/* SPDX-License-Identifier: GPL-2.0-or-later * Copyright 2022 Blender Foundation. */ /** \file * \ingroup draw */ #include "BLI_math_geom.h" #include "GPU_compute.h" #include "GPU_debug.h" #include "draw_debug.hh" #include "draw_shader.h" #include "draw_view.hh" namespace blender::draw { void View::sync(const float4x4 &view_mat, const float4x4 &win_mat) { data_.viewmat = view_mat; data_.viewinv = view_mat.inverted(); data_.winmat = win_mat; data_.wininv = win_mat.inverted(); is_inverted_ = (is_negative_m4(view_mat.ptr()) == is_negative_m4(win_mat.ptr())); BoundBox &bound_box = *reinterpret_cast(&culling_.corners); BoundSphere &bound_sphere = *reinterpret_cast(&culling_.bound_sphere); frustum_boundbox_calc(bound_box); frustum_culling_planes_calc(); frustum_culling_sphere_calc(bound_box, bound_sphere); dirty_ = true; } void View::frustum_boundbox_calc(BoundBox &bbox) { /* Extract the 8 corners from a Projection Matrix. */ #if 0 /* Equivalent to this but it has accuracy problems. */ BKE_boundbox_init_from_minmax(&bbox, float3(-1.0f),float3(1.0f)); for (int i = 0; i < 8; i++) { mul_project_m4_v3(data_.wininv.ptr(), bbox.vec[i]); } #endif float left, right, bottom, top, near, far; bool is_persp = data_.winmat[3][3] == 0.0f; projmat_dimensions(data_.winmat.ptr(), &left, &right, &bottom, &top, &near, &far); bbox.vec[0][2] = bbox.vec[3][2] = bbox.vec[7][2] = bbox.vec[4][2] = -near; bbox.vec[0][0] = bbox.vec[3][0] = left; bbox.vec[4][0] = bbox.vec[7][0] = right; bbox.vec[0][1] = bbox.vec[4][1] = bottom; bbox.vec[7][1] = bbox.vec[3][1] = top; /* Get the coordinates of the far plane. */ if (is_persp) { float sca_far = far / near; left *= sca_far; right *= sca_far; bottom *= sca_far; top *= sca_far; } bbox.vec[1][2] = bbox.vec[2][2] = bbox.vec[6][2] = bbox.vec[5][2] = -far; bbox.vec[1][0] = bbox.vec[2][0] = left; bbox.vec[6][0] = bbox.vec[5][0] = right; bbox.vec[1][1] = bbox.vec[5][1] = bottom; bbox.vec[2][1] = bbox.vec[6][1] = top; /* Transform into world space. */ for (int i = 0; i < 8; i++) { mul_m4_v3(data_.viewinv.ptr(), bbox.vec[i]); } } void View::frustum_culling_planes_calc() { float4x4 persmat = data_.winmat * data_.viewmat; planes_from_projmat(persmat.ptr(), culling_.planes[0], culling_.planes[5], culling_.planes[1], culling_.planes[3], culling_.planes[4], culling_.planes[2]); /* Normalize. */ for (int p = 0; p < 6; p++) { culling_.planes[p].w /= normalize_v3(culling_.planes[p]); } } void View::frustum_culling_sphere_calc(const BoundBox &bbox, BoundSphere &bsphere) { /* Extract Bounding Sphere */ if (data_.winmat[3][3] != 0.0f) { /* Orthographic */ /* The most extreme points on the near and far plane. (normalized device coords). */ const float *nearpoint = bbox.vec[0]; const float *farpoint = bbox.vec[6]; /* just use median point */ mid_v3_v3v3(bsphere.center, farpoint, nearpoint); bsphere.radius = len_v3v3(bsphere.center, farpoint); } else if (data_.winmat[2][0] == 0.0f && data_.winmat[2][1] == 0.0f) { /* Perspective with symmetrical frustum. */ /* We obtain the center and radius of the circumscribed circle of the * isosceles trapezoid composed by the diagonals of the near and far clipping plane */ /* center of each clipping plane */ float mid_min[3], mid_max[3]; mid_v3_v3v3(mid_min, bbox.vec[3], bbox.vec[4]); mid_v3_v3v3(mid_max, bbox.vec[2], bbox.vec[5]); /* square length of the diagonals of each clipping plane */ float a_sq = len_squared_v3v3(bbox.vec[3], bbox.vec[4]); float b_sq = len_squared_v3v3(bbox.vec[2], bbox.vec[5]); /* distance squared between clipping planes */ float h_sq = len_squared_v3v3(mid_min, mid_max); float fac = (4 * h_sq + b_sq - a_sq) / (8 * h_sq); /* The goal is to get the smallest sphere, * not the sphere that passes through each corner */ CLAMP(fac, 0.0f, 1.0f); interp_v3_v3v3(bsphere.center, mid_min, mid_max, fac); /* distance from the center to one of the points of the far plane (1, 2, 5, 6) */ bsphere.radius = len_v3v3(bsphere.center, bbox.vec[1]); } else { /* Perspective with asymmetrical frustum. */ /* We put the sphere center on the line that goes from origin * to the center of the far clipping plane. */ /* Detect which of the corner of the far clipping plane is the farthest to the origin */ float nfar[4]; /* most extreme far point in NDC space */ float farxy[2]; /* far-point projection onto the near plane */ float farpoint[3] = {0.0f}; /* most extreme far point in camera coordinate */ float nearpoint[3]; /* most extreme near point in camera coordinate */ float farcenter[3] = {0.0f}; /* center of far clipping plane in camera coordinate */ float F = -1.0f, N; /* square distance of far and near point to origin */ float f, n; /* distance of far and near point to z axis. f is always > 0 but n can be < 0 */ float e, s; /* far and near clipping distance (<0) */ float c; /* slope of center line = distance of far clipping center * to z axis / far clipping distance. */ float z; /* projection of sphere center on z axis (<0) */ /* Find farthest corner and center of far clip plane. */ float corner[3] = {1.0f, 1.0f, 1.0f}; /* in clip space */ for (int i = 0; i < 4; i++) { float point[3]; mul_v3_project_m4_v3(point, data_.wininv.ptr(), corner); float len = len_squared_v3(point); if (len > F) { copy_v3_v3(nfar, corner); copy_v3_v3(farpoint, point); F = len; } add_v3_v3(farcenter, point); /* rotate by 90 degree to walk through the 4 points of the far clip plane */ float tmp = corner[0]; corner[0] = -corner[1]; corner[1] = tmp; } /* the far center is the average of the far clipping points */ mul_v3_fl(farcenter, 0.25f); /* the extreme near point is the opposite point on the near clipping plane */ copy_v3_fl3(nfar, -nfar[0], -nfar[1], -1.0f); mul_v3_project_m4_v3(nearpoint, data_.wininv.ptr(), nfar); /* this is a frustum projection */ N = len_squared_v3(nearpoint); e = farpoint[2]; s = nearpoint[2]; /* distance to view Z axis */ f = len_v2(farpoint); /* get corresponding point on the near plane */ mul_v2_v2fl(farxy, farpoint, s / e); /* this formula preserve the sign of n */ sub_v2_v2(nearpoint, farxy); n = f * s / e - len_v2(nearpoint); c = len_v2(farcenter) / e; /* the big formula, it simplifies to (F-N)/(2(e-s)) for the symmetric case */ z = (F - N) / (2.0f * (e - s + c * (f - n))); bsphere.center[0] = farcenter[0] * z / e; bsphere.center[1] = farcenter[1] * z / e; bsphere.center[2] = z; /* For XR, the view matrix may contain a scale factor. Then, transforming only the center * into world space after calculating the radius will result in incorrect behavior. */ mul_m4_v3(data_.viewinv.ptr(), bsphere.center); /* Transform to world space. */ mul_m4_v3(data_.viewinv.ptr(), farpoint); bsphere.radius = len_v3v3(bsphere.center, farpoint); } } void View::bind() { if (dirty_) { dirty_ = false; data_.push_update(); culling_.push_update(); } GPU_uniformbuf_bind(data_, DRW_VIEW_UBO_SLOT); GPU_uniformbuf_bind(culling_, DRW_VIEW_CULLING_UBO_SLOT); } void View::compute_visibility(ObjectBoundsBuf &bounds, uint resource_len, bool debug_freeze) { if (debug_freeze && frozen_ == false) { data_freeze_ = static_cast(data_); data_freeze_.push_update(); culling_freeze_ = static_cast(culling_); culling_freeze_.push_update(); } #ifdef DEBUG if (debug_freeze) { float4x4 persmat = data_freeze_.winmat * data_freeze_.viewmat; drw_debug_matrix_as_bbox(persmat.inverted(), float4(0, 1, 0, 1)); } #endif frozen_ = debug_freeze; GPU_debug_group_begin("View.compute_visibility"); /* TODO(fclem): Early out if visibility hasn't changed. */ /* TODO(fclem): Resize to nearest pow2 to reduce fragmentation. */ visibility_buf_.resize(divide_ceil_u(resource_len, 128)); uint32_t data = 0xFFFFFFFFu; GPU_storagebuf_clear(visibility_buf_, GPU_R32UI, GPU_DATA_UINT, &data); if (do_visibility_) { GPUShader *shader = DRW_shader_draw_visibility_compute_get(); GPU_shader_bind(shader); GPU_shader_uniform_1i(shader, "resource_len", resource_len); GPU_storagebuf_bind(bounds, GPU_shader_get_ssbo(shader, "bounds_buf")); GPU_storagebuf_bind(visibility_buf_, GPU_shader_get_ssbo(shader, "visibility_buf")); GPU_uniformbuf_bind((frozen_) ? data_freeze_ : data_, DRW_VIEW_UBO_SLOT); GPU_compute_dispatch(shader, divide_ceil_u(resource_len, DRW_VISIBILITY_GROUP_SIZE), 1, 1); GPU_memory_barrier(GPU_BARRIER_SHADER_STORAGE); } if (frozen_) { /* Bind back the non frozen data. */ GPU_uniformbuf_bind(data_, DRW_VIEW_UBO_SLOT); } GPU_debug_group_end(); } } // namespace blender::draw