/* * ***** BEGIN GPL LICENSE BLOCK ***** * * This program is free software; you can redistribute it and/or * modify it under the terms of the GNU General Public License * as published by the Free Software Foundation; either version 2 * of the License, or (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software Foundation, * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. * * The Original Code is Copyright (C) 2001-2002 by NaN Holding BV. * All rights reserved. * * Contributor(s): Daniel Genrich * * ***** END GPL LICENSE BLOCK ***** */ /** \file blender/editors/space_view3d/drawvolume.c * \ingroup spview3d */ #include #include #include "MEM_guardedalloc.h" #include "DNA_scene_types.h" #include "DNA_screen_types.h" #include "DNA_smoke_types.h" #include "DNA_view3d_types.h" #include "DNA_property_types.h" #include "BLI_utildefines.h" #include "BLI_math.h" #include "BKE_particle.h" #include "smoke_API.h" #include "BIF_gl.h" #include "GPU_extensions.h" #include "ED_mesh.h" #include "BLF_api.h" #include "view3d_intern.h" // own include struct GPUTexture; // #define DEBUG_DRAW_TIME #ifdef DEBUG_DRAW_TIME # include "PIL_time.h" # include "PIL_time_utildefines.h" #endif static int intersect_edges(float (*points)[3], float a, float b, float c, float d, float edges[12][2][3]) { int i; float t; int numpoints = 0; for (i = 0; i < 12; i++) { t = -(a * edges[i][0][0] + b * edges[i][0][1] + c * edges[i][0][2] + d) / (a * edges[i][1][0] + b * edges[i][1][1] + c * edges[i][1][2]); if ((t > 0) && (t < 1)) { points[numpoints][0] = edges[i][0][0] + edges[i][1][0] * t; points[numpoints][1] = edges[i][0][1] + edges[i][1][1] * t; points[numpoints][2] = edges[i][0][2] + edges[i][1][2] * t; numpoints++; } } return numpoints; } static bool convex(const float p0[3], const float up[3], const float a[3], const float b[3]) { /* Vec3 va = a-p0, vb = b-p0; */ float va[3], vb[3], tmp[3]; sub_v3_v3v3(va, a, p0); sub_v3_v3v3(vb, b, p0); cross_v3_v3v3(tmp, va, vb); return dot_v3v3(up, tmp) >= 0; } void draw_smoke_volume(SmokeDomainSettings *sds, Object *ob, GPUTexture *tex, const float min[3], const float max[3], const int res[3], float dx, float UNUSED(base_scale), const float viewnormal[3], GPUTexture *tex_shadow, GPUTexture *tex_flame) { const float ob_sizei[3] = { 1.0f / fabsf(ob->size[0]), 1.0f / fabsf(ob->size[1]), 1.0f / fabsf(ob->size[2])}; int i, j, k, n, good_index; float d /*, d0 */ /* UNUSED */, dd, ds; float (*points)[3] = NULL; int numpoints = 0; float cor[3] = {1.0f, 1.0f, 1.0f}; int gl_depth = 0, gl_blend = 0; int use_fire = (sds->active_fields & SM_ACTIVE_FIRE); /* draw slices of smoke is adapted from c++ code authored * by: Johannes Schmid and Ingemar Rask, 2006, johnny@grob.org */ float cv[][3] = { {1.0f, 1.0f, 1.0f}, {-1.0f, 1.0f, 1.0f}, {-1.0f, -1.0f, 1.0f}, {1.0f, -1.0f, 1.0f}, {1.0f, 1.0f, -1.0f}, {-1.0f, 1.0f, -1.0f}, {-1.0f, -1.0f, -1.0f}, {1.0f, -1.0f, -1.0f} }; /* edges have the form edges[n][0][xyz] + t*edges[n][1][xyz] */ float edges[12][2][3] = { {{1.0f, 1.0f, -1.0f}, {0.0f, 0.0f, 2.0f}}, {{-1.0f, 1.0f, -1.0f}, {0.0f, 0.0f, 2.0f}}, {{-1.0f, -1.0f, -1.0f}, {0.0f, 0.0f, 2.0f}}, {{1.0f, -1.0f, -1.0f}, {0.0f, 0.0f, 2.0f}}, {{1.0f, -1.0f, 1.0f}, {0.0f, 2.0f, 0.0f}}, {{-1.0f, -1.0f, 1.0f}, {0.0f, 2.0f, 0.0f}}, {{-1.0f, -1.0f, -1.0f}, {0.0f, 2.0f, 0.0f}}, {{1.0f, -1.0f, -1.0f}, {0.0f, 2.0f, 0.0f}}, {{-1.0f, 1.0f, 1.0f}, {2.0f, 0.0f, 0.0f}}, {{-1.0f, -1.0f, 1.0f}, {2.0f, 0.0f, 0.0f}}, {{-1.0f, -1.0f, -1.0f}, {2.0f, 0.0f, 0.0f}}, {{-1.0f, 1.0f, -1.0f}, {2.0f, 0.0f, 0.0f}} }; unsigned char *spec_data; float *spec_pixels; GPUTexture *tex_spec; /* Fragment program to calculate the view3d of smoke */ /* using 4 textures, density, shadow, flame and flame spectrum */ const char *shader_basic = "!!ARBfp1.0\n" "PARAM dx = program.local[0];\n" "PARAM darkness = program.local[1];\n" "PARAM render = program.local[2];\n" "PARAM f = {1.442695041, 1.442695041, 1.442695041, 0.01};\n" "TEMP temp, shadow, flame, spec, value;\n" "TEX temp, fragment.texcoord[0], texture[0], 3D;\n" "TEX shadow, fragment.texcoord[0], texture[1], 3D;\n" "TEX flame, fragment.texcoord[0], texture[2], 3D;\n" "TEX spec, flame.r, texture[3], 1D;\n" /* calculate shading factor from density */ "MUL value.r, temp.a, darkness.a;\n" "MUL value.r, value.r, dx.r;\n" "MUL value.r, value.r, f.r;\n" "EX2 temp, -value.r;\n" /* alpha */ "SUB temp.a, 1.0, temp.r;\n" /* shade colors */ "MUL temp.r, temp.r, shadow.r;\n" "MUL temp.g, temp.g, shadow.r;\n" "MUL temp.b, temp.b, shadow.r;\n" "MUL temp.r, temp.r, darkness.r;\n" "MUL temp.g, temp.g, darkness.g;\n" "MUL temp.b, temp.b, darkness.b;\n" /* for now this just replace smoke shading if rendering fire */ "CMP result.color, render.r, temp, spec;\n" "END\n"; /* color shader */ const char *shader_color = "!!ARBfp1.0\n" "PARAM dx = program.local[0];\n" "PARAM darkness = program.local[1];\n" "PARAM render = program.local[2];\n" "PARAM f = {1.442695041, 1.442695041, 1.442695041, 1.442695041};\n" "TEMP temp, shadow, flame, spec, value;\n" "TEX temp, fragment.texcoord[0], texture[0], 3D;\n" "TEX shadow, fragment.texcoord[0], texture[1], 3D;\n" "TEX flame, fragment.texcoord[0], texture[2], 3D;\n" "TEX spec, flame.r, texture[3], 1D;\n" /* unpremultiply volume texture */ "RCP value.r, temp.a;\n" "MUL temp.r, temp.r, value.r;\n" "MUL temp.g, temp.g, value.r;\n" "MUL temp.b, temp.b, value.r;\n" /* calculate shading factor from density */ "MUL value.r, temp.a, darkness.a;\n" "MUL value.r, value.r, dx.r;\n" "MUL value.r, value.r, f.r;\n" "EX2 value.r, -value.r;\n" /* alpha */ "SUB temp.a, 1.0, value.r;\n" /* shade colors */ "MUL temp.r, temp.r, shadow.r;\n" "MUL temp.g, temp.g, shadow.r;\n" "MUL temp.b, temp.b, shadow.r;\n" "MUL temp.r, temp.r, value.r;\n" "MUL temp.g, temp.g, value.r;\n" "MUL temp.b, temp.b, value.r;\n" /* for now this just replace smoke shading if rendering fire */ "CMP result.color, render.r, temp, spec;\n" "END\n"; GLuint prog; float size[3]; if (!tex) { printf("Could not allocate 3D texture for 3D View smoke drawing.\n"); return; } #ifdef DEBUG_DRAW_TIME TIMEIT_START(draw); #endif /* generate flame spectrum texture */ #define SPEC_WIDTH 256 #define FIRE_THRESH 7 #define MAX_FIRE_ALPHA 0.06f #define FULL_ON_FIRE 100 spec_data = malloc(SPEC_WIDTH * 4 * sizeof(unsigned char)); flame_get_spectrum(spec_data, SPEC_WIDTH, 1500, 3000); spec_pixels = malloc(SPEC_WIDTH * 4 * 16 * 16 * sizeof(float)); for (i = 0; i < 16; i++) { for (j = 0; j < 16; j++) { for (k = 0; k < SPEC_WIDTH; k++) { int index = (j * SPEC_WIDTH * 16 + i * SPEC_WIDTH + k) * 4; if (k >= FIRE_THRESH) { spec_pixels[index] = ((float)spec_data[k * 4]) / 255.0f; spec_pixels[index + 1] = ((float)spec_data[k * 4 + 1]) / 255.0f; spec_pixels[index + 2] = ((float)spec_data[k * 4 + 2]) / 255.0f; spec_pixels[index + 3] = MAX_FIRE_ALPHA * ( (k > FULL_ON_FIRE) ? 1.0f : (k - FIRE_THRESH) / ((float)FULL_ON_FIRE - FIRE_THRESH)); } else { spec_pixels[index] = spec_pixels[index + 1] = spec_pixels[index + 2] = spec_pixels[index + 3] = 0.0f; } } } } tex_spec = GPU_texture_create_1D(SPEC_WIDTH, spec_pixels, NULL); #undef SPEC_WIDTH #undef FIRE_THRESH #undef MAX_FIRE_ALPHA #undef FULL_ON_FIRE sub_v3_v3v3(size, max, min); /* maxx, maxy, maxz */ cv[0][0] = max[0]; cv[0][1] = max[1]; cv[0][2] = max[2]; /* minx, maxy, maxz */ cv[1][0] = min[0]; cv[1][1] = max[1]; cv[1][2] = max[2]; /* minx, miny, maxz */ cv[2][0] = min[0]; cv[2][1] = min[1]; cv[2][2] = max[2]; /* maxx, miny, maxz */ cv[3][0] = max[0]; cv[3][1] = min[1]; cv[3][2] = max[2]; /* maxx, maxy, minz */ cv[4][0] = max[0]; cv[4][1] = max[1]; cv[4][2] = min[2]; /* minx, maxy, minz */ cv[5][0] = min[0]; cv[5][1] = max[1]; cv[5][2] = min[2]; /* minx, miny, minz */ cv[6][0] = min[0]; cv[6][1] = min[1]; cv[6][2] = min[2]; /* maxx, miny, minz */ cv[7][0] = max[0]; cv[7][1] = min[1]; cv[7][2] = min[2]; copy_v3_v3(edges[0][0], cv[4]); /* maxx, maxy, minz */ copy_v3_v3(edges[1][0], cv[5]); /* minx, maxy, minz */ copy_v3_v3(edges[2][0], cv[6]); /* minx, miny, minz */ copy_v3_v3(edges[3][0], cv[7]); /* maxx, miny, minz */ copy_v3_v3(edges[4][0], cv[3]); /* maxx, miny, maxz */ copy_v3_v3(edges[5][0], cv[2]); /* minx, miny, maxz */ copy_v3_v3(edges[6][0], cv[6]); /* minx, miny, minz */ copy_v3_v3(edges[7][0], cv[7]); /* maxx, miny, minz */ copy_v3_v3(edges[8][0], cv[1]); /* minx, maxy, maxz */ copy_v3_v3(edges[9][0], cv[2]); /* minx, miny, maxz */ copy_v3_v3(edges[10][0], cv[6]); /* minx, miny, minz */ copy_v3_v3(edges[11][0], cv[5]); /* minx, maxy, minz */ // printf("size x: %f, y: %f, z: %f\n", size[0], size[1], size[2]); // printf("min[2]: %f, max[2]: %f\n", min[2], max[2]); edges[0][1][2] = size[2]; edges[1][1][2] = size[2]; edges[2][1][2] = size[2]; edges[3][1][2] = size[2]; edges[4][1][1] = size[1]; edges[5][1][1] = size[1]; edges[6][1][1] = size[1]; edges[7][1][1] = size[1]; edges[8][1][0] = size[0]; edges[9][1][0] = size[0]; edges[10][1][0] = size[0]; edges[11][1][0] = size[0]; glGetBooleanv(GL_BLEND, (GLboolean *)&gl_blend); glGetBooleanv(GL_DEPTH_TEST, (GLboolean *)&gl_depth); glDepthMask(GL_FALSE); glDisable(GL_DEPTH_TEST); glEnable(GL_BLEND); /* find cube vertex that is closest to the viewer */ for (i = 0; i < 8; i++) { float x, y, z; x = cv[i][0] - viewnormal[0] * size[0] * 0.5f; y = cv[i][1] - viewnormal[1] * size[1] * 0.5f; z = cv[i][2] - viewnormal[2] * size[2] * 0.5f; if ((x >= min[0]) && (x <= max[0]) && (y >= min[1]) && (y <= max[1]) && (z >= min[2]) && (z <= max[2])) { break; } } if (i >= 8) { /* fallback, avoid using buffer over-run */ i = 0; } // printf("i: %d\n", i); // printf("point %f, %f, %f\n", cv[i][0], cv[i][1], cv[i][2]); if (GL_TRUE == glewIsSupported("GL_ARB_fragment_program")) { glEnable(GL_FRAGMENT_PROGRAM_ARB); glGenProgramsARB(1, &prog); glBindProgramARB(GL_FRAGMENT_PROGRAM_ARB, prog); /* set shader */ if (sds->active_fields & SM_ACTIVE_COLORS) glProgramStringARB(GL_FRAGMENT_PROGRAM_ARB, GL_PROGRAM_FORMAT_ASCII_ARB, (GLsizei)strlen(shader_color), shader_color); else glProgramStringARB(GL_FRAGMENT_PROGRAM_ARB, GL_PROGRAM_FORMAT_ASCII_ARB, (GLsizei)strlen(shader_basic), shader_basic); /* cell spacing */ glProgramLocalParameter4fARB(GL_FRAGMENT_PROGRAM_ARB, 0, dx, dx, dx, 1.0); /* custom parameter for smoke style (higher = thicker) */ if (sds->active_fields & SM_ACTIVE_COLORS) glProgramLocalParameter4fARB(GL_FRAGMENT_PROGRAM_ARB, 1, 1.0, 1.0, 1.0, 10.0); else glProgramLocalParameter4fARB(GL_FRAGMENT_PROGRAM_ARB, 1, sds->active_color[0], sds->active_color[1], sds->active_color[2], 10.0); } else printf("Your gfx card does not support 3D View smoke drawing.\n"); GPU_texture_bind(tex, 0); if (tex_shadow) GPU_texture_bind(tex_shadow, 1); else printf("No volume shadow\n"); if (tex_flame) { GPU_texture_bind(tex_flame, 2); GPU_texture_bind(tex_spec, 3); } if (!GPU_non_power_of_two_support()) { cor[0] = (float)res[0] / (float)power_of_2_max_u(res[0]); cor[1] = (float)res[1] / (float)power_of_2_max_u(res[1]); cor[2] = (float)res[2] / (float)power_of_2_max_u(res[2]); } cor[0] /= size[0]; cor[1] /= size[1]; cor[2] /= size[2]; /* our slices are defined by the plane equation a*x + b*y +c*z + d = 0 * (a,b,c), the plane normal, are given by viewdir * d is the parameter along the view direction. the first d is given by * inserting previously found vertex into the plane equation */ /* d0 = (viewnormal[0]*cv[i][0] + viewnormal[1]*cv[i][1] + viewnormal[2]*cv[i][2]); */ /* UNUSED */ ds = (fabsf(viewnormal[0]) * size[0] + fabsf(viewnormal[1]) * size[1] + fabsf(viewnormal[2]) * size[2]); dd = max_fff(sds->global_size[0], sds->global_size[1], sds->global_size[2]) / 128.f; n = 0; good_index = i; // printf("d0: %f, dd: %f, ds: %f\n\n", d0, dd, ds); points = MEM_callocN(sizeof(*points) * 12, "smoke_points_preview"); while (1) { float p0[3]; float tmp_point[3], tmp_point2[3]; if (dd * (float)n > ds) break; copy_v3_v3(tmp_point, viewnormal); mul_v3_fl(tmp_point, -dd * ((ds / dd) - (float)n)); add_v3_v3v3(tmp_point2, cv[good_index], tmp_point); d = dot_v3v3(tmp_point2, viewnormal); // printf("my d: %f\n", d); /* intersect_edges returns the intersection points of all cube edges with * the given plane that lie within the cube */ numpoints = intersect_edges(points, viewnormal[0], viewnormal[1], viewnormal[2], -d, edges); // printf("points: %d\n", numpoints); if (numpoints > 2) { copy_v3_v3(p0, points[0]); /* sort points to get a convex polygon */ for (i = 1; i < numpoints - 1; i++) { for (j = i + 1; j < numpoints; j++) { if (!convex(p0, viewnormal, points[j], points[i])) { swap_v3_v3(points[i], points[j]); } } } /* render fire slice */ if (use_fire) { if (GLEW_VERSION_1_4) glBlendFuncSeparate(GL_SRC_ALPHA, GL_ONE, GL_ONE, GL_ONE); else glBlendFunc(GL_SRC_ALPHA, GL_ONE); glProgramLocalParameter4fARB(GL_FRAGMENT_PROGRAM_ARB, 2, 1.0, 0.0, 0.0, 0.0); glBegin(GL_POLYGON); glColor3f(1.0, 1.0, 1.0); for (i = 0; i < numpoints; i++) { glTexCoord3d((points[i][0] - min[0]) * cor[0], (points[i][1] - min[1]) * cor[1], (points[i][2] - min[2]) * cor[2]); glVertex3f(points[i][0] * ob_sizei[0], points[i][1] * ob_sizei[1], points[i][2] * ob_sizei[2]); } glEnd(); } /* render smoke slice */ if (GLEW_VERSION_1_4) glBlendFuncSeparate(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, GL_ONE, GL_ONE_MINUS_SRC_ALPHA); else glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA); glProgramLocalParameter4fARB(GL_FRAGMENT_PROGRAM_ARB, 2, -1.0, 0.0, 0.0, 0.0); glBegin(GL_POLYGON); glColor3f(1.0, 1.0, 1.0); for (i = 0; i < numpoints; i++) { glTexCoord3d((points[i][0] - min[0]) * cor[0], (points[i][1] - min[1]) * cor[1], (points[i][2] - min[2]) * cor[2]); glVertex3f(points[i][0] * ob_sizei[0], points[i][1] * ob_sizei[1], points[i][2] * ob_sizei[2]); } glEnd(); } n++; } #ifdef DEBUG_DRAW_TIME printf("Draw Time: %f\n", (float)TIMEIT_VALUE(draw)); TIMEIT_END(draw); #endif if (tex_shadow) GPU_texture_unbind(tex_shadow); GPU_texture_unbind(tex); if (tex_flame) { GPU_texture_unbind(tex_flame); GPU_texture_unbind(tex_spec); } GPU_texture_free(tex_spec); free(spec_data); free(spec_pixels); if (GLEW_ARB_fragment_program) { glDisable(GL_FRAGMENT_PROGRAM_ARB); glDeleteProgramsARB(1, &prog); } MEM_freeN(points); if (!gl_blend) { glDisable(GL_BLEND); } if (gl_depth) { glEnable(GL_DEPTH_TEST); } glDepthMask(GL_TRUE); } #ifdef SMOKE_DEBUG_VELOCITY void draw_smoke_velocity(SmokeDomainSettings *domain, Object *ob) { float x, y, z; float x0, y0, z0; int *base_res = domain->base_res; int *res = domain->res; int *res_min = domain->res_min; int *res_max = domain->res_max; float *vel_x = smoke_get_velocity_x(domain->fluid); float *vel_y = smoke_get_velocity_y(domain->fluid); float *vel_z = smoke_get_velocity_z(domain->fluid); float min[3]; float *cell_size = domain->cell_size; float step_size = ((float)max_iii(base_res[0], base_res[1], base_res[2])) / 16.f; float vf = domain->scale / 16.f * 2.f; /* velocity factor */ glLineWidth(1.0f); /* set first position so that it doesn't jump when domain moves */ x0 = res_min[0] + fmod(-(float)domain->shift[0] + res_min[0], step_size); y0 = res_min[1] + fmod(-(float)domain->shift[1] + res_min[1], step_size); z0 = res_min[2] + fmod(-(float)domain->shift[2] + res_min[2], step_size); if (x0 < res_min[0]) x0 += step_size; if (y0 < res_min[1]) y0 += step_size; if (z0 < res_min[2]) z0 += step_size; add_v3_v3v3(min, domain->p0, domain->obj_shift_f); for (x = floor(x0); x < res_max[0]; x += step_size) for (y = floor(y0); y < res_max[1]; y += step_size) for (z = floor(z0); z < res_max[2]; z += step_size) { int index = (floor(x) - res_min[0]) + (floor(y) - res_min[1]) * res[0] + (floor(z) - res_min[2]) * res[0] * res[1]; float pos[3] = {min[0] + ((float)x + 0.5f) * cell_size[0], min[1] + ((float)y + 0.5f) * cell_size[1], min[2] + ((float)z + 0.5f) * cell_size[2]}; float vel = sqrtf(vel_x[index] * vel_x[index] + vel_y[index] * vel_y[index] + vel_z[index] * vel_z[index]); /* draw heat as scaled "arrows" */ if (vel >= 0.01f) { float col_g = 1.0f - vel; CLAMP(col_g, 0.0f, 1.0f); glColor3f(1.0f, col_g, 0.0f); glPointSize(10.0f * vel); glBegin(GL_LINES); glVertex3f(pos[0], pos[1], pos[2]); glVertex3f(pos[0] + vel_x[index] * vf, pos[1] + vel_y[index] * vf, pos[2] + vel_z[index] * vf); glEnd(); glBegin(GL_POINTS); glVertex3f(pos[0] + vel_x[index] * vf, pos[1] + vel_y[index] * vf, pos[2] + vel_z[index] * vf); glEnd(); } } } #endif #ifdef SMOKE_DEBUG_HEAT void draw_smoke_heat(SmokeDomainSettings *domain, Object *ob) { float x, y, z; float x0, y0, z0; int *base_res = domain->base_res; int *res = domain->res; int *res_min = domain->res_min; int *res_max = domain->res_max; float *heat = smoke_get_heat(domain->fluid); float min[3]; float *cell_size = domain->cell_size; float step_size = ((float)max_iii(base_res[0], base_res[1], base_res[2])) / 16.f; float vf = domain->scale / 16.f * 2.f; /* velocity factor */ /* set first position so that it doesn't jump when domain moves */ x0 = res_min[0] + fmod(-(float)domain->shift[0] + res_min[0], step_size); y0 = res_min[1] + fmod(-(float)domain->shift[1] + res_min[1], step_size); z0 = res_min[2] + fmod(-(float)domain->shift[2] + res_min[2], step_size); if (x0 < res_min[0]) x0 += step_size; if (y0 < res_min[1]) y0 += step_size; if (z0 < res_min[2]) z0 += step_size; add_v3_v3v3(min, domain->p0, domain->obj_shift_f); for (x = floor(x0); x < res_max[0]; x += step_size) for (y = floor(y0); y < res_max[1]; y += step_size) for (z = floor(z0); z < res_max[2]; z += step_size) { int index = (floor(x) - res_min[0]) + (floor(y) - res_min[1]) * res[0] + (floor(z) - res_min[2]) * res[0] * res[1]; float pos[3] = {min[0] + ((float)x + 0.5f) * cell_size[0], min[1] + ((float)y + 0.5f) * cell_size[1], min[2] + ((float)z + 0.5f) * cell_size[2]}; /* draw heat as different sized points */ if (heat[index] >= 0.01f) { float col_gb = 1.0f - heat[index]; CLAMP(col_gb, 0.0f, 1.0f); glColor3f(1.0f, col_gb, col_gb); glPointSize(24.0f * heat[index]); glBegin(GL_POINTS); glVertex3f(pos[0], pos[1], pos[2]); glEnd(); } } } #endif