From b602fff4133fd793b04839e4e0514c8c101fa50a Mon Sep 17 00:00:00 2001 From: Tavian Barnes Date: Wed, 21 Dec 2011 15:51:47 -0500 Subject: Add teapots WIP. --- libdimension/teapot.c | 455 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 455 insertions(+) create mode 100644 libdimension/teapot.c (limited to 'libdimension/teapot.c') diff --git a/libdimension/teapot.c b/libdimension/teapot.c new file mode 100644 index 0000000..32c8a16 --- /dev/null +++ b/libdimension/teapot.c @@ -0,0 +1,455 @@ +/************************************************************************* + * Copyright (C) 2011 Tavian Barnes * + * * + * This file is part of The Dimension Library. * + * * + * The Dimension Library is free software; you can redistribute it and/ * + * or modify it under the terms of the GNU Lesser General Public License * + * as published by the Free Software Foundation; either version 3 of the * + * License, or (at your option) any later version. * + * * + * The Dimension Library 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 * + * Lesser General Public License for more details. * + * * + * You should have received a copy of the GNU Lesser General Public * + * License along with this program. If not, see * + * . * + *************************************************************************/ + +/** + * @file + * Teapots. + */ + +#include "dimension-internal.h" + +static const dmnsn_vector dmnsn_teapot_verticies[127] = { + { .x = +0.20000, .y = +1.12500, .z = +0.00000 }, + { .x = +0.20000, .y = +1.12500, .z = -0.11200 }, + { .x = +0.11200, .y = +1.12500, .z = -0.20000 }, + { .x = +0.00000, .y = +1.12500, .z = -0.20000 }, + { .x = +1.33750, .y = +0.95625, .z = +0.00000 }, + { .x = +1.33750, .y = +0.95625, .z = -0.74900 }, + { .x = +0.74900, .y = +0.95625, .z = -1.33750 }, + { .x = +0.00000, .y = +0.95625, .z = -1.33750 }, + { .x = +1.43750, .y = +0.95625, .z = +0.00000 }, + { .x = +1.43750, .y = +0.95625, .z = -0.80500 }, + { .x = +0.80500, .y = +0.95625, .z = -1.43750 }, + { .x = +0.00000, .y = +0.95625, .z = -1.43750 }, + { .x = +1.50000, .y = +0.82500, .z = +0.00000 }, + { .x = +1.50000, .y = +0.82500, .z = -0.84000 }, + { .x = +0.84000, .y = +0.82500, .z = -1.50000 }, + { .x = +0.00000, .y = +0.82500, .z = -1.50000 }, + { .x = +1.75000, .y = +0.30000, .z = +0.00000 }, + { .x = +1.75000, .y = +0.30000, .z = -0.98000 }, + { .x = +0.98000, .y = +0.30000, .z = -1.75000 }, + { .x = +0.00000, .y = +0.30000, .z = -1.75000 }, + { .x = +2.00000, .y = -0.22500, .z = +0.00000 }, + { .x = +2.00000, .y = -0.22500, .z = -1.12000 }, + { .x = +1.12000, .y = -0.22500, .z = -2.00000 }, + { .x = +0.00000, .y = -0.22500, .z = -2.00000 }, + { .x = +2.00000, .y = -0.67500, .z = +0.00000 }, + { .x = +2.00000, .y = -0.67500, .z = -1.12000 }, + { .x = +1.12000, .y = -0.67500, .z = -2.00000 }, + { .x = +0.00000, .y = -0.67500, .z = -2.00000 }, + { .x = -2.00000, .y = -0.67500, .z = +0.00000 }, + { .x = +2.00000, .y = -1.12500, .z = +0.00000 }, + { .x = +2.00000, .y = -1.12500, .z = -1.12000 }, + { .x = +1.12000, .y = -1.12500, .z = -2.00000 }, + { .x = +0.00000, .y = -1.12500, .z = -2.00000 }, + { .x = +1.50000, .y = -1.35000, .z = +0.00000 }, + { .x = +1.50000, .y = -1.35000, .z = -0.84000 }, + { .x = +0.84000, .y = -1.35000, .z = -1.50000 }, + { .x = +0.00000, .y = -1.35000, .z = -1.50000 }, + { .x = +1.50000, .y = -1.42500, .z = +0.00000 }, + { .x = +1.50000, .y = -1.42500, .z = -0.84000 }, + { .x = +0.84000, .y = -1.42500, .z = -1.50000 }, + { .x = +0.00000, .y = -1.42500, .z = -1.50000 }, + { .x = -1.60000, .y = +0.45000, .z = +0.00000 }, + { .x = -1.60000, .y = +0.45000, .z = -0.30000 }, + { .x = -1.50000, .y = +0.67500, .z = -0.30000 }, + { .x = -1.50000, .y = +0.67500, .z = +0.00000 }, + { .x = -2.30000, .y = +0.45000, .z = +0.00000 }, + { .x = -2.30000, .y = +0.45000, .z = -0.30000 }, + { .x = -2.50000, .y = +0.67500, .z = -0.30000 }, + { .x = -2.50000, .y = +0.67500, .z = +0.00000 }, + { .x = -2.70000, .y = +0.45000, .z = +0.00000 }, + { .x = -2.70000, .y = +0.45000, .z = -0.30000 }, + { .x = -3.00000, .y = +0.67500, .z = -0.30000 }, + { .x = -3.00000, .y = +0.67500, .z = +0.00000 }, + { .x = -2.70000, .y = +0.22500, .z = +0.00000 }, + { .x = -2.70000, .y = +0.22500, .z = -0.30000 }, + { .x = -3.00000, .y = +0.22500, .z = -0.30000 }, + { .x = -3.00000, .y = +0.22500, .z = +0.00000 }, + { .x = -2.70000, .y = +0.00000, .z = +0.00000 }, + { .x = -2.70000, .y = +0.00000, .z = -0.30000 }, + { .x = -3.00000, .y = -0.22500, .z = -0.30000 }, + { .x = -3.00000, .y = -0.22500, .z = +0.00000 }, + { .x = -2.50000, .y = -0.45000, .z = +0.00000 }, + { .x = -2.50000, .y = -0.45000, .z = -0.30000 }, + { .x = -2.65000, .y = -0.63750, .z = -0.30000 }, + { .x = -2.65000, .y = -0.63750, .z = +0.00000 }, + { .x = -2.00000, .y = -0.67500, .z = -0.30000 }, + { .x = -1.90000, .y = -0.97500, .z = -0.30000 }, + { .x = -1.90000, .y = -0.97500, .z = +0.00000 }, + { .x = +1.70000, .y = -0.15000, .z = +0.00000 }, + { .x = +1.70000, .y = -0.15000, .z = -0.66000 }, + { .x = +1.70000, .y = -0.97500, .z = -0.66000 }, + { .x = +1.70000, .y = -0.97500, .z = +0.00000 }, + { .x = +2.60000, .y = -0.15000, .z = +0.00000 }, + { .x = +2.60000, .y = -0.15000, .z = -0.66000 }, + { .x = +3.10000, .y = -0.75000, .z = -0.66000 }, + { .x = +3.10000, .y = -0.75000, .z = +0.00000 }, + { .x = +2.30000, .y = +0.52500, .z = +0.00000 }, + { .x = +2.30000, .y = +0.52500, .z = -0.25000 }, + { .x = +2.40000, .y = +0.45000, .z = -0.25000 }, + { .x = +2.40000, .y = +0.45000, .z = +0.00000 }, + { .x = +2.70000, .y = +0.82500, .z = +0.00000 }, + { .x = +2.70000, .y = +0.82500, .z = -0.25000 }, + { .x = +3.30000, .y = +0.82500, .z = -0.25000 }, + { .x = +3.30000, .y = +0.82500, .z = +0.00000 }, + { .x = +2.80000, .y = +0.90000, .z = +0.00000 }, + { .x = +2.80000, .y = +0.90000, .z = -0.25000 }, + { .x = +3.52500, .y = +0.91875, .z = -0.25000 }, + { .x = +3.52500, .y = +0.91875, .z = +0.00000 }, + { .x = +2.90000, .y = +0.90000, .z = +0.00000 }, + { .x = +2.90000, .y = +0.90000, .z = -0.15000 }, + { .x = +3.45000, .y = +0.93750, .z = -0.15000 }, + { .x = +3.45000, .y = +0.93750, .z = +0.00000 }, + { .x = +2.80000, .y = +0.82500, .z = +0.00000 }, + { .x = +2.80000, .y = +0.82500, .z = -0.15000 }, + { .x = +3.20000, .y = +0.82500, .z = -0.15000 }, + { .x = +3.20000, .y = +0.82500, .z = +0.00000 }, + { .x = +0.00000, .y = +1.57500, .z = +0.00000 }, + { .x = +0.80000, .y = +1.57500, .z = +0.00000 }, + { .x = +0.80000, .y = +1.57500, .z = -0.45000 }, + { .x = +0.45000, .y = +1.57500, .z = -0.80000 }, + { .x = +0.00000, .y = +1.57500, .z = -0.80000 }, + { .x = +0.00000, .y = +1.27500, .z = +0.00000 }, + { .x = +1.40000, .y = +0.82500, .z = +0.00000 }, + { .x = +1.40000, .y = +0.82500, .z = -0.78400 }, + { .x = +0.78400, .y = +0.82500, .z = -1.40000 }, + { .x = +0.00000, .y = +0.82500, .z = -1.40000 }, + { .x = +0.40000, .y = +0.97500, .z = +0.00000 }, + { .x = +0.40000, .y = +0.97500, .z = -0.22400 }, + { .x = +0.22400, .y = +0.97500, .z = -0.40000 }, + { .x = +0.00000, .y = +0.97500, .z = -0.40000 }, + { .x = +1.30000, .y = +0.97500, .z = +0.00000 }, + { .x = +1.30000, .y = +0.97500, .z = -0.72800 }, + { .x = +0.72800, .y = +0.97500, .z = -1.30000 }, + { .x = +0.00000, .y = +0.97500, .z = -1.30000 }, + { .x = +1.30000, .y = +0.82500, .z = +0.00000 }, + { .x = +1.30000, .y = +0.82500, .z = -0.72800 }, + { .x = +0.72800, .y = +0.82500, .z = -1.30000 }, + { .x = +0.00000, .y = +0.82500, .z = -1.30000 }, + { .x = +0.00000, .y = -1.57500, .z = +0.00000 }, + { .x = +1.42500, .y = -1.57500, .z = -0.79800 }, + { .x = +1.50000, .y = -1.50000, .z = +0.00000 }, + { .x = +1.42500, .y = -1.57500, .z = +0.00000 }, + { .x = +0.79800, .y = -1.57500, .z = -1.42500 }, + { .x = +0.00000, .y = -1.50000, .z = -1.50000 }, + { .x = +0.00000, .y = -1.57500, .z = -1.42500 }, + { .x = +1.50000, .y = -1.50000, .z = -0.84000 }, + { .x = +0.84000, .y = -1.50000, .z = -1.50000 }, +}; + +#define DMNSN_BEZIER_RESOLUTION 8 + +#define DMNSN_TEAPOT_NTRIANGLES \ + (32*2*DMNSN_BEZIER_RESOLUTION*DMNSN_BEZIER_RESOLUTION) + +dmnsn_vector dmnsn_teapot_triangles[DMNSN_TEAPOT_NTRIANGLES][6]; + +static inline double +dmnsn_Bernstein_value(size_t i, double x) +{ + switch (i) { + case 0: + return (1 - x)*(1 - x)*(1 - x); + case 1: + return 3.0*x*(1 - x)*(1 - x); + case 2: + return 3.0*x*x*(1 - x); + case 3: + return x*x*x; + default: + dmnsn_unreachable("Wrong Bernstein index."); + } +} + +static inline double +dmnsn_Bernstein_prime(size_t i, double x) +{ + switch (i) { + case 0: + return -3.0*(1 - x)*(1 - x); + case 1: + return 3.0*(1 - x)*(1 - x) - 6.0*x*(1 - x); + case 2: + return 6.0*x*(1 - x) - 3.0*x*x; + case 3: + return 3.0*x*x; + default: + dmnsn_unreachable("Wrong Bernstein index."); + } +} + +static inline dmnsn_vector +dmnsn_bezier_patch_point(const dmnsn_vector control_points[16], + double u, double v) +{ + dmnsn_vector r = dmnsn_zero; + for (size_t i = 0; i < 4; ++i) { + for (size_t j = 0; j < 4; ++j) { + r = dmnsn_vector_add( + r, + dmnsn_vector_mul( + dmnsn_Bernstein_value(i, u)*dmnsn_Bernstein_value(j, v), + control_points[4*j + i] + ) + ); + } + } + return r; +} + +static inline dmnsn_vector +dmnsn_bezier_patch_normal(const dmnsn_vector control_points[16], + double u, double v) +{ + dmnsn_vector nu = dmnsn_zero, nv = dmnsn_zero; + for (size_t i = 0; i < 4; ++i) { + for (size_t j = 0; j < 4; ++j) { + nu = dmnsn_vector_add( + nu, + dmnsn_vector_mul( + dmnsn_Bernstein_prime(i, u)*dmnsn_Bernstein_value(j, v), + control_points[4*j + i] + ) + ); + + nv = dmnsn_vector_add( + nv, + dmnsn_vector_mul( + dmnsn_Bernstein_value(i, u)*dmnsn_Bernstein_prime(j, v), + control_points[4*j + i] + ) + ); + } + } + + dmnsn_vector n = dmnsn_vector_cross(nu, nv); + if (dmnsn_vector_norm(n) < dmnsn_epsilon) { + printf("%g\t%g\t" DMNSN_VECTOR_FORMAT "\t" DMNSN_VECTOR_FORMAT "\n", + u, v, DMNSN_VECTOR_PRINTF(nu), DMNSN_VECTOR_PRINTF(nv)); + for (size_t i = 0; i < 16; ++i) { + printf("\t" DMNSN_VECTOR_FORMAT "\n", DMNSN_VECTOR_PRINTF(control_points[i])); + } + nu = dmnsn_zero; + for (size_t i = 0; i < 4; ++i) { + for (size_t j = 0; j < 4; ++j) { + nu = dmnsn_vector_add( + nu, + dmnsn_vector_mul( + dmnsn_Bernstein_prime(i, u)*dmnsn_Bernstein_value(j, v), + control_points[4*j + i] + ) + ); + if (dmnsn_vector_norm(dmnsn_vector_mul( + dmnsn_Bernstein_prime(i, u)*dmnsn_Bernstein_value(j, v), + control_points[4*j + i] + )) > dmnsn_epsilon) + printf(DMNSN_VECTOR_FORMAT "\n", DMNSN_VECTOR_PRINTF(dmnsn_vector_mul( + dmnsn_Bernstein_prime(i, u)*dmnsn_Bernstein_value(j, v), + control_points[4*j + i] + ))); + } + } + dmnsn_assert(false, "asdf."); + } + return n; +} + +static size_t +dmnsn_mirror_last_triangle(size_t i, bool mirror_x) +{ + return i; + for (size_t j = 0; j < 6; ++j) { + dmnsn_vector v = dmnsn_teapot_triangles[i - 1][j]; + if (mirror_x) { + v.x = -v.x; + } else { + v.z = -v.z; + } + + dmnsn_teapot_triangles[i][j] = v; + } + + return i + 1; +} + +static size_t +dmnsn_subdivide_patch(const size_t indicies[16], size_t i, + bool mirror_x) +{ + dmnsn_vector control_points[16]; + for (size_t j = 0; j < 16; ++j) { + control_points[j] = dmnsn_teapot_verticies[indicies[j]]; + } + + dmnsn_vector lastrowr[DMNSN_BEZIER_RESOLUTION + 1]; + dmnsn_vector lastrown[DMNSN_BEZIER_RESOLUTION + 1]; + for (size_t k = 0; k <= DMNSN_BEZIER_RESOLUTION; ++k) { + lastrowr[k] = dmnsn_bezier_patch_point( + control_points, 0.0, (double)k/DMNSN_BEZIER_RESOLUTION + ); + lastrown[k] = dmnsn_bezier_patch_normal( + control_points, 0.0, (double)k/DMNSN_BEZIER_RESOLUTION + ); + } + + dmnsn_vector ar, an, dr, dn; + for (size_t j = 1; j <= DMNSN_BEZIER_RESOLUTION; ++j) { + ar = lastrowr[0]; + an = lastrown[0]; + dr = dmnsn_bezier_patch_point( + control_points, (double)j/DMNSN_BEZIER_RESOLUTION, 0.0 + ); + dn = dmnsn_bezier_patch_normal( + control_points, (double)j/DMNSN_BEZIER_RESOLUTION, 0.0 + ); + lastrowr[0] = dr; + lastrown[0] = dn; + + for (size_t k = 1; k <= DMNSN_BEZIER_RESOLUTION; ++k) { + dmnsn_vector br = lastrowr[k]; + dmnsn_vector bn = lastrown[k]; + dmnsn_vector cr = dmnsn_bezier_patch_point( + control_points, + (double)j/DMNSN_BEZIER_RESOLUTION, (double)k/DMNSN_BEZIER_RESOLUTION + ); + dmnsn_vector cn = dmnsn_bezier_patch_normal( + control_points, + (double)j/DMNSN_BEZIER_RESOLUTION, (double)k/DMNSN_BEZIER_RESOLUTION + ); + + dmnsn_teapot_triangles[i][0] = ar; + dmnsn_teapot_triangles[i][1] = br; + dmnsn_teapot_triangles[i][2] = cr; + dmnsn_teapot_triangles[i][3] = an; + dmnsn_teapot_triangles[i][4] = bn; + dmnsn_teapot_triangles[i][5] = cn; + ++i; + i = dmnsn_mirror_last_triangle(i, false); + if (mirror_x) { + i = dmnsn_mirror_last_triangle(i, true); + i = dmnsn_mirror_last_triangle(i, false); + } + + dmnsn_teapot_triangles[i][0] = cr; + dmnsn_teapot_triangles[i][1] = dr; + dmnsn_teapot_triangles[i][2] = ar; + dmnsn_teapot_triangles[i][3] = cn; + dmnsn_teapot_triangles[i][4] = dn; + dmnsn_teapot_triangles[i][5] = an; + ++i; + i = dmnsn_mirror_last_triangle(i, false); + if (mirror_x) { + i = dmnsn_mirror_last_triangle(i, true); + i = dmnsn_mirror_last_triangle(i, false); + } + + ar = br; + an = bn; + dr = cr; + dn = cn; + lastrowr[k] = dr; + lastrown[k] = dn; + } + } + + return i; +} + +static const size_t dmnsn_teapot_rim[16] = { + 102, 103, 104, 105, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 +}; +static const size_t dmnsn_teapot_body1[16] = { + 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 +}; +static const size_t dmnsn_teapot_body2[16] = { + 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 +}; +static const size_t dmnsn_teapot_lid1[16] = { + 96, 96, 96, 96, 97, 98, 99, 100, 101, 101, 101, 101, 0, 1, 2, 3 +}; +static const size_t dmnsn_teapot_lid2[16] = { + 0, 1, 2, 3, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117 +}; +static const size_t dmnsn_teapot_bottom[16] = { + 118, 118, 118, 118, 124, 122, 119, 121, 123, 126, 125, 120, 40, 39, 38, 37 +}; +static const size_t dmnsn_teapot_handle1[16] = { + 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56 +}; +static const size_t dmnsn_teapot_handle2[16] = { + 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 28, 65, 66, 67 +}; +static const size_t dmnsn_teapot_spout1[16] = { + 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83 +}; +static const size_t dmnsn_teapot_spout2[16] = { + 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 +}; + +static void +dmnsn_teapot_calculate(void) +{ + size_t i = 0; + i = dmnsn_subdivide_patch(dmnsn_teapot_rim, i, true); + i = dmnsn_subdivide_patch(dmnsn_teapot_body1, i, true); + i = dmnsn_subdivide_patch(dmnsn_teapot_body2, i, true); + i = dmnsn_subdivide_patch(dmnsn_teapot_lid1, i, true); + i = dmnsn_subdivide_patch(dmnsn_teapot_lid2, i, true); + i = dmnsn_subdivide_patch(dmnsn_teapot_bottom, i, true); + i = dmnsn_subdivide_patch(dmnsn_teapot_handle1, i, false); + i = dmnsn_subdivide_patch(dmnsn_teapot_handle2, i, false); + i = dmnsn_subdivide_patch(dmnsn_teapot_spout1, i, false); + i = dmnsn_subdivide_patch(dmnsn_teapot_spout2, i, false); + //dmnsn_assert(i == DMNSN_TEAPOT_NTRIANGLES, "Wrong number of triangles."); +} + +pthread_mutex_t dmnsn_teapot_mutex = PTHREAD_MUTEX_INITIALIZER; + +dmnsn_object * +dmnsn_new_teapot(void) +{ + dmnsn_lock_mutex(&dmnsn_teapot_mutex); + static bool verticies_calculated = false; + if (!verticies_calculated) { + dmnsn_teapot_calculate(); + verticies_calculated = true; + } + dmnsn_unlock_mutex(&dmnsn_teapot_mutex); + + dmnsn_array *triangles = dmnsn_new_array(sizeof(dmnsn_object *)); + for (size_t i = 0; i < DMNSN_TEAPOT_NTRIANGLES; ++i) { + dmnsn_vector *vertnorms = dmnsn_teapot_triangles[i]; + dmnsn_object *triangle = dmnsn_new_triangle( + vertnorms[0], vertnorms[1], vertnorms[2], + vertnorms[3], vertnorms[4], vertnorms[5] + ); + triangle->texture = dmnsn_new_texture(); + dmnsn_color randcolor; + randcolor.R = drand48(); + randcolor.G = drand48(); + randcolor.B = drand48(); + triangle->texture->pigment = dmnsn_new_solid_pigment(DMNSN_TCOLOR(randcolor)); + dmnsn_array_push(triangles, &triangle); + } + dmnsn_object *teapot = dmnsn_new_csg_union(triangles); + dmnsn_delete_array(triangles); + return teapot; +} 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