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| 1 | // SHAPES :: https://github.com/prideout/par | ||
| 2 | // Simple C library for creation and manipulation of triangle meshes. | ||
| 3 | // | ||
| 4 | // The API is divided into three sections: | ||
| 5 | // | ||
| 6 | // - Generators. Create parametric surfaces, platonic solids, etc. | ||
| 7 | // - Queries. Ask a mesh for its axis-aligned bounding box, etc. | ||
| 8 | // - Transforms. Rotate a mesh, merge it with another, add normals, etc. | ||
| 9 | // | ||
| 10 | // In addition to the comment block above each function declaration, the API | ||
| 11 | // has informal documentation here: | ||
| 12 | // | ||
| 13 | // https://prideout.net/shapes | ||
| 14 | // | ||
| 15 | // For our purposes, a "mesh" is a list of points and a list of triangles; the | ||
| 16 | // former is a flattened list of three-tuples (32-bit floats) and the latter is | ||
| 17 | // also a flattened list of three-tuples (16-bit uints). Triangles are always | ||
| 18 | // oriented such that their front face winds counter-clockwise. | ||
| 19 | // | ||
| 20 | // Optionally, meshes can contain 3D normals (one per vertex), and 2D texture | ||
| 21 | // coordinates (one per vertex). That's it! If you need something fancier, | ||
| 22 | // look elsewhere. | ||
| 23 | // | ||
| 24 | // Distributed under the MIT License, see bottom of file. | ||
| 25 | |||
| 26 | #ifndef PAR_SHAPES_H | ||
| 27 | #define PAR_SHAPES_H | ||
| 28 | |||
| 29 | #ifdef __cplusplus | ||
| 30 | extern "C" { | ||
| 31 | #endif | ||
| 32 | |||
| 33 | #include <stdint.h> | ||
| 34 | // Ray (@raysan5): Commented to avoid conflict with raylib bool | ||
| 35 | /* | ||
| 36 | #if !defined(_MSC_VER) | ||
| 37 | # include <stdbool.h> | ||
| 38 | #else // MSVC | ||
| 39 | # if _MSC_VER >= 1800 | ||
| 40 | # include <stdbool.h> | ||
| 41 | # else // stdbool.h missing prior to MSVC++ 12.0 (VS2013) | ||
| 42 | # define bool int | ||
| 43 | # define true 1 | ||
| 44 | # define false 0 | ||
| 45 | # endif | ||
| 46 | #endif | ||
| 47 | */ | ||
| 48 | |||
| 49 | #ifndef PAR_SHAPES_T | ||
| 50 | #define PAR_SHAPES_T uint16_t | ||
| 51 | #endif | ||
| 52 | |||
| 53 | typedef struct par_shapes_mesh_s { | ||
| 54 | float* points; // Flat list of 3-tuples (X Y Z X Y Z...) | ||
| 55 | int npoints; // Number of points | ||
| 56 | PAR_SHAPES_T* triangles; // Flat list of 3-tuples (I J K I J K...) | ||
| 57 | int ntriangles; // Number of triangles | ||
| 58 | float* normals; // Optional list of 3-tuples (X Y Z X Y Z...) | ||
| 59 | float* tcoords; // Optional list of 2-tuples (U V U V U V...) | ||
| 60 | } par_shapes_mesh; | ||
| 61 | |||
| 62 | void par_shapes_free_mesh(par_shapes_mesh*); | ||
| 63 | |||
| 64 | // Generators ------------------------------------------------------------------ | ||
| 65 | |||
| 66 | // Instance a cylinder that sits on the Z=0 plane using the given tessellation | ||
| 67 | // levels across the UV domain. Think of "slices" like a number of pizza | ||
| 68 | // slices, and "stacks" like a number of stacked rings. Height and radius are | ||
| 69 | // both 1.0, but they can easily be changed with par_shapes_scale. | ||
| 70 | par_shapes_mesh* par_shapes_create_cylinder(int slices, int stacks); | ||
| 71 | |||
| 72 | // Cone is similar to cylinder but the radius diminishes to zero as Z increases. | ||
| 73 | // Again, height and radius are 1.0, but can be changed with par_shapes_scale. | ||
| 74 | par_shapes_mesh* par_shapes_create_cone(int slices, int stacks); | ||
| 75 | |||
| 76 | // Create a disk of radius 1.0 with texture coordinates and normals by squashing | ||
| 77 | // a cone flat on the Z=0 plane. | ||
| 78 | par_shapes_mesh* par_shapes_create_parametric_disk(int slices, int stacks); | ||
| 79 | |||
| 80 | // Create a donut that sits on the Z=0 plane with the specified inner radius. | ||
| 81 | // The outer radius can be controlled with par_shapes_scale. | ||
| 82 | par_shapes_mesh* par_shapes_create_torus(int slices, int stacks, float radius); | ||
| 83 | |||
| 84 | // Create a sphere with texture coordinates and small triangles near the poles. | ||
| 85 | par_shapes_mesh* par_shapes_create_parametric_sphere(int slices, int stacks); | ||
| 86 | |||
| 87 | // Approximate a sphere with a subdivided icosahedron, which produces a nice | ||
| 88 | // distribution of triangles, but no texture coordinates. Each subdivision | ||
| 89 | // level scales the number of triangles by four, so use a very low number. | ||
| 90 | par_shapes_mesh* par_shapes_create_subdivided_sphere(int nsubdivisions); | ||
| 91 | |||
| 92 | // More parametric surfaces. | ||
| 93 | par_shapes_mesh* par_shapes_create_klein_bottle(int slices, int stacks); | ||
| 94 | par_shapes_mesh* par_shapes_create_trefoil_knot(int slices, int stacks, | ||
| 95 | float radius); | ||
| 96 | par_shapes_mesh* par_shapes_create_hemisphere(int slices, int stacks); | ||
| 97 | par_shapes_mesh* par_shapes_create_plane(int slices, int stacks); | ||
| 98 | |||
| 99 | // Create a parametric surface from a callback function that consumes a 2D | ||
| 100 | // point in [0,1] and produces a 3D point. | ||
| 101 | typedef void (*par_shapes_fn)(float const*, float*, void*); | ||
| 102 | par_shapes_mesh* par_shapes_create_parametric(par_shapes_fn, int slices, | ||
| 103 | int stacks, void* userdata); | ||
| 104 | |||
| 105 | // Generate points for a 20-sided polyhedron that fits in the unit sphere. | ||
| 106 | // Texture coordinates and normals are not generated. | ||
| 107 | par_shapes_mesh* par_shapes_create_icosahedron(); | ||
| 108 | |||
| 109 | // Generate points for a 12-sided polyhedron that fits in the unit sphere. | ||
| 110 | // Again, texture coordinates and normals are not generated. | ||
| 111 | par_shapes_mesh* par_shapes_create_dodecahedron(); | ||
| 112 | |||
| 113 | // More platonic solids. | ||
| 114 | par_shapes_mesh* par_shapes_create_octahedron(); | ||
| 115 | par_shapes_mesh* par_shapes_create_tetrahedron(); | ||
| 116 | par_shapes_mesh* par_shapes_create_cube(); | ||
| 117 | |||
| 118 | // Generate an orientable disk shape in 3-space. Does not include normals or | ||
| 119 | // texture coordinates. | ||
| 120 | par_shapes_mesh* par_shapes_create_disk(float radius, int slices, | ||
| 121 | float const* center, float const* normal); | ||
| 122 | |||
| 123 | // Create an empty shape. Useful for building scenes with merge_and_free. | ||
| 124 | par_shapes_mesh* par_shapes_create_empty(); | ||
| 125 | |||
| 126 | // Generate a rock shape that sits on the Y=0 plane, and sinks into it a bit. | ||
| 127 | // This includes smooth normals but no texture coordinates. Each subdivision | ||
| 128 | // level scales the number of triangles by four, so use a very low number. | ||
| 129 | par_shapes_mesh* par_shapes_create_rock(int seed, int nsubdivisions); | ||
| 130 | |||
| 131 | // Create trees or vegetation by executing a recursive turtle graphics program. | ||
| 132 | // The program is a list of command-argument pairs. See the unit test for | ||
| 133 | // an example. Texture coordinates and normals are not generated. | ||
| 134 | par_shapes_mesh* par_shapes_create_lsystem(char const* program, int slices, | ||
| 135 | int maxdepth); | ||
| 136 | |||
| 137 | // Queries --------------------------------------------------------------------- | ||
| 138 | |||
| 139 | // Dump out a text file conforming to the venerable OBJ format. | ||
| 140 | void par_shapes_export(par_shapes_mesh const*, char const* objfile); | ||
| 141 | |||
| 142 | // Take a pointer to 6 floats and set them to min xyz, max xyz. | ||
| 143 | void par_shapes_compute_aabb(par_shapes_mesh const* mesh, float* aabb); | ||
| 144 | |||
| 145 | // Make a deep copy of a mesh. To make a brand new copy, pass null to "target". | ||
| 146 | // To avoid memory churn, pass an existing mesh to "target". | ||
| 147 | par_shapes_mesh* par_shapes_clone(par_shapes_mesh const* mesh, | ||
| 148 | par_shapes_mesh* target); | ||
| 149 | |||
| 150 | // Transformations ------------------------------------------------------------- | ||
| 151 | |||
| 152 | void par_shapes_merge(par_shapes_mesh* dst, par_shapes_mesh const* src); | ||
| 153 | void par_shapes_translate(par_shapes_mesh*, float x, float y, float z); | ||
| 154 | void par_shapes_rotate(par_shapes_mesh*, float radians, float const* axis); | ||
| 155 | void par_shapes_scale(par_shapes_mesh*, float x, float y, float z); | ||
| 156 | void par_shapes_merge_and_free(par_shapes_mesh* dst, par_shapes_mesh* src); | ||
| 157 | |||
| 158 | // Reverse the winding of a run of faces. Useful when drawing the inside of | ||
| 159 | // a Cornell Box. Pass 0 for nfaces to reverse every face in the mesh. | ||
| 160 | void par_shapes_invert(par_shapes_mesh*, int startface, int nfaces); | ||
| 161 | |||
| 162 | // Remove all triangles whose area is less than minarea. | ||
| 163 | void par_shapes_remove_degenerate(par_shapes_mesh*, float minarea); | ||
| 164 | |||
| 165 | // Dereference the entire index buffer and replace the point list. | ||
| 166 | // This creates an inefficient structure, but is useful for drawing facets. | ||
| 167 | // If create_indices is true, a trivial "0 1 2 3..." index buffer is generated. | ||
| 168 | void par_shapes_unweld(par_shapes_mesh* mesh, bool create_indices); | ||
| 169 | |||
| 170 | // Merge colocated verts, build a new index buffer, and return the | ||
| 171 | // optimized mesh. Epsilon is the maximum distance to consider when | ||
| 172 | // welding vertices. The mapping argument can be null, or a pointer to | ||
| 173 | // npoints integers, which gets filled with the mapping from old vertex | ||
| 174 | // indices to new indices. | ||
| 175 | par_shapes_mesh* par_shapes_weld(par_shapes_mesh const*, float epsilon, | ||
| 176 | PAR_SHAPES_T* mapping); | ||
| 177 | |||
| 178 | // Compute smooth normals by averaging adjacent facet normals. | ||
| 179 | void par_shapes_compute_normals(par_shapes_mesh* m); | ||
| 180 | |||
| 181 | // Global Config --------------------------------------------------------------- | ||
| 182 | |||
| 183 | void par_shapes_set_epsilon_welded_normals(float epsilon); | ||
| 184 | void par_shapes_set_epsilon_degenerate_sphere(float epsilon); | ||
| 185 | |||
| 186 | // Advanced -------------------------------------------------------------------- | ||
| 187 | |||
| 188 | void par_shapes__compute_welded_normals(par_shapes_mesh* m); | ||
| 189 | void par_shapes__connect(par_shapes_mesh* scene, par_shapes_mesh* cylinder, | ||
| 190 | int slices); | ||
| 191 | |||
| 192 | #ifndef PAR_PI | ||
| 193 | #define PAR_PI (3.14159265359) | ||
| 194 | #define PAR_MIN(a, b) (a > b ? b : a) | ||
| 195 | #define PAR_MAX(a, b) (a > b ? a : b) | ||
| 196 | #define PAR_CLAMP(v, lo, hi) PAR_MAX(lo, PAR_MIN(hi, v)) | ||
| 197 | #define PAR_SWAP(T, A, B) { T tmp = B; B = A; A = tmp; } | ||
| 198 | #define PAR_SQR(a) ((a) * (a)) | ||
| 199 | #endif | ||
| 200 | |||
| 201 | #ifndef PAR_MALLOC | ||
| 202 | #define PAR_MALLOC(T, N) ((T*) malloc(N * sizeof(T))) | ||
| 203 | #define PAR_CALLOC(T, N) ((T*) calloc(N * sizeof(T), 1)) | ||
| 204 | #define PAR_REALLOC(T, BUF, N) ((T*) realloc(BUF, sizeof(T) * (N))) | ||
| 205 | #define PAR_FREE(BUF) free(BUF) | ||
| 206 | #endif | ||
| 207 | |||
| 208 | #ifdef __cplusplus | ||
| 209 | } | ||
| 210 | #endif | ||
| 211 | |||
| 212 | // ----------------------------------------------------------------------------- | ||
| 213 | // END PUBLIC API | ||
| 214 | // ----------------------------------------------------------------------------- | ||
| 215 | |||
| 216 | #ifdef PAR_SHAPES_IMPLEMENTATION | ||
| 217 | #include <stdlib.h> | ||
| 218 | #include <stdio.h> | ||
| 219 | #include <assert.h> | ||
| 220 | #include <float.h> | ||
| 221 | #include <string.h> | ||
| 222 | #include <math.h> | ||
| 223 | #include <errno.h> | ||
| 224 | |||
| 225 | static float par_shapes__epsilon_welded_normals = 0.001; | ||
| 226 | static float par_shapes__epsilon_degenerate_sphere = 0.0001; | ||
| 227 | |||
| 228 | static void par_shapes__sphere(float const* uv, float* xyz, void*); | ||
| 229 | static void par_shapes__hemisphere(float const* uv, float* xyz, void*); | ||
| 230 | static void par_shapes__plane(float const* uv, float* xyz, void*); | ||
| 231 | static void par_shapes__klein(float const* uv, float* xyz, void*); | ||
| 232 | static void par_shapes__cylinder(float const* uv, float* xyz, void*); | ||
| 233 | static void par_shapes__cone(float const* uv, float* xyz, void*); | ||
| 234 | static void par_shapes__torus(float const* uv, float* xyz, void*); | ||
| 235 | static void par_shapes__trefoil(float const* uv, float* xyz, void*); | ||
| 236 | |||
| 237 | struct osn_context; | ||
| 238 | static int par__simplex_noise(int64_t seed, struct osn_context** ctx); | ||
| 239 | static void par__simplex_noise_free(struct osn_context* ctx); | ||
| 240 | static double par__simplex_noise2(struct osn_context* ctx, double x, double y); | ||
| 241 | |||
| 242 | static void par_shapes__copy3(float* result, float const* a) | ||
| 243 | { | ||
| 244 | result[0] = a[0]; | ||
| 245 | result[1] = a[1]; | ||
| 246 | result[2] = a[2]; | ||
| 247 | } | ||
| 248 | |||
| 249 | static float par_shapes__dot3(float const* a, float const* b) | ||
| 250 | { | ||
| 251 | return b[0] * a[0] + b[1] * a[1] + b[2] * a[2]; | ||
| 252 | } | ||
| 253 | |||
| 254 | static void par_shapes__transform3(float* p, float const* x, float const* y, | ||
| 255 | float const* z) | ||
| 256 | { | ||
| 257 | float px = par_shapes__dot3(p, x); | ||
| 258 | float py = par_shapes__dot3(p, y); | ||
| 259 | float pz = par_shapes__dot3(p, z); | ||
| 260 | p[0] = px; | ||
| 261 | p[1] = py; | ||
| 262 | p[2] = pz; | ||
| 263 | } | ||
| 264 | |||
| 265 | static void par_shapes__cross3(float* result, float const* a, float const* b) | ||
| 266 | { | ||
| 267 | float x = (a[1] * b[2]) - (a[2] * b[1]); | ||
| 268 | float y = (a[2] * b[0]) - (a[0] * b[2]); | ||
| 269 | float z = (a[0] * b[1]) - (a[1] * b[0]); | ||
| 270 | result[0] = x; | ||
| 271 | result[1] = y; | ||
| 272 | result[2] = z; | ||
| 273 | } | ||
| 274 | |||
| 275 | static void par_shapes__mix3(float* d, float const* a, float const* b, float t) | ||
| 276 | { | ||
| 277 | float x = b[0] * t + a[0] * (1 - t); | ||
| 278 | float y = b[1] * t + a[1] * (1 - t); | ||
| 279 | float z = b[2] * t + a[2] * (1 - t); | ||
| 280 | d[0] = x; | ||
| 281 | d[1] = y; | ||
| 282 | d[2] = z; | ||
| 283 | } | ||
| 284 | |||
| 285 | static void par_shapes__scale3(float* result, float a) | ||
| 286 | { | ||
| 287 | result[0] *= a; | ||
| 288 | result[1] *= a; | ||
| 289 | result[2] *= a; | ||
| 290 | } | ||
| 291 | |||
| 292 | static void par_shapes__normalize3(float* v) | ||
| 293 | { | ||
| 294 | float lsqr = sqrt(v[0]*v[0] + v[1]*v[1] + v[2]*v[2]); | ||
| 295 | if (lsqr > 0) { | ||
| 296 | par_shapes__scale3(v, 1.0f / lsqr); | ||
| 297 | } | ||
| 298 | } | ||
| 299 | |||
| 300 | static void par_shapes__subtract3(float* result, float const* a) | ||
| 301 | { | ||
| 302 | result[0] -= a[0]; | ||
| 303 | result[1] -= a[1]; | ||
| 304 | result[2] -= a[2]; | ||
| 305 | } | ||
| 306 | |||
| 307 | static void par_shapes__add3(float* result, float const* a) | ||
| 308 | { | ||
| 309 | result[0] += a[0]; | ||
| 310 | result[1] += a[1]; | ||
| 311 | result[2] += a[2]; | ||
| 312 | } | ||
| 313 | |||
| 314 | static float par_shapes__sqrdist3(float const* a, float const* b) | ||
| 315 | { | ||
| 316 | float dx = a[0] - b[0]; | ||
| 317 | float dy = a[1] - b[1]; | ||
| 318 | float dz = a[2] - b[2]; | ||
| 319 | return dx * dx + dy * dy + dz * dz; | ||
| 320 | } | ||
| 321 | |||
| 322 | void par_shapes__compute_welded_normals(par_shapes_mesh* m) | ||
| 323 | { | ||
| 324 | const float epsilon = par_shapes__epsilon_welded_normals; | ||
| 325 | m->normals = PAR_MALLOC(float, m->npoints * 3); | ||
| 326 | PAR_SHAPES_T* weldmap = PAR_MALLOC(PAR_SHAPES_T, m->npoints); | ||
| 327 | par_shapes_mesh* welded = par_shapes_weld(m, epsilon, weldmap); | ||
| 328 | par_shapes_compute_normals(welded); | ||
| 329 | float* pdst = m->normals; | ||
| 330 | for (int i = 0; i < m->npoints; i++, pdst += 3) { | ||
| 331 | int d = weldmap[i]; | ||
| 332 | float const* pnormal = welded->normals + d * 3; | ||
| 333 | pdst[0] = pnormal[0]; | ||
| 334 | pdst[1] = pnormal[1]; | ||
| 335 | pdst[2] = pnormal[2]; | ||
| 336 | } | ||
| 337 | PAR_FREE(weldmap); | ||
| 338 | par_shapes_free_mesh(welded); | ||
| 339 | } | ||
| 340 | |||
| 341 | par_shapes_mesh* par_shapes_create_cylinder(int slices, int stacks) | ||
| 342 | { | ||
| 343 | if (slices < 3 || stacks < 1) { | ||
| 344 | return 0; | ||
| 345 | } | ||
| 346 | return par_shapes_create_parametric(par_shapes__cylinder, slices, | ||
| 347 | stacks, 0); | ||
| 348 | } | ||
| 349 | |||
| 350 | par_shapes_mesh* par_shapes_create_cone(int slices, int stacks) | ||
| 351 | { | ||
| 352 | if (slices < 3 || stacks < 1) { | ||
| 353 | return 0; | ||
| 354 | } | ||
| 355 | return par_shapes_create_parametric(par_shapes__cone, slices, | ||
| 356 | stacks, 0); | ||
| 357 | } | ||
| 358 | |||
| 359 | par_shapes_mesh* par_shapes_create_parametric_disk(int slices, int stacks) | ||
| 360 | { | ||
| 361 | par_shapes_mesh* m = par_shapes_create_cone(slices, stacks); | ||
| 362 | if (m) { | ||
| 363 | par_shapes_scale(m, 1.0f, 1.0f, 0.0f); | ||
| 364 | } | ||
| 365 | return m; | ||
| 366 | } | ||
| 367 | |||
| 368 | par_shapes_mesh* par_shapes_create_parametric_sphere(int slices, int stacks) | ||
| 369 | { | ||
| 370 | if (slices < 3 || stacks < 3) { | ||
| 371 | return 0; | ||
| 372 | } | ||
| 373 | par_shapes_mesh* m = par_shapes_create_parametric(par_shapes__sphere, | ||
| 374 | slices, stacks, 0); | ||
| 375 | par_shapes_remove_degenerate(m, par_shapes__epsilon_degenerate_sphere); | ||
| 376 | return m; | ||
| 377 | } | ||
| 378 | |||
| 379 | par_shapes_mesh* par_shapes_create_hemisphere(int slices, int stacks) | ||
| 380 | { | ||
| 381 | if (slices < 3 || stacks < 3) { | ||
| 382 | return 0; | ||
| 383 | } | ||
| 384 | par_shapes_mesh* m = par_shapes_create_parametric(par_shapes__hemisphere, | ||
| 385 | slices, stacks, 0); | ||
| 386 | par_shapes_remove_degenerate(m, par_shapes__epsilon_degenerate_sphere); | ||
| 387 | return m; | ||
| 388 | } | ||
| 389 | |||
| 390 | par_shapes_mesh* par_shapes_create_torus(int slices, int stacks, float radius) | ||
| 391 | { | ||
| 392 | if (slices < 3 || stacks < 3) { | ||
| 393 | return 0; | ||
| 394 | } | ||
| 395 | assert(radius <= 1.0 && "Use smaller radius to avoid self-intersection."); | ||
| 396 | assert(radius >= 0.1 && "Use larger radius to avoid self-intersection."); | ||
| 397 | void* userdata = (void*) &radius; | ||
| 398 | return par_shapes_create_parametric(par_shapes__torus, slices, | ||
| 399 | stacks, userdata); | ||
| 400 | } | ||
| 401 | |||
| 402 | par_shapes_mesh* par_shapes_create_klein_bottle(int slices, int stacks) | ||
| 403 | { | ||
| 404 | if (slices < 3 || stacks < 3) { | ||
| 405 | return 0; | ||
| 406 | } | ||
| 407 | par_shapes_mesh* mesh = par_shapes_create_parametric( | ||
| 408 | par_shapes__klein, slices, stacks, 0); | ||
| 409 | int face = 0; | ||
| 410 | for (int stack = 0; stack < stacks; stack++) { | ||
| 411 | for (int slice = 0; slice < slices; slice++, face += 2) { | ||
| 412 | if (stack < 27 * stacks / 32) { | ||
| 413 | par_shapes_invert(mesh, face, 2); | ||
| 414 | } | ||
| 415 | } | ||
| 416 | } | ||
| 417 | par_shapes__compute_welded_normals(mesh); | ||
| 418 | return mesh; | ||
| 419 | } | ||
| 420 | |||
| 421 | par_shapes_mesh* par_shapes_create_trefoil_knot(int slices, int stacks, | ||
| 422 | float radius) | ||
| 423 | { | ||
| 424 | if (slices < 3 || stacks < 3) { | ||
| 425 | return 0; | ||
| 426 | } | ||
| 427 | assert(radius <= 3.0 && "Use smaller radius to avoid self-intersection."); | ||
| 428 | assert(radius >= 0.5 && "Use larger radius to avoid self-intersection."); | ||
| 429 | void* userdata = (void*) &radius; | ||
| 430 | return par_shapes_create_parametric(par_shapes__trefoil, slices, | ||
| 431 | stacks, userdata); | ||
| 432 | } | ||
| 433 | |||
| 434 | par_shapes_mesh* par_shapes_create_plane(int slices, int stacks) | ||
| 435 | { | ||
| 436 | if (slices < 1 || stacks < 1) { | ||
| 437 | return 0; | ||
| 438 | } | ||
| 439 | return par_shapes_create_parametric(par_shapes__plane, slices, | ||
| 440 | stacks, 0); | ||
| 441 | } | ||
| 442 | |||
| 443 | par_shapes_mesh* par_shapes_create_parametric(par_shapes_fn fn, | ||
| 444 | int slices, int stacks, void* userdata) | ||
| 445 | { | ||
| 446 | par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1); | ||
| 447 | |||
| 448 | // Generate verts. | ||
| 449 | mesh->npoints = (slices + 1) * (stacks + 1); | ||
| 450 | mesh->points = PAR_CALLOC(float, 3 * mesh->npoints); | ||
| 451 | float uv[2]; | ||
| 452 | float xyz[3]; | ||
| 453 | float* points = mesh->points; | ||
| 454 | for (int stack = 0; stack < stacks + 1; stack++) { | ||
| 455 | uv[0] = (float) stack / stacks; | ||
| 456 | for (int slice = 0; slice < slices + 1; slice++) { | ||
| 457 | uv[1] = (float) slice / slices; | ||
| 458 | fn(uv, xyz, userdata); | ||
| 459 | *points++ = xyz[0]; | ||
| 460 | *points++ = xyz[1]; | ||
| 461 | *points++ = xyz[2]; | ||
| 462 | } | ||
| 463 | } | ||
| 464 | |||
| 465 | // Generate texture coordinates. | ||
| 466 | mesh->tcoords = PAR_CALLOC(float, 2 * mesh->npoints); | ||
| 467 | float* uvs = mesh->tcoords; | ||
| 468 | for (int stack = 0; stack < stacks + 1; stack++) { | ||
| 469 | uv[0] = (float) stack / stacks; | ||
| 470 | for (int slice = 0; slice < slices + 1; slice++) { | ||
| 471 | uv[1] = (float) slice / slices; | ||
| 472 | *uvs++ = uv[0]; | ||
| 473 | *uvs++ = uv[1]; | ||
| 474 | } | ||
| 475 | } | ||
| 476 | |||
| 477 | // Generate faces. | ||
| 478 | mesh->ntriangles = 2 * slices * stacks; | ||
| 479 | mesh->triangles = PAR_CALLOC(PAR_SHAPES_T, 3 * mesh->ntriangles); | ||
| 480 | int v = 0; | ||
| 481 | PAR_SHAPES_T* face = mesh->triangles; | ||
| 482 | for (int stack = 0; stack < stacks; stack++) { | ||
| 483 | for (int slice = 0; slice < slices; slice++) { | ||
| 484 | int next = slice + 1; | ||
| 485 | *face++ = v + slice + slices + 1; | ||
| 486 | *face++ = v + next; | ||
| 487 | *face++ = v + slice; | ||
| 488 | *face++ = v + slice + slices + 1; | ||
| 489 | *face++ = v + next + slices + 1; | ||
| 490 | *face++ = v + next; | ||
| 491 | } | ||
| 492 | v += slices + 1; | ||
| 493 | } | ||
| 494 | |||
| 495 | par_shapes__compute_welded_normals(mesh); | ||
| 496 | return mesh; | ||
| 497 | } | ||
| 498 | |||
| 499 | void par_shapes_free_mesh(par_shapes_mesh* mesh) | ||
| 500 | { | ||
| 501 | PAR_FREE(mesh->points); | ||
| 502 | PAR_FREE(mesh->triangles); | ||
| 503 | PAR_FREE(mesh->normals); | ||
| 504 | PAR_FREE(mesh->tcoords); | ||
| 505 | PAR_FREE(mesh); | ||
| 506 | } | ||
| 507 | |||
| 508 | void par_shapes_export(par_shapes_mesh const* mesh, char const* filename) | ||
| 509 | { | ||
| 510 | FILE* objfile = fopen(filename, "wt"); | ||
| 511 | float const* points = mesh->points; | ||
| 512 | float const* tcoords = mesh->tcoords; | ||
| 513 | float const* norms = mesh->normals; | ||
| 514 | PAR_SHAPES_T const* indices = mesh->triangles; | ||
| 515 | if (tcoords && norms) { | ||
| 516 | for (int nvert = 0; nvert < mesh->npoints; nvert++) { | ||
| 517 | fprintf(objfile, "v %f %f %f\n", points[0], points[1], points[2]); | ||
| 518 | fprintf(objfile, "vt %f %f\n", tcoords[0], tcoords[1]); | ||
| 519 | fprintf(objfile, "vn %f %f %f\n", norms[0], norms[1], norms[2]); | ||
| 520 | points += 3; | ||
| 521 | norms += 3; | ||
| 522 | tcoords += 2; | ||
| 523 | } | ||
| 524 | for (int nface = 0; nface < mesh->ntriangles; nface++) { | ||
| 525 | int a = 1 + *indices++; | ||
| 526 | int b = 1 + *indices++; | ||
| 527 | int c = 1 + *indices++; | ||
| 528 | fprintf(objfile, "f %d/%d/%d %d/%d/%d %d/%d/%d\n", | ||
| 529 | a, a, a, b, b, b, c, c, c); | ||
| 530 | } | ||
| 531 | } else if (norms) { | ||
| 532 | for (int nvert = 0; nvert < mesh->npoints; nvert++) { | ||
| 533 | fprintf(objfile, "v %f %f %f\n", points[0], points[1], points[2]); | ||
| 534 | fprintf(objfile, "vn %f %f %f\n", norms[0], norms[1], norms[2]); | ||
| 535 | points += 3; | ||
| 536 | norms += 3; | ||
| 537 | } | ||
| 538 | for (int nface = 0; nface < mesh->ntriangles; nface++) { | ||
| 539 | int a = 1 + *indices++; | ||
| 540 | int b = 1 + *indices++; | ||
| 541 | int c = 1 + *indices++; | ||
| 542 | fprintf(objfile, "f %d//%d %d//%d %d//%d\n", a, a, b, b, c, c); | ||
| 543 | } | ||
| 544 | } else if (tcoords) { | ||
| 545 | for (int nvert = 0; nvert < mesh->npoints; nvert++) { | ||
| 546 | fprintf(objfile, "v %f %f %f\n", points[0], points[1], points[2]); | ||
| 547 | fprintf(objfile, "vt %f %f\n", tcoords[0], tcoords[1]); | ||
| 548 | points += 3; | ||
| 549 | tcoords += 2; | ||
| 550 | } | ||
| 551 | for (int nface = 0; nface < mesh->ntriangles; nface++) { | ||
| 552 | int a = 1 + *indices++; | ||
| 553 | int b = 1 + *indices++; | ||
| 554 | int c = 1 + *indices++; | ||
| 555 | fprintf(objfile, "f %d/%d %d/%d %d/%d\n", a, a, b, b, c, c); | ||
| 556 | } | ||
| 557 | } else { | ||
| 558 | for (int nvert = 0; nvert < mesh->npoints; nvert++) { | ||
| 559 | fprintf(objfile, "v %f %f %f\n", points[0], points[1], points[2]); | ||
| 560 | points += 3; | ||
| 561 | } | ||
| 562 | for (int nface = 0; nface < mesh->ntriangles; nface++) { | ||
| 563 | int a = 1 + *indices++; | ||
| 564 | int b = 1 + *indices++; | ||
| 565 | int c = 1 + *indices++; | ||
| 566 | fprintf(objfile, "f %d %d %d\n", a, b, c); | ||
| 567 | } | ||
| 568 | } | ||
| 569 | fclose(objfile); | ||
| 570 | } | ||
| 571 | |||
| 572 | static void par_shapes__sphere(float const* uv, float* xyz, void* userdata) | ||
| 573 | { | ||
| 574 | float phi = uv[0] * PAR_PI; | ||
| 575 | float theta = uv[1] * 2 * PAR_PI; | ||
| 576 | xyz[0] = cosf(theta) * sinf(phi); | ||
| 577 | xyz[1] = sinf(theta) * sinf(phi); | ||
| 578 | xyz[2] = cosf(phi); | ||
| 579 | } | ||
| 580 | |||
| 581 | static void par_shapes__hemisphere(float const* uv, float* xyz, void* userdata) | ||
| 582 | { | ||
| 583 | float phi = uv[0] * PAR_PI; | ||
| 584 | float theta = uv[1] * PAR_PI; | ||
| 585 | xyz[0] = cosf(theta) * sinf(phi); | ||
| 586 | xyz[1] = sinf(theta) * sinf(phi); | ||
| 587 | xyz[2] = cosf(phi); | ||
| 588 | } | ||
| 589 | |||
| 590 | static void par_shapes__plane(float const* uv, float* xyz, void* userdata) | ||
| 591 | { | ||
| 592 | xyz[0] = uv[0]; | ||
| 593 | xyz[1] = uv[1]; | ||
| 594 | xyz[2] = 0; | ||
| 595 | } | ||
| 596 | |||
| 597 | static void par_shapes__klein(float const* uv, float* xyz, void* userdata) | ||
| 598 | { | ||
| 599 | float u = uv[0] * PAR_PI; | ||
| 600 | float v = uv[1] * 2 * PAR_PI; | ||
| 601 | u = u * 2; | ||
| 602 | if (u < PAR_PI) { | ||
| 603 | xyz[0] = 3 * cosf(u) * (1 + sinf(u)) + (2 * (1 - cosf(u) / 2)) * | ||
| 604 | cosf(u) * cosf(v); | ||
| 605 | xyz[2] = -8 * sinf(u) - 2 * (1 - cosf(u) / 2) * sinf(u) * cosf(v); | ||
| 606 | } else { | ||
| 607 | xyz[0] = 3 * cosf(u) * (1 + sinf(u)) + (2 * (1 - cosf(u) / 2)) * | ||
| 608 | cosf(v + PAR_PI); | ||
| 609 | xyz[2] = -8 * sinf(u); | ||
| 610 | } | ||
| 611 | xyz[1] = -2 * (1 - cosf(u) / 2) * sinf(v); | ||
| 612 | } | ||
| 613 | |||
| 614 | static void par_shapes__cylinder(float const* uv, float* xyz, void* userdata) | ||
| 615 | { | ||
| 616 | float theta = uv[1] * 2 * PAR_PI; | ||
| 617 | xyz[0] = sinf(theta); | ||
| 618 | xyz[1] = cosf(theta); | ||
| 619 | xyz[2] = uv[0]; | ||
| 620 | } | ||
| 621 | |||
| 622 | static void par_shapes__cone(float const* uv, float* xyz, void* userdata) | ||
| 623 | { | ||
| 624 | float r = 1.0f - uv[0]; | ||
| 625 | float theta = uv[1] * 2 * PAR_PI; | ||
| 626 | xyz[0] = r * sinf(theta); | ||
| 627 | xyz[1] = r * cosf(theta); | ||
| 628 | xyz[2] = uv[0]; | ||
| 629 | } | ||
| 630 | |||
| 631 | static void par_shapes__torus(float const* uv, float* xyz, void* userdata) | ||
| 632 | { | ||
| 633 | float major = 1; | ||
| 634 | float minor = *((float*) userdata); | ||
| 635 | float theta = uv[0] * 2 * PAR_PI; | ||
| 636 | float phi = uv[1] * 2 * PAR_PI; | ||
| 637 | float beta = major + minor * cosf(phi); | ||
| 638 | xyz[0] = cosf(theta) * beta; | ||
| 639 | xyz[1] = sinf(theta) * beta; | ||
| 640 | xyz[2] = sinf(phi) * minor; | ||
| 641 | } | ||
| 642 | |||
| 643 | static void par_shapes__trefoil(float const* uv, float* xyz, void* userdata) | ||
| 644 | { | ||
| 645 | float minor = *((float*) userdata); | ||
| 646 | const float a = 0.5f; | ||
| 647 | const float b = 0.3f; | ||
| 648 | const float c = 0.5f; | ||
| 649 | const float d = minor * 0.1f; | ||
| 650 | const float u = (1 - uv[0]) * 4 * PAR_PI; | ||
| 651 | const float v = uv[1] * 2 * PAR_PI; | ||
| 652 | const float r = a + b * cos(1.5f * u); | ||
| 653 | const float x = r * cos(u); | ||
| 654 | const float y = r * sin(u); | ||
| 655 | const float z = c * sin(1.5f * u); | ||
| 656 | float q[3]; | ||
| 657 | q[0] = | ||
| 658 | -1.5f * b * sin(1.5f * u) * cos(u) - (a + b * cos(1.5f * u)) * sin(u); | ||
| 659 | q[1] = | ||
| 660 | -1.5f * b * sin(1.5f * u) * sin(u) + (a + b * cos(1.5f * u)) * cos(u); | ||
| 661 | q[2] = 1.5f * c * cos(1.5f * u); | ||
| 662 | par_shapes__normalize3(q); | ||
| 663 | float qvn[3] = {q[1], -q[0], 0}; | ||
| 664 | par_shapes__normalize3(qvn); | ||
| 665 | float ww[3]; | ||
| 666 | par_shapes__cross3(ww, q, qvn); | ||
| 667 | xyz[0] = x + d * (qvn[0] * cos(v) + ww[0] * sin(v)); | ||
| 668 | xyz[1] = y + d * (qvn[1] * cos(v) + ww[1] * sin(v)); | ||
| 669 | xyz[2] = z + d * ww[2] * sin(v); | ||
| 670 | } | ||
| 671 | |||
| 672 | void par_shapes_set_epsilon_welded_normals(float epsilon) { | ||
| 673 | par_shapes__epsilon_welded_normals = epsilon; | ||
| 674 | } | ||
| 675 | |||
| 676 | void par_shapes_set_epsilon_degenerate_sphere(float epsilon) { | ||
| 677 | par_shapes__epsilon_degenerate_sphere = epsilon; | ||
| 678 | } | ||
| 679 | |||
| 680 | void par_shapes_merge(par_shapes_mesh* dst, par_shapes_mesh const* src) | ||
| 681 | { | ||
| 682 | PAR_SHAPES_T offset = dst->npoints; | ||
| 683 | int npoints = dst->npoints + src->npoints; | ||
| 684 | int vecsize = sizeof(float) * 3; | ||
| 685 | dst->points = PAR_REALLOC(float, dst->points, 3 * npoints); | ||
| 686 | memcpy(dst->points + 3 * dst->npoints, src->points, vecsize * src->npoints); | ||
| 687 | dst->npoints = npoints; | ||
| 688 | if (src->normals || dst->normals) { | ||
| 689 | dst->normals = PAR_REALLOC(float, dst->normals, 3 * npoints); | ||
| 690 | if (src->normals) { | ||
| 691 | memcpy(dst->normals + 3 * offset, src->normals, | ||
| 692 | vecsize * src->npoints); | ||
| 693 | } | ||
| 694 | } | ||
| 695 | if (src->tcoords || dst->tcoords) { | ||
| 696 | int uvsize = sizeof(float) * 2; | ||
| 697 | dst->tcoords = PAR_REALLOC(float, dst->tcoords, 2 * npoints); | ||
| 698 | if (src->tcoords) { | ||
| 699 | memcpy(dst->tcoords + 2 * offset, src->tcoords, | ||
| 700 | uvsize * src->npoints); | ||
| 701 | } | ||
| 702 | } | ||
| 703 | int ntriangles = dst->ntriangles + src->ntriangles; | ||
| 704 | dst->triangles = PAR_REALLOC(PAR_SHAPES_T, dst->triangles, 3 * ntriangles); | ||
| 705 | PAR_SHAPES_T* ptriangles = dst->triangles + 3 * dst->ntriangles; | ||
| 706 | PAR_SHAPES_T const* striangles = src->triangles; | ||
| 707 | for (int i = 0; i < src->ntriangles; i++) { | ||
| 708 | *ptriangles++ = offset + *striangles++; | ||
| 709 | *ptriangles++ = offset + *striangles++; | ||
| 710 | *ptriangles++ = offset + *striangles++; | ||
| 711 | } | ||
| 712 | dst->ntriangles = ntriangles; | ||
| 713 | } | ||
| 714 | |||
| 715 | par_shapes_mesh* par_shapes_create_disk(float radius, int slices, | ||
| 716 | float const* center, float const* normal) | ||
| 717 | { | ||
| 718 | par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1); | ||
| 719 | mesh->npoints = slices + 1; | ||
| 720 | mesh->points = PAR_MALLOC(float, 3 * mesh->npoints); | ||
| 721 | float* points = mesh->points; | ||
| 722 | *points++ = 0; | ||
| 723 | *points++ = 0; | ||
| 724 | *points++ = 0; | ||
| 725 | for (int i = 0; i < slices; i++) { | ||
| 726 | float theta = i * PAR_PI * 2 / slices; | ||
| 727 | *points++ = radius * cos(theta); | ||
| 728 | *points++ = radius * sin(theta); | ||
| 729 | *points++ = 0; | ||
| 730 | } | ||
| 731 | float nnormal[3] = {normal[0], normal[1], normal[2]}; | ||
| 732 | par_shapes__normalize3(nnormal); | ||
| 733 | mesh->normals = PAR_MALLOC(float, 3 * mesh->npoints); | ||
| 734 | float* norms = mesh->normals; | ||
| 735 | for (int i = 0; i < mesh->npoints; i++) { | ||
| 736 | *norms++ = nnormal[0]; | ||
| 737 | *norms++ = nnormal[1]; | ||
| 738 | *norms++ = nnormal[2]; | ||
| 739 | } | ||
| 740 | mesh->ntriangles = slices; | ||
| 741 | mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, 3 * mesh->ntriangles); | ||
| 742 | PAR_SHAPES_T* triangles = mesh->triangles; | ||
| 743 | for (int i = 0; i < slices; i++) { | ||
| 744 | *triangles++ = 0; | ||
| 745 | *triangles++ = 1 + i; | ||
| 746 | *triangles++ = 1 + (i + 1) % slices; | ||
| 747 | } | ||
| 748 | float k[3] = {0, 0, -1}; | ||
| 749 | float axis[3]; | ||
| 750 | par_shapes__cross3(axis, nnormal, k); | ||
| 751 | par_shapes__normalize3(axis); | ||
| 752 | par_shapes_rotate(mesh, acos(nnormal[2]), axis); | ||
| 753 | par_shapes_translate(mesh, center[0], center[1], center[2]); | ||
| 754 | return mesh; | ||
| 755 | } | ||
| 756 | |||
| 757 | par_shapes_mesh* par_shapes_create_empty() | ||
| 758 | { | ||
| 759 | return PAR_CALLOC(par_shapes_mesh, 1); | ||
| 760 | } | ||
| 761 | |||
| 762 | void par_shapes_translate(par_shapes_mesh* m, float x, float y, float z) | ||
| 763 | { | ||
| 764 | float* points = m->points; | ||
| 765 | for (int i = 0; i < m->npoints; i++) { | ||
| 766 | *points++ += x; | ||
| 767 | *points++ += y; | ||
| 768 | *points++ += z; | ||
| 769 | } | ||
| 770 | } | ||
| 771 | |||
| 772 | void par_shapes_rotate(par_shapes_mesh* mesh, float radians, float const* axis) | ||
| 773 | { | ||
| 774 | float s = sinf(radians); | ||
| 775 | float c = cosf(radians); | ||
| 776 | float x = axis[0]; | ||
| 777 | float y = axis[1]; | ||
| 778 | float z = axis[2]; | ||
| 779 | float xy = x * y; | ||
| 780 | float yz = y * z; | ||
| 781 | float zx = z * x; | ||
| 782 | float oneMinusC = 1.0f - c; | ||
| 783 | float col0[3] = { | ||
| 784 | (((x * x) * oneMinusC) + c), | ||
| 785 | ((xy * oneMinusC) + (z * s)), ((zx * oneMinusC) - (y * s)) | ||
| 786 | }; | ||
| 787 | float col1[3] = { | ||
| 788 | ((xy * oneMinusC) - (z * s)), | ||
| 789 | (((y * y) * oneMinusC) + c), ((yz * oneMinusC) + (x * s)) | ||
| 790 | }; | ||
| 791 | float col2[3] = { | ||
| 792 | ((zx * oneMinusC) + (y * s)), | ||
| 793 | ((yz * oneMinusC) - (x * s)), (((z * z) * oneMinusC) + c) | ||
| 794 | }; | ||
| 795 | float* p = mesh->points; | ||
| 796 | for (int i = 0; i < mesh->npoints; i++, p += 3) { | ||
| 797 | float x = col0[0] * p[0] + col1[0] * p[1] + col2[0] * p[2]; | ||
| 798 | float y = col0[1] * p[0] + col1[1] * p[1] + col2[1] * p[2]; | ||
| 799 | float z = col0[2] * p[0] + col1[2] * p[1] + col2[2] * p[2]; | ||
| 800 | p[0] = x; | ||
| 801 | p[1] = y; | ||
| 802 | p[2] = z; | ||
| 803 | } | ||
| 804 | float* n = mesh->normals; | ||
| 805 | if (n) { | ||
| 806 | for (int i = 0; i < mesh->npoints; i++, n += 3) { | ||
| 807 | float x = col0[0] * n[0] + col1[0] * n[1] + col2[0] * n[2]; | ||
| 808 | float y = col0[1] * n[0] + col1[1] * n[1] + col2[1] * n[2]; | ||
| 809 | float z = col0[2] * n[0] + col1[2] * n[1] + col2[2] * n[2]; | ||
| 810 | n[0] = x; | ||
| 811 | n[1] = y; | ||
| 812 | n[2] = z; | ||
| 813 | } | ||
| 814 | } | ||
| 815 | } | ||
| 816 | |||
| 817 | void par_shapes_scale(par_shapes_mesh* m, float x, float y, float z) | ||
| 818 | { | ||
| 819 | float* points = m->points; | ||
| 820 | for (int i = 0; i < m->npoints; i++) { | ||
| 821 | *points++ *= x; | ||
| 822 | *points++ *= y; | ||
| 823 | *points++ *= z; | ||
| 824 | } | ||
| 825 | float* n = m->normals; | ||
| 826 | if (n && !(x == y && y == z)) { | ||
| 827 | bool x_zero = x == 0; | ||
| 828 | bool y_zero = y == 0; | ||
| 829 | bool z_zero = z == 0; | ||
| 830 | if (!x_zero && !y_zero && !z_zero) { | ||
| 831 | x = 1.0f / x; | ||
| 832 | y = 1.0f / y; | ||
| 833 | z = 1.0f / z; | ||
| 834 | } else { | ||
| 835 | x = x_zero && !y_zero && !z_zero; | ||
| 836 | y = y_zero && !x_zero && !z_zero; | ||
| 837 | z = z_zero && !x_zero && !y_zero; | ||
| 838 | } | ||
| 839 | for (int i = 0; i < m->npoints; i++, n += 3) { | ||
| 840 | n[0] *= x; | ||
| 841 | n[1] *= y; | ||
| 842 | n[2] *= z; | ||
| 843 | par_shapes__normalize3(n); | ||
| 844 | } | ||
| 845 | } | ||
| 846 | } | ||
| 847 | |||
| 848 | void par_shapes_merge_and_free(par_shapes_mesh* dst, par_shapes_mesh* src) | ||
| 849 | { | ||
| 850 | par_shapes_merge(dst, src); | ||
| 851 | par_shapes_free_mesh(src); | ||
| 852 | } | ||
| 853 | |||
| 854 | void par_shapes_compute_aabb(par_shapes_mesh const* m, float* aabb) | ||
| 855 | { | ||
| 856 | float* points = m->points; | ||
| 857 | aabb[0] = aabb[3] = points[0]; | ||
| 858 | aabb[1] = aabb[4] = points[1]; | ||
| 859 | aabb[2] = aabb[5] = points[2]; | ||
| 860 | points += 3; | ||
| 861 | for (int i = 1; i < m->npoints; i++, points += 3) { | ||
| 862 | aabb[0] = PAR_MIN(points[0], aabb[0]); | ||
| 863 | aabb[1] = PAR_MIN(points[1], aabb[1]); | ||
| 864 | aabb[2] = PAR_MIN(points[2], aabb[2]); | ||
| 865 | aabb[3] = PAR_MAX(points[0], aabb[3]); | ||
| 866 | aabb[4] = PAR_MAX(points[1], aabb[4]); | ||
| 867 | aabb[5] = PAR_MAX(points[2], aabb[5]); | ||
| 868 | } | ||
| 869 | } | ||
| 870 | |||
| 871 | void par_shapes_invert(par_shapes_mesh* m, int face, int nfaces) | ||
| 872 | { | ||
| 873 | nfaces = nfaces ? nfaces : m->ntriangles; | ||
| 874 | PAR_SHAPES_T* tri = m->triangles + face * 3; | ||
| 875 | for (int i = 0; i < nfaces; i++) { | ||
| 876 | PAR_SWAP(PAR_SHAPES_T, tri[0], tri[2]); | ||
| 877 | tri += 3; | ||
| 878 | } | ||
| 879 | } | ||
| 880 | |||
| 881 | par_shapes_mesh* par_shapes_create_icosahedron() | ||
| 882 | { | ||
| 883 | static float verts[] = { | ||
| 884 | 0.000, 0.000, 1.000, | ||
| 885 | 0.894, 0.000, 0.447, | ||
| 886 | 0.276, 0.851, 0.447, | ||
| 887 | -0.724, 0.526, 0.447, | ||
| 888 | -0.724, -0.526, 0.447, | ||
| 889 | 0.276, -0.851, 0.447, | ||
| 890 | 0.724, 0.526, -0.447, | ||
| 891 | -0.276, 0.851, -0.447, | ||
| 892 | -0.894, 0.000, -0.447, | ||
| 893 | -0.276, -0.851, -0.447, | ||
| 894 | 0.724, -0.526, -0.447, | ||
| 895 | 0.000, 0.000, -1.000 | ||
| 896 | }; | ||
| 897 | static PAR_SHAPES_T faces[] = { | ||
| 898 | 0,1,2, | ||
| 899 | 0,2,3, | ||
| 900 | 0,3,4, | ||
| 901 | 0,4,5, | ||
| 902 | 0,5,1, | ||
| 903 | 7,6,11, | ||
| 904 | 8,7,11, | ||
| 905 | 9,8,11, | ||
| 906 | 10,9,11, | ||
| 907 | 6,10,11, | ||
| 908 | 6,2,1, | ||
| 909 | 7,3,2, | ||
| 910 | 8,4,3, | ||
| 911 | 9,5,4, | ||
| 912 | 10,1,5, | ||
| 913 | 6,7,2, | ||
| 914 | 7,8,3, | ||
| 915 | 8,9,4, | ||
| 916 | 9,10,5, | ||
| 917 | 10,6,1 | ||
| 918 | }; | ||
| 919 | par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1); | ||
| 920 | mesh->npoints = sizeof(verts) / sizeof(verts[0]) / 3; | ||
| 921 | mesh->points = PAR_MALLOC(float, sizeof(verts) / 4); | ||
| 922 | memcpy(mesh->points, verts, sizeof(verts)); | ||
| 923 | mesh->ntriangles = sizeof(faces) / sizeof(faces[0]) / 3; | ||
| 924 | mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, sizeof(faces) / 2); | ||
| 925 | memcpy(mesh->triangles, faces, sizeof(faces)); | ||
| 926 | return mesh; | ||
| 927 | } | ||
| 928 | |||
| 929 | par_shapes_mesh* par_shapes_create_dodecahedron() | ||
| 930 | { | ||
| 931 | static float verts[20 * 3] = { | ||
| 932 | 0.607, 0.000, 0.795, | ||
| 933 | 0.188, 0.577, 0.795, | ||
| 934 | -0.491, 0.357, 0.795, | ||
| 935 | -0.491, -0.357, 0.795, | ||
| 936 | 0.188, -0.577, 0.795, | ||
| 937 | 0.982, 0.000, 0.188, | ||
| 938 | 0.304, 0.934, 0.188, | ||
| 939 | -0.795, 0.577, 0.188, | ||
| 940 | -0.795, -0.577, 0.188, | ||
| 941 | 0.304, -0.934, 0.188, | ||
| 942 | 0.795, 0.577, -0.188, | ||
| 943 | -0.304, 0.934, -0.188, | ||
| 944 | -0.982, 0.000, -0.188, | ||
| 945 | -0.304, -0.934, -0.188, | ||
| 946 | 0.795, -0.577, -0.188, | ||
| 947 | 0.491, 0.357, -0.795, | ||
| 948 | -0.188, 0.577, -0.795, | ||
| 949 | -0.607, 0.000, -0.795, | ||
| 950 | -0.188, -0.577, -0.795, | ||
| 951 | 0.491, -0.357, -0.795, | ||
| 952 | }; | ||
| 953 | static PAR_SHAPES_T pentagons[12 * 5] = { | ||
| 954 | 0,1,2,3,4, | ||
| 955 | 5,10,6,1,0, | ||
| 956 | 6,11,7,2,1, | ||
| 957 | 7,12,8,3,2, | ||
| 958 | 8,13,9,4,3, | ||
| 959 | 9,14,5,0,4, | ||
| 960 | 15,16,11,6,10, | ||
| 961 | 16,17,12,7,11, | ||
| 962 | 17,18,13,8,12, | ||
| 963 | 18,19,14,9,13, | ||
| 964 | 19,15,10,5,14, | ||
| 965 | 19,18,17,16,15 | ||
| 966 | }; | ||
| 967 | int npentagons = sizeof(pentagons) / sizeof(pentagons[0]) / 5; | ||
| 968 | par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1); | ||
| 969 | int ncorners = sizeof(verts) / sizeof(verts[0]) / 3; | ||
| 970 | mesh->npoints = ncorners; | ||
| 971 | mesh->points = PAR_MALLOC(float, mesh->npoints * 3); | ||
| 972 | memcpy(mesh->points, verts, sizeof(verts)); | ||
| 973 | PAR_SHAPES_T const* pentagon = pentagons; | ||
| 974 | mesh->ntriangles = npentagons * 3; | ||
| 975 | mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3); | ||
| 976 | PAR_SHAPES_T* tris = mesh->triangles; | ||
| 977 | for (int p = 0; p < npentagons; p++, pentagon += 5) { | ||
| 978 | *tris++ = pentagon[0]; | ||
| 979 | *tris++ = pentagon[1]; | ||
| 980 | *tris++ = pentagon[2]; | ||
| 981 | *tris++ = pentagon[0]; | ||
| 982 | *tris++ = pentagon[2]; | ||
| 983 | *tris++ = pentagon[3]; | ||
| 984 | *tris++ = pentagon[0]; | ||
| 985 | *tris++ = pentagon[3]; | ||
| 986 | *tris++ = pentagon[4]; | ||
| 987 | } | ||
| 988 | return mesh; | ||
| 989 | } | ||
| 990 | |||
| 991 | par_shapes_mesh* par_shapes_create_octahedron() | ||
| 992 | { | ||
| 993 | static float verts[6 * 3] = { | ||
| 994 | 0.000, 0.000, 1.000, | ||
| 995 | 1.000, 0.000, 0.000, | ||
| 996 | 0.000, 1.000, 0.000, | ||
| 997 | -1.000, 0.000, 0.000, | ||
| 998 | 0.000, -1.000, 0.000, | ||
| 999 | 0.000, 0.000, -1.000 | ||
| 1000 | }; | ||
| 1001 | static PAR_SHAPES_T triangles[8 * 3] = { | ||
| 1002 | 0,1,2, | ||
| 1003 | 0,2,3, | ||
| 1004 | 0,3,4, | ||
| 1005 | 0,4,1, | ||
| 1006 | 2,1,5, | ||
| 1007 | 3,2,5, | ||
| 1008 | 4,3,5, | ||
| 1009 | 1,4,5, | ||
| 1010 | }; | ||
| 1011 | int ntris = sizeof(triangles) / sizeof(triangles[0]) / 3; | ||
| 1012 | par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1); | ||
| 1013 | int ncorners = sizeof(verts) / sizeof(verts[0]) / 3; | ||
| 1014 | mesh->npoints = ncorners; | ||
| 1015 | mesh->points = PAR_MALLOC(float, mesh->npoints * 3); | ||
| 1016 | memcpy(mesh->points, verts, sizeof(verts)); | ||
| 1017 | PAR_SHAPES_T const* triangle = triangles; | ||
| 1018 | mesh->ntriangles = ntris; | ||
| 1019 | mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3); | ||
| 1020 | PAR_SHAPES_T* tris = mesh->triangles; | ||
| 1021 | for (int p = 0; p < ntris; p++) { | ||
| 1022 | *tris++ = *triangle++; | ||
| 1023 | *tris++ = *triangle++; | ||
| 1024 | *tris++ = *triangle++; | ||
| 1025 | } | ||
| 1026 | return mesh; | ||
| 1027 | } | ||
| 1028 | |||
| 1029 | par_shapes_mesh* par_shapes_create_tetrahedron() | ||
| 1030 | { | ||
| 1031 | static float verts[4 * 3] = { | ||
| 1032 | 0.000, 1.333, 0, | ||
| 1033 | 0.943, 0, 0, | ||
| 1034 | -0.471, 0, 0.816, | ||
| 1035 | -0.471, 0, -0.816, | ||
| 1036 | }; | ||
| 1037 | static PAR_SHAPES_T triangles[4 * 3] = { | ||
| 1038 | 2,1,0, | ||
| 1039 | 3,2,0, | ||
| 1040 | 1,3,0, | ||
| 1041 | 1,2,3, | ||
| 1042 | }; | ||
| 1043 | int ntris = sizeof(triangles) / sizeof(triangles[0]) / 3; | ||
| 1044 | par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1); | ||
| 1045 | int ncorners = sizeof(verts) / sizeof(verts[0]) / 3; | ||
| 1046 | mesh->npoints = ncorners; | ||
| 1047 | mesh->points = PAR_MALLOC(float, mesh->npoints * 3); | ||
| 1048 | memcpy(mesh->points, verts, sizeof(verts)); | ||
| 1049 | PAR_SHAPES_T const* triangle = triangles; | ||
| 1050 | mesh->ntriangles = ntris; | ||
| 1051 | mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3); | ||
| 1052 | PAR_SHAPES_T* tris = mesh->triangles; | ||
| 1053 | for (int p = 0; p < ntris; p++) { | ||
| 1054 | *tris++ = *triangle++; | ||
| 1055 | *tris++ = *triangle++; | ||
| 1056 | *tris++ = *triangle++; | ||
| 1057 | } | ||
| 1058 | return mesh; | ||
| 1059 | } | ||
| 1060 | |||
| 1061 | par_shapes_mesh* par_shapes_create_cube() | ||
| 1062 | { | ||
| 1063 | static float verts[8 * 3] = { | ||
| 1064 | 0, 0, 0, // 0 | ||
| 1065 | 0, 1, 0, // 1 | ||
| 1066 | 1, 1, 0, // 2 | ||
| 1067 | 1, 0, 0, // 3 | ||
| 1068 | 0, 0, 1, // 4 | ||
| 1069 | 0, 1, 1, // 5 | ||
| 1070 | 1, 1, 1, // 6 | ||
| 1071 | 1, 0, 1, // 7 | ||
| 1072 | }; | ||
| 1073 | static PAR_SHAPES_T quads[6 * 4] = { | ||
| 1074 | 7,6,5,4, // front | ||
| 1075 | 0,1,2,3, // back | ||
| 1076 | 6,7,3,2, // right | ||
| 1077 | 5,6,2,1, // top | ||
| 1078 | 4,5,1,0, // left | ||
| 1079 | 7,4,0,3, // bottom | ||
| 1080 | }; | ||
| 1081 | int nquads = sizeof(quads) / sizeof(quads[0]) / 4; | ||
| 1082 | par_shapes_mesh* mesh = PAR_CALLOC(par_shapes_mesh, 1); | ||
| 1083 | int ncorners = sizeof(verts) / sizeof(verts[0]) / 3; | ||
| 1084 | mesh->npoints = ncorners; | ||
| 1085 | mesh->points = PAR_MALLOC(float, mesh->npoints * 3); | ||
| 1086 | memcpy(mesh->points, verts, sizeof(verts)); | ||
| 1087 | PAR_SHAPES_T const* quad = quads; | ||
| 1088 | mesh->ntriangles = nquads * 2; | ||
| 1089 | mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3); | ||
| 1090 | PAR_SHAPES_T* tris = mesh->triangles; | ||
| 1091 | for (int p = 0; p < nquads; p++, quad += 4) { | ||
| 1092 | *tris++ = quad[0]; | ||
| 1093 | *tris++ = quad[1]; | ||
| 1094 | *tris++ = quad[2]; | ||
| 1095 | *tris++ = quad[2]; | ||
| 1096 | *tris++ = quad[3]; | ||
| 1097 | *tris++ = quad[0]; | ||
| 1098 | } | ||
| 1099 | return mesh; | ||
| 1100 | } | ||
| 1101 | |||
| 1102 | typedef struct { | ||
| 1103 | char* cmd; | ||
| 1104 | char* arg; | ||
| 1105 | } par_shapes__command; | ||
| 1106 | |||
| 1107 | typedef struct { | ||
| 1108 | char const* name; | ||
| 1109 | int weight; | ||
| 1110 | int ncommands; | ||
| 1111 | par_shapes__command* commands; | ||
| 1112 | } par_shapes__rule; | ||
| 1113 | |||
| 1114 | typedef struct { | ||
| 1115 | int pc; | ||
| 1116 | float position[3]; | ||
| 1117 | float scale[3]; | ||
| 1118 | par_shapes_mesh* orientation; | ||
| 1119 | par_shapes__rule* rule; | ||
| 1120 | } par_shapes__stackframe; | ||
| 1121 | |||
| 1122 | static par_shapes__rule* par_shapes__pick_rule(const char* name, | ||
| 1123 | par_shapes__rule* rules, int nrules) | ||
| 1124 | { | ||
| 1125 | par_shapes__rule* rule = 0; | ||
| 1126 | int total = 0; | ||
| 1127 | for (int i = 0; i < nrules; i++) { | ||
| 1128 | rule = rules + i; | ||
| 1129 | if (!strcmp(rule->name, name)) { | ||
| 1130 | total += rule->weight; | ||
| 1131 | } | ||
| 1132 | } | ||
| 1133 | float r = (float) rand() / (float) RAND_MAX; | ||
| 1134 | float t = 0; | ||
| 1135 | for (int i = 0; i < nrules; i++) { | ||
| 1136 | rule = rules + i; | ||
| 1137 | if (!strcmp(rule->name, name)) { | ||
| 1138 | t += (float) rule->weight / total; | ||
| 1139 | if (t >= r) { | ||
| 1140 | return rule; | ||
| 1141 | } | ||
| 1142 | } | ||
| 1143 | } | ||
| 1144 | return rule; | ||
| 1145 | } | ||
| 1146 | |||
| 1147 | static par_shapes_mesh* par_shapes__create_turtle() | ||
| 1148 | { | ||
| 1149 | const float xaxis[] = {1, 0, 0}; | ||
| 1150 | const float yaxis[] = {0, 1, 0}; | ||
| 1151 | const float zaxis[] = {0, 0, 1}; | ||
| 1152 | par_shapes_mesh* turtle = PAR_CALLOC(par_shapes_mesh, 1); | ||
| 1153 | turtle->npoints = 3; | ||
| 1154 | turtle->points = PAR_CALLOC(float, turtle->npoints * 3); | ||
| 1155 | par_shapes__copy3(turtle->points + 0, xaxis); | ||
| 1156 | par_shapes__copy3(turtle->points + 3, yaxis); | ||
| 1157 | par_shapes__copy3(turtle->points + 6, zaxis); | ||
| 1158 | return turtle; | ||
| 1159 | } | ||
| 1160 | |||
| 1161 | static par_shapes_mesh* par_shapes__apply_turtle(par_shapes_mesh* mesh, | ||
| 1162 | par_shapes_mesh* turtle, float const* pos, float const* scale) | ||
| 1163 | { | ||
| 1164 | par_shapes_mesh* m = par_shapes_clone(mesh, 0); | ||
| 1165 | for (int p = 0; p < m->npoints; p++) { | ||
| 1166 | float* pt = m->points + p * 3; | ||
| 1167 | pt[0] *= scale[0]; | ||
| 1168 | pt[1] *= scale[1]; | ||
| 1169 | pt[2] *= scale[2]; | ||
| 1170 | par_shapes__transform3(pt, | ||
| 1171 | turtle->points + 0, turtle->points + 3, turtle->points + 6); | ||
| 1172 | pt[0] += pos[0]; | ||
| 1173 | pt[1] += pos[1]; | ||
| 1174 | pt[2] += pos[2]; | ||
| 1175 | } | ||
| 1176 | return m; | ||
| 1177 | } | ||
| 1178 | |||
| 1179 | void par_shapes__connect(par_shapes_mesh* scene, par_shapes_mesh* cylinder, | ||
| 1180 | int slices) | ||
| 1181 | { | ||
| 1182 | int stacks = 1; | ||
| 1183 | int npoints = (slices + 1) * (stacks + 1); | ||
| 1184 | assert(scene->npoints >= npoints && "Cannot connect to empty scene."); | ||
| 1185 | |||
| 1186 | // Create the new point list. | ||
| 1187 | npoints = scene->npoints + (slices + 1); | ||
| 1188 | float* points = PAR_MALLOC(float, npoints * 3); | ||
| 1189 | memcpy(points, scene->points, sizeof(float) * scene->npoints * 3); | ||
| 1190 | float* newpts = points + scene->npoints * 3; | ||
| 1191 | memcpy(newpts, cylinder->points + (slices + 1) * 3, | ||
| 1192 | sizeof(float) * (slices + 1) * 3); | ||
| 1193 | PAR_FREE(scene->points); | ||
| 1194 | scene->points = points; | ||
| 1195 | |||
| 1196 | // Create the new triangle list. | ||
| 1197 | int ntriangles = scene->ntriangles + 2 * slices * stacks; | ||
| 1198 | PAR_SHAPES_T* triangles = PAR_MALLOC(PAR_SHAPES_T, ntriangles * 3); | ||
| 1199 | memcpy(triangles, scene->triangles, | ||
| 1200 | sizeof(PAR_SHAPES_T) * scene->ntriangles * 3); | ||
| 1201 | int v = scene->npoints - (slices + 1); | ||
| 1202 | PAR_SHAPES_T* face = triangles + scene->ntriangles * 3; | ||
| 1203 | for (int stack = 0; stack < stacks; stack++) { | ||
| 1204 | for (int slice = 0; slice < slices; slice++) { | ||
| 1205 | int next = slice + 1; | ||
| 1206 | *face++ = v + slice + slices + 1; | ||
| 1207 | *face++ = v + next; | ||
| 1208 | *face++ = v + slice; | ||
| 1209 | *face++ = v + slice + slices + 1; | ||
| 1210 | *face++ = v + next + slices + 1; | ||
| 1211 | *face++ = v + next; | ||
| 1212 | } | ||
| 1213 | v += slices + 1; | ||
| 1214 | } | ||
| 1215 | PAR_FREE(scene->triangles); | ||
| 1216 | scene->triangles = triangles; | ||
| 1217 | |||
| 1218 | scene->npoints = npoints; | ||
| 1219 | scene->ntriangles = ntriangles; | ||
| 1220 | } | ||
| 1221 | |||
| 1222 | par_shapes_mesh* par_shapes_create_lsystem(char const* text, int slices, | ||
| 1223 | int maxdepth) | ||
| 1224 | { | ||
| 1225 | char* program; | ||
| 1226 | program = PAR_MALLOC(char, strlen(text) + 1); | ||
| 1227 | |||
| 1228 | // The first pass counts the number of rules and commands. | ||
| 1229 | strcpy(program, text); | ||
| 1230 | char *cmd = strtok(program, " "); | ||
| 1231 | int nrules = 1; | ||
| 1232 | int ncommands = 0; | ||
| 1233 | while (cmd) { | ||
| 1234 | char *arg = strtok(0, " "); | ||
| 1235 | if (!arg) { | ||
| 1236 | puts("lsystem error: unexpected end of program."); | ||
| 1237 | break; | ||
| 1238 | } | ||
| 1239 | if (!strcmp(cmd, "rule")) { | ||
| 1240 | nrules++; | ||
| 1241 | } else { | ||
| 1242 | ncommands++; | ||
| 1243 | } | ||
| 1244 | cmd = strtok(0, " "); | ||
| 1245 | } | ||
| 1246 | |||
| 1247 | // Allocate space. | ||
| 1248 | par_shapes__rule* rules = PAR_MALLOC(par_shapes__rule, nrules); | ||
| 1249 | par_shapes__command* commands = PAR_MALLOC(par_shapes__command, ncommands); | ||
| 1250 | |||
| 1251 | // Initialize the entry rule. | ||
| 1252 | par_shapes__rule* current_rule = &rules[0]; | ||
| 1253 | par_shapes__command* current_command = &commands[0]; | ||
| 1254 | current_rule->name = "entry"; | ||
| 1255 | current_rule->weight = 1; | ||
| 1256 | current_rule->ncommands = 0; | ||
| 1257 | current_rule->commands = current_command; | ||
| 1258 | |||
| 1259 | // The second pass fills in the structures. | ||
| 1260 | strcpy(program, text); | ||
| 1261 | cmd = strtok(program, " "); | ||
| 1262 | while (cmd) { | ||
| 1263 | char *arg = strtok(0, " "); | ||
| 1264 | if (!strcmp(cmd, "rule")) { | ||
| 1265 | current_rule++; | ||
| 1266 | |||
| 1267 | // Split the argument into a rule name and weight. | ||
| 1268 | char* dot = strchr(arg, '.'); | ||
| 1269 | if (dot) { | ||
| 1270 | current_rule->weight = atoi(dot + 1); | ||
| 1271 | *dot = 0; | ||
| 1272 | } else { | ||
| 1273 | current_rule->weight = 1; | ||
| 1274 | } | ||
| 1275 | |||
| 1276 | current_rule->name = arg; | ||
| 1277 | current_rule->ncommands = 0; | ||
| 1278 | current_rule->commands = current_command; | ||
| 1279 | } else { | ||
| 1280 | current_rule->ncommands++; | ||
| 1281 | current_command->cmd = cmd; | ||
| 1282 | current_command->arg = arg; | ||
| 1283 | current_command++; | ||
| 1284 | } | ||
| 1285 | cmd = strtok(0, " "); | ||
| 1286 | } | ||
| 1287 | |||
| 1288 | // For testing purposes, dump out the parsed program. | ||
| 1289 | #ifdef TEST_PARSE | ||
| 1290 | for (int i = 0; i < nrules; i++) { | ||
| 1291 | par_shapes__rule rule = rules[i]; | ||
| 1292 | printf("rule %s.%d\n", rule.name, rule.weight); | ||
| 1293 | for (int c = 0; c < rule.ncommands; c++) { | ||
| 1294 | par_shapes__command cmd = rule.commands[c]; | ||
| 1295 | printf("\t%s %s\n", cmd.cmd, cmd.arg); | ||
| 1296 | } | ||
| 1297 | } | ||
| 1298 | #endif | ||
| 1299 | |||
| 1300 | // Instantiate the aggregated shape and the template shapes. | ||
| 1301 | par_shapes_mesh* scene = PAR_CALLOC(par_shapes_mesh, 1); | ||
| 1302 | par_shapes_mesh* tube = par_shapes_create_cylinder(slices, 1); | ||
| 1303 | par_shapes_mesh* turtle = par_shapes__create_turtle(); | ||
| 1304 | |||
| 1305 | // We're not attempting to support texture coordinates and normals | ||
| 1306 | // with L-systems, so remove them from the template shape. | ||
| 1307 | PAR_FREE(tube->normals); | ||
| 1308 | PAR_FREE(tube->tcoords); | ||
| 1309 | tube->normals = 0; | ||
| 1310 | tube->tcoords = 0; | ||
| 1311 | |||
| 1312 | const float xaxis[] = {1, 0, 0}; | ||
| 1313 | const float yaxis[] = {0, 1, 0}; | ||
| 1314 | const float zaxis[] = {0, 0, 1}; | ||
| 1315 | const float units[] = {1, 1, 1}; | ||
| 1316 | |||
| 1317 | // Execute the L-system program until the stack size is 0. | ||
| 1318 | par_shapes__stackframe* stack = | ||
| 1319 | PAR_CALLOC(par_shapes__stackframe, maxdepth); | ||
| 1320 | int stackptr = 0; | ||
| 1321 | stack[0].orientation = turtle; | ||
| 1322 | stack[0].rule = &rules[0]; | ||
| 1323 | par_shapes__copy3(stack[0].scale, units); | ||
| 1324 | while (stackptr >= 0) { | ||
| 1325 | par_shapes__stackframe* frame = &stack[stackptr]; | ||
| 1326 | par_shapes__rule* rule = frame->rule; | ||
| 1327 | par_shapes_mesh* turtle = frame->orientation; | ||
| 1328 | float* position = frame->position; | ||
| 1329 | float* scale = frame->scale; | ||
| 1330 | if (frame->pc >= rule->ncommands) { | ||
| 1331 | par_shapes_free_mesh(turtle); | ||
| 1332 | stackptr--; | ||
| 1333 | continue; | ||
| 1334 | } | ||
| 1335 | |||
| 1336 | par_shapes__command* cmd = rule->commands + (frame->pc++); | ||
| 1337 | #ifdef DUMP_TRACE | ||
| 1338 | printf("%5s %5s %5s:%d %03d\n", cmd->cmd, cmd->arg, rule->name, | ||
| 1339 | frame->pc - 1, stackptr); | ||
| 1340 | #endif | ||
| 1341 | |||
| 1342 | float value; | ||
| 1343 | if (!strcmp(cmd->cmd, "shape")) { | ||
| 1344 | par_shapes_mesh* m = par_shapes__apply_turtle(tube, turtle, | ||
| 1345 | position, scale); | ||
| 1346 | if (!strcmp(cmd->arg, "connect")) { | ||
| 1347 | par_shapes__connect(scene, m, slices); | ||
| 1348 | } else { | ||
| 1349 | par_shapes_merge(scene, m); | ||
| 1350 | } | ||
| 1351 | par_shapes_free_mesh(m); | ||
| 1352 | } else if (!strcmp(cmd->cmd, "call") && stackptr < maxdepth - 1) { | ||
| 1353 | rule = par_shapes__pick_rule(cmd->arg, rules, nrules); | ||
| 1354 | frame = &stack[++stackptr]; | ||
| 1355 | frame->rule = rule; | ||
| 1356 | frame->orientation = par_shapes_clone(turtle, 0); | ||
| 1357 | frame->pc = 0; | ||
| 1358 | par_shapes__copy3(frame->scale, scale); | ||
| 1359 | par_shapes__copy3(frame->position, position); | ||
| 1360 | continue; | ||
| 1361 | } else { | ||
| 1362 | value = atof(cmd->arg); | ||
| 1363 | if (!strcmp(cmd->cmd, "rx")) { | ||
| 1364 | par_shapes_rotate(turtle, value * PAR_PI / 180.0, xaxis); | ||
| 1365 | } else if (!strcmp(cmd->cmd, "ry")) { | ||
| 1366 | par_shapes_rotate(turtle, value * PAR_PI / 180.0, yaxis); | ||
| 1367 | } else if (!strcmp(cmd->cmd, "rz")) { | ||
| 1368 | par_shapes_rotate(turtle, value * PAR_PI / 180.0, zaxis); | ||
| 1369 | } else if (!strcmp(cmd->cmd, "tx")) { | ||
| 1370 | float vec[3] = {value, 0, 0}; | ||
| 1371 | float t[3] = { | ||
| 1372 | par_shapes__dot3(turtle->points + 0, vec), | ||
| 1373 | par_shapes__dot3(turtle->points + 3, vec), | ||
| 1374 | par_shapes__dot3(turtle->points + 6, vec) | ||
| 1375 | }; | ||
| 1376 | par_shapes__add3(position, t); | ||
| 1377 | } else if (!strcmp(cmd->cmd, "ty")) { | ||
| 1378 | float vec[3] = {0, value, 0}; | ||
| 1379 | float t[3] = { | ||
| 1380 | par_shapes__dot3(turtle->points + 0, vec), | ||
| 1381 | par_shapes__dot3(turtle->points + 3, vec), | ||
| 1382 | par_shapes__dot3(turtle->points + 6, vec) | ||
| 1383 | }; | ||
| 1384 | par_shapes__add3(position, t); | ||
| 1385 | } else if (!strcmp(cmd->cmd, "tz")) { | ||
| 1386 | float vec[3] = {0, 0, value}; | ||
| 1387 | float t[3] = { | ||
| 1388 | par_shapes__dot3(turtle->points + 0, vec), | ||
| 1389 | par_shapes__dot3(turtle->points + 3, vec), | ||
| 1390 | par_shapes__dot3(turtle->points + 6, vec) | ||
| 1391 | }; | ||
| 1392 | par_shapes__add3(position, t); | ||
| 1393 | } else if (!strcmp(cmd->cmd, "sx")) { | ||
| 1394 | scale[0] *= value; | ||
| 1395 | } else if (!strcmp(cmd->cmd, "sy")) { | ||
| 1396 | scale[1] *= value; | ||
| 1397 | } else if (!strcmp(cmd->cmd, "sz")) { | ||
| 1398 | scale[2] *= value; | ||
| 1399 | } else if (!strcmp(cmd->cmd, "sa")) { | ||
| 1400 | scale[0] *= value; | ||
| 1401 | scale[1] *= value; | ||
| 1402 | scale[2] *= value; | ||
| 1403 | } | ||
| 1404 | } | ||
| 1405 | } | ||
| 1406 | PAR_FREE(stack); | ||
| 1407 | PAR_FREE(program); | ||
| 1408 | PAR_FREE(rules); | ||
| 1409 | PAR_FREE(commands); | ||
| 1410 | return scene; | ||
| 1411 | } | ||
| 1412 | |||
| 1413 | void par_shapes_unweld(par_shapes_mesh* mesh, bool create_indices) | ||
| 1414 | { | ||
| 1415 | int npoints = mesh->ntriangles * 3; | ||
| 1416 | float* points = PAR_MALLOC(float, 3 * npoints); | ||
| 1417 | float* dst = points; | ||
| 1418 | PAR_SHAPES_T const* index = mesh->triangles; | ||
| 1419 | for (int i = 0; i < npoints; i++) { | ||
| 1420 | float const* src = mesh->points + 3 * (*index++); | ||
| 1421 | *dst++ = src[0]; | ||
| 1422 | *dst++ = src[1]; | ||
| 1423 | *dst++ = src[2]; | ||
| 1424 | } | ||
| 1425 | PAR_FREE(mesh->points); | ||
| 1426 | mesh->points = points; | ||
| 1427 | mesh->npoints = npoints; | ||
| 1428 | if (create_indices) { | ||
| 1429 | PAR_SHAPES_T* tris = PAR_MALLOC(PAR_SHAPES_T, 3 * mesh->ntriangles); | ||
| 1430 | PAR_SHAPES_T* index = tris; | ||
| 1431 | for (int i = 0; i < mesh->ntriangles * 3; i++) { | ||
| 1432 | *index++ = i; | ||
| 1433 | } | ||
| 1434 | PAR_FREE(mesh->triangles); | ||
| 1435 | mesh->triangles = tris; | ||
| 1436 | } | ||
| 1437 | } | ||
| 1438 | |||
| 1439 | void par_shapes_compute_normals(par_shapes_mesh* m) | ||
| 1440 | { | ||
| 1441 | PAR_FREE(m->normals); | ||
| 1442 | m->normals = PAR_CALLOC(float, m->npoints * 3); | ||
| 1443 | PAR_SHAPES_T const* triangle = m->triangles; | ||
| 1444 | float next[3], prev[3], cp[3]; | ||
| 1445 | for (int f = 0; f < m->ntriangles; f++, triangle += 3) { | ||
| 1446 | float const* pa = m->points + 3 * triangle[0]; | ||
| 1447 | float const* pb = m->points + 3 * triangle[1]; | ||
| 1448 | float const* pc = m->points + 3 * triangle[2]; | ||
| 1449 | par_shapes__copy3(next, pb); | ||
| 1450 | par_shapes__subtract3(next, pa); | ||
| 1451 | par_shapes__copy3(prev, pc); | ||
| 1452 | par_shapes__subtract3(prev, pa); | ||
| 1453 | par_shapes__cross3(cp, next, prev); | ||
| 1454 | par_shapes__add3(m->normals + 3 * triangle[0], cp); | ||
| 1455 | par_shapes__copy3(next, pc); | ||
| 1456 | par_shapes__subtract3(next, pb); | ||
| 1457 | par_shapes__copy3(prev, pa); | ||
| 1458 | par_shapes__subtract3(prev, pb); | ||
| 1459 | par_shapes__cross3(cp, next, prev); | ||
| 1460 | par_shapes__add3(m->normals + 3 * triangle[1], cp); | ||
| 1461 | par_shapes__copy3(next, pa); | ||
| 1462 | par_shapes__subtract3(next, pc); | ||
| 1463 | par_shapes__copy3(prev, pb); | ||
| 1464 | par_shapes__subtract3(prev, pc); | ||
| 1465 | par_shapes__cross3(cp, next, prev); | ||
| 1466 | par_shapes__add3(m->normals + 3 * triangle[2], cp); | ||
| 1467 | } | ||
| 1468 | float* normal = m->normals; | ||
| 1469 | for (int p = 0; p < m->npoints; p++, normal += 3) { | ||
| 1470 | par_shapes__normalize3(normal); | ||
| 1471 | } | ||
| 1472 | } | ||
| 1473 | |||
| 1474 | static void par_shapes__subdivide(par_shapes_mesh* mesh) | ||
| 1475 | { | ||
| 1476 | assert(mesh->npoints == mesh->ntriangles * 3 && "Must be unwelded."); | ||
| 1477 | int ntriangles = mesh->ntriangles * 4; | ||
| 1478 | int npoints = ntriangles * 3; | ||
| 1479 | float* points = PAR_CALLOC(float, npoints * 3); | ||
| 1480 | float* dpoint = points; | ||
| 1481 | float const* spoint = mesh->points; | ||
| 1482 | for (int t = 0; t < mesh->ntriangles; t++, spoint += 9, dpoint += 3) { | ||
| 1483 | float const* a = spoint; | ||
| 1484 | float const* b = spoint + 3; | ||
| 1485 | float const* c = spoint + 6; | ||
| 1486 | float const* p0 = dpoint; | ||
| 1487 | float const* p1 = dpoint + 3; | ||
| 1488 | float const* p2 = dpoint + 6; | ||
| 1489 | par_shapes__mix3(dpoint, a, b, 0.5); | ||
| 1490 | par_shapes__mix3(dpoint += 3, b, c, 0.5); | ||
| 1491 | par_shapes__mix3(dpoint += 3, a, c, 0.5); | ||
| 1492 | par_shapes__add3(dpoint += 3, a); | ||
| 1493 | par_shapes__add3(dpoint += 3, p0); | ||
| 1494 | par_shapes__add3(dpoint += 3, p2); | ||
| 1495 | par_shapes__add3(dpoint += 3, p0); | ||
| 1496 | par_shapes__add3(dpoint += 3, b); | ||
| 1497 | par_shapes__add3(dpoint += 3, p1); | ||
| 1498 | par_shapes__add3(dpoint += 3, p2); | ||
| 1499 | par_shapes__add3(dpoint += 3, p1); | ||
| 1500 | par_shapes__add3(dpoint += 3, c); | ||
| 1501 | } | ||
| 1502 | PAR_FREE(mesh->points); | ||
| 1503 | mesh->points = points; | ||
| 1504 | mesh->npoints = npoints; | ||
| 1505 | mesh->ntriangles = ntriangles; | ||
| 1506 | } | ||
| 1507 | |||
| 1508 | par_shapes_mesh* par_shapes_create_subdivided_sphere(int nsubd) | ||
| 1509 | { | ||
| 1510 | par_shapes_mesh* mesh = par_shapes_create_icosahedron(); | ||
| 1511 | par_shapes_unweld(mesh, false); | ||
| 1512 | PAR_FREE(mesh->triangles); | ||
| 1513 | mesh->triangles = 0; | ||
| 1514 | while (nsubd--) { | ||
| 1515 | par_shapes__subdivide(mesh); | ||
| 1516 | } | ||
| 1517 | for (int i = 0; i < mesh->npoints; i++) { | ||
| 1518 | par_shapes__normalize3(mesh->points + i * 3); | ||
| 1519 | } | ||
| 1520 | mesh->triangles = PAR_MALLOC(PAR_SHAPES_T, 3 * mesh->ntriangles); | ||
| 1521 | for (int i = 0; i < mesh->ntriangles * 3; i++) { | ||
| 1522 | mesh->triangles[i] = i; | ||
| 1523 | } | ||
| 1524 | par_shapes_mesh* tmp = mesh; | ||
| 1525 | mesh = par_shapes_weld(mesh, 0.01, 0); | ||
| 1526 | par_shapes_free_mesh(tmp); | ||
| 1527 | par_shapes_compute_normals(mesh); | ||
| 1528 | return mesh; | ||
| 1529 | } | ||
| 1530 | |||
| 1531 | par_shapes_mesh* par_shapes_create_rock(int seed, int subd) | ||
| 1532 | { | ||
| 1533 | par_shapes_mesh* mesh = par_shapes_create_subdivided_sphere(subd); | ||
| 1534 | struct osn_context* ctx; | ||
| 1535 | par__simplex_noise(seed, &ctx); | ||
| 1536 | for (int p = 0; p < mesh->npoints; p++) { | ||
| 1537 | float* pt = mesh->points + p * 3; | ||
| 1538 | float a = 0.25, f = 1.0; | ||
| 1539 | double n = a * par__simplex_noise2(ctx, f * pt[0], f * pt[2]); | ||
| 1540 | a *= 0.5; f *= 2; | ||
| 1541 | n += a * par__simplex_noise2(ctx, f * pt[0], f * pt[2]); | ||
| 1542 | pt[0] *= 1 + 2 * n; | ||
| 1543 | pt[1] *= 1 + n; | ||
| 1544 | pt[2] *= 1 + 2 * n; | ||
| 1545 | if (pt[1] < 0) { | ||
| 1546 | pt[1] = -pow(-pt[1], 0.5) / 2; | ||
| 1547 | } | ||
| 1548 | } | ||
| 1549 | par__simplex_noise_free(ctx); | ||
| 1550 | par_shapes_compute_normals(mesh); | ||
| 1551 | return mesh; | ||
| 1552 | } | ||
| 1553 | |||
| 1554 | par_shapes_mesh* par_shapes_clone(par_shapes_mesh const* mesh, | ||
| 1555 | par_shapes_mesh* clone) | ||
| 1556 | { | ||
| 1557 | if (!clone) { | ||
| 1558 | clone = PAR_CALLOC(par_shapes_mesh, 1); | ||
| 1559 | } | ||
| 1560 | clone->npoints = mesh->npoints; | ||
| 1561 | clone->points = PAR_REALLOC(float, clone->points, 3 * clone->npoints); | ||
| 1562 | memcpy(clone->points, mesh->points, sizeof(float) * 3 * clone->npoints); | ||
| 1563 | clone->ntriangles = mesh->ntriangles; | ||
| 1564 | clone->triangles = PAR_REALLOC(PAR_SHAPES_T, clone->triangles, 3 * | ||
| 1565 | clone->ntriangles); | ||
| 1566 | memcpy(clone->triangles, mesh->triangles, | ||
| 1567 | sizeof(PAR_SHAPES_T) * 3 * clone->ntriangles); | ||
| 1568 | if (mesh->normals) { | ||
| 1569 | clone->normals = PAR_REALLOC(float, clone->normals, 3 * clone->npoints); | ||
| 1570 | memcpy(clone->normals, mesh->normals, | ||
| 1571 | sizeof(float) * 3 * clone->npoints); | ||
| 1572 | } | ||
| 1573 | if (mesh->tcoords) { | ||
| 1574 | clone->tcoords = PAR_REALLOC(float, clone->tcoords, 2 * clone->npoints); | ||
| 1575 | memcpy(clone->tcoords, mesh->tcoords, | ||
| 1576 | sizeof(float) * 2 * clone->npoints); | ||
| 1577 | } | ||
| 1578 | return clone; | ||
| 1579 | } | ||
| 1580 | |||
| 1581 | static struct { | ||
| 1582 | float const* points; | ||
| 1583 | int gridsize; | ||
| 1584 | } par_shapes__sort_context; | ||
| 1585 | |||
| 1586 | static int par_shapes__cmp1(const void *arg0, const void *arg1) | ||
| 1587 | { | ||
| 1588 | const int g = par_shapes__sort_context.gridsize; | ||
| 1589 | |||
| 1590 | // Convert arg0 into a flattened grid index. | ||
| 1591 | PAR_SHAPES_T d0 = *(const PAR_SHAPES_T*) arg0; | ||
| 1592 | float const* p0 = par_shapes__sort_context.points + d0 * 3; | ||
| 1593 | int i0 = (int) p0[0]; | ||
| 1594 | int j0 = (int) p0[1]; | ||
| 1595 | int k0 = (int) p0[2]; | ||
| 1596 | int index0 = i0 + g * j0 + g * g * k0; | ||
| 1597 | |||
| 1598 | // Convert arg1 into a flattened grid index. | ||
| 1599 | PAR_SHAPES_T d1 = *(const PAR_SHAPES_T*) arg1; | ||
| 1600 | float const* p1 = par_shapes__sort_context.points + d1 * 3; | ||
| 1601 | int i1 = (int) p1[0]; | ||
| 1602 | int j1 = (int) p1[1]; | ||
| 1603 | int k1 = (int) p1[2]; | ||
| 1604 | int index1 = i1 + g * j1 + g * g * k1; | ||
| 1605 | |||
| 1606 | // Return the ordering. | ||
| 1607 | if (index0 < index1) return -1; | ||
| 1608 | if (index0 > index1) return 1; | ||
| 1609 | return 0; | ||
| 1610 | } | ||
| 1611 | |||
| 1612 | static void par_shapes__sort_points(par_shapes_mesh* mesh, int gridsize, | ||
| 1613 | PAR_SHAPES_T* sortmap) | ||
| 1614 | { | ||
| 1615 | // Run qsort over a list of consecutive integers that get deferenced | ||
| 1616 | // within the comparator function; this creates a reorder mapping. | ||
| 1617 | for (int i = 0; i < mesh->npoints; i++) { | ||
| 1618 | sortmap[i] = i; | ||
| 1619 | } | ||
| 1620 | par_shapes__sort_context.gridsize = gridsize; | ||
| 1621 | par_shapes__sort_context.points = mesh->points; | ||
| 1622 | qsort(sortmap, mesh->npoints, sizeof(PAR_SHAPES_T), par_shapes__cmp1); | ||
| 1623 | |||
| 1624 | // Apply the reorder mapping to the XYZ coordinate data. | ||
| 1625 | float* newpts = PAR_MALLOC(float, mesh->npoints * 3); | ||
| 1626 | PAR_SHAPES_T* invmap = PAR_MALLOC(PAR_SHAPES_T, mesh->npoints); | ||
| 1627 | float* dstpt = newpts; | ||
| 1628 | for (int i = 0; i < mesh->npoints; i++) { | ||
| 1629 | invmap[sortmap[i]] = i; | ||
| 1630 | float const* srcpt = mesh->points + 3 * sortmap[i]; | ||
| 1631 | *dstpt++ = *srcpt++; | ||
| 1632 | *dstpt++ = *srcpt++; | ||
| 1633 | *dstpt++ = *srcpt++; | ||
| 1634 | } | ||
| 1635 | PAR_FREE(mesh->points); | ||
| 1636 | mesh->points = newpts; | ||
| 1637 | |||
| 1638 | // Apply the inverse reorder mapping to the triangle indices. | ||
| 1639 | PAR_SHAPES_T* newinds = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3); | ||
| 1640 | PAR_SHAPES_T* dstind = newinds; | ||
| 1641 | PAR_SHAPES_T const* srcind = mesh->triangles; | ||
| 1642 | for (int i = 0; i < mesh->ntriangles * 3; i++) { | ||
| 1643 | *dstind++ = invmap[*srcind++]; | ||
| 1644 | } | ||
| 1645 | PAR_FREE(mesh->triangles); | ||
| 1646 | mesh->triangles = newinds; | ||
| 1647 | |||
| 1648 | // Cleanup. | ||
| 1649 | memcpy(sortmap, invmap, sizeof(PAR_SHAPES_T) * mesh->npoints); | ||
| 1650 | PAR_FREE(invmap); | ||
| 1651 | } | ||
| 1652 | |||
| 1653 | static void par_shapes__weld_points(par_shapes_mesh* mesh, int gridsize, | ||
| 1654 | float epsilon, PAR_SHAPES_T* weldmap) | ||
| 1655 | { | ||
| 1656 | // Each bin contains a "pointer" (really an index) to its first point. | ||
| 1657 | // We add 1 because 0 is reserved to mean that the bin is empty. | ||
| 1658 | // Since the points are spatially sorted, there's no need to store | ||
| 1659 | // a point count in each bin. | ||
| 1660 | PAR_SHAPES_T* bins = PAR_CALLOC(PAR_SHAPES_T, | ||
| 1661 | gridsize * gridsize * gridsize); | ||
| 1662 | int prev_binindex = -1; | ||
| 1663 | for (int p = 0; p < mesh->npoints; p++) { | ||
| 1664 | float const* pt = mesh->points + p * 3; | ||
| 1665 | int i = (int) pt[0]; | ||
| 1666 | int j = (int) pt[1]; | ||
| 1667 | int k = (int) pt[2]; | ||
| 1668 | int this_binindex = i + gridsize * j + gridsize * gridsize * k; | ||
| 1669 | if (this_binindex != prev_binindex) { | ||
| 1670 | bins[this_binindex] = 1 + p; | ||
| 1671 | } | ||
| 1672 | prev_binindex = this_binindex; | ||
| 1673 | } | ||
| 1674 | |||
| 1675 | // Examine all bins that intersect the epsilon-sized cube centered at each | ||
| 1676 | // point, and check for colocated points within those bins. | ||
| 1677 | float const* pt = mesh->points; | ||
| 1678 | int nremoved = 0; | ||
| 1679 | for (int p = 0; p < mesh->npoints; p++, pt += 3) { | ||
| 1680 | |||
| 1681 | // Skip if this point has already been welded. | ||
| 1682 | if (weldmap[p] != p) { | ||
| 1683 | continue; | ||
| 1684 | } | ||
| 1685 | |||
| 1686 | // Build a list of bins that intersect the epsilon-sized cube. | ||
| 1687 | int nearby[8]; | ||
| 1688 | int nbins = 0; | ||
| 1689 | int minp[3], maxp[3]; | ||
| 1690 | for (int c = 0; c < 3; c++) { | ||
| 1691 | minp[c] = (int) (pt[c] - epsilon); | ||
| 1692 | maxp[c] = (int) (pt[c] + epsilon); | ||
| 1693 | } | ||
| 1694 | for (int i = minp[0]; i <= maxp[0]; i++) { | ||
| 1695 | for (int j = minp[1]; j <= maxp[1]; j++) { | ||
| 1696 | for (int k = minp[2]; k <= maxp[2]; k++) { | ||
| 1697 | int binindex = i + gridsize * j + gridsize * gridsize * k; | ||
| 1698 | PAR_SHAPES_T binvalue = *(bins + binindex); | ||
| 1699 | if (binvalue > 0) { | ||
| 1700 | if (nbins == 8) { | ||
| 1701 | printf("Epsilon value is too large.\n"); | ||
| 1702 | break; | ||
| 1703 | } | ||
| 1704 | nearby[nbins++] = binindex; | ||
| 1705 | } | ||
| 1706 | } | ||
| 1707 | } | ||
| 1708 | } | ||
| 1709 | |||
| 1710 | // Check for colocated points in each nearby bin. | ||
| 1711 | for (int b = 0; b < nbins; b++) { | ||
| 1712 | int binindex = nearby[b]; | ||
| 1713 | PAR_SHAPES_T binvalue = bins[binindex]; | ||
| 1714 | PAR_SHAPES_T nindex = binvalue - 1; | ||
| 1715 | assert(nindex < mesh->npoints); | ||
| 1716 | while (true) { | ||
| 1717 | |||
| 1718 | // If this isn't "self" and it's colocated, then weld it! | ||
| 1719 | if (nindex != p && weldmap[nindex] == nindex) { | ||
| 1720 | float const* thatpt = mesh->points + nindex * 3; | ||
| 1721 | float dist2 = par_shapes__sqrdist3(thatpt, pt); | ||
| 1722 | if (dist2 < epsilon) { | ||
| 1723 | weldmap[nindex] = p; | ||
| 1724 | nremoved++; | ||
| 1725 | } | ||
| 1726 | } | ||
| 1727 | |||
| 1728 | // Advance to the next point if possible. | ||
| 1729 | if (++nindex >= mesh->npoints) { | ||
| 1730 | break; | ||
| 1731 | } | ||
| 1732 | |||
| 1733 | // If the next point is outside the bin, then we're done. | ||
| 1734 | float const* nextpt = mesh->points + nindex * 3; | ||
| 1735 | int i = (int) nextpt[0]; | ||
| 1736 | int j = (int) nextpt[1]; | ||
| 1737 | int k = (int) nextpt[2]; | ||
| 1738 | int nextbinindex = i + gridsize * j + gridsize * gridsize * k; | ||
| 1739 | if (nextbinindex != binindex) { | ||
| 1740 | break; | ||
| 1741 | } | ||
| 1742 | } | ||
| 1743 | } | ||
| 1744 | } | ||
| 1745 | PAR_FREE(bins); | ||
| 1746 | |||
| 1747 | // Apply the weldmap to the vertices. | ||
| 1748 | int npoints = mesh->npoints - nremoved; | ||
| 1749 | float* newpts = PAR_MALLOC(float, 3 * npoints); | ||
| 1750 | float* dst = newpts; | ||
| 1751 | PAR_SHAPES_T* condensed_map = PAR_MALLOC(PAR_SHAPES_T, mesh->npoints); | ||
| 1752 | PAR_SHAPES_T* cmap = condensed_map; | ||
| 1753 | float const* src = mesh->points; | ||
| 1754 | int ci = 0; | ||
| 1755 | for (int p = 0; p < mesh->npoints; p++, src += 3) { | ||
| 1756 | if (weldmap[p] == p) { | ||
| 1757 | *dst++ = src[0]; | ||
| 1758 | *dst++ = src[1]; | ||
| 1759 | *dst++ = src[2]; | ||
| 1760 | *cmap++ = ci++; | ||
| 1761 | } else { | ||
| 1762 | *cmap++ = condensed_map[weldmap[p]]; | ||
| 1763 | } | ||
| 1764 | } | ||
| 1765 | assert(ci == npoints); | ||
| 1766 | PAR_FREE(mesh->points); | ||
| 1767 | memcpy(weldmap, condensed_map, mesh->npoints * sizeof(PAR_SHAPES_T)); | ||
| 1768 | PAR_FREE(condensed_map); | ||
| 1769 | mesh->points = newpts; | ||
| 1770 | mesh->npoints = npoints; | ||
| 1771 | |||
| 1772 | // Apply the weldmap to the triangle indices and skip the degenerates. | ||
| 1773 | PAR_SHAPES_T const* tsrc = mesh->triangles; | ||
| 1774 | PAR_SHAPES_T* tdst = mesh->triangles; | ||
| 1775 | int ntriangles = 0; | ||
| 1776 | for (int i = 0; i < mesh->ntriangles; i++, tsrc += 3) { | ||
| 1777 | PAR_SHAPES_T a = weldmap[tsrc[0]]; | ||
| 1778 | PAR_SHAPES_T b = weldmap[tsrc[1]]; | ||
| 1779 | PAR_SHAPES_T c = weldmap[tsrc[2]]; | ||
| 1780 | if (a != b && a != c && b != c) { | ||
| 1781 | assert(a < mesh->npoints); | ||
| 1782 | assert(b < mesh->npoints); | ||
| 1783 | assert(c < mesh->npoints); | ||
| 1784 | *tdst++ = a; | ||
| 1785 | *tdst++ = b; | ||
| 1786 | *tdst++ = c; | ||
| 1787 | ntriangles++; | ||
| 1788 | } | ||
| 1789 | } | ||
| 1790 | mesh->ntriangles = ntriangles; | ||
| 1791 | } | ||
| 1792 | |||
| 1793 | par_shapes_mesh* par_shapes_weld(par_shapes_mesh const* mesh, float epsilon, | ||
| 1794 | PAR_SHAPES_T* weldmap) | ||
| 1795 | { | ||
| 1796 | par_shapes_mesh* clone = par_shapes_clone(mesh, 0); | ||
| 1797 | float aabb[6]; | ||
| 1798 | int gridsize = 20; | ||
| 1799 | float maxcell = gridsize - 1; | ||
| 1800 | par_shapes_compute_aabb(clone, aabb); | ||
| 1801 | float scale[3] = { | ||
| 1802 | aabb[3] == aabb[0] ? 1.0f : maxcell / (aabb[3] - aabb[0]), | ||
| 1803 | aabb[4] == aabb[1] ? 1.0f : maxcell / (aabb[4] - aabb[1]), | ||
| 1804 | aabb[5] == aabb[2] ? 1.0f : maxcell / (aabb[5] - aabb[2]), | ||
| 1805 | }; | ||
| 1806 | par_shapes_translate(clone, -aabb[0], -aabb[1], -aabb[2]); | ||
| 1807 | par_shapes_scale(clone, scale[0], scale[1], scale[2]); | ||
| 1808 | PAR_SHAPES_T* sortmap = PAR_MALLOC(PAR_SHAPES_T, mesh->npoints); | ||
| 1809 | par_shapes__sort_points(clone, gridsize, sortmap); | ||
| 1810 | bool owner = false; | ||
| 1811 | if (!weldmap) { | ||
| 1812 | owner = true; | ||
| 1813 | weldmap = PAR_MALLOC(PAR_SHAPES_T, mesh->npoints); | ||
| 1814 | } | ||
| 1815 | for (int i = 0; i < mesh->npoints; i++) { | ||
| 1816 | weldmap[i] = i; | ||
| 1817 | } | ||
| 1818 | par_shapes__weld_points(clone, gridsize, epsilon, weldmap); | ||
| 1819 | if (owner) { | ||
| 1820 | PAR_FREE(weldmap); | ||
| 1821 | } else { | ||
| 1822 | PAR_SHAPES_T* newmap = PAR_MALLOC(PAR_SHAPES_T, mesh->npoints); | ||
| 1823 | for (int i = 0; i < mesh->npoints; i++) { | ||
| 1824 | newmap[i] = weldmap[sortmap[i]]; | ||
| 1825 | } | ||
| 1826 | memcpy(weldmap, newmap, sizeof(PAR_SHAPES_T) * mesh->npoints); | ||
| 1827 | PAR_FREE(newmap); | ||
| 1828 | } | ||
| 1829 | PAR_FREE(sortmap); | ||
| 1830 | par_shapes_scale(clone, 1.0 / scale[0], 1.0 / scale[1], 1.0 / scale[2]); | ||
| 1831 | par_shapes_translate(clone, aabb[0], aabb[1], aabb[2]); | ||
| 1832 | return clone; | ||
| 1833 | } | ||
| 1834 | |||
| 1835 | // ----------------------------------------------------------------------------- | ||
| 1836 | // BEGIN OPEN SIMPLEX NOISE | ||
| 1837 | // ----------------------------------------------------------------------------- | ||
| 1838 | |||
| 1839 | #define STRETCH_CONSTANT_2D (-0.211324865405187) // (1 / sqrt(2 + 1) - 1 ) / 2; | ||
| 1840 | #define SQUISH_CONSTANT_2D (0.366025403784439) // (sqrt(2 + 1) -1) / 2; | ||
| 1841 | #define STRETCH_CONSTANT_3D (-1.0 / 6.0) // (1 / sqrt(3 + 1) - 1) / 3; | ||
| 1842 | #define SQUISH_CONSTANT_3D (1.0 / 3.0) // (sqrt(3+1)-1)/3; | ||
| 1843 | #define STRETCH_CONSTANT_4D (-0.138196601125011) // (1 / sqrt(4 + 1) - 1) / 4; | ||
| 1844 | #define SQUISH_CONSTANT_4D (0.309016994374947) // (sqrt(4 + 1) - 1) / 4; | ||
| 1845 | |||
| 1846 | #define NORM_CONSTANT_2D (47.0) | ||
| 1847 | #define NORM_CONSTANT_3D (103.0) | ||
| 1848 | #define NORM_CONSTANT_4D (30.0) | ||
| 1849 | |||
| 1850 | #define DEFAULT_SEED (0LL) | ||
| 1851 | |||
| 1852 | struct osn_context { | ||
| 1853 | int16_t* perm; | ||
| 1854 | int16_t* permGradIndex3D; | ||
| 1855 | }; | ||
| 1856 | |||
| 1857 | #define ARRAYSIZE(x) (sizeof((x)) / sizeof((x)[0])) | ||
| 1858 | |||
| 1859 | /* | ||
| 1860 | * Gradients for 2D. They approximate the directions to the | ||
| 1861 | * vertices of an octagon from the center. | ||
| 1862 | */ | ||
| 1863 | static const int8_t gradients2D[] = { | ||
| 1864 | 5, 2, 2, 5, -5, 2, -2, 5, 5, -2, 2, -5, -5, -2, -2, -5, | ||
| 1865 | }; | ||
| 1866 | |||
| 1867 | /* | ||
| 1868 | * Gradients for 3D. They approximate the directions to the | ||
| 1869 | * vertices of a rhombicuboctahedron from the center, skewed so | ||
| 1870 | * that the triangular and square facets can be inscribed inside | ||
| 1871 | * circles of the same radius. | ||
| 1872 | */ | ||
| 1873 | static const signed char gradients3D[] = { | ||
| 1874 | -11, 4, 4, -4, 11, 4, -4, 4, 11, 11, 4, 4, 4, 11, 4, 4, 4, 11, -11, -4, 4, | ||
| 1875 | -4, -11, 4, -4, -4, 11, 11, -4, 4, 4, -11, 4, 4, -4, 11, -11, 4, -4, -4, 11, | ||
| 1876 | -4, -4, 4, -11, 11, 4, -4, 4, 11, -4, 4, 4, -11, -11, -4, -4, -4, -11, -4, | ||
| 1877 | -4, -4, -11, 11, -4, -4, 4, -11, -4, 4, -4, -11, | ||
| 1878 | }; | ||
| 1879 | |||
| 1880 | /* | ||
| 1881 | * Gradients for 4D. They approximate the directions to the | ||
| 1882 | * vertices of a disprismatotesseractihexadecachoron from the center, | ||
| 1883 | * skewed so that the tetrahedral and cubic facets can be inscribed inside | ||
| 1884 | * spheres of the same radius. | ||
| 1885 | */ | ||
| 1886 | static const signed char gradients4D[] = { | ||
| 1887 | 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, -3, 1, 1, 1, -1, 3, 1, 1, | ||
| 1888 | -1, 1, 3, 1, -1, 1, 1, 3, 3, -1, 1, 1, 1, -3, 1, 1, 1, -1, 3, 1, 1, -1, 1, | ||
| 1889 | 3, -3, -1, 1, 1, -1, -3, 1, 1, -1, -1, 3, 1, -1, -1, 1, 3, 3, 1, -1, 1, 1, | ||
| 1890 | 3, -1, 1, 1, 1, -3, 1, 1, 1, -1, 3, -3, 1, -1, 1, -1, 3, -1, 1, -1, 1, -3, | ||
| 1891 | 1, -1, 1, -1, 3, 3, -1, -1, 1, 1, -3, -1, 1, 1, -1, -3, 1, 1, -1, -1, 3, -3, | ||
| 1892 | -1, -1, 1, -1, -3, -1, 1, -1, -1, -3, 1, -1, -1, -1, 3, 3, 1, 1, -1, 1, 3, | ||
| 1893 | 1, -1, 1, 1, 3, -1, 1, 1, 1, -3, -3, 1, 1, -1, -1, 3, 1, -1, -1, 1, 3, -1, | ||
| 1894 | -1, 1, 1, -3, 3, -1, 1, -1, 1, -3, 1, -1, 1, -1, 3, -1, 1, -1, 1, -3, -3, | ||
| 1895 | -1, 1, -1, -1, -3, 1, -1, -1, -1, 3, -1, -1, -1, 1, -3, 3, 1, -1, -1, 1, 3, | ||
| 1896 | -1, -1, 1, 1, -3, -1, 1, 1, -1, -3, -3, 1, -1, -1, -1, 3, -1, -1, -1, 1, -3, | ||
| 1897 | -1, -1, 1, -1, -3, 3, -1, -1, -1, 1, -3, -1, -1, 1, -1, -3, -1, 1, -1, -1, | ||
| 1898 | -3, -3, -1, -1, -1, -1, -3, -1, -1, -1, -1, -3, -1, -1, -1, -1, -3, | ||
| 1899 | }; | ||
| 1900 | |||
| 1901 | static double extrapolate2( | ||
| 1902 | struct osn_context* ctx, int xsb, int ysb, double dx, double dy) | ||
| 1903 | { | ||
| 1904 | int16_t* perm = ctx->perm; | ||
| 1905 | int index = perm[(perm[xsb & 0xFF] + ysb) & 0xFF] & 0x0E; | ||
| 1906 | return gradients2D[index] * dx + gradients2D[index + 1] * dy; | ||
| 1907 | } | ||
| 1908 | |||
| 1909 | static inline int fastFloor(double x) | ||
| 1910 | { | ||
| 1911 | int xi = (int) x; | ||
| 1912 | return x < xi ? xi - 1 : xi; | ||
| 1913 | } | ||
| 1914 | |||
| 1915 | static int allocate_perm(struct osn_context* ctx, int nperm, int ngrad) | ||
| 1916 | { | ||
| 1917 | PAR_FREE(ctx->perm); | ||
| 1918 | PAR_FREE(ctx->permGradIndex3D); | ||
| 1919 | ctx->perm = PAR_MALLOC(int16_t, nperm); | ||
| 1920 | if (!ctx->perm) { | ||
| 1921 | return -ENOMEM; | ||
| 1922 | } | ||
| 1923 | ctx->permGradIndex3D = PAR_MALLOC(int16_t, ngrad); | ||
| 1924 | if (!ctx->permGradIndex3D) { | ||
| 1925 | PAR_FREE(ctx->perm); | ||
| 1926 | return -ENOMEM; | ||
| 1927 | } | ||
| 1928 | return 0; | ||
| 1929 | } | ||
| 1930 | |||
| 1931 | static int par__simplex_noise(int64_t seed, struct osn_context** ctx) | ||
| 1932 | { | ||
| 1933 | int rc; | ||
| 1934 | int16_t source[256]; | ||
| 1935 | int i; | ||
| 1936 | int16_t* perm; | ||
| 1937 | int16_t* permGradIndex3D; | ||
| 1938 | *ctx = PAR_MALLOC(struct osn_context, 1); | ||
| 1939 | if (!(*ctx)) { | ||
| 1940 | return -ENOMEM; | ||
| 1941 | } | ||
| 1942 | (*ctx)->perm = NULL; | ||
| 1943 | (*ctx)->permGradIndex3D = NULL; | ||
| 1944 | rc = allocate_perm(*ctx, 256, 256); | ||
| 1945 | if (rc) { | ||
| 1946 | PAR_FREE(*ctx); | ||
| 1947 | return rc; | ||
| 1948 | } | ||
| 1949 | perm = (*ctx)->perm; | ||
| 1950 | permGradIndex3D = (*ctx)->permGradIndex3D; | ||
| 1951 | for (i = 0; i < 256; i++) { | ||
| 1952 | source[i] = (int16_t) i; | ||
| 1953 | } | ||
| 1954 | seed = seed * 6364136223846793005LL + 1442695040888963407LL; | ||
| 1955 | seed = seed * 6364136223846793005LL + 1442695040888963407LL; | ||
| 1956 | seed = seed * 6364136223846793005LL + 1442695040888963407LL; | ||
| 1957 | for (i = 255; i >= 0; i--) { | ||
| 1958 | seed = seed * 6364136223846793005LL + 1442695040888963407LL; | ||
| 1959 | int r = (int) ((seed + 31) % (i + 1)); | ||
| 1960 | if (r < 0) | ||
| 1961 | r += (i + 1); | ||
| 1962 | perm[i] = source[r]; | ||
| 1963 | permGradIndex3D[i] = | ||
| 1964 | (short) ((perm[i] % (ARRAYSIZE(gradients3D) / 3)) * 3); | ||
| 1965 | source[r] = source[i]; | ||
| 1966 | } | ||
| 1967 | return 0; | ||
| 1968 | } | ||
| 1969 | |||
| 1970 | static void par__simplex_noise_free(struct osn_context* ctx) | ||
| 1971 | { | ||
| 1972 | if (!ctx) | ||
| 1973 | return; | ||
| 1974 | if (ctx->perm) { | ||
| 1975 | PAR_FREE(ctx->perm); | ||
| 1976 | ctx->perm = NULL; | ||
| 1977 | } | ||
| 1978 | if (ctx->permGradIndex3D) { | ||
| 1979 | PAR_FREE(ctx->permGradIndex3D); | ||
| 1980 | ctx->permGradIndex3D = NULL; | ||
| 1981 | } | ||
| 1982 | PAR_FREE(ctx); | ||
| 1983 | } | ||
| 1984 | |||
| 1985 | static double par__simplex_noise2(struct osn_context* ctx, double x, double y) | ||
| 1986 | { | ||
| 1987 | // Place input coordinates onto grid. | ||
| 1988 | double stretchOffset = (x + y) * STRETCH_CONSTANT_2D; | ||
| 1989 | double xs = x + stretchOffset; | ||
| 1990 | double ys = y + stretchOffset; | ||
| 1991 | |||
| 1992 | // Floor to get grid coordinates of rhombus (stretched square) super-cell | ||
| 1993 | // origin. | ||
| 1994 | int xsb = fastFloor(xs); | ||
| 1995 | int ysb = fastFloor(ys); | ||
| 1996 | |||
| 1997 | // Skew out to get actual coordinates of rhombus origin. We'll need these | ||
| 1998 | // later. | ||
| 1999 | double squishOffset = (xsb + ysb) * SQUISH_CONSTANT_2D; | ||
| 2000 | double xb = xsb + squishOffset; | ||
| 2001 | double yb = ysb + squishOffset; | ||
| 2002 | |||
| 2003 | // Compute grid coordinates relative to rhombus origin. | ||
| 2004 | double xins = xs - xsb; | ||
| 2005 | double yins = ys - ysb; | ||
| 2006 | |||
| 2007 | // Sum those together to get a value that determines which region we're in. | ||
| 2008 | double inSum = xins + yins; | ||
| 2009 | |||
| 2010 | // Positions relative to origin point. | ||
| 2011 | double dx0 = x - xb; | ||
| 2012 | double dy0 = y - yb; | ||
| 2013 | |||
| 2014 | // We'll be defining these inside the next block and using them afterwards. | ||
| 2015 | double dx_ext, dy_ext; | ||
| 2016 | int xsv_ext, ysv_ext; | ||
| 2017 | |||
| 2018 | double value = 0; | ||
| 2019 | |||
| 2020 | // Contribution (1,0) | ||
| 2021 | double dx1 = dx0 - 1 - SQUISH_CONSTANT_2D; | ||
| 2022 | double dy1 = dy0 - 0 - SQUISH_CONSTANT_2D; | ||
| 2023 | double attn1 = 2 - dx1 * dx1 - dy1 * dy1; | ||
| 2024 | if (attn1 > 0) { | ||
| 2025 | attn1 *= attn1; | ||
| 2026 | value += attn1 * attn1 * extrapolate2(ctx, xsb + 1, ysb + 0, dx1, dy1); | ||
| 2027 | } | ||
| 2028 | |||
| 2029 | // Contribution (0,1) | ||
| 2030 | double dx2 = dx0 - 0 - SQUISH_CONSTANT_2D; | ||
| 2031 | double dy2 = dy0 - 1 - SQUISH_CONSTANT_2D; | ||
| 2032 | double attn2 = 2 - dx2 * dx2 - dy2 * dy2; | ||
| 2033 | if (attn2 > 0) { | ||
| 2034 | attn2 *= attn2; | ||
| 2035 | value += attn2 * attn2 * extrapolate2(ctx, xsb + 0, ysb + 1, dx2, dy2); | ||
| 2036 | } | ||
| 2037 | |||
| 2038 | if (inSum <= 1) { // We're inside the triangle (2-Simplex) at (0,0) | ||
| 2039 | double zins = 1 - inSum; | ||
| 2040 | if (zins > xins || zins > yins) { | ||
| 2041 | if (xins > yins) { | ||
| 2042 | xsv_ext = xsb + 1; | ||
| 2043 | ysv_ext = ysb - 1; | ||
| 2044 | dx_ext = dx0 - 1; | ||
| 2045 | dy_ext = dy0 + 1; | ||
| 2046 | } else { | ||
| 2047 | xsv_ext = xsb - 1; | ||
| 2048 | ysv_ext = ysb + 1; | ||
| 2049 | dx_ext = dx0 + 1; | ||
| 2050 | dy_ext = dy0 - 1; | ||
| 2051 | } | ||
| 2052 | } else { //(1,0) and (0,1) are the closest two vertices. | ||
| 2053 | xsv_ext = xsb + 1; | ||
| 2054 | ysv_ext = ysb + 1; | ||
| 2055 | dx_ext = dx0 - 1 - 2 * SQUISH_CONSTANT_2D; | ||
| 2056 | dy_ext = dy0 - 1 - 2 * SQUISH_CONSTANT_2D; | ||
| 2057 | } | ||
| 2058 | } else { // We're inside the triangle (2-Simplex) at (1,1) | ||
| 2059 | double zins = 2 - inSum; | ||
| 2060 | if (zins < xins || zins < yins) { | ||
| 2061 | if (xins > yins) { | ||
| 2062 | xsv_ext = xsb + 2; | ||
| 2063 | ysv_ext = ysb + 0; | ||
| 2064 | dx_ext = dx0 - 2 - 2 * SQUISH_CONSTANT_2D; | ||
| 2065 | dy_ext = dy0 + 0 - 2 * SQUISH_CONSTANT_2D; | ||
| 2066 | } else { | ||
| 2067 | xsv_ext = xsb + 0; | ||
| 2068 | ysv_ext = ysb + 2; | ||
| 2069 | dx_ext = dx0 + 0 - 2 * SQUISH_CONSTANT_2D; | ||
| 2070 | dy_ext = dy0 - 2 - 2 * SQUISH_CONSTANT_2D; | ||
| 2071 | } | ||
| 2072 | } else { //(1,0) and (0,1) are the closest two vertices. | ||
| 2073 | dx_ext = dx0; | ||
| 2074 | dy_ext = dy0; | ||
| 2075 | xsv_ext = xsb; | ||
| 2076 | ysv_ext = ysb; | ||
| 2077 | } | ||
| 2078 | xsb += 1; | ||
| 2079 | ysb += 1; | ||
| 2080 | dx0 = dx0 - 1 - 2 * SQUISH_CONSTANT_2D; | ||
| 2081 | dy0 = dy0 - 1 - 2 * SQUISH_CONSTANT_2D; | ||
| 2082 | } | ||
| 2083 | |||
| 2084 | // Contribution (0,0) or (1,1) | ||
| 2085 | double attn0 = 2 - dx0 * dx0 - dy0 * dy0; | ||
| 2086 | if (attn0 > 0) { | ||
| 2087 | attn0 *= attn0; | ||
| 2088 | value += attn0 * attn0 * extrapolate2(ctx, xsb, ysb, dx0, dy0); | ||
| 2089 | } | ||
| 2090 | |||
| 2091 | // Extra Vertex | ||
| 2092 | double attn_ext = 2 - dx_ext * dx_ext - dy_ext * dy_ext; | ||
| 2093 | if (attn_ext > 0) { | ||
| 2094 | attn_ext *= attn_ext; | ||
| 2095 | value += attn_ext * attn_ext * | ||
| 2096 | extrapolate2(ctx, xsv_ext, ysv_ext, dx_ext, dy_ext); | ||
| 2097 | } | ||
| 2098 | |||
| 2099 | return value / NORM_CONSTANT_2D; | ||
| 2100 | } | ||
| 2101 | |||
| 2102 | void par_shapes_remove_degenerate(par_shapes_mesh* mesh, float mintriarea) | ||
| 2103 | { | ||
| 2104 | int ntriangles = 0; | ||
| 2105 | PAR_SHAPES_T* triangles = PAR_MALLOC(PAR_SHAPES_T, mesh->ntriangles * 3); | ||
| 2106 | PAR_SHAPES_T* dst = triangles; | ||
| 2107 | PAR_SHAPES_T const* src = mesh->triangles; | ||
| 2108 | float next[3], prev[3], cp[3]; | ||
| 2109 | float mincplen2 = (mintriarea * 2) * (mintriarea * 2); | ||
| 2110 | for (int f = 0; f < mesh->ntriangles; f++, src += 3) { | ||
| 2111 | float const* pa = mesh->points + 3 * src[0]; | ||
| 2112 | float const* pb = mesh->points + 3 * src[1]; | ||
| 2113 | float const* pc = mesh->points + 3 * src[2]; | ||
| 2114 | par_shapes__copy3(next, pb); | ||
| 2115 | par_shapes__subtract3(next, pa); | ||
| 2116 | par_shapes__copy3(prev, pc); | ||
| 2117 | par_shapes__subtract3(prev, pa); | ||
| 2118 | par_shapes__cross3(cp, next, prev); | ||
| 2119 | float cplen2 = par_shapes__dot3(cp, cp); | ||
| 2120 | if (cplen2 >= mincplen2) { | ||
| 2121 | *dst++ = src[0]; | ||
| 2122 | *dst++ = src[1]; | ||
| 2123 | *dst++ = src[2]; | ||
| 2124 | ntriangles++; | ||
| 2125 | } | ||
| 2126 | } | ||
| 2127 | mesh->ntriangles = ntriangles; | ||
| 2128 | PAR_FREE(mesh->triangles); | ||
| 2129 | mesh->triangles = triangles; | ||
| 2130 | } | ||
| 2131 | |||
| 2132 | #endif // PAR_SHAPES_IMPLEMENTATION | ||
| 2133 | #endif // PAR_SHAPES_H | ||
| 2134 | |||
| 2135 | // par_shapes is distributed under the MIT license: | ||
| 2136 | // | ||
| 2137 | // Copyright (c) 2019 Philip Rideout | ||
| 2138 | // | ||
| 2139 | // Permission is hereby granted, free of charge, to any person obtaining a copy | ||
| 2140 | // of this software and associated documentation files (the "Software"), to deal | ||
| 2141 | // in the Software without restriction, including without limitation the rights | ||
| 2142 | // to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
| 2143 | // copies of the Software, and to permit persons to whom the Software is | ||
| 2144 | // furnished to do so, subject to the following conditions: | ||
| 2145 | // | ||
| 2146 | // The above copyright notice and this permission notice shall be included in | ||
| 2147 | // all copies or substantial portions of the Software. | ||
| 2148 | // | ||
| 2149 | // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
| 2150 | // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
| 2151 | // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
| 2152 | // AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
| 2153 | // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
| 2154 | // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
| 2155 | // SOFTWARE. | ||
