| … | |
… | |
| 226 | }; |
226 | }; |
| 227 | |
227 | |
| 228 | ///////////////////////////////////////////////////////////////////////////// |
228 | ///////////////////////////////////////////////////////////////////////////// |
| 229 | |
229 | |
| 230 | template<int N, typename T> |
230 | template<int N, typename T> |
| 231 | template<class random_generator> |
|
|
| 232 | void |
231 | void |
| 233 | permutation<N,T>::seed (random_generator &rng) |
232 | permutation<N,T>::seed (seedable_rand_gen &rng) |
| 234 | { |
233 | { |
| 235 | for (int i = 0; i < N; ++i) |
234 | for (int i = 0; i < N; ++i) |
| 236 | pmap[i] = i; |
235 | pmap[i] = i; |
| 237 | |
236 | |
| 238 | // fisher-yates to randomly perturb |
237 | // fisher-yates to randomly perturb |
| … | |
… | |
| 242 | |
241 | |
| 243 | template class permutation<256, uint8_t>; |
242 | template class permutation<256, uint8_t>; |
| 244 | |
243 | |
| 245 | ///////////////////////////////////////////////////////////////////////////// |
244 | ///////////////////////////////////////////////////////////////////////////// |
| 246 | |
245 | |
| 247 | static vec2d |
246 | template<class vec_t> |
| 248 | floor (vec2d v) |
247 | void |
|
|
248 | noise_gen_base<vec_t>::seed (seedable_rand_gen &rng) |
| 249 | { |
249 | { |
| 250 | return vec2d (std::floor (v[0]), std::floor (v[1])); |
250 | for (int i = 0; i < array_length (rvmap); ++i) |
|
|
251 | rvmap[i].seed (rng); |
| 251 | } |
252 | } |
| 252 | |
253 | |
| 253 | static vec3d |
254 | template<class vec_t> |
| 254 | floor (vec3d v) |
255 | void |
| 255 | { |
256 | noise_gen_base<vec_t>::seed (seed_t seed) |
| 256 | return vec3d (std::floor (v[0]), std::floor (v[1]), std::floor (v[2])); |
|
|
| 257 | } |
|
|
| 258 | |
|
|
| 259 | noise_gen<vec2d>::noise_gen (uint32_t seed) |
|
|
| 260 | { |
257 | { |
| 261 | seedable_rand_gen rng (seed); |
258 | seedable_rand_gen rng (seed); |
| 262 | |
259 | |
| 263 | rvmap[0].seed (rng); |
260 | this->seed (rng); |
| 264 | rvmap[1].seed (rng); |
|
|
| 265 | } |
261 | } |
| 266 | |
262 | |
|
|
263 | template<> |
| 267 | vec2d::T_numtype |
264 | vec2d::T_numtype |
| 268 | noise_gen<vec2d>::operator() (vec2d P) |
265 | noise_gen_base<vec2d>::operator() (vec2d P, uint32_t seed) |
| 269 | { |
266 | { |
| 270 | vec2d I = floor (P); |
267 | vec2d I = floor (P); |
| 271 | vec2d F = P - I; |
268 | vec2d F = P - I; |
| 272 | |
269 | |
| 273 | float v = 0; |
270 | value_t v = 0; |
|
|
271 | |
|
|
272 | seed *= 3039177861; |
|
|
273 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
|
|
274 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
|
|
275 | |
|
|
276 | uint8_t h2 = rvmap[2](seed); |
| 274 | |
277 | |
| 275 | for (int j = -1; j <= 2; ++j) |
278 | for (int j = -1; j <= 2; ++j) |
|
|
279 | { |
|
|
280 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
|
|
281 | |
| 276 | for (int i = -1; i <= 2; ++i) |
282 | for (int i = -1; i <= 2; ++i) |
| 277 | { |
283 | { |
| 278 | vec2d A = F - vec2d (i, j); |
284 | vec2d A = F - vec2d (i, j); |
| 279 | |
|
|
| 280 | float d = dot (A, A); |
285 | value_t d = dot (A, A); |
| 281 | |
286 | |
| 282 | if (d < 4) |
287 | if (d < 4) |
| 283 | { |
288 | { |
| 284 | float t1 = 1 - d / 4; |
289 | value_t t1 = 1 - d / 4; |
| 285 | float t2 = t1 * t1; |
290 | value_t t2 = t1 * t1; |
| 286 | float t4 = t2 * t2; |
291 | value_t t4 = t2 * t2; |
| 287 | |
292 | |
| 288 | float p = (4 * t1 - 3) * t4; |
293 | value_t p = (4 * t1 - 3) * t4; |
| 289 | |
294 | |
| 290 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j); |
295 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
| 291 | vec2d G = charges2[h & 0xff]; |
296 | vec2d G = charges2[h & 0xff]; |
| 292 | |
297 | |
| 293 | v += dot (A, G) * p; |
298 | v += dot (A, G) * p; |
| 294 | } |
299 | } |
| 295 | } |
300 | } |
|
|
301 | } |
| 296 | |
302 | |
| 297 | return clamp (v, -.9999999, .9999999); |
303 | return v; |
| 298 | } |
304 | } |
| 299 | |
305 | |
| 300 | ///////////////////////////////////////////////////////////////////////////// |
306 | ///////////////////////////////////////////////////////////////////////////// |
| 301 | |
307 | |
| 302 | noise_gen<vec3d>::noise_gen (uint32_t seed) |
308 | template<> |
| 303 | { |
|
|
| 304 | seedable_rand_gen rng (seed); |
|
|
| 305 | |
|
|
| 306 | rvmap [0].seed (rng); |
|
|
| 307 | rvmap [1].seed (rng); |
|
|
| 308 | rvmap [2].seed (rng); |
|
|
| 309 | } |
|
|
| 310 | |
|
|
| 311 | vec3d::T_numtype |
309 | vec3d::T_numtype |
| 312 | noise_gen<vec3d>::operator() (vec3d P) |
310 | noise_gen_base<vec3d>::operator() (vec3d P, uint32_t seed) |
| 313 | { |
311 | { |
| 314 | vec3d I = floor (P); |
312 | vec3d I = floor (P); |
| 315 | vec3d F = P - I; |
313 | vec3d F = P - I; |
| 316 | |
314 | |
| 317 | float v = 0; |
315 | seed *= 3039177861; |
|
|
316 | uint8_t i2 = uint8_t (I[2]) + (seed >> 24); |
|
|
317 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
|
|
318 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
| 318 | |
319 | |
| 319 | for (int j = -1; j <= 2; ++j) |
320 | uint8_t h3 = rvmap[3](seed); |
| 320 | for (int i = -1; i <= 2; ++i) |
321 | |
|
|
322 | value_t v = 0; |
|
|
323 | |
| 321 | for (int k = -1; k <= 2; ++k) |
324 | for (int k = -1; k <= 2; ++k) |
|
|
325 | { |
|
|
326 | uint8_t h2 = rvmap[2](i2 + k) ^ h3; |
|
|
327 | |
|
|
328 | for (int j = -1; j <= 2; ++j) |
| 322 | { |
329 | { |
| 323 | vec3d A = F - vec3d (i, j, k); |
330 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
| 324 | float d = dot (A, A); |
|
|
| 325 | |
331 | |
| 326 | if (d < 4) |
332 | for (int i = -1; i <= 2; ++i) |
| 327 | { |
333 | { |
| 328 | float t1 = 1 - d / 4; |
|
|
| 329 | float t2 = t1 * t1; |
|
|
| 330 | float t4 = t2 * t2; |
|
|
| 331 | |
|
|
| 332 | // (4t⁵ - 3t⁴) |
|
|
| 333 | float p = (4 * t1 - 3) * t4; |
|
|
| 334 | |
|
|
| 335 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
|
|
| 336 | const float *G = charges3[h & 0xff]; |
|
|
| 337 | |
|
|
| 338 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
|
|
| 339 | } |
|
|
| 340 | } |
|
|
| 341 | |
|
|
| 342 | return clamp (v * 2, -.9999999, .9999999); |
|
|
| 343 | } |
|
|
| 344 | |
|
|
| 345 | vec3d::T_numtype |
|
|
| 346 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
|
|
| 347 | { |
|
|
| 348 | vec3d I = floor (P); |
|
|
| 349 | vec3d F = P - I; |
|
|
| 350 | |
|
|
| 351 | float v = 0; |
|
|
| 352 | |
|
|
| 353 | for (int j = -1; j <= 2; ++j) |
|
|
| 354 | for (int i = -1; i <= 2; ++i) |
|
|
| 355 | for (int k = -1; k <= 2; ++k) |
|
|
| 356 | { |
|
|
| 357 | vec3d D = F - vec3d (i, j, k); |
334 | vec3d A = F - vec3d (i, j, k); |
| 358 | float e = dot (D, N); |
|
|
| 359 | float o = 1 - abs (e); |
|
|
| 360 | |
|
|
| 361 | if (o > 0) |
|
|
| 362 | { |
|
|
| 363 | vec3d A = D - e * N; |
|
|
| 364 | float d = dot (A, A); |
335 | value_t d = dot (A, A); |
| 365 | |
336 | |
| 366 | if (d < 4) |
337 | if (d < 4) |
| 367 | { |
338 | { |
| 368 | float t1 = 1 - d / 4; |
339 | value_t t1 = 1 - d / 4; |
| 369 | float t2 = t1 * t1; |
340 | value_t t2 = t1 * t1; |
| 370 | float t4 = t2 * t2; |
341 | value_t t4 = t2 * t2; |
| 371 | |
342 | |
| 372 | float o2 = o * o; |
|
|
| 373 | |
|
|
| 374 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
343 | // (4t⁵ - 3t⁴) |
| 375 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
344 | value_t p = (4 * t1 - 3) * t4; |
| 376 | float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
|
|
| 377 | |
345 | |
| 378 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
346 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
| 379 | const float *G = charges3[h & 0xff]; |
347 | const value_t *G = charges3[h & 0xff]; |
| 380 | |
348 | |
| 381 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
349 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
| 382 | } |
350 | } |
| 383 | } |
351 | } |
| 384 | } |
352 | } |
|
|
353 | } |
| 385 | |
354 | |
| 386 | return clamp (v, -.9999999, .9999999); |
355 | return v * 2; |
|
|
356 | } |
|
|
357 | |
|
|
358 | vec3d::T_numtype |
|
|
359 | noise_gen<vec3d>::operator() (vec3d P, vec3d N, uint32_t seed) |
|
|
360 | { |
|
|
361 | vec3d I = floor (P); |
|
|
362 | vec3d F = P - I; |
|
|
363 | |
|
|
364 | seed *= 3039177861; |
|
|
365 | uint8_t i2 = uint8_t (I[2]) + (seed >> 24); |
|
|
366 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
|
|
367 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
|
|
368 | |
|
|
369 | uint8_t h3 = rvmap[3](seed); |
|
|
370 | |
|
|
371 | value_t v = 0; |
|
|
372 | |
|
|
373 | for (int k = -1; k <= 2; ++k) |
|
|
374 | { |
|
|
375 | uint8_t h2 = rvmap[2](i2 + k) ^ h3; |
|
|
376 | |
|
|
377 | for (int j = -1; j <= 2; ++j) |
|
|
378 | { |
|
|
379 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
|
|
380 | |
|
|
381 | for (int i = -1; i <= 2; ++i) |
|
|
382 | { |
|
|
383 | vec3d D = F - vec3d (i, j, k); |
|
|
384 | value_t e = dot (D, N); |
|
|
385 | value_t o = 1 - abs (e); |
|
|
386 | |
|
|
387 | if (o > 0) |
|
|
388 | { |
|
|
389 | vec3d A = D - e * N; |
|
|
390 | value_t d = dot (A, A); |
|
|
391 | |
|
|
392 | if (d < 4) |
|
|
393 | { |
|
|
394 | value_t t1 = 1 - d / 4; |
|
|
395 | value_t t2 = t1 * t1; |
|
|
396 | value_t t4 = t2 * t2; |
|
|
397 | |
|
|
398 | value_t o2 = o * o; |
|
|
399 | |
|
|
400 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
|
|
401 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
|
|
402 | value_t p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
|
|
403 | |
|
|
404 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
|
|
405 | const value_t *G = charges3[h & 0xff]; |
|
|
406 | |
|
|
407 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
|
|
408 | } |
|
|
409 | } |
|
|
410 | } |
|
|
411 | } |
|
|
412 | } |
|
|
413 | |
|
|
414 | return v; |
| 387 | } |
415 | } |
| 388 | |
416 | |
| 389 | template class noise_gen<vec2d>; |
417 | template class noise_gen<vec2d>; |
| 390 | template class noise_gen<vec3d>; |
418 | template class noise_gen<vec3d>; |
| 391 | |
419 | |
| 392 | ///////////////////////////////////////////////////////////////////////////// |
420 | ///////////////////////////////////////////////////////////////////////////// |
| 393 | |
421 | |
| 394 | // find some uncorrelated spot - we assume that noise 2 units away |
|
|
| 395 | // is completely uncorrelated - this is not true for other coordinates, |
|
|
| 396 | // but generally works well. |
|
|
| 397 | template<class vec_t> |
422 | template<class vec_t> |
| 398 | static vec_t |
423 | frac_gen<vec_t>::frac_gen (int octaves, value_t lacunarity, value_t hurst_expo, seed_t seed) |
| 399 | ith_octave (vec_t P, int i) |
424 | : octaves (octaves), lac (lacunarity), h (hurst_expo) |
| 400 | { |
425 | { |
| 401 | vec_t r = P; |
426 | this->seed (seed); |
| 402 | r[0] += i; |
|
|
| 403 | r[1] += i * 2; |
|
|
| 404 | return r; |
|
|
| 405 | } |
|
|
| 406 | |
427 | |
| 407 | template<class vec_t> |
|
|
| 408 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity) |
|
|
| 409 | : h (hurst_expo), lac (lacunarity), noise_gen<vec_t> (0) |
|
|
| 410 | { |
|
|
| 411 | value_t exsum = 0; |
428 | value_t exsum = 0; |
| 412 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
429 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
| 413 | |
430 | |
| 414 | for (int i = 0; i < MAX_OCTAVES; ++i) |
431 | for (int i = 0; i < octaves; ++i) |
| 415 | { |
432 | { |
| 416 | ex [i] = pow (lac, -h * i); |
433 | ex [i] = pow (lac, -h * i); |
| 417 | exsum += ex [i]; |
434 | exsum += ex [i]; |
| 418 | fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
435 | fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
| 419 | rot [i].set (phi * i + 1); |
436 | rot [i].set (phi * i + 1); |
| 420 | } |
437 | } |
| 421 | } |
438 | } |
| 422 | |
439 | |
| 423 | template<class vec_t> |
440 | template<class vec_t> |
| 424 | typename frac_gen<vec_t>::value_t |
441 | typename frac_gen<vec_t>::value_t |
| 425 | frac_gen<vec_t>::fBm (vec_t P, int octaves) |
442 | frac_gen<vec_t>::fBm (vec_t P) |
| 426 | { |
443 | { |
| 427 | value_t v = 0; |
444 | value_t v = 0; |
| 428 | |
445 | |
| 429 | for (int i = 0; i < octaves; ++i) |
446 | for (int i = 0; i < octaves; ++i) |
| 430 | { |
447 | { |
| 431 | rot [i](P); |
448 | rot [i](P); |
| 432 | v += noise (ith_octave (P, i)) * ex [i]; |
449 | v += noise (P, i) * ex [i]; |
| 433 | P *= lac; |
450 | P *= lac; |
| 434 | } |
451 | } |
| 435 | |
452 | |
| 436 | return clamp<value_t> (v * fbm_mul [octaves - 1] + 0.5, 0, .9999999); |
453 | return v * fbm_mul [octaves - 1]; |
| 437 | } |
454 | } |
| 438 | |
455 | |
| 439 | template<class vec_t> |
456 | template<class vec_t> |
| 440 | typename frac_gen<vec_t>::value_t |
457 | typename frac_gen<vec_t>::value_t |
| 441 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
458 | frac_gen<vec_t>::turbulence (vec_t P) |
| 442 | { |
459 | { |
| 443 | value_t v = 0; |
460 | value_t v = 0; |
| 444 | |
461 | |
| 445 | for (int i = 0; i < octaves; ++i) |
462 | for (int i = 0; i < octaves; ++i) |
| 446 | { |
463 | { |
| 447 | rot [i](P); |
464 | rot [i](P); |
| 448 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
465 | v += abs (noise (P, i)) * ex [i]; |
| 449 | P *= lac; |
466 | P *= lac; |
| 450 | } |
467 | } |
| 451 | |
468 | |
| 452 | return clamp<value_t> (v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()), 0, .9999999); |
469 | return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
| 453 | } |
470 | } |
| 454 | |
471 | |
| 455 | template<class vec_t> |
472 | template<class vec_t> |
| 456 | typename frac_gen<vec_t>::value_t |
473 | typename frac_gen<vec_t>::value_t |
| 457 | frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
474 | frac_gen<vec_t>::multifractal (vec_t P, value_t offset) |
| 458 | { |
475 | { |
| 459 | value_t v = 1; |
476 | value_t v = 1; |
| 460 | |
477 | |
| 461 | for (int i = 0; i < octaves; ++i) |
478 | for (int i = 0; i < octaves; ++i) |
| 462 | { |
479 | { |
| 463 | rot [i](P); |
480 | rot [i](P); |
| 464 | v *= noise (P) * ex [i] + offset; |
481 | v *= noise (P) * ex [i] + offset; |
| 465 | P *= lac; |
482 | P *= lac; |
| 466 | } |
483 | } |
| 467 | |
484 | |
| 468 | return clamp<value_t> (v * 0.5, 0, .9999999); |
485 | return v * value_t (0.5); |
| 469 | } |
486 | } |
| 470 | |
487 | |
| 471 | template<class vec_t> |
488 | template<class vec_t> |
| 472 | typename frac_gen<vec_t>::value_t |
489 | typename frac_gen<vec_t>::value_t |
| 473 | frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
490 | frac_gen<vec_t>::heterofractal (vec_t P, value_t offset) |
| 474 | { |
491 | { |
| 475 | value_t v = noise (P) + offset; |
492 | value_t v = noise (P) + offset; |
| 476 | |
493 | |
| 477 | for (int i = 1; i < octaves; ++i) |
494 | for (int i = 1; i < octaves; ++i) |
| 478 | { |
495 | { |
| … | |
… | |
| 484 | return v / (1 << octaves); |
501 | return v / (1 << octaves); |
| 485 | } |
502 | } |
| 486 | |
503 | |
| 487 | template<class vec_t> |
504 | template<class vec_t> |
| 488 | typename frac_gen<vec_t>::value_t |
505 | typename frac_gen<vec_t>::value_t |
| 489 | frac_gen<vec_t>::hybridfractal (vec_t P, int octaves, value_t offset, value_t gain) |
506 | frac_gen<vec_t>::hybridfractal (vec_t P, value_t offset, value_t gain) |
| 490 | { |
507 | { |
| 491 | value_t v = (noise (P) + offset) * ex [0]; |
508 | value_t v = (noise (P) + offset) * ex [0]; |
| 492 | value_t weight = v; |
509 | value_t weight = v; |
| 493 | |
510 | |
| 494 | for (int i = 1; i < octaves; ++i) |
511 | for (int i = 1; i < octaves; ++i) |
| … | |
… | |
| 501 | value_t sig = (noise (P) + offset) * ex [i]; |
518 | value_t sig = (noise (P) + offset) * ex [i]; |
| 502 | v += weight * sig; |
519 | v += weight * sig; |
| 503 | weight *= gain * sig; |
520 | weight *= gain * sig; |
| 504 | } |
521 | } |
| 505 | |
522 | |
| 506 | return clamp<value_t> (v * 0.5 + 0.5, 0, .9999999); |
523 | return v * value_t (0.5) + value_t (0.5); |
| 507 | } |
524 | } |
| 508 | |
525 | |
| 509 | template<class vec_t> |
526 | template<class vec_t> |
| 510 | typename frac_gen<vec_t>::value_t |
527 | typename frac_gen<vec_t>::value_t |
| 511 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
528 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, value_t offset, value_t gain) |
| 512 | { |
529 | { |
| 513 | value_t sig = offset - abs (noise (P)); |
530 | value_t sig = offset - abs (noise (P)); |
| 514 | sig *= sig; |
531 | sig *= sig; |
| 515 | value_t v = sig; |
532 | value_t v = sig; |
| 516 | |
533 | |
| 517 | for (int i = 1; i < octaves; ++i) |
534 | for (int i = 1; i < octaves; ++i) |
| 518 | { |
535 | { |
| 519 | rot [i](P); |
536 | rot [i](P); |
| 520 | P *= lac; |
537 | P *= lac; |
| 521 | |
538 | |
|
|
539 | // weight higher octaves by previous signal |
| 522 | value_t w = clamp (sig * gain, 0, 1); |
540 | value_t w = clamp (sig * gain, 0, 1); |
| 523 | |
541 | |
| 524 | sig = offset - abs (noise (P)); |
542 | sig = offset - abs (noise (P)); |
| 525 | sig *= sig; |
543 | sig *= sig; |
| 526 | sig *= w; |
544 | sig *= w; |
| 527 | |
545 | |
| 528 | v += sig * ex [i]; |
546 | v += sig * ex [i]; |
| 529 | } |
547 | } |
| 530 | |
548 | |
| 531 | return clamp<value_t> (v * 0.25, 0, .9999999); |
549 | return v * value_t (0.25); |
| 532 | } |
550 | } |
| 533 | |
551 | |
| 534 | template<class vec_t> |
552 | template<class vec_t> |
| 535 | typename frac_gen<vec_t>::value_t |
553 | typename frac_gen<vec_t>::value_t |
| 536 | frac_gen<vec_t>::billowfractal (vec_t P, int octaves, value_t offset, value_t gain) |
554 | frac_gen<vec_t>::billowfractal (vec_t P, value_t offset, value_t gain) |
| 537 | { |
555 | { |
| 538 | value_t v = 0; |
556 | value_t v = 0; |
| 539 | |
557 | |
| 540 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
558 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
| 541 | |
559 | |
| 542 | for (int i = 0; i < octaves; ++i) |
560 | for (int i = 0; i < octaves; ++i) |
| 543 | { |
561 | { |
| 544 | rot [i](P); |
562 | rot [i](P); |
| 545 | v += (abs (noise (ith_octave (P, i))) * gain - offset) * ex [i]; |
563 | v += (abs (noise (P, i)) * gain - offset) * ex [i]; |
| 546 | P *= lac; |
564 | P *= lac; |
| 547 | } |
565 | } |
| 548 | |
566 | |
| 549 | return clamp<value_t> (v, -.9999999, .9999999); |
567 | return v; |
| 550 | } |
568 | } |
| 551 | |
569 | |
| 552 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
570 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
| 553 | template<class vec_t> |
571 | template<class vec_t> |
| 554 | typename frac_gen<vec_t>::value_t |
572 | typename frac_gen<vec_t>::value_t |
| 555 | frac_gen<vec_t>::terrain (vec_t P, int octaves) |
573 | frac_gen<vec_t>::terrain (vec_t P) |
| 556 | { |
574 | { |
| 557 | value_t v = 0; |
575 | value_t v = 0; |
| 558 | |
576 | |
| 559 | for (int i = 0; i < octaves; ++i) |
577 | for (int i = 0; i < octaves; ++i) |
| 560 | { |
578 | { |
| … | |
… | |
| 568 | return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
586 | return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
| 569 | } |
587 | } |
| 570 | |
588 | |
| 571 | template<class vec_t> |
589 | template<class vec_t> |
| 572 | typename frac_gen<vec_t>::value_t |
590 | typename frac_gen<vec_t>::value_t |
| 573 | frac_gen<vec_t>::terrain2 (vec_t P, int octaves) |
591 | frac_gen<vec_t>::terrain2 (vec_t P) |
| 574 | { |
592 | { |
| 575 | value_t a = fBm (P, octaves); |
593 | value_t a = fBm (P); |
| 576 | value_t b = ridgedmultifractal (P, octaves, 1, 8); |
594 | value_t b = ridgedmultifractal (P, 1, 8); |
| 577 | value_t fade = fBm (P + vec_t(10.3), octaves); |
595 | value_t fade = fBm (P + vec_t(10.3)); |
| 578 | |
596 | |
| 579 | const value_t width = 0.05; |
597 | const value_t width = 0.05; |
| 580 | |
598 | |
| 581 | if (fade > 0.5 + width) |
599 | if (fade > 0.5 + width) |
| 582 | return a; |
600 | return a; |
| … | |
… | |
| 592 | } |
610 | } |
| 593 | |
611 | |
| 594 | template class frac_gen<vec2d>; |
612 | template class frac_gen<vec2d>; |
| 595 | template class frac_gen<vec3d>; |
613 | template class frac_gen<vec3d>; |
| 596 | |
614 | |
| 597 | ///////////////////////////////////////////////////////////////////////////// |
|
|
| 598 | |
|
|
| 599 | void noise_test (); |
|
|
| 600 | void noise_test () |
|
|
| 601 | { |
|
|
| 602 | frac_gen<vec2d> gen (0.5, 1.9); |
|
|
| 603 | frac_gen<vec3d> gen3; |
|
|
| 604 | |
|
|
| 605 | #if 1 |
|
|
| 606 | int N = 1024; |
|
|
| 607 | |
|
|
| 608 | printf ("P5 %d %d 255\n", N, N); |
|
|
| 609 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
|
|
| 610 | for (int y = 0; y < N; ++y) |
|
|
| 611 | { |
|
|
| 612 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
|
|
| 613 | for (int x = 0; x < N; ++x) |
|
|
| 614 | { |
|
|
| 615 | //putc (127 * gen.noise (vec2d (x * 0.01, y * 0.01)) + 128, stdout); |
|
|
| 616 | //putc (256 * gen.terrain2 (x * 0.004, y * 0.004, 8), stdout); |
|
|
| 617 | //putc (256 * gen.fBm (vec2d(x * 0.01, y * 0.01), 16), stdout); |
|
|
| 618 | putc (256 * gen.turbulence (vec2d (x * 0.004 - 1, y * 0.004 - 1), 10), stdout); |
|
|
| 619 | //putc (256 * gen.heterofractal (vec2d (x * 0.008, y * 0.008), 8, 0.9), stdout); |
|
|
| 620 | |
|
|
| 621 | // mountais or somesuch(?) |
|
|
| 622 | //putc (256 * gen.hybridfractal (vec2d (x * 0.01, y * 0.01), 8, -.4, -4), stdout); |
|
|
| 623 | |
|
|
| 624 | // temperature |
|
|
| 625 | //putc (256 * gen.fBm (vec2d (x * 0.002, y * 0.002), 2), stdout); |
|
|
| 626 | // rain |
|
|
| 627 | |
|
|
| 628 | putc (255 * gen.ridgedmultifractal (vec2d (x * 0.01, y * 0.01), 1, 1, 1), stdout); |
|
|
| 629 | |
|
|
| 630 | //cells |
|
|
| 631 | //putc (127.49 * gen.billowfractal (vec2d (x * 0.01, y * 0.01), 9) + 128, stdout); |
|
|
| 632 | } |
|
|
| 633 | } |
|
|
| 634 | #else |
|
|
| 635 | int N = 512; |
|
|
| 636 | |
|
|
| 637 | //printf ("P6 %d %d 255\n", N, N); |
|
|
| 638 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
|
|
| 639 | for (int z = 0; z < N; ++z) |
|
|
| 640 | { |
|
|
| 641 | if (!(z&7))fprintf (stderr, "z %d\n", z);//D |
|
|
| 642 | for (int y = 0; y < N; ++y) |
|
|
| 643 | for (int x = 0; x < N; ++x) |
|
|
| 644 | { |
|
|
| 645 | float v = gen3.ridgedmultifractal (vec3d (x * 0.01 + 0.2, y * 0.01 + 0.2, z * 0.01 + 0.2), 3, 1.03, 2) * 2; |
|
|
| 646 | |
|
|
| 647 | #if 0 |
|
|
| 648 | if (z < 64) |
|
|
| 649 | v = v * (z * z) / (64 * 64); |
|
|
| 650 | #endif |
|
|
| 651 | |
|
|
| 652 | if (v <= 0.9999) |
|
|
| 653 | continue; |
|
|
| 654 | |
|
|
| 655 | float r[4]; |
|
|
| 656 | int i[4]; |
|
|
| 657 | |
|
|
| 658 | r[0] = x; |
|
|
| 659 | r[1] = y; |
|
|
| 660 | r[2] = z; |
|
|
| 661 | r[3] = v; |
|
|
| 662 | |
|
|
| 663 | memcpy (i, r, 16); |
|
|
| 664 | |
|
|
| 665 | i[0] = htonl (i[0]); |
|
|
| 666 | i[1] = htonl (i[1]); |
|
|
| 667 | i[2] = htonl (i[2]); |
|
|
| 668 | i[3] = htonl (i[3]); |
|
|
| 669 | |
|
|
| 670 | fwrite (i, 4*4, 1, stdout); |
|
|
| 671 | } |
|
|
| 672 | } |
|
|
| 673 | #endif |
|
|
| 674 | |
|
|
| 675 | exit (0); |
|
|
| 676 | } |
|
|
