… | |
… | |
241 | |
241 | |
242 | template class permutation<256, uint8_t>; |
242 | template class permutation<256, uint8_t>; |
243 | |
243 | |
244 | ///////////////////////////////////////////////////////////////////////////// |
244 | ///////////////////////////////////////////////////////////////////////////// |
245 | |
245 | |
246 | // various s-shaped curves, smooth to, first, or second derivative |
|
|
247 | // used for smooth interpolation from 0..1 |
|
|
248 | |
|
|
249 | // linear |
|
|
250 | template<typename T> |
|
|
251 | inline T |
|
|
252 | sigmoid0 (T x) |
|
|
253 | { |
|
|
254 | return x; |
|
|
255 | } |
|
|
256 | |
|
|
257 | // 3x²-2x³ |
|
|
258 | template<typename T> |
|
|
259 | inline T |
|
|
260 | sigmoid1 (T x) |
|
|
261 | { |
|
|
262 | return (3 - 2 * x) * x * x; |
|
|
263 | } |
|
|
264 | |
|
|
265 | // 6x⁵ - 15x⁴ + 10x³ |
|
|
266 | template<typename T> |
|
|
267 | inline T |
|
|
268 | sigmoid2 (T x) |
|
|
269 | { |
|
|
270 | #ifdef MORE_PARALLELITY |
|
|
271 | float x2 = x * x; |
|
|
272 | float x4 = x2 * x2; |
|
|
273 | |
|
|
274 | return (6 * x4 + 10 * x2) * x - 15 * x4; |
|
|
275 | #endif |
|
|
276 | |
|
|
277 | // simple horner |
|
|
278 | return ((6 * x - 15) * x + 10) * x * x * x; |
|
|
279 | } |
|
|
280 | |
|
|
281 | // blend between a and b |
|
|
282 | // c is the control function - if lower than ca |
|
|
283 | // then return a, if higher than cb, return b |
|
|
284 | template<typename T, typename U> |
|
|
285 | inline T |
|
|
286 | blend (T a, T b, U c, U ca, U cb, T weight (U) = sigmoid1) |
|
|
287 | { |
|
|
288 | if (c <= ca) return a; |
|
|
289 | if (c >= cb) return b; |
|
|
290 | |
|
|
291 | T w = weight (lerp (c, ca, cb, T(0), T(1))); |
|
|
292 | return (T(1) - w) * a + w * b; |
|
|
293 | } |
|
|
294 | |
|
|
295 | // blend between a and b |
|
|
296 | // c is the control function - if lower than -c_w |
|
|
297 | // then return a, if higher than +c_w then b. |
|
|
298 | template<typename T, typename U> |
|
|
299 | inline T |
|
|
300 | blend0 (T a, T b, U c, U c_w, T weight (U) = sigmoid1) |
|
|
301 | { |
|
|
302 | return blend<T,U> (a, b, c, -c_w, c_w, weight); |
|
|
303 | } |
|
|
304 | |
|
|
305 | ///////////////////////////////////////////////////////////////////////////// |
|
|
306 | |
|
|
307 | static vec2d |
|
|
308 | floor (vec2d v) |
|
|
309 | { |
|
|
310 | return vec2d (fastfloor (v[0]), fastfloor (v[1])); |
|
|
311 | } |
|
|
312 | |
|
|
313 | static vec3d |
|
|
314 | floor (vec3d v) |
|
|
315 | { |
|
|
316 | return vec3d (fastfloor (v[0]), fastfloor (v[1]), fastfloor (v[2])); |
|
|
317 | } |
|
|
318 | |
|
|
319 | template<class vec_t> |
246 | template<class vec_t> |
320 | void |
247 | void |
321 | noise_gen_base<vec_t>::seed (seedable_rand_gen &rng) |
248 | noise_gen_base<vec_t>::seed (seedable_rand_gen &rng) |
322 | { |
249 | { |
323 | for (int i = 0; i < array_length (rvmap); ++i) |
250 | for (int i = 0; i < array_length (rvmap); ++i) |
… | |
… | |
333 | this->seed (rng); |
260 | this->seed (rng); |
334 | } |
261 | } |
335 | |
262 | |
336 | template<> |
263 | template<> |
337 | vec2d::T_numtype |
264 | vec2d::T_numtype |
338 | noise_gen_base<vec2d>::operator() (vec2d P) |
265 | noise_gen_base<vec2d>::operator() (vec2d P, uint32_t seed) |
339 | { |
266 | { |
340 | vec2d I = floor (P); |
267 | vec2d I = floor (P); |
341 | vec2d F = P - I; |
268 | vec2d F = P - I; |
342 | |
269 | |
343 | float v = 0; |
270 | value_t v = 0; |
|
|
271 | |
|
|
272 | uint8_t i1 = uint8_t (I[1]) ^ (seed >> 16); |
|
|
273 | uint8_t i0 = uint8_t (I[0]) ^ (seed >> 8); |
344 | |
274 | |
345 | for (int j = -1; j <= 2; ++j) |
275 | for (int j = -1; j <= 2; ++j) |
|
|
276 | { |
|
|
277 | uint8_t h1 = rvmap[1](i1 + j) ^ seed; |
|
|
278 | |
346 | for (int i = -1; i <= 2; ++i) |
279 | for (int i = -1; i <= 2; ++i) |
347 | { |
280 | { |
348 | vec2d A = F - vec2d (i, j); |
281 | vec2d A = F - vec2d (i, j); |
349 | |
|
|
350 | float d = dot (A, A); |
282 | value_t d = dot (A, A); |
351 | |
283 | |
352 | if (d < 4) |
284 | if (d < 4) |
353 | { |
285 | { |
354 | float t1 = 1 - d / 4; |
286 | value_t t1 = 1 - d / 4; |
355 | float t2 = t1 * t1; |
287 | value_t t2 = t1 * t1; |
356 | float t4 = t2 * t2; |
288 | value_t t4 = t2 * t2; |
357 | |
289 | |
358 | float p = (4 * t1 - 3) * t4; |
290 | value_t p = (4 * t1 - 3) * t4; |
359 | |
291 | |
360 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j); |
292 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
361 | vec2d G = charges2[h & 0xff]; |
293 | vec2d G = charges2[h & 0xff]; |
362 | |
294 | |
363 | v += dot (A, G) * p; |
295 | v += dot (A, G) * p; |
364 | } |
296 | } |
365 | } |
297 | } |
|
|
298 | } |
366 | |
299 | |
367 | return v; |
300 | return v; |
368 | } |
301 | } |
369 | |
302 | |
370 | ///////////////////////////////////////////////////////////////////////////// |
303 | ///////////////////////////////////////////////////////////////////////////// |
371 | |
304 | |
372 | template<> |
305 | template<> |
373 | vec3d::T_numtype |
306 | vec3d::T_numtype |
374 | noise_gen_base<vec3d>::operator() (vec3d P) |
307 | noise_gen_base<vec3d>::operator() (vec3d P, uint32_t seed) |
375 | { |
308 | { |
376 | vec3d I = floor (P); |
309 | vec3d I = floor (P); |
377 | vec3d F = P - I; |
310 | vec3d F = P - I; |
378 | |
311 | |
379 | float v = 0; |
312 | uint8_t i2 = uint8_t (I[2]) ^ (seed >> 24); |
|
|
313 | uint8_t i1 = uint8_t (I[1]) ^ (seed >> 16); |
|
|
314 | uint8_t i0 = uint8_t (I[0]) ^ (seed >> 8); |
380 | |
315 | |
381 | for (int j = -1; j <= 2; ++j) |
316 | value_t v = 0; |
382 | for (int i = -1; i <= 2; ++i) |
317 | |
383 | for (int k = -1; k <= 2; ++k) |
318 | for (int k = -1; k <= 2; ++k) |
|
|
319 | { |
|
|
320 | uint8_t h2 = rvmap[2](i2 + k) ^ seed; |
|
|
321 | |
|
|
322 | for (int j = -1; j <= 2; ++j) |
384 | { |
323 | { |
385 | vec3d A = F - vec3d (i, j, k); |
324 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
386 | float d = dot (A, A); |
|
|
387 | |
325 | |
388 | if (d < 4) |
326 | for (int i = -1; i <= 2; ++i) |
389 | { |
327 | { |
390 | float t1 = 1 - d / 4; |
|
|
391 | float t2 = t1 * t1; |
|
|
392 | float t4 = t2 * t2; |
|
|
393 | |
|
|
394 | // (4t⁵ - 3t⁴) |
|
|
395 | float p = (4 * t1 - 3) * t4; |
|
|
396 | |
|
|
397 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
|
|
398 | const float *G = charges3[h & 0xff]; |
|
|
399 | |
|
|
400 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
|
|
401 | } |
|
|
402 | } |
|
|
403 | |
|
|
404 | return v * 2; |
|
|
405 | } |
|
|
406 | |
|
|
407 | vec3d::T_numtype |
|
|
408 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
|
|
409 | { |
|
|
410 | vec3d I = floor (P); |
|
|
411 | vec3d F = P - I; |
|
|
412 | |
|
|
413 | float v = 0; |
|
|
414 | |
|
|
415 | for (int j = -1; j <= 2; ++j) |
|
|
416 | for (int i = -1; i <= 2; ++i) |
|
|
417 | for (int k = -1; k <= 2; ++k) |
|
|
418 | { |
|
|
419 | vec3d D = F - vec3d (i, j, k); |
328 | vec3d A = F - vec3d (i, j, k); |
420 | float e = dot (D, N); |
|
|
421 | float o = 1 - abs (e); |
|
|
422 | |
|
|
423 | if (o > 0) |
|
|
424 | { |
|
|
425 | vec3d A = D - e * N; |
|
|
426 | float d = dot (A, A); |
329 | value_t d = dot (A, A); |
427 | |
330 | |
428 | if (d < 4) |
331 | if (d < 4) |
429 | { |
332 | { |
430 | float t1 = 1 - d / 4; |
333 | value_t t1 = 1 - d / 4; |
431 | float t2 = t1 * t1; |
334 | value_t t2 = t1 * t1; |
432 | float t4 = t2 * t2; |
335 | value_t t4 = t2 * t2; |
433 | |
336 | |
434 | float o2 = o * o; |
|
|
435 | |
|
|
436 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
337 | // (4t⁵ - 3t⁴) |
437 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
338 | value_t p = (4 * t1 - 3) * t4; |
438 | float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
|
|
439 | |
339 | |
440 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
340 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
441 | const float *G = charges3[h & 0xff]; |
341 | const value_t *G = charges3[h & 0xff]; |
442 | |
342 | |
443 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
343 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
444 | } |
344 | } |
445 | } |
345 | } |
446 | } |
346 | } |
|
|
347 | } |
|
|
348 | |
|
|
349 | return v * 2; |
|
|
350 | } |
|
|
351 | |
|
|
352 | vec3d::T_numtype |
|
|
353 | noise_gen<vec3d>::operator() (vec3d P, vec3d N, uint32_t seed) |
|
|
354 | { |
|
|
355 | vec3d I = floor (P); |
|
|
356 | vec3d F = P - I; |
|
|
357 | |
|
|
358 | uint8_t i2 = uint8_t (I[2]) ^ (seed >> 24); |
|
|
359 | uint8_t i1 = uint8_t (I[1]) ^ (seed >> 16); |
|
|
360 | uint8_t i0 = uint8_t (I[0]) ^ (seed >> 8); |
|
|
361 | |
|
|
362 | value_t v = 0; |
|
|
363 | |
|
|
364 | for (int k = -1; k <= 2; ++k) |
|
|
365 | { |
|
|
366 | uint8_t h2 = rvmap[2](i2 + k) ^ seed; |
|
|
367 | |
|
|
368 | for (int j = -1; j <= 2; ++j) |
|
|
369 | { |
|
|
370 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
|
|
371 | |
|
|
372 | for (int i = -1; i <= 2; ++i) |
|
|
373 | { |
|
|
374 | vec3d D = F - vec3d (i, j, k); |
|
|
375 | value_t e = dot (D, N); |
|
|
376 | value_t o = 1 - abs (e); |
|
|
377 | |
|
|
378 | if (o > 0) |
|
|
379 | { |
|
|
380 | vec3d A = D - e * N; |
|
|
381 | value_t d = dot (A, A); |
|
|
382 | |
|
|
383 | if (d < 4) |
|
|
384 | { |
|
|
385 | value_t t1 = 1 - d / 4; |
|
|
386 | value_t t2 = t1 * t1; |
|
|
387 | value_t t4 = t2 * t2; |
|
|
388 | |
|
|
389 | value_t o2 = o * o; |
|
|
390 | |
|
|
391 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
|
|
392 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
|
|
393 | value_t p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
|
|
394 | |
|
|
395 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
|
|
396 | const value_t *G = charges3[h & 0xff]; |
|
|
397 | |
|
|
398 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
|
|
399 | } |
|
|
400 | } |
|
|
401 | } |
|
|
402 | } |
|
|
403 | } |
447 | |
404 | |
448 | return v; |
405 | return v; |
449 | } |
406 | } |
450 | |
407 | |
451 | template class noise_gen<vec2d>; |
408 | template class noise_gen<vec2d>; |
452 | template class noise_gen<vec3d>; |
409 | template class noise_gen<vec3d>; |
453 | |
410 | |
454 | ///////////////////////////////////////////////////////////////////////////// |
411 | ///////////////////////////////////////////////////////////////////////////// |
455 | |
412 | |
456 | // find some uncorrelated spot - we assume that noise 2 units away |
|
|
457 | // is completely uncorrelated - this is not true for other coordinates, |
|
|
458 | // but generally works well. |
|
|
459 | template<class vec_t> |
413 | template<class vec_t> |
460 | static vec_t |
414 | frac_gen<vec_t>::frac_gen (int octaves, value_t lacunarity, value_t hurst_expo, seed_t seed) |
461 | ith_octave (vec_t P, int i) |
415 | : octaves (octaves), lac (lacunarity), h (hurst_expo) |
462 | { |
|
|
463 | vec_t r = P; |
|
|
464 | r[0] += i; |
|
|
465 | r[1] += i * 2; |
|
|
466 | return r; |
|
|
467 | } |
|
|
468 | |
|
|
469 | template<class vec_t> |
|
|
470 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity, seed_t seed) |
|
|
471 | : h (hurst_expo), lac (lacunarity) |
|
|
472 | { |
416 | { |
473 | this->seed (seed); |
417 | this->seed (seed); |
474 | |
418 | |
475 | value_t exsum = 0; |
419 | value_t exsum = 0; |
476 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
420 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
477 | |
421 | |
478 | for (int i = 0; i < MAX_OCTAVES; ++i) |
422 | for (int i = 0; i < octaves; ++i) |
479 | { |
423 | { |
480 | ex [i] = pow (lac, -h * i); |
424 | ex [i] = pow (lac, -h * i); |
481 | exsum += ex [i]; |
425 | exsum += ex [i]; |
482 | fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
426 | fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
483 | rot [i].set (phi * i + 1); |
427 | rot [i].set (phi * i + 1); |
484 | } |
428 | } |
485 | } |
429 | } |
486 | |
430 | |
487 | template<class vec_t> |
431 | template<class vec_t> |
488 | typename frac_gen<vec_t>::value_t |
432 | typename frac_gen<vec_t>::value_t |
489 | frac_gen<vec_t>::fBm (vec_t P, int octaves) |
433 | frac_gen<vec_t>::fBm (vec_t P) |
490 | { |
434 | { |
491 | value_t v = 0; |
435 | value_t v = 0; |
492 | |
436 | |
493 | for (int i = 0; i < octaves; ++i) |
437 | for (int i = 0; i < octaves; ++i) |
494 | { |
438 | { |
495 | rot [i](P); |
439 | rot [i](P); |
496 | v += noise (ith_octave (P, i)) * ex [i]; |
440 | v += noise (P, i) * ex [i]; |
497 | P *= lac; |
441 | P *= lac; |
498 | } |
442 | } |
499 | |
443 | |
500 | return v * fbm_mul [octaves - 1]; |
444 | return v * fbm_mul [octaves - 1]; |
501 | } |
445 | } |
502 | |
446 | |
503 | template<class vec_t> |
447 | template<class vec_t> |
504 | typename frac_gen<vec_t>::value_t |
448 | typename frac_gen<vec_t>::value_t |
505 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
449 | frac_gen<vec_t>::turbulence (vec_t P) |
506 | { |
450 | { |
507 | value_t v = 0; |
451 | value_t v = 0; |
508 | |
452 | |
509 | for (int i = 0; i < octaves; ++i) |
453 | for (int i = 0; i < octaves; ++i) |
510 | { |
454 | { |
511 | rot [i](P); |
455 | rot [i](P); |
512 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
456 | v += abs (noise (P, i)) * ex [i]; |
513 | P *= lac; |
457 | P *= lac; |
514 | } |
458 | } |
515 | |
459 | |
516 | return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
460 | return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
517 | } |
461 | } |
518 | |
462 | |
519 | template<class vec_t> |
463 | template<class vec_t> |
520 | typename frac_gen<vec_t>::value_t |
464 | typename frac_gen<vec_t>::value_t |
521 | frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
465 | frac_gen<vec_t>::multifractal (vec_t P, value_t offset) |
522 | { |
466 | { |
523 | value_t v = 1; |
467 | value_t v = 1; |
524 | |
468 | |
525 | for (int i = 0; i < octaves; ++i) |
469 | for (int i = 0; i < octaves; ++i) |
526 | { |
470 | { |
… | |
… | |
532 | return v * value_t (0.5); |
476 | return v * value_t (0.5); |
533 | } |
477 | } |
534 | |
478 | |
535 | template<class vec_t> |
479 | template<class vec_t> |
536 | typename frac_gen<vec_t>::value_t |
480 | typename frac_gen<vec_t>::value_t |
537 | frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
481 | frac_gen<vec_t>::heterofractal (vec_t P, value_t offset) |
538 | { |
482 | { |
539 | value_t v = noise (P) + offset; |
483 | value_t v = noise (P) + offset; |
540 | |
484 | |
541 | for (int i = 1; i < octaves; ++i) |
485 | for (int i = 1; i < octaves; ++i) |
542 | { |
486 | { |
… | |
… | |
548 | return v / (1 << octaves); |
492 | return v / (1 << octaves); |
549 | } |
493 | } |
550 | |
494 | |
551 | template<class vec_t> |
495 | template<class vec_t> |
552 | typename frac_gen<vec_t>::value_t |
496 | typename frac_gen<vec_t>::value_t |
553 | frac_gen<vec_t>::hybridfractal (vec_t P, int octaves, value_t offset, value_t gain) |
497 | frac_gen<vec_t>::hybridfractal (vec_t P, value_t offset, value_t gain) |
554 | { |
498 | { |
555 | value_t v = (noise (P) + offset) * ex [0]; |
499 | value_t v = (noise (P) + offset) * ex [0]; |
556 | value_t weight = v; |
500 | value_t weight = v; |
557 | |
501 | |
558 | for (int i = 1; i < octaves; ++i) |
502 | for (int i = 1; i < octaves; ++i) |
… | |
… | |
570 | return v * value_t (0.5) + value_t (0.5); |
514 | return v * value_t (0.5) + value_t (0.5); |
571 | } |
515 | } |
572 | |
516 | |
573 | template<class vec_t> |
517 | template<class vec_t> |
574 | typename frac_gen<vec_t>::value_t |
518 | typename frac_gen<vec_t>::value_t |
575 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
519 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, value_t offset, value_t gain) |
576 | { |
520 | { |
577 | value_t sig = offset - abs (noise (P)); |
521 | value_t sig = offset - abs (noise (P)); |
578 | sig *= sig; |
522 | sig *= sig; |
579 | value_t v = sig; |
523 | value_t v = sig; |
580 | |
524 | |
581 | for (int i = 1; i < octaves; ++i) |
525 | for (int i = 1; i < octaves; ++i) |
582 | { |
526 | { |
583 | rot [i](P); |
527 | rot [i](P); |
584 | P *= lac; |
528 | P *= lac; |
585 | |
529 | |
|
|
530 | // weight higher octaves by previous signal |
586 | value_t w = clamp (sig * gain, 0, 1); |
531 | value_t w = clamp (sig * gain, 0, 1); |
587 | |
532 | |
588 | sig = offset - abs (noise (P)); |
533 | sig = offset - abs (noise (P)); |
589 | sig *= sig; |
534 | sig *= sig; |
590 | sig *= w; |
535 | sig *= w; |
… | |
… | |
595 | return v * value_t (0.25); |
540 | return v * value_t (0.25); |
596 | } |
541 | } |
597 | |
542 | |
598 | template<class vec_t> |
543 | template<class vec_t> |
599 | typename frac_gen<vec_t>::value_t |
544 | typename frac_gen<vec_t>::value_t |
600 | frac_gen<vec_t>::billowfractal (vec_t P, int octaves, value_t offset, value_t gain) |
545 | frac_gen<vec_t>::billowfractal (vec_t P, value_t offset, value_t gain) |
601 | { |
546 | { |
602 | value_t v = 0; |
547 | value_t v = 0; |
603 | |
548 | |
604 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
549 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
605 | |
550 | |
606 | for (int i = 0; i < octaves; ++i) |
551 | for (int i = 0; i < octaves; ++i) |
607 | { |
552 | { |
608 | rot [i](P); |
553 | rot [i](P); |
609 | v += (abs (noise (ith_octave (P, i))) * gain - offset) * ex [i]; |
554 | v += (abs (noise (P, i)) * gain - offset) * ex [i]; |
610 | P *= lac; |
555 | P *= lac; |
611 | } |
556 | } |
612 | |
557 | |
613 | return v; |
558 | return v; |
614 | } |
559 | } |
615 | |
560 | |
616 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
561 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
617 | template<class vec_t> |
562 | template<class vec_t> |
618 | typename frac_gen<vec_t>::value_t |
563 | typename frac_gen<vec_t>::value_t |
619 | frac_gen<vec_t>::terrain (vec_t P, int octaves) |
564 | frac_gen<vec_t>::terrain (vec_t P) |
620 | { |
565 | { |
621 | value_t v = 0; |
566 | value_t v = 0; |
622 | |
567 | |
623 | for (int i = 0; i < octaves; ++i) |
568 | for (int i = 0; i < octaves; ++i) |
624 | { |
569 | { |
… | |
… | |
632 | return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
577 | return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
633 | } |
578 | } |
634 | |
579 | |
635 | template<class vec_t> |
580 | template<class vec_t> |
636 | typename frac_gen<vec_t>::value_t |
581 | typename frac_gen<vec_t>::value_t |
637 | frac_gen<vec_t>::terrain2 (vec_t P, int octaves) |
582 | frac_gen<vec_t>::terrain2 (vec_t P) |
638 | { |
583 | { |
639 | value_t a = fBm (P, octaves); |
584 | value_t a = fBm (P); |
640 | value_t b = ridgedmultifractal (P, octaves, 1, 8); |
585 | value_t b = ridgedmultifractal (P, 1, 8); |
641 | value_t fade = fBm (P + vec_t(10.3), octaves); |
586 | value_t fade = fBm (P + vec_t(10.3)); |
642 | |
587 | |
643 | const value_t width = 0.05; |
588 | const value_t width = 0.05; |
644 | |
589 | |
645 | if (fade > 0.5 + width) |
590 | if (fade > 0.5 + width) |
646 | return a; |
591 | return a; |
… | |
… | |
661 | ///////////////////////////////////////////////////////////////////////////// |
606 | ///////////////////////////////////////////////////////////////////////////// |
662 | |
607 | |
663 | void noise_test (); |
608 | void noise_test (); |
664 | void noise_test () |
609 | void noise_test () |
665 | { |
610 | { |
666 | frac_gen<vec2d> gen; |
611 | frac2d gen; |
667 | frac_gen<vec3d> gen3; |
612 | |
|
|
613 | frac2d vec_gen1 (4, 2, 0.5, 1); |
|
|
614 | frac2d vec_gen2 (4, 2, 0.5, 2); |
668 | |
615 | |
669 | #if 1 |
616 | #if 1 |
670 | int N = 1024; |
617 | int N = 1024; |
671 | |
618 | |
672 | printf ("P5 %d %d 255\n", N, N); |
619 | printf ("P6 %d %d 255\n", N, N); |
673 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
620 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
674 | for (int y = 0; y < N; ++y) |
621 | for (int y = 0; y < N; ++y) |
675 | { |
622 | { |
676 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
623 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
677 | for (int x = 0; x < N; ++x) |
624 | for (int x = 0; x < N; ++x) |
678 | { |
625 | { |
679 | vec2d P = vec2d (x, y) * (5000.f / N); |
626 | vec2d P = vec2d (x, y) * (25000.f / N); |
680 | |
627 | |
681 | //putc (127 * gen.noise (vec2d (x * 0.01, y * 0.01)) + 128, stdout); |
628 | //putc (127 * gen.noise (vec2d (x * 0.01, y * 0.01)) + 128, stdout); |
682 | //putc (256 * gen.terrain2 (x * 0.004, y * 0.004, 8), stdout); |
629 | //putc (256 * gen.terrain2 (x * 0.004, y * 0.004, 8), stdout); |
683 | //putc (256 * gen.fBm (vec2d(x * 0.01, y * 0.01), 16), stdout); |
630 | //putc (256 * gen.fBm (vec2d(x * 0.01, y * 0.01), 16), stdout); |
684 | //putc (256 * gen.turbulence (vec2d (x * 0.004 - 1, y * 0.004 - 1), 10), stdout); |
631 | //putc (256 * gen.turbulence (vec2d (x * 0.004 - 1, y * 0.004 - 1), 10), stdout); |
… | |
… | |
689 | |
636 | |
690 | // temperature |
637 | // temperature |
691 | //putc (256 * gen.fBm (vec2d (x * 0.002, y * 0.002), 2), stdout); |
638 | //putc (256 * gen.fBm (vec2d (x * 0.002, y * 0.002), 2), stdout); |
692 | // rain |
639 | // rain |
693 | |
640 | |
694 | float continent = gen.fBm (P * 0.0004, 12) + 0.1f; |
641 | float continent; |
695 | float mountain = gen.ridgedmultifractal (P * 0.004, 8, 0.8, 10) * 2; |
|
|
696 | float river = gen.ridgedmultifractal (P * 0.004, 3, 0.8, 10); |
|
|
697 | float sel1 = gen.noise (P * 0.001 + vec2d (5,0)); |
|
|
698 | |
642 | |
699 | { |
643 | { |
700 | const float W = 100; |
644 | const float continent_scale = 0.00008; |
|
|
645 | |
|
|
646 | vec2d perturb ( |
|
|
647 | vec_gen1.fBm (P * 0.0004), |
|
|
648 | vec_gen2.fBm (P * 0.0004) |
|
|
649 | ); |
|
|
650 | |
|
|
651 | const float W = 1000 * continent_scale; |
701 | const float N = 5000 - 1; |
652 | const float N = (25000 - 1) * continent_scale; |
|
|
653 | |
|
|
654 | static frac2d perturb_gen (4, 2, 0.5, 3); |
|
|
655 | float perturb_perturb = gen.fBm (P * 0.0004); |
|
|
656 | perturb_perturb = perturb_perturb * perturb_perturb * 0.004; |
|
|
657 | |
|
|
658 | vec2d P_perturb = P * continent_scale + perturb * min (W, gen.noise (P * perturb_perturb) * W * 8); |
|
|
659 | |
|
|
660 | static frac2d continent_gen (13, 2.13, 0.5); |
|
|
661 | continent = continent_gen.fBm (P_perturb) + 0.05f; |
702 | |
662 | |
703 | float border = W; // within n places of the border |
663 | float border = W; // within n places of the border |
704 | |
664 | |
705 | min_it (border, P [0]); |
665 | min_it (border, P_perturb [0]); |
706 | min_it (border, N - P [0]); |
666 | min_it (border, N - P_perturb [0]); |
707 | min_it (border, P [1]); |
667 | min_it (border, P_perturb [1]); |
708 | min_it (border, N - P [1]); |
668 | min_it (border, N - P_perturb [1]); |
709 | |
669 | |
710 | continent = blend (-1.f, continent, border, 0.f, W); |
670 | continent = blend (-1.f, continent, border, 0.f, W); |
711 | } |
671 | } |
712 | |
672 | |
713 | //float v = blend (mountain, 0.f, river + sel1 * 0.2f, 0.25f, 0.1f); |
673 | vec3d c (1, 1, 1); |
714 | float v = blend0 (0.f, 1.f, continent, 0.05f); |
674 | float v; |
715 | |
675 | |
|
|
676 | if (continent < 0) |
|
|
677 | { |
|
|
678 | // ocean |
716 | |
679 | |
717 | putc (255 * clamp (v, 0.f, 1.f), stdout); |
680 | v = min (continent * 10, -0.2f); |
|
|
681 | c = vec3d (0, 0, 1); |
|
|
682 | } |
|
|
683 | else |
|
|
684 | { |
|
|
685 | // continent |
|
|
686 | |
|
|
687 | // big rivers |
|
|
688 | static frac2d river_gen (2); |
|
|
689 | float river1 = river_gen.fBm (P * 0.0004);// - (P[0] / 25000) * 0.18 + 0.06; |
|
|
690 | float river2 = river_gen.ridgedmultifractal (P * 0.04 + vec2d (3, 5), 0.8, 10) - (P[1] / 25000) * 0.1; |
|
|
691 | |
|
|
692 | if (river1 > 0.05f) |
|
|
693 | { |
|
|
694 | v = -0.1f; |
|
|
695 | c = vec3d (0.4, 0.4, 1); |
|
|
696 | } |
|
|
697 | else if (river1 > 0.08f && river2 > 0.1f) |
|
|
698 | { |
|
|
699 | v = -0.05f; |
|
|
700 | c = vec3d (0.4, 0.4, 1); |
|
|
701 | } |
|
|
702 | else |
|
|
703 | { |
|
|
704 | river1 -= 0.07f; |
|
|
705 | |
|
|
706 | //c = river1 > 0 ? vec3d (0.8, 0.8, 0) : vec3d (0.8, 0, 0); |
|
|
707 | c = blend0 (vec3d (0.8, 0, 0), vec3d (0.8, 0.8, 0), river1, 0.01f);; |
|
|
708 | |
|
|
709 | static frac2d mountain_gen (8, 2.14, 0.5); |
|
|
710 | float mountain = mountain_gen.ridgedmultifractal (P * 0.004); |
|
|
711 | v = blend0 (mountain * 3 - 1, continent, river1, 0.05f); |
|
|
712 | } |
|
|
713 | |
|
|
714 | v=abs(river1) < 0.1; |
|
|
715 | c=vec3d(1,1,1); |
|
|
716 | } |
|
|
717 | |
|
|
718 | c *= v * 0.5 + 0.5; |
|
|
719 | |
|
|
720 | putc (clamp<int> (255 * c[0], 0, 255), stdout); |
|
|
721 | putc (clamp<int> (255 * c[1], 0, 255), stdout); |
|
|
722 | putc (clamp<int> (255 * c[2], 0, 255), stdout); |
718 | |
723 | |
719 | //cells |
724 | //cells |
720 | //putc (127.49 * gen.billowfractal (vec2d (x * 0.01, y * 0.01), 9) + 128, stdout); |
725 | //putc (127.49 * gen.billowfractal (vec2d (x * 0.01, y * 0.01), 9) + 128, stdout); |
721 | } |
726 | } |
722 | } |
727 | } |
723 | #else |
728 | #else |
724 | int N = 512; |
729 | int N = 128; |
725 | |
730 | |
726 | //printf ("P6 %d %d 255\n", N, N); |
731 | //printf ("P6 %d %d 255\n", N, N); |
727 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
732 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
|
|
733 | frac3d gen3 (3);; |
728 | for (int z = 0; z < N; ++z) |
734 | for (int z = 0; z < N; ++z) |
729 | { |
735 | { |
730 | if (!(z&7))fprintf (stderr, "z %d\n", z);//D |
736 | if (!(z&7))fprintf (stderr, "z %d\n", z);//D |
731 | for (int y = 0; y < N; ++y) |
737 | for (int y = 0; y < N; ++y) |
732 | for (int x = 0; x < N; ++x) |
738 | for (int x = 0; x < N; ++x) |
733 | { |
739 | { |
734 | 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; |
740 | float v = gen3.ridgedmultifractal (vec3d (x * 0.001 + 0.2, y * 0.001 + 0.2, z * 0.01 + 0.2), 1.03, 2) * 2; |
735 | |
741 | |
736 | #if 0 |
742 | #if 0 |
737 | if (z < 64) |
743 | if (z < 64) |
738 | v = v * (z * z) / (64 * 64); |
744 | v = v * (z * z) / (64 * 64); |
739 | #endif |
745 | #endif |
740 | |
746 | |
741 | if (v <= 0.9999) |
747 | if (v <= 0.9) |
742 | continue; |
748 | continue; |
743 | |
749 | |
744 | float r[4]; |
750 | float r[4]; |
745 | int i[4]; |
751 | int i[4]; |
746 | |
752 | |