… | |
… | |
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> |
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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 | |
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246 | // various s-shaped curves, smooth to, first, or second derivative |
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247 | // used for smooth interpolation from 0..1 |
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248 | |
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249 | // linear |
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250 | template<typename T> |
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251 | inline T |
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252 | sigmoid0 (T x) |
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253 | { |
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254 | return x; |
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255 | } |
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256 | |
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257 | // 3x²-2x³ |
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258 | template<typename T> |
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259 | inline T |
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260 | sigmoid1 (T x) |
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261 | { |
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262 | return (3 - 2 * x) * x * x; |
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263 | } |
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264 | |
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265 | // 6x⁵ - 15x⁴ + 10x³ |
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266 | template<typename T> |
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267 | inline T |
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268 | sigmoid2 (T x) |
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269 | { |
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270 | #ifdef MORE_PARALLELITY |
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271 | float x2 = x * x; |
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272 | float x4 = x2 * x2; |
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273 | |
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274 | return (6 * x4 + 10 * x2) * x - 15 * x4; |
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275 | #endif |
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276 | |
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277 | // simple horner |
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278 | return ((6 * x - 15) * x + 10) * x * x * x; |
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279 | } |
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280 | |
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281 | // blend between a and b |
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282 | // c is the control function - if lower than ca |
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283 | // then return a, if higher than cb, return b |
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284 | template<typename T, typename U> |
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285 | inline T |
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286 | blend (T a, T b, U c, U ca, U cb, T weight (U) = sigmoid1) |
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287 | { |
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288 | if (c <= ca) return a; |
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289 | if (c >= cb) return b; |
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290 | |
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291 | T w = weight (lerp (c, ca, cb, T(0), T(1))); |
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292 | return (T(1) - w) * a + w * b; |
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293 | } |
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294 | |
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295 | // blend between a and b |
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296 | // c is the control function - if lower than -c_w |
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297 | // then return a, if higher than +c_w then b. |
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298 | template<typename T, typename U> |
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299 | inline T |
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300 | blend0 (T a, T b, U c, U c_w, T weight (U) = sigmoid1) |
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301 | { |
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302 | return blend<T,U> (a, b, c, -c_w, c_w, weight); |
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303 | } |
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304 | |
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305 | ///////////////////////////////////////////////////////////////////////////// |
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306 | |
247 | static vec2d |
307 | static vec2d |
248 | floor (vec2d v) |
308 | floor (vec2d v) |
249 | { |
309 | { |
250 | return vec2d (std::floor (v[0]), std::floor (v[1])); |
310 | return vec2d (fastfloor (v[0]), fastfloor (v[1])); |
251 | } |
311 | } |
252 | |
312 | |
253 | static vec3d |
313 | static vec3d |
254 | floor (vec3d v) |
314 | floor (vec3d v) |
255 | { |
315 | { |
256 | return vec3d (std::floor (v[0]), std::floor (v[1]), std::floor (v[2])); |
316 | return vec3d (fastfloor (v[0]), fastfloor (v[1]), fastfloor (v[2])); |
257 | } |
317 | } |
258 | |
318 | |
259 | noise_gen<vec2d>::noise_gen (uint32_t seed) |
319 | template<class vec_t> |
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320 | void |
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321 | noise_gen_base<vec_t>::seed (seedable_rand_gen &rng) |
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322 | { |
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323 | for (int i = 0; i < array_length (rvmap); ++i) |
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324 | rvmap[i].seed (rng); |
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325 | } |
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326 | |
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327 | template<class vec_t> |
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328 | void |
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329 | noise_gen_base<vec_t>::seed (seed_t seed) |
260 | { |
330 | { |
261 | seedable_rand_gen rng (seed); |
331 | seedable_rand_gen rng (seed); |
262 | |
332 | |
263 | rvmap[0].seed (rng); |
333 | this->seed (rng); |
264 | rvmap[1].seed (rng); |
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265 | } |
334 | } |
266 | |
335 | |
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336 | template<> |
267 | vec2d::T_numtype |
337 | vec2d::T_numtype |
268 | noise_gen<vec2d>::operator() (vec2d P) |
338 | noise_gen_base<vec2d>::operator() (vec2d P) |
269 | { |
339 | { |
270 | vec2d I = floor (P); |
340 | vec2d I = floor (P); |
271 | vec2d F = P - I; |
341 | vec2d F = P - I; |
272 | |
342 | |
273 | float v = 0; |
343 | float v = 0; |
… | |
… | |
292 | |
362 | |
293 | v += dot (A, G) * p; |
363 | v += dot (A, G) * p; |
294 | } |
364 | } |
295 | } |
365 | } |
296 | |
366 | |
297 | return clamp (v, -.9999999, .9999999); |
367 | return v; |
298 | } |
368 | } |
299 | |
369 | |
300 | ///////////////////////////////////////////////////////////////////////////// |
370 | ///////////////////////////////////////////////////////////////////////////// |
301 | |
371 | |
302 | noise_gen<vec3d>::noise_gen (uint32_t seed) |
372 | template<> |
303 | { |
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304 | seedable_rand_gen rng (seed); |
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305 | |
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306 | rvmap [0].seed (rng); |
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307 | rvmap [1].seed (rng); |
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308 | rvmap [2].seed (rng); |
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309 | } |
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310 | |
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311 | vec3d::T_numtype |
373 | vec3d::T_numtype |
312 | noise_gen<vec3d>::operator() (vec3d P) |
374 | noise_gen_base<vec3d>::operator() (vec3d P) |
313 | { |
375 | { |
314 | vec3d I = floor (P); |
376 | vec3d I = floor (P); |
315 | vec3d F = P - I; |
377 | vec3d F = P - I; |
316 | |
378 | |
317 | float v = 0; |
379 | float v = 0; |
… | |
… | |
337 | |
399 | |
338 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
400 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
339 | } |
401 | } |
340 | } |
402 | } |
341 | |
403 | |
342 | return clamp (v * 2, -.9999999, .9999999); |
404 | return v * 2; |
343 | } |
405 | } |
344 | |
406 | |
345 | vec3d::T_numtype |
407 | vec3d::T_numtype |
346 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
408 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
347 | { |
409 | { |
… | |
… | |
381 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
443 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
382 | } |
444 | } |
383 | } |
445 | } |
384 | } |
446 | } |
385 | |
447 | |
386 | return clamp (v, -.9999999, .9999999); |
448 | return v; |
387 | } |
449 | } |
388 | |
450 | |
389 | template class noise_gen<vec2d>; |
451 | template class noise_gen<vec2d>; |
390 | template class noise_gen<vec3d>; |
452 | template class noise_gen<vec3d>; |
391 | |
453 | |
… | |
… | |
403 | r[1] += i * 2; |
465 | r[1] += i * 2; |
404 | return r; |
466 | return r; |
405 | } |
467 | } |
406 | |
468 | |
407 | template<class vec_t> |
469 | template<class vec_t> |
408 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity) |
470 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity, seed_t seed) |
409 | : h (hurst_expo), lac (lacunarity), noise_gen<vec_t> (0) |
471 | : h (hurst_expo), lac (lacunarity) |
410 | { |
472 | { |
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473 | this->seed (seed); |
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474 | |
411 | value_t exsum = 0; |
475 | value_t exsum = 0; |
412 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
476 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
413 | |
477 | |
414 | for (int i = 0; i < MAX_OCTAVES; ++i) |
478 | for (int i = 0; i < MAX_OCTAVES; ++i) |
415 | { |
479 | { |
… | |
… | |
431 | rot [i](P); |
495 | rot [i](P); |
432 | v += noise (ith_octave (P, i)) * ex [i]; |
496 | v += noise (ith_octave (P, i)) * ex [i]; |
433 | P *= lac; |
497 | P *= lac; |
434 | } |
498 | } |
435 | |
499 | |
436 | return clamp<value_t> (v * fbm_mul [octaves - 1] + 0.5, 0, .9999999); |
500 | return v * fbm_mul [octaves - 1]; |
437 | } |
501 | } |
438 | |
502 | |
439 | template<class vec_t> |
503 | template<class vec_t> |
440 | typename frac_gen<vec_t>::value_t |
504 | typename frac_gen<vec_t>::value_t |
441 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
505 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
… | |
… | |
447 | rot [i](P); |
511 | rot [i](P); |
448 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
512 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
449 | P *= lac; |
513 | P *= lac; |
450 | } |
514 | } |
451 | |
515 | |
452 | return clamp<value_t> (v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()), 0, .9999999); |
516 | return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
453 | } |
517 | } |
454 | |
518 | |
455 | template<class vec_t> |
519 | template<class vec_t> |
456 | typename frac_gen<vec_t>::value_t |
520 | typename frac_gen<vec_t>::value_t |
457 | frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
521 | frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
… | |
… | |
463 | rot [i](P); |
527 | rot [i](P); |
464 | v *= noise (P) * ex [i] + offset; |
528 | v *= noise (P) * ex [i] + offset; |
465 | P *= lac; |
529 | P *= lac; |
466 | } |
530 | } |
467 | |
531 | |
468 | return clamp<value_t> (v * 0.5, 0, .9999999); |
532 | return v * value_t (0.5); |
469 | } |
533 | } |
470 | |
534 | |
471 | template<class vec_t> |
535 | template<class vec_t> |
472 | typename frac_gen<vec_t>::value_t |
536 | typename frac_gen<vec_t>::value_t |
473 | frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
537 | frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
… | |
… | |
501 | value_t sig = (noise (P) + offset) * ex [i]; |
565 | value_t sig = (noise (P) + offset) * ex [i]; |
502 | v += weight * sig; |
566 | v += weight * sig; |
503 | weight *= gain * sig; |
567 | weight *= gain * sig; |
504 | } |
568 | } |
505 | |
569 | |
506 | return clamp<value_t> (v * 0.5 + 0.5, 0, .9999999); |
570 | return v * value_t (0.5) + value_t (0.5); |
507 | } |
571 | } |
508 | |
572 | |
509 | template<class vec_t> |
573 | template<class vec_t> |
510 | typename frac_gen<vec_t>::value_t |
574 | typename frac_gen<vec_t>::value_t |
511 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
575 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
… | |
… | |
526 | sig *= w; |
590 | sig *= w; |
527 | |
591 | |
528 | v += sig * ex [i]; |
592 | v += sig * ex [i]; |
529 | } |
593 | } |
530 | |
594 | |
531 | return clamp<value_t> (v * 0.25, 0, .9999999); |
595 | return v * value_t (0.25); |
532 | } |
596 | } |
533 | |
597 | |
534 | template<class vec_t> |
598 | template<class vec_t> |
535 | typename frac_gen<vec_t>::value_t |
599 | typename frac_gen<vec_t>::value_t |
536 | frac_gen<vec_t>::billowfractal (vec_t P, int octaves, value_t offset, value_t gain) |
600 | frac_gen<vec_t>::billowfractal (vec_t P, int octaves, value_t offset, value_t gain) |
… | |
… | |
544 | rot [i](P); |
608 | rot [i](P); |
545 | v += (abs (noise (ith_octave (P, i))) * gain - offset) * ex [i]; |
609 | v += (abs (noise (ith_octave (P, i))) * gain - offset) * ex [i]; |
546 | P *= lac; |
610 | P *= lac; |
547 | } |
611 | } |
548 | |
612 | |
549 | return clamp<value_t> (v, -.9999999, .9999999); |
613 | return v; |
550 | } |
614 | } |
551 | |
615 | |
552 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
616 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
553 | template<class vec_t> |
617 | template<class vec_t> |
554 | typename frac_gen<vec_t>::value_t |
618 | typename frac_gen<vec_t>::value_t |
… | |
… | |
597 | ///////////////////////////////////////////////////////////////////////////// |
661 | ///////////////////////////////////////////////////////////////////////////// |
598 | |
662 | |
599 | void noise_test (); |
663 | void noise_test (); |
600 | void noise_test () |
664 | void noise_test () |
601 | { |
665 | { |
602 | frac_gen<vec2d> gen (0.5, 1.9); |
666 | frac_gen<vec2d> gen; |
603 | frac_gen<vec3d> gen3; |
667 | frac_gen<vec3d> gen3; |
604 | |
668 | |
605 | #if 1 |
669 | #if 1 |
606 | int N = 1024; |
670 | int N = 1024; |
607 | |
671 | |
… | |
… | |
610 | for (int y = 0; y < N; ++y) |
674 | for (int y = 0; y < N; ++y) |
611 | { |
675 | { |
612 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
676 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
613 | for (int x = 0; x < N; ++x) |
677 | for (int x = 0; x < N; ++x) |
614 | { |
678 | { |
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|
679 | vec2d P = vec2d (x, y) * (5000.f / N); |
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680 | |
615 | //putc (127 * gen.noise (vec2d (x * 0.01, y * 0.01)) + 128, stdout); |
681 | //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); |
682 | //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); |
683 | //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); |
684 | //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); |
685 | //putc (256 * gen.heterofractal (vec2d (x * 0.008, y * 0.008), 8, 0.9), stdout); |
620 | |
686 | |
621 | // mountais or somesuch(?) |
687 | // mountais or somesuch(?) |
622 | //putc (256 * gen.hybridfractal (vec2d (x * 0.01, y * 0.01), 8, -.4, -4), stdout); |
688 | //putc (256 * gen.hybridfractal (vec2d (x * 0.01, y * 0.01), 8, -.4, -4), stdout); |
623 | |
689 | |
624 | // temperature |
690 | // temperature |
625 | //putc (256 * gen.fBm (vec2d (x * 0.002, y * 0.002), 2), stdout); |
691 | //putc (256 * gen.fBm (vec2d (x * 0.002, y * 0.002), 2), stdout); |
626 | // rain |
692 | // rain |
627 | |
693 | |
628 | putc (127.5 * gen.ridgedmultifractal (vec2d (x * 0.01, y * 0.01), 1, 1, 1); |
694 | float continent = gen.fBm (P * 0.0004, 12) + 0.1f; |
|
|
695 | float mountain = gen.ridgedmultifractal (P * 0.004, 8, 0.8, 10) * 2; |
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|
696 | float river = gen.ridgedmultifractal (P * 0.004, 3, 0.8, 10); |
|
|
697 | float sel1 = gen.noise (P * 0.001 + vec2d (5,0)); |
|
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698 | |
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699 | { |
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|
700 | const float W = 100; |
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701 | const float N = 5000 - 1; |
|
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702 | |
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|
703 | float border = W; // within n places of the border |
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704 | |
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705 | min_it (border, P [0]); |
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706 | min_it (border, N - P [0]); |
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707 | min_it (border, P [1]); |
|
|
708 | min_it (border, N - P [1]); |
|
|
709 | |
|
|
710 | continent = blend (-1.f, continent, border, 0.f, W); |
|
|
711 | } |
|
|
712 | |
|
|
713 | //float v = blend (mountain, 0.f, river + sel1 * 0.2f, 0.25f, 0.1f); |
|
|
714 | float v = blend0 (0.f, 1.f, continent, 0.05f); |
|
|
715 | |
|
|
716 | |
|
|
717 | putc (255 * clamp (v, 0.f, 1.f), stdout); |
629 | |
718 | |
630 | //cells |
719 | //cells |
631 | //putc (127.49 * gen.billowfractal (vec2d (x * 0.01, y * 0.01), 9) + 128, stdout); |
720 | //putc (127.49 * gen.billowfractal (vec2d (x * 0.01, y * 0.01), 9) + 128, stdout); |
632 | } |
721 | } |
633 | } |
722 | } |