1 | /* |
1 | /* |
2 | * This file is part of Deliantra, the Roguelike Realtime MMORPG. |
2 | * This file is part of Deliantra, the Roguelike Realtime MMORPG. |
3 | * |
3 | * |
|
|
4 | * Copyright (©) 2017,2018 Marc Alexander Lehmann / the Deliantra team |
4 | * Copyright (©) 2010,2011 Marc Alexander Lehmann / Robin Redeker / the Deliantra team |
5 | * Copyright (©) 2010,2011,2012,2013,2014,2015,2016 Marc Alexander Lehmann / Robin Redeker / the Deliantra team |
5 | * |
6 | * |
6 | * Deliantra is free software: you can redistribute it and/or modify it under |
7 | * Deliantra is free software: you can redistribute it and/or modify it under |
7 | * the terms of the Affero GNU General Public License as published by the |
8 | * the terms of the Affero GNU General Public License as published by the |
8 | * Free Software Foundation, either version 3 of the License, or (at your |
9 | * Free Software Foundation, either version 3 of the License, or (at your |
9 | * option) any later version. |
10 | * option) any later version. |
10 | * |
11 | * |
11 | * This program is distributed in the hope that it will be useful, |
12 | * This program is distributed in the hope that it will be useful, |
12 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
13 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
14 | * GNU General Public License for more details. |
15 | * GNU General Public License for more details. |
15 | * |
16 | * |
16 | * You should have received a copy of the Affero GNU General Public License |
17 | * You should have received a copy of the Affero GNU General Public License |
17 | * and the GNU General Public License along with this program. If not, see |
18 | * and the GNU General Public License along with this program. If not, see |
18 | * <http://www.gnu.org/licenses/>. |
19 | * <http://www.gnu.org/licenses/>. |
19 | * |
20 | * |
20 | * The authors can be reached via e-mail to <support@deliantra.net> |
21 | * The authors can be reached via e-mail to <support@deliantra.net> |
21 | */ |
22 | */ |
22 | |
23 | |
23 | #include "noise.h" |
24 | #include "noise.h" |
24 | |
25 | |
… | |
… | |
226 | }; |
227 | }; |
227 | |
228 | |
228 | ///////////////////////////////////////////////////////////////////////////// |
229 | ///////////////////////////////////////////////////////////////////////////// |
229 | |
230 | |
230 | template<int N, typename T> |
231 | template<int N, typename T> |
231 | template<class random_generator> |
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232 | void |
232 | void |
233 | permutation<N,T>::seed (random_generator &rng) |
233 | permutation<N,T>::seed (seedable_rand_gen &rng) |
234 | { |
234 | { |
235 | for (int i = 0; i < N; ++i) |
235 | for (int i = 0; i < N; ++i) |
236 | pmap[i] = i; |
236 | pmap[i] = i; |
237 | |
237 | |
238 | // fisher-yates to randomly perturb |
238 | // fisher-yates to randomly perturb |
… | |
… | |
242 | |
242 | |
243 | template class permutation<256, uint8_t>; |
243 | template class permutation<256, uint8_t>; |
244 | |
244 | |
245 | ///////////////////////////////////////////////////////////////////////////// |
245 | ///////////////////////////////////////////////////////////////////////////// |
246 | |
246 | |
247 | static vec2d |
247 | template<class vec_t> |
248 | floor (vec2d v) |
248 | void |
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|
249 | noise_gen_base<vec_t>::seed (seedable_rand_gen &rng) |
249 | { |
250 | { |
250 | return vec2d (std::floor (v[0]), std::floor (v[1])); |
251 | for (int i = 0; i < array_length (rvmap); ++i) |
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252 | rvmap[i].seed (rng); |
251 | } |
253 | } |
252 | |
254 | |
253 | static vec3d |
255 | template<class vec_t> |
254 | floor (vec3d v) |
256 | void |
255 | { |
257 | noise_gen_base<vec_t>::seed (seed_t seed) |
256 | return vec3d (std::floor (v[0]), std::floor (v[1]), std::floor (v[2])); |
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257 | } |
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258 | |
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259 | noise_gen<vec2d>::noise_gen (uint32_t seed) |
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260 | { |
258 | { |
261 | seedable_rand_gen rng (seed); |
259 | seedable_rand_gen rng (seed); |
262 | |
260 | |
263 | rvmap[0].seed (rng); |
261 | this->seed (rng); |
264 | rvmap[1].seed (rng); |
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|
265 | } |
262 | } |
266 | |
263 | |
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264 | template<> |
267 | vec2d::T_numtype |
265 | vec2d::T_numtype |
268 | noise_gen<vec2d>::operator() (vec2d P) |
266 | noise_gen_base<vec2d>::operator() (vec2d P, uint32_t seed) |
269 | { |
267 | { |
270 | vec2d I = floor (P); |
268 | vec2d I = floor (P); |
271 | vec2d F = P - I; |
269 | vec2d F = P - I; |
272 | |
270 | |
273 | float v = 0; |
271 | value_t v = 0; |
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272 | |
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273 | seed *= 3039177861; |
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274 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
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275 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
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276 | |
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277 | uint8_t h2 = rvmap[2](seed); |
274 | |
278 | |
275 | for (int j = -1; j <= 2; ++j) |
279 | for (int j = -1; j <= 2; ++j) |
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280 | { |
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281 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
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282 | |
276 | for (int i = -1; i <= 2; ++i) |
283 | for (int i = -1; i <= 2; ++i) |
277 | { |
284 | { |
278 | vec2d A = F - vec2d (i, j); |
285 | vec2d A = F - vec2d (i, j); |
279 | |
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|
280 | float d = dot (A, A); |
286 | value_t d = dot (A, A); |
281 | |
287 | |
282 | if (d < 4) |
288 | if (d < 4) |
283 | { |
289 | { |
284 | float t1 = 1 - d / 4; |
290 | value_t t1 = 1 - d / 4; |
285 | float t2 = t1 * t1; |
291 | value_t t2 = t1 * t1; |
286 | float t4 = t2 * t2; |
292 | value_t t4 = t2 * t2; |
287 | |
293 | |
288 | float p = (4 * t1 - 3) * t4; |
294 | value_t p = (4 * t1 - 3) * t4; |
289 | |
295 | |
290 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j); |
296 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
291 | vec2d G = charges2[h & 0xff]; |
297 | vec2d G = charges2[h & 0xff]; |
292 | |
298 | |
293 | v += dot (A, G) * p; |
299 | v += dot (A, G) * p; |
294 | } |
300 | } |
295 | } |
301 | } |
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302 | } |
296 | |
303 | |
297 | return clamp (v, -.9999999, .9999999); |
304 | return v; |
298 | } |
305 | } |
299 | |
306 | |
300 | ///////////////////////////////////////////////////////////////////////////// |
307 | ///////////////////////////////////////////////////////////////////////////// |
301 | |
308 | |
302 | noise_gen<vec3d>::noise_gen (uint32_t seed) |
309 | 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 |
310 | vec3d::T_numtype |
312 | noise_gen<vec3d>::operator() (vec3d P) |
311 | noise_gen_base<vec3d>::operator() (vec3d P, uint32_t seed) |
313 | { |
312 | { |
314 | vec3d I = floor (P); |
313 | vec3d I = floor (P); |
315 | vec3d F = P - I; |
314 | vec3d F = P - I; |
316 | |
315 | |
317 | float v = 0; |
316 | seed *= 3039177861; |
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317 | uint8_t i2 = uint8_t (I[2]) + (seed >> 24); |
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318 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
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319 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
318 | |
320 | |
319 | for (int j = -1; j <= 2; ++j) |
321 | uint8_t h3 = rvmap[3](seed); |
320 | for (int i = -1; i <= 2; ++i) |
322 | |
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323 | value_t v = 0; |
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324 | |
321 | for (int k = -1; k <= 2; ++k) |
325 | for (int k = -1; k <= 2; ++k) |
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326 | { |
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327 | uint8_t h2 = rvmap[2](i2 + k) ^ h3; |
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328 | |
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329 | for (int j = -1; j <= 2; ++j) |
322 | { |
330 | { |
323 | vec3d A = F - vec3d (i, j, k); |
331 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
324 | float d = dot (A, A); |
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325 | |
332 | |
326 | if (d < 4) |
333 | for (int i = -1; i <= 2; ++i) |
327 | { |
334 | { |
328 | float t1 = 1 - d / 4; |
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329 | float t2 = t1 * t1; |
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330 | float t4 = t2 * t2; |
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331 | |
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332 | // (4t⁵ - 3t⁴) |
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333 | float p = (4 * t1 - 3) * t4; |
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334 | |
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335 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
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336 | const float *G = charges3[h & 0xff]; |
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337 | |
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338 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
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339 | } |
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340 | } |
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341 | |
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342 | return clamp (v * 2, -.9999999, .9999999); |
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343 | } |
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344 | |
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345 | vec3d::T_numtype |
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346 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
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347 | { |
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348 | vec3d I = floor (P); |
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349 | vec3d F = P - I; |
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350 | |
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351 | float v = 0; |
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352 | |
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353 | for (int j = -1; j <= 2; ++j) |
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354 | for (int i = -1; i <= 2; ++i) |
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355 | for (int k = -1; k <= 2; ++k) |
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356 | { |
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357 | vec3d D = F - vec3d (i, j, k); |
335 | vec3d A = F - vec3d (i, j, k); |
358 | float e = dot (D, N); |
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359 | float o = 1 - abs (e); |
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360 | |
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361 | if (o > 0) |
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362 | { |
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363 | vec3d A = D - e * N; |
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364 | float d = dot (A, A); |
336 | value_t d = dot (A, A); |
365 | |
337 | |
366 | if (d < 4) |
338 | if (d < 4) |
367 | { |
339 | { |
368 | float t1 = 1 - d / 4; |
340 | value_t t1 = 1 - d / 4; |
369 | float t2 = t1 * t1; |
341 | value_t t2 = t1 * t1; |
370 | float t4 = t2 * t2; |
342 | value_t t4 = t2 * t2; |
371 | |
343 | |
372 | float o2 = o * o; |
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373 | |
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374 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
344 | // (4t⁵ - 3t⁴) |
375 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
345 | value_t p = (4 * t1 - 3) * t4; |
376 | float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
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377 | |
346 | |
378 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
347 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
379 | const float *G = charges3[h & 0xff]; |
348 | const value_t *G = charges3[h & 0xff]; |
380 | |
349 | |
381 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
350 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
382 | } |
351 | } |
383 | } |
352 | } |
384 | } |
353 | } |
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354 | } |
385 | |
355 | |
386 | return clamp (v, -.9999999, .9999999); |
356 | return v * 2; |
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357 | } |
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358 | |
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359 | vec3d::T_numtype |
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360 | noise_gen<vec3d>::operator() (vec3d P, vec3d N, uint32_t seed) |
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361 | { |
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362 | vec3d I = floor (P); |
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363 | vec3d F = P - I; |
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364 | |
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365 | seed *= 3039177861; |
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366 | uint8_t i2 = uint8_t (I[2]) + (seed >> 24); |
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367 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
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368 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
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369 | |
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370 | uint8_t h3 = rvmap[3](seed); |
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371 | |
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372 | value_t v = 0; |
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373 | |
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374 | for (int k = -1; k <= 2; ++k) |
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375 | { |
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376 | uint8_t h2 = rvmap[2](i2 + k) ^ h3; |
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377 | |
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378 | for (int j = -1; j <= 2; ++j) |
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379 | { |
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380 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
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381 | |
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382 | for (int i = -1; i <= 2; ++i) |
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383 | { |
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384 | vec3d D = F - vec3d (i, j, k); |
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385 | value_t e = dot (D, N); |
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386 | value_t o = 1 - abs (e); |
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387 | |
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388 | if (o > 0) |
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389 | { |
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390 | vec3d A = D - e * N; |
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391 | value_t d = dot (A, A); |
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392 | |
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393 | if (d < 4) |
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394 | { |
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395 | value_t t1 = 1 - d / 4; |
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396 | value_t t2 = t1 * t1; |
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397 | value_t t4 = t2 * t2; |
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398 | |
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399 | value_t o2 = o * o; |
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400 | |
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401 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
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402 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
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403 | value_t p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
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404 | |
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405 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
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406 | const value_t *G = charges3[h & 0xff]; |
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407 | |
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408 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
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409 | } |
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410 | } |
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411 | } |
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412 | } |
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413 | } |
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414 | |
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415 | return v; |
387 | } |
416 | } |
388 | |
417 | |
389 | template class noise_gen<vec2d>; |
418 | template class noise_gen<vec2d>; |
390 | template class noise_gen<vec3d>; |
419 | template class noise_gen<vec3d>; |
391 | |
420 | |
392 | ///////////////////////////////////////////////////////////////////////////// |
421 | ///////////////////////////////////////////////////////////////////////////// |
393 | |
422 | |
394 | // find some uncorrelated spot - we assume that noise 2 units away |
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395 | // is completely uncorrelated - this is not true for other coordinates, |
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396 | // but generally works well. |
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397 | template<class vec_t> |
423 | template<class vec_t> |
398 | static vec_t |
424 | 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) |
425 | : octaves (octaves), lac (lacunarity), h (hurst_expo) |
400 | { |
426 | { |
401 | vec_t r = P; |
427 | this->seed (seed); |
402 | r[0] += i; |
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403 | r[1] += i * 2; |
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404 | return r; |
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405 | } |
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406 | |
428 | |
407 | template<class vec_t> |
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408 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity) |
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409 | : h (hurst_expo), lac (lacunarity), noise_gen<vec_t> (0) |
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410 | { |
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411 | value_t exsum = 0; |
429 | value_t exsum = 0; |
412 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
430 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
413 | |
431 | |
414 | for (int i = 0; i < MAX_OCTAVES; ++i) |
432 | for (int i = 0; i < octaves; ++i) |
415 | { |
433 | { |
416 | ex [i] = pow (lac, -h * i); |
434 | ex [i] = pow (lac, -h * i); |
417 | exsum += ex [i]; |
435 | exsum += ex [i]; |
418 | fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
436 | fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
419 | rot [i].set (phi * i + 1); |
437 | rot [i].set (phi * i + 1); |
420 | } |
438 | } |
421 | } |
439 | } |
422 | |
440 | |
423 | template<class vec_t> |
441 | template<class vec_t> |
424 | typename frac_gen<vec_t>::value_t |
442 | typename frac_gen<vec_t>::value_t |
425 | frac_gen<vec_t>::fBm (vec_t P, int octaves) |
443 | frac_gen<vec_t>::fBm (vec_t P) |
426 | { |
444 | { |
427 | value_t v = 0; |
445 | value_t v = 0; |
428 | |
446 | |
429 | for (int i = 0; i < octaves; ++i) |
447 | for (int i = 0; i < octaves; ++i) |
430 | { |
448 | { |
431 | rot [i](P); |
449 | rot [i](P); |
432 | v += noise (ith_octave (P, i)) * ex [i]; |
450 | v += noise (P, i) * ex [i]; |
433 | P *= lac; |
451 | P *= lac; |
434 | } |
452 | } |
435 | |
453 | |
436 | return clamp<value_t> (v * fbm_mul [octaves - 1] + 0.5, 0, .9999999); |
454 | return v * fbm_mul [octaves - 1]; |
437 | } |
455 | } |
438 | |
456 | |
439 | template<class vec_t> |
457 | template<class vec_t> |
440 | typename frac_gen<vec_t>::value_t |
458 | typename frac_gen<vec_t>::value_t |
441 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
459 | frac_gen<vec_t>::turbulence (vec_t P) |
442 | { |
460 | { |
443 | value_t v = 0; |
461 | value_t v = 0; |
444 | |
462 | |
445 | for (int i = 0; i < octaves; ++i) |
463 | for (int i = 0; i < octaves; ++i) |
446 | { |
464 | { |
447 | rot [i](P); |
465 | rot [i](P); |
448 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
466 | v += abs (noise (P, i)) * ex [i]; |
449 | P *= lac; |
467 | P *= lac; |
450 | } |
468 | } |
451 | |
469 | |
452 | return clamp<value_t> (v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()), 0, .9999999); |
470 | return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
453 | } |
471 | } |
454 | |
472 | |
455 | template<class vec_t> |
473 | template<class vec_t> |
456 | typename frac_gen<vec_t>::value_t |
474 | typename frac_gen<vec_t>::value_t |
457 | frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
475 | frac_gen<vec_t>::multifractal (vec_t P, value_t offset) |
458 | { |
476 | { |
459 | value_t v = 1; |
477 | value_t v = 1; |
460 | |
478 | |
461 | for (int i = 0; i < octaves; ++i) |
479 | for (int i = 0; i < octaves; ++i) |
462 | { |
480 | { |
463 | rot [i](P); |
481 | rot [i](P); |
464 | v *= noise (P) * ex [i] + offset; |
482 | v *= noise (P) * ex [i] + offset; |
465 | P *= lac; |
483 | P *= lac; |
466 | } |
484 | } |
467 | |
485 | |
468 | return clamp<value_t> (v * 0.5, 0, .9999999); |
486 | return v * value_t (0.5); |
469 | } |
487 | } |
470 | |
488 | |
471 | template<class vec_t> |
489 | template<class vec_t> |
472 | typename frac_gen<vec_t>::value_t |
490 | typename frac_gen<vec_t>::value_t |
473 | frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
491 | frac_gen<vec_t>::heterofractal (vec_t P, value_t offset) |
474 | { |
492 | { |
475 | value_t v = noise (P) + offset; |
493 | value_t v = noise (P) + offset; |
476 | |
494 | |
477 | for (int i = 1; i < octaves; ++i) |
495 | for (int i = 1; i < octaves; ++i) |
478 | { |
496 | { |
… | |
… | |
484 | return v / (1 << octaves); |
502 | return v / (1 << octaves); |
485 | } |
503 | } |
486 | |
504 | |
487 | template<class vec_t> |
505 | template<class vec_t> |
488 | typename frac_gen<vec_t>::value_t |
506 | typename frac_gen<vec_t>::value_t |
489 | frac_gen<vec_t>::hybridfractal (vec_t P, int octaves, value_t offset, value_t gain) |
507 | frac_gen<vec_t>::hybridfractal (vec_t P, value_t offset, value_t gain) |
490 | { |
508 | { |
491 | value_t v = (noise (P) + offset) * ex [0]; |
509 | value_t v = (noise (P) + offset) * ex [0]; |
492 | value_t weight = v; |
510 | value_t weight = v; |
493 | |
511 | |
494 | for (int i = 1; i < octaves; ++i) |
512 | for (int i = 1; i < octaves; ++i) |
… | |
… | |
501 | value_t sig = (noise (P) + offset) * ex [i]; |
519 | value_t sig = (noise (P) + offset) * ex [i]; |
502 | v += weight * sig; |
520 | v += weight * sig; |
503 | weight *= gain * sig; |
521 | weight *= gain * sig; |
504 | } |
522 | } |
505 | |
523 | |
506 | return clamp<value_t> (v * 0.5 + 0.5, 0, .9999999); |
524 | return v * value_t (0.5) + value_t (0.5); |
507 | } |
525 | } |
508 | |
526 | |
509 | template<class vec_t> |
527 | template<class vec_t> |
510 | typename frac_gen<vec_t>::value_t |
528 | typename frac_gen<vec_t>::value_t |
511 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
529 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, value_t offset, value_t gain) |
512 | { |
530 | { |
513 | value_t sig = offset - abs (noise (P)); |
531 | value_t sig = offset - abs (noise (P)); |
514 | sig *= sig; |
532 | sig *= sig; |
515 | value_t v = sig; |
533 | value_t v = sig; |
516 | |
534 | |
517 | for (int i = 1; i < octaves; ++i) |
535 | for (int i = 1; i < octaves; ++i) |
518 | { |
536 | { |
519 | rot [i](P); |
537 | rot [i](P); |
520 | P *= lac; |
538 | P *= lac; |
521 | |
539 | |
|
|
540 | // weight higher octaves by previous signal |
522 | value_t w = clamp (sig * gain, 0, 1); |
541 | value_t w = clamp (sig * gain, 0, 1); |
523 | |
542 | |
524 | sig = offset - abs (noise (P)); |
543 | sig = offset - abs (noise (P)); |
525 | sig *= sig; |
544 | sig *= sig; |
526 | sig *= w; |
545 | sig *= w; |
527 | |
546 | |
528 | v += sig * ex [i]; |
547 | v += sig * ex [i]; |
529 | } |
548 | } |
530 | |
549 | |
531 | return clamp<value_t> (v * 0.25, 0, .9999999); |
550 | return v * value_t (0.25); |
532 | } |
551 | } |
533 | |
552 | |
534 | template<class vec_t> |
553 | template<class vec_t> |
535 | typename frac_gen<vec_t>::value_t |
554 | typename frac_gen<vec_t>::value_t |
536 | frac_gen<vec_t>::billowfractal (vec_t P, int octaves, value_t offset, value_t gain) |
555 | frac_gen<vec_t>::billowfractal (vec_t P, value_t offset, value_t gain) |
537 | { |
556 | { |
538 | value_t v = 0; |
557 | value_t v = 0; |
539 | |
558 | |
540 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
559 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
541 | |
560 | |
542 | for (int i = 0; i < octaves; ++i) |
561 | for (int i = 0; i < octaves; ++i) |
543 | { |
562 | { |
544 | rot [i](P); |
563 | rot [i](P); |
545 | v += (abs (noise (ith_octave (P, i))) * gain - offset) * ex [i]; |
564 | v += (abs (noise (P, i)) * gain - offset) * ex [i]; |
546 | P *= lac; |
565 | P *= lac; |
547 | } |
566 | } |
548 | |
567 | |
549 | return clamp<value_t> (v, -.9999999, .9999999); |
568 | return v; |
550 | } |
569 | } |
551 | |
570 | |
552 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
571 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
553 | template<class vec_t> |
572 | template<class vec_t> |
554 | typename frac_gen<vec_t>::value_t |
573 | typename frac_gen<vec_t>::value_t |
555 | frac_gen<vec_t>::terrain (vec_t P, int octaves) |
574 | frac_gen<vec_t>::terrain (vec_t P) |
556 | { |
575 | { |
557 | value_t v = 0; |
576 | value_t v = 0; |
558 | |
577 | |
559 | for (int i = 0; i < octaves; ++i) |
578 | for (int i = 0; i < octaves; ++i) |
560 | { |
579 | { |
… | |
… | |
568 | return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
587 | return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
569 | } |
588 | } |
570 | |
589 | |
571 | template<class vec_t> |
590 | template<class vec_t> |
572 | typename frac_gen<vec_t>::value_t |
591 | typename frac_gen<vec_t>::value_t |
573 | frac_gen<vec_t>::terrain2 (vec_t P, int octaves) |
592 | frac_gen<vec_t>::terrain2 (vec_t P) |
574 | { |
593 | { |
575 | value_t a = fBm (P, octaves); |
594 | value_t a = fBm (P); |
576 | value_t b = ridgedmultifractal (P, octaves, 1, 8); |
595 | value_t b = ridgedmultifractal (P, 1, 8); |
577 | value_t fade = fBm (P + vec_t(10.3), octaves); |
596 | value_t fade = fBm (P + vec_t(10.3)); |
578 | |
597 | |
579 | const value_t width = 0.05; |
598 | const value_t width = 0.05; |
580 | |
599 | |
581 | if (fade > 0.5 + width) |
600 | if (fade > 0.5 + width) |
582 | return a; |
601 | return a; |
… | |
… | |
592 | } |
611 | } |
593 | |
612 | |
594 | template class frac_gen<vec2d>; |
613 | template class frac_gen<vec2d>; |
595 | template class frac_gen<vec3d>; |
614 | template class frac_gen<vec3d>; |
596 | |
615 | |
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 | } |
|
|