… | |
… | |
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 | |
247 | static vec2d |
246 | template<class vec_t> |
248 | floor (vec2d v) |
247 | void |
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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) |
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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])); |
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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 | { |
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); |
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265 | } |
261 | } |
266 | |
262 | |
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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; |
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271 | |
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272 | seed *= 3039177861; |
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273 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
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274 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
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275 | |
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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) |
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279 | { |
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280 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
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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 | |
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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 | } |
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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 | { |
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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 |
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; |
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316 | uint8_t i2 = uint8_t (I[2]) + (seed >> 24); |
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317 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
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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 | |
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322 | value_t v = 0; |
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323 | |
321 | for (int k = -1; k <= 2; ++k) |
324 | for (int k = -1; k <= 2; ++k) |
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325 | { |
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326 | uint8_t h2 = rvmap[2](i2 + k) ^ h3; |
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327 | |
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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); |
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325 | |
331 | |
326 | if (d < 4) |
332 | for (int i = -1; i <= 2; ++i) |
327 | { |
333 | { |
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); |
334 | 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); |
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; |
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373 | |
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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); |
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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 | } |
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353 | } |
385 | |
354 | |
386 | return clamp (v, -.9999999, .9999999); |
355 | return v * 2; |
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356 | } |
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357 | |
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358 | vec3d::T_numtype |
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359 | noise_gen<vec3d>::operator() (vec3d P, vec3d N, uint32_t seed) |
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360 | { |
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361 | vec3d I = floor (P); |
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362 | vec3d F = P - I; |
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363 | |
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364 | seed *= 3039177861; |
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365 | uint8_t i2 = uint8_t (I[2]) + (seed >> 24); |
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366 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
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367 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
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368 | |
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369 | uint8_t h3 = rvmap[3](seed); |
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370 | |
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371 | value_t v = 0; |
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372 | |
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373 | for (int k = -1; k <= 2; ++k) |
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374 | { |
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375 | uint8_t h2 = rvmap[2](i2 + k) ^ h3; |
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376 | |
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377 | for (int j = -1; j <= 2; ++j) |
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378 | { |
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379 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
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380 | |
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381 | for (int i = -1; i <= 2; ++i) |
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382 | { |
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383 | vec3d D = F - vec3d (i, j, k); |
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384 | value_t e = dot (D, N); |
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385 | value_t o = 1 - abs (e); |
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386 | |
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387 | if (o > 0) |
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388 | { |
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389 | vec3d A = D - e * N; |
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390 | value_t d = dot (A, A); |
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391 | |
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392 | if (d < 4) |
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393 | { |
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394 | value_t t1 = 1 - d / 4; |
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395 | value_t t2 = t1 * t1; |
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396 | value_t t4 = t2 * t2; |
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397 | |
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398 | value_t o2 = o * o; |
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399 | |
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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); |
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403 | |
|
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404 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
|
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405 | const value_t *G = charges3[h & 0xff]; |
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406 | |
|
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407 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
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408 | } |
|
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409 | } |
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410 | } |
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411 | } |
|
|
412 | } |
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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 |
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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> |
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) |
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|
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; |
… | |
… | |
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 | ///////////////////////////////////////////////////////////////////////////// |
615 | ///////////////////////////////////////////////////////////////////////////// |
598 | |
616 | |
|
|
617 | template<typename T, typename U> |
|
|
618 | T |
|
|
619 | inline border_blend (T a, T b, vec2d P, U N, U W) |
|
|
620 | { |
|
|
621 | U border = W; // within n places of the border |
|
|
622 | |
|
|
623 | min_it (border, P [0]); |
|
|
624 | min_it (border, N - P [0]); |
|
|
625 | min_it (border, P [1]); |
|
|
626 | min_it (border, N - P [1]); |
|
|
627 | |
|
|
628 | return blend (a, b,border, U(0), W); |
|
|
629 | } |
|
|
630 | |
|
|
631 | // highest mountains, deepest sea == 200 .. -200 |
|
|
632 | |
|
|
633 | #define FANCY_GRAPHICS 1 |
|
|
634 | |
|
|
635 | static void |
|
|
636 | gen_quadspace (int x, int y, int z) |
|
|
637 | { |
|
|
638 | vec2d P = vec2d (x, y); |
|
|
639 | |
|
|
640 | const int deep_sea_z = -200; |
|
|
641 | const int mountain_z = 200; |
|
|
642 | |
|
|
643 | static frac2d gen(13); |
|
|
644 | |
|
|
645 | static frac2d vec_gen1 (6, 2, 0.5, 1); |
|
|
646 | static frac2d vec_gen2 (6, 2, 0.5, 2); |
|
|
647 | |
|
|
648 | const float continent_scale = 0.00008; |
|
|
649 | |
|
|
650 | vec2d perturb_pos = pow (P, 1.4) * 1e-5; |
|
|
651 | |
|
|
652 | vec2d perturb ( |
|
|
653 | vec_gen1.fBm (perturb_pos), |
|
|
654 | vec_gen2.fBm (perturb_pos) |
|
|
655 | ); |
|
|
656 | |
|
|
657 | float perturb_perturb = 1 - (P[1] - P[0]) * (1. / 25000 / 2); |
|
|
658 | perturb_perturb = perturb_perturb * perturb_perturb * 0.4; |
|
|
659 | perturb *= perturb_perturb; |
|
|
660 | |
|
|
661 | vec2d P_continent = P * continent_scale + perturb; |
|
|
662 | |
|
|
663 | static frac2d continent_gen (13, 2.13, 0.5); |
|
|
664 | float continent = continent_gen.fBm (P_continent) + 0.05f; |
|
|
665 | |
|
|
666 | float x_gradient = P[0] * (1. / 25000); |
|
|
667 | float y_gradient = P[1] * (1. / 25000); |
|
|
668 | float xy_gradient = (P[0] + P[1]) * (0.5 / 25000); |
|
|
669 | |
|
|
670 | const float N = (25000 - 1) * continent_scale; |
|
|
671 | |
|
|
672 | // we clip a large border on the perturbed shape, to get irregular coastline |
|
|
673 | // and then clip a smaller border around the real shape |
|
|
674 | continent = border_blend (-1.f, continent, P_continent , N, 400 * continent_scale); |
|
|
675 | continent = border_blend (-1.f, continent, P * continent_scale + perturb * 0.1, N, 100 * continent_scale); |
|
|
676 | |
|
|
677 | enum { |
|
|
678 | T_NONE, |
|
|
679 | T_OCEAN, |
|
|
680 | T_RIVER, |
|
|
681 | T_VALLEY, |
|
|
682 | T_MOUNTAIN, |
|
|
683 | T_UNDERGROUND, |
|
|
684 | T_ACQUIFER, |
|
|
685 | } t = T_NONE; |
|
|
686 | |
|
|
687 | vec3d c; |
|
|
688 | int h = 1000000; // height form heightmap |
|
|
689 | |
|
|
690 | // the continent increases in height from 0 to ~700 levels in the absence of anything else |
|
|
691 | // thats about one step every 7 maps. |
|
|
692 | int base_height = blend (0, 300, xy_gradient, 0.2f, 0.9f); |
|
|
693 | int river_height = base_height * 9 / 10; |
|
|
694 | |
|
|
695 | // add this to rivers to "dry them out" |
|
|
696 | float dry_out = max (0.f, lerp (xy_gradient, 0.7f, 1.f, 0.f, 0.3f)); |
|
|
697 | |
|
|
698 | static frac2d river_gen (2); |
|
|
699 | float river1 = abs (river_gen.fBm (P * 0.001 + perturb * 4)) + dry_out; |
|
|
700 | float river2 = river_gen.ridgedmultifractal (P * 0.04, 0.8, 10) - y_gradient * 0.2 - 0.16 - dry_out; |
|
|
701 | |
|
|
702 | float valley = river1 - 0.2f; |
|
|
703 | |
|
|
704 | static frac2d mountain_gen (8, 2.14, 0.5); |
|
|
705 | float mountain = mountain_gen.ridgedmultifractal (P * 0.004); |
|
|
706 | |
|
|
707 | t = valley < 0 ? T_VALLEY : T_MOUNTAIN; |
|
|
708 | c = blend0 (vec3d (0, 0.8, 0), vec3d (0.8, 0, 0), valley, 0.1f); |
|
|
709 | h = blend0 (base_height + continent * 300, base_height + mountain * xy_gradient * 400, valley, 0.1f); |
|
|
710 | |
|
|
711 | if (river1 < 0.01f) |
|
|
712 | { |
|
|
713 | // main rivers - they cut deeply into the mountains (base_height * 0.9f) |
|
|
714 | t = T_RIVER; |
|
|
715 | c = vec3d (0.2, 0.2, 1); |
|
|
716 | min_it (h, river_height + lerp<float> (river1, 0.f, 0.01f, -20, -1)); |
|
|
717 | } |
|
|
718 | |
|
|
719 | if (river2 > 0) |
|
|
720 | { |
|
|
721 | t = T_RIVER; |
|
|
722 | c = vec3d (0.2, 0.2, 1); |
|
|
723 | min_it (h, river_height + lerp<float> (river1, 0.f, 0.01f, -5, -1)); |
|
|
724 | } |
|
|
725 | |
|
|
726 | if (continent < 0) |
|
|
727 | { |
|
|
728 | t = T_OCEAN; |
|
|
729 | min_it (h, min (continent * 200, -1)); |
|
|
730 | c = vec3d (0, 0, 1); |
|
|
731 | } |
|
|
732 | |
|
|
733 | // now we have the base height, and base terrain |
|
|
734 | |
|
|
735 | #if FANCY_GRAPHICS |
|
|
736 | z = h; // show the surface, not the given z layer |
|
|
737 | #endif |
|
|
738 | |
|
|
739 | // everything below the surface is underground, or a variant |
|
|
740 | if (z < h) |
|
|
741 | { |
|
|
742 | t = T_UNDERGROUND; |
|
|
743 | } |
|
|
744 | |
|
|
745 | // put acquifers a bit below the surface, to reduce them leaking out (will still happen) |
|
|
746 | if (z < h - 3) |
|
|
747 | { |
|
|
748 | static frac3d acquifer_gen (4); |
|
|
749 | float acquifer = acquifer_gen.ridgedmultifractal (vec3d (x * 0.001, y * 0.001, z * 0.01), 1.003, 2); |
|
|
750 | |
|
|
751 | if (acquifer > 0.48) |
|
|
752 | { |
|
|
753 | t = T_ACQUIFER; |
|
|
754 | c = vec3d (1,1,1); |
|
|
755 | } |
|
|
756 | } |
|
|
757 | |
|
|
758 | // TODO: caves |
|
|
759 | // TODO: chees areas |
|
|
760 | // TODO: minerals |
|
|
761 | // TODO: monsters |
|
|
762 | |
|
|
763 | #if FANCY_GRAPHICS |
|
|
764 | float v = clamp (lerp<float> (h, deep_sea_z, mountain_z*0+800, 0.f, 1.f), 0.f, 1.f); |
|
|
765 | c *= v; |
|
|
766 | |
|
|
767 | putc (clamp<int> (255 * c[0], 0, 255), stdout); |
|
|
768 | putc (clamp<int> (255 * c[1], 0, 255), stdout); |
|
|
769 | putc (clamp<int> (255 * c[2], 0, 255), stdout); |
|
|
770 | #endif |
|
|
771 | } |
|
|
772 | |
599 | void noise_test (); |
773 | void noise_test (); |
600 | void noise_test () |
774 | void noise_test () |
601 | { |
775 | { |
602 | frac_gen<vec2d> gen (0.5, 1.9); |
|
|
603 | frac_gen<vec3d> gen3; |
|
|
604 | |
|
|
605 | #if 1 |
776 | #if 0 |
606 | int N = 1024; |
777 | int Nw = 700; |
607 | |
778 | |
608 | printf ("P5 %d %d 255\n", N, N); |
779 | printf ("P6 %d %d 255\n", Nw * 3, Nw * 2); |
609 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
780 | // 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) |
781 | for (int y = 0; y < Nw; ++y) |
611 | { |
782 | { |
612 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
783 | if (!(y&63))fprintf (stderr, "y %d\n", y * 50 / Nw);//D |
|
|
784 | |
|
|
785 | for (int x = 0; x < Nw; ++x) gen_quadspace (x * 25000 / Nw, y * 25000 / Nw, 0); |
|
|
786 | |
|
|
787 | for (int x = 0; x < Nw; ++x) gen_quadspace (x + 400, y, 0); |
|
|
788 | for (int x = 0; x < Nw; ++x) gen_quadspace (x + 22000, y + 2000, 0); |
|
|
789 | } |
613 | for (int x = 0; x < N; ++x) |
790 | for (int y = 0; y < Nw; ++y) |
614 | { |
791 | { |
|
|
792 | if (!(y&63))fprintf (stderr, "y %d\n", y * 50 / Nw+50);//D |
|
|
793 | |
|
|
794 | for (int x = 0; x < Nw; ++x) gen_quadspace (x + 1000, y + 22000, 0); |
|
|
795 | for (int x = 0; x < Nw; ++x) gen_quadspace (x + 12500, y + 12500, 0); |
|
|
796 | for (int x = 0; x < Nw; ++x) gen_quadspace (x + 22000, y + 22500, 0); |
|
|
797 | } |
|
|
798 | |
615 | //putc (127 * gen.noise (vec2d (x * 0.01, y * 0.01)) + 128, stdout); |
799 | //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); |
800 | //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); |
801 | //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); |
802 | //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); |
803 | //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); |
804 | //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); |
805 | //putc (256 * gen.fBm (vec2d (x * 0.002, y * 0.002), 2), stdout); |
626 | // rain |
|
|
627 | |
|
|
628 | putc (127.5 * gen.ridgedmultifractal (vec2d (x * 0.01, y * 0.01), 1, 1, 1); |
|
|
629 | |
|
|
630 | //cells |
|
|
631 | //putc (127.49 * gen.billowfractal (vec2d (x * 0.01, y * 0.01), 9) + 128, stdout); |
806 | //putc (127.49 * gen.billowfractal (vec2d (x * 0.01, y * 0.01), 9) + 128, stdout); |
632 | } |
|
|
633 | } |
|
|
634 | #else |
807 | #else |
635 | int N = 512; |
808 | int N = 200; |
636 | |
809 | |
637 | //printf ("P6 %d %d 255\n", N, N); |
810 | //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 |
811 | // 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) |
812 | for (int z = 0; z < N; ++z) |
640 | { |
813 | { |
641 | if (!(z&7))fprintf (stderr, "z %d\n", z);//D |
814 | if (!(z&7))fprintf (stderr, "z %d\n", z);//D |
642 | for (int y = 0; y < N; ++y) |
815 | for (int y = 0; y < N; ++y) |
643 | for (int x = 0; x < N; ++x) |
816 | for (int x = 0; x < N; ++x) |
644 | { |
817 | { |
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 |
818 | #if 0 |
|
|
819 | float v = gen3.ridgedmultifractal (vec3d (x * 0.001 + 0.2, y * 0.001 + 0.2, z * 0.01 + 0.2), 1.03, 2) * 2; |
|
|
820 | |
648 | if (z < 64) |
821 | if (z < 64) |
649 | v = v * (z * z) / (64 * 64); |
822 | v = v * (z * z) / (64 * 64); |
|
|
823 | |
|
|
824 | if (v <= 0.9) |
|
|
825 | continue; |
650 | #endif |
826 | #endif |
|
|
827 | static frac3d gen3 (10); |
|
|
828 | //float v = gen3.turbulence (vec3d (x * 0.01, y * 0.01, z * 0.01)); |
|
|
829 | float v = gen3.ridgedmultifractal (vec3d (x * 0.001, y * 0.001, z * 0.001), 1.003, 2); |
651 | |
830 | |
652 | if (v <= 0.9999) |
831 | if (v <= 0.48) continue; |
653 | continue; |
|
|
654 | |
832 | |
655 | float r[4]; |
833 | float r[4]; |
656 | int i[4]; |
834 | int i[4]; |
657 | |
835 | |
658 | r[0] = x; |
836 | r[0] = x; |