… | |
… | |
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 |
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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 | |
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307 | static vec2d |
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308 | floor (vec2d v) |
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309 | { |
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310 | return vec2d (fastfloor (v[0]), fastfloor (v[1])); |
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311 | } |
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312 | |
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313 | static vec3d |
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314 | floor (vec3d v) |
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315 | { |
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316 | return vec3d (fastfloor (v[0]), fastfloor (v[1]), fastfloor (v[2])); |
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317 | } |
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318 | |
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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; |
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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); |
344 | |
277 | |
345 | 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 | |
346 | for (int i = -1; i <= 2; ++i) |
282 | for (int i = -1; i <= 2; ++i) |
347 | { |
283 | { |
348 | vec2d A = F - vec2d (i, j); |
284 | vec2d A = F - vec2d (i, j); |
349 | |
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350 | float d = dot (A, A); |
285 | value_t d = dot (A, A); |
351 | |
286 | |
352 | if (d < 4) |
287 | if (d < 4) |
353 | { |
288 | { |
354 | float t1 = 1 - d / 4; |
289 | value_t t1 = 1 - d / 4; |
355 | float t2 = t1 * t1; |
290 | value_t t2 = t1 * t1; |
356 | float t4 = t2 * t2; |
291 | value_t t4 = t2 * t2; |
357 | |
292 | |
358 | float p = (4 * t1 - 3) * t4; |
293 | value_t p = (4 * t1 - 3) * t4; |
359 | |
294 | |
360 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j); |
295 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
361 | vec2d G = charges2[h & 0xff]; |
296 | vec2d G = charges2[h & 0xff]; |
362 | |
297 | |
363 | v += dot (A, G) * p; |
298 | v += dot (A, G) * p; |
364 | } |
299 | } |
365 | } |
300 | } |
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301 | } |
366 | |
302 | |
367 | return v; |
303 | return v; |
368 | } |
304 | } |
369 | |
305 | |
370 | ///////////////////////////////////////////////////////////////////////////// |
306 | ///////////////////////////////////////////////////////////////////////////// |
371 | |
307 | |
372 | template<> |
308 | template<> |
373 | vec3d::T_numtype |
309 | vec3d::T_numtype |
374 | noise_gen_base<vec3d>::operator() (vec3d P) |
310 | noise_gen_base<vec3d>::operator() (vec3d P, uint32_t seed) |
375 | { |
311 | { |
376 | vec3d I = floor (P); |
312 | vec3d I = floor (P); |
377 | vec3d F = P - I; |
313 | vec3d F = P - I; |
378 | |
314 | |
379 | 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); |
380 | |
319 | |
381 | for (int j = -1; j <= 2; ++j) |
320 | uint8_t h3 = rvmap[3](seed); |
382 | for (int i = -1; i <= 2; ++i) |
321 | |
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322 | value_t v = 0; |
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323 | |
383 | 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) |
384 | { |
329 | { |
385 | vec3d A = F - vec3d (i, j, k); |
330 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
386 | float d = dot (A, A); |
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387 | |
331 | |
388 | if (d < 4) |
332 | for (int i = -1; i <= 2; ++i) |
389 | { |
333 | { |
390 | float t1 = 1 - d / 4; |
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391 | float t2 = t1 * t1; |
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392 | float t4 = t2 * t2; |
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393 | |
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394 | // (4t⁵ - 3t⁴) |
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395 | float p = (4 * t1 - 3) * t4; |
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396 | |
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397 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
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398 | const float *G = charges3[h & 0xff]; |
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399 | |
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400 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
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401 | } |
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402 | } |
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403 | |
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404 | return v * 2; |
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405 | } |
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406 | |
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407 | vec3d::T_numtype |
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408 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
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409 | { |
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410 | vec3d I = floor (P); |
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411 | vec3d F = P - I; |
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412 | |
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413 | float v = 0; |
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414 | |
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415 | for (int j = -1; j <= 2; ++j) |
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416 | for (int i = -1; i <= 2; ++i) |
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417 | for (int k = -1; k <= 2; ++k) |
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418 | { |
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419 | vec3d D = F - vec3d (i, j, k); |
334 | vec3d A = F - vec3d (i, j, k); |
420 | float e = dot (D, N); |
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421 | float o = 1 - abs (e); |
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422 | |
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423 | if (o > 0) |
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424 | { |
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425 | vec3d A = D - e * N; |
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426 | float d = dot (A, A); |
335 | value_t d = dot (A, A); |
427 | |
336 | |
428 | if (d < 4) |
337 | if (d < 4) |
429 | { |
338 | { |
430 | float t1 = 1 - d / 4; |
339 | value_t t1 = 1 - d / 4; |
431 | float t2 = t1 * t1; |
340 | value_t t2 = t1 * t1; |
432 | float t4 = t2 * t2; |
341 | value_t t4 = t2 * t2; |
433 | |
342 | |
434 | float o2 = o * o; |
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435 | |
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436 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
343 | // (4t⁵ - 3t⁴) |
437 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
344 | value_t p = (4 * t1 - 3) * t4; |
438 | float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
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439 | |
345 | |
440 | 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; |
441 | const float *G = charges3[h & 0xff]; |
347 | const value_t *G = charges3[h & 0xff]; |
442 | |
348 | |
443 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
349 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
444 | } |
350 | } |
445 | } |
351 | } |
446 | } |
352 | } |
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353 | } |
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354 | |
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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) |
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401 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
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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 | } |
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412 | } |
447 | |
413 | |
448 | return v; |
414 | return v; |
449 | } |
415 | } |
450 | |
416 | |
451 | template class noise_gen<vec2d>; |
417 | template class noise_gen<vec2d>; |
452 | template class noise_gen<vec3d>; |
418 | template class noise_gen<vec3d>; |
453 | |
419 | |
454 | ///////////////////////////////////////////////////////////////////////////// |
420 | ///////////////////////////////////////////////////////////////////////////// |
455 | |
421 | |
456 | // find some uncorrelated spot - we assume that noise 2 units away |
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457 | // is completely uncorrelated - this is not true for other coordinates, |
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458 | // but generally works well. |
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459 | template<class vec_t> |
422 | template<class vec_t> |
460 | static vec_t |
423 | 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) |
424 | : octaves (octaves), lac (lacunarity), h (hurst_expo) |
462 | { |
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463 | vec_t r = P; |
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464 | r[0] += i; |
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465 | r[1] += i * 2; |
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466 | return r; |
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467 | } |
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468 | |
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469 | template<class vec_t> |
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470 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity, seed_t seed) |
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471 | : h (hurst_expo), lac (lacunarity) |
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472 | { |
425 | { |
473 | this->seed (seed); |
426 | this->seed (seed); |
474 | |
427 | |
475 | value_t exsum = 0; |
428 | value_t exsum = 0; |
476 | 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; |
477 | |
430 | |
478 | for (int i = 0; i < MAX_OCTAVES; ++i) |
431 | for (int i = 0; i < octaves; ++i) |
479 | { |
432 | { |
480 | ex [i] = pow (lac, -h * i); |
433 | ex [i] = pow (lac, -h * i); |
481 | exsum += ex [i]; |
434 | exsum += ex [i]; |
482 | 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 |
483 | rot [i].set (phi * i + 1); |
436 | rot [i].set (phi * i + 1); |
484 | } |
437 | } |
485 | } |
438 | } |
486 | |
439 | |
487 | template<class vec_t> |
440 | template<class vec_t> |
488 | typename frac_gen<vec_t>::value_t |
441 | typename frac_gen<vec_t>::value_t |
489 | frac_gen<vec_t>::fBm (vec_t P, int octaves) |
442 | frac_gen<vec_t>::fBm (vec_t P) |
490 | { |
443 | { |
491 | value_t v = 0; |
444 | value_t v = 0; |
492 | |
445 | |
493 | for (int i = 0; i < octaves; ++i) |
446 | for (int i = 0; i < octaves; ++i) |
494 | { |
447 | { |
495 | rot [i](P); |
448 | rot [i](P); |
496 | v += noise (ith_octave (P, i)) * ex [i]; |
449 | v += noise (P, i) * ex [i]; |
497 | P *= lac; |
450 | P *= lac; |
498 | } |
451 | } |
499 | |
452 | |
500 | return v * fbm_mul [octaves - 1]; |
453 | return v * fbm_mul [octaves - 1]; |
501 | } |
454 | } |
502 | |
455 | |
503 | template<class vec_t> |
456 | template<class vec_t> |
504 | typename frac_gen<vec_t>::value_t |
457 | typename frac_gen<vec_t>::value_t |
505 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
458 | frac_gen<vec_t>::turbulence (vec_t P) |
506 | { |
459 | { |
507 | value_t v = 0; |
460 | value_t v = 0; |
508 | |
461 | |
509 | for (int i = 0; i < octaves; ++i) |
462 | for (int i = 0; i < octaves; ++i) |
510 | { |
463 | { |
511 | rot [i](P); |
464 | rot [i](P); |
512 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
465 | v += abs (noise (P, i)) * ex [i]; |
513 | P *= lac; |
466 | P *= lac; |
514 | } |
467 | } |
515 | |
468 | |
516 | return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
469 | return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
517 | } |
470 | } |
518 | |
471 | |
519 | template<class vec_t> |
472 | template<class vec_t> |
520 | typename frac_gen<vec_t>::value_t |
473 | typename frac_gen<vec_t>::value_t |
521 | 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) |
522 | { |
475 | { |
523 | value_t v = 1; |
476 | value_t v = 1; |
524 | |
477 | |
525 | for (int i = 0; i < octaves; ++i) |
478 | for (int i = 0; i < octaves; ++i) |
526 | { |
479 | { |
… | |
… | |
532 | return v * value_t (0.5); |
485 | return v * value_t (0.5); |
533 | } |
486 | } |
534 | |
487 | |
535 | template<class vec_t> |
488 | template<class vec_t> |
536 | typename frac_gen<vec_t>::value_t |
489 | typename frac_gen<vec_t>::value_t |
537 | 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) |
538 | { |
491 | { |
539 | value_t v = noise (P) + offset; |
492 | value_t v = noise (P) + offset; |
540 | |
493 | |
541 | for (int i = 1; i < octaves; ++i) |
494 | for (int i = 1; i < octaves; ++i) |
542 | { |
495 | { |
… | |
… | |
548 | return v / (1 << octaves); |
501 | return v / (1 << octaves); |
549 | } |
502 | } |
550 | |
503 | |
551 | template<class vec_t> |
504 | template<class vec_t> |
552 | typename frac_gen<vec_t>::value_t |
505 | typename frac_gen<vec_t>::value_t |
553 | 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) |
554 | { |
507 | { |
555 | value_t v = (noise (P) + offset) * ex [0]; |
508 | value_t v = (noise (P) + offset) * ex [0]; |
556 | value_t weight = v; |
509 | value_t weight = v; |
557 | |
510 | |
558 | for (int i = 1; i < octaves; ++i) |
511 | for (int i = 1; i < octaves; ++i) |
… | |
… | |
570 | return v * value_t (0.5) + value_t (0.5); |
523 | return v * value_t (0.5) + value_t (0.5); |
571 | } |
524 | } |
572 | |
525 | |
573 | template<class vec_t> |
526 | template<class vec_t> |
574 | typename frac_gen<vec_t>::value_t |
527 | typename frac_gen<vec_t>::value_t |
575 | 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) |
576 | { |
529 | { |
577 | value_t sig = offset - abs (noise (P)); |
530 | value_t sig = offset - abs (noise (P)); |
578 | sig *= sig; |
531 | sig *= sig; |
579 | value_t v = sig; |
532 | value_t v = sig; |
580 | |
533 | |
581 | for (int i = 1; i < octaves; ++i) |
534 | for (int i = 1; i < octaves; ++i) |
582 | { |
535 | { |
583 | rot [i](P); |
536 | rot [i](P); |
584 | P *= lac; |
537 | P *= lac; |
585 | |
538 | |
|
|
539 | // weight higher octaves by previous signal |
586 | value_t w = clamp (sig * gain, 0, 1); |
540 | value_t w = clamp (sig * gain, 0, 1); |
587 | |
541 | |
588 | sig = offset - abs (noise (P)); |
542 | sig = offset - abs (noise (P)); |
589 | sig *= sig; |
543 | sig *= sig; |
590 | sig *= w; |
544 | sig *= w; |
… | |
… | |
595 | return v * value_t (0.25); |
549 | return v * value_t (0.25); |
596 | } |
550 | } |
597 | |
551 | |
598 | template<class vec_t> |
552 | template<class vec_t> |
599 | typename frac_gen<vec_t>::value_t |
553 | typename frac_gen<vec_t>::value_t |
600 | 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) |
601 | { |
555 | { |
602 | value_t v = 0; |
556 | value_t v = 0; |
603 | |
557 | |
604 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
558 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
605 | |
559 | |
606 | for (int i = 0; i < octaves; ++i) |
560 | for (int i = 0; i < octaves; ++i) |
607 | { |
561 | { |
608 | rot [i](P); |
562 | rot [i](P); |
609 | v += (abs (noise (ith_octave (P, i))) * gain - offset) * ex [i]; |
563 | v += (abs (noise (P, i)) * gain - offset) * ex [i]; |
610 | P *= lac; |
564 | P *= lac; |
611 | } |
565 | } |
612 | |
566 | |
613 | return v; |
567 | return v; |
614 | } |
568 | } |
615 | |
569 | |
616 | // 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 |
617 | template<class vec_t> |
571 | template<class vec_t> |
618 | typename frac_gen<vec_t>::value_t |
572 | typename frac_gen<vec_t>::value_t |
619 | frac_gen<vec_t>::terrain (vec_t P, int octaves) |
573 | frac_gen<vec_t>::terrain (vec_t P) |
620 | { |
574 | { |
621 | value_t v = 0; |
575 | value_t v = 0; |
622 | |
576 | |
623 | for (int i = 0; i < octaves; ++i) |
577 | for (int i = 0; i < octaves; ++i) |
624 | { |
578 | { |
… | |
… | |
632 | 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); |
633 | } |
587 | } |
634 | |
588 | |
635 | template<class vec_t> |
589 | template<class vec_t> |
636 | typename frac_gen<vec_t>::value_t |
590 | typename frac_gen<vec_t>::value_t |
637 | frac_gen<vec_t>::terrain2 (vec_t P, int octaves) |
591 | frac_gen<vec_t>::terrain2 (vec_t P) |
638 | { |
592 | { |
639 | value_t a = fBm (P, octaves); |
593 | value_t a = fBm (P); |
640 | value_t b = ridgedmultifractal (P, octaves, 1, 8); |
594 | value_t b = ridgedmultifractal (P, 1, 8); |
641 | value_t fade = fBm (P + vec_t(10.3), octaves); |
595 | value_t fade = fBm (P + vec_t(10.3)); |
642 | |
596 | |
643 | const value_t width = 0.05; |
597 | const value_t width = 0.05; |
644 | |
598 | |
645 | if (fade > 0.5 + width) |
599 | if (fade > 0.5 + width) |
646 | return a; |
600 | return a; |
… | |
… | |
658 | template class frac_gen<vec2d>; |
612 | template class frac_gen<vec2d>; |
659 | template class frac_gen<vec3d>; |
613 | template class frac_gen<vec3d>; |
660 | |
614 | |
661 | ///////////////////////////////////////////////////////////////////////////// |
615 | ///////////////////////////////////////////////////////////////////////////// |
662 | |
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 | |
663 | void noise_test (); |
773 | void noise_test (); |
664 | void noise_test () |
774 | void noise_test () |
665 | { |
775 | { |
666 | frac_gen<vec2d> gen; |
|
|
667 | frac_gen<vec3d> gen3; |
|
|
668 | |
|
|
669 | #if 1 |
776 | #if 0 |
670 | int N = 1024; |
777 | int Nw = 700; |
671 | |
778 | |
672 | printf ("P5 %d %d 255\n", N, N); |
779 | printf ("P6 %d %d 255\n", Nw * 3, Nw * 2); |
673 | // 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 |
674 | for (int y = 0; y < N; ++y) |
781 | for (int y = 0; y < Nw; ++y) |
675 | { |
782 | { |
676 | 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 | } |
677 | for (int x = 0; x < N; ++x) |
790 | for (int y = 0; y < Nw; ++y) |
678 | { |
791 | { |
679 | vec2d P = vec2d (x, y) * (5000.f / N); |
792 | if (!(y&63))fprintf (stderr, "y %d\n", y * 50 / Nw+50);//D |
680 | |
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 | |
681 | //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); |
682 | //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); |
683 | //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); |
684 | //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); |
685 | //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); |
686 | |
|
|
687 | // mountais or somesuch(?) |
|
|
688 | //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); |
689 | |
|
|
690 | // temperature |
|
|
691 | //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); |
692 | // rain |
|
|
693 | |
|
|
694 | float continent = gen.fBm (P * 0.0004, 12) + 0.1f; |
|
|
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 | |
|
|
699 | { |
|
|
700 | const float W = 100; |
|
|
701 | const float N = 5000 - 1; |
|
|
702 | |
|
|
703 | float border = W; // within n places of the border |
|
|
704 | |
|
|
705 | min_it (border, P [0]); |
|
|
706 | min_it (border, N - P [0]); |
|
|
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); |
|
|
718 | |
|
|
719 | //cells |
|
|
720 | //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); |
721 | } |
|
|
722 | } |
|
|
723 | #else |
807 | #else |
724 | int N = 512; |
808 | int N = 200; |
725 | |
809 | |
726 | //printf ("P6 %d %d 255\n", N, N); |
810 | //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 |
811 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
728 | for (int z = 0; z < N; ++z) |
812 | for (int z = 0; z < N; ++z) |
729 | { |
813 | { |
730 | if (!(z&7))fprintf (stderr, "z %d\n", z);//D |
814 | if (!(z&7))fprintf (stderr, "z %d\n", z);//D |
731 | for (int y = 0; y < N; ++y) |
815 | for (int y = 0; y < N; ++y) |
732 | for (int x = 0; x < N; ++x) |
816 | for (int x = 0; x < N; ++x) |
733 | { |
817 | { |
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; |
|
|
735 | |
|
|
736 | #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 | |
737 | if (z < 64) |
821 | if (z < 64) |
738 | v = v * (z * z) / (64 * 64); |
822 | v = v * (z * z) / (64 * 64); |
|
|
823 | |
|
|
824 | if (v <= 0.9) |
|
|
825 | continue; |
739 | #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); |
740 | |
830 | |
741 | if (v <= 0.9999) |
831 | if (v <= 0.48) continue; |
742 | continue; |
|
|
743 | |
832 | |
744 | float r[4]; |
833 | float r[4]; |
745 | int i[4]; |
834 | int i[4]; |
746 | |
835 | |
747 | r[0] = x; |
836 | r[0] = x; |