… | |
… | |
22 | |
22 | |
23 | #include "noise.h" |
23 | #include "noise.h" |
24 | |
24 | |
25 | ///////////////////////////////////////////////////////////////////////////// |
25 | ///////////////////////////////////////////////////////////////////////////// |
26 | |
26 | |
|
|
27 | // perl -e 'for(0..255) { $p = (atan2 1,0) / 64 * $_; printf " %10g, %10g,\n", sin $p, cos $p }' | sort -R |
|
|
28 | static const float charges2[256][2] = { |
|
|
29 | -.975702, -.219101, .893224, .449611, .870087, -.492898, .595699, -.803208, |
|
|
30 | .14673, .989177, .995185, .0980171, .91421, -.405241, -.514103, .857729, |
|
|
31 | -.985278, -.170962, -.689541, -.724247, -.427555, .903989, .83147, -.55557, |
|
|
32 | .999699, -.0245412, .634393, .77301, -.514103, -.857729, -.0735646, -.99729, |
|
|
33 | .514103, -.857729, -.595699, -.803208, -.290285, .95694, .595699, .803208, |
|
|
34 | .266713, .963776, -.33689, .941544, .492898, -.870087, -.471397, -.881921, |
|
|
35 | -.99729, -.0735646, .615232, -.788346, -.91421, -.405241, -.575808, .817585, |
|
|
36 | .0980171, .995185, -.980785, .19509, -.122411, -.99248, .0735646, .99729, |
|
|
37 | -.634393, .77301, -.91421, .405241, .99248, .122411, .903989, -.427555, |
|
|
38 | -.24298, .970031, -.857729, .514103, -.359895, .932993, .382683, .92388, |
|
|
39 | .740951, -.671559, -.893224, .449611, -.95694, -.290285, -.975702, .219101, |
|
|
40 | -.970031, .24298, .999699, .0245412, -.405241, .91421, .985278, .170962, |
|
|
41 | .382683, -.92388, .95694, -.290285, .707107, -.707107, -.817585, -.575808, |
|
|
42 | -.989177, .14673, -.19509, -.980785, -.359895, -.932993, .313682, .949528, |
|
|
43 | -.0980171, .995185, 1, 6.12323e-17, .963776, -.266713, .998795, -.0490677, |
|
|
44 | -.998795, -.0490677, -.970031, -.24298, -.55557, .83147, -.14673, .989177, |
|
|
45 | -.83147, -.55557, -.995185, -.0980171, .870087, .492898, .941544, -.33689, |
|
|
46 | .575808, -.817585, .33689, .941544, .19509, -.980785, 0, 1, |
|
|
47 | .219101, -.975702, -.83147, .55557, .757209, -.653173, -.95694, .290285, |
|
|
48 | -.266713, .963776, -.0490677, .998795, .405241, .91421, -.405241, -.91421, |
|
|
49 | -.689541, .724247, -.534998, -.844854, -.99248, -.122411, .724247, .689541, |
|
|
50 | .492898, .870087, .817585, -.575808, .740951, .671559, -.33689, -.941544, |
|
|
51 | .95694, .290285, .77301, -.634393, .0245412, -.999699, -.77301, -.634393, |
|
|
52 | -.382683, .92388, -.24298, -.970031, -.893224, -.449611, .449611, .893224, |
|
|
53 | .975702, -.219101, -.382683, -.92388, .844854, .534998, -.803208, -.595699, |
|
|
54 | .941544, .33689, .963776, .266713, .932993, .359895, -.0735646, .99729, |
|
|
55 | .634393, -.77301, .405241, -.91421, .33689, -.941544, .99729, .0735646, |
|
|
56 | 1.22465e-16, -1, -.941544, -.33689, .0490677, -.998795, -.313682, .949528, |
|
|
57 | .92388, .382683, -.999699, .0245412, .0245412, .999699, .653173, .757209, |
|
|
58 | -.803208, .595699, .980785, -.19509, .817585, .575808, .975702, .219101, |
|
|
59 | -.615232, -.788346, .99248, -.122411, .998795, .0490677, -.707107, .707107, |
|
|
60 | .803208, -.595699, .671559, .740951, -.757209, -.653173, -.949528, .313682, |
|
|
61 | -.989177, -.14673, -.817585, .575808, -.14673, -.989177, -1, -1.83697e-16, |
|
|
62 | .290285, .95694, -.932993, -.359895, .24298, -.970031, .170962, .985278, |
|
|
63 | -.671559, -.740951, .427555, .903989, .427555, -.903989, -.941544, .33689, |
|
|
64 | -.492898, -.870087, -.266713, -.963776, .857729, -.514103, -.724247, .689541, |
|
|
65 | .724247, -.689541, -.653173, .757209, .689541, -.724247, .949528, -.313682, |
|
|
66 | -.19509, .980785, -.740951, .671559, -.999699, -.0245412, .689541, .724247, |
|
|
67 | .803208, .595699, -.170962, .985278, .0735646, -.99729, .970031, -.24298, |
|
|
68 | -.170962, -.985278, .471397, .881921, .91421, .405241, .893224, -.449611, |
|
|
69 | .0490677, .998795, -.615232, .788346, -.998795, .0490677, -.427555, -.903989, |
|
|
70 | -.0245412, .999699, -.534998, .844854, -.313682, -.949528, -.55557, -.83147, |
|
|
71 | -.903989, -.427555, -.724247, -.689541, -.740951, -.671559, .985278, -.170962, |
|
|
72 | -.857729, -.514103, -.99729, .0735646, .881921, -.471397, .534998, .844854, |
|
|
73 | .359895, -.932993, .77301, .634393, .99729, -.0735646, .290285, -.95694, |
|
|
74 | .575808, .817585, .757209, .653173, .903989, .427555, -.995185, .0980171, |
|
|
75 | -.903989, .427555, -.844854, .534998, -.707107, -.707107, -.92388, .382683, |
|
|
76 | -.653173, -.757209, -.881921, -.471397, -.219101, .975702, -.595699, .803208, |
|
|
77 | .0980171, -.995185, -.788346, .615232, -.0980171, -.995185, -.985278, .170962, |
|
|
78 | .122411, .99248, -.449611, -.893224, .170962, -.985278, .788346, .615232, |
|
|
79 | -.492898, .870087, .671559, -.740951, .449611, -.893224, -.757209, .653173, |
|
|
80 | .83147, .55557, -.290285, -.95694, -.932993, .359895, -.870087, -.492898, |
|
|
81 | .266713, -.963776, -.881921, .471397, -.77301, .634393, -.471397, .881921, |
|
|
82 | .844854, -.534998, .707107, .707107, .534998, -.844854, .514103, .857729, |
|
|
83 | .14673, -.989177, .980785, .19509, -.122411, .99248, -.449611, .893224, |
|
|
84 | .995185, -.0980171, -.634393, -.77301, .857729, .514103, .55557, .83147, |
|
|
85 | -.92388, -.382683, -.844854, -.534998, -.963776, .266713, .989177, -.14673, |
|
|
86 | .313682, -.949528, .359895, .932993, .24298, .970031, -.949528, -.313682, |
|
|
87 | .932993, -.359895, .55557, -.83147, .615232, .788346, -.788346, -.615232, |
|
|
88 | -.0245412, -.999699, -.219101, -.975702, .788346, -.615232, -.99248, .122411, |
|
|
89 | -.671559, .740951, -.870087, .492898, .970031, .24298, .881921, .471397, |
|
|
90 | .122411, -.99248, .471397, -.881921, .19509, .980785, -.963776, -.266713, |
|
|
91 | .92388, -.382683, .989177, .14673, -.575808, -.817585, .219101, .975702, |
|
|
92 | -.0490677, -.998795, -.980785, -.19509, .949528, .313682, .653173, -.757209, |
|
|
93 | }; |
|
|
94 | |
27 | // http://www-wales.ch.cam.ac.uk/~wales/CCD/Thomson/table.html, random permutation |
95 | // http://www-wales.ch.cam.ac.uk/~wales/CCD/Thomson/table.html, random permutation |
|
|
96 | // used as gradient vectors for noise3d |
28 | static const float charges[256][3] = { |
97 | static const float charges3[256][3] = { |
29 | 6.32096444e-01, -6.11406706e-01, 4.76062943e-01, 5.19172442e-01, 8.08229585e-01, -2.77893708e-01, |
98 | 6.32096444e-01, -6.11406706e-01, 4.76062943e-01, 5.19172442e-01, 8.08229585e-01, -2.77893708e-01, |
30 | -8.81072422e-01, -4.68301230e-01, 6.63727731e-02, -1.92122323e-01, 9.81341519e-01, -7.60505942e-03, |
99 | -8.81072422e-01, -4.68301230e-01, 6.63727731e-02, -1.92122323e-01, 9.81341519e-01, -7.60505942e-03, |
31 | -2.57478265e-01, 9.34157733e-01, -2.47091628e-01, 8.75501090e-01, -1.48087600e-01, -4.59965112e-01, |
100 | -2.57478265e-01, 9.34157733e-01, -2.47091628e-01, 8.75501090e-01, -1.48087600e-01, -4.59965112e-01, |
32 | -6.44086082e-01, 3.21868600e-01, 6.93940720e-01, -4.42053435e-01, -1.94962529e-01, -8.75544615e-01, |
101 | -6.44086082e-01, 3.21868600e-01, 6.93940720e-01, -4.42053435e-01, -1.94962529e-01, -8.75544615e-01, |
33 | -6.86776297e-01, 5.34610386e-01, -4.92473403e-01, -8.45541961e-01, -2.41708225e-01, 4.76062943e-01, |
102 | -6.86776297e-01, 5.34610386e-01, -4.92473403e-01, -8.45541961e-01, -2.41708225e-01, 4.76062943e-01, |
… | |
… | |
154 | 4.98855035e-01, -3.98703643e-01, 7.69531714e-01, 2.55373649e-01, -7.56251592e-02, 9.63880249e-01, |
223 | 4.98855035e-01, -3.98703643e-01, 7.69531714e-01, 2.55373649e-01, -7.56251592e-02, 9.63880249e-01, |
155 | -1.51053916e-01, 3.85469253e-01, -9.10272580e-01, 6.78644990e-01, -7.26064181e-01, 1.10778074e-01, |
224 | -1.51053916e-01, 3.85469253e-01, -9.10272580e-01, 6.78644990e-01, -7.26064181e-01, 1.10778074e-01, |
156 | -3.07350590e-01, -9.14677987e-01, 2.62487703e-01, 5.60298616e-01, 1.74821302e-01, 8.09631381e-01, |
225 | -3.07350590e-01, -9.14677987e-01, 2.62487703e-01, 5.60298616e-01, 1.74821302e-01, 8.09631381e-01, |
157 | }; |
226 | }; |
158 | |
227 | |
159 | static vec2d |
228 | ///////////////////////////////////////////////////////////////////////////// |
160 | floor (vec2d v) |
|
|
161 | { |
|
|
162 | return vec2d (std::floor (v[0]), std::floor (v[1])); |
|
|
163 | } |
|
|
164 | |
229 | |
165 | static vec3d |
230 | template<int N, typename T> |
166 | floor (vec3d v) |
231 | void |
|
|
232 | permutation<N,T>::seed (seedable_rand_gen &rng) |
167 | { |
233 | { |
168 | return vec3d (std::floor (v[0]), std::floor (v[1]), std::floor (v[2])); |
234 | for (int i = 0; i < N; ++i) |
169 | } |
235 | pmap[i] = i; |
170 | |
236 | |
171 | noise_gen<vec2d>::noise_gen (uint32_t seed) |
237 | // fisher-yates to randomly perturb |
|
|
238 | for (int i = N; --i; ) |
|
|
239 | ::swap (pmap[i], pmap[rng (i + 1)]); |
|
|
240 | } |
|
|
241 | |
|
|
242 | template class permutation<256, uint8_t>; |
|
|
243 | |
|
|
244 | ///////////////////////////////////////////////////////////////////////////// |
|
|
245 | |
|
|
246 | template<class vec_t> |
|
|
247 | void |
|
|
248 | noise_gen_base<vec_t>::seed (seedable_rand_gen &rng) |
|
|
249 | { |
|
|
250 | for (int i = 0; i < array_length (rvmap); ++i) |
|
|
251 | rvmap[i].seed (rng); |
|
|
252 | } |
|
|
253 | |
|
|
254 | template<class vec_t> |
|
|
255 | void |
|
|
256 | noise_gen_base<vec_t>::seed (seed_t seed) |
172 | { |
257 | { |
173 | seedable_rand_gen rng (seed); |
258 | seedable_rand_gen rng (seed); |
174 | |
259 | |
175 | #if 1 |
260 | this->seed (rng); |
176 | for (int i = 0; i < 256; ++i) |
|
|
177 | { |
|
|
178 | vec2d rv (rng () - 0.5f, rng () - 0.5f); |
|
|
179 | |
|
|
180 | // normalise |
|
|
181 | float mag = 1.f / sqrtf (dot (rv, rv)); |
|
|
182 | |
|
|
183 | rv[0] *= mag; |
|
|
184 | rv[1] *= mag; |
|
|
185 | |
|
|
186 | rvec[i] = rv; |
|
|
187 | } |
|
|
188 | #endif |
|
|
189 | |
|
|
190 | #if 0 |
|
|
191 | float offset = rng () * 3.14159265; |
|
|
192 | |
|
|
193 | for (int i = 0; i < 256; ++i) |
|
|
194 | { |
|
|
195 | float phi = i * (3.14159265 * 2 / 256) + offset; |
|
|
196 | |
|
|
197 | rvec[i][0] = sinf (phi); |
|
|
198 | rvec[i][1] = -cosf (phi); |
|
|
199 | } |
|
|
200 | |
|
|
201 | // fisher-yates to randomly perturb |
|
|
202 | for (int i = 256; --i; ) |
|
|
203 | ::swap (rvec [i], rvec [rng (i + 1)]); |
|
|
204 | #endif |
|
|
205 | |
|
|
206 | rvmap[0].seed (rng); |
|
|
207 | rvmap[1].seed (rng); |
|
|
208 | } |
261 | } |
209 | |
262 | |
|
|
263 | template<> |
210 | vec2d::T_numtype |
264 | vec2d::T_numtype |
211 | noise_gen<vec2d>::operator() (vec2d P) |
265 | noise_gen_base<vec2d>::operator() (vec2d P, uint32_t seed) |
212 | { |
266 | { |
213 | vec2d I = floor (P); |
267 | vec2d I = floor (P); |
214 | vec2d F = P - I; |
268 | vec2d F = P - I; |
215 | |
269 | |
216 | float v = 0; |
270 | value_t v = 0; |
|
|
271 | |
|
|
272 | uint8_t i1 = uint8_t (I[1]) ^ (seed >> 16); |
|
|
273 | uint8_t i0 = uint8_t (I[0]) ^ (seed >> 8); |
217 | |
274 | |
218 | for (int j = -1; j <= 2; ++j) |
275 | for (int j = -1; j <= 2; ++j) |
|
|
276 | { |
|
|
277 | uint8_t h1 = rvmap[1](i1 + j) ^ seed; |
|
|
278 | |
219 | for (int i = -1; i <= 2; ++i) |
279 | for (int i = -1; i <= 2; ++i) |
220 | { |
280 | { |
221 | vec2d A = F - vec2d (i, j); |
281 | vec2d A = F - vec2d (i, j); |
222 | |
|
|
223 | float d = dot (A, A); |
282 | value_t d = dot (A, A); |
224 | |
283 | |
225 | if (d < 4) |
284 | if (d < 4) |
226 | { |
285 | { |
227 | float t1 = 1 - d / 4; |
286 | value_t t1 = 1 - d / 4; |
228 | float t2 = t1 * t1; |
287 | value_t t2 = t1 * t1; |
229 | float t4 = t2 * t2; |
288 | value_t t4 = t2 * t2; |
230 | |
289 | |
231 | float p = (4 * t1 - 3) * t4; |
290 | value_t p = (4 * t1 - 3) * t4; |
232 | |
291 | |
233 | int h = rvmap [0](I[0] + i) ^ rvmap [1](I[1] + j); |
292 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
234 | vec2d G = rvec [h & 0xff]; |
293 | vec2d G = charges2[h & 0xff]; |
235 | |
294 | |
236 | v += dot (A, G) * p; |
295 | v += dot (A, G) * p; |
237 | } |
296 | } |
238 | } |
297 | } |
|
|
298 | } |
239 | |
299 | |
240 | return clamp (v, -.9999999f, .9999999f); |
300 | return v; |
241 | } |
301 | } |
242 | |
302 | |
243 | ///////////////////////////////////////////////////////////////////////////// |
303 | ///////////////////////////////////////////////////////////////////////////// |
244 | |
304 | |
245 | noise_gen<vec3d>::noise_gen (uint32_t seed) |
305 | template<> |
246 | { |
|
|
247 | seedable_rand_gen rng (seed); |
|
|
248 | |
|
|
249 | rvmap [0].seed (rng); |
|
|
250 | rvmap [1].seed (rng); |
|
|
251 | rvmap [2].seed (rng); |
|
|
252 | } |
|
|
253 | |
|
|
254 | vec3d::T_numtype |
306 | vec3d::T_numtype |
255 | noise_gen<vec3d>::operator() (vec3d P) |
307 | noise_gen_base<vec3d>::operator() (vec3d P, uint32_t seed) |
256 | { |
308 | { |
257 | vec3d I = floor (P); |
309 | vec3d I = floor (P); |
258 | vec3d F = P - I; |
310 | vec3d F = P - I; |
259 | |
311 | |
260 | float v = 0; |
312 | uint8_t i2 = uint8_t (I[2]) ^ (seed >> 24); |
|
|
313 | uint8_t i1 = uint8_t (I[1]) ^ (seed >> 16); |
|
|
314 | uint8_t i0 = uint8_t (I[0]) ^ (seed >> 8); |
261 | |
315 | |
262 | for (int j = -1; j <= 2; ++j) |
316 | value_t v = 0; |
263 | for (int i = -1; i <= 2; ++i) |
317 | |
264 | for (int k = -1; k <= 2; ++k) |
318 | for (int k = -1; k <= 2; ++k) |
|
|
319 | { |
|
|
320 | uint8_t h2 = rvmap[2](i2 + k) ^ seed; |
|
|
321 | |
|
|
322 | for (int j = -1; j <= 2; ++j) |
265 | { |
323 | { |
266 | vec3d A = F - vec3d (i, j, k); |
324 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
267 | float d = dot (A, A); |
|
|
268 | |
325 | |
269 | if (d < 4) |
326 | for (int i = -1; i <= 2; ++i) |
270 | { |
327 | { |
271 | float t1 = 1 - d / 4; |
|
|
272 | float t2 = t1 * t1; |
|
|
273 | float t4 = t2 * t2; |
|
|
274 | |
|
|
275 | // (4t⁵ - 3t⁴) |
|
|
276 | float p = (4 * t1 - 3) * t4; |
|
|
277 | |
|
|
278 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
|
|
279 | const float *G = charges[h & 0xff]; |
|
|
280 | |
|
|
281 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
|
|
282 | } |
|
|
283 | } |
|
|
284 | |
|
|
285 | return clamp (v * 2, -.9999999f, .9999999f); |
|
|
286 | } |
|
|
287 | |
|
|
288 | vec3d::T_numtype |
|
|
289 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
|
|
290 | { |
|
|
291 | vec3d I = floor (P); |
|
|
292 | vec3d F = P - I; |
|
|
293 | |
|
|
294 | float v = 0; |
|
|
295 | |
|
|
296 | for (int j = -1; j <= 2; ++j) |
|
|
297 | for (int i = -1; i <= 2; ++i) |
|
|
298 | for (int k = -1; k <= 2; ++k) |
|
|
299 | { |
|
|
300 | vec3d D = F - vec3d (i, j, k); |
328 | vec3d A = F - vec3d (i, j, k); |
301 | float e = dot (D, N); |
|
|
302 | float o = 1 - abs (e); |
|
|
303 | |
|
|
304 | if (o > 0) |
|
|
305 | { |
|
|
306 | vec3d A = D - e * N; |
|
|
307 | float d = dot (A, A); |
329 | value_t d = dot (A, A); |
308 | |
330 | |
309 | if (d < 4) |
331 | if (d < 4) |
310 | { |
332 | { |
311 | float t1 = 1 - d / 4; |
333 | value_t t1 = 1 - d / 4; |
312 | float t2 = t1 * t1; |
334 | value_t t2 = t1 * t1; |
313 | float t4 = t2 * t2; |
335 | value_t t4 = t2 * t2; |
314 | |
336 | |
315 | float o2 = o * o; |
|
|
316 | |
|
|
317 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
337 | // (4t⁵ - 3t⁴) |
318 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
338 | value_t p = (4 * t1 - 3) * t4; |
319 | float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
|
|
320 | |
339 | |
321 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
340 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
322 | const float *G = charges[h & 0xff]; |
341 | const value_t *G = charges3[h & 0xff]; |
323 | |
342 | |
324 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
343 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
325 | } |
344 | } |
326 | } |
345 | } |
327 | } |
346 | } |
|
|
347 | } |
328 | |
348 | |
329 | return clamp (v, -.9999999f, .9999999f); |
349 | return v * 2; |
|
|
350 | } |
|
|
351 | |
|
|
352 | vec3d::T_numtype |
|
|
353 | noise_gen<vec3d>::operator() (vec3d P, vec3d N, uint32_t seed) |
|
|
354 | { |
|
|
355 | vec3d I = floor (P); |
|
|
356 | vec3d F = P - I; |
|
|
357 | |
|
|
358 | uint8_t i2 = uint8_t (I[2]) ^ (seed >> 24); |
|
|
359 | uint8_t i1 = uint8_t (I[1]) ^ (seed >> 16); |
|
|
360 | uint8_t i0 = uint8_t (I[0]) ^ (seed >> 8); |
|
|
361 | |
|
|
362 | value_t v = 0; |
|
|
363 | |
|
|
364 | for (int k = -1; k <= 2; ++k) |
|
|
365 | { |
|
|
366 | uint8_t h2 = rvmap[2](i2 + k) ^ seed; |
|
|
367 | |
|
|
368 | for (int j = -1; j <= 2; ++j) |
|
|
369 | { |
|
|
370 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
|
|
371 | |
|
|
372 | for (int i = -1; i <= 2; ++i) |
|
|
373 | { |
|
|
374 | vec3d D = F - vec3d (i, j, k); |
|
|
375 | value_t e = dot (D, N); |
|
|
376 | value_t o = 1 - abs (e); |
|
|
377 | |
|
|
378 | if (o > 0) |
|
|
379 | { |
|
|
380 | vec3d A = D - e * N; |
|
|
381 | value_t d = dot (A, A); |
|
|
382 | |
|
|
383 | if (d < 4) |
|
|
384 | { |
|
|
385 | value_t t1 = 1 - d / 4; |
|
|
386 | value_t t2 = t1 * t1; |
|
|
387 | value_t t4 = t2 * t2; |
|
|
388 | |
|
|
389 | value_t o2 = o * o; |
|
|
390 | |
|
|
391 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
|
|
392 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
|
|
393 | value_t p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
|
|
394 | |
|
|
395 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
|
|
396 | const value_t *G = charges3[h & 0xff]; |
|
|
397 | |
|
|
398 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
|
|
399 | } |
|
|
400 | } |
|
|
401 | } |
|
|
402 | } |
|
|
403 | } |
|
|
404 | |
|
|
405 | return v; |
330 | } |
406 | } |
331 | |
407 | |
332 | template class noise_gen<vec2d>; |
408 | template class noise_gen<vec2d>; |
333 | template class noise_gen<vec3d>; |
409 | template class noise_gen<vec3d>; |
334 | |
410 | |
335 | ///////////////////////////////////////////////////////////////////////////// |
411 | ///////////////////////////////////////////////////////////////////////////// |
336 | |
412 | |
337 | template<class vec_t> |
413 | template<class vec_t> |
338 | static vec_t |
414 | frac_gen<vec_t>::frac_gen (int octaves, value_t lacunarity, value_t hurst_expo, seed_t seed) |
339 | ith_octave (vec_t P, int i) |
415 | : octaves (octaves), lac (lacunarity), h (hurst_expo) |
340 | { |
416 | { |
341 | vec_t r = P; |
417 | this->seed (seed); |
342 | r[0] += i; |
|
|
343 | return r; |
|
|
344 | } |
|
|
345 | |
418 | |
346 | template<class vec_t> |
|
|
347 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity) |
|
|
348 | : h (hurst_expo), lac (lacunarity), noise_gen<vec_t> (0) |
|
|
349 | { |
|
|
350 | value_t exsum = 0; |
419 | value_t exsum = 0; |
|
|
420 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
351 | |
421 | |
352 | for (int i = 0; i < MAX_OCTAVES; ++i) |
422 | for (int i = 0; i < octaves; ++i) |
353 | { |
423 | { |
354 | ex [i] = powf (lac, -h * i); |
424 | ex [i] = pow (lac, -h * i); |
355 | exsum += ex [i]; |
425 | exsum += ex [i]; |
356 | fbm_mul [i] = 0.5f / (exsum * 0.75f); // .75f is a heuristic |
426 | fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
357 | rot [i].set (0.4488f * i); |
427 | rot [i].set (phi * i + 1); |
358 | } |
428 | } |
359 | } |
429 | } |
360 | |
430 | |
361 | template<class vec_t> |
431 | template<class vec_t> |
362 | typename frac_gen<vec_t>::value_t |
432 | typename frac_gen<vec_t>::value_t |
363 | frac_gen<vec_t>::fBm (vec_t P, int octaves) |
433 | frac_gen<vec_t>::fBm (vec_t P) |
364 | { |
434 | { |
365 | value_t v = 0.f; |
435 | value_t v = 0; |
366 | |
436 | |
367 | for (int i = 0; i < octaves; ++i) |
437 | for (int i = 0; i < octaves; ++i) |
368 | { |
438 | { |
369 | rot [i](P); |
439 | rot [i](P); |
370 | v += noise (ith_octave (P, i)) * ex [i]; |
440 | v += noise (P, i) * ex [i]; |
371 | P *= lac; |
441 | P *= lac; |
372 | } |
442 | } |
373 | |
443 | |
374 | return clamp (v * fbm_mul [octaves - 1] + 0.5f, 0.f, .9999999f); |
444 | return v * fbm_mul [octaves - 1]; |
375 | } |
445 | } |
376 | |
446 | |
377 | template<class vec_t> |
447 | template<class vec_t> |
378 | typename frac_gen<vec_t>::value_t |
448 | typename frac_gen<vec_t>::value_t |
379 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
449 | frac_gen<vec_t>::turbulence (vec_t P) |
380 | { |
450 | { |
381 | value_t v = 0.f; |
451 | value_t v = 0; |
382 | |
452 | |
383 | for (int i = 0; i < octaves; ++i) |
453 | for (int i = 0; i < octaves; ++i) |
384 | { |
454 | { |
385 | rot [i](P); |
455 | rot [i](P); |
386 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
456 | v += abs (noise (P, i)) * ex [i]; |
387 | P *= lac; |
457 | P *= lac; |
388 | } |
458 | } |
389 | |
459 | |
390 | return clamp (v * fbm_mul [octaves - 1] * 2.f, 0.f, .9999999f); |
460 | return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
391 | } |
461 | } |
392 | |
462 | |
393 | template<class vec_t> |
463 | template<class vec_t> |
394 | typename frac_gen<vec_t>::value_t |
464 | typename frac_gen<vec_t>::value_t |
395 | frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
465 | frac_gen<vec_t>::multifractal (vec_t P, value_t offset) |
396 | { |
466 | { |
397 | value_t v = 1.f; |
467 | value_t v = 1; |
398 | |
468 | |
399 | for (int i = 0; i < octaves; ++i) |
469 | for (int i = 0; i < octaves; ++i) |
400 | { |
470 | { |
401 | rot [i](P); |
471 | rot [i](P); |
402 | v *= noise (P) * ex [i] + offset; |
472 | v *= noise (P) * ex [i] + offset; |
403 | P *= lac; |
473 | P *= lac; |
404 | } |
474 | } |
405 | |
475 | |
406 | return clamp (v * 0.5f, 0.f, .9999999f); |
476 | return v * value_t (0.5); |
407 | } |
477 | } |
408 | |
478 | |
409 | template<class vec_t> |
479 | template<class vec_t> |
410 | typename frac_gen<vec_t>::value_t |
480 | typename frac_gen<vec_t>::value_t |
411 | frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
481 | frac_gen<vec_t>::heterofractal (vec_t P, value_t offset) |
412 | { |
482 | { |
413 | value_t v = noise (P) + offset; |
483 | value_t v = noise (P) + offset; |
414 | int i; |
|
|
415 | |
484 | |
416 | for (i = 1; i < octaves; ++i) |
485 | for (int i = 1; i < octaves; ++i) |
417 | { |
486 | { |
418 | rot [i](P); |
487 | rot [i](P); |
419 | P *= lac; |
488 | P *= lac; |
420 | v += v * (noise (P) * ex [i] + offset); |
489 | v += v * (noise (P) * ex [i] + offset); |
421 | } |
490 | } |
422 | |
491 | |
423 | return v / powf (2., octaves); |
492 | return v / (1 << octaves); |
424 | } |
493 | } |
425 | |
494 | |
426 | template<class vec_t> |
495 | template<class vec_t> |
427 | typename frac_gen<vec_t>::value_t |
496 | typename frac_gen<vec_t>::value_t |
428 | frac_gen<vec_t>::hybridfractal (vec_t P, int octaves, value_t offset, value_t gain) |
497 | frac_gen<vec_t>::hybridfractal (vec_t P, value_t offset, value_t gain) |
429 | { |
498 | { |
430 | value_t v = (noise (P) + offset) * ex [0]; |
499 | value_t v = (noise (P) + offset) * ex [0]; |
431 | value_t weight = v; |
500 | value_t weight = v; |
432 | int i; |
|
|
433 | |
501 | |
434 | for (i = 1; i < octaves; ++i) |
502 | for (int i = 1; i < octaves; ++i) |
435 | { |
503 | { |
436 | rot [i](P); |
504 | rot [i](P); |
437 | P *= lac; |
505 | P *= lac; |
438 | |
506 | |
439 | min_it (weight, 1.f); |
507 | min_it (weight, 1); |
440 | |
508 | |
441 | value_t sig = (noise (P) + offset) * ex [i]; |
509 | value_t sig = (noise (P) + offset) * ex [i]; |
442 | v += weight * sig; |
510 | v += weight * sig; |
443 | weight *= gain * sig; |
511 | weight *= gain * sig; |
444 | } |
512 | } |
445 | |
513 | |
446 | return clamp (v * 0.5f + 0.5f, 0.f, .9999999f); |
514 | return v * value_t (0.5) + value_t (0.5); |
447 | } |
515 | } |
448 | |
516 | |
449 | template<class vec_t> |
517 | template<class vec_t> |
450 | typename frac_gen<vec_t>::value_t |
518 | typename frac_gen<vec_t>::value_t |
451 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
519 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, value_t offset, value_t gain) |
452 | { |
520 | { |
453 | value_t sig = offset - abs (noise (P)); |
521 | value_t sig = offset - abs (noise (P)); |
454 | sig *= sig; |
522 | sig *= sig; |
455 | value_t v = sig; |
523 | value_t v = sig; |
456 | |
524 | |
457 | for (int i = 1; i < octaves; ++i) |
525 | for (int i = 1; i < octaves; ++i) |
458 | { |
526 | { |
459 | rot [i](P); |
527 | rot [i](P); |
460 | P *= lac; |
528 | P *= lac; |
461 | |
529 | |
|
|
530 | // weight higher octaves by previous signal |
462 | value_t w = clamp (sig * gain, 0.f, 1.f); |
531 | value_t w = clamp (sig * gain, 0, 1); |
463 | |
532 | |
464 | sig = offset - abs (noise (P)); |
533 | sig = offset - abs (noise (P)); |
465 | sig *= sig; |
534 | sig *= sig; |
466 | sig *= w; |
535 | sig *= w; |
467 | |
536 | |
468 | v += sig * ex [i]; |
537 | v += sig * ex [i]; |
469 | } |
538 | } |
470 | |
539 | |
471 | return clamp (v * 0.25f, 0.f, .9999999f); |
540 | return v * value_t (0.25); |
|
|
541 | } |
|
|
542 | |
|
|
543 | template<class vec_t> |
|
|
544 | typename frac_gen<vec_t>::value_t |
|
|
545 | frac_gen<vec_t>::billowfractal (vec_t P, value_t offset, value_t gain) |
|
|
546 | { |
|
|
547 | value_t v = 0; |
|
|
548 | |
|
|
549 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
|
|
550 | |
|
|
551 | for (int i = 0; i < octaves; ++i) |
|
|
552 | { |
|
|
553 | rot [i](P); |
|
|
554 | v += (abs (noise (P, i)) * gain - offset) * ex [i]; |
|
|
555 | P *= lac; |
|
|
556 | } |
|
|
557 | |
|
|
558 | return v; |
472 | } |
559 | } |
473 | |
560 | |
474 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
561 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
475 | template<class vec_t> |
562 | template<class vec_t> |
476 | typename frac_gen<vec_t>::value_t |
563 | typename frac_gen<vec_t>::value_t |
477 | frac_gen<vec_t>::terrain (vec_t P, int octaves) |
564 | frac_gen<vec_t>::terrain (vec_t P) |
478 | { |
565 | { |
479 | value_t v = 0.f; |
566 | value_t v = 0; |
480 | |
567 | |
481 | for (int i = 0; i < octaves; ++i) |
568 | for (int i = 0; i < octaves; ++i) |
482 | { |
569 | { |
483 | rot [i](P); |
570 | rot [i](P); |
484 | v += noise (P) * ex [i]; |
571 | v += noise (P) * ex [i]; |
485 | P *= lac; |
572 | P *= lac; |
486 | } |
573 | } |
487 | |
574 | |
488 | v *= fbm_mul [octaves - 1]; |
575 | v *= fbm_mul [octaves - 1]; |
489 | |
576 | |
490 | return v <= 0.f ? - powf (-v, 0.7f) : powf (v, 1. + noise (P) * v); |
577 | return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
491 | } |
578 | } |
492 | |
579 | |
493 | template<class vec_t> |
580 | template<class vec_t> |
494 | typename frac_gen<vec_t>::value_t |
581 | typename frac_gen<vec_t>::value_t |
495 | frac_gen<vec_t>::terrain2 (vec_t P, int octaves) |
582 | frac_gen<vec_t>::terrain2 (vec_t P) |
496 | { |
583 | { |
497 | value_t a = fBm (P, octaves); |
584 | value_t a = fBm (P); |
498 | value_t b = ridgedmultifractal (P, octaves, 1, 8); |
585 | value_t b = ridgedmultifractal (P, 1, 8); |
499 | value_t fade = fBm (P + vec_t(10.3), octaves); |
586 | value_t fade = fBm (P + vec_t(10.3)); |
500 | |
587 | |
501 | const value_t width = 0.05f; |
588 | const value_t width = 0.05; |
502 | |
589 | |
503 | if (fade > 0.5f + width) |
590 | if (fade > 0.5 + width) |
504 | return a; |
591 | return a; |
505 | else if (fade < 0.5f - width) |
592 | else if (fade < 0.5 - width) |
506 | return b; |
593 | return b; |
507 | |
594 | |
508 | fade = (fade - 0.5f + width) / (width * 2); |
595 | fade = (fade - 0.5 + width) / (width * 2); |
509 | |
596 | |
510 | // sigmoidal curve |
597 | // sigmoidal curve |
511 | fade = fade * fade * 2 * (1.5f - fade); |
598 | fade = fade * fade * 2 * (1.5 - fade); |
512 | |
599 | |
513 | return a * fade + b * (1 - fade); |
600 | return a * fade + b * (1 - fade); |
514 | } |
601 | } |
515 | |
602 | |
516 | template class frac_gen<vec2d>; |
603 | template class frac_gen<vec2d>; |
517 | template class frac_gen<vec3d>; |
604 | template class frac_gen<vec3d>; |
518 | |
605 | |
519 | ///////////////////////////////////////////////////////////////////////////// |
606 | ///////////////////////////////////////////////////////////////////////////// |
520 | |
607 | |
|
|
608 | void noise_test (); |
|
|
609 | void noise_test () |
|
|
610 | { |
|
|
611 | frac2d gen; |
|
|
612 | |
|
|
613 | frac2d vec_gen1 (4, 2, 0.5, 1); |
|
|
614 | frac2d vec_gen2 (4, 2, 0.5, 2); |
|
|
615 | |
521 | #if 0 |
616 | #if 1 |
522 | void hack(); void hack() |
|
|
523 | { |
|
|
524 | frac_gen<vec2d> gen (0.5, 2); |
|
|
525 | frac_gen<vec3d> gen3; |
|
|
526 | |
|
|
527 | #if 0 |
|
|
528 | int N = 1024; |
617 | int N = 1024; |
529 | |
618 | |
530 | printf ("P5 %d %d 255\n", N, N); |
619 | printf ("P6 %d %d 255\n", N, N); |
531 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
620 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
532 | for (int y = 0; y < N; ++y) |
621 | for (int y = 0; y < N; ++y) |
533 | { |
622 | { |
534 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
623 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
535 | for (int x = 0; x < N; ++x) |
624 | for (int x = 0; x < N; ++x) |
536 | { |
625 | { |
|
|
626 | vec2d P = vec2d (x, y) * (25000.f / N); |
|
|
627 | |
537 | //putc (127 * n.noise (x * 0.1, y * 0.1, 0, 0,0,1) + 128, stdout); |
628 | //putc (127 * gen.noise (vec2d (x * 0.01, y * 0.01)) + 128, stdout); |
538 | //putc (256 * gen.terrain2 (x * 0.004, y * 0.004, 8), stdout); |
629 | //putc (256 * gen.terrain2 (x * 0.004, y * 0.004, 8), stdout); |
539 | //putc (256 * gen.fBm (x * 0.01, y * 0.01, 3), stdout); |
630 | //putc (256 * gen.fBm (vec2d(x * 0.01, y * 0.01), 16), stdout); |
540 | //putc (256 * gen.turbulence (x * 0.004 - 1, y * 0.004 - 1, 8), stdout); |
631 | //putc (256 * gen.turbulence (vec2d (x * 0.004 - 1, y * 0.004 - 1), 10), stdout); |
541 | //putc (256 * gen.heterofractal (x * 0.008, y * 0.008, 8, 0.9), stdout); |
632 | //putc (256 * gen.heterofractal (vec2d (x * 0.008, y * 0.008), 8, 0.9), stdout); |
542 | |
633 | |
543 | // mountais or somesuch(?) |
634 | // mountais or somesuch(?) |
544 | //putc (256 * gen.hybridfractal (x * 0.01, y * 0.01, 8, -.4, -4), stdout); |
635 | //putc (256 * gen.hybridfractal (vec2d (x * 0.01, y * 0.01), 8, -.4, -4), stdout); |
545 | |
636 | |
546 | // temperature |
637 | // temperature |
547 | //putc (256 * gen.fBm (x * 0.002, y * 0.002, 2), stdout); |
638 | //putc (256 * gen.fBm (vec2d (x * 0.002, y * 0.002), 2), stdout); |
548 | // rain |
639 | // rain |
549 | //putc (256 * gen.ridgedmultifractal (x * 0.01, y * 0.01, 3, 1.03, 2), stdout); |
640 | |
|
|
641 | float continent; |
|
|
642 | |
|
|
643 | { |
|
|
644 | const float continent_scale = 0.00008; |
|
|
645 | |
|
|
646 | vec2d perturb ( |
|
|
647 | vec_gen1.fBm (P * 0.0004), |
|
|
648 | vec_gen2.fBm (P * 0.0004) |
|
|
649 | ); |
|
|
650 | |
|
|
651 | const float W = 1000 * continent_scale; |
|
|
652 | const float N = (25000 - 1) * continent_scale; |
|
|
653 | |
|
|
654 | static frac2d perturb_gen (4, 2, 0.5, 3); |
|
|
655 | float perturb_perturb = gen.fBm (P * 0.0004); |
|
|
656 | perturb_perturb = perturb_perturb * perturb_perturb * 0.004; |
|
|
657 | |
|
|
658 | vec2d P_perturb = P * continent_scale + perturb * min (W, gen.noise (P * perturb_perturb) * W * 8); |
|
|
659 | |
|
|
660 | static frac2d continent_gen (13, 2.13, 0.5); |
|
|
661 | continent = continent_gen.fBm (P_perturb) + 0.05f; |
|
|
662 | |
|
|
663 | float border = W; // within n places of the border |
|
|
664 | |
|
|
665 | min_it (border, P_perturb [0]); |
|
|
666 | min_it (border, N - P_perturb [0]); |
|
|
667 | min_it (border, P_perturb [1]); |
|
|
668 | min_it (border, N - P_perturb [1]); |
|
|
669 | |
|
|
670 | continent = blend (-1.f, continent, border, 0.f, W); |
|
|
671 | } |
|
|
672 | |
|
|
673 | vec3d c (1, 1, 1); |
|
|
674 | float v; |
|
|
675 | |
|
|
676 | if (continent < 0) |
|
|
677 | { |
|
|
678 | // ocean |
|
|
679 | |
|
|
680 | v = min (continent * 10, -0.2f); |
|
|
681 | c = vec3d (0, 0, 1); |
|
|
682 | } |
|
|
683 | else |
|
|
684 | { |
|
|
685 | // continent |
|
|
686 | |
|
|
687 | // big rivers |
|
|
688 | static frac2d river_gen (2); |
|
|
689 | float river1 = river_gen.fBm (P * 0.0004);// - (P[0] / 25000) * 0.18 + 0.06; |
|
|
690 | float river2 = river_gen.ridgedmultifractal (P * 0.04 + vec2d (3, 5), 0.8, 10) - (P[1] / 25000) * 0.1; |
|
|
691 | |
|
|
692 | if (river1 > 0.05f) |
|
|
693 | { |
|
|
694 | v = -0.1f; |
|
|
695 | c = vec3d (0.4, 0.4, 1); |
|
|
696 | } |
|
|
697 | else if (river1 > 0.08f && river2 > 0.1f) |
|
|
698 | { |
|
|
699 | v = -0.05f; |
|
|
700 | c = vec3d (0.4, 0.4, 1); |
|
|
701 | } |
|
|
702 | else |
|
|
703 | { |
|
|
704 | river1 -= 0.07f; |
|
|
705 | |
|
|
706 | //c = river1 > 0 ? vec3d (0.8, 0.8, 0) : vec3d (0.8, 0, 0); |
|
|
707 | c = blend0 (vec3d (0.8, 0, 0), vec3d (0.8, 0.8, 0), river1, 0.01f);; |
|
|
708 | |
|
|
709 | static frac2d mountain_gen (8, 2.14, 0.5); |
|
|
710 | float mountain = mountain_gen.ridgedmultifractal (P * 0.004); |
|
|
711 | v = blend0 (mountain * 3 - 1, continent, river1, 0.05f); |
|
|
712 | } |
|
|
713 | |
|
|
714 | v=abs(river1) < 0.1; |
|
|
715 | c=vec3d(1,1,1); |
|
|
716 | } |
|
|
717 | |
|
|
718 | c *= v * 0.5 + 0.5; |
|
|
719 | |
|
|
720 | putc (clamp<int> (255 * c[0], 0, 255), stdout); |
|
|
721 | putc (clamp<int> (255 * c[1], 0, 255), stdout); |
|
|
722 | putc (clamp<int> (255 * c[2], 0, 255), stdout); |
|
|
723 | |
|
|
724 | //cells |
|
|
725 | //putc (127.49 * gen.billowfractal (vec2d (x * 0.01, y * 0.01), 9) + 128, stdout); |
550 | } |
726 | } |
551 | } |
727 | } |
552 | #else |
728 | #else |
553 | int N = 512; |
729 | int N = 128; |
554 | |
730 | |
555 | //printf ("P6 %d %d 255\n", N, N); |
731 | //printf ("P6 %d %d 255\n", N, N); |
556 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
732 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
|
|
733 | frac3d gen3 (3);; |
557 | for (int z = 0; z < N; ++z) |
734 | for (int z = 0; z < N; ++z) |
558 | { |
735 | { |
559 | if (!(z&7))fprintf (stderr, "z %d\n", z);//D |
736 | if (!(z&7))fprintf (stderr, "z %d\n", z);//D |
560 | for (int y = 0; y < N; ++y) |
737 | for (int y = 0; y < N; ++y) |
561 | for (int x = 0; x < N; ++x) |
738 | for (int x = 0; x < N; ++x) |
562 | { |
739 | { |
563 | float v = gen3.ridgedmultifractal (vec3d (x * 0.01 + 0.2, y * 0.01 + 0.2, z * 0.01 + 0.2), 3, 1.03, 2) * 2; |
740 | float v = gen3.ridgedmultifractal (vec3d (x * 0.001 + 0.2, y * 0.001 + 0.2, z * 0.01 + 0.2), 1.03, 2) * 2; |
564 | |
741 | |
565 | #if 0 |
742 | #if 0 |
566 | if (z < 64) |
743 | if (z < 64) |
567 | v = v * (z * z) / (64 * 64); |
744 | v = v * (z * z) / (64 * 64); |
568 | #endif |
745 | #endif |
569 | |
746 | |
570 | if (v <= 0.9999) |
747 | if (v <= 0.9) |
571 | continue; |
748 | continue; |
572 | |
749 | |
573 | float r[4]; |
750 | float r[4]; |
574 | int i[4]; |
751 | int i[4]; |
575 | |
752 | |
… | |
… | |
590 | } |
767 | } |
591 | #endif |
768 | #endif |
592 | |
769 | |
593 | exit (0); |
770 | exit (0); |
594 | } |
771 | } |
595 | #endif |
|
|