| 1 | /* |
1 | /* |
| 2 | * This file is part of Deliantra, the Roguelike Realtime MMORPG. |
2 | * This file is part of Deliantra, the Roguelike Realtime MMORPG. |
| 3 | * |
3 | * |
| 4 | * Copyright (©) 2010 Marc Alexander Lehmann / Robin Redeker / the Deliantra team |
4 | * Copyright (©) 2010,2011 Marc Alexander Lehmann / Robin Redeker / the Deliantra team |
| 5 | * |
5 | * |
| 6 | * Deliantra is free software: you can redistribute it and/or modify it under |
6 | * Deliantra is free software: you can redistribute it and/or modify it under |
| 7 | * the terms of the Affero GNU General Public License as published by the |
7 | * the terms of the Affero GNU General Public License as published by the |
| 8 | * Free Software Foundation, either version 3 of the License, or (at your |
8 | * Free Software Foundation, either version 3 of the License, or (at your |
| 9 | * option) any later version. |
9 | * option) any later version. |
| … | |
… | |
| 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 |
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28 | static const float charges2[256][2] = { |
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29 | -.975702, -.219101, .893224, .449611, .870087, -.492898, .595699, -.803208, |
|
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30 | .14673, .989177, .995185, .0980171, .91421, -.405241, -.514103, .857729, |
|
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31 | -.985278, -.170962, -.689541, -.724247, -.427555, .903989, .83147, -.55557, |
|
|
32 | .999699, -.0245412, .634393, .77301, -.514103, -.857729, -.0735646, -.99729, |
|
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33 | .514103, -.857729, -.595699, -.803208, -.290285, .95694, .595699, .803208, |
|
|
34 | .266713, .963776, -.33689, .941544, .492898, -.870087, -.471397, -.881921, |
|
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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, |
|
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42 | -.989177, .14673, -.19509, -.980785, -.359895, -.932993, .313682, .949528, |
|
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43 | -.0980171, .995185, 1, 6.12323e-17, .963776, -.266713, .998795, -.0490677, |
|
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44 | -.998795, -.0490677, -.970031, -.24298, -.55557, .83147, -.14673, .989177, |
|
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45 | -.83147, -.55557, -.995185, -.0980171, .870087, .492898, .941544, -.33689, |
|
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46 | .575808, -.817585, .33689, .941544, .19509, -.980785, 0, 1, |
|
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47 | .219101, -.975702, -.83147, .55557, .757209, -.653173, -.95694, .290285, |
|
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48 | -.266713, .963776, -.0490677, .998795, .405241, .91421, -.405241, -.91421, |
|
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49 | -.689541, .724247, -.534998, -.844854, -.99248, -.122411, .724247, .689541, |
|
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50 | .492898, .870087, .817585, -.575808, .740951, .671559, -.33689, -.941544, |
|
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51 | .95694, .290285, .77301, -.634393, .0245412, -.999699, -.77301, -.634393, |
|
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52 | -.382683, .92388, -.24298, -.970031, -.893224, -.449611, .449611, .893224, |
|
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53 | .975702, -.219101, -.382683, -.92388, .844854, .534998, -.803208, -.595699, |
|
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54 | .941544, .33689, .963776, .266713, .932993, .359895, -.0735646, .99729, |
|
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55 | .634393, -.77301, .405241, -.91421, .33689, -.941544, .99729, .0735646, |
|
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56 | 1.22465e-16, -1, -.941544, -.33689, .0490677, -.998795, -.313682, .949528, |
|
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57 | .92388, .382683, -.999699, .0245412, .0245412, .999699, .653173, .757209, |
|
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58 | -.803208, .595699, .980785, -.19509, .817585, .575808, .975702, .219101, |
|
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59 | -.615232, -.788346, .99248, -.122411, .998795, .0490677, -.707107, .707107, |
|
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60 | .803208, -.595699, .671559, .740951, -.757209, -.653173, -.949528, .313682, |
|
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61 | -.989177, -.14673, -.817585, .575808, -.14673, -.989177, -1, -1.83697e-16, |
|
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62 | .290285, .95694, -.932993, -.359895, .24298, -.970031, .170962, .985278, |
|
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63 | -.671559, -.740951, .427555, .903989, .427555, -.903989, -.941544, .33689, |
|
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64 | -.492898, -.870087, -.266713, -.963776, .857729, -.514103, -.724247, .689541, |
|
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65 | .724247, -.689541, -.653173, .757209, .689541, -.724247, .949528, -.313682, |
|
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66 | -.19509, .980785, -.740951, .671559, -.999699, -.0245412, .689541, .724247, |
|
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67 | .803208, .595699, -.170962, .985278, .0735646, -.99729, .970031, -.24298, |
|
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68 | -.170962, -.985278, .471397, .881921, .91421, .405241, .893224, -.449611, |
|
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69 | .0490677, .998795, -.615232, .788346, -.998795, .0490677, -.427555, -.903989, |
|
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70 | -.0245412, .999699, -.534998, .844854, -.313682, -.949528, -.55557, -.83147, |
|
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71 | -.903989, -.427555, -.724247, -.689541, -.740951, -.671559, .985278, -.170962, |
|
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72 | -.857729, -.514103, -.99729, .0735646, .881921, -.471397, .534998, .844854, |
|
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73 | .359895, -.932993, .77301, .634393, .99729, -.0735646, .290285, -.95694, |
|
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74 | .575808, .817585, .757209, .653173, .903989, .427555, -.995185, .0980171, |
|
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75 | -.903989, .427555, -.844854, .534998, -.707107, -.707107, -.92388, .382683, |
|
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76 | -.653173, -.757209, -.881921, -.471397, -.219101, .975702, -.595699, .803208, |
|
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77 | .0980171, -.995185, -.788346, .615232, -.0980171, -.995185, -.985278, .170962, |
|
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78 | .122411, .99248, -.449611, -.893224, .170962, -.985278, .788346, .615232, |
|
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79 | -.492898, .870087, .671559, -.740951, .449611, -.893224, -.757209, .653173, |
|
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80 | .83147, .55557, -.290285, -.95694, -.932993, .359895, -.870087, -.492898, |
|
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81 | .266713, -.963776, -.881921, .471397, -.77301, .634393, -.471397, .881921, |
|
|
82 | .844854, -.534998, .707107, .707107, .534998, -.844854, .514103, .857729, |
|
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83 | .14673, -.989177, .980785, .19509, -.122411, .99248, -.449611, .893224, |
|
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84 | .995185, -.0980171, -.634393, -.77301, .857729, .514103, .55557, .83147, |
|
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85 | -.92388, -.382683, -.844854, -.534998, -.963776, .266713, .989177, -.14673, |
|
|
86 | .313682, -.949528, .359895, .932993, .24298, .970031, -.949528, -.313682, |
|
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87 | .932993, -.359895, .55557, -.83147, .615232, .788346, -.788346, -.615232, |
|
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88 | -.0245412, -.999699, -.219101, -.975702, .788346, -.615232, -.99248, .122411, |
|
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89 | -.671559, .740951, -.870087, .492898, .970031, .24298, .881921, .471397, |
|
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90 | .122411, -.99248, .471397, -.881921, .19509, .980785, -.963776, -.266713, |
|
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91 | .92388, -.382683, .989177, .14673, -.575808, -.817585, .219101, .975702, |
|
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92 | -.0490677, -.998795, -.980785, -.19509, .949528, .313682, .653173, -.757209, |
|
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93 | }; |
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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 | |
|
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228 | ///////////////////////////////////////////////////////////////////////////// |
|
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229 | |
|
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230 | template<int N, typename T> |
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231 | template<class random_generator> |
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232 | void |
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233 | permutation<N,T>::seed (random_generator &rng) |
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234 | { |
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235 | for (int i = 0; i < N; ++i) |
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236 | pmap[i] = i; |
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237 | |
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238 | // fisher-yates to randomly perturb |
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239 | for (int i = N; --i; ) |
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240 | ::swap (pmap[i], pmap[rng (i + 1)]); |
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241 | } |
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242 | |
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243 | template class permutation<256, uint8_t>; |
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244 | |
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245 | ///////////////////////////////////////////////////////////////////////////// |
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246 | |
| 159 | static vec2d |
247 | static vec2d |
| 160 | floor (vec2d v) |
248 | floor (vec2d v) |
| 161 | { |
249 | { |
| 162 | return vec2d (std::floor (v[0]), std::floor (v[1])); |
250 | return vec2d (std::floor (v[0]), std::floor (v[1])); |
| 163 | } |
251 | } |
| … | |
… | |
| 169 | } |
257 | } |
| 170 | |
258 | |
| 171 | noise_gen<vec2d>::noise_gen (uint32_t seed) |
259 | noise_gen<vec2d>::noise_gen (uint32_t seed) |
| 172 | { |
260 | { |
| 173 | seedable_rand_gen rng (seed); |
261 | seedable_rand_gen rng (seed); |
| 174 | |
|
|
| 175 | #if 1 |
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| 176 | for (int i = 0; i < 256; ++i) |
|
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| 177 | { |
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| 178 | vec2d rv (rng () - 0.5f, rng () - 0.5f); |
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| 179 | |
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| 180 | // normalise |
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| 181 | float mag = 1.f / sqrtf (dot (rv, rv)); |
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| 182 | |
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| 183 | rv[0] *= mag; |
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| 184 | rv[1] *= mag; |
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| 185 | |
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| 186 | rvec[i] = rv; |
|
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| 187 | } |
|
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| 188 | #endif |
|
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| 189 | |
|
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| 190 | #if 0 |
|
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| 191 | float offset = rng () * 3.14159265; |
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| 192 | |
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| 193 | for (int i = 0; i < 256; ++i) |
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| 194 | { |
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| 195 | float phi = i * (3.14159265 * 2 / 256) + offset; |
|
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| 196 | |
|
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| 197 | rvec[i][0] = sinf (phi); |
|
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| 198 | rvec[i][1] = -cosf (phi); |
|
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| 199 | } |
|
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| 200 | |
|
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| 201 | // fisher-yates to randomly perturb |
|
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| 202 | for (int i = 256; --i; ) |
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| 203 | ::swap (rvec [i], rvec [rng (i + 1)]); |
|
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| 204 | #endif |
|
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| 205 | |
262 | |
| 206 | rvmap[0].seed (rng); |
263 | rvmap[0].seed (rng); |
| 207 | rvmap[1].seed (rng); |
264 | rvmap[1].seed (rng); |
| 208 | } |
265 | } |
| 209 | |
266 | |
| … | |
… | |
| 228 | float t2 = t1 * t1; |
285 | float t2 = t1 * t1; |
| 229 | float t4 = t2 * t2; |
286 | float t4 = t2 * t2; |
| 230 | |
287 | |
| 231 | float p = (4 * t1 - 3) * t4; |
288 | float p = (4 * t1 - 3) * t4; |
| 232 | |
289 | |
| 233 | int h = rvmap [0](I[0] + i) ^ rvmap [1](I[1] + j); |
290 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j); |
| 234 | vec2d G = rvec [h & 0xff]; |
291 | vec2d G = charges2[h & 0xff]; |
| 235 | |
292 | |
| 236 | v += dot (A, G) * p; |
293 | v += dot (A, G) * p; |
| 237 | } |
294 | } |
| 238 | } |
295 | } |
| 239 | |
296 | |
| 240 | return clamp (v, -.9999999f, .9999999f); |
297 | return clamp (v, -.9999999, .9999999); |
| 241 | } |
298 | } |
| 242 | |
299 | |
| 243 | ///////////////////////////////////////////////////////////////////////////// |
300 | ///////////////////////////////////////////////////////////////////////////// |
| 244 | |
301 | |
| 245 | noise_gen<vec3d>::noise_gen (uint32_t seed) |
302 | noise_gen<vec3d>::noise_gen (uint32_t seed) |
| … | |
… | |
| 274 | |
331 | |
| 275 | // (4t⁵ - 3t⁴) |
332 | // (4t⁵ - 3t⁴) |
| 276 | float p = (4 * t1 - 3) * t4; |
333 | float p = (4 * t1 - 3) * t4; |
| 277 | |
334 | |
| 278 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
335 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
| 279 | const float *G = charges[h & 0xff]; |
336 | const float *G = charges3[h & 0xff]; |
| 280 | |
337 | |
| 281 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
338 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
| 282 | } |
339 | } |
| 283 | } |
340 | } |
| 284 | |
341 | |
| 285 | return clamp (v * 2, -.9999999f, .9999999f); |
342 | return clamp (v * 2, -.9999999, .9999999); |
| 286 | } |
343 | } |
| 287 | |
344 | |
| 288 | vec3d::T_numtype |
345 | vec3d::T_numtype |
| 289 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
346 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
| 290 | { |
347 | { |
| … | |
… | |
| 317 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
374 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
| 318 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
375 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
| 319 | float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
376 | float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
| 320 | |
377 | |
| 321 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
378 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
| 322 | const float *G = charges[h & 0xff]; |
379 | const float *G = charges3[h & 0xff]; |
| 323 | |
380 | |
| 324 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
381 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
| 325 | } |
382 | } |
| 326 | } |
383 | } |
| 327 | } |
384 | } |
| 328 | |
385 | |
| 329 | return clamp (v, -.9999999f, .9999999f); |
386 | return clamp (v, -.9999999, .9999999); |
| 330 | } |
387 | } |
| 331 | |
388 | |
| 332 | template class noise_gen<vec2d>; |
389 | template class noise_gen<vec2d>; |
| 333 | template class noise_gen<vec3d>; |
390 | template class noise_gen<vec3d>; |
| 334 | |
391 | |
| 335 | ///////////////////////////////////////////////////////////////////////////// |
392 | ///////////////////////////////////////////////////////////////////////////// |
| 336 | |
393 | |
|
|
394 | // find some uncorrelated spot - we assume that noise 2 units away |
|
|
395 | // is completely uncorrelated - this is not true for other coordinates, |
|
|
396 | // but generally works well. |
| 337 | template<class vec_t> |
397 | template<class vec_t> |
| 338 | static vec_t |
398 | static vec_t |
| 339 | ith_octave (vec_t P, int i) |
399 | ith_octave (vec_t P, int i) |
| 340 | { |
400 | { |
| 341 | vec_t r = P; |
401 | vec_t r = P; |
| 342 | r[0] += i; |
402 | r[0] += i; |
|
|
403 | r[1] += i * 2; |
| 343 | return r; |
404 | return r; |
| 344 | } |
405 | } |
| 345 | |
406 | |
| 346 | template<class vec_t> |
407 | template<class vec_t> |
| 347 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity) |
408 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity) |
| 348 | : h (hurst_expo), lac (lacunarity), noise_gen<vec_t> (0) |
409 | : h (hurst_expo), lac (lacunarity), noise_gen<vec_t> (0) |
| 349 | { |
410 | { |
| 350 | value_t exsum = 0; |
411 | value_t exsum = 0; |
|
|
412 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
| 351 | |
413 | |
| 352 | for (int i = 0; i < MAX_OCTAVES; ++i) |
414 | for (int i = 0; i < MAX_OCTAVES; ++i) |
| 353 | { |
415 | { |
| 354 | ex [i] = powf (lac, -h * i); |
416 | ex [i] = pow (lac, -h * i); |
| 355 | exsum += ex [i]; |
417 | exsum += ex [i]; |
| 356 | fbm_mul [i] = 0.5f / (exsum * 0.75f); // .75f is a heuristic |
418 | fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
| 357 | rot [i].set (0.4488f * i); |
419 | rot [i].set (phi * i + 1); |
| 358 | } |
420 | } |
| 359 | } |
421 | } |
| 360 | |
422 | |
| 361 | template<class vec_t> |
423 | template<class vec_t> |
| 362 | typename frac_gen<vec_t>::value_t |
424 | typename frac_gen<vec_t>::value_t |
| 363 | frac_gen<vec_t>::fBm (vec_t P, int octaves) |
425 | frac_gen<vec_t>::fBm (vec_t P, int octaves) |
| 364 | { |
426 | { |
| 365 | value_t v = 0.f; |
427 | value_t v = 0; |
| 366 | |
428 | |
| 367 | for (int i = 0; i < octaves; ++i) |
429 | for (int i = 0; i < octaves; ++i) |
| 368 | { |
430 | { |
| 369 | rot [i](P); |
431 | rot [i](P); |
| 370 | v += noise (ith_octave (P, i)) * ex [i]; |
432 | v += noise (ith_octave (P, i)) * ex [i]; |
| 371 | P *= lac; |
433 | P *= lac; |
| 372 | } |
434 | } |
| 373 | |
435 | |
| 374 | return clamp (v * fbm_mul [octaves - 1] + 0.5f, 0.f, .9999999f); |
436 | return clamp<value_t> (v * fbm_mul [octaves - 1] + 0.5, 0, .9999999); |
| 375 | } |
437 | } |
| 376 | |
438 | |
| 377 | template<class vec_t> |
439 | template<class vec_t> |
| 378 | typename frac_gen<vec_t>::value_t |
440 | typename frac_gen<vec_t>::value_t |
| 379 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
441 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
| 380 | { |
442 | { |
| 381 | value_t v = 0.f; |
443 | value_t v = 0; |
| 382 | |
444 | |
| 383 | for (int i = 0; i < octaves; ++i) |
445 | for (int i = 0; i < octaves; ++i) |
| 384 | { |
446 | { |
| 385 | rot [i](P); |
447 | rot [i](P); |
| 386 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
448 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
| 387 | P *= lac; |
449 | P *= lac; |
| 388 | } |
450 | } |
| 389 | |
451 | |
| 390 | return clamp (v * fbm_mul [octaves - 1] * 2.f, 0.f, .9999999f); |
452 | return clamp<value_t> (v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()), 0, .9999999); |
| 391 | } |
453 | } |
| 392 | |
454 | |
| 393 | template<class vec_t> |
455 | template<class vec_t> |
| 394 | typename frac_gen<vec_t>::value_t |
456 | typename frac_gen<vec_t>::value_t |
| 395 | frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
457 | frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
| 396 | { |
458 | { |
| 397 | value_t v = 1.f; |
459 | value_t v = 1; |
| 398 | |
460 | |
| 399 | for (int i = 0; i < octaves; ++i) |
461 | for (int i = 0; i < octaves; ++i) |
| 400 | { |
462 | { |
| 401 | rot [i](P); |
463 | rot [i](P); |
| 402 | v *= noise (P) * ex [i] + offset; |
464 | v *= noise (P) * ex [i] + offset; |
| 403 | P *= lac; |
465 | P *= lac; |
| 404 | } |
466 | } |
| 405 | |
467 | |
| 406 | return clamp (v * 0.5f, 0.f, .9999999f); |
468 | return clamp<value_t> (v * 0.5, 0, .9999999); |
| 407 | } |
469 | } |
| 408 | |
470 | |
| 409 | template<class vec_t> |
471 | template<class vec_t> |
| 410 | typename frac_gen<vec_t>::value_t |
472 | typename frac_gen<vec_t>::value_t |
| 411 | frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
473 | frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
| 412 | { |
474 | { |
| 413 | value_t v = noise (P) + offset; |
475 | value_t v = noise (P) + offset; |
| 414 | int i; |
|
|
| 415 | |
476 | |
| 416 | for (i = 1; i < octaves; ++i) |
477 | for (int i = 1; i < octaves; ++i) |
| 417 | { |
478 | { |
| 418 | rot [i](P); |
479 | rot [i](P); |
| 419 | P *= lac; |
480 | P *= lac; |
| 420 | v += v * (noise (P) * ex [i] + offset); |
481 | v += v * (noise (P) * ex [i] + offset); |
| 421 | } |
482 | } |
| 422 | |
483 | |
| 423 | return v / powf (2., octaves); |
484 | return v / (1 << octaves); |
| 424 | } |
485 | } |
| 425 | |
486 | |
| 426 | template<class vec_t> |
487 | template<class vec_t> |
| 427 | typename frac_gen<vec_t>::value_t |
488 | typename frac_gen<vec_t>::value_t |
| 428 | frac_gen<vec_t>::hybridfractal (vec_t P, int octaves, value_t offset, value_t gain) |
489 | frac_gen<vec_t>::hybridfractal (vec_t P, int octaves, value_t offset, value_t gain) |
| 429 | { |
490 | { |
| 430 | value_t v = (noise (P) + offset) * ex [0]; |
491 | value_t v = (noise (P) + offset) * ex [0]; |
| 431 | value_t weight = v; |
492 | value_t weight = v; |
| 432 | int i; |
|
|
| 433 | |
493 | |
| 434 | for (i = 1; i < octaves; ++i) |
494 | for (int i = 1; i < octaves; ++i) |
| 435 | { |
495 | { |
| 436 | rot [i](P); |
496 | rot [i](P); |
| 437 | P *= lac; |
497 | P *= lac; |
| 438 | |
498 | |
| 439 | min_it (weight, 1.f); |
499 | min_it (weight, 1); |
| 440 | |
500 | |
| 441 | value_t sig = (noise (P) + offset) * ex [i]; |
501 | value_t sig = (noise (P) + offset) * ex [i]; |
| 442 | v += weight * sig; |
502 | v += weight * sig; |
| 443 | weight *= gain * sig; |
503 | weight *= gain * sig; |
| 444 | } |
504 | } |
| 445 | |
505 | |
| 446 | return clamp (v * 0.5f + 0.5f, 0.f, .9999999f); |
506 | return clamp<value_t> (v * 0.5 + 0.5, 0, .9999999); |
| 447 | } |
507 | } |
| 448 | |
508 | |
| 449 | template<class vec_t> |
509 | template<class vec_t> |
| 450 | typename frac_gen<vec_t>::value_t |
510 | typename frac_gen<vec_t>::value_t |
| 451 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
511 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
| … | |
… | |
| 457 | for (int i = 1; i < octaves; ++i) |
517 | for (int i = 1; i < octaves; ++i) |
| 458 | { |
518 | { |
| 459 | rot [i](P); |
519 | rot [i](P); |
| 460 | P *= lac; |
520 | P *= lac; |
| 461 | |
521 | |
| 462 | value_t w = clamp (sig * gain, 0.f, 1.f); |
522 | value_t w = clamp (sig * gain, 0, 1); |
| 463 | |
523 | |
| 464 | sig = offset - abs (noise (P)); |
524 | sig = offset - abs (noise (P)); |
| 465 | sig *= sig; |
525 | sig *= sig; |
| 466 | sig *= w; |
526 | sig *= w; |
| 467 | |
527 | |
| 468 | v += sig * ex [i]; |
528 | v += sig * ex [i]; |
| 469 | } |
529 | } |
| 470 | |
530 | |
| 471 | return clamp (v * 0.25f, 0.f, .9999999f); |
531 | return clamp<value_t> (v * 0.25, 0, .9999999); |
|
|
532 | } |
|
|
533 | |
|
|
534 | template<class vec_t> |
|
|
535 | typename frac_gen<vec_t>::value_t |
|
|
536 | frac_gen<vec_t>::billowfractal (vec_t P, int octaves, value_t offset, value_t gain) |
|
|
537 | { |
|
|
538 | value_t v = 0; |
|
|
539 | |
|
|
540 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
|
|
541 | |
|
|
542 | for (int i = 0; i < octaves; ++i) |
|
|
543 | { |
|
|
544 | rot [i](P); |
|
|
545 | v += (abs (noise (ith_octave (P, i))) * gain - offset) * ex [i]; |
|
|
546 | P *= lac; |
|
|
547 | } |
|
|
548 | |
|
|
549 | return clamp<value_t> (v, -.9999999, .9999999); |
| 472 | } |
550 | } |
| 473 | |
551 | |
| 474 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
552 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
| 475 | template<class vec_t> |
553 | template<class vec_t> |
| 476 | typename frac_gen<vec_t>::value_t |
554 | typename frac_gen<vec_t>::value_t |
| 477 | frac_gen<vec_t>::terrain (vec_t P, int octaves) |
555 | frac_gen<vec_t>::terrain (vec_t P, int octaves) |
| 478 | { |
556 | { |
| 479 | value_t v = 0.f; |
557 | value_t v = 0; |
| 480 | |
558 | |
| 481 | for (int i = 0; i < octaves; ++i) |
559 | for (int i = 0; i < octaves; ++i) |
| 482 | { |
560 | { |
| 483 | rot [i](P); |
561 | rot [i](P); |
| 484 | v += noise (P) * ex [i]; |
562 | v += noise (P) * ex [i]; |
| 485 | P *= lac; |
563 | P *= lac; |
| 486 | } |
564 | } |
| 487 | |
565 | |
| 488 | v *= fbm_mul [octaves - 1]; |
566 | v *= fbm_mul [octaves - 1]; |
| 489 | |
567 | |
| 490 | return v <= 0.f ? - powf (-v, 0.7f) : powf (v, 1. + noise (P) * v); |
568 | return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
| 491 | } |
569 | } |
| 492 | |
570 | |
| 493 | template<class vec_t> |
571 | template<class vec_t> |
| 494 | typename frac_gen<vec_t>::value_t |
572 | typename frac_gen<vec_t>::value_t |
| 495 | frac_gen<vec_t>::terrain2 (vec_t P, int octaves) |
573 | frac_gen<vec_t>::terrain2 (vec_t P, int octaves) |
| 496 | { |
574 | { |
| 497 | value_t a = fBm (P, octaves); |
575 | value_t a = fBm (P, octaves); |
| 498 | value_t b = ridgedmultifractal (P, octaves, 1, 8); |
576 | value_t b = ridgedmultifractal (P, octaves, 1, 8); |
| 499 | value_t fade = fBm (P + vec_t(10.3), octaves); |
577 | value_t fade = fBm (P + vec_t(10.3), octaves); |
| 500 | |
578 | |
| 501 | const value_t width = 0.05f; |
579 | const value_t width = 0.05; |
| 502 | |
580 | |
| 503 | if (fade > 0.5f + width) |
581 | if (fade > 0.5 + width) |
| 504 | return a; |
582 | return a; |
| 505 | else if (fade < 0.5f - width) |
583 | else if (fade < 0.5 - width) |
| 506 | return b; |
584 | return b; |
| 507 | |
585 | |
| 508 | fade = (fade - 0.5f + width) / (width * 2); |
586 | fade = (fade - 0.5 + width) / (width * 2); |
| 509 | |
587 | |
| 510 | // sigmoidal curve |
588 | // sigmoidal curve |
| 511 | fade = fade * fade * 2 * (1.5f - fade); |
589 | fade = fade * fade * 2 * (1.5 - fade); |
| 512 | |
590 | |
| 513 | return a * fade + b * (1 - fade); |
591 | return a * fade + b * (1 - fade); |
| 514 | } |
592 | } |
| 515 | |
593 | |
| 516 | template class frac_gen<vec2d>; |
594 | template class frac_gen<vec2d>; |
| 517 | template class frac_gen<vec3d>; |
595 | template class frac_gen<vec3d>; |
| 518 | |
596 | |
| 519 | ///////////////////////////////////////////////////////////////////////////// |
597 | ///////////////////////////////////////////////////////////////////////////// |
| 520 | |
598 | |
| 521 | #if 0 |
599 | void noise_test (); |
| 522 | void hack(); void hack() |
600 | void noise_test () |
| 523 | { |
601 | { |
| 524 | frac_gen<vec2d> gen (0.5, 2); |
602 | frac_gen<vec2d> gen (0.5, 1.9); |
| 525 | frac_gen<vec3d> gen3; |
603 | frac_gen<vec3d> gen3; |
| 526 | |
604 | |
| 527 | #if 0 |
605 | #if 1 |
| 528 | int N = 1024; |
606 | int N = 1024; |
| 529 | |
607 | |
| 530 | printf ("P5 %d %d 255\n", N, N); |
608 | printf ("P5 %d %d 255\n", N, N); |
| 531 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
609 | // 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) |
610 | for (int y = 0; y < N; ++y) |
| 533 | { |
611 | { |
| 534 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
612 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
| 535 | for (int x = 0; x < N; ++x) |
613 | for (int x = 0; x < N; ++x) |
| 536 | { |
614 | { |
| 537 | //putc (127 * n.noise (x * 0.1, y * 0.1, 0, 0,0,1) + 128, stdout); |
615 | //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); |
616 | //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); |
617 | //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); |
618 | 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); |
619 | //putc (256 * gen.heterofractal (vec2d (x * 0.008, y * 0.008), 8, 0.9), stdout); |
| 542 | |
620 | |
| 543 | // mountais or somesuch(?) |
621 | // mountais or somesuch(?) |
| 544 | //putc (256 * gen.hybridfractal (x * 0.01, y * 0.01, 8, -.4, -4), stdout); |
622 | //putc (256 * gen.hybridfractal (vec2d (x * 0.01, y * 0.01), 8, -.4, -4), stdout); |
| 545 | |
623 | |
| 546 | // temperature |
624 | // temperature |
| 547 | //putc (256 * gen.fBm (x * 0.002, y * 0.002, 2), stdout); |
625 | //putc (256 * gen.fBm (vec2d (x * 0.002, y * 0.002), 2), stdout); |
| 548 | // rain |
626 | // rain |
| 549 | //putc (256 * gen.ridgedmultifractal (x * 0.01, y * 0.01, 3, 1.03, 2), stdout); |
627 | |
|
|
628 | //cells |
|
|
629 | //putc (127.49 * gen.billowfractal (vec2d (x * 0.01, y * 0.01), 9) + 128, stdout); |
| 550 | } |
630 | } |
| 551 | } |
631 | } |
| 552 | #else |
632 | #else |
| 553 | int N = 512; |
633 | int N = 512; |
| 554 | |
634 | |
| … | |
… | |
| 590 | } |
670 | } |
| 591 | #endif |
671 | #endif |
| 592 | |
672 | |
| 593 | exit (0); |
673 | exit (0); |
| 594 | } |
674 | } |
| 595 | #endif |
|
|
