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 | |
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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, |
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32 | .999699, -.0245412, .634393, .77301, -.514103, -.857729, -.0735646, -.99729, |
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33 | .514103, -.857729, -.595699, -.803208, -.290285, .95694, .595699, .803208, |
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34 | .266713, .963776, -.33689, .941544, .492898, -.870087, -.471397, -.881921, |
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35 | -.99729, -.0735646, .615232, -.788346, -.91421, -.405241, -.575808, .817585, |
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36 | .0980171, .995185, -.980785, .19509, -.122411, -.99248, .0735646, .99729, |
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37 | -.634393, .77301, -.91421, .405241, .99248, .122411, .903989, -.427555, |
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38 | -.24298, .970031, -.857729, .514103, -.359895, .932993, .382683, .92388, |
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39 | .740951, -.671559, -.893224, .449611, -.95694, -.290285, -.975702, .219101, |
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40 | -.970031, .24298, .999699, .0245412, -.405241, .91421, .985278, .170962, |
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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, |
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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, |
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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 |
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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 | void |
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232 | permutation<N,T>::seed (seedable_rand_gen &rng) |
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233 | { |
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234 | for (int i = 0; i < N; ++i) |
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235 | pmap[i] = i; |
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236 | |
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237 | // fisher-yates to randomly perturb |
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238 | for (int i = N; --i; ) |
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239 | ::swap (pmap[i], pmap[rng (i + 1)]); |
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240 | } |
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241 | |
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242 | template class permutation<256, uint8_t>; |
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243 | |
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244 | ///////////////////////////////////////////////////////////////////////////// |
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245 | |
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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 | |
159 | static vec2d |
307 | static vec2d |
160 | floor (vec2d v) |
308 | floor (vec2d v) |
161 | { |
309 | { |
162 | return vec2d (std::floor (v[0]), std::floor (v[1])); |
310 | return vec2d (fastfloor (v[0]), fastfloor (v[1])); |
163 | } |
311 | } |
164 | |
312 | |
165 | static vec3d |
313 | static vec3d |
166 | floor (vec3d v) |
314 | floor (vec3d v) |
167 | { |
315 | { |
168 | return vec3d (std::floor (v[0]), std::floor (v[1]), std::floor (v[2])); |
316 | return vec3d (fastfloor (v[0]), fastfloor (v[1]), fastfloor (v[2])); |
169 | } |
317 | } |
170 | |
318 | |
171 | noise_gen<vec2d>::noise_gen (uint32_t seed) |
319 | template<class vec_t> |
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320 | void |
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321 | noise_gen_base<vec_t>::seed (seedable_rand_gen &rng) |
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322 | { |
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323 | for (int i = 0; i < array_length (rvmap); ++i) |
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324 | rvmap[i].seed (rng); |
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325 | } |
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326 | |
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327 | template<class vec_t> |
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328 | void |
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329 | noise_gen_base<vec_t>::seed (seed_t seed) |
172 | { |
330 | { |
173 | seedable_rand_gen rng (seed); |
331 | seedable_rand_gen rng (seed); |
174 | |
332 | |
175 | #if 1 |
333 | this->seed (rng); |
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 | |
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206 | rvmap[0].seed (rng); |
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207 | rvmap[1].seed (rng); |
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208 | } |
334 | } |
209 | |
335 | |
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336 | template<> |
210 | vec2d::T_numtype |
337 | vec2d::T_numtype |
211 | noise_gen<vec2d>::operator() (vec2d P) |
338 | noise_gen_base<vec2d>::operator() (vec2d P) |
212 | { |
339 | { |
213 | vec2d I = floor (P); |
340 | vec2d I = floor (P); |
214 | vec2d F = P - I; |
341 | vec2d F = P - I; |
215 | |
342 | |
216 | float v = 0; |
343 | float v = 0; |
… | |
… | |
228 | float t2 = t1 * t1; |
355 | float t2 = t1 * t1; |
229 | float t4 = t2 * t2; |
356 | float t4 = t2 * t2; |
230 | |
357 | |
231 | float p = (4 * t1 - 3) * t4; |
358 | float p = (4 * t1 - 3) * t4; |
232 | |
359 | |
233 | int h = rvmap [0](I[0] + i) ^ rvmap [1](I[1] + j); |
360 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j); |
234 | vec2d G = rvec [h & 0xff]; |
361 | vec2d G = charges2[h & 0xff]; |
235 | |
362 | |
236 | v += dot (A, G) * p; |
363 | v += dot (A, G) * p; |
237 | } |
364 | } |
238 | } |
365 | } |
239 | |
366 | |
240 | return clamp (v, -.9999999f, .9999999f); |
367 | return v; |
241 | } |
368 | } |
242 | |
369 | |
243 | ///////////////////////////////////////////////////////////////////////////// |
370 | ///////////////////////////////////////////////////////////////////////////// |
244 | |
371 | |
245 | noise_gen<vec3d>::noise_gen (uint32_t seed) |
372 | template<> |
246 | { |
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247 | seedable_rand_gen rng (seed); |
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248 | |
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249 | rvmap [0].seed (rng); |
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250 | rvmap [1].seed (rng); |
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251 | rvmap [2].seed (rng); |
|
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252 | } |
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253 | |
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254 | vec3d::T_numtype |
373 | vec3d::T_numtype |
255 | noise_gen<vec3d>::operator() (vec3d P) |
374 | noise_gen_base<vec3d>::operator() (vec3d P) |
256 | { |
375 | { |
257 | vec3d I = floor (P); |
376 | vec3d I = floor (P); |
258 | vec3d F = P - I; |
377 | vec3d F = P - I; |
259 | |
378 | |
260 | float v = 0; |
379 | float v = 0; |
… | |
… | |
274 | |
393 | |
275 | // (4t⁵ - 3t⁴) |
394 | // (4t⁵ - 3t⁴) |
276 | float p = (4 * t1 - 3) * t4; |
395 | float p = (4 * t1 - 3) * t4; |
277 | |
396 | |
278 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
397 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
279 | const float *G = charges[h & 0xff]; |
398 | const float *G = charges3[h & 0xff]; |
280 | |
399 | |
281 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
400 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
282 | } |
401 | } |
283 | } |
402 | } |
284 | |
403 | |
285 | return clamp (v * 2, -.9999999f, .9999999f); |
404 | return v * 2; |
286 | } |
405 | } |
287 | |
406 | |
288 | vec3d::T_numtype |
407 | vec3d::T_numtype |
289 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
408 | noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
290 | { |
409 | { |
… | |
… | |
317 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
436 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
318 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
437 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
319 | float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
438 | float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
320 | |
439 | |
321 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
440 | int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
322 | const float *G = charges[h & 0xff]; |
441 | const float *G = charges3[h & 0xff]; |
323 | |
442 | |
324 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
443 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
325 | } |
444 | } |
326 | } |
445 | } |
327 | } |
446 | } |
328 | |
447 | |
329 | return clamp (v, -.9999999f, .9999999f); |
448 | return v; |
330 | } |
449 | } |
331 | |
450 | |
332 | template class noise_gen<vec2d>; |
451 | template class noise_gen<vec2d>; |
333 | template class noise_gen<vec3d>; |
452 | template class noise_gen<vec3d>; |
334 | |
453 | |
335 | ///////////////////////////////////////////////////////////////////////////// |
454 | ///////////////////////////////////////////////////////////////////////////// |
336 | |
455 | |
|
|
456 | // find some uncorrelated spot - we assume that noise 2 units away |
|
|
457 | // is completely uncorrelated - this is not true for other coordinates, |
|
|
458 | // but generally works well. |
337 | template<class vec_t> |
459 | template<class vec_t> |
338 | static vec_t |
460 | static vec_t |
339 | ith_octave (vec_t P, int i) |
461 | ith_octave (vec_t P, int i) |
340 | { |
462 | { |
341 | vec_t r = P; |
463 | vec_t r = P; |
342 | r[0] += i; |
464 | r[0] += i; |
|
|
465 | r[1] += i * 2; |
343 | return r; |
466 | return r; |
344 | } |
467 | } |
345 | |
468 | |
346 | template<class vec_t> |
469 | template<class vec_t> |
347 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity) |
470 | frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity, seed_t seed) |
348 | : h (hurst_expo), lac (lacunarity), noise_gen<vec_t> (0) |
471 | : h (hurst_expo), lac (lacunarity) |
349 | { |
472 | { |
|
|
473 | this->seed (seed); |
|
|
474 | |
350 | value_t exsum = 0; |
475 | value_t exsum = 0; |
|
|
476 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
351 | |
477 | |
352 | for (int i = 0; i < MAX_OCTAVES; ++i) |
478 | for (int i = 0; i < MAX_OCTAVES; ++i) |
353 | { |
479 | { |
354 | ex [i] = powf (lac, -h * i); |
480 | ex [i] = pow (lac, -h * i); |
355 | exsum += ex [i]; |
481 | exsum += ex [i]; |
356 | fbm_mul [i] = 0.5f / (exsum * 0.75f); // .75f is a heuristic |
482 | fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
357 | rot [i].set (0.4488f * i); |
483 | rot [i].set (phi * i + 1); |
358 | } |
484 | } |
359 | } |
485 | } |
360 | |
486 | |
361 | template<class vec_t> |
487 | template<class vec_t> |
362 | typename frac_gen<vec_t>::value_t |
488 | typename frac_gen<vec_t>::value_t |
363 | frac_gen<vec_t>::fBm (vec_t P, int octaves) |
489 | frac_gen<vec_t>::fBm (vec_t P, int octaves) |
364 | { |
490 | { |
365 | value_t v = 0.f; |
491 | value_t v = 0; |
366 | |
492 | |
367 | for (int i = 0; i < octaves; ++i) |
493 | for (int i = 0; i < octaves; ++i) |
368 | { |
494 | { |
369 | rot [i](P); |
495 | rot [i](P); |
370 | v += noise (ith_octave (P, i)) * ex [i]; |
496 | v += noise (ith_octave (P, i)) * ex [i]; |
371 | P *= lac; |
497 | P *= lac; |
372 | } |
498 | } |
373 | |
499 | |
374 | return clamp (v * fbm_mul [octaves - 1] + 0.5f, 0.f, .9999999f); |
500 | return v * fbm_mul [octaves - 1]; |
375 | } |
501 | } |
376 | |
502 | |
377 | template<class vec_t> |
503 | template<class vec_t> |
378 | typename frac_gen<vec_t>::value_t |
504 | typename frac_gen<vec_t>::value_t |
379 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
505 | frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
380 | { |
506 | { |
381 | value_t v = 0.f; |
507 | value_t v = 0; |
382 | |
508 | |
383 | for (int i = 0; i < octaves; ++i) |
509 | for (int i = 0; i < octaves; ++i) |
384 | { |
510 | { |
385 | rot [i](P); |
511 | rot [i](P); |
386 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
512 | v += abs (noise (ith_octave (P, i))) * ex [i]; |
387 | P *= lac; |
513 | P *= lac; |
388 | } |
514 | } |
389 | |
515 | |
390 | return clamp (v * fbm_mul [octaves - 1] * 2.f, 0.f, .9999999f); |
516 | return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
391 | } |
517 | } |
392 | |
518 | |
393 | template<class vec_t> |
519 | template<class vec_t> |
394 | typename frac_gen<vec_t>::value_t |
520 | typename frac_gen<vec_t>::value_t |
395 | frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
521 | frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
396 | { |
522 | { |
397 | value_t v = 1.f; |
523 | value_t v = 1; |
398 | |
524 | |
399 | for (int i = 0; i < octaves; ++i) |
525 | for (int i = 0; i < octaves; ++i) |
400 | { |
526 | { |
401 | rot [i](P); |
527 | rot [i](P); |
402 | v *= noise (P) * ex [i] + offset; |
528 | v *= noise (P) * ex [i] + offset; |
403 | P *= lac; |
529 | P *= lac; |
404 | } |
530 | } |
405 | |
531 | |
406 | return clamp (v * 0.5f, 0.f, .9999999f); |
532 | return v * value_t (0.5); |
407 | } |
533 | } |
408 | |
534 | |
409 | template<class vec_t> |
535 | template<class vec_t> |
410 | typename frac_gen<vec_t>::value_t |
536 | typename frac_gen<vec_t>::value_t |
411 | frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
537 | frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
412 | { |
538 | { |
413 | value_t v = noise (P) + offset; |
539 | value_t v = noise (P) + offset; |
414 | int i; |
|
|
415 | |
540 | |
416 | for (i = 1; i < octaves; ++i) |
541 | for (int i = 1; i < octaves; ++i) |
417 | { |
542 | { |
418 | rot [i](P); |
543 | rot [i](P); |
419 | P *= lac; |
544 | P *= lac; |
420 | v += v * (noise (P) * ex [i] + offset); |
545 | v += v * (noise (P) * ex [i] + offset); |
421 | } |
546 | } |
422 | |
547 | |
423 | return v / powf (2., octaves); |
548 | return v / (1 << octaves); |
424 | } |
549 | } |
425 | |
550 | |
426 | template<class vec_t> |
551 | template<class vec_t> |
427 | typename frac_gen<vec_t>::value_t |
552 | typename frac_gen<vec_t>::value_t |
428 | frac_gen<vec_t>::hybridfractal (vec_t P, int octaves, value_t offset, value_t gain) |
553 | frac_gen<vec_t>::hybridfractal (vec_t P, int octaves, value_t offset, value_t gain) |
429 | { |
554 | { |
430 | value_t v = (noise (P) + offset) * ex [0]; |
555 | value_t v = (noise (P) + offset) * ex [0]; |
431 | value_t weight = v; |
556 | value_t weight = v; |
432 | int i; |
|
|
433 | |
557 | |
434 | for (i = 1; i < octaves; ++i) |
558 | for (int i = 1; i < octaves; ++i) |
435 | { |
559 | { |
436 | rot [i](P); |
560 | rot [i](P); |
437 | P *= lac; |
561 | P *= lac; |
438 | |
562 | |
439 | min_it (weight, 1.f); |
563 | min_it (weight, 1); |
440 | |
564 | |
441 | value_t sig = (noise (P) + offset) * ex [i]; |
565 | value_t sig = (noise (P) + offset) * ex [i]; |
442 | v += weight * sig; |
566 | v += weight * sig; |
443 | weight *= gain * sig; |
567 | weight *= gain * sig; |
444 | } |
568 | } |
445 | |
569 | |
446 | return clamp (v * 0.5f + 0.5f, 0.f, .9999999f); |
570 | return v * value_t (0.5) + value_t (0.5); |
447 | } |
571 | } |
448 | |
572 | |
449 | template<class vec_t> |
573 | template<class vec_t> |
450 | typename frac_gen<vec_t>::value_t |
574 | typename frac_gen<vec_t>::value_t |
451 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
575 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
… | |
… | |
457 | for (int i = 1; i < octaves; ++i) |
581 | for (int i = 1; i < octaves; ++i) |
458 | { |
582 | { |
459 | rot [i](P); |
583 | rot [i](P); |
460 | P *= lac; |
584 | P *= lac; |
461 | |
585 | |
462 | value_t w = clamp (sig * gain, 0.f, 1.f); |
586 | value_t w = clamp (sig * gain, 0, 1); |
463 | |
587 | |
464 | sig = offset - abs (noise (P)); |
588 | sig = offset - abs (noise (P)); |
465 | sig *= sig; |
589 | sig *= sig; |
466 | sig *= w; |
590 | sig *= w; |
467 | |
591 | |
468 | v += sig * ex [i]; |
592 | v += sig * ex [i]; |
469 | } |
593 | } |
470 | |
594 | |
471 | return clamp (v * 0.25f, 0.f, .9999999f); |
595 | return v * value_t (0.25); |
|
|
596 | } |
|
|
597 | |
|
|
598 | template<class vec_t> |
|
|
599 | typename frac_gen<vec_t>::value_t |
|
|
600 | frac_gen<vec_t>::billowfractal (vec_t P, int octaves, value_t offset, value_t gain) |
|
|
601 | { |
|
|
602 | value_t v = 0; |
|
|
603 | |
|
|
604 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
|
|
605 | |
|
|
606 | for (int i = 0; i < octaves; ++i) |
|
|
607 | { |
|
|
608 | rot [i](P); |
|
|
609 | v += (abs (noise (ith_octave (P, i))) * gain - offset) * ex [i]; |
|
|
610 | P *= lac; |
|
|
611 | } |
|
|
612 | |
|
|
613 | return v; |
472 | } |
614 | } |
473 | |
615 | |
474 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
616 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
475 | template<class vec_t> |
617 | template<class vec_t> |
476 | typename frac_gen<vec_t>::value_t |
618 | typename frac_gen<vec_t>::value_t |
477 | frac_gen<vec_t>::terrain (vec_t P, int octaves) |
619 | frac_gen<vec_t>::terrain (vec_t P, int octaves) |
478 | { |
620 | { |
479 | value_t v = 0.f; |
621 | value_t v = 0; |
480 | |
622 | |
481 | for (int i = 0; i < octaves; ++i) |
623 | for (int i = 0; i < octaves; ++i) |
482 | { |
624 | { |
483 | rot [i](P); |
625 | rot [i](P); |
484 | v += noise (P) * ex [i]; |
626 | v += noise (P) * ex [i]; |
485 | P *= lac; |
627 | P *= lac; |
486 | } |
628 | } |
487 | |
629 | |
488 | v *= fbm_mul [octaves - 1]; |
630 | v *= fbm_mul [octaves - 1]; |
489 | |
631 | |
490 | return v <= 0.f ? - powf (-v, 0.7f) : powf (v, 1. + noise (P) * v); |
632 | return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
491 | } |
633 | } |
492 | |
634 | |
493 | template<class vec_t> |
635 | template<class vec_t> |
494 | typename frac_gen<vec_t>::value_t |
636 | typename frac_gen<vec_t>::value_t |
495 | frac_gen<vec_t>::terrain2 (vec_t P, int octaves) |
637 | frac_gen<vec_t>::terrain2 (vec_t P, int octaves) |
496 | { |
638 | { |
497 | value_t a = fBm (P, octaves); |
639 | value_t a = fBm (P, octaves); |
498 | value_t b = ridgedmultifractal (P, octaves, 1, 8); |
640 | value_t b = ridgedmultifractal (P, octaves, 1, 8); |
499 | value_t fade = fBm (P + vec_t(10.3), octaves); |
641 | value_t fade = fBm (P + vec_t(10.3), octaves); |
500 | |
642 | |
501 | const value_t width = 0.05f; |
643 | const value_t width = 0.05; |
502 | |
644 | |
503 | if (fade > 0.5f + width) |
645 | if (fade > 0.5 + width) |
504 | return a; |
646 | return a; |
505 | else if (fade < 0.5f - width) |
647 | else if (fade < 0.5 - width) |
506 | return b; |
648 | return b; |
507 | |
649 | |
508 | fade = (fade - 0.5f + width) / (width * 2); |
650 | fade = (fade - 0.5 + width) / (width * 2); |
509 | |
651 | |
510 | // sigmoidal curve |
652 | // sigmoidal curve |
511 | fade = fade * fade * 2 * (1.5f - fade); |
653 | fade = fade * fade * 2 * (1.5 - fade); |
512 | |
654 | |
513 | return a * fade + b * (1 - fade); |
655 | return a * fade + b * (1 - fade); |
514 | } |
656 | } |
515 | |
657 | |
516 | template class frac_gen<vec2d>; |
658 | template class frac_gen<vec2d>; |
517 | template class frac_gen<vec3d>; |
659 | template class frac_gen<vec3d>; |
518 | |
660 | |
519 | ///////////////////////////////////////////////////////////////////////////// |
661 | ///////////////////////////////////////////////////////////////////////////// |
520 | |
662 | |
521 | #if 0 |
663 | void noise_test (); |
522 | void hack(); void hack() |
664 | void noise_test () |
523 | { |
665 | { |
524 | frac_gen<vec2d> gen (0.5, 2); |
666 | frac_gen<vec2d> gen; |
525 | frac_gen<vec3d> gen3; |
667 | frac_gen<vec3d> gen3; |
526 | |
668 | |
527 | #if 0 |
669 | #if 1 |
528 | int N = 1024; |
670 | int N = 1024; |
529 | |
671 | |
530 | printf ("P5 %d %d 255\n", N, N); |
672 | 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 |
673 | // 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) |
674 | for (int y = 0; y < N; ++y) |
533 | { |
675 | { |
534 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
676 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
535 | for (int x = 0; x < N; ++x) |
677 | for (int x = 0; x < N; ++x) |
536 | { |
678 | { |
|
|
679 | vec2d P = vec2d (x, y) * (5000.f / N); |
|
|
680 | |
537 | //putc (127 * n.noise (x * 0.1, y * 0.1, 0, 0,0,1) + 128, stdout); |
681 | //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); |
682 | //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); |
683 | //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); |
684 | //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); |
685 | //putc (256 * gen.heterofractal (vec2d (x * 0.008, y * 0.008), 8, 0.9), stdout); |
542 | |
686 | |
543 | // mountais or somesuch(?) |
687 | // mountais or somesuch(?) |
544 | //putc (256 * gen.hybridfractal (x * 0.01, y * 0.01, 8, -.4, -4), stdout); |
688 | //putc (256 * gen.hybridfractal (vec2d (x * 0.01, y * 0.01), 8, -.4, -4), stdout); |
545 | |
689 | |
546 | // temperature |
690 | // temperature |
547 | //putc (256 * gen.fBm (x * 0.002, y * 0.002, 2), stdout); |
691 | //putc (256 * gen.fBm (vec2d (x * 0.002, y * 0.002), 2), stdout); |
548 | // rain |
692 | // rain |
549 | //putc (256 * gen.ridgedmultifractal (x * 0.01, y * 0.01, 3, 1.03, 2), stdout); |
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); |
550 | } |
721 | } |
551 | } |
722 | } |
552 | #else |
723 | #else |
553 | int N = 512; |
724 | int N = 512; |
554 | |
725 | |
… | |
… | |
590 | } |
761 | } |
591 | #endif |
762 | #endif |
592 | |
763 | |
593 | exit (0); |
764 | exit (0); |
594 | } |
765 | } |
595 | #endif |
|
|