| 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 (©) 2017,2018 Marc Alexander Lehmann / the Deliantra team |
|
|
5 | * Copyright (©) 2010,2011,2012,2013,2014,2015,2016 Marc Alexander Lehmann / Robin Redeker / the Deliantra team |
| 5 | * |
6 | * |
| 6 | * Deliantra is free software: you can redistribute it and/or modify it under |
7 | * 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 |
8 | * 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 |
9 | * Free Software Foundation, either version 3 of the License, or (at your |
| 9 | * option) any later version. |
10 | * option) any later version. |
| 10 | * |
11 | * |
| 11 | * This program is distributed in the hope that it will be useful, |
12 | * This program is distributed in the hope that it will be useful, |
| 12 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 13 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 14 | * GNU General Public License for more details. |
15 | * GNU General Public License for more details. |
| 15 | * |
16 | * |
| 16 | * You should have received a copy of the Affero GNU General Public License |
17 | * You should have received a copy of the Affero GNU General Public License |
| 17 | * and the GNU General Public License along with this program. If not, see |
18 | * and the GNU General Public License along with this program. If not, see |
| 18 | * <http://www.gnu.org/licenses/>. |
19 | * <http://www.gnu.org/licenses/>. |
| 19 | * |
20 | * |
| 20 | * The authors can be reached via e-mail to <support@deliantra.net> |
21 | * The authors can be reached via e-mail to <support@deliantra.net> |
| 21 | */ |
22 | */ |
| 22 | |
23 | |
| 23 | #include "noise.h" |
24 | #include "noise.h" |
| 24 | |
25 | |
| 25 | ///////////////////////////////////////////////////////////////////////////// |
26 | ///////////////////////////////////////////////////////////////////////////// |
| 26 | |
27 | |
| 27 | noise2d::noise2d (uint32_t seed) |
28 | // perl -e 'for(0..255) { $p = (atan2 1,0) / 64 * $_; printf " %10g, %10g,\n", sin $p, cos $p }' | sort -R |
|
|
29 | static const float charges2[256][2] = { |
|
|
30 | -.975702, -.219101, .893224, .449611, .870087, -.492898, .595699, -.803208, |
|
|
31 | .14673, .989177, .995185, .0980171, .91421, -.405241, -.514103, .857729, |
|
|
32 | -.985278, -.170962, -.689541, -.724247, -.427555, .903989, .83147, -.55557, |
|
|
33 | .999699, -.0245412, .634393, .77301, -.514103, -.857729, -.0735646, -.99729, |
|
|
34 | .514103, -.857729, -.595699, -.803208, -.290285, .95694, .595699, .803208, |
|
|
35 | .266713, .963776, -.33689, .941544, .492898, -.870087, -.471397, -.881921, |
|
|
36 | -.99729, -.0735646, .615232, -.788346, -.91421, -.405241, -.575808, .817585, |
|
|
37 | .0980171, .995185, -.980785, .19509, -.122411, -.99248, .0735646, .99729, |
|
|
38 | -.634393, .77301, -.91421, .405241, .99248, .122411, .903989, -.427555, |
|
|
39 | -.24298, .970031, -.857729, .514103, -.359895, .932993, .382683, .92388, |
|
|
40 | .740951, -.671559, -.893224, .449611, -.95694, -.290285, -.975702, .219101, |
|
|
41 | -.970031, .24298, .999699, .0245412, -.405241, .91421, .985278, .170962, |
|
|
42 | .382683, -.92388, .95694, -.290285, .707107, -.707107, -.817585, -.575808, |
|
|
43 | -.989177, .14673, -.19509, -.980785, -.359895, -.932993, .313682, .949528, |
|
|
44 | -.0980171, .995185, 1, 6.12323e-17, .963776, -.266713, .998795, -.0490677, |
|
|
45 | -.998795, -.0490677, -.970031, -.24298, -.55557, .83147, -.14673, .989177, |
|
|
46 | -.83147, -.55557, -.995185, -.0980171, .870087, .492898, .941544, -.33689, |
|
|
47 | .575808, -.817585, .33689, .941544, .19509, -.980785, 0, 1, |
|
|
48 | .219101, -.975702, -.83147, .55557, .757209, -.653173, -.95694, .290285, |
|
|
49 | -.266713, .963776, -.0490677, .998795, .405241, .91421, -.405241, -.91421, |
|
|
50 | -.689541, .724247, -.534998, -.844854, -.99248, -.122411, .724247, .689541, |
|
|
51 | .492898, .870087, .817585, -.575808, .740951, .671559, -.33689, -.941544, |
|
|
52 | .95694, .290285, .77301, -.634393, .0245412, -.999699, -.77301, -.634393, |
|
|
53 | -.382683, .92388, -.24298, -.970031, -.893224, -.449611, .449611, .893224, |
|
|
54 | .975702, -.219101, -.382683, -.92388, .844854, .534998, -.803208, -.595699, |
|
|
55 | .941544, .33689, .963776, .266713, .932993, .359895, -.0735646, .99729, |
|
|
56 | .634393, -.77301, .405241, -.91421, .33689, -.941544, .99729, .0735646, |
|
|
57 | 1.22465e-16, -1, -.941544, -.33689, .0490677, -.998795, -.313682, .949528, |
|
|
58 | .92388, .382683, -.999699, .0245412, .0245412, .999699, .653173, .757209, |
|
|
59 | -.803208, .595699, .980785, -.19509, .817585, .575808, .975702, .219101, |
|
|
60 | -.615232, -.788346, .99248, -.122411, .998795, .0490677, -.707107, .707107, |
|
|
61 | .803208, -.595699, .671559, .740951, -.757209, -.653173, -.949528, .313682, |
|
|
62 | -.989177, -.14673, -.817585, .575808, -.14673, -.989177, -1, -1.83697e-16, |
|
|
63 | .290285, .95694, -.932993, -.359895, .24298, -.970031, .170962, .985278, |
|
|
64 | -.671559, -.740951, .427555, .903989, .427555, -.903989, -.941544, .33689, |
|
|
65 | -.492898, -.870087, -.266713, -.963776, .857729, -.514103, -.724247, .689541, |
|
|
66 | .724247, -.689541, -.653173, .757209, .689541, -.724247, .949528, -.313682, |
|
|
67 | -.19509, .980785, -.740951, .671559, -.999699, -.0245412, .689541, .724247, |
|
|
68 | .803208, .595699, -.170962, .985278, .0735646, -.99729, .970031, -.24298, |
|
|
69 | -.170962, -.985278, .471397, .881921, .91421, .405241, .893224, -.449611, |
|
|
70 | .0490677, .998795, -.615232, .788346, -.998795, .0490677, -.427555, -.903989, |
|
|
71 | -.0245412, .999699, -.534998, .844854, -.313682, -.949528, -.55557, -.83147, |
|
|
72 | -.903989, -.427555, -.724247, -.689541, -.740951, -.671559, .985278, -.170962, |
|
|
73 | -.857729, -.514103, -.99729, .0735646, .881921, -.471397, .534998, .844854, |
|
|
74 | .359895, -.932993, .77301, .634393, .99729, -.0735646, .290285, -.95694, |
|
|
75 | .575808, .817585, .757209, .653173, .903989, .427555, -.995185, .0980171, |
|
|
76 | -.903989, .427555, -.844854, .534998, -.707107, -.707107, -.92388, .382683, |
|
|
77 | -.653173, -.757209, -.881921, -.471397, -.219101, .975702, -.595699, .803208, |
|
|
78 | .0980171, -.995185, -.788346, .615232, -.0980171, -.995185, -.985278, .170962, |
|
|
79 | .122411, .99248, -.449611, -.893224, .170962, -.985278, .788346, .615232, |
|
|
80 | -.492898, .870087, .671559, -.740951, .449611, -.893224, -.757209, .653173, |
|
|
81 | .83147, .55557, -.290285, -.95694, -.932993, .359895, -.870087, -.492898, |
|
|
82 | .266713, -.963776, -.881921, .471397, -.77301, .634393, -.471397, .881921, |
|
|
83 | .844854, -.534998, .707107, .707107, .534998, -.844854, .514103, .857729, |
|
|
84 | .14673, -.989177, .980785, .19509, -.122411, .99248, -.449611, .893224, |
|
|
85 | .995185, -.0980171, -.634393, -.77301, .857729, .514103, .55557, .83147, |
|
|
86 | -.92388, -.382683, -.844854, -.534998, -.963776, .266713, .989177, -.14673, |
|
|
87 | .313682, -.949528, .359895, .932993, .24298, .970031, -.949528, -.313682, |
|
|
88 | .932993, -.359895, .55557, -.83147, .615232, .788346, -.788346, -.615232, |
|
|
89 | -.0245412, -.999699, -.219101, -.975702, .788346, -.615232, -.99248, .122411, |
|
|
90 | -.671559, .740951, -.870087, .492898, .970031, .24298, .881921, .471397, |
|
|
91 | .122411, -.99248, .471397, -.881921, .19509, .980785, -.963776, -.266713, |
|
|
92 | .92388, -.382683, .989177, .14673, -.575808, -.817585, .219101, .975702, |
|
|
93 | -.0490677, -.998795, -.980785, -.19509, .949528, .313682, .653173, -.757209, |
|
|
94 | }; |
|
|
95 | |
|
|
96 | // http://www-wales.ch.cam.ac.uk/~wales/CCD/Thomson/table.html, random permutation |
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97 | // used as gradient vectors for noise3d |
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98 | static const float charges3[256][3] = { |
|
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99 | 6.32096444e-01, -6.11406706e-01, 4.76062943e-01, 5.19172442e-01, 8.08229585e-01, -2.77893708e-01, |
|
|
100 | -8.81072422e-01, -4.68301230e-01, 6.63727731e-02, -1.92122323e-01, 9.81341519e-01, -7.60505942e-03, |
|
|
101 | -2.57478265e-01, 9.34157733e-01, -2.47091628e-01, 8.75501090e-01, -1.48087600e-01, -4.59965112e-01, |
|
|
102 | -6.44086082e-01, 3.21868600e-01, 6.93940720e-01, -4.42053435e-01, -1.94962529e-01, -8.75544615e-01, |
|
|
103 | -6.86776297e-01, 5.34610386e-01, -4.92473403e-01, -8.45541961e-01, -2.41708225e-01, 4.76062943e-01, |
|
|
104 | 1.87301993e-01, 3.04913657e-01, 9.33780287e-01, -8.21274139e-01, 4.76841979e-01, -3.13257905e-01, |
|
|
105 | 1.82393582e-01, 9.78673695e-01, -9.45006918e-02, -5.13996405e-01, 5.64894294e-01, -6.45524695e-01, |
|
|
106 | -2.85987088e-01, -5.27238900e-01, -8.00144067e-01, 3.72992508e-01, 8.73495087e-01, 3.12862464e-01, |
|
|
107 | 3.07149790e-02, -1.36108589e-01, 9.90217674e-01, -9.42965190e-01, -1.13726556e-01, 3.12862464e-01, |
|
|
108 | -7.63495246e-01, -8.89713729e-02, -6.39655457e-01, -4.93181655e-01, 3.84537051e-01, -7.80322441e-01, |
|
|
109 | 9.59053138e-01, -6.07981062e-03, -2.83160934e-01, 8.47504655e-02, 6.82510620e-01, -7.25945323e-01, |
|
|
110 | 2.72233465e-01, 7.06503091e-01, 6.53255175e-01, -6.69781595e-01, 6.75521448e-01, -3.08323512e-01, |
|
|
111 | -9.83646297e-01, 1.64266522e-01, -7.38679386e-02, -1.33230986e-01, 4.14543427e-02, 9.90217674e-01, |
|
|
112 | -9.68112521e-01, -2.24691711e-01, 1.10778074e-01, 2.60286884e-01, 5.44444585e-01, -7.97390012e-01, |
|
|
113 | -9.59533574e-01, 4.55017306e-02, -2.77893708e-01, 6.34082129e-01, 7.69729420e-01, -7.38679387e-02, |
|
|
114 | 8.71590956e-01, -4.57032412e-01, -1.77343115e-01, -5.65998169e-01, -6.84162385e-01, -4.59965112e-01, |
|
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115 | 1.31348131e-01, -9.34573215e-01, 3.30636620e-01, 9.37743461e-01, -2.44096148e-01, -2.47091628e-01, |
|
|
116 | -2.32019785e-03, -9.49665258e-01, -3.13257905e-01, 5.58257270e-01, -6.92564967e-01, -4.56839782e-01, |
|
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117 | 5.79609682e-01, 2.34839316e-01, -7.80322441e-01, 5.21842141e-02, 4.80310769e-01, -8.75544615e-01, |
|
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118 | 5.48696303e-01, -4.14651366e-01, -7.25945323e-01, -5.13713359e-02, -3.67059868e-01, 9.28777712e-01, |
|
|
119 | -8.31597157e-01, -5.26303703e-01, -1.77343115e-01, 7.60006362e-01, -6.75440951e-02, -6.46396260e-01, |
|
|
120 | -6.35840799e-01, -7.53287574e-01, 1.68119925e-01, 6.00789426e-01, 3.96860609e-01, 6.93940720e-01, |
|
|
121 | -3.99937982e-02, 9.83336115e-01, -1.77343115e-01, -4.74261299e-01, 8.33604286e-01, -2.83160934e-01, |
|
|
122 | 8.74744319e-01, 8.54351386e-02, -4.76993934e-01, 2.64896284e-01, -6.69736874e-01, 6.93745254e-01, |
|
|
123 | -2.24976555e-01, -1.01696579e-01, -9.69042494e-01, 6.08580404e-01, -2.06649545e-01, 7.66110865e-01, |
|
|
124 | -2.32214607e-01, -7.27581091e-01, -6.45524695e-01, -1.14732673e-01, 7.81826288e-01, -6.12849141e-01, |
|
|
125 | -5.46171508e-01, 5.27060305e-01, 6.51079195e-01, 1.70411976e-01, -3.14665113e-01, 9.33780287e-01, |
|
|
126 | -1.14827108e-01, 9.66494440e-01, 2.29571847e-01, 6.62214703e-01, -4.23664923e-01, 6.18045079e-01, |
|
|
127 | 3.43568839e-01, 1.39041052e-01, 9.28777712e-01, 2.65015805e-01, 5.00565290e-01, 8.24136526e-01, |
|
|
128 | -4.26259648e-01, -7.20031380e-01, 5.47592480e-01, 7.57191364e-01, -5.91945814e-01, 2.76154652e-01, |
|
|
129 | 9.94315593e-01, 4.60290452e-02, 9.60095232e-02, 9.70286575e-01, -1.74010497e-01, 1.68119925e-01, |
|
|
130 | 1.34044431e-01, 9.51719864e-01, 2.76154652e-01, -3.21508279e-01, 6.91956864e-01, -6.46396261e-01, |
|
|
131 | -9.15927355e-01, 3.90047734e-01, -9.45507570e-02, -3.57713970e-01, 9.75145600e-03, 9.33780287e-01, |
|
|
132 | 4.58799092e-01, -6.16720593e-01, -6.39655457e-01, -4.06287592e-01, 9.10837959e-01, -7.28327195e-02, |
|
|
133 | 7.69084079e-01, -2.21547533e-01, 5.99521785e-01, 4.32966564e-02, -7.18729210e-01, 6.93940720e-01, |
|
|
134 | 7.91803580e-01, -4.28020920e-01, 4.35712270e-01, 3.04696154e-01, 7.05691965e-01, -6.39655457e-01, |
|
|
135 | 6.46420856e-01, 4.00281039e-01, -6.49549973e-01, 8.31864266e-01, -3.69542234e-01, -4.14053595e-01, |
|
|
136 | 8.23594337e-01, 4.72823279e-01, -3.13257905e-01, -5.85665015e-01, -8.07274355e-01, -7.28327193e-02, |
|
|
137 | -5.65385161e-02, -4.32158277e-01, -9.00023678e-01, 2.06686552e-01, -8.22754465e-01, 5.29486316e-01, |
|
|
138 | 8.65928642e-01, 3.96271834e-01, 3.05182275e-01, 1.87431189e-02, 4.56064322e-01, 8.89749419e-01, |
|
|
139 | -5.94715001e-01, -2.32669312e-01, 7.69531714e-01, 5.99595825e-01, 1.59473663e-02, -8.00144067e-01, |
|
|
140 | 9.58599657e-02, 6.31372955e-01, 7.69531714e-01, 3.20650220e-01, 8.29747462e-01, -4.56839782e-01, |
|
|
141 | -3.13608737e-01, 5.11291534e-01, -8.00144067e-01, -8.67906788e-01, 4.85339988e-01, 1.05749252e-01, |
|
|
142 | 3.22455909e-01, 9.12507983e-01, -2.51696976e-01, 5.15563696e-01, 7.07202113e-01, -4.83796700e-01, |
|
|
143 | 7.50491607e-01, -5.66571271e-01, -3.40234247e-01, -2.58299208e-01, -3.23551155e-01, -9.10272580e-01, |
|
|
144 | 3.49564167e-01, -9.33995942e-01, -7.38679386e-02, 4.02529304e-01, 1.67115347e-01, -9.00023678e-01, |
|
|
145 | 9.45927846e-01, -3.24287947e-01, -7.60505937e-03, -4.04334848e-01, -2.11800144e-01, 8.89749419e-01, |
|
|
146 | 3.41359400e-01, -4.97637347e-01, -7.97390012e-01, 7.43690080e-01, 5.81037425e-01, 3.30636620e-01, |
|
|
147 | -8.15869544e-01, 2.32381428e-01, 5.29486316e-01, -2.73993936e-01, -4.03941386e-01, 8.72787878e-01, |
|
|
148 | -1.14485896e-01, -9.85759380e-01, -1.23172337e-01, -6.69863977e-01, 3.59676363e-01, -6.49549972e-01, |
|
|
149 | -7.96449717e-01, 5.92027384e-01, -1.23172337e-01, -6.19715090e-01, -4.90274553e-01, -6.12849141e-01, |
|
|
150 | -8.65910917e-01, -3.66659161e-01, -3.40234247e-01, 8.46096973e-01, -5.28880485e-01, 6.63727731e-02, |
|
|
151 | -8.91235794e-01, -3.59774050e-01, 2.76154652e-01, 4.20417732e-01, 3.46935142e-01, 8.38382334e-01, |
|
|
152 | -6.38459078e-01, 7.23512413e-01, 2.62487703e-01, -7.53805524e-01, -6.57053571e-01, -7.60505938e-03, |
|
|
153 | 4.47561005e-01, 5.64275348e-01, 6.93745254e-01, 3.49754488e-02, 9.97181715e-01, 6.63727730e-02, |
|
|
154 | -1.28749619e-01, -5.72643486e-01, 8.09631381e-01, -6.36032129e-01, -6.58092804e-01, 4.02960285e-01, |
|
|
155 | -5.37020119e-01, 8.38088040e-01, 9.60095232e-02, -8.78907490e-01, -1.37182495e-01, -4.56839782e-01, |
|
|
156 | -9.33228374e-01, 1.34065997e-01, 3.33333333e-01, 6.80411181e-01, 5.47277055e-01, -4.87368906e-01, |
|
|
157 | -7.12457289e-01, 1.05461526e-01, 6.93745254e-01, 2.30586085e-01, 3.30051738e-01, -9.15366543e-01, |
|
|
158 | 2.34431211e-02, -7.59957402e-01, -6.49549973e-01, -6.98011937e-01, -3.61662294e-01, 6.18045079e-01, |
|
|
159 | 8.59171516e-01, 2.05105173e-01, 4.68781584e-01, 7.11862181e-01, 6.90797320e-01, 1.26693714e-01, |
|
|
160 | -2.12826534e-01, 4.39256402e-01, 8.72787878e-01, -3.62298594e-01, -9.25543476e-01, -1.10040912e-01, |
|
|
161 | -3.63383159e-01, -8.00268371e-01, -4.76993934e-01, -7.76145796e-01, 5.51780285e-01, 3.05182275e-01, |
|
|
162 | -1.92676248e-01, 7.76820116e-01, 5.99521785e-01, -9.19690664e-01, 2.65359911e-01, -2.89401453e-01, |
|
|
163 | -2.52247996e-02, 8.99732475e-01, 4.35712270e-01, 7.52676085e-01, 4.12472645e-01, 5.13171539e-01, |
|
|
164 | -1.19598027e-01, -8.62070913e-01, -4.92473403e-01, 9.40191063e-01, -1.58443230e-02, 3.40278890e-01, |
|
|
165 | -9.89903836e-01, 3.37653035e-02, 1.37660085e-01, 3.00994355e-01, -4.79793064e-01, 8.24136526e-01, |
|
|
166 | 4.35219899e-01, 8.98427220e-01, -5.84137724e-02, -9.54179119e-01, 2.71092073e-01, 1.26693714e-01, |
|
|
167 | 9.02457799e-02, -5.37560007e-01, 8.38382334e-01, -9.58991702e-02, 9.05186704e-01, -4.14053596e-01, |
|
|
168 | -8.97828463e-02, -9.48052118e-01, 3.05182275e-01, -7.79595183e-01, -5.82690413e-01, 2.29571847e-01, |
|
|
169 | -6.01646284e-01, -4.68072388e-02, -7.97390012e-01, -6.80265196e-01, -6.90061585e-01, -2.47091628e-01, |
|
|
170 | 6.89653756e-01, 6.63795523e-01, -2.89401453e-01, -7.35965096e-01, -5.35644470e-01, -4.14053595e-01, |
|
|
171 | -4.83817118e-01, -8.06307183e-01, 3.40278890e-01, -2.51959468e-01, -8.46616946e-01, 4.68781584e-01, |
|
|
172 | 2.89467531e-01, 9.50755892e-01, 1.10778074e-01, -4.31548997e-01, 3.97822184e-01, 8.09631381e-01, |
|
|
173 | 1.03460411e-01, 8.29768433e-01, -5.48434400e-01, -7.70330748e-01, -3.25284873e-01, -5.48434400e-01, |
|
|
174 | 4.75732892e-01, -5.89012642e-01, 6.53255175e-01, -4.56373945e-01, 8.22151506e-01, 3.40278890e-01, |
|
|
175 | -7.47966357e-01, -1.17490449e-01, 6.53255175e-01, -4.84791839e-01, -8.27524476e-01, -2.83160934e-01, |
|
|
176 | -8.75038211e-01, 3.53535790e-01, 3.30636620e-01, 4.09353123e-01, -6.19180984e-02, -9.10272580e-01, |
|
|
177 | -9.95670746e-01, -7.23021212e-02, -5.84137724e-02, -4.57295474e-01, -8.84117086e-01, 9.60095233e-02, |
|
|
178 | -8.64280276e-02, -6.19376367e-01, -7.80322441e-01, 2.44164564e-02, 2.45683701e-01, -9.69042494e-01, |
|
|
179 | 8.94422292e-01, -3.83804027e-01, 2.29571847e-01, -8.62566691e-01, 4.52816156e-03, 5.05923116e-01, |
|
|
180 | 9.19909533e-01, 2.42287152e-01, -3.08323512e-01, -4.01126232e-01, 3.46675383e-02, -9.15366543e-01, |
|
|
181 | 9.51367455e-01, 2.99880902e-01, 7.05082324e-02, -5.61852646e-01, 1.73058019e-01, -8.08932956e-01, |
|
|
182 | 5.60450847e-01, -8.26125099e-01, -5.84137724e-02, -4.83253958e-01, -4.23721318e-01, 7.66110865e-01, |
|
|
183 | -1.91262533e-02, -8.58072933e-01, 5.13171539e-01, 4.27361843e-01, -7.49268748e-01, 5.05923116e-01, |
|
|
184 | 8.06374324e-01, 3.27460527e-01, -4.92473403e-01, -3.49075205e-01, -5.94876216e-01, 7.24064077e-01, |
|
|
185 | 1.70540147e-01, -3.64719277e-01, -9.15366543e-01, -9.51483049e-01, -1.76998983e-01, -2.51696976e-01, |
|
|
186 | -3.34445776e-01, 9.27298072e-01, 1.68119925e-01, -2.58769450e-02, -2.24111854e-01, -9.74219821e-01, |
|
|
187 | 3.50509628e-01, -8.75232478e-01, 3.33333333e-01, -5.11361160e-01, 7.14833233e-01, -4.76993934e-01, |
|
|
188 | 2.13445517e-01, 8.53114931e-01, 4.76062943e-01, -7.35388206e-01, 6.73967933e-01, 7.05082324e-02, |
|
|
189 | -5.10663512e-01, 1.90624866e-01, 8.38382334e-01, 2.07025032e-01, 8.96458354e-02, -9.74219821e-01, |
|
|
190 | 2.30036908e-01, -9.29155434e-01, -2.89401453e-01, -4.38498083e-01, -6.24412769e-01, -6.46396260e-01, |
|
|
191 | 7.56359490e-01, -6.47294323e-01, -9.45006918e-02, -7.33549832e-01, 4.45600288e-01, 5.13171539e-01, |
|
|
192 | 5.69972682e-01, -7.59768531e-01, 3.12862464e-01, 1.36366351e-02, -9.94299320e-01, 1.05749252e-01, |
|
|
193 | -1.20108971e-01, 6.12129242e-01, -7.81582770e-01, -6.20394866e-01, 7.76531524e-01, -1.10040912e-01, |
|
|
194 | 3.85591729e-01, -2.44264178e-01, 8.89749420e-01, -8.14161423e-01, 3.15614840e-01, -4.87368906e-01, |
|
|
195 | 1.15419311e-01, 9.33230432e-01, -3.40234248e-01, 5.90173960e-01, -2.02047201e-01, -7.81582770e-01, |
|
|
196 | 8.54270153e-01, 5.08959332e-01, 1.05749252e-01, 7.95754924e-01, 5.98192490e-01, -9.45507571e-02, |
|
|
197 | 3.54673147e-01, -8.00092315e-01, -4.83796700e-01, 9.91952607e-01, -1.03563604e-01, -7.28327194e-02, |
|
|
198 | -6.21935152e-02, 2.58972647e-01, 9.63880249e-01, -3.09502921e-01, 8.32249985e-01, -4.59965112e-01, |
|
|
199 | 4.65710308e-01, -8.74164521e-01, 1.37660085e-01, 1.33750242e-01, -8.62891895e-01, -4.87368906e-01, |
|
|
200 | -2.51909022e-01, 8.79866384e-01, 4.02960285e-01, -6.67371446e-11, -8.00239945e-11, -1.00000000e+00, |
|
|
201 | -5.76407831e-01, -5.55272584e-01, 5.99521785e-01, -4.70064989e-01, -4.10082041e-01, -7.81582770e-01, |
|
|
202 | 8.36695291e-01, -9.13599363e-03, 5.47592480e-01, 5.24193529e-01, 8.40399218e-01, 1.37660085e-01, |
|
|
203 | 2.48438744e-01, -7.05895175e-01, -6.63317565e-01, 1.20172431e-01, -9.88240224e-01, -9.45507569e-02, |
|
|
204 | 4.30798964e-01, 4.00049655e-01, -8.08932956e-01, -2.50127938e-01, -9.17808600e-01, -3.08323512e-01, |
|
|
205 | 6.09182992e-01, 5.90373037e-01, 5.29486316e-01, -3.40640313e-01, 5.99746104e-01, 7.24064077e-01, |
|
|
206 | 4.40361132e-01, -8.53731316e-01, -2.77893708e-01, -1.83361859e-01, -7.36528553e-01, 6.51079195e-01, |
|
|
207 | 9.82693460e-01, 1.49011952e-01, -1.10040912e-01, 6.29027140e-01, -7.35509000e-01, -2.51696976e-01, |
|
|
208 | -8.70236843e-01, 9.28902018e-02, -4.83796700e-01, 9.45809668e-01, 1.91165575e-01, 2.62487703e-01, |
|
|
209 | 2.00560098e-01, -1.43987122e-01, -9.69042494e-01, 1.02516007e-01, 9.46542469e-02, 9.90217674e-01, |
|
|
210 | -6.07212048e-01, 6.41511773e-01, 4.68781584e-01, 2.42316938e-01, -9.61889393e-01, 1.26693714e-01, |
|
|
211 | 4.87103783e-01, 5.68101851e-01, -6.63317565e-01, -9.38753073e-01, -3.31379371e-01, -9.45006918e-02, |
|
|
212 | 3.89869221e-01, -2.85348240e-01, -8.75544615e-01, -6.33446768e-01, -2.67859254e-01, -7.25945323e-01, |
|
|
213 | 5.82718746e-01, 7.41166481e-01, 3.33333333e-01, 6.66870337e-01, -5.04483561e-01, -5.48434400e-01, |
|
|
214 | 7.34447763e-01, -2.91551734e-01, -6.12849141e-01, 9.10935613e-01, 3.93731996e-01, -1.23172337e-01, |
|
|
215 | 3.57972341e-02, 7.85327217e-01, 6.18045079e-01, -2.92197503e-01, 2.28018816e-01, 9.28777712e-01 |
|
|
216 | -1.93180133e-01, -1.83347487e-01, 9.63880249e-01, -2.15979248e-01, -9.73848835e-01, 7.05082325e-02, |
|
|
217 | 8.87941151e-01, -2.21773580e-01, 4.02960285e-01, 6.89715518e-01, -4.86988739e-03, 7.24064077e-01, |
|
|
218 | -4.10435643e-01, 7.29167374e-01, 5.47592480e-01, 7.46211012e-01, 1.62686797e-01, -6.45524695e-01, |
|
|
219 | -1.81148087e-01, 1.34466019e-01, -9.74219821e-01, -7.66578780e-01, -4.71711555e-01, 4.35712270e-01, |
|
|
220 | -5.66010160e-01, -2.07722258e-02, 8.24136526e-01, 7.29533368e-01, 2.09468249e-01, 6.51079195e-01, |
|
|
221 | -3.45990788e-01, 2.65042929e-01, -9.00023678e-01, -7.35542526e-01, 1.37793324e-01, -6.63317565e-01, |
|
|
222 | -1.25326447e-01, 6.30370863e-01, 7.66110865e-01, 1.31053682e-01, -5.73107674e-01, -8.08932955e-01, |
|
|
223 | 4.86820470e-01, -3.53150162e-02, 8.72787878e-01, 4.35204849e-01, 7.44740586e-01, 5.05923116e-01, |
|
|
224 | 4.98855035e-01, -3.98703643e-01, 7.69531714e-01, 2.55373649e-01, -7.56251592e-02, 9.63880249e-01, |
|
|
225 | -1.51053916e-01, 3.85469253e-01, -9.10272580e-01, 6.78644990e-01, -7.26064181e-01, 1.10778074e-01, |
|
|
226 | -3.07350590e-01, -9.14677987e-01, 2.62487703e-01, 5.60298616e-01, 1.74821302e-01, 8.09631381e-01, |
|
|
227 | }; |
|
|
228 | |
|
|
229 | ///////////////////////////////////////////////////////////////////////////// |
|
|
230 | |
|
|
231 | template<int N, typename T> |
|
|
232 | void |
|
|
233 | permutation<N,T>::seed (seedable_rand_gen &rng) |
|
|
234 | { |
|
|
235 | for (int i = 0; i < N; ++i) |
|
|
236 | pmap[i] = i; |
|
|
237 | |
|
|
238 | // fisher-yates to randomly perturb |
|
|
239 | for (int i = N; --i; ) |
|
|
240 | ::swap (pmap[i], pmap[rng (i + 1)]); |
|
|
241 | } |
|
|
242 | |
|
|
243 | template class permutation<256, uint8_t>; |
|
|
244 | |
|
|
245 | ///////////////////////////////////////////////////////////////////////////// |
|
|
246 | |
|
|
247 | template<class vec_t> |
|
|
248 | void |
|
|
249 | noise_gen_base<vec_t>::seed (seedable_rand_gen &rng) |
|
|
250 | { |
|
|
251 | for (int i = 0; i < array_length (rvmap); ++i) |
|
|
252 | rvmap[i].seed (rng); |
|
|
253 | } |
|
|
254 | |
|
|
255 | template<class vec_t> |
|
|
256 | void |
|
|
257 | noise_gen_base<vec_t>::seed (seed_t seed) |
| 28 | { |
258 | { |
| 29 | seedable_rand_gen rng (seed); |
259 | seedable_rand_gen rng (seed); |
| 30 | |
260 | |
| 31 | for (int i = 0; i < 256; ++i) |
261 | this->seed (rng); |
| 32 | { |
|
|
| 33 | vec2d rv; |
|
|
| 34 | rv[0] = rng () - 0.5f; |
|
|
| 35 | rv[1] = rng () - 0.5f; |
|
|
| 36 | |
|
|
| 37 | // normalise |
|
|
| 38 | float mag = 1.f / sqrtf (rv[0] * rv[0] + rv[1] * rv[1]); |
|
|
| 39 | |
|
|
| 40 | rv[0] *= mag; |
|
|
| 41 | rv[1] *= mag; |
|
|
| 42 | |
|
|
| 43 | rvec[i][0] = rv[0]; |
|
|
| 44 | rvec[i][1] = rv[1]; |
|
|
| 45 | } |
|
|
| 46 | |
|
|
| 47 | rvmap[0].seed (rng); |
|
|
| 48 | rvmap[1].seed (rng); |
|
|
| 49 | } |
262 | } |
| 50 | |
263 | |
| 51 | float |
264 | template<> |
| 52 | noise2d::noise (float x, float y) |
265 | vec2d::T_numtype |
|
|
266 | noise_gen_base<vec2d>::operator() (vec2d P, uint32_t seed) |
| 53 | { |
267 | { |
| 54 | int ix = floorf (x); float fx = x - ix; |
268 | vec2d I = floor (P); |
| 55 | int iy = floorf (y); float fy = y - iy; |
269 | vec2d F = P - I; |
| 56 | |
270 | |
| 57 | float v = 0; |
271 | value_t v = 0; |
|
|
272 | |
|
|
273 | seed *= 3039177861; |
|
|
274 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
|
|
275 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
|
|
276 | |
|
|
277 | uint8_t h2 = rvmap[2](seed); |
| 58 | |
278 | |
| 59 | for (int j = -1; j <= 2; ++j) |
279 | for (int j = -1; j <= 2; ++j) |
|
|
280 | { |
|
|
281 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
|
|
282 | |
| 60 | for (int i = -1; i <= 2; ++i) |
283 | for (int i = -1; i <= 2; ++i) |
| 61 | { |
|
|
| 62 | float Ax = fx - i; |
|
|
| 63 | float Ay = fy - j; |
|
|
| 64 | |
|
|
| 65 | float d = Ax * Ax + Ay * Ay; |
|
|
| 66 | |
|
|
| 67 | if (d < 4) |
|
|
| 68 | { |
284 | { |
| 69 | float t1 = 1 - d / 4; |
|
|
| 70 | float t2 = t1 * t1; |
|
|
| 71 | float t4 = t2 * t2; |
|
|
| 72 | |
|
|
| 73 | float p = (4 * t1 - 3) * t4; |
|
|
| 74 | |
|
|
| 75 | int h = rvmap[0](ix + i) ^ rvmap[1](iy + j); |
|
|
| 76 | float G0 = rvec[h & 0xff][0]; |
|
|
| 77 | float G1 = rvec[h & 0xff][1]; |
|
|
| 78 | //vec2d G = rvec[h & 0xff]; |
|
|
| 79 | |
|
|
| 80 | v += (Ax * G0 + Ay * G1) * p; |
|
|
| 81 | } |
|
|
| 82 | } |
|
|
| 83 | |
|
|
| 84 | return clamp (v * 2, -.9999999f, .9999999f); |
|
|
| 85 | } |
|
|
| 86 | |
|
|
| 87 | #if 0||ABSTRACTION_PENALTY_IS_GONE |
|
|
| 88 | float |
|
|
| 89 | noise2d::noise (float x, float y) |
|
|
| 90 | { |
|
|
| 91 | vec2d X = vec2d (x, y); |
|
|
| 92 | gen_vec<2,int> I = floor (X); |
|
|
| 93 | vec2d F = X - I; |
|
|
| 94 | |
|
|
| 95 | float v = 0; |
|
|
| 96 | |
|
|
| 97 | for (int j = -1; j <= 2; ++j) |
|
|
| 98 | for (int i = -1; i <= 2; ++i) |
|
|
| 99 | { |
|
|
| 100 | vec2d A = F - vec2d (i, j); |
285 | vec2d A = F - vec2d (i, j); |
| 101 | |
286 | value_t d = dot (A, A); |
| 102 | float d = A * A; |
|
|
| 103 | |
|
|
| 104 | if (d < 4) |
|
|
| 105 | { |
|
|
| 106 | int h = rvmap [0](I[0] + i) ^ rvmap [1](I[1] + j); |
|
|
| 107 | float *G = rvec [h & 0xff]; |
|
|
| 108 | |
|
|
| 109 | float t1 = 1 - d / 4; |
|
|
| 110 | float t2 = t1 * t1; |
|
|
| 111 | float t4 = t2 * t2; |
|
|
| 112 | |
|
|
| 113 | float p = (4 * t1 - 3) * t4; |
|
|
| 114 | v += A * vec2d (G[0], G[1]) * p; |
|
|
| 115 | } |
|
|
| 116 | } |
|
|
| 117 | |
287 | |
| 118 | return clamp (v * 2, -.9999999f, .9999999f); |
|
|
| 119 | } |
|
|
| 120 | #endif |
|
|
| 121 | |
|
|
| 122 | ///////////////////////////////////////////////////////////////////////////// |
|
|
| 123 | |
|
|
| 124 | noise3d::noise3d (uint32_t seed) |
|
|
| 125 | { |
|
|
| 126 | seedable_rand_gen rng (seed); |
|
|
| 127 | |
|
|
| 128 | for (int i = 0; i < 256; ++i) |
|
|
| 129 | { |
|
|
| 130 | for (int j = 0; j < 3; ++j) |
|
|
| 131 | rvec [i][j] = rng () - 0.5f; |
|
|
| 132 | |
|
|
| 133 | // normalise |
|
|
| 134 | float mag = 1.f / sqrtf (rvec [i][0] * rvec [i][0] |
|
|
| 135 | + rvec [i][1] * rvec [i][1] |
|
|
| 136 | + rvec [i][2] * rvec [i][2]); |
|
|
| 137 | |
|
|
| 138 | rvec [i][0] *= mag; |
|
|
| 139 | rvec [i][1] *= mag; |
|
|
| 140 | rvec [i][2] *= mag; |
|
|
| 141 | } |
|
|
| 142 | |
|
|
| 143 | rvmap [0].seed (rng); |
|
|
| 144 | rvmap [1].seed (rng); |
|
|
| 145 | rvmap [2].seed (rng); |
|
|
| 146 | } |
|
|
| 147 | |
|
|
| 148 | float |
|
|
| 149 | noise3d::noise (float x, float y, float z) |
|
|
| 150 | { |
|
|
| 151 | int ix = floorf (x); float fx = x - ix; |
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| 152 | int iy = floorf (y); float fy = y - iy; |
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| 153 | int iz = floorf (z); float fz = z - iz; |
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| 154 | |
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| 155 | float v = 0; |
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| 156 | |
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| 157 | for (int j = -1; j <= 2; ++j) |
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| 158 | for (int i = -1; i <= 2; ++i) |
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| 159 | for (int k = -1; k <= 2; ++k) |
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| 160 | { |
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| 161 | float Ax = fx - i; |
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| 162 | float Ay = fy - j; |
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| 163 | float Az = fz - k; |
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| 164 | |
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| 165 | float d = Ax * Ax + Ay * Ay + Az * Az; |
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| 166 | |
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| 167 | if (d < 4) |
288 | if (d < 4) |
| 168 | { |
289 | { |
| 169 | int h = rvmap [0](ix + i) ^ rvmap [1](iy + j) ^ rvmap [2](iz + k); |
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| 170 | float *G = rvec [h & 0xff]; |
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| 171 | |
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| 172 | float t1 = 1 - d / 4; |
290 | value_t t1 = 1 - d / 4; |
| 173 | float t2 = t1 * t1; |
291 | value_t t2 = t1 * t1; |
| 174 | float t4 = t2 * t2; |
292 | value_t t4 = t2 * t2; |
| 175 | |
293 | |
| 176 | // (4t⁵ - 3t⁴) |
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| 177 | float p = (4 * t1 - 3) * t4; |
294 | value_t p = (4 * t1 - 3) * t4; |
| 178 | v += (Ax * G[0] + Ay * G[1] + Az * G[2]) * p; |
295 | |
|
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296 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
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297 | vec2d G = charges2[h & 0xff]; |
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298 | |
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299 | v += dot (A, G) * p; |
| 179 | } |
300 | } |
| 180 | } |
301 | } |
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302 | } |
| 181 | |
303 | |
| 182 | return clamp (v * 2, -.9999999f, .9999999f); |
304 | return v; |
| 183 | } |
305 | } |
| 184 | |
306 | |
| 185 | float |
307 | ///////////////////////////////////////////////////////////////////////////// |
| 186 | noise3d::noise (float x, float y, float z, float nx, float ny, float nz) |
|
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| 187 | { |
|
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| 188 | int ix = floorf (x); float fx = x - ix; |
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| 189 | int iy = floorf (y); float fy = y - iy; |
|
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| 190 | int iz = floorf (z); float fz = z - iz; |
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| 191 | |
308 | |
| 192 | float v = 0; |
309 | template<> |
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310 | vec3d::T_numtype |
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311 | noise_gen_base<vec3d>::operator() (vec3d P, uint32_t seed) |
|
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312 | { |
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313 | vec3d I = floor (P); |
|
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314 | vec3d F = P - I; |
| 193 | |
315 | |
| 194 | for (int j = -1; j <= 2; ++j) |
316 | seed *= 3039177861; |
| 195 | for (int i = -1; i <= 2; ++i) |
317 | uint8_t i2 = uint8_t (I[2]) + (seed >> 24); |
|
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318 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
|
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319 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
|
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320 | |
|
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321 | uint8_t h3 = rvmap[3](seed); |
|
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322 | |
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323 | value_t v = 0; |
|
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324 | |
| 196 | for (int k = -1; k <= 2; ++k) |
325 | for (int k = -1; k <= 2; ++k) |
|
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326 | { |
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327 | uint8_t h2 = rvmap[2](i2 + k) ^ h3; |
|
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328 | |
|
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329 | for (int j = -1; j <= 2; ++j) |
| 197 | { |
330 | { |
| 198 | float Dx = fx - i; |
331 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
| 199 | float Dy = fy - j; |
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| 200 | float Dz = fz - k; |
|
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| 201 | |
332 | |
| 202 | float e = Dx * nx + Dy * ny + Dz * nz; |
333 | for (int i = -1; i <= 2; ++i) |
| 203 | |
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| 204 | float o = 1 - abs (e); |
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| 205 | |
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| 206 | if (o > 0) |
|
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| 207 | { |
334 | { |
| 208 | float Ax = Dx - e * nx; |
335 | vec3d A = F - vec3d (i, j, k); |
| 209 | float Ay = Dy - e * ny; |
336 | value_t d = dot (A, A); |
| 210 | float Az = Dz - e * nz; |
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| 211 | |
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| 212 | float d = Ax * Ax + Ay * Ay + Az * Az; |
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| 213 | |
337 | |
| 214 | if (d < 4) |
338 | if (d < 4) |
| 215 | { |
339 | { |
| 216 | int h = rvmap [0](ix + i) ^ rvmap [1](iy + j) ^ rvmap [2](iz + k); |
|
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| 217 | float *G = rvec [h & 0xff]; |
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| 218 | |
|
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| 219 | float t1 = 1 - d / 4; |
340 | value_t t1 = 1 - d / 4; |
| 220 | float t2 = t1 * t1; |
341 | value_t t2 = t1 * t1; |
| 221 | float t4 = t2 * t2; |
342 | value_t t4 = t2 * t2; |
| 222 | |
343 | |
| 223 | float o2 = o * o; |
|
|
| 224 | |
|
|
| 225 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
344 | // (4t⁵ - 3t⁴) |
| 226 | float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
345 | value_t p = (4 * t1 - 3) * t4; |
| 227 | v += (Ax * G[0] + Ay * G[1] + Az * G[2]) * p; |
346 | |
|
|
347 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
|
|
348 | const value_t *G = charges3[h & 0xff]; |
|
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349 | |
|
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350 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
| 228 | } |
351 | } |
| 229 | } |
352 | } |
| 230 | } |
353 | } |
| 231 | |
|
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| 232 | return clamp (v * 2, -.9999999f, .9999999f); |
|
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| 233 | } |
|
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| 234 | |
|
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| 235 | frac_gen::frac_gen (float hurst_expo, float lacunarity) |
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| 236 | : h (hurst_expo), lac (lacunarity), noise2d (0) |
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| 237 | { |
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| 238 | float exsum = 0; |
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| 239 | |
|
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| 240 | for (int i = 0; i < MAX_OCTAVES; ++i) |
|
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| 241 | { |
354 | } |
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355 | |
|
|
356 | return v * 2; |
|
|
357 | } |
|
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358 | |
|
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359 | vec3d::T_numtype |
|
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360 | noise_gen<vec3d>::operator() (vec3d P, vec3d N, uint32_t seed) |
|
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361 | { |
|
|
362 | vec3d I = floor (P); |
|
|
363 | vec3d F = P - I; |
|
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364 | |
|
|
365 | seed *= 3039177861; |
|
|
366 | uint8_t i2 = uint8_t (I[2]) + (seed >> 24); |
|
|
367 | uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
|
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368 | uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
|
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369 | |
|
|
370 | uint8_t h3 = rvmap[3](seed); |
|
|
371 | |
|
|
372 | value_t v = 0; |
|
|
373 | |
|
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374 | for (int k = -1; k <= 2; ++k) |
|
|
375 | { |
|
|
376 | uint8_t h2 = rvmap[2](i2 + k) ^ h3; |
|
|
377 | |
|
|
378 | for (int j = -1; j <= 2; ++j) |
|
|
379 | { |
|
|
380 | uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
|
|
381 | |
|
|
382 | for (int i = -1; i <= 2; ++i) |
|
|
383 | { |
|
|
384 | vec3d D = F - vec3d (i, j, k); |
|
|
385 | value_t e = dot (D, N); |
|
|
386 | value_t o = 1 - abs (e); |
|
|
387 | |
|
|
388 | if (o > 0) |
|
|
389 | { |
|
|
390 | vec3d A = D - e * N; |
|
|
391 | value_t d = dot (A, A); |
|
|
392 | |
|
|
393 | if (d < 4) |
|
|
394 | { |
|
|
395 | value_t t1 = 1 - d / 4; |
|
|
396 | value_t t2 = t1 * t1; |
|
|
397 | value_t t4 = t2 * t2; |
|
|
398 | |
|
|
399 | value_t o2 = o * o; |
|
|
400 | |
|
|
401 | // (4t⁵ - 3t⁴) * (3o³ - 2o²) |
|
|
402 | // alternative? ((o * 6 - 15) * o + 10) * o³ |
|
|
403 | value_t p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
|
|
404 | |
|
|
405 | uint8_t h = rvmap[0](i0 + i) ^ h1; |
|
|
406 | const value_t *G = charges3[h & 0xff]; |
|
|
407 | |
|
|
408 | v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
|
|
409 | } |
|
|
410 | } |
|
|
411 | } |
|
|
412 | } |
|
|
413 | } |
|
|
414 | |
|
|
415 | return v; |
|
|
416 | } |
|
|
417 | |
|
|
418 | template class noise_gen<vec2d>; |
|
|
419 | template class noise_gen<vec3d>; |
|
|
420 | |
|
|
421 | ///////////////////////////////////////////////////////////////////////////// |
|
|
422 | |
|
|
423 | template<class vec_t> |
|
|
424 | frac_gen<vec_t>::frac_gen (int octaves, value_t lacunarity, value_t hurst_expo, seed_t seed) |
|
|
425 | : octaves (octaves), lac (lacunarity), h (hurst_expo) |
|
|
426 | { |
|
|
427 | this->seed (seed); |
|
|
428 | |
|
|
429 | value_t exsum = 0; |
|
|
430 | value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
|
|
431 | |
|
|
432 | for (int i = 0; i < octaves; ++i) |
|
|
433 | { |
| 242 | ex [i] = powf (lac, -h * i); |
434 | ex [i] = pow (lac, -h * i); |
| 243 | exsum += ex [i]; |
435 | exsum += ex [i]; |
| 244 | fbm_mul [i] = 0.5f / (exsum * 0.75f); // .75f is a heuristic |
436 | fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
| 245 | rot [i].set (0.4488f * i); |
437 | rot [i].set (phi * i + 1); |
| 246 | } |
438 | } |
| 247 | } |
439 | } |
| 248 | |
440 | |
| 249 | float |
441 | template<class vec_t> |
| 250 | frac_gen::fBm (float x, float y, int octaves) |
442 | typename frac_gen<vec_t>::value_t |
|
|
443 | frac_gen<vec_t>::fBm (vec_t P) |
| 251 | { |
444 | { |
| 252 | float v = 0.f; |
445 | value_t v = 0; |
| 253 | |
446 | |
| 254 | for (int i = 0; i < octaves; ++i) |
447 | for (int i = 0; i < octaves; ++i) |
| 255 | { |
448 | { |
| 256 | rot [i](x, y); |
449 | rot [i](P); |
| 257 | |
|
|
| 258 | v += noise (x + i, y) * ex [i]; |
450 | v += noise (P, i) * ex [i]; |
| 259 | |
|
|
| 260 | x *= lac; |
451 | P *= lac; |
| 261 | y *= lac; |
|
|
| 262 | } |
452 | } |
| 263 | |
453 | |
| 264 | return clamp (v * fbm_mul [octaves - 1] + 0.5f, 0.f, .9999999f); |
454 | return v * fbm_mul [octaves - 1]; |
| 265 | } |
455 | } |
| 266 | |
456 | |
| 267 | float |
457 | template<class vec_t> |
| 268 | frac_gen::turbulence (float x, float y, int octaves) |
458 | typename frac_gen<vec_t>::value_t |
|
|
459 | frac_gen<vec_t>::turbulence (vec_t P) |
| 269 | { |
460 | { |
| 270 | float v = 0.f; |
461 | value_t v = 0; |
| 271 | |
462 | |
| 272 | for (int i = 0; i < octaves; ++i) |
463 | for (int i = 0; i < octaves; ++i) |
| 273 | { |
464 | { |
| 274 | rot [i](x, y); |
465 | rot [i](P); |
| 275 | |
|
|
| 276 | v += fabsf (noise (x + i, y)) * ex [i]; |
466 | v += abs (noise (P, i)) * ex [i]; |
| 277 | |
|
|
| 278 | x *= lac; |
467 | P *= lac; |
| 279 | y *= lac; |
|
|
| 280 | } |
468 | } |
| 281 | |
469 | |
| 282 | return clamp (v * fbm_mul [octaves - 1] * 2.f, 0.f, .9999999f); |
470 | return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
| 283 | } |
471 | } |
| 284 | |
472 | |
| 285 | float |
473 | template<class vec_t> |
| 286 | frac_gen::multifractal (float x, float y, int octaves, float offset) |
474 | typename frac_gen<vec_t>::value_t |
|
|
475 | frac_gen<vec_t>::multifractal (vec_t P, value_t offset) |
| 287 | { |
476 | { |
| 288 | float v = 1.f; |
477 | value_t v = 1; |
| 289 | |
478 | |
| 290 | for (int i = 0; i < octaves; ++i) |
479 | for (int i = 0; i < octaves; ++i) |
| 291 | { |
480 | { |
| 292 | rot [i](x, y); |
481 | rot [i](P); |
| 293 | |
|
|
| 294 | v *= noise (x, y) * ex [i] + offset; |
482 | v *= noise (P) * ex [i] + offset; |
| 295 | |
|
|
| 296 | x *= lac; |
483 | P *= lac; |
| 297 | y *= lac; |
|
|
| 298 | } |
484 | } |
| 299 | |
485 | |
| 300 | return clamp (v * 0.5f, 0.f, .9999999f); |
486 | return v * value_t (0.5); |
| 301 | } |
487 | } |
| 302 | |
488 | |
| 303 | float |
489 | template<class vec_t> |
| 304 | frac_gen::heterofractal (float x, float y, int octaves, float offset) |
490 | typename frac_gen<vec_t>::value_t |
|
|
491 | frac_gen<vec_t>::heterofractal (vec_t P, value_t offset) |
| 305 | { |
492 | { |
| 306 | float v = noise (x, y) + offset; |
493 | value_t v = noise (P) + offset; |
| 307 | int i; |
|
|
| 308 | |
494 | |
| 309 | for (i = 1; i < octaves; ++i) |
495 | for (int i = 1; i < octaves; ++i) |
| 310 | { |
496 | { |
| 311 | rot [i](x, y); |
497 | rot [i](P); |
| 312 | |
|
|
| 313 | x *= lac; |
498 | P *= lac; |
| 314 | y *= lac; |
|
|
| 315 | |
|
|
| 316 | v += v * (noise (x, y) * ex [i] + offset); |
499 | v += v * (noise (P) * ex [i] + offset); |
| 317 | } |
500 | } |
| 318 | |
501 | |
| 319 | return v / powf (2., octaves); |
502 | return v / (1 << octaves); |
| 320 | } |
503 | } |
| 321 | |
504 | |
| 322 | float |
505 | template<class vec_t> |
| 323 | frac_gen::hybridfractal (float x, float y, int octaves, float offset, float gain) |
506 | typename frac_gen<vec_t>::value_t |
|
|
507 | frac_gen<vec_t>::hybridfractal (vec_t P, value_t offset, value_t gain) |
| 324 | { |
508 | { |
| 325 | float v = (noise (x, y) + offset) * ex [0]; |
509 | value_t v = (noise (P) + offset) * ex [0]; |
| 326 | float weight = v; |
510 | value_t weight = v; |
| 327 | int i; |
|
|
| 328 | |
511 | |
| 329 | for (i = 1; i < octaves; ++i) |
512 | for (int i = 1; i < octaves; ++i) |
| 330 | { |
513 | { |
| 331 | rot [i](x, y); |
514 | rot [i](P); |
| 332 | |
|
|
| 333 | x *= lac; |
515 | P *= lac; |
| 334 | y *= lac; |
|
|
| 335 | |
516 | |
| 336 | min_it (weight, 1.f); |
517 | min_it (weight, 1); |
| 337 | |
518 | |
| 338 | float sig = (noise (x, y) + offset) * ex [i]; |
519 | value_t sig = (noise (P) + offset) * ex [i]; |
| 339 | v += weight * sig; |
520 | v += weight * sig; |
| 340 | weight *= gain * sig; |
521 | weight *= gain * sig; |
| 341 | } |
522 | } |
| 342 | |
523 | |
| 343 | return clamp (v * 0.5f + 0.5f, 0.f, .9999999f); |
524 | return v * value_t (0.5) + value_t (0.5); |
| 344 | } |
525 | } |
| 345 | |
526 | |
| 346 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
527 | template<class vec_t> |
| 347 | float |
528 | typename frac_gen<vec_t>::value_t |
| 348 | frac_gen::terrain (float x, float y, int octaves) |
529 | frac_gen<vec_t>::ridgedmultifractal (vec_t P, value_t offset, value_t gain) |
| 349 | { |
530 | { |
| 350 | float v = 0.f; |
|
|
| 351 | |
|
|
| 352 | for (int i = 0; i < octaves; ++i) |
|
|
| 353 | { |
|
|
| 354 | rot[i] (x, y); |
|
|
| 355 | |
|
|
| 356 | v += noise (x + i, y) * ex [i]; |
|
|
| 357 | |
|
|
| 358 | x *= lac; |
|
|
| 359 | y *= lac; |
|
|
| 360 | } |
|
|
| 361 | |
|
|
| 362 | v *= fbm_mul [octaves - 1]; |
|
|
| 363 | |
|
|
| 364 | return v <= 0.f ? - powf (-v, 0.7f) : powf (v, 1. + noise (x, y) * v); |
|
|
| 365 | } |
|
|
| 366 | |
|
|
| 367 | float |
|
|
| 368 | frac_gen::terrain2 (float x, float y, int octaves) |
|
|
| 369 | { |
|
|
| 370 | float a = fBm (x, y, octaves); |
|
|
| 371 | float b = ridgedmultifractal (x, y, octaves, 1, 8); |
|
|
| 372 | float fade = fBm (x + 10.3, y + 10.3, octaves); |
|
|
| 373 | |
|
|
| 374 | const float width = 0.05f; |
|
|
| 375 | |
|
|
| 376 | if (fade > 0.5f + width) |
|
|
| 377 | return a; |
|
|
| 378 | else if (fade < 0.5f - width) |
|
|
| 379 | return b; |
|
|
| 380 | |
|
|
| 381 | fade = (fade - 0.5f + width) / (width * 2); |
|
|
| 382 | |
|
|
| 383 | // sigmoidal curve |
|
|
| 384 | fade = fade * fade * 2 * (1.5f - fade); |
|
|
| 385 | |
|
|
| 386 | return a * fade + b * (1 - fade); |
|
|
| 387 | } |
|
|
| 388 | |
|
|
| 389 | float |
|
|
| 390 | frac_gen::ridgedmultifractal (float x, float y, int octaves, float offset, float gain) |
|
|
| 391 | { |
|
|
| 392 | float sig = offset - fabsf (noise (x, y)); |
531 | value_t sig = offset - abs (noise (P)); |
| 393 | sig *= sig; |
532 | sig *= sig; |
| 394 | float v = sig; |
533 | value_t v = sig; |
| 395 | |
534 | |
| 396 | for (int i = 1; i < octaves; ++i) |
535 | for (int i = 1; i < octaves; ++i) |
| 397 | { |
536 | { |
| 398 | rot [i](x, y); |
537 | rot [i](P); |
| 399 | |
|
|
| 400 | x *= lac; |
538 | P *= lac; |
| 401 | y *= lac; |
|
|
| 402 | |
539 | |
|
|
540 | // weight higher octaves by previous signal |
| 403 | float w = clamp (sig * gain, 0.f, 1.f); |
541 | value_t w = clamp (sig * gain, 0, 1); |
| 404 | |
542 | |
| 405 | sig = offset - fabsf (noise (x, y)); |
543 | sig = offset - abs (noise (P)); |
| 406 | sig *= sig; |
544 | sig *= sig; |
| 407 | sig *= w; |
545 | sig *= w; |
| 408 | |
546 | |
| 409 | v += sig * ex [i]; |
547 | v += sig * ex [i]; |
| 410 | } |
548 | } |
| 411 | |
549 | |
| 412 | return clamp (v * 0.25f, 0.f, .9999999f); |
550 | return v * value_t (0.25); |
| 413 | } |
551 | } |
| 414 | |
552 | |
| 415 | #if 1 |
553 | template<class vec_t> |
| 416 | void hack() |
554 | typename frac_gen<vec_t>::value_t |
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555 | frac_gen<vec_t>::billowfractal (vec_t P, value_t offset, value_t gain) |
| 417 | { |
556 | { |
| 418 | frac_gen gen (0.5, 2); |
557 | value_t v = 0; |
| 419 | noise3d n(0); |
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| 420 | |
558 | |
| 421 | #if 1 |
559 | offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
| 422 | int N = 1024; |
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| 423 | |
560 | |
| 424 | printf ("P5 %d %d 255\n", N, N); |
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| 425 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
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| 426 | for (int y = 0; y < N; ++y) |
561 | for (int i = 0; i < octaves; ++i) |
| 427 | { |
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| 428 | if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
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| 429 | for (int x = 0; x < N; ++x) |
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| 430 | { |
562 | { |
| 431 | putc (127 * gen.noise (x * 0.04, y * 0.04) + 128, stdout); |
563 | rot [i](P); |
| 432 | //putc (256 * gen.terrain2 (x * 0.004, y * 0.004, 8), stdout); |
564 | v += (abs (noise (P, i)) * gain - offset) * ex [i]; |
| 433 | //putc (256 * gen.fBm (x * 0.01, y * 0.01, 7), stdout); |
565 | P *= lac; |
| 434 | //putc (256 * gen.turbulence (x * 0.004 - 1, y * 0.004 - 1, 8), stdout); |
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| 435 | //putc (256 * gen.heterofractal (x * 0.008, y * 0.008, 8, -1.1, 2.0), stdout); |
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| 436 | //putc (256 * gen.ridgedmultifractal (x * 0.001, y * 0.001, 32, 1.001, 32), stdout); |
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| 437 | } |
566 | } |
| 438 | } |
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| 439 | #else |
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| 440 | int N = 128; |
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| 441 | |
567 | |
| 442 | //printf ("P6 %d %d 255\n", N, N); |
568 | return v; |
| 443 | // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
569 | } |
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570 | |
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571 | // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
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572 | template<class vec_t> |
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573 | typename frac_gen<vec_t>::value_t |
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574 | frac_gen<vec_t>::terrain (vec_t P) |
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575 | { |
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576 | value_t v = 0; |
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577 | |
| 444 | for (int z = 0; z < N; ++z) |
578 | for (int i = 0; i < octaves; ++i) |
| 445 | { |
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| 446 | if (!(z&4))fprintf (stderr, "z %d\n", z);//D |
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| 447 | for (int y = 0; y < N; ++y) |
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| 448 | for (int x = 0; x < N; ++x) |
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| 449 | { |
579 | { |
| 450 | float v = n.noise (x * 0.06 + 0.2, y * 0.06 + 0.2, z * 0.06 + 0.2) * 0.5 + 0.5; |
580 | rot [i](P); |
| 451 | |
581 | v += noise (P) * ex [i]; |
| 452 | if (z < 64) |
582 | P *= lac; |
| 453 | v = v * (z * z) / (64 * 64); |
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| 454 | |
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| 455 | if (v <= 0.1) |
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| 456 | continue; |
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| 457 | |
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| 458 | float r[4]; |
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| 459 | int i[4]; |
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| 460 | |
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| 461 | r[0] = x; |
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| 462 | r[1] = y; |
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| 463 | r[2] = z; |
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| 464 | r[3] = v; |
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| 465 | |
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| 466 | memcpy (i, r, 16); |
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| 467 | |
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| 468 | i[0] = htonl (i[0]); |
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| 469 | i[1] = htonl (i[1]); |
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| 470 | i[2] = htonl (i[2]); |
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| 471 | i[3] = htonl (i[3]); |
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| 472 | |
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| 473 | fwrite (i, 4*4, 1, stdout); |
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| 474 | } |
583 | } |
| 475 | } |
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| 476 | #endif |
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| 477 | |
584 | |
| 478 | exit (0); |
585 | v *= fbm_mul [octaves - 1]; |
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586 | |
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587 | return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
| 479 | } |
588 | } |
| 480 | #endif |
589 | |
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590 | template<class vec_t> |
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591 | typename frac_gen<vec_t>::value_t |
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592 | frac_gen<vec_t>::terrain2 (vec_t P) |
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593 | { |
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594 | value_t a = fBm (P); |
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595 | value_t b = ridgedmultifractal (P, 1, 8); |
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596 | value_t fade = fBm (P + vec_t(10.3)); |
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597 | |
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598 | const value_t width = 0.05; |
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599 | |
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600 | if (fade > 0.5 + width) |
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601 | return a; |
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602 | else if (fade < 0.5 - width) |
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603 | return b; |
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604 | |
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605 | fade = (fade - 0.5 + width) / (width * 2); |
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606 | |
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607 | // sigmoidal curve |
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608 | fade = fade * fade * 2 * (1.5 - fade); |
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609 | |
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610 | return a * fade + b * (1 - fade); |
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611 | } |
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612 | |
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613 | template class frac_gen<vec2d>; |
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614 | template class frac_gen<vec3d>; |
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615 | |
