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1.1 |
/* |
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* This file is part of Deliantra, the Roguelike Realtime MMORPG. |
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1.20 |
* |
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* Copyright (©) 2017,2018 Marc Alexander Lehmann / the Deliantra team |
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* Copyright (©) 2010,2011,2012,2013,2014,2015,2016 Marc Alexander Lehmann / Robin Redeker / the Deliantra team |
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1.20 |
* |
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* Deliantra is free software: you can redistribute it and/or modify it under |
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* the terms of the Affero GNU General Public License as published by the |
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* Free Software Foundation, either version 3 of the License, or (at your |
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* option) any later version. |
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1.20 |
* |
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1.1 |
* This program is distributed in the hope that it will be useful, |
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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* GNU General Public License for more details. |
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1.20 |
* |
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1.1 |
* You should have received a copy of the Affero GNU General Public License |
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* and the GNU General Public License along with this program. If not, see |
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* <http://www.gnu.org/licenses/>. |
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1.20 |
* |
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1.1 |
* The authors can be reached via e-mail to <support@deliantra.net> |
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*/ |
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#include "noise.h" |
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1.2 |
///////////////////////////////////////////////////////////////////////////// |
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1.8 |
// perl -e 'for(0..255) { $p = (atan2 1,0) / 64 * $_; printf " %10g, %10g,\n", sin $p, cos $p }' | sort -R |
29 |
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static const float charges2[256][2] = { |
30 |
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-.975702, -.219101, .893224, .449611, .870087, -.492898, .595699, -.803208, |
31 |
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.14673, .989177, .995185, .0980171, .91421, -.405241, -.514103, .857729, |
32 |
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-.985278, -.170962, -.689541, -.724247, -.427555, .903989, .83147, -.55557, |
33 |
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.999699, -.0245412, .634393, .77301, -.514103, -.857729, -.0735646, -.99729, |
34 |
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.514103, -.857729, -.595699, -.803208, -.290285, .95694, .595699, .803208, |
35 |
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.266713, .963776, -.33689, .941544, .492898, -.870087, -.471397, -.881921, |
36 |
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-.99729, -.0735646, .615232, -.788346, -.91421, -.405241, -.575808, .817585, |
37 |
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.0980171, .995185, -.980785, .19509, -.122411, -.99248, .0735646, .99729, |
38 |
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-.634393, .77301, -.91421, .405241, .99248, .122411, .903989, -.427555, |
39 |
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-.24298, .970031, -.857729, .514103, -.359895, .932993, .382683, .92388, |
40 |
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.740951, -.671559, -.893224, .449611, -.95694, -.290285, -.975702, .219101, |
41 |
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-.970031, .24298, .999699, .0245412, -.405241, .91421, .985278, .170962, |
42 |
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.382683, -.92388, .95694, -.290285, .707107, -.707107, -.817585, -.575808, |
43 |
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-.989177, .14673, -.19509, -.980785, -.359895, -.932993, .313682, .949528, |
44 |
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-.0980171, .995185, 1, 6.12323e-17, .963776, -.266713, .998795, -.0490677, |
45 |
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-.998795, -.0490677, -.970031, -.24298, -.55557, .83147, -.14673, .989177, |
46 |
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-.83147, -.55557, -.995185, -.0980171, .870087, .492898, .941544, -.33689, |
47 |
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.575808, -.817585, .33689, .941544, .19509, -.980785, 0, 1, |
48 |
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.219101, -.975702, -.83147, .55557, .757209, -.653173, -.95694, .290285, |
49 |
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-.266713, .963776, -.0490677, .998795, .405241, .91421, -.405241, -.91421, |
50 |
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-.689541, .724247, -.534998, -.844854, -.99248, -.122411, .724247, .689541, |
51 |
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.492898, .870087, .817585, -.575808, .740951, .671559, -.33689, -.941544, |
52 |
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.95694, .290285, .77301, -.634393, .0245412, -.999699, -.77301, -.634393, |
53 |
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-.382683, .92388, -.24298, -.970031, -.893224, -.449611, .449611, .893224, |
54 |
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.975702, -.219101, -.382683, -.92388, .844854, .534998, -.803208, -.595699, |
55 |
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.941544, .33689, .963776, .266713, .932993, .359895, -.0735646, .99729, |
56 |
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.634393, -.77301, .405241, -.91421, .33689, -.941544, .99729, .0735646, |
57 |
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1.22465e-16, -1, -.941544, -.33689, .0490677, -.998795, -.313682, .949528, |
58 |
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.92388, .382683, -.999699, .0245412, .0245412, .999699, .653173, .757209, |
59 |
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-.803208, .595699, .980785, -.19509, .817585, .575808, .975702, .219101, |
60 |
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-.615232, -.788346, .99248, -.122411, .998795, .0490677, -.707107, .707107, |
61 |
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.803208, -.595699, .671559, .740951, -.757209, -.653173, -.949528, .313682, |
62 |
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-.989177, -.14673, -.817585, .575808, -.14673, -.989177, -1, -1.83697e-16, |
63 |
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.290285, .95694, -.932993, -.359895, .24298, -.970031, .170962, .985278, |
64 |
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-.671559, -.740951, .427555, .903989, .427555, -.903989, -.941544, .33689, |
65 |
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-.492898, -.870087, -.266713, -.963776, .857729, -.514103, -.724247, .689541, |
66 |
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.724247, -.689541, -.653173, .757209, .689541, -.724247, .949528, -.313682, |
67 |
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-.19509, .980785, -.740951, .671559, -.999699, -.0245412, .689541, .724247, |
68 |
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.803208, .595699, -.170962, .985278, .0735646, -.99729, .970031, -.24298, |
69 |
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-.170962, -.985278, .471397, .881921, .91421, .405241, .893224, -.449611, |
70 |
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.0490677, .998795, -.615232, .788346, -.998795, .0490677, -.427555, -.903989, |
71 |
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-.0245412, .999699, -.534998, .844854, -.313682, -.949528, -.55557, -.83147, |
72 |
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-.903989, -.427555, -.724247, -.689541, -.740951, -.671559, .985278, -.170962, |
73 |
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-.857729, -.514103, -.99729, .0735646, .881921, -.471397, .534998, .844854, |
74 |
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.359895, -.932993, .77301, .634393, .99729, -.0735646, .290285, -.95694, |
75 |
|
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.575808, .817585, .757209, .653173, .903989, .427555, -.995185, .0980171, |
76 |
|
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-.903989, .427555, -.844854, .534998, -.707107, -.707107, -.92388, .382683, |
77 |
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-.653173, -.757209, -.881921, -.471397, -.219101, .975702, -.595699, .803208, |
78 |
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.0980171, -.995185, -.788346, .615232, -.0980171, -.995185, -.985278, .170962, |
79 |
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.122411, .99248, -.449611, -.893224, .170962, -.985278, .788346, .615232, |
80 |
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-.492898, .870087, .671559, -.740951, .449611, -.893224, -.757209, .653173, |
81 |
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.83147, .55557, -.290285, -.95694, -.932993, .359895, -.870087, -.492898, |
82 |
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.266713, -.963776, -.881921, .471397, -.77301, .634393, -.471397, .881921, |
83 |
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.844854, -.534998, .707107, .707107, .534998, -.844854, .514103, .857729, |
84 |
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.14673, -.989177, .980785, .19509, -.122411, .99248, -.449611, .893224, |
85 |
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.995185, -.0980171, -.634393, -.77301, .857729, .514103, .55557, .83147, |
86 |
|
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-.92388, -.382683, -.844854, -.534998, -.963776, .266713, .989177, -.14673, |
87 |
|
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.313682, -.949528, .359895, .932993, .24298, .970031, -.949528, -.313682, |
88 |
|
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.932993, -.359895, .55557, -.83147, .615232, .788346, -.788346, -.615232, |
89 |
|
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-.0245412, -.999699, -.219101, -.975702, .788346, -.615232, -.99248, .122411, |
90 |
|
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-.671559, .740951, -.870087, .492898, .970031, .24298, .881921, .471397, |
91 |
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.122411, -.99248, .471397, -.881921, .19509, .980785, -.963776, -.266713, |
92 |
|
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.92388, -.382683, .989177, .14673, -.575808, -.817585, .219101, .975702, |
93 |
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-.0490677, -.998795, -.980785, -.19509, .949528, .313682, .653173, -.757209, |
94 |
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}; |
95 |
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|
96 |
root |
1.4 |
// http://www-wales.ch.cam.ac.uk/~wales/CCD/Thomson/table.html, random permutation |
97 |
root |
1.6 |
// used as gradient vectors for noise3d |
98 |
root |
1.8 |
static const float charges3[256][3] = { |
99 |
root |
1.4 |
6.32096444e-01, -6.11406706e-01, 4.76062943e-01, 5.19172442e-01, 8.08229585e-01, -2.77893708e-01, |
100 |
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-8.81072422e-01, -4.68301230e-01, 6.63727731e-02, -1.92122323e-01, 9.81341519e-01, -7.60505942e-03, |
101 |
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-2.57478265e-01, 9.34157733e-01, -2.47091628e-01, 8.75501090e-01, -1.48087600e-01, -4.59965112e-01, |
102 |
|
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-6.44086082e-01, 3.21868600e-01, 6.93940720e-01, -4.42053435e-01, -1.94962529e-01, -8.75544615e-01, |
103 |
|
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-6.86776297e-01, 5.34610386e-01, -4.92473403e-01, -8.45541961e-01, -2.41708225e-01, 4.76062943e-01, |
104 |
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1.87301993e-01, 3.04913657e-01, 9.33780287e-01, -8.21274139e-01, 4.76841979e-01, -3.13257905e-01, |
105 |
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1.82393582e-01, 9.78673695e-01, -9.45006918e-02, -5.13996405e-01, 5.64894294e-01, -6.45524695e-01, |
106 |
|
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-2.85987088e-01, -5.27238900e-01, -8.00144067e-01, 3.72992508e-01, 8.73495087e-01, 3.12862464e-01, |
107 |
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3.07149790e-02, -1.36108589e-01, 9.90217674e-01, -9.42965190e-01, -1.13726556e-01, 3.12862464e-01, |
108 |
|
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-7.63495246e-01, -8.89713729e-02, -6.39655457e-01, -4.93181655e-01, 3.84537051e-01, -7.80322441e-01, |
109 |
|
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9.59053138e-01, -6.07981062e-03, -2.83160934e-01, 8.47504655e-02, 6.82510620e-01, -7.25945323e-01, |
110 |
|
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2.72233465e-01, 7.06503091e-01, 6.53255175e-01, -6.69781595e-01, 6.75521448e-01, -3.08323512e-01, |
111 |
|
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-9.83646297e-01, 1.64266522e-01, -7.38679386e-02, -1.33230986e-01, 4.14543427e-02, 9.90217674e-01, |
112 |
|
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-9.68112521e-01, -2.24691711e-01, 1.10778074e-01, 2.60286884e-01, 5.44444585e-01, -7.97390012e-01, |
113 |
|
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-9.59533574e-01, 4.55017306e-02, -2.77893708e-01, 6.34082129e-01, 7.69729420e-01, -7.38679387e-02, |
114 |
|
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8.71590956e-01, -4.57032412e-01, -1.77343115e-01, -5.65998169e-01, -6.84162385e-01, -4.59965112e-01, |
115 |
|
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1.31348131e-01, -9.34573215e-01, 3.30636620e-01, 9.37743461e-01, -2.44096148e-01, -2.47091628e-01, |
116 |
|
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-2.32019785e-03, -9.49665258e-01, -3.13257905e-01, 5.58257270e-01, -6.92564967e-01, -4.56839782e-01, |
117 |
|
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5.79609682e-01, 2.34839316e-01, -7.80322441e-01, 5.21842141e-02, 4.80310769e-01, -8.75544615e-01, |
118 |
|
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5.48696303e-01, -4.14651366e-01, -7.25945323e-01, -5.13713359e-02, -3.67059868e-01, 9.28777712e-01, |
119 |
|
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-8.31597157e-01, -5.26303703e-01, -1.77343115e-01, 7.60006362e-01, -6.75440951e-02, -6.46396260e-01, |
120 |
|
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-6.35840799e-01, -7.53287574e-01, 1.68119925e-01, 6.00789426e-01, 3.96860609e-01, 6.93940720e-01, |
121 |
|
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-3.99937982e-02, 9.83336115e-01, -1.77343115e-01, -4.74261299e-01, 8.33604286e-01, -2.83160934e-01, |
122 |
|
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8.74744319e-01, 8.54351386e-02, -4.76993934e-01, 2.64896284e-01, -6.69736874e-01, 6.93745254e-01, |
123 |
|
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-2.24976555e-01, -1.01696579e-01, -9.69042494e-01, 6.08580404e-01, -2.06649545e-01, 7.66110865e-01, |
124 |
|
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-2.32214607e-01, -7.27581091e-01, -6.45524695e-01, -1.14732673e-01, 7.81826288e-01, -6.12849141e-01, |
125 |
|
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-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 |
|
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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 |
root |
1.6 |
///////////////////////////////////////////////////////////////////////////// |
230 |
|
|
|
231 |
|
|
template<int N, typename T> |
232 |
|
|
void |
233 |
root |
1.12 |
permutation<N,T>::seed (seedable_rand_gen &rng) |
234 |
root |
1.6 |
{ |
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 |
root |
1.12 |
template<class vec_t> |
248 |
|
|
void |
249 |
|
|
noise_gen_base<vec_t>::seed (seedable_rand_gen &rng) |
250 |
|
|
{ |
251 |
root |
1.24 |
for (int i = 0; i < ecb_array_length (rvmap); ++i) |
252 |
root |
1.12 |
rvmap[i].seed (rng); |
253 |
|
|
} |
254 |
|
|
|
255 |
|
|
template<class vec_t> |
256 |
|
|
void |
257 |
|
|
noise_gen_base<vec_t>::seed (seed_t seed) |
258 |
root |
1.1 |
{ |
259 |
|
|
seedable_rand_gen rng (seed); |
260 |
|
|
|
261 |
root |
1.12 |
this->seed (rng); |
262 |
root |
1.1 |
} |
263 |
|
|
|
264 |
root |
1.12 |
template<> |
265 |
root |
1.4 |
vec2d::T_numtype |
266 |
root |
1.13 |
noise_gen_base<vec2d>::operator() (vec2d P, uint32_t seed) |
267 |
root |
1.1 |
{ |
268 |
root |
1.4 |
vec2d I = floor (P); |
269 |
|
|
vec2d F = P - I; |
270 |
root |
1.1 |
|
271 |
root |
1.13 |
value_t v = 0; |
272 |
|
|
|
273 |
root |
1.14 |
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); |
278 |
root |
1.1 |
|
279 |
|
|
for (int j = -1; j <= 2; ++j) |
280 |
root |
1.13 |
{ |
281 |
root |
1.14 |
uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
282 |
root |
1.1 |
|
283 |
root |
1.13 |
for (int i = -1; i <= 2; ++i) |
284 |
|
|
{ |
285 |
|
|
vec2d A = F - vec2d (i, j); |
286 |
|
|
value_t d = dot (A, A); |
287 |
|
|
|
288 |
|
|
if (d < 4) |
289 |
|
|
{ |
290 |
|
|
value_t t1 = 1 - d / 4; |
291 |
|
|
value_t t2 = t1 * t1; |
292 |
|
|
value_t t4 = t2 * t2; |
293 |
|
|
|
294 |
|
|
value_t p = (4 * t1 - 3) * t4; |
295 |
|
|
|
296 |
|
|
uint8_t h = rvmap[0](i0 + i) ^ h1; |
297 |
|
|
vec2d G = charges2[h & 0xff]; |
298 |
|
|
|
299 |
|
|
v += dot (A, G) * p; |
300 |
|
|
} |
301 |
|
|
} |
302 |
|
|
} |
303 |
root |
1.4 |
|
304 |
root |
1.12 |
return v; |
305 |
root |
1.22 |
} |
306 |
root |
1.2 |
|
307 |
|
|
///////////////////////////////////////////////////////////////////////////// |
308 |
|
|
|
309 |
root |
1.12 |
template<> |
310 |
root |
1.4 |
vec3d::T_numtype |
311 |
root |
1.13 |
noise_gen_base<vec3d>::operator() (vec3d P, uint32_t seed) |
312 |
root |
1.2 |
{ |
313 |
root |
1.4 |
vec3d I = floor (P); |
314 |
|
|
vec3d F = P - I; |
315 |
root |
1.2 |
|
316 |
root |
1.14 |
seed *= 3039177861; |
317 |
|
|
uint8_t i2 = uint8_t (I[2]) + (seed >> 24); |
318 |
|
|
uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
319 |
|
|
uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
320 |
|
|
|
321 |
|
|
uint8_t h3 = rvmap[3](seed); |
322 |
root |
1.2 |
|
323 |
root |
1.13 |
value_t v = 0; |
324 |
|
|
|
325 |
|
|
for (int k = -1; k <= 2; ++k) |
326 |
|
|
{ |
327 |
root |
1.14 |
uint8_t h2 = rvmap[2](i2 + k) ^ h3; |
328 |
root |
1.13 |
|
329 |
|
|
for (int j = -1; j <= 2; ++j) |
330 |
root |
1.2 |
{ |
331 |
root |
1.13 |
uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
332 |
root |
1.2 |
|
333 |
root |
1.13 |
for (int i = -1; i <= 2; ++i) |
334 |
root |
1.2 |
{ |
335 |
root |
1.13 |
vec3d A = F - vec3d (i, j, k); |
336 |
|
|
value_t d = dot (A, A); |
337 |
root |
1.2 |
|
338 |
root |
1.13 |
if (d < 4) |
339 |
|
|
{ |
340 |
|
|
value_t t1 = 1 - d / 4; |
341 |
|
|
value_t t2 = t1 * t1; |
342 |
|
|
value_t t4 = t2 * t2; |
343 |
root |
1.4 |
|
344 |
root |
1.13 |
// (4t⁵ - 3t⁴) |
345 |
|
|
value_t p = (4 * t1 - 3) * t4; |
346 |
root |
1.4 |
|
347 |
root |
1.13 |
uint8_t h = rvmap[0](i0 + i) ^ h1; |
348 |
|
|
const value_t *G = charges3[h & 0xff]; |
349 |
|
|
|
350 |
|
|
v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
351 |
|
|
} |
352 |
root |
1.2 |
} |
353 |
|
|
} |
354 |
root |
1.13 |
} |
355 |
root |
1.2 |
|
356 |
root |
1.12 |
return v * 2; |
357 |
root |
1.2 |
} |
358 |
|
|
|
359 |
root |
1.4 |
vec3d::T_numtype |
360 |
root |
1.13 |
noise_gen<vec3d>::operator() (vec3d P, vec3d N, uint32_t seed) |
361 |
root |
1.2 |
{ |
362 |
root |
1.4 |
vec3d I = floor (P); |
363 |
|
|
vec3d F = P - I; |
364 |
root |
1.2 |
|
365 |
root |
1.14 |
seed *= 3039177861; |
366 |
|
|
uint8_t i2 = uint8_t (I[2]) + (seed >> 24); |
367 |
|
|
uint8_t i1 = uint8_t (I[1]) + (seed >> 16); |
368 |
|
|
uint8_t i0 = uint8_t (I[0]) + (seed >> 8); |
369 |
|
|
|
370 |
|
|
uint8_t h3 = rvmap[3](seed); |
371 |
root |
1.13 |
|
372 |
|
|
value_t v = 0; |
373 |
|
|
|
374 |
|
|
for (int k = -1; k <= 2; ++k) |
375 |
|
|
{ |
376 |
root |
1.14 |
uint8_t h2 = rvmap[2](i2 + k) ^ h3; |
377 |
root |
1.2 |
|
378 |
root |
1.13 |
for (int j = -1; j <= 2; ++j) |
379 |
root |
1.2 |
{ |
380 |
root |
1.13 |
uint8_t h1 = rvmap[1](i1 + j) ^ h2; |
381 |
root |
1.2 |
|
382 |
root |
1.13 |
for (int i = -1; i <= 2; ++i) |
383 |
root |
1.2 |
{ |
384 |
root |
1.13 |
vec3d D = F - vec3d (i, j, k); |
385 |
|
|
value_t e = dot (D, N); |
386 |
|
|
value_t o = 1 - abs (e); |
387 |
root |
1.2 |
|
388 |
root |
1.13 |
if (o > 0) |
389 |
root |
1.2 |
{ |
390 |
root |
1.13 |
vec3d A = D - e * N; |
391 |
|
|
value_t d = dot (A, A); |
392 |
root |
1.4 |
|
393 |
root |
1.13 |
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 |
root |
1.4 |
|
405 |
root |
1.13 |
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 |
root |
1.2 |
} |
411 |
|
|
} |
412 |
|
|
} |
413 |
root |
1.13 |
} |
414 |
root |
1.2 |
|
415 |
root |
1.12 |
return v; |
416 |
root |
1.4 |
} |
417 |
|
|
|
418 |
|
|
template class noise_gen<vec2d>; |
419 |
|
|
template class noise_gen<vec3d>; |
420 |
|
|
|
421 |
|
|
///////////////////////////////////////////////////////////////////////////// |
422 |
|
|
|
423 |
|
|
template<class vec_t> |
424 |
root |
1.13 |
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 |
root |
1.1 |
{ |
427 |
root |
1.12 |
this->seed (seed); |
428 |
|
|
|
429 |
root |
1.4 |
value_t exsum = 0; |
430 |
root |
1.8 |
value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1; |
431 |
root |
1.1 |
|
432 |
root |
1.13 |
for (int i = 0; i < octaves; ++i) |
433 |
root |
1.1 |
{ |
434 |
root |
1.8 |
ex [i] = pow (lac, -h * i); |
435 |
root |
1.1 |
exsum += ex [i]; |
436 |
root |
1.8 |
fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic |
437 |
|
|
rot [i].set (phi * i + 1); |
438 |
root |
1.1 |
} |
439 |
|
|
} |
440 |
|
|
|
441 |
root |
1.4 |
template<class vec_t> |
442 |
|
|
typename frac_gen<vec_t>::value_t |
443 |
root |
1.13 |
frac_gen<vec_t>::fBm (vec_t P) |
444 |
root |
1.1 |
{ |
445 |
root |
1.8 |
value_t v = 0; |
446 |
root |
1.1 |
|
447 |
|
|
for (int i = 0; i < octaves; ++i) |
448 |
|
|
{ |
449 |
root |
1.4 |
rot [i](P); |
450 |
root |
1.13 |
v += noise (P, i) * ex [i]; |
451 |
root |
1.4 |
P *= lac; |
452 |
root |
1.1 |
} |
453 |
|
|
|
454 |
root |
1.12 |
return v * fbm_mul [octaves - 1]; |
455 |
root |
1.1 |
} |
456 |
|
|
|
457 |
root |
1.4 |
template<class vec_t> |
458 |
|
|
typename frac_gen<vec_t>::value_t |
459 |
root |
1.13 |
frac_gen<vec_t>::turbulence (vec_t P) |
460 |
root |
1.1 |
{ |
461 |
root |
1.8 |
value_t v = 0; |
462 |
root |
1.1 |
|
463 |
|
|
for (int i = 0; i < octaves; ++i) |
464 |
|
|
{ |
465 |
root |
1.4 |
rot [i](P); |
466 |
root |
1.13 |
v += abs (noise (P, i)) * ex [i]; |
467 |
root |
1.4 |
P *= lac; |
468 |
root |
1.1 |
} |
469 |
|
|
|
470 |
root |
1.12 |
return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ()); |
471 |
root |
1.1 |
} |
472 |
|
|
|
473 |
root |
1.4 |
template<class vec_t> |
474 |
|
|
typename frac_gen<vec_t>::value_t |
475 |
root |
1.13 |
frac_gen<vec_t>::multifractal (vec_t P, value_t offset) |
476 |
root |
1.1 |
{ |
477 |
root |
1.8 |
value_t v = 1; |
478 |
root |
1.1 |
|
479 |
|
|
for (int i = 0; i < octaves; ++i) |
480 |
|
|
{ |
481 |
root |
1.4 |
rot [i](P); |
482 |
|
|
v *= noise (P) * ex [i] + offset; |
483 |
|
|
P *= lac; |
484 |
root |
1.1 |
} |
485 |
|
|
|
486 |
root |
1.12 |
return v * value_t (0.5); |
487 |
root |
1.1 |
} |
488 |
|
|
|
489 |
root |
1.4 |
template<class vec_t> |
490 |
|
|
typename frac_gen<vec_t>::value_t |
491 |
root |
1.13 |
frac_gen<vec_t>::heterofractal (vec_t P, value_t offset) |
492 |
root |
1.1 |
{ |
493 |
root |
1.4 |
value_t v = noise (P) + offset; |
494 |
root |
1.1 |
|
495 |
root |
1.8 |
for (int i = 1; i < octaves; ++i) |
496 |
root |
1.1 |
{ |
497 |
root |
1.4 |
rot [i](P); |
498 |
|
|
P *= lac; |
499 |
|
|
v += v * (noise (P) * ex [i] + offset); |
500 |
root |
1.1 |
} |
501 |
|
|
|
502 |
root |
1.8 |
return v / (1 << octaves); |
503 |
root |
1.1 |
} |
504 |
|
|
|
505 |
root |
1.4 |
template<class vec_t> |
506 |
|
|
typename frac_gen<vec_t>::value_t |
507 |
root |
1.13 |
frac_gen<vec_t>::hybridfractal (vec_t P, value_t offset, value_t gain) |
508 |
root |
1.1 |
{ |
509 |
root |
1.4 |
value_t v = (noise (P) + offset) * ex [0]; |
510 |
|
|
value_t weight = v; |
511 |
root |
1.1 |
|
512 |
root |
1.8 |
for (int i = 1; i < octaves; ++i) |
513 |
root |
1.1 |
{ |
514 |
root |
1.4 |
rot [i](P); |
515 |
|
|
P *= lac; |
516 |
root |
1.1 |
|
517 |
root |
1.8 |
min_it (weight, 1); |
518 |
root |
1.1 |
|
519 |
root |
1.4 |
value_t sig = (noise (P) + offset) * ex [i]; |
520 |
root |
1.1 |
v += weight * sig; |
521 |
|
|
weight *= gain * sig; |
522 |
|
|
} |
523 |
|
|
|
524 |
root |
1.12 |
return v * value_t (0.5) + value_t (0.5); |
525 |
root |
1.1 |
} |
526 |
|
|
|
527 |
root |
1.4 |
template<class vec_t> |
528 |
|
|
typename frac_gen<vec_t>::value_t |
529 |
root |
1.13 |
frac_gen<vec_t>::ridgedmultifractal (vec_t P, value_t offset, value_t gain) |
530 |
root |
1.4 |
{ |
531 |
|
|
value_t sig = offset - abs (noise (P)); |
532 |
|
|
sig *= sig; |
533 |
|
|
value_t v = sig; |
534 |
|
|
|
535 |
|
|
for (int i = 1; i < octaves; ++i) |
536 |
|
|
{ |
537 |
|
|
rot [i](P); |
538 |
|
|
P *= lac; |
539 |
|
|
|
540 |
root |
1.13 |
// weight higher octaves by previous signal |
541 |
root |
1.8 |
value_t w = clamp (sig * gain, 0, 1); |
542 |
root |
1.4 |
|
543 |
|
|
sig = offset - abs (noise (P)); |
544 |
|
|
sig *= sig; |
545 |
|
|
sig *= w; |
546 |
|
|
|
547 |
|
|
v += sig * ex [i]; |
548 |
|
|
} |
549 |
|
|
|
550 |
root |
1.12 |
return v * value_t (0.25); |
551 |
root |
1.8 |
} |
552 |
|
|
|
553 |
|
|
template<class vec_t> |
554 |
|
|
typename frac_gen<vec_t>::value_t |
555 |
root |
1.13 |
frac_gen<vec_t>::billowfractal (vec_t P, value_t offset, value_t gain) |
556 |
root |
1.8 |
{ |
557 |
|
|
value_t v = 0; |
558 |
|
|
|
559 |
|
|
offset += 2 * noise_gen<vec_t>::abs_avg () - 1; |
560 |
|
|
|
561 |
|
|
for (int i = 0; i < octaves; ++i) |
562 |
|
|
{ |
563 |
|
|
rot [i](P); |
564 |
root |
1.13 |
v += (abs (noise (P, i)) * gain - offset) * ex [i]; |
565 |
root |
1.8 |
P *= lac; |
566 |
|
|
} |
567 |
|
|
|
568 |
root |
1.12 |
return v; |
569 |
root |
1.4 |
} |
570 |
|
|
|
571 |
root |
1.1 |
// http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
572 |
root |
1.4 |
template<class vec_t> |
573 |
|
|
typename frac_gen<vec_t>::value_t |
574 |
root |
1.13 |
frac_gen<vec_t>::terrain (vec_t P) |
575 |
root |
1.1 |
{ |
576 |
root |
1.8 |
value_t v = 0; |
577 |
root |
1.1 |
|
578 |
|
|
for (int i = 0; i < octaves; ++i) |
579 |
|
|
{ |
580 |
root |
1.4 |
rot [i](P); |
581 |
|
|
v += noise (P) * ex [i]; |
582 |
|
|
P *= lac; |
583 |
root |
1.1 |
} |
584 |
|
|
|
585 |
|
|
v *= fbm_mul [octaves - 1]; |
586 |
|
|
|
587 |
root |
1.8 |
return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v); |
588 |
root |
1.1 |
} |
589 |
|
|
|
590 |
root |
1.4 |
template<class vec_t> |
591 |
|
|
typename frac_gen<vec_t>::value_t |
592 |
root |
1.13 |
frac_gen<vec_t>::terrain2 (vec_t P) |
593 |
root |
1.1 |
{ |
594 |
root |
1.13 |
value_t a = fBm (P); |
595 |
|
|
value_t b = ridgedmultifractal (P, 1, 8); |
596 |
|
|
value_t fade = fBm (P + vec_t(10.3)); |
597 |
root |
1.1 |
|
598 |
root |
1.8 |
const value_t width = 0.05; |
599 |
root |
1.1 |
|
600 |
root |
1.8 |
if (fade > 0.5 + width) |
601 |
root |
1.1 |
return a; |
602 |
root |
1.8 |
else if (fade < 0.5 - width) |
603 |
root |
1.1 |
return b; |
604 |
|
|
|
605 |
root |
1.8 |
fade = (fade - 0.5 + width) / (width * 2); |
606 |
root |
1.1 |
|
607 |
|
|
// sigmoidal curve |
608 |
root |
1.8 |
fade = fade * fade * 2 * (1.5 - fade); |
609 |
root |
1.1 |
|
610 |
|
|
return a * fade + b * (1 - fade); |
611 |
|
|
} |
612 |
|
|
|
613 |
root |
1.4 |
template class frac_gen<vec2d>; |
614 |
|
|
template class frac_gen<vec3d>; |
615 |
root |
1.1 |
|