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/cvs/deliantra/server/common/noise.C
Revision: 1.25
Committed: Wed Dec 5 19:03:26 2018 UTC (5 years, 5 months ago) by root
Content type: text/plain
Branch: MAIN
CVS Tags: HEAD
Changes since 1.24: +0 -3 lines
Log Message: 
some bugfixes

File Contents

# Content
1 /*
2 * This file is part of Deliantra, the Roguelike Realtime MMORPG.
3 *
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
6 *
7 * Deliantra is free software: you can redistribute it and/or modify it under
8 * the terms of the Affero GNU General Public License as published by the
9 * Free Software Foundation, either version 3 of the License, or (at your
10 * option) any later version.
11 *
12 * This program is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
16 *
17 * You should have received a copy of the Affero GNU General Public License
18 * and the GNU General Public License along with this program. If not, see
19 * <http://www.gnu.org/licenses/>.
20 *
21 * The authors can be reached via e-mail to <support@deliantra.net>
22 */
23
24 #include "noise.h"
25
26 /////////////////////////////////////////////////////////////////////////////
27
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
97 // used as gradient vectors for noise3d
98 static const float charges3[256][3] = {
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,
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,
117 5.79609682e-01, 2.34839316e-01, -7.80322441e-01, 5.21842141e-02, 4.80310769e-01, -8.75544615e-01,
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 < ecb_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)
258 {
259 seedable_rand_gen rng (seed);
260
261 this->seed (rng);
262 }
263
264 template<>
265 vec2d::T_numtype
266 noise_gen_base<vec2d>::operator() (vec2d P, uint32_t seed)
267 {
268 vec2d I = floor (P);
269 vec2d F = P - I;
270
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);
278
279 for (int j = -1; j <= 2; ++j)
280 {
281 uint8_t h1 = rvmap[1](i1 + j) ^ h2;
282
283 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
304 return v;
305 }
306
307 /////////////////////////////////////////////////////////////////////////////
308
309 template<>
310 vec3d::T_numtype
311 noise_gen_base<vec3d>::operator() (vec3d P, uint32_t seed)
312 {
313 vec3d I = floor (P);
314 vec3d F = P - I;
315
316 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
323 value_t v = 0;
324
325 for (int k = -1; k <= 2; ++k)
326 {
327 uint8_t h2 = rvmap[2](i2 + k) ^ h3;
328
329 for (int j = -1; j <= 2; ++j)
330 {
331 uint8_t h1 = rvmap[1](i1 + j) ^ h2;
332
333 for (int i = -1; i <= 2; ++i)
334 {
335 vec3d A = F - vec3d (i, j, k);
336 value_t d = dot (A, A);
337
338 if (d < 4)
339 {
340 value_t t1 = 1 - d / 4;
341 value_t t2 = t1 * t1;
342 value_t t4 = t2 * t2;
343
344 // (4t⁵ - 3t⁴)
345 value_t p = (4 * t1 - 3) * t4;
346
347 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 }
353 }
354 }
355
356 return v * 2;
357 }
358
359 vec3d::T_numtype
360 noise_gen<vec3d>::operator() (vec3d P, vec3d N, uint32_t seed)
361 {
362 vec3d I = floor (P);
363 vec3d F = P - I;
364
365 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
372 value_t v = 0;
373
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 /////////////////////////////////////////////////////////////////////////////
419
420 template<class vec_t>
421 frac_gen<vec_t>::frac_gen (int octaves, value_t lacunarity, value_t hurst_expo, seed_t seed)
422 : octaves (octaves), lac (lacunarity), h (hurst_expo)
423 {
424 this->seed (seed);
425
426 value_t exsum = 0;
427 value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1;
428
429 for (int i = 0; i < octaves; ++i)
430 {
431 ex [i] = pow (lac, -h * i);
432 exsum += ex [i];
433 fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic
434 rot [i].set (phi * i + 1);
435 }
436 }
437
438 template<class vec_t>
439 typename frac_gen<vec_t>::value_t
440 frac_gen<vec_t>::fBm (vec_t P)
441 {
442 value_t v = 0;
443
444 for (int i = 0; i < octaves; ++i)
445 {
446 rot [i](P);
447 v += noise (P, i) * ex [i];
448 P *= lac;
449 }
450
451 return v * fbm_mul [octaves - 1];
452 }
453
454 template<class vec_t>
455 typename frac_gen<vec_t>::value_t
456 frac_gen<vec_t>::turbulence (vec_t P)
457 {
458 value_t v = 0;
459
460 for (int i = 0; i < octaves; ++i)
461 {
462 rot [i](P);
463 v += abs (noise (P, i)) * ex [i];
464 P *= lac;
465 }
466
467 return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ());
468 }
469
470 template<class vec_t>
471 typename frac_gen<vec_t>::value_t
472 frac_gen<vec_t>::multifractal (vec_t P, value_t offset)
473 {
474 value_t v = 1;
475
476 for (int i = 0; i < octaves; ++i)
477 {
478 rot [i](P);
479 v *= noise (P) * ex [i] + offset;
480 P *= lac;
481 }
482
483 return v * value_t (0.5);
484 }
485
486 template<class vec_t>
487 typename frac_gen<vec_t>::value_t
488 frac_gen<vec_t>::heterofractal (vec_t P, value_t offset)
489 {
490 value_t v = noise (P) + offset;
491
492 for (int i = 1; i < octaves; ++i)
493 {
494 rot [i](P);
495 P *= lac;
496 v += v * (noise (P) * ex [i] + offset);
497 }
498
499 return v / (1 << octaves);
500 }
501
502 template<class vec_t>
503 typename frac_gen<vec_t>::value_t
504 frac_gen<vec_t>::hybridfractal (vec_t P, value_t offset, value_t gain)
505 {
506 value_t v = (noise (P) + offset) * ex [0];
507 value_t weight = v;
508
509 for (int i = 1; i < octaves; ++i)
510 {
511 rot [i](P);
512 P *= lac;
513
514 min_it (weight, 1);
515
516 value_t sig = (noise (P) + offset) * ex [i];
517 v += weight * sig;
518 weight *= gain * sig;
519 }
520
521 return v * value_t (0.5) + value_t (0.5);
522 }
523
524 template<class vec_t>
525 typename frac_gen<vec_t>::value_t
526 frac_gen<vec_t>::ridgedmultifractal (vec_t P, value_t offset, value_t gain)
527 {
528 value_t sig = offset - abs (noise (P));
529 sig *= sig;
530 value_t v = sig;
531
532 for (int i = 1; i < octaves; ++i)
533 {
534 rot [i](P);
535 P *= lac;
536
537 // weight higher octaves by previous signal
538 value_t w = clamp (sig * gain, 0, 1);
539
540 sig = offset - abs (noise (P));
541 sig *= sig;
542 sig *= w;
543
544 v += sig * ex [i];
545 }
546
547 return v * value_t (0.25);
548 }
549
550 template<class vec_t>
551 typename frac_gen<vec_t>::value_t
552 frac_gen<vec_t>::billowfractal (vec_t P, value_t offset, value_t gain)
553 {
554 value_t v = 0;
555
556 offset += 2 * noise_gen<vec_t>::abs_avg () - 1;
557
558 for (int i = 0; i < octaves; ++i)
559 {
560 rot [i](P);
561 v += (abs (noise (P, i)) * gain - offset) * ex [i];
562 P *= lac;
563 }
564
565 return v;
566 }
567
568 // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2
569 template<class vec_t>
570 typename frac_gen<vec_t>::value_t
571 frac_gen<vec_t>::terrain (vec_t P)
572 {
573 value_t v = 0;
574
575 for (int i = 0; i < octaves; ++i)
576 {
577 rot [i](P);
578 v += noise (P) * ex [i];
579 P *= lac;
580 }
581
582 v *= fbm_mul [octaves - 1];
583
584 return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v);
585 }
586
587 template<class vec_t>
588 typename frac_gen<vec_t>::value_t
589 frac_gen<vec_t>::terrain2 (vec_t P)
590 {
591 value_t a = fBm (P);
592 value_t b = ridgedmultifractal (P, 1, 8);
593 value_t fade = fBm (P + vec_t(10.3));
594
595 const value_t width = 0.05;
596
597 if (fade > 0.5 + width)
598 return a;
599 else if (fade < 0.5 - width)
600 return b;
601
602 fade = (fade - 0.5 + width) / (width * 2);
603
604 // sigmoidal curve
605 fade = fade * fade * 2 * (1.5 - fade);
606
607 return a * fade + b * (1 - fade);
608 }
609
610 template class frac_gen<vec2d>;
611 template class frac_gen<vec3d>;
612