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/cvs/deliantra/server/common/noise.C
Revision: 1.13
Committed: Sat Apr 30 05:41:17 2011 UTC (13 years ago) by root
Content type: text/plain
Branch: MAIN
Changes since 1.12: +191 -185 lines
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File Contents

# User Rev Content
1 root 1.1 /*
2     * This file is part of Deliantra, the Roguelike Realtime MMORPG.
3     *
4 root 1.5 * Copyright (©) 2010,2011 Marc Alexander Lehmann / Robin Redeker / the Deliantra team
5 root 1.1 *
6     * Deliantra is free software: you can redistribute it and/or modify it under
7     * the terms of the Affero GNU General Public License as published by the
8     * Free Software Foundation, either version 3 of the License, or (at your
9     * option) any later version.
10     *
11     * This program is distributed in the hope that it will be useful,
12     * but WITHOUT ANY WARRANTY; without even the implied warranty of
13     * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14     * GNU General Public License for more details.
15     *
16     * 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     * <http://www.gnu.org/licenses/>.
19     *
20     * The authors can be reached via e-mail to <support@deliantra.net>
21     */
22    
23     #include "noise.h"
24    
25 root 1.2 /////////////////////////////////////////////////////////////////////////////
26    
27 root 1.8 // perl -e 'for(0..255) { $p = (atan2 1,0) / 64 * $_; printf " %10g, %10g,\n", sin $p, cos $p }' | sort -R
28     static const float charges2[256][2] = {
29     -.975702, -.219101, .893224, .449611, .870087, -.492898, .595699, -.803208,
30     .14673, .989177, .995185, .0980171, .91421, -.405241, -.514103, .857729,
31     -.985278, -.170962, -.689541, -.724247, -.427555, .903989, .83147, -.55557,
32     .999699, -.0245412, .634393, .77301, -.514103, -.857729, -.0735646, -.99729,
33     .514103, -.857729, -.595699, -.803208, -.290285, .95694, .595699, .803208,
34     .266713, .963776, -.33689, .941544, .492898, -.870087, -.471397, -.881921,
35     -.99729, -.0735646, .615232, -.788346, -.91421, -.405241, -.575808, .817585,
36     .0980171, .995185, -.980785, .19509, -.122411, -.99248, .0735646, .99729,
37     -.634393, .77301, -.91421, .405241, .99248, .122411, .903989, -.427555,
38     -.24298, .970031, -.857729, .514103, -.359895, .932993, .382683, .92388,
39     .740951, -.671559, -.893224, .449611, -.95694, -.290285, -.975702, .219101,
40     -.970031, .24298, .999699, .0245412, -.405241, .91421, .985278, .170962,
41     .382683, -.92388, .95694, -.290285, .707107, -.707107, -.817585, -.575808,
42     -.989177, .14673, -.19509, -.980785, -.359895, -.932993, .313682, .949528,
43     -.0980171, .995185, 1, 6.12323e-17, .963776, -.266713, .998795, -.0490677,
44     -.998795, -.0490677, -.970031, -.24298, -.55557, .83147, -.14673, .989177,
45     -.83147, -.55557, -.995185, -.0980171, .870087, .492898, .941544, -.33689,
46     .575808, -.817585, .33689, .941544, .19509, -.980785, 0, 1,
47     .219101, -.975702, -.83147, .55557, .757209, -.653173, -.95694, .290285,
48     -.266713, .963776, -.0490677, .998795, .405241, .91421, -.405241, -.91421,
49     -.689541, .724247, -.534998, -.844854, -.99248, -.122411, .724247, .689541,
50     .492898, .870087, .817585, -.575808, .740951, .671559, -.33689, -.941544,
51     .95694, .290285, .77301, -.634393, .0245412, -.999699, -.77301, -.634393,
52     -.382683, .92388, -.24298, -.970031, -.893224, -.449611, .449611, .893224,
53     .975702, -.219101, -.382683, -.92388, .844854, .534998, -.803208, -.595699,
54     .941544, .33689, .963776, .266713, .932993, .359895, -.0735646, .99729,
55     .634393, -.77301, .405241, -.91421, .33689, -.941544, .99729, .0735646,
56     1.22465e-16, -1, -.941544, -.33689, .0490677, -.998795, -.313682, .949528,
57     .92388, .382683, -.999699, .0245412, .0245412, .999699, .653173, .757209,
58     -.803208, .595699, .980785, -.19509, .817585, .575808, .975702, .219101,
59     -.615232, -.788346, .99248, -.122411, .998795, .0490677, -.707107, .707107,
60     .803208, -.595699, .671559, .740951, -.757209, -.653173, -.949528, .313682,
61     -.989177, -.14673, -.817585, .575808, -.14673, -.989177, -1, -1.83697e-16,
62     .290285, .95694, -.932993, -.359895, .24298, -.970031, .170962, .985278,
63     -.671559, -.740951, .427555, .903989, .427555, -.903989, -.941544, .33689,
64     -.492898, -.870087, -.266713, -.963776, .857729, -.514103, -.724247, .689541,
65     .724247, -.689541, -.653173, .757209, .689541, -.724247, .949528, -.313682,
66     -.19509, .980785, -.740951, .671559, -.999699, -.0245412, .689541, .724247,
67     .803208, .595699, -.170962, .985278, .0735646, -.99729, .970031, -.24298,
68     -.170962, -.985278, .471397, .881921, .91421, .405241, .893224, -.449611,
69     .0490677, .998795, -.615232, .788346, -.998795, .0490677, -.427555, -.903989,
70     -.0245412, .999699, -.534998, .844854, -.313682, -.949528, -.55557, -.83147,
71     -.903989, -.427555, -.724247, -.689541, -.740951, -.671559, .985278, -.170962,
72     -.857729, -.514103, -.99729, .0735646, .881921, -.471397, .534998, .844854,
73     .359895, -.932993, .77301, .634393, .99729, -.0735646, .290285, -.95694,
74     .575808, .817585, .757209, .653173, .903989, .427555, -.995185, .0980171,
75     -.903989, .427555, -.844854, .534998, -.707107, -.707107, -.92388, .382683,
76     -.653173, -.757209, -.881921, -.471397, -.219101, .975702, -.595699, .803208,
77     .0980171, -.995185, -.788346, .615232, -.0980171, -.995185, -.985278, .170962,
78     .122411, .99248, -.449611, -.893224, .170962, -.985278, .788346, .615232,
79     -.492898, .870087, .671559, -.740951, .449611, -.893224, -.757209, .653173,
80     .83147, .55557, -.290285, -.95694, -.932993, .359895, -.870087, -.492898,
81     .266713, -.963776, -.881921, .471397, -.77301, .634393, -.471397, .881921,
82     .844854, -.534998, .707107, .707107, .534998, -.844854, .514103, .857729,
83     .14673, -.989177, .980785, .19509, -.122411, .99248, -.449611, .893224,
84     .995185, -.0980171, -.634393, -.77301, .857729, .514103, .55557, .83147,
85     -.92388, -.382683, -.844854, -.534998, -.963776, .266713, .989177, -.14673,
86     .313682, -.949528, .359895, .932993, .24298, .970031, -.949528, -.313682,
87     .932993, -.359895, .55557, -.83147, .615232, .788346, -.788346, -.615232,
88     -.0245412, -.999699, -.219101, -.975702, .788346, -.615232, -.99248, .122411,
89     -.671559, .740951, -.870087, .492898, .970031, .24298, .881921, .471397,
90     .122411, -.99248, .471397, -.881921, .19509, .980785, -.963776, -.266713,
91     .92388, -.382683, .989177, .14673, -.575808, -.817585, .219101, .975702,
92     -.0490677, -.998795, -.980785, -.19509, .949528, .313682, .653173, -.757209,
93     };
94    
95 root 1.4 // http://www-wales.ch.cam.ac.uk/~wales/CCD/Thomson/table.html, random permutation
96 root 1.6 // used as gradient vectors for noise3d
97 root 1.8 static const float charges3[256][3] = {
98 root 1.4 6.32096444e-01, -6.11406706e-01, 4.76062943e-01, 5.19172442e-01, 8.08229585e-01, -2.77893708e-01,
99     -8.81072422e-01, -4.68301230e-01, 6.63727731e-02, -1.92122323e-01, 9.81341519e-01, -7.60505942e-03,
100     -2.57478265e-01, 9.34157733e-01, -2.47091628e-01, 8.75501090e-01, -1.48087600e-01, -4.59965112e-01,
101     -6.44086082e-01, 3.21868600e-01, 6.93940720e-01, -4.42053435e-01, -1.94962529e-01, -8.75544615e-01,
102     -6.86776297e-01, 5.34610386e-01, -4.92473403e-01, -8.45541961e-01, -2.41708225e-01, 4.76062943e-01,
103     1.87301993e-01, 3.04913657e-01, 9.33780287e-01, -8.21274139e-01, 4.76841979e-01, -3.13257905e-01,
104     1.82393582e-01, 9.78673695e-01, -9.45006918e-02, -5.13996405e-01, 5.64894294e-01, -6.45524695e-01,
105     -2.85987088e-01, -5.27238900e-01, -8.00144067e-01, 3.72992508e-01, 8.73495087e-01, 3.12862464e-01,
106     3.07149790e-02, -1.36108589e-01, 9.90217674e-01, -9.42965190e-01, -1.13726556e-01, 3.12862464e-01,
107     -7.63495246e-01, -8.89713729e-02, -6.39655457e-01, -4.93181655e-01, 3.84537051e-01, -7.80322441e-01,
108     9.59053138e-01, -6.07981062e-03, -2.83160934e-01, 8.47504655e-02, 6.82510620e-01, -7.25945323e-01,
109     2.72233465e-01, 7.06503091e-01, 6.53255175e-01, -6.69781595e-01, 6.75521448e-01, -3.08323512e-01,
110     -9.83646297e-01, 1.64266522e-01, -7.38679386e-02, -1.33230986e-01, 4.14543427e-02, 9.90217674e-01,
111     -9.68112521e-01, -2.24691711e-01, 1.10778074e-01, 2.60286884e-01, 5.44444585e-01, -7.97390012e-01,
112     -9.59533574e-01, 4.55017306e-02, -2.77893708e-01, 6.34082129e-01, 7.69729420e-01, -7.38679387e-02,
113     8.71590956e-01, -4.57032412e-01, -1.77343115e-01, -5.65998169e-01, -6.84162385e-01, -4.59965112e-01,
114     1.31348131e-01, -9.34573215e-01, 3.30636620e-01, 9.37743461e-01, -2.44096148e-01, -2.47091628e-01,
115     -2.32019785e-03, -9.49665258e-01, -3.13257905e-01, 5.58257270e-01, -6.92564967e-01, -4.56839782e-01,
116     5.79609682e-01, 2.34839316e-01, -7.80322441e-01, 5.21842141e-02, 4.80310769e-01, -8.75544615e-01,
117     5.48696303e-01, -4.14651366e-01, -7.25945323e-01, -5.13713359e-02, -3.67059868e-01, 9.28777712e-01,
118     -8.31597157e-01, -5.26303703e-01, -1.77343115e-01, 7.60006362e-01, -6.75440951e-02, -6.46396260e-01,
119     -6.35840799e-01, -7.53287574e-01, 1.68119925e-01, 6.00789426e-01, 3.96860609e-01, 6.93940720e-01,
120     -3.99937982e-02, 9.83336115e-01, -1.77343115e-01, -4.74261299e-01, 8.33604286e-01, -2.83160934e-01,
121     8.74744319e-01, 8.54351386e-02, -4.76993934e-01, 2.64896284e-01, -6.69736874e-01, 6.93745254e-01,
122     -2.24976555e-01, -1.01696579e-01, -9.69042494e-01, 6.08580404e-01, -2.06649545e-01, 7.66110865e-01,
123     -2.32214607e-01, -7.27581091e-01, -6.45524695e-01, -1.14732673e-01, 7.81826288e-01, -6.12849141e-01,
124     -5.46171508e-01, 5.27060305e-01, 6.51079195e-01, 1.70411976e-01, -3.14665113e-01, 9.33780287e-01,
125     -1.14827108e-01, 9.66494440e-01, 2.29571847e-01, 6.62214703e-01, -4.23664923e-01, 6.18045079e-01,
126     3.43568839e-01, 1.39041052e-01, 9.28777712e-01, 2.65015805e-01, 5.00565290e-01, 8.24136526e-01,
127     -4.26259648e-01, -7.20031380e-01, 5.47592480e-01, 7.57191364e-01, -5.91945814e-01, 2.76154652e-01,
128     9.94315593e-01, 4.60290452e-02, 9.60095232e-02, 9.70286575e-01, -1.74010497e-01, 1.68119925e-01,
129     1.34044431e-01, 9.51719864e-01, 2.76154652e-01, -3.21508279e-01, 6.91956864e-01, -6.46396261e-01,
130     -9.15927355e-01, 3.90047734e-01, -9.45507570e-02, -3.57713970e-01, 9.75145600e-03, 9.33780287e-01,
131     4.58799092e-01, -6.16720593e-01, -6.39655457e-01, -4.06287592e-01, 9.10837959e-01, -7.28327195e-02,
132     7.69084079e-01, -2.21547533e-01, 5.99521785e-01, 4.32966564e-02, -7.18729210e-01, 6.93940720e-01,
133     7.91803580e-01, -4.28020920e-01, 4.35712270e-01, 3.04696154e-01, 7.05691965e-01, -6.39655457e-01,
134     6.46420856e-01, 4.00281039e-01, -6.49549973e-01, 8.31864266e-01, -3.69542234e-01, -4.14053595e-01,
135     8.23594337e-01, 4.72823279e-01, -3.13257905e-01, -5.85665015e-01, -8.07274355e-01, -7.28327193e-02,
136     -5.65385161e-02, -4.32158277e-01, -9.00023678e-01, 2.06686552e-01, -8.22754465e-01, 5.29486316e-01,
137     8.65928642e-01, 3.96271834e-01, 3.05182275e-01, 1.87431189e-02, 4.56064322e-01, 8.89749419e-01,
138     -5.94715001e-01, -2.32669312e-01, 7.69531714e-01, 5.99595825e-01, 1.59473663e-02, -8.00144067e-01,
139     9.58599657e-02, 6.31372955e-01, 7.69531714e-01, 3.20650220e-01, 8.29747462e-01, -4.56839782e-01,
140     -3.13608737e-01, 5.11291534e-01, -8.00144067e-01, -8.67906788e-01, 4.85339988e-01, 1.05749252e-01,
141     3.22455909e-01, 9.12507983e-01, -2.51696976e-01, 5.15563696e-01, 7.07202113e-01, -4.83796700e-01,
142     7.50491607e-01, -5.66571271e-01, -3.40234247e-01, -2.58299208e-01, -3.23551155e-01, -9.10272580e-01,
143     3.49564167e-01, -9.33995942e-01, -7.38679386e-02, 4.02529304e-01, 1.67115347e-01, -9.00023678e-01,
144     9.45927846e-01, -3.24287947e-01, -7.60505937e-03, -4.04334848e-01, -2.11800144e-01, 8.89749419e-01,
145     3.41359400e-01, -4.97637347e-01, -7.97390012e-01, 7.43690080e-01, 5.81037425e-01, 3.30636620e-01,
146     -8.15869544e-01, 2.32381428e-01, 5.29486316e-01, -2.73993936e-01, -4.03941386e-01, 8.72787878e-01,
147     -1.14485896e-01, -9.85759380e-01, -1.23172337e-01, -6.69863977e-01, 3.59676363e-01, -6.49549972e-01,
148     -7.96449717e-01, 5.92027384e-01, -1.23172337e-01, -6.19715090e-01, -4.90274553e-01, -6.12849141e-01,
149     -8.65910917e-01, -3.66659161e-01, -3.40234247e-01, 8.46096973e-01, -5.28880485e-01, 6.63727731e-02,
150     -8.91235794e-01, -3.59774050e-01, 2.76154652e-01, 4.20417732e-01, 3.46935142e-01, 8.38382334e-01,
151     -6.38459078e-01, 7.23512413e-01, 2.62487703e-01, -7.53805524e-01, -6.57053571e-01, -7.60505938e-03,
152     4.47561005e-01, 5.64275348e-01, 6.93745254e-01, 3.49754488e-02, 9.97181715e-01, 6.63727730e-02,
153     -1.28749619e-01, -5.72643486e-01, 8.09631381e-01, -6.36032129e-01, -6.58092804e-01, 4.02960285e-01,
154     -5.37020119e-01, 8.38088040e-01, 9.60095232e-02, -8.78907490e-01, -1.37182495e-01, -4.56839782e-01,
155     -9.33228374e-01, 1.34065997e-01, 3.33333333e-01, 6.80411181e-01, 5.47277055e-01, -4.87368906e-01,
156     -7.12457289e-01, 1.05461526e-01, 6.93745254e-01, 2.30586085e-01, 3.30051738e-01, -9.15366543e-01,
157     2.34431211e-02, -7.59957402e-01, -6.49549973e-01, -6.98011937e-01, -3.61662294e-01, 6.18045079e-01,
158     8.59171516e-01, 2.05105173e-01, 4.68781584e-01, 7.11862181e-01, 6.90797320e-01, 1.26693714e-01,
159     -2.12826534e-01, 4.39256402e-01, 8.72787878e-01, -3.62298594e-01, -9.25543476e-01, -1.10040912e-01,
160     -3.63383159e-01, -8.00268371e-01, -4.76993934e-01, -7.76145796e-01, 5.51780285e-01, 3.05182275e-01,
161     -1.92676248e-01, 7.76820116e-01, 5.99521785e-01, -9.19690664e-01, 2.65359911e-01, -2.89401453e-01,
162     -2.52247996e-02, 8.99732475e-01, 4.35712270e-01, 7.52676085e-01, 4.12472645e-01, 5.13171539e-01,
163     -1.19598027e-01, -8.62070913e-01, -4.92473403e-01, 9.40191063e-01, -1.58443230e-02, 3.40278890e-01,
164     -9.89903836e-01, 3.37653035e-02, 1.37660085e-01, 3.00994355e-01, -4.79793064e-01, 8.24136526e-01,
165     4.35219899e-01, 8.98427220e-01, -5.84137724e-02, -9.54179119e-01, 2.71092073e-01, 1.26693714e-01,
166     9.02457799e-02, -5.37560007e-01, 8.38382334e-01, -9.58991702e-02, 9.05186704e-01, -4.14053596e-01,
167     -8.97828463e-02, -9.48052118e-01, 3.05182275e-01, -7.79595183e-01, -5.82690413e-01, 2.29571847e-01,
168     -6.01646284e-01, -4.68072388e-02, -7.97390012e-01, -6.80265196e-01, -6.90061585e-01, -2.47091628e-01,
169     6.89653756e-01, 6.63795523e-01, -2.89401453e-01, -7.35965096e-01, -5.35644470e-01, -4.14053595e-01,
170     -4.83817118e-01, -8.06307183e-01, 3.40278890e-01, -2.51959468e-01, -8.46616946e-01, 4.68781584e-01,
171     2.89467531e-01, 9.50755892e-01, 1.10778074e-01, -4.31548997e-01, 3.97822184e-01, 8.09631381e-01,
172     1.03460411e-01, 8.29768433e-01, -5.48434400e-01, -7.70330748e-01, -3.25284873e-01, -5.48434400e-01,
173     4.75732892e-01, -5.89012642e-01, 6.53255175e-01, -4.56373945e-01, 8.22151506e-01, 3.40278890e-01,
174     -7.47966357e-01, -1.17490449e-01, 6.53255175e-01, -4.84791839e-01, -8.27524476e-01, -2.83160934e-01,
175     -8.75038211e-01, 3.53535790e-01, 3.30636620e-01, 4.09353123e-01, -6.19180984e-02, -9.10272580e-01,
176     -9.95670746e-01, -7.23021212e-02, -5.84137724e-02, -4.57295474e-01, -8.84117086e-01, 9.60095233e-02,
177     -8.64280276e-02, -6.19376367e-01, -7.80322441e-01, 2.44164564e-02, 2.45683701e-01, -9.69042494e-01,
178     8.94422292e-01, -3.83804027e-01, 2.29571847e-01, -8.62566691e-01, 4.52816156e-03, 5.05923116e-01,
179     9.19909533e-01, 2.42287152e-01, -3.08323512e-01, -4.01126232e-01, 3.46675383e-02, -9.15366543e-01,
180     9.51367455e-01, 2.99880902e-01, 7.05082324e-02, -5.61852646e-01, 1.73058019e-01, -8.08932956e-01,
181     5.60450847e-01, -8.26125099e-01, -5.84137724e-02, -4.83253958e-01, -4.23721318e-01, 7.66110865e-01,
182     -1.91262533e-02, -8.58072933e-01, 5.13171539e-01, 4.27361843e-01, -7.49268748e-01, 5.05923116e-01,
183     8.06374324e-01, 3.27460527e-01, -4.92473403e-01, -3.49075205e-01, -5.94876216e-01, 7.24064077e-01,
184     1.70540147e-01, -3.64719277e-01, -9.15366543e-01, -9.51483049e-01, -1.76998983e-01, -2.51696976e-01,
185     -3.34445776e-01, 9.27298072e-01, 1.68119925e-01, -2.58769450e-02, -2.24111854e-01, -9.74219821e-01,
186     3.50509628e-01, -8.75232478e-01, 3.33333333e-01, -5.11361160e-01, 7.14833233e-01, -4.76993934e-01,
187     2.13445517e-01, 8.53114931e-01, 4.76062943e-01, -7.35388206e-01, 6.73967933e-01, 7.05082324e-02,
188     -5.10663512e-01, 1.90624866e-01, 8.38382334e-01, 2.07025032e-01, 8.96458354e-02, -9.74219821e-01,
189     2.30036908e-01, -9.29155434e-01, -2.89401453e-01, -4.38498083e-01, -6.24412769e-01, -6.46396260e-01,
190     7.56359490e-01, -6.47294323e-01, -9.45006918e-02, -7.33549832e-01, 4.45600288e-01, 5.13171539e-01,
191     5.69972682e-01, -7.59768531e-01, 3.12862464e-01, 1.36366351e-02, -9.94299320e-01, 1.05749252e-01,
192     -1.20108971e-01, 6.12129242e-01, -7.81582770e-01, -6.20394866e-01, 7.76531524e-01, -1.10040912e-01,
193     3.85591729e-01, -2.44264178e-01, 8.89749420e-01, -8.14161423e-01, 3.15614840e-01, -4.87368906e-01,
194     1.15419311e-01, 9.33230432e-01, -3.40234248e-01, 5.90173960e-01, -2.02047201e-01, -7.81582770e-01,
195     8.54270153e-01, 5.08959332e-01, 1.05749252e-01, 7.95754924e-01, 5.98192490e-01, -9.45507571e-02,
196     3.54673147e-01, -8.00092315e-01, -4.83796700e-01, 9.91952607e-01, -1.03563604e-01, -7.28327194e-02,
197     -6.21935152e-02, 2.58972647e-01, 9.63880249e-01, -3.09502921e-01, 8.32249985e-01, -4.59965112e-01,
198     4.65710308e-01, -8.74164521e-01, 1.37660085e-01, 1.33750242e-01, -8.62891895e-01, -4.87368906e-01,
199     -2.51909022e-01, 8.79866384e-01, 4.02960285e-01, -6.67371446e-11, -8.00239945e-11, -1.00000000e+00,
200     -5.76407831e-01, -5.55272584e-01, 5.99521785e-01, -4.70064989e-01, -4.10082041e-01, -7.81582770e-01,
201     8.36695291e-01, -9.13599363e-03, 5.47592480e-01, 5.24193529e-01, 8.40399218e-01, 1.37660085e-01,
202     2.48438744e-01, -7.05895175e-01, -6.63317565e-01, 1.20172431e-01, -9.88240224e-01, -9.45507569e-02,
203     4.30798964e-01, 4.00049655e-01, -8.08932956e-01, -2.50127938e-01, -9.17808600e-01, -3.08323512e-01,
204     6.09182992e-01, 5.90373037e-01, 5.29486316e-01, -3.40640313e-01, 5.99746104e-01, 7.24064077e-01,
205     4.40361132e-01, -8.53731316e-01, -2.77893708e-01, -1.83361859e-01, -7.36528553e-01, 6.51079195e-01,
206     9.82693460e-01, 1.49011952e-01, -1.10040912e-01, 6.29027140e-01, -7.35509000e-01, -2.51696976e-01,
207     -8.70236843e-01, 9.28902018e-02, -4.83796700e-01, 9.45809668e-01, 1.91165575e-01, 2.62487703e-01,
208     2.00560098e-01, -1.43987122e-01, -9.69042494e-01, 1.02516007e-01, 9.46542469e-02, 9.90217674e-01,
209     -6.07212048e-01, 6.41511773e-01, 4.68781584e-01, 2.42316938e-01, -9.61889393e-01, 1.26693714e-01,
210     4.87103783e-01, 5.68101851e-01, -6.63317565e-01, -9.38753073e-01, -3.31379371e-01, -9.45006918e-02,
211     3.89869221e-01, -2.85348240e-01, -8.75544615e-01, -6.33446768e-01, -2.67859254e-01, -7.25945323e-01,
212     5.82718746e-01, 7.41166481e-01, 3.33333333e-01, 6.66870337e-01, -5.04483561e-01, -5.48434400e-01,
213     7.34447763e-01, -2.91551734e-01, -6.12849141e-01, 9.10935613e-01, 3.93731996e-01, -1.23172337e-01,
214     3.57972341e-02, 7.85327217e-01, 6.18045079e-01, -2.92197503e-01, 2.28018816e-01, 9.28777712e-01
215     -1.93180133e-01, -1.83347487e-01, 9.63880249e-01, -2.15979248e-01, -9.73848835e-01, 7.05082325e-02,
216     8.87941151e-01, -2.21773580e-01, 4.02960285e-01, 6.89715518e-01, -4.86988739e-03, 7.24064077e-01,
217     -4.10435643e-01, 7.29167374e-01, 5.47592480e-01, 7.46211012e-01, 1.62686797e-01, -6.45524695e-01,
218     -1.81148087e-01, 1.34466019e-01, -9.74219821e-01, -7.66578780e-01, -4.71711555e-01, 4.35712270e-01,
219     -5.66010160e-01, -2.07722258e-02, 8.24136526e-01, 7.29533368e-01, 2.09468249e-01, 6.51079195e-01,
220     -3.45990788e-01, 2.65042929e-01, -9.00023678e-01, -7.35542526e-01, 1.37793324e-01, -6.63317565e-01,
221     -1.25326447e-01, 6.30370863e-01, 7.66110865e-01, 1.31053682e-01, -5.73107674e-01, -8.08932955e-01,
222     4.86820470e-01, -3.53150162e-02, 8.72787878e-01, 4.35204849e-01, 7.44740586e-01, 5.05923116e-01,
223     4.98855035e-01, -3.98703643e-01, 7.69531714e-01, 2.55373649e-01, -7.56251592e-02, 9.63880249e-01,
224     -1.51053916e-01, 3.85469253e-01, -9.10272580e-01, 6.78644990e-01, -7.26064181e-01, 1.10778074e-01,
225     -3.07350590e-01, -9.14677987e-01, 2.62487703e-01, 5.60298616e-01, 1.74821302e-01, 8.09631381e-01,
226     };
227    
228 root 1.6 /////////////////////////////////////////////////////////////////////////////
229    
230     template<int N, typename T>
231     void
232 root 1.12 permutation<N,T>::seed (seedable_rand_gen &rng)
233 root 1.6 {
234     for (int i = 0; i < N; ++i)
235     pmap[i] = i;
236    
237     // fisher-yates to randomly perturb
238     for (int i = N; --i; )
239     ::swap (pmap[i], pmap[rng (i + 1)]);
240     }
241    
242     template class permutation<256, uint8_t>;
243    
244     /////////////////////////////////////////////////////////////////////////////
245    
246 root 1.12 template<class vec_t>
247     void
248     noise_gen_base<vec_t>::seed (seedable_rand_gen &rng)
249     {
250     for (int i = 0; i < array_length (rvmap); ++i)
251     rvmap[i].seed (rng);
252     }
253    
254     template<class vec_t>
255     void
256     noise_gen_base<vec_t>::seed (seed_t seed)
257 root 1.1 {
258     seedable_rand_gen rng (seed);
259    
260 root 1.12 this->seed (rng);
261 root 1.1 }
262    
263 root 1.12 template<>
264 root 1.4 vec2d::T_numtype
265 root 1.13 noise_gen_base<vec2d>::operator() (vec2d P, uint32_t seed)
266 root 1.1 {
267 root 1.4 vec2d I = floor (P);
268     vec2d F = P - I;
269 root 1.1
270 root 1.13 value_t v = 0;
271    
272     uint8_t i1 = uint8_t (I[1]) ^ (seed >> 16);
273     uint8_t i0 = uint8_t (I[0]) ^ (seed >> 8);
274 root 1.1
275     for (int j = -1; j <= 2; ++j)
276 root 1.13 {
277     uint8_t h1 = rvmap[1](i1 + j) ^ seed;
278 root 1.1
279 root 1.13 for (int i = -1; i <= 2; ++i)
280     {
281     vec2d A = F - vec2d (i, j);
282     value_t d = dot (A, A);
283    
284     if (d < 4)
285     {
286     value_t t1 = 1 - d / 4;
287     value_t t2 = t1 * t1;
288     value_t t4 = t2 * t2;
289    
290     value_t p = (4 * t1 - 3) * t4;
291    
292     uint8_t h = rvmap[0](i0 + i) ^ h1;
293     vec2d G = charges2[h & 0xff];
294    
295     v += dot (A, G) * p;
296     }
297     }
298     }
299 root 1.4
300 root 1.12 return v;
301 root 1.2 }
302    
303     /////////////////////////////////////////////////////////////////////////////
304    
305 root 1.12 template<>
306 root 1.4 vec3d::T_numtype
307 root 1.13 noise_gen_base<vec3d>::operator() (vec3d P, uint32_t seed)
308 root 1.2 {
309 root 1.4 vec3d I = floor (P);
310     vec3d F = P - I;
311 root 1.2
312 root 1.13 uint8_t i2 = uint8_t (I[2]) ^ (seed >> 24);
313     uint8_t i1 = uint8_t (I[1]) ^ (seed >> 16);
314     uint8_t i0 = uint8_t (I[0]) ^ (seed >> 8);
315 root 1.2
316 root 1.13 value_t v = 0;
317    
318     for (int k = -1; k <= 2; ++k)
319     {
320     uint8_t h2 = rvmap[2](i2 + k) ^ seed;
321    
322     for (int j = -1; j <= 2; ++j)
323 root 1.2 {
324 root 1.13 uint8_t h1 = rvmap[1](i1 + j) ^ h2;
325 root 1.2
326 root 1.13 for (int i = -1; i <= 2; ++i)
327 root 1.2 {
328 root 1.13 vec3d A = F - vec3d (i, j, k);
329     value_t d = dot (A, A);
330 root 1.2
331 root 1.13 if (d < 4)
332     {
333     value_t t1 = 1 - d / 4;
334     value_t t2 = t1 * t1;
335     value_t t4 = t2 * t2;
336 root 1.4
337 root 1.13 // (4t⁵ - 3t⁴)
338     value_t p = (4 * t1 - 3) * t4;
339 root 1.4
340 root 1.13 uint8_t h = rvmap[0](i0 + i) ^ h1;
341     const value_t *G = charges3[h & 0xff];
342    
343     v += dot (A, vec3d (G[0], G[1], G[2])) * p;
344     }
345 root 1.2 }
346     }
347 root 1.13 }
348 root 1.2
349 root 1.12 return v * 2;
350 root 1.2 }
351    
352 root 1.4 vec3d::T_numtype
353 root 1.13 noise_gen<vec3d>::operator() (vec3d P, vec3d N, uint32_t seed)
354 root 1.2 {
355 root 1.4 vec3d I = floor (P);
356     vec3d F = P - I;
357 root 1.2
358 root 1.13 uint8_t i2 = uint8_t (I[2]) ^ (seed >> 24);
359     uint8_t i1 = uint8_t (I[1]) ^ (seed >> 16);
360     uint8_t i0 = uint8_t (I[0]) ^ (seed >> 8);
361    
362     value_t v = 0;
363    
364     for (int k = -1; k <= 2; ++k)
365     {
366     uint8_t h2 = rvmap[2](i2 + k) ^ seed;
367 root 1.2
368 root 1.13 for (int j = -1; j <= 2; ++j)
369 root 1.2 {
370 root 1.13 uint8_t h1 = rvmap[1](i1 + j) ^ h2;
371 root 1.2
372 root 1.13 for (int i = -1; i <= 2; ++i)
373 root 1.2 {
374 root 1.13 vec3d D = F - vec3d (i, j, k);
375     value_t e = dot (D, N);
376     value_t o = 1 - abs (e);
377 root 1.2
378 root 1.13 if (o > 0)
379 root 1.2 {
380 root 1.13 vec3d A = D - e * N;
381     value_t d = dot (A, A);
382 root 1.4
383 root 1.13 if (d < 4)
384     {
385     value_t t1 = 1 - d / 4;
386     value_t t2 = t1 * t1;
387     value_t t4 = t2 * t2;
388    
389     value_t o2 = o * o;
390    
391     // (4t⁵ - 3t⁴) * (3o³ - 2o²)
392     // alternative? ((o * 6 - 15) * o + 10) * o³
393     value_t p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o);
394 root 1.4
395 root 1.13 uint8_t h = rvmap[0](i0 + i) ^ h1;
396     const value_t *G = charges3[h & 0xff];
397    
398     v += dot (A, vec3d (G[0], G[1], G[2])) * p;
399     }
400 root 1.2 }
401     }
402     }
403 root 1.13 }
404 root 1.2
405 root 1.12 return v;
406 root 1.4 }
407    
408     template class noise_gen<vec2d>;
409     template class noise_gen<vec3d>;
410    
411     /////////////////////////////////////////////////////////////////////////////
412    
413     template<class vec_t>
414 root 1.13 frac_gen<vec_t>::frac_gen (int octaves, value_t lacunarity, value_t hurst_expo, seed_t seed)
415     : octaves (octaves), lac (lacunarity), h (hurst_expo)
416 root 1.1 {
417 root 1.12 this->seed (seed);
418    
419 root 1.4 value_t exsum = 0;
420 root 1.8 value_t phi = noise (vec_t (value_t (0))) * 0.5 + 1;
421 root 1.1
422 root 1.13 for (int i = 0; i < octaves; ++i)
423 root 1.1 {
424 root 1.8 ex [i] = pow (lac, -h * i);
425 root 1.1 exsum += ex [i];
426 root 1.8 fbm_mul [i] = 0.5 / (exsum * 0.75); // .75 is a heuristic
427     rot [i].set (phi * i + 1);
428 root 1.1 }
429     }
430    
431 root 1.4 template<class vec_t>
432     typename frac_gen<vec_t>::value_t
433 root 1.13 frac_gen<vec_t>::fBm (vec_t P)
434 root 1.1 {
435 root 1.8 value_t v = 0;
436 root 1.1
437     for (int i = 0; i < octaves; ++i)
438     {
439 root 1.4 rot [i](P);
440 root 1.13 v += noise (P, i) * ex [i];
441 root 1.4 P *= lac;
442 root 1.1 }
443    
444 root 1.12 return v * fbm_mul [octaves - 1];
445 root 1.1 }
446    
447 root 1.4 template<class vec_t>
448     typename frac_gen<vec_t>::value_t
449 root 1.13 frac_gen<vec_t>::turbulence (vec_t P)
450 root 1.1 {
451 root 1.8 value_t v = 0;
452 root 1.1
453     for (int i = 0; i < octaves; ++i)
454     {
455 root 1.4 rot [i](P);
456 root 1.13 v += abs (noise (P, i)) * ex [i];
457 root 1.4 P *= lac;
458 root 1.1 }
459    
460 root 1.12 return v * fbm_mul [octaves - 1] * (0.5 / noise_gen<vec_t>::abs_avg ());
461 root 1.1 }
462    
463 root 1.4 template<class vec_t>
464     typename frac_gen<vec_t>::value_t
465 root 1.13 frac_gen<vec_t>::multifractal (vec_t P, value_t offset)
466 root 1.1 {
467 root 1.8 value_t v = 1;
468 root 1.1
469     for (int i = 0; i < octaves; ++i)
470     {
471 root 1.4 rot [i](P);
472     v *= noise (P) * ex [i] + offset;
473     P *= lac;
474 root 1.1 }
475    
476 root 1.12 return v * value_t (0.5);
477 root 1.1 }
478    
479 root 1.4 template<class vec_t>
480     typename frac_gen<vec_t>::value_t
481 root 1.13 frac_gen<vec_t>::heterofractal (vec_t P, value_t offset)
482 root 1.1 {
483 root 1.4 value_t v = noise (P) + offset;
484 root 1.1
485 root 1.8 for (int i = 1; i < octaves; ++i)
486 root 1.1 {
487 root 1.4 rot [i](P);
488     P *= lac;
489     v += v * (noise (P) * ex [i] + offset);
490 root 1.1 }
491    
492 root 1.8 return v / (1 << octaves);
493 root 1.1 }
494    
495 root 1.4 template<class vec_t>
496     typename frac_gen<vec_t>::value_t
497 root 1.13 frac_gen<vec_t>::hybridfractal (vec_t P, value_t offset, value_t gain)
498 root 1.1 {
499 root 1.4 value_t v = (noise (P) + offset) * ex [0];
500     value_t weight = v;
501 root 1.1
502 root 1.8 for (int i = 1; i < octaves; ++i)
503 root 1.1 {
504 root 1.4 rot [i](P);
505     P *= lac;
506 root 1.1
507 root 1.8 min_it (weight, 1);
508 root 1.1
509 root 1.4 value_t sig = (noise (P) + offset) * ex [i];
510 root 1.1 v += weight * sig;
511     weight *= gain * sig;
512     }
513    
514 root 1.12 return v * value_t (0.5) + value_t (0.5);
515 root 1.1 }
516    
517 root 1.4 template<class vec_t>
518     typename frac_gen<vec_t>::value_t
519 root 1.13 frac_gen<vec_t>::ridgedmultifractal (vec_t P, value_t offset, value_t gain)
520 root 1.4 {
521     value_t sig = offset - abs (noise (P));
522     sig *= sig;
523     value_t v = sig;
524    
525     for (int i = 1; i < octaves; ++i)
526     {
527     rot [i](P);
528     P *= lac;
529    
530 root 1.13 // weight higher octaves by previous signal
531 root 1.8 value_t w = clamp (sig * gain, 0, 1);
532 root 1.4
533     sig = offset - abs (noise (P));
534     sig *= sig;
535     sig *= w;
536    
537     v += sig * ex [i];
538     }
539    
540 root 1.12 return v * value_t (0.25);
541 root 1.8 }
542    
543     template<class vec_t>
544     typename frac_gen<vec_t>::value_t
545 root 1.13 frac_gen<vec_t>::billowfractal (vec_t P, value_t offset, value_t gain)
546 root 1.8 {
547     value_t v = 0;
548    
549     offset += 2 * noise_gen<vec_t>::abs_avg () - 1;
550    
551     for (int i = 0; i < octaves; ++i)
552     {
553     rot [i](P);
554 root 1.13 v += (abs (noise (P, i)) * gain - offset) * ex [i];
555 root 1.8 P *= lac;
556     }
557    
558 root 1.12 return v;
559 root 1.4 }
560    
561 root 1.1 // http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2
562 root 1.4 template<class vec_t>
563     typename frac_gen<vec_t>::value_t
564 root 1.13 frac_gen<vec_t>::terrain (vec_t P)
565 root 1.1 {
566 root 1.8 value_t v = 0;
567 root 1.1
568     for (int i = 0; i < octaves; ++i)
569     {
570 root 1.4 rot [i](P);
571     v += noise (P) * ex [i];
572     P *= lac;
573 root 1.1 }
574    
575     v *= fbm_mul [octaves - 1];
576    
577 root 1.8 return v <= 0 ? - pow (-v, 0.7) : pow (v, 1 + noise (P) * v);
578 root 1.1 }
579    
580 root 1.4 template<class vec_t>
581     typename frac_gen<vec_t>::value_t
582 root 1.13 frac_gen<vec_t>::terrain2 (vec_t P)
583 root 1.1 {
584 root 1.13 value_t a = fBm (P);
585     value_t b = ridgedmultifractal (P, 1, 8);
586     value_t fade = fBm (P + vec_t(10.3));
587 root 1.1
588 root 1.8 const value_t width = 0.05;
589 root 1.1
590 root 1.8 if (fade > 0.5 + width)
591 root 1.1 return a;
592 root 1.8 else if (fade < 0.5 - width)
593 root 1.1 return b;
594    
595 root 1.8 fade = (fade - 0.5 + width) / (width * 2);
596 root 1.1
597     // sigmoidal curve
598 root 1.8 fade = fade * fade * 2 * (1.5 - fade);
599 root 1.1
600     return a * fade + b * (1 - fade);
601     }
602    
603 root 1.4 template class frac_gen<vec2d>;
604     template class frac_gen<vec3d>;
605 root 1.1
606 root 1.4 /////////////////////////////////////////////////////////////////////////////
607 root 1.1
608 root 1.7 void noise_test ();
609     void noise_test ()
610 root 1.1 {
611 root 1.13 frac2d gen;
612    
613     frac2d vec_gen1 (4, 2, 0.5, 1);
614     frac2d vec_gen2 (4, 2, 0.5, 2);
615 root 1.1
616 root 1.7 #if 1
617 root 1.1 int N = 1024;
618    
619 root 1.13 printf ("P6 %d %d 255\n", N, N);
620 root 1.1 // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm
621     for (int y = 0; y < N; ++y)
622     {
623     if (!(y&63))fprintf (stderr, "y %d\n", y);//D
624     for (int x = 0; x < N; ++x)
625     {
626 root 1.13 vec2d P = vec2d (x, y) * (25000.f / N);
627 root 1.12
628 root 1.8 //putc (127 * gen.noise (vec2d (x * 0.01, y * 0.01)) + 128, stdout);
629 root 1.2 //putc (256 * gen.terrain2 (x * 0.004, y * 0.004, 8), stdout);
630 root 1.8 //putc (256 * gen.fBm (vec2d(x * 0.01, y * 0.01), 16), stdout);
631 root 1.12 //putc (256 * gen.turbulence (vec2d (x * 0.004 - 1, y * 0.004 - 1), 10), stdout);
632 root 1.8 //putc (256 * gen.heterofractal (vec2d (x * 0.008, y * 0.008), 8, 0.9), stdout);
633 root 1.4
634     // mountais or somesuch(?)
635 root 1.8 //putc (256 * gen.hybridfractal (vec2d (x * 0.01, y * 0.01), 8, -.4, -4), stdout);
636 root 1.4
637     // temperature
638 root 1.8 //putc (256 * gen.fBm (vec2d (x * 0.002, y * 0.002), 2), stdout);
639 root 1.4 // rain
640 root 1.7
641 root 1.13 float continent;
642 root 1.12
643     {
644 root 1.13 const float continent_scale = 0.00008;
645    
646     vec2d perturb (
647     vec_gen1.fBm (P * 0.0004),
648     vec_gen2.fBm (P * 0.0004)
649     );
650    
651     const float W = 1000 * continent_scale;
652     const float N = (25000 - 1) * continent_scale;
653    
654     static frac2d perturb_gen (4, 2, 0.5, 3);
655     float perturb_perturb = gen.fBm (P * 0.0004);
656     perturb_perturb = perturb_perturb * perturb_perturb * 0.004;
657    
658     vec2d P_perturb = P * continent_scale + perturb * min (W, gen.noise (P * perturb_perturb) * W * 8);
659    
660     static frac2d continent_gen (13, 2.13, 0.5);
661     continent = continent_gen.fBm (P_perturb) + 0.05f;
662 root 1.12
663     float border = W; // within n places of the border
664    
665 root 1.13 min_it (border, P_perturb [0]);
666     min_it (border, N - P_perturb [0]);
667     min_it (border, P_perturb [1]);
668     min_it (border, N - P_perturb [1]);
669 root 1.12
670     continent = blend (-1.f, continent, border, 0.f, W);
671     }
672    
673 root 1.13 vec3d c (1, 1, 1);
674     float v;
675    
676     if (continent < 0)
677     {
678     // ocean
679    
680     v = min (continent * 10, -0.2f);
681     c = vec3d (0, 0, 1);
682     }
683     else
684     {
685     // continent
686    
687     // big rivers
688     static frac2d river_gen (2);
689     float river1 = river_gen.fBm (P * 0.0004);// - (P[0] / 25000) * 0.18 + 0.06;
690     float river2 = river_gen.ridgedmultifractal (P * 0.04 + vec2d (3, 5), 0.8, 10) - (P[1] / 25000) * 0.1;
691    
692     if (river1 > 0.05f)
693     {
694     v = -0.1f;
695     c = vec3d (0.4, 0.4, 1);
696     }
697     else if (river1 > 0.08f && river2 > 0.1f)
698     {
699     v = -0.05f;
700     c = vec3d (0.4, 0.4, 1);
701     }
702     else
703     {
704     river1 -= 0.07f;
705    
706     //c = river1 > 0 ? vec3d (0.8, 0.8, 0) : vec3d (0.8, 0, 0);
707     c = blend0 (vec3d (0.8, 0, 0), vec3d (0.8, 0.8, 0), river1, 0.01f);;
708    
709     static frac2d mountain_gen (8, 2.14, 0.5);
710     float mountain = mountain_gen.ridgedmultifractal (P * 0.004);
711     v = blend0 (mountain * 3 - 1, continent, river1, 0.05f);
712     }
713    
714     v=abs(river1) < 0.1;
715     c=vec3d(1,1,1);
716     }
717 root 1.12
718 root 1.13 c *= v * 0.5 + 0.5;
719 root 1.12
720 root 1.13 putc (clamp<int> (255 * c[0], 0, 255), stdout);
721     putc (clamp<int> (255 * c[1], 0, 255), stdout);
722     putc (clamp<int> (255 * c[2], 0, 255), stdout);
723 root 1.9
724 root 1.7 //cells
725 root 1.8 //putc (127.49 * gen.billowfractal (vec2d (x * 0.01, y * 0.01), 9) + 128, stdout);
726 root 1.1 }
727     }
728 root 1.2 #else
729 root 1.13 int N = 128;
730 root 1.2
731     //printf ("P6 %d %d 255\n", N, N);
732     // pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm
733 root 1.13 frac3d gen3 (3);;
734 root 1.2 for (int z = 0; z < N; ++z)
735     {
736 root 1.4 if (!(z&7))fprintf (stderr, "z %d\n", z);//D
737 root 1.2 for (int y = 0; y < N; ++y)
738     for (int x = 0; x < N; ++x)
739     {
740 root 1.13 float v = gen3.ridgedmultifractal (vec3d (x * 0.001 + 0.2, y * 0.001 + 0.2, z * 0.01 + 0.2), 1.03, 2) * 2;
741 root 1.2
742 root 1.4 #if 0
743 root 1.2 if (z < 64)
744     v = v * (z * z) / (64 * 64);
745 root 1.4 #endif
746 root 1.2
747 root 1.13 if (v <= 0.9)
748 root 1.2 continue;
749    
750     float r[4];
751     int i[4];
752    
753     r[0] = x;
754     r[1] = y;
755     r[2] = z;
756     r[3] = v;
757    
758     memcpy (i, r, 16);
759    
760     i[0] = htonl (i[0]);
761     i[1] = htonl (i[1]);
762     i[2] = htonl (i[2]);
763     i[3] = htonl (i[3]);
764    
765     fwrite (i, 4*4, 1, stdout);
766     }
767     }
768     #endif
769 root 1.1
770     exit (0);
771     }