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/* |
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* This file is part of Deliantra, the Roguelike Realtime MMORPG. |
| 3 |
* |
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* Copyright (©) 2010,2011 Marc Alexander Lehmann / Robin Redeker / the Deliantra team |
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* |
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* 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. |
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* |
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* 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 |
| 13 |
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 14 |
* GNU General Public License for more details. |
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* |
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* 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 |
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* <http://www.gnu.org/licenses/>. |
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* |
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* The authors can be reached via e-mail to <support@deliantra.net> |
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*/ |
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|
| 23 |
#include "noise.h" |
| 24 |
|
| 25 |
///////////////////////////////////////////////////////////////////////////// |
| 26 |
|
| 27 |
// http://www-wales.ch.cam.ac.uk/~wales/CCD/Thomson/table.html, random permutation |
| 28 |
// used as gradient vectors for noise3d |
| 29 |
static const float charges[256][3] = { |
| 30 |
6.32096444e-01, -6.11406706e-01, 4.76062943e-01, 5.19172442e-01, 8.08229585e-01, -2.77893708e-01, |
| 31 |
-8.81072422e-01, -4.68301230e-01, 6.63727731e-02, -1.92122323e-01, 9.81341519e-01, -7.60505942e-03, |
| 32 |
-2.57478265e-01, 9.34157733e-01, -2.47091628e-01, 8.75501090e-01, -1.48087600e-01, -4.59965112e-01, |
| 33 |
-6.44086082e-01, 3.21868600e-01, 6.93940720e-01, -4.42053435e-01, -1.94962529e-01, -8.75544615e-01, |
| 34 |
-6.86776297e-01, 5.34610386e-01, -4.92473403e-01, -8.45541961e-01, -2.41708225e-01, 4.76062943e-01, |
| 35 |
1.87301993e-01, 3.04913657e-01, 9.33780287e-01, -8.21274139e-01, 4.76841979e-01, -3.13257905e-01, |
| 36 |
1.82393582e-01, 9.78673695e-01, -9.45006918e-02, -5.13996405e-01, 5.64894294e-01, -6.45524695e-01, |
| 37 |
-2.85987088e-01, -5.27238900e-01, -8.00144067e-01, 3.72992508e-01, 8.73495087e-01, 3.12862464e-01, |
| 38 |
3.07149790e-02, -1.36108589e-01, 9.90217674e-01, -9.42965190e-01, -1.13726556e-01, 3.12862464e-01, |
| 39 |
-7.63495246e-01, -8.89713729e-02, -6.39655457e-01, -4.93181655e-01, 3.84537051e-01, -7.80322441e-01, |
| 40 |
9.59053138e-01, -6.07981062e-03, -2.83160934e-01, 8.47504655e-02, 6.82510620e-01, -7.25945323e-01, |
| 41 |
2.72233465e-01, 7.06503091e-01, 6.53255175e-01, -6.69781595e-01, 6.75521448e-01, -3.08323512e-01, |
| 42 |
-9.83646297e-01, 1.64266522e-01, -7.38679386e-02, -1.33230986e-01, 4.14543427e-02, 9.90217674e-01, |
| 43 |
-9.68112521e-01, -2.24691711e-01, 1.10778074e-01, 2.60286884e-01, 5.44444585e-01, -7.97390012e-01, |
| 44 |
-9.59533574e-01, 4.55017306e-02, -2.77893708e-01, 6.34082129e-01, 7.69729420e-01, -7.38679387e-02, |
| 45 |
8.71590956e-01, -4.57032412e-01, -1.77343115e-01, -5.65998169e-01, -6.84162385e-01, -4.59965112e-01, |
| 46 |
1.31348131e-01, -9.34573215e-01, 3.30636620e-01, 9.37743461e-01, -2.44096148e-01, -2.47091628e-01, |
| 47 |
-2.32019785e-03, -9.49665258e-01, -3.13257905e-01, 5.58257270e-01, -6.92564967e-01, -4.56839782e-01, |
| 48 |
5.79609682e-01, 2.34839316e-01, -7.80322441e-01, 5.21842141e-02, 4.80310769e-01, -8.75544615e-01, |
| 49 |
5.48696303e-01, -4.14651366e-01, -7.25945323e-01, -5.13713359e-02, -3.67059868e-01, 9.28777712e-01, |
| 50 |
-8.31597157e-01, -5.26303703e-01, -1.77343115e-01, 7.60006362e-01, -6.75440951e-02, -6.46396260e-01, |
| 51 |
-6.35840799e-01, -7.53287574e-01, 1.68119925e-01, 6.00789426e-01, 3.96860609e-01, 6.93940720e-01, |
| 52 |
-3.99937982e-02, 9.83336115e-01, -1.77343115e-01, -4.74261299e-01, 8.33604286e-01, -2.83160934e-01, |
| 53 |
8.74744319e-01, 8.54351386e-02, -4.76993934e-01, 2.64896284e-01, -6.69736874e-01, 6.93745254e-01, |
| 54 |
-2.24976555e-01, -1.01696579e-01, -9.69042494e-01, 6.08580404e-01, -2.06649545e-01, 7.66110865e-01, |
| 55 |
-2.32214607e-01, -7.27581091e-01, -6.45524695e-01, -1.14732673e-01, 7.81826288e-01, -6.12849141e-01, |
| 56 |
-5.46171508e-01, 5.27060305e-01, 6.51079195e-01, 1.70411976e-01, -3.14665113e-01, 9.33780287e-01, |
| 57 |
-1.14827108e-01, 9.66494440e-01, 2.29571847e-01, 6.62214703e-01, -4.23664923e-01, 6.18045079e-01, |
| 58 |
3.43568839e-01, 1.39041052e-01, 9.28777712e-01, 2.65015805e-01, 5.00565290e-01, 8.24136526e-01, |
| 59 |
-4.26259648e-01, -7.20031380e-01, 5.47592480e-01, 7.57191364e-01, -5.91945814e-01, 2.76154652e-01, |
| 60 |
9.94315593e-01, 4.60290452e-02, 9.60095232e-02, 9.70286575e-01, -1.74010497e-01, 1.68119925e-01, |
| 61 |
1.34044431e-01, 9.51719864e-01, 2.76154652e-01, -3.21508279e-01, 6.91956864e-01, -6.46396261e-01, |
| 62 |
-9.15927355e-01, 3.90047734e-01, -9.45507570e-02, -3.57713970e-01, 9.75145600e-03, 9.33780287e-01, |
| 63 |
4.58799092e-01, -6.16720593e-01, -6.39655457e-01, -4.06287592e-01, 9.10837959e-01, -7.28327195e-02, |
| 64 |
7.69084079e-01, -2.21547533e-01, 5.99521785e-01, 4.32966564e-02, -7.18729210e-01, 6.93940720e-01, |
| 65 |
7.91803580e-01, -4.28020920e-01, 4.35712270e-01, 3.04696154e-01, 7.05691965e-01, -6.39655457e-01, |
| 66 |
6.46420856e-01, 4.00281039e-01, -6.49549973e-01, 8.31864266e-01, -3.69542234e-01, -4.14053595e-01, |
| 67 |
8.23594337e-01, 4.72823279e-01, -3.13257905e-01, -5.85665015e-01, -8.07274355e-01, -7.28327193e-02, |
| 68 |
-5.65385161e-02, -4.32158277e-01, -9.00023678e-01, 2.06686552e-01, -8.22754465e-01, 5.29486316e-01, |
| 69 |
8.65928642e-01, 3.96271834e-01, 3.05182275e-01, 1.87431189e-02, 4.56064322e-01, 8.89749419e-01, |
| 70 |
-5.94715001e-01, -2.32669312e-01, 7.69531714e-01, 5.99595825e-01, 1.59473663e-02, -8.00144067e-01, |
| 71 |
9.58599657e-02, 6.31372955e-01, 7.69531714e-01, 3.20650220e-01, 8.29747462e-01, -4.56839782e-01, |
| 72 |
-3.13608737e-01, 5.11291534e-01, -8.00144067e-01, -8.67906788e-01, 4.85339988e-01, 1.05749252e-01, |
| 73 |
3.22455909e-01, 9.12507983e-01, -2.51696976e-01, 5.15563696e-01, 7.07202113e-01, -4.83796700e-01, |
| 74 |
7.50491607e-01, -5.66571271e-01, -3.40234247e-01, -2.58299208e-01, -3.23551155e-01, -9.10272580e-01, |
| 75 |
3.49564167e-01, -9.33995942e-01, -7.38679386e-02, 4.02529304e-01, 1.67115347e-01, -9.00023678e-01, |
| 76 |
9.45927846e-01, -3.24287947e-01, -7.60505937e-03, -4.04334848e-01, -2.11800144e-01, 8.89749419e-01, |
| 77 |
3.41359400e-01, -4.97637347e-01, -7.97390012e-01, 7.43690080e-01, 5.81037425e-01, 3.30636620e-01, |
| 78 |
-8.15869544e-01, 2.32381428e-01, 5.29486316e-01, -2.73993936e-01, -4.03941386e-01, 8.72787878e-01, |
| 79 |
-1.14485896e-01, -9.85759380e-01, -1.23172337e-01, -6.69863977e-01, 3.59676363e-01, -6.49549972e-01, |
| 80 |
-7.96449717e-01, 5.92027384e-01, -1.23172337e-01, -6.19715090e-01, -4.90274553e-01, -6.12849141e-01, |
| 81 |
-8.65910917e-01, -3.66659161e-01, -3.40234247e-01, 8.46096973e-01, -5.28880485e-01, 6.63727731e-02, |
| 82 |
-8.91235794e-01, -3.59774050e-01, 2.76154652e-01, 4.20417732e-01, 3.46935142e-01, 8.38382334e-01, |
| 83 |
-6.38459078e-01, 7.23512413e-01, 2.62487703e-01, -7.53805524e-01, -6.57053571e-01, -7.60505938e-03, |
| 84 |
4.47561005e-01, 5.64275348e-01, 6.93745254e-01, 3.49754488e-02, 9.97181715e-01, 6.63727730e-02, |
| 85 |
-1.28749619e-01, -5.72643486e-01, 8.09631381e-01, -6.36032129e-01, -6.58092804e-01, 4.02960285e-01, |
| 86 |
-5.37020119e-01, 8.38088040e-01, 9.60095232e-02, -8.78907490e-01, -1.37182495e-01, -4.56839782e-01, |
| 87 |
-9.33228374e-01, 1.34065997e-01, 3.33333333e-01, 6.80411181e-01, 5.47277055e-01, -4.87368906e-01, |
| 88 |
-7.12457289e-01, 1.05461526e-01, 6.93745254e-01, 2.30586085e-01, 3.30051738e-01, -9.15366543e-01, |
| 89 |
2.34431211e-02, -7.59957402e-01, -6.49549973e-01, -6.98011937e-01, -3.61662294e-01, 6.18045079e-01, |
| 90 |
8.59171516e-01, 2.05105173e-01, 4.68781584e-01, 7.11862181e-01, 6.90797320e-01, 1.26693714e-01, |
| 91 |
-2.12826534e-01, 4.39256402e-01, 8.72787878e-01, -3.62298594e-01, -9.25543476e-01, -1.10040912e-01, |
| 92 |
-3.63383159e-01, -8.00268371e-01, -4.76993934e-01, -7.76145796e-01, 5.51780285e-01, 3.05182275e-01, |
| 93 |
-1.92676248e-01, 7.76820116e-01, 5.99521785e-01, -9.19690664e-01, 2.65359911e-01, -2.89401453e-01, |
| 94 |
-2.52247996e-02, 8.99732475e-01, 4.35712270e-01, 7.52676085e-01, 4.12472645e-01, 5.13171539e-01, |
| 95 |
-1.19598027e-01, -8.62070913e-01, -4.92473403e-01, 9.40191063e-01, -1.58443230e-02, 3.40278890e-01, |
| 96 |
-9.89903836e-01, 3.37653035e-02, 1.37660085e-01, 3.00994355e-01, -4.79793064e-01, 8.24136526e-01, |
| 97 |
4.35219899e-01, 8.98427220e-01, -5.84137724e-02, -9.54179119e-01, 2.71092073e-01, 1.26693714e-01, |
| 98 |
9.02457799e-02, -5.37560007e-01, 8.38382334e-01, -9.58991702e-02, 9.05186704e-01, -4.14053596e-01, |
| 99 |
-8.97828463e-02, -9.48052118e-01, 3.05182275e-01, -7.79595183e-01, -5.82690413e-01, 2.29571847e-01, |
| 100 |
-6.01646284e-01, -4.68072388e-02, -7.97390012e-01, -6.80265196e-01, -6.90061585e-01, -2.47091628e-01, |
| 101 |
6.89653756e-01, 6.63795523e-01, -2.89401453e-01, -7.35965096e-01, -5.35644470e-01, -4.14053595e-01, |
| 102 |
-4.83817118e-01, -8.06307183e-01, 3.40278890e-01, -2.51959468e-01, -8.46616946e-01, 4.68781584e-01, |
| 103 |
2.89467531e-01, 9.50755892e-01, 1.10778074e-01, -4.31548997e-01, 3.97822184e-01, 8.09631381e-01, |
| 104 |
1.03460411e-01, 8.29768433e-01, -5.48434400e-01, -7.70330748e-01, -3.25284873e-01, -5.48434400e-01, |
| 105 |
4.75732892e-01, -5.89012642e-01, 6.53255175e-01, -4.56373945e-01, 8.22151506e-01, 3.40278890e-01, |
| 106 |
-7.47966357e-01, -1.17490449e-01, 6.53255175e-01, -4.84791839e-01, -8.27524476e-01, -2.83160934e-01, |
| 107 |
-8.75038211e-01, 3.53535790e-01, 3.30636620e-01, 4.09353123e-01, -6.19180984e-02, -9.10272580e-01, |
| 108 |
-9.95670746e-01, -7.23021212e-02, -5.84137724e-02, -4.57295474e-01, -8.84117086e-01, 9.60095233e-02, |
| 109 |
-8.64280276e-02, -6.19376367e-01, -7.80322441e-01, 2.44164564e-02, 2.45683701e-01, -9.69042494e-01, |
| 110 |
8.94422292e-01, -3.83804027e-01, 2.29571847e-01, -8.62566691e-01, 4.52816156e-03, 5.05923116e-01, |
| 111 |
9.19909533e-01, 2.42287152e-01, -3.08323512e-01, -4.01126232e-01, 3.46675383e-02, -9.15366543e-01, |
| 112 |
9.51367455e-01, 2.99880902e-01, 7.05082324e-02, -5.61852646e-01, 1.73058019e-01, -8.08932956e-01, |
| 113 |
5.60450847e-01, -8.26125099e-01, -5.84137724e-02, -4.83253958e-01, -4.23721318e-01, 7.66110865e-01, |
| 114 |
-1.91262533e-02, -8.58072933e-01, 5.13171539e-01, 4.27361843e-01, -7.49268748e-01, 5.05923116e-01, |
| 115 |
8.06374324e-01, 3.27460527e-01, -4.92473403e-01, -3.49075205e-01, -5.94876216e-01, 7.24064077e-01, |
| 116 |
1.70540147e-01, -3.64719277e-01, -9.15366543e-01, -9.51483049e-01, -1.76998983e-01, -2.51696976e-01, |
| 117 |
-3.34445776e-01, 9.27298072e-01, 1.68119925e-01, -2.58769450e-02, -2.24111854e-01, -9.74219821e-01, |
| 118 |
3.50509628e-01, -8.75232478e-01, 3.33333333e-01, -5.11361160e-01, 7.14833233e-01, -4.76993934e-01, |
| 119 |
2.13445517e-01, 8.53114931e-01, 4.76062943e-01, -7.35388206e-01, 6.73967933e-01, 7.05082324e-02, |
| 120 |
-5.10663512e-01, 1.90624866e-01, 8.38382334e-01, 2.07025032e-01, 8.96458354e-02, -9.74219821e-01, |
| 121 |
2.30036908e-01, -9.29155434e-01, -2.89401453e-01, -4.38498083e-01, -6.24412769e-01, -6.46396260e-01, |
| 122 |
7.56359490e-01, -6.47294323e-01, -9.45006918e-02, -7.33549832e-01, 4.45600288e-01, 5.13171539e-01, |
| 123 |
5.69972682e-01, -7.59768531e-01, 3.12862464e-01, 1.36366351e-02, -9.94299320e-01, 1.05749252e-01, |
| 124 |
-1.20108971e-01, 6.12129242e-01, -7.81582770e-01, -6.20394866e-01, 7.76531524e-01, -1.10040912e-01, |
| 125 |
3.85591729e-01, -2.44264178e-01, 8.89749420e-01, -8.14161423e-01, 3.15614840e-01, -4.87368906e-01, |
| 126 |
1.15419311e-01, 9.33230432e-01, -3.40234248e-01, 5.90173960e-01, -2.02047201e-01, -7.81582770e-01, |
| 127 |
8.54270153e-01, 5.08959332e-01, 1.05749252e-01, 7.95754924e-01, 5.98192490e-01, -9.45507571e-02, |
| 128 |
3.54673147e-01, -8.00092315e-01, -4.83796700e-01, 9.91952607e-01, -1.03563604e-01, -7.28327194e-02, |
| 129 |
-6.21935152e-02, 2.58972647e-01, 9.63880249e-01, -3.09502921e-01, 8.32249985e-01, -4.59965112e-01, |
| 130 |
4.65710308e-01, -8.74164521e-01, 1.37660085e-01, 1.33750242e-01, -8.62891895e-01, -4.87368906e-01, |
| 131 |
-2.51909022e-01, 8.79866384e-01, 4.02960285e-01, -6.67371446e-11, -8.00239945e-11, -1.00000000e+00, |
| 132 |
-5.76407831e-01, -5.55272584e-01, 5.99521785e-01, -4.70064989e-01, -4.10082041e-01, -7.81582770e-01, |
| 133 |
8.36695291e-01, -9.13599363e-03, 5.47592480e-01, 5.24193529e-01, 8.40399218e-01, 1.37660085e-01, |
| 134 |
2.48438744e-01, -7.05895175e-01, -6.63317565e-01, 1.20172431e-01, -9.88240224e-01, -9.45507569e-02, |
| 135 |
4.30798964e-01, 4.00049655e-01, -8.08932956e-01, -2.50127938e-01, -9.17808600e-01, -3.08323512e-01, |
| 136 |
6.09182992e-01, 5.90373037e-01, 5.29486316e-01, -3.40640313e-01, 5.99746104e-01, 7.24064077e-01, |
| 137 |
4.40361132e-01, -8.53731316e-01, -2.77893708e-01, -1.83361859e-01, -7.36528553e-01, 6.51079195e-01, |
| 138 |
9.82693460e-01, 1.49011952e-01, -1.10040912e-01, 6.29027140e-01, -7.35509000e-01, -2.51696976e-01, |
| 139 |
-8.70236843e-01, 9.28902018e-02, -4.83796700e-01, 9.45809668e-01, 1.91165575e-01, 2.62487703e-01, |
| 140 |
2.00560098e-01, -1.43987122e-01, -9.69042494e-01, 1.02516007e-01, 9.46542469e-02, 9.90217674e-01, |
| 141 |
-6.07212048e-01, 6.41511773e-01, 4.68781584e-01, 2.42316938e-01, -9.61889393e-01, 1.26693714e-01, |
| 142 |
4.87103783e-01, 5.68101851e-01, -6.63317565e-01, -9.38753073e-01, -3.31379371e-01, -9.45006918e-02, |
| 143 |
3.89869221e-01, -2.85348240e-01, -8.75544615e-01, -6.33446768e-01, -2.67859254e-01, -7.25945323e-01, |
| 144 |
5.82718746e-01, 7.41166481e-01, 3.33333333e-01, 6.66870337e-01, -5.04483561e-01, -5.48434400e-01, |
| 145 |
7.34447763e-01, -2.91551734e-01, -6.12849141e-01, 9.10935613e-01, 3.93731996e-01, -1.23172337e-01, |
| 146 |
3.57972341e-02, 7.85327217e-01, 6.18045079e-01, -2.92197503e-01, 2.28018816e-01, 9.28777712e-01 |
| 147 |
-1.93180133e-01, -1.83347487e-01, 9.63880249e-01, -2.15979248e-01, -9.73848835e-01, 7.05082325e-02, |
| 148 |
8.87941151e-01, -2.21773580e-01, 4.02960285e-01, 6.89715518e-01, -4.86988739e-03, 7.24064077e-01, |
| 149 |
-4.10435643e-01, 7.29167374e-01, 5.47592480e-01, 7.46211012e-01, 1.62686797e-01, -6.45524695e-01, |
| 150 |
-1.81148087e-01, 1.34466019e-01, -9.74219821e-01, -7.66578780e-01, -4.71711555e-01, 4.35712270e-01, |
| 151 |
-5.66010160e-01, -2.07722258e-02, 8.24136526e-01, 7.29533368e-01, 2.09468249e-01, 6.51079195e-01, |
| 152 |
-3.45990788e-01, 2.65042929e-01, -9.00023678e-01, -7.35542526e-01, 1.37793324e-01, -6.63317565e-01, |
| 153 |
-1.25326447e-01, 6.30370863e-01, 7.66110865e-01, 1.31053682e-01, -5.73107674e-01, -8.08932955e-01, |
| 154 |
4.86820470e-01, -3.53150162e-02, 8.72787878e-01, 4.35204849e-01, 7.44740586e-01, 5.05923116e-01, |
| 155 |
4.98855035e-01, -3.98703643e-01, 7.69531714e-01, 2.55373649e-01, -7.56251592e-02, 9.63880249e-01, |
| 156 |
-1.51053916e-01, 3.85469253e-01, -9.10272580e-01, 6.78644990e-01, -7.26064181e-01, 1.10778074e-01, |
| 157 |
-3.07350590e-01, -9.14677987e-01, 2.62487703e-01, 5.60298616e-01, 1.74821302e-01, 8.09631381e-01, |
| 158 |
}; |
| 159 |
|
| 160 |
///////////////////////////////////////////////////////////////////////////// |
| 161 |
|
| 162 |
template<int N, typename T> |
| 163 |
template<class random_generator> |
| 164 |
void |
| 165 |
permutation<N,T>::seed (random_generator &rng) |
| 166 |
{ |
| 167 |
for (int i = 0; i < N; ++i) |
| 168 |
pmap[i] = i; |
| 169 |
|
| 170 |
// fisher-yates to randomly perturb |
| 171 |
for (int i = N; --i; ) |
| 172 |
::swap (pmap[i], pmap[rng (i + 1)]); |
| 173 |
} |
| 174 |
|
| 175 |
template class permutation<256, uint8_t>; |
| 176 |
|
| 177 |
///////////////////////////////////////////////////////////////////////////// |
| 178 |
|
| 179 |
static vec2d |
| 180 |
floor (vec2d v) |
| 181 |
{ |
| 182 |
return vec2d (std::floor (v[0]), std::floor (v[1])); |
| 183 |
} |
| 184 |
|
| 185 |
static vec3d |
| 186 |
floor (vec3d v) |
| 187 |
{ |
| 188 |
return vec3d (std::floor (v[0]), std::floor (v[1]), std::floor (v[2])); |
| 189 |
} |
| 190 |
|
| 191 |
noise_gen<vec2d>::noise_gen (uint32_t seed) |
| 192 |
{ |
| 193 |
seedable_rand_gen rng (seed); |
| 194 |
|
| 195 |
#if 0 |
| 196 |
for (int i = 0; i < 256; ++i) |
| 197 |
{ |
| 198 |
vec2d rv (rng () - 0.5f, rng () - 0.5f); |
| 199 |
|
| 200 |
// normalise |
| 201 |
float mag = 1.f / sqrtf (dot (rv, rv)); |
| 202 |
|
| 203 |
rv[0] *= mag; |
| 204 |
rv[1] *= mag; |
| 205 |
|
| 206 |
rvec[i] = rv; |
| 207 |
} |
| 208 |
#endif |
| 209 |
|
| 210 |
#if 1 |
| 211 |
float offset = rng () * M_PI; |
| 212 |
|
| 213 |
for (int i = 0; i < 256; ++i) |
| 214 |
{ |
| 215 |
float phi = i * (M_PI * 2 / 256) + offset; |
| 216 |
|
| 217 |
rvec[i][0] = sinf (phi); |
| 218 |
rvec[i][1] = -cosf (phi); |
| 219 |
} |
| 220 |
|
| 221 |
// fisher-yates to randomly perturb |
| 222 |
for (int i = 256; --i; ) |
| 223 |
::swap (rvec [i], rvec [rng (i + 1)]); |
| 224 |
#endif |
| 225 |
|
| 226 |
rvmap[0].seed (rng); |
| 227 |
rvmap[1].seed (rng); |
| 228 |
} |
| 229 |
|
| 230 |
vec2d::T_numtype |
| 231 |
noise_gen<vec2d>::operator() (vec2d P) |
| 232 |
{ |
| 233 |
vec2d I = floor (P); |
| 234 |
vec2d F = P - I; |
| 235 |
|
| 236 |
float v = 0; |
| 237 |
|
| 238 |
for (int j = -1; j <= 2; ++j) |
| 239 |
for (int i = -1; i <= 2; ++i) |
| 240 |
{ |
| 241 |
vec2d A = F - vec2d (i, j); |
| 242 |
|
| 243 |
float d = dot (A, A); |
| 244 |
|
| 245 |
if (d < 4) |
| 246 |
{ |
| 247 |
float t1 = 1 - d / 4; |
| 248 |
float t2 = t1 * t1; |
| 249 |
float t4 = t2 * t2; |
| 250 |
|
| 251 |
float p = (4 * t1 - 3) * t4; |
| 252 |
|
| 253 |
int h = rvmap [0](I[0] + i) ^ rvmap [1](I[1] + j); |
| 254 |
vec2d G = rvec [h & 0xff]; |
| 255 |
|
| 256 |
v += dot (A, G) * p; |
| 257 |
} |
| 258 |
} |
| 259 |
|
| 260 |
return clamp (v, -.9999999f, .9999999f); |
| 261 |
} |
| 262 |
|
| 263 |
///////////////////////////////////////////////////////////////////////////// |
| 264 |
|
| 265 |
noise_gen<vec3d>::noise_gen (uint32_t seed) |
| 266 |
{ |
| 267 |
seedable_rand_gen rng (seed); |
| 268 |
|
| 269 |
rvmap [0].seed (rng); |
| 270 |
rvmap [1].seed (rng); |
| 271 |
rvmap [2].seed (rng); |
| 272 |
} |
| 273 |
|
| 274 |
vec3d::T_numtype |
| 275 |
noise_gen<vec3d>::operator() (vec3d P) |
| 276 |
{ |
| 277 |
vec3d I = floor (P); |
| 278 |
vec3d F = P - I; |
| 279 |
|
| 280 |
float v = 0; |
| 281 |
|
| 282 |
for (int j = -1; j <= 2; ++j) |
| 283 |
for (int i = -1; i <= 2; ++i) |
| 284 |
for (int k = -1; k <= 2; ++k) |
| 285 |
{ |
| 286 |
vec3d A = F - vec3d (i, j, k); |
| 287 |
float d = dot (A, A); |
| 288 |
|
| 289 |
if (d < 4) |
| 290 |
{ |
| 291 |
float t1 = 1 - d / 4; |
| 292 |
float t2 = t1 * t1; |
| 293 |
float t4 = t2 * t2; |
| 294 |
|
| 295 |
// (4t⁵ - 3t⁴) |
| 296 |
float p = (4 * t1 - 3) * t4; |
| 297 |
|
| 298 |
int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
| 299 |
const float *G = charges[h & 0xff]; |
| 300 |
|
| 301 |
v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
| 302 |
} |
| 303 |
} |
| 304 |
|
| 305 |
return clamp (v * 2, -.9999999f, .9999999f); |
| 306 |
} |
| 307 |
|
| 308 |
vec3d::T_numtype |
| 309 |
noise_gen<vec3d>::operator() (vec3d P, vec3d N) |
| 310 |
{ |
| 311 |
vec3d I = floor (P); |
| 312 |
vec3d F = P - I; |
| 313 |
|
| 314 |
float v = 0; |
| 315 |
|
| 316 |
for (int j = -1; j <= 2; ++j) |
| 317 |
for (int i = -1; i <= 2; ++i) |
| 318 |
for (int k = -1; k <= 2; ++k) |
| 319 |
{ |
| 320 |
vec3d D = F - vec3d (i, j, k); |
| 321 |
float e = dot (D, N); |
| 322 |
float o = 1 - abs (e); |
| 323 |
|
| 324 |
if (o > 0) |
| 325 |
{ |
| 326 |
vec3d A = D - e * N; |
| 327 |
float d = dot (A, A); |
| 328 |
|
| 329 |
if (d < 4) |
| 330 |
{ |
| 331 |
float t1 = 1 - d / 4; |
| 332 |
float t2 = t1 * t1; |
| 333 |
float t4 = t2 * t2; |
| 334 |
|
| 335 |
float o2 = o * o; |
| 336 |
|
| 337 |
// (4t⁵ - 3t⁴) * (3o³ - 2o²) |
| 338 |
// alternative? ((o * 6 - 15) * o + 10) * o³ |
| 339 |
float p = (4 * t1 - 3) * t4 * (3 * o2 - 2 * o2 * o); |
| 340 |
|
| 341 |
int h = rvmap[0](I[0] + i) ^ rvmap[1](I[1] + j) ^ rvmap[2](I[2] + k); |
| 342 |
const float *G = charges[h & 0xff]; |
| 343 |
|
| 344 |
v += dot (A, vec3d (G[0], G[1], G[2])) * p; |
| 345 |
} |
| 346 |
} |
| 347 |
} |
| 348 |
|
| 349 |
return clamp (v, -.9999999f, .9999999f); |
| 350 |
} |
| 351 |
|
| 352 |
template class noise_gen<vec2d>; |
| 353 |
template class noise_gen<vec3d>; |
| 354 |
|
| 355 |
///////////////////////////////////////////////////////////////////////////// |
| 356 |
|
| 357 |
template<class vec_t> |
| 358 |
static vec_t |
| 359 |
ith_octave (vec_t P, int i) |
| 360 |
{ |
| 361 |
vec_t r = P; |
| 362 |
r[0] += i; |
| 363 |
return r; |
| 364 |
} |
| 365 |
|
| 366 |
template<class vec_t> |
| 367 |
frac_gen<vec_t>::frac_gen (value_t hurst_expo, value_t lacunarity) |
| 368 |
: h (hurst_expo), lac (lacunarity), noise_gen<vec_t> (0) |
| 369 |
{ |
| 370 |
value_t exsum = 0; |
| 371 |
|
| 372 |
for (int i = 0; i < MAX_OCTAVES; ++i) |
| 373 |
{ |
| 374 |
ex [i] = powf (lac, -h * i); |
| 375 |
exsum += ex [i]; |
| 376 |
fbm_mul [i] = 0.5f / (exsum * 0.75f); // .75f is a heuristic |
| 377 |
rot [i].set (0.4488f * i); |
| 378 |
} |
| 379 |
} |
| 380 |
|
| 381 |
template<class vec_t> |
| 382 |
typename frac_gen<vec_t>::value_t |
| 383 |
frac_gen<vec_t>::fBm (vec_t P, int octaves) |
| 384 |
{ |
| 385 |
value_t v = 0.f; |
| 386 |
|
| 387 |
for (int i = 0; i < octaves; ++i) |
| 388 |
{ |
| 389 |
rot [i](P); |
| 390 |
v += noise (ith_octave (P, i)) * ex [i]; |
| 391 |
P *= lac; |
| 392 |
} |
| 393 |
|
| 394 |
return clamp (v * fbm_mul [octaves - 1] + 0.5f, 0.f, .9999999f); |
| 395 |
} |
| 396 |
|
| 397 |
template<class vec_t> |
| 398 |
typename frac_gen<vec_t>::value_t |
| 399 |
frac_gen<vec_t>::turbulence (vec_t P, int octaves) |
| 400 |
{ |
| 401 |
value_t v = 0.f; |
| 402 |
|
| 403 |
for (int i = 0; i < octaves; ++i) |
| 404 |
{ |
| 405 |
rot [i](P); |
| 406 |
v += abs (noise (ith_octave (P, i))) * ex [i]; |
| 407 |
P *= lac; |
| 408 |
} |
| 409 |
|
| 410 |
return clamp (v * fbm_mul [octaves - 1] * 2.f, 0.f, .9999999f); |
| 411 |
} |
| 412 |
|
| 413 |
template<class vec_t> |
| 414 |
typename frac_gen<vec_t>::value_t |
| 415 |
frac_gen<vec_t>::multifractal (vec_t P, int octaves, value_t offset) |
| 416 |
{ |
| 417 |
value_t v = 1.f; |
| 418 |
|
| 419 |
for (int i = 0; i < octaves; ++i) |
| 420 |
{ |
| 421 |
rot [i](P); |
| 422 |
v *= noise (P) * ex [i] + offset; |
| 423 |
P *= lac; |
| 424 |
} |
| 425 |
|
| 426 |
return clamp (v * 0.5f, 0.f, .9999999f); |
| 427 |
} |
| 428 |
|
| 429 |
template<class vec_t> |
| 430 |
typename frac_gen<vec_t>::value_t |
| 431 |
frac_gen<vec_t>::heterofractal (vec_t P, int octaves, value_t offset) |
| 432 |
{ |
| 433 |
value_t v = noise (P) + offset; |
| 434 |
int i; |
| 435 |
|
| 436 |
for (i = 1; i < octaves; ++i) |
| 437 |
{ |
| 438 |
rot [i](P); |
| 439 |
P *= lac; |
| 440 |
v += v * (noise (P) * ex [i] + offset); |
| 441 |
} |
| 442 |
|
| 443 |
return v / powf (2., octaves); |
| 444 |
} |
| 445 |
|
| 446 |
template<class vec_t> |
| 447 |
typename frac_gen<vec_t>::value_t |
| 448 |
frac_gen<vec_t>::hybridfractal (vec_t P, int octaves, value_t offset, value_t gain) |
| 449 |
{ |
| 450 |
value_t v = (noise (P) + offset) * ex [0]; |
| 451 |
value_t weight = v; |
| 452 |
int i; |
| 453 |
|
| 454 |
for (i = 1; i < octaves; ++i) |
| 455 |
{ |
| 456 |
rot [i](P); |
| 457 |
P *= lac; |
| 458 |
|
| 459 |
min_it (weight, 1.f); |
| 460 |
|
| 461 |
value_t sig = (noise (P) + offset) * ex [i]; |
| 462 |
v += weight * sig; |
| 463 |
weight *= gain * sig; |
| 464 |
} |
| 465 |
|
| 466 |
return clamp (v * 0.5f + 0.5f, 0.f, .9999999f); |
| 467 |
} |
| 468 |
|
| 469 |
template<class vec_t> |
| 470 |
typename frac_gen<vec_t>::value_t |
| 471 |
frac_gen<vec_t>::ridgedmultifractal (vec_t P, int octaves, value_t offset, value_t gain) |
| 472 |
{ |
| 473 |
value_t sig = offset - abs (noise (P)); |
| 474 |
sig *= sig; |
| 475 |
value_t v = sig; |
| 476 |
|
| 477 |
for (int i = 1; i < octaves; ++i) |
| 478 |
{ |
| 479 |
rot [i](P); |
| 480 |
P *= lac; |
| 481 |
|
| 482 |
value_t w = clamp (sig * gain, 0.f, 1.f); |
| 483 |
|
| 484 |
sig = offset - abs (noise (P)); |
| 485 |
sig *= sig; |
| 486 |
sig *= w; |
| 487 |
|
| 488 |
v += sig * ex [i]; |
| 489 |
} |
| 490 |
|
| 491 |
return clamp (v * 0.25f, 0.f, .9999999f); |
| 492 |
} |
| 493 |
|
| 494 |
// http://www.gamasutra.com/view/feature/3098/a_realtime_procedural_universe_.php?page=2 |
| 495 |
template<class vec_t> |
| 496 |
typename frac_gen<vec_t>::value_t |
| 497 |
frac_gen<vec_t>::terrain (vec_t P, int octaves) |
| 498 |
{ |
| 499 |
value_t v = 0.f; |
| 500 |
|
| 501 |
for (int i = 0; i < octaves; ++i) |
| 502 |
{ |
| 503 |
rot [i](P); |
| 504 |
v += noise (P) * ex [i]; |
| 505 |
P *= lac; |
| 506 |
} |
| 507 |
|
| 508 |
v *= fbm_mul [octaves - 1]; |
| 509 |
|
| 510 |
return v <= 0.f ? - powf (-v, 0.7f) : powf (v, 1. + noise (P) * v); |
| 511 |
} |
| 512 |
|
| 513 |
template<class vec_t> |
| 514 |
typename frac_gen<vec_t>::value_t |
| 515 |
frac_gen<vec_t>::terrain2 (vec_t P, int octaves) |
| 516 |
{ |
| 517 |
value_t a = fBm (P, octaves); |
| 518 |
value_t b = ridgedmultifractal (P, octaves, 1, 8); |
| 519 |
value_t fade = fBm (P + vec_t(10.3), octaves); |
| 520 |
|
| 521 |
const value_t width = 0.05f; |
| 522 |
|
| 523 |
if (fade > 0.5f + width) |
| 524 |
return a; |
| 525 |
else if (fade < 0.5f - width) |
| 526 |
return b; |
| 527 |
|
| 528 |
fade = (fade - 0.5f + width) / (width * 2); |
| 529 |
|
| 530 |
// sigmoidal curve |
| 531 |
fade = fade * fade * 2 * (1.5f - fade); |
| 532 |
|
| 533 |
return a * fade + b * (1 - fade); |
| 534 |
} |
| 535 |
|
| 536 |
template class frac_gen<vec2d>; |
| 537 |
template class frac_gen<vec3d>; |
| 538 |
|
| 539 |
///////////////////////////////////////////////////////////////////////////// |
| 540 |
|
| 541 |
void noise_test (); |
| 542 |
void noise_test () |
| 543 |
{ |
| 544 |
frac_gen<vec2d> gen (0.5, 1.9); |
| 545 |
frac_gen<vec3d> gen3; |
| 546 |
|
| 547 |
#if 1 |
| 548 |
int N = 1024; |
| 549 |
|
| 550 |
printf ("P5 %d %d 255\n", N, N); |
| 551 |
// pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
| 552 |
for (int y = 0; y < N; ++y) |
| 553 |
{ |
| 554 |
if (!(y&63))fprintf (stderr, "y %d\n", y);//D |
| 555 |
for (int x = 0; x < N; ++x) |
| 556 |
{ |
| 557 |
//putc (127 * n.noise (x * 0.1, y * 0.1, 0, 0,0,1) + 128, stdout); |
| 558 |
//putc (256 * gen.terrain2 (x * 0.004, y * 0.004, 8), stdout); |
| 559 |
//putc (256 * gen.fBm (x * 0.01, y * 0.01, 3), stdout); |
| 560 |
putc (256 * gen.turbulence (vec2d (x * 0.004 - 1, y * 0.004 - 1), 8), stdout); |
| 561 |
//putc (256 * gen.heterofractal (x * 0.008, y * 0.008, 8, 0.9), stdout); |
| 562 |
|
| 563 |
// mountais or somesuch(?) |
| 564 |
//putc (256 * gen.hybridfractal (x * 0.01, y * 0.01, 8, -.4, -4), stdout); |
| 565 |
|
| 566 |
// temperature |
| 567 |
//putc (256 * gen.fBm (x * 0.002, y * 0.002, 2), stdout); |
| 568 |
// rain |
| 569 |
|
| 570 |
//cells |
| 571 |
//putc (256 * gen.ridgedmultifractal (vec2d (x * 0.01, y * 0.01), 3, 0.5 + gen.noise(vec2d(x*0.01,y*0.01)), 2), stdout); |
| 572 |
} |
| 573 |
} |
| 574 |
#else |
| 575 |
int N = 512; |
| 576 |
|
| 577 |
//printf ("P6 %d %d 255\n", N, N); |
| 578 |
// pmake&&server/deliantra-server >x&&convert -depth 8 -size 512xx512 gray:x x.ppm&& cv x.ppm |
| 579 |
for (int z = 0; z < N; ++z) |
| 580 |
{ |
| 581 |
if (!(z&7))fprintf (stderr, "z %d\n", z);//D |
| 582 |
for (int y = 0; y < N; ++y) |
| 583 |
for (int x = 0; x < N; ++x) |
| 584 |
{ |
| 585 |
float v = gen3.ridgedmultifractal (vec3d (x * 0.01 + 0.2, y * 0.01 + 0.2, z * 0.01 + 0.2), 3, 1.03, 2) * 2; |
| 586 |
|
| 587 |
#if 0 |
| 588 |
if (z < 64) |
| 589 |
v = v * (z * z) / (64 * 64); |
| 590 |
#endif |
| 591 |
|
| 592 |
if (v <= 0.9999) |
| 593 |
continue; |
| 594 |
|
| 595 |
float r[4]; |
| 596 |
int i[4]; |
| 597 |
|
| 598 |
r[0] = x; |
| 599 |
r[1] = y; |
| 600 |
r[2] = z; |
| 601 |
r[3] = v; |
| 602 |
|
| 603 |
memcpy (i, r, 16); |
| 604 |
|
| 605 |
i[0] = htonl (i[0]); |
| 606 |
i[1] = htonl (i[1]); |
| 607 |
i[2] = htonl (i[2]); |
| 608 |
i[3] = htonl (i[3]); |
| 609 |
|
| 610 |
fwrite (i, 4*4, 1, stdout); |
| 611 |
} |
| 612 |
} |
| 613 |
#endif |
| 614 |
|
| 615 |
exit (0); |
| 616 |
} |
