2005-07-28 08:34:03 +02:00
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/****************************************************************************
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2008-05-29 01:29:23 +02:00
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* VCGLib o o *
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* Visual and Computer Graphics Library o o *
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* _ O _ *
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* Copyright(C) 2004 \/)\/ *
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* Visual Computing Lab /\/| *
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* ISTI - Italian National Research Council | *
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* \ *
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* All rights reserved. *
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* *
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* This program is free software; you can redistribute it and/or modify *
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* it under the terms of the GNU General Public License as published by *
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* the Free Software Foundation; either version 2 of the License, or *
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* (at your 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 *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
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* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
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* for more details. *
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* *
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****************************************************************************/
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2005-07-28 08:34:03 +02:00
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#ifndef __VCGLIB_PERLIN_NOISE
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#define __VCGLIB_PERLIN_NOISE
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namespace vcg
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{
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namespace math {
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// based on the java reference implementation published
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// on http://mrl.nyu.edu/~perlin/noise/
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// updated on 13/7/2005
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class Perlin
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{
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public:
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/// 3D Perlin noise
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/// return a value in the 0..1 range with period 255
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static double Noise(double x, double y, double z) {
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int X = (int)floor(x) & 255, // FIND UNIT CUBE THAT
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Y = (int)floor(y) & 255, // CONTAINS POINT.
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Z = (int)floor(z) & 255;
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x -= floor(x); // FIND RELATIVE X,Y,Z
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y -= floor(y); // OF POINT IN CUBE.
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z -= floor(z);
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double u = fade(x), // COMPUTE FADE CURVES
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v = fade(y), // FOR EACH OF X,Y,Z.
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w = fade(z);
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int A = P(X )+Y, AA = P(A)+Z, AB = P(A+1)+Z, // HASH COORDINATES OF
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B = P(X+1)+Y, BA = P(B)+Z, BB = P(B+1)+Z; // THE 8 CUBE CORNERS,
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return lerp(w, lerp(v, lerp(u, grad(P(AA ), x , y , z ), // AND ADD
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grad(P(BA ), x-1, y , z )), // BLENDED
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lerp(u, grad(P(AB ), x , y-1, z ), // RESULTS
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grad(P(BB ), x-1, y-1, z ))),// FROM 8
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lerp(v, lerp(u, grad(P(AA+1), x , y , z-1 ), // CORNERS
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grad(P(BA+1), x-1, y , z-1 )), // OF CUBE
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lerp(u, grad(P(AB+1), x , y-1, z-1 ),
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grad(P(BB+1), x-1, y-1, z-1 ))));
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}
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static double fade(double t) { return t * t * t * (t * (t * 6 - 15) + 10); }
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static double lerp(double t, double a, double b) { return a + t * (b - a); }
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static double grad(int hash, double x, double y, double z) {
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int h = hash & 15; // CONVERT LO 4 BITS OF HASH CODE
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double u = h<8 ? x : y, // INTO 12 GRADIENT DIRECTIONS.
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v = h<4 ? y : h==12||h==14 ? x : z;
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return ((h&1) == 0 ? u : -u) + ((h&2) == 0 ? v : -v);
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}
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static int P(int i)
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{
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static int p[512]= { 151,160,137,91,90,15,
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131,13,201,95,96,53,194,233,7,225,140,36,103,30,69,142,8,99,37,240,21,10,23,
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190, 6,148,247,120,234,75,0,26,197,62,94,252,219,203,117,35,11,32,57,177,33,
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88,237,149,56,87,174,20,125,136,171,168, 68,175,74,165,71,134,139,48,27,166,
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77,146,158,231,83,111,229,122,60,211,133,230,220,105,92,41,55,46,245,40,244,
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102,143,54, 65,25,63,161, 1,216,80,73,209,76,132,187,208, 89,18,169,200,196,
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135,130,116,188,159,86,164,100,109,198,173,186, 3,64,52,217,226,250,124,123,
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5,202,38,147,118,126,255,82,85,212,207,206,59,227,47,16,58,17,182,189,28,42,
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223,183,170,213,119,248,152, 2,44,154,163, 70,221,153,101,155,167, 43,172,9,
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129,22,39,253, 19,98,108,110,79,113,224,232,178,185, 112,104,218,246,97,228,
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251,34,242,193,238,210,144,12,191,179,162,241, 81,51,145,235,249,14,239,107,
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49,192,214, 31,181,199,106,157,184, 84,204,176,115,121,50,45,127, 4,150,254,
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138,236,205,93,222,114,67,29,24,72,243,141,128,195,78,66,215,61,156,180,
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151,160,137,91,90,15,
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131,13,201,95,96,53,194,233,7,225,140,36,103,30,69,142,8,99,37,240,21,10,23,
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190, 6,148,247,120,234,75,0,26,197,62,94,252,219,203,117,35,11,32,57,177,33,
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88,237,149,56,87,174,20,125,136,171,168, 68,175,74,165,71,134,139,48,27,166,
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77,146,158,231,83,111,229,122,60,211,133,230,220,105,92,41,55,46,245,40,244,
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102,143,54, 65,25,63,161, 1,216,80,73,209,76,132,187,208, 89,18,169,200,196,
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135,130,116,188,159,86,164,100,109,198,173,186, 3,64,52,217,226,250,124,123,
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5,202,38,147,118,126,255,82,85,212,207,206,59,227,47,16,58,17,182,189,28,42,
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223,183,170,213,119,248,152, 2,44,154,163, 70,221,153,101,155,167, 43,172,9,
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129,22,39,253, 19,98,108,110,79,113,224,232,178,185, 112,104,218,246,97,228,
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251,34,242,193,238,210,144,12,191,179,162,241, 81,51,145,235,249,14,239,107,
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49,192,214, 31,181,199,106,157,184, 84,204,176,115,121,50,45,127, 4,150,254,
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138,236,205,93,222,114,67,29,24,72,243,141,128,195,78,66,215,61,156,180
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};
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return p[i];
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}
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};
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} // end namespace
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} // end namespace
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#endif
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