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419042af55ddb789f29771886e0bb090ad757cad
blender-archive/source/blender/blenlib/intern/noise.c

1879 lines
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/*
*
* $Id$
*
* ***** BEGIN GPL LICENSE BLOCK *****
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software Foundation,
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*
* The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
* All rights reserved.
*
* The Original Code is: all of this file.
*
* Contributor(s): none yet.
*
* ***** END GPL LICENSE BLOCK *****
*
*/
/** \file blender/blenlib/intern/noise.c
* \ingroup bli
*/
#ifdef _WIN32
#pragma warning (disable : 4244) // "conversion from double to float"
#pragma warning (disable : 4305) // "truncation from const double to float"
#endif
#include <math.h>
#include "BLI_noise.h"
/* local */
static float noise3_perlin(float vec[3]);
//static float turbulence_perlin(float *point, float lofreq, float hifreq);
//static float turbulencep(float noisesize, float x, float y, float z, int nr);
#define HASHVEC(x,y,z) hashvectf+3*hash[ (hash[ (hash[(z) & 255]+(y)) & 255]+(x)) & 255]
/* needed for voronoi */
#define HASHPNT(x,y,z) hashpntf+3*hash[ (hash[ (hash[(z) & 255]+(y)) & 255]+(x)) & 255]
static float hashpntf[768] = {0.536902, 0.020915, 0.501445, 0.216316, 0.517036, 0.822466, 0.965315,
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0.114246, 0.905043, 0.713870, 0.555261, 0.951333};
unsigned char hash[512]= {
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};
float hashvectf[768]= {
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};
/**************************/
/* IMPROVED PERLIN NOISE */
/**************************/
static float lerp(float t, float a, float b)
{
return (a+t*(b-a));
}
static float npfade(float t)
{
return (t*t*t*(t*(t*6.0f-15.0f)+10.0f));
}
static float grad(int hash, float x, float y, float z)
{
int h = hash & 15; // CONVERT LO 4 BITS OF HASH CODE
float u = h<8 ? x : y, // INTO 12 GRADIENT DIRECTIONS.
v = h<4 ? y : h==12||h==14 ? x : z;
return ((h&1) == 0 ? u : -u) + ((h&2) == 0 ? v : -v);
}
/* instead of adding another permutation array, just use hash table defined above */
static float newPerlin(float x, float y, float z)
{
int A, AA, AB, B, BA, BB;
float u=floor(x), v=floor(y), w=floor(z);
int X=((int)u) & 255, Y=((int)v) & 255, Z=((int)w) & 255; // FIND UNIT CUBE THAT CONTAINS POINT
x -= u; // FIND RELATIVE X,Y,Z
y -= v; // OF POINT IN CUBE.
z -= w;
u = npfade(x); // COMPUTE FADE CURVES
v = npfade(y); // FOR EACH OF X,Y,Z.
w = npfade(z);
A = hash[X ]+Y; AA = hash[A]+Z; AB = hash[A+1]+Z; // HASH COORDINATES OF
B = hash[X+1]+Y; BA = hash[B]+Z; BB = hash[B+1]+Z; // THE 8 CUBE CORNERS,
return lerp(w, lerp(v, lerp(u, grad(hash[AA ], x , y , z ), // AND ADD
grad(hash[BA ], x-1, y , z )), // BLENDED
lerp(u, grad(hash[AB ], x , y-1, z ), // RESULTS
grad(hash[BB ], x-1, y-1, z ))),// FROM 8
lerp(v, lerp(u, grad(hash[AA+1], x , y , z-1 ), // CORNERS
grad(hash[BA+1], x-1, y , z-1 )), // OF CUBE
lerp(u, grad(hash[AB+1], x , y-1, z-1 ),
grad(hash[BB+1], x-1, y-1, z-1 ))));
}
/* for use with BLI_gNoise()/BLI_gTurbulence(), returns unsigned improved perlin noise */
static float newPerlinU(float x, float y, float z)
{
return (0.5f+0.5f*newPerlin(x, y, z));
}
/**************************/
/* END OF IMPROVED PERLIN */
/**************************/
/* Was BLI_hnoise(), removed noisesize, so other functions can call it without scaling. */
static float orgBlenderNoise(float x, float y, float z)
{
register float cn1, cn2, cn3, cn4, cn5, cn6, i, *h;
float fx, fy, fz, ox, oy, oz, jx, jy, jz;
float n= 0.5;
int ix, iy, iz, b00, b01, b10, b11, b20, b21;
fx= floor(x);
fy= floor(y);
fz= floor(z);
ox= x- fx;
oy= y- fy;
oz= z- fz;
ix= (int)fx;
iy= (int)fy;
iz= (int)fz;
jx= ox-1;
jy= oy-1;
jz= oz-1;
cn1=ox*ox; cn2=oy*oy; cn3=oz*oz;
cn4=jx*jx; cn5=jy*jy; cn6=jz*jz;
cn1= 1.0f-3.0f*cn1+2.0f*cn1*ox;
cn2= 1.0f-3.0f*cn2+2.0f*cn2*oy;
cn3= 1.0f-3.0f*cn3+2.0f*cn3*oz;
cn4= 1.0f-3.0f*cn4-2.0f*cn4*jx;
cn5= 1.0f-3.0f*cn5-2.0f*cn5*jy;
cn6= 1.0f-3.0f*cn6-2.0f*cn6*jz;
b00= hash[ hash[ix & 255]+(iy & 255)];
b10= hash[ hash[(ix+1) & 255]+(iy & 255)];
b01= hash[ hash[ix & 255]+((iy+1) & 255)];
b11= hash[ hash[(ix+1) & 255]+((iy+1) & 255)];
b20=iz & 255; b21= (iz+1) & 255;
/* 0 */
i= (cn1*cn2*cn3);
h=hashvectf+ 3*hash[b20+b00];
n+= i*(h[0]*ox+h[1]*oy+h[2]*oz);
/* 1 */
i= (cn1*cn2*cn6);
h=hashvectf+ 3*hash[b21+b00];
n+= i*(h[0]*ox+h[1]*oy+h[2]*jz);
/* 2 */
i= (cn1*cn5*cn3);
h=hashvectf+ 3*hash[b20+b01];
n+= i*(h[0]*ox+h[1]*jy+h[2]*oz);
/* 3 */
i= (cn1*cn5*cn6);
h=hashvectf+ 3*hash[b21+b01];
n+= i*(h[0]*ox+h[1]*jy+h[2]*jz);
/* 4 */
i= cn4*cn2*cn3;
h=hashvectf+ 3*hash[b20+b10];
n+= i*(h[0]*jx+h[1]*oy+h[2]*oz);
/* 5 */
i= cn4*cn2*cn6;
h=hashvectf+ 3*hash[b21+b10];
n+= i*(h[0]*jx+h[1]*oy+h[2]*jz);
/* 6 */
i= cn4*cn5*cn3;
h=hashvectf+ 3*hash[b20+b11];
n+= i*(h[0]*jx+h[1]*jy+h[2]*oz);
/* 7 */
i= (cn4*cn5*cn6);
h=hashvectf+ 3*hash[b21+b11];
n+= i*(h[0]*jx+h[1]*jy+h[2]*jz);
if(n<0.0f) n=0.0f; else if(n>1.0f) n=1.0f;
return n;
}
/* as orgBlenderNoise(), returning signed noise */
static float orgBlenderNoiseS(float x, float y, float z)
{
return (2.0f*orgBlenderNoise(x, y, z)-1.0f);
}
/* separated from orgBlenderNoise above, with scaling */
float BLI_hnoise(float noisesize, float x, float y, float z)
{
if(noisesize==0.0f) return 0.0f;
x= (1.0f+x)/noisesize;
y= (1.0f+y)/noisesize;
z= (1.0f+z)/noisesize;
return orgBlenderNoise(x, y, z);
}
/* original turbulence functions */
float BLI_turbulence(float noisesize, float x, float y, float z, int nr)
{
float s, d= 0.5, div=1.0;
s= BLI_hnoise(noisesize, x, y, z);
while(nr>0) {
s+= d*BLI_hnoise(noisesize*d, x, y, z);
div+= d;
d*= 0.5f;
nr--;
}
return s/div;
}
float BLI_turbulence1(float noisesize, float x, float y, float z, int nr)
{
float s, d= 0.5, div=1.0;
s= fabsf( (-1.0f+2.0f*BLI_hnoise(noisesize, x, y, z)));
while(nr>0) {
s+= fabsf(d* (-1.0f+2.0f*BLI_hnoise(noisesize*d, x, y, z)));
div+= d;
d*= 0.5f;
nr--;
}
return s/div;
}
/* ********************* FROM PERLIN HIMSELF: ******************** */
static char p[512+2]= {
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0xA2,0xA0};
static float g[512+2][3]= {
{0.33783, 0.715698, -0.611206},
{-0.944031, -0.326599, -0.045624},
{-0.101074, -0.416443, -0.903503},
{0.799286, 0.49411, -0.341949},
{-0.854645, 0.518036, 0.033936},
{0.42514, -0.437866, -0.792114},
{-0.358948, 0.597046, 0.717377},
{-0.985413, 0.144714, 0.089294},
{-0.601776, -0.33728, -0.723907},
{-0.449921, 0.594513, 0.666382},
{0.208313, -0.10791, 0.972076},
{0.575317, 0.060425, 0.815643},
{0.293365, -0.875702, -0.383453},
{0.293762, 0.465759, 0.834686},
{-0.846008, -0.233398, -0.47934},
{-0.115814, 0.143036, -0.98291},
{0.204681, -0.949036, -0.239532},
{0.946716, -0.263947, 0.184326},
{-0.235596, 0.573822, 0.784332},
{0.203705, -0.372253, -0.905487},
{0.756989, -0.651031, 0.055298},
{0.497803, 0.814697, -0.297363},
{-0.16214, 0.063995, -0.98468},
{-0.329254, 0.834381, 0.441925},
{0.703827, -0.527039, -0.476227},
{0.956421, 0.266113, 0.119781},
{0.480133, 0.482849, 0.7323},
{-0.18631, 0.961212, -0.203125},
{-0.748474, -0.656921, -0.090393},
{-0.085052, -0.165253, 0.982544},
{-0.76947, 0.628174, -0.115234},
{0.383148, 0.537659, 0.751068},
{0.616486, -0.668488, -0.415924},
{-0.259979, -0.630005, 0.73175},
{0.570953, -0.087952, 0.816223},
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{0.670135, 0.704803, 0.232605},
{0.895599, 0.429749, -0.114655},
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{0.621826, 0.604004, -0.498444},
{-0.832214, 0.012756, 0.55426},
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{-0.692017, 0.649292, 0.315399},
{-0.175995, -0.977997, 0.111877},
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{0.556183, -0.208832, 0.804352},
{0.778442, 0.562012, 0.27951},
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{0.254028, -0.552307, -0.793945},
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{0.062469, 0.848389, -0.525635},
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{0.948975, -0.305084, 0.07962},
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{0.366577, 0.925934, -0.090637},
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{0.763458, 0.579742, 0.284546},
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{0.734955, 0.67804, -0.007446},
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{-0.681549, -0.702087, -0.206116},
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{-0.470978, -0.515106, 0.716095},
{-0.740326, 0.57135, 0.354095},
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{-0.507874, 0.753204, 0.417969},
{-0.503113, 0.038147, 0.863342},
{0.594025, 0.673553, -0.439758},
{-0.119873, -0.005524, -0.992737},
{0.098267, -0.213776, 0.971893},
{-0.615631, 0.643951, 0.454163},
{0.896851, -0.441071, 0.032166},
{-0.555023, 0.750763, -0.358093},
{0.398773, 0.304688, 0.864929},
{-0.722961, 0.303589, 0.620544},
{-0.63559, -0.621948, -0.457306},
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{-0.491638, 0.661041, -0.566772},
{-0.304199, -0.572083, -0.761688},
{0.908081, -0.398956, 0.127014},
{-0.523621, -0.549683, -0.650848},
{-0.932922, -0.19986, 0.299408},
{0.099426, 0.140869, 0.984985},
{-0.020325, -0.999756, -0.002319},
{0.952667, 0.280853, -0.11615},
{-0.971893, 0.082581, 0.220337},
{0.65921, 0.705292, -0.260651},
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{-0.555206, 0.429504, -0.712189},
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{0.374908, 0.68457, 0.625092},
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{0.275635, -0.086426, 0.957336},
{-0.197937, 0.468903, -0.860748},
{0.895599, 0.399384, 0.195801},
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{-0.28891, -0.765747, -0.574554},
{0.058319, 0.291382, 0.954803},
{0.946136, -0.303925, 0.111267},
{-0.078156, 0.443695, -0.892731},
{0.182098, 0.89389, 0.409515},
{-0.680298, -0.213318, 0.701141},
{0.062469, 0.848389, -0.525635},
{-0.72879, -0.641846, 0.238342},
{-0.88089, 0.427673, 0.202637},
{-0.532501, -0.21405, 0.818878},
{0.948975, -0.305084, 0.07962},
{0.925446, 0.374664, 0.055817},
{0.820923, 0.565491, 0.079102},
{0.25882, 0.099792, -0.960724},
{-0.294617, 0.910522, 0.289978},
{0.137115, 0.320038, -0.937408},
{-0.908386, 0.345276, -0.235718},
{-0.936218, 0.138763, 0.322754},
{0.366577, 0.925934, -0.090637},
{0.309296, -0.686829, -0.657684},
{0.66983, 0.024445, 0.742065},
{-0.917999, -0.059113, -0.392059},
{0.365509, 0.462158, -0.807922},
{0.083374, 0.996399, -0.014801},
{0.593842, 0.253143, -0.763672},
{0.974976, -0.165466, 0.148285},
{0.918976, 0.137299, 0.369537},
{0.294952, 0.694977, 0.655731},
{0.943085, 0.152618, -0.295319},
{0.58783, -0.598236, 0.544495},
{0.203796, 0.678223, 0.705994},
{-0.478821, -0.661011, 0.577667},
{0.719055, -0.1698, -0.673828},
{-0.132172, -0.965332, 0.225006},
{-0.981873, -0.14502, 0.121979},
{0.763458, 0.579742, 0.284546},
{-0.893188, 0.079681, 0.442474},
{-0.795776, -0.523804, 0.303802},
{0.734955, 0.67804, -0.007446},
{0.15506, 0.986267, -0.056183},
{0.258026, 0.571503, -0.778931},
{-0.681549, -0.702087, -0.206116},
{-0.96286, -0.177185, 0.203613},
{-0.470978, -0.515106, 0.716095},
{-0.740326, 0.57135, 0.354095},
{-0.56012, -0.824982, -0.074982},
{-0.507874, 0.753204, 0.417969},
{-0.503113, 0.038147, 0.863342},
{0.594025, 0.673553, -0.439758},
{-0.119873, -0.005524, -0.992737},
{0.098267, -0.213776, 0.971893},
{-0.615631, 0.643951, 0.454163},
{0.896851, -0.441071, 0.032166},
{-0.555023, 0.750763, -0.358093},
{0.398773, 0.304688, 0.864929},
{-0.722961, 0.303589, 0.620544},
{-0.63559, -0.621948, -0.457306},
{-0.293243, 0.072327, 0.953278},
{-0.491638, 0.661041, -0.566772},
{-0.304199, -0.572083, -0.761688},
{0.908081, -0.398956, 0.127014},
{-0.523621, -0.549683, -0.650848},
{-0.932922, -0.19986, 0.299408},
{0.099426, 0.140869, 0.984985},
{-0.020325, -0.999756, -0.002319},
{0.952667, 0.280853, -0.11615},
{-0.971893, 0.082581, 0.220337},
{0.65921, 0.705292, -0.260651},
{0.733063, -0.175537, 0.657043},
{-0.555206, 0.429504, -0.712189},
{0.400421, -0.89859, 0.179352},
{0.750885, -0.19696, 0.630341},
{0.785675, -0.569336, 0.241821},
{-0.058899, -0.464111, 0.883789},
{0.129608, -0.94519, 0.299622},
{-0.357819, 0.907654, 0.219238},
{-0.842133, -0.439117, -0.312927},
{-0.313477, 0.84433, 0.434479},
{-0.241211, 0.053253, 0.968994},
{0.063873, 0.823273, 0.563965},
{0.476288, 0.862152, -0.172516},
{0.620941, -0.298126, 0.724915},
{0.25238, -0.749359, -0.612122},
{-0.577545, 0.386566, 0.718994},
{-0.406342, -0.737976, 0.538696},
{0.04718, 0.556305, 0.82959},
{-0.802856, 0.587463, 0.101166},
{-0.707733, -0.705963, 0.026428},
{0.374908, 0.68457, 0.625092},
{0.472137, 0.208405, -0.856506},
{-0.703064, -0.581085, -0.409821},
{-0.417206, -0.736328, 0.532623},
{-0.447876, -0.20285, -0.870728},
{0.086945, -0.990417, 0.107086},
{0.183685, 0.018341, -0.982788},
{0.560638, -0.428864, 0.708282},
{0.296722, -0.952576, -0.0672},
{0.135773, 0.990265, 0.030243},
{-0.068787, 0.654724, 0.752686},
{0.762604, -0.551758, 0.337585},
{-0.819611, -0.407684, 0.402466},
{-0.727844, -0.55072, -0.408539},
{-0.855774, -0.480011, 0.19281},
{0.693176, -0.079285, 0.716339},
{0.226013, 0.650116, -0.725433},
{0.246704, 0.953369, -0.173553},
{-0.970398, -0.239227, -0.03244},
{0.136383, -0.394318, 0.908752},
{0.813232, 0.558167, 0.164368},
{0.40451, 0.549042, -0.731323},
{-0.380249, -0.566711, 0.730865},
{0.022156, 0.932739, 0.359741},
{0.00824, 0.996552, -0.082306},
{0.956635, -0.065338, -0.283722},
{-0.743561, 0.008209, 0.668579},
{-0.859589, -0.509674, 0.035767},
{-0.852234, 0.363678, -0.375977},
{-0.201965, -0.970795, -0.12915},
{0.313477, 0.947327, 0.06546},
{-0.254028, -0.528259, 0.81015},
{0.628052, 0.601105, 0.49411},
{-0.494385, 0.868378, 0.037933},
{0.275635, -0.086426, 0.957336},
{-0.197937, 0.468903, -0.860748},
{0.895599, 0.399384, 0.195801},
{0.560791, 0.825012, -0.069214},
{0.304199, -0.849487, 0.43103},
{0.096375, 0.93576, 0.339111},
{-0.051422, 0.408966, -0.911072},
{0.330444, 0.942841, -0.042389},
{-0.452362, -0.786407, 0.420563},
{0.134308, -0.933472, -0.332489},
{0.80191, -0.566711, -0.188934},
{-0.987946, -0.105988, 0.112518},
{-0.24408, 0.892242, -0.379791},
{-0.920502, 0.229095, -0.316376},
{0.7789, 0.325958, 0.535706},
{-0.912872, 0.185211, -0.36377},
{-0.184784, 0.565369, -0.803833},
{-0.018463, 0.119537, 0.992615},
{-0.259247, -0.935608, 0.239532},
{-0.82373, -0.449127, -0.345947},
{-0.433105, 0.659515, 0.614349},
{-0.822754, 0.378845, -0.423676},
{0.687195, -0.674835, -0.26889},
{-0.246582, -0.800842, 0.545715},
{-0.729187, -0.207794, 0.651978},
{0.653534, -0.610443, -0.447388},
{0.492584, -0.023346, 0.869934},
{0.609039, 0.009094, -0.79306},
{0.962494, -0.271088, -0.00885},
{0.2659, -0.004913, 0.963959},
{0.651245, 0.553619, -0.518951},
{0.280548, -0.84314, 0.458618},
{-0.175293, -0.983215, 0.049805},
{0.035339, -0.979919, 0.196045},
{-0.982941, 0.164307, -0.082245},
{0.233734, -0.97226, -0.005005},
{-0.747253, -0.611328, 0.260437},
{0.645599, 0.592773, 0.481384},
{0.117706, -0.949524, -0.29068},
{-0.535004, -0.791901, -0.294312},
{-0.627167, -0.214447, 0.748718},
{-0.047974, -0.813477, -0.57959},
{-0.175537, 0.477264, -0.860992},
{0.738556, -0.414246, -0.53183},
{0.562561, -0.704071, 0.433289},
{-0.754944, 0.64801, -0.100586},
{0.114716, 0.044525, -0.992371},
{0.966003, 0.244873, -0.082764},
{0.33783, 0.715698, -0.611206},
{-0.944031, -0.326599, -0.045624},
};
#define DOT(a,b) (a[0] * b[0] + a[1] * b[1] + a[2] * b[2])
#define setup(i,b0,b1,r0,r1) \
t = vec[i] + 10000.0f; \
b0 = ((int)t) & 255; \
b1 = (b0+1) & 255; \
r0 = t - floorf(t); \
r1 = r0 - 1.0f;
static float noise3_perlin(float vec[3])
{
int bx0, bx1, by0, by1, bz0, bz1, b00, b10, b01, b11;
float rx0, rx1, ry0, ry1, rz0, rz1, *q, sx, sy, sz, a, b, c, d, t, u, v;
register int i, j;
setup(0, bx0,bx1, rx0,rx1);
setup(1, by0,by1, ry0,ry1);
setup(2, bz0,bz1, rz0,rz1);
i = p[ bx0 ];
j = p[ bx1 ];
b00 = p[ i + by0 ];
b10 = p[ j + by0 ];
b01 = p[ i + by1 ];
b11 = p[ j + by1 ];
#define at(rx,ry,rz) ( rx * q[0] + ry * q[1] + rz * q[2] )
#define surve(t) ( t * t * (3.0f - 2.0f * t) )
/* lerp moved to improved perlin above */
sx = surve(rx0);
sy = surve(ry0);
sz = surve(rz0);
q = g[ b00 + bz0 ] ;
u = at(rx0,ry0,rz0);
q = g[ b10 + bz0 ] ;
v = at(rx1,ry0,rz0);
a = lerp(sx, u, v);
q = g[ b01 + bz0 ] ;
u = at(rx0,ry1,rz0);
q = g[ b11 + bz0 ] ;
v = at(rx1,ry1,rz0);
b = lerp(sx, u, v);
c = lerp(sy, a, b); /* interpolate in y at lo x */
q = g[ b00 + bz1 ] ;
u = at(rx0,ry0,rz1);
q = g[ b10 + bz1 ] ;
v = at(rx1,ry0,rz1);
a = lerp(sx, u, v);
q = g[ b01 + bz1 ] ;
u = at(rx0,ry1,rz1);
q = g[ b11 + bz1 ] ;
v = at(rx1,ry1,rz1);
b = lerp(sx, u, v);
d = lerp(sy, a, b); /* interpolate in y at hi x */
return 1.5f * lerp(sz, c, d); /* interpolate in z */
}
#if 0
static float turbulence_perlin(float *point, float lofreq, float hifreq)
{
float freq, t, p[3];
p[0] = point[0] + 123.456;
p[1] = point[1];
p[2] = point[2];
t = 0;
for (freq = lofreq ; freq < hifreq ; freq *= 2.) {
t += fabsf(noise3_perlin(p)) / freq;
p[0] *= 2.;
p[1] *= 2.;
p[2] *= 2.;
}
return t - 0.3; /* readjust to make mean value = 0.0 */
}
#endif
/* for use with BLI_gNoise/gTurbulence, returns signed noise */
static float orgPerlinNoise(float x, float y, float z)
{
float v[3];
v[0] = x;
v[1] = y;
v[2] = z;
return noise3_perlin(v);
}
/* for use with BLI_gNoise/gTurbulence, returns unsigned noise */
static float orgPerlinNoiseU(float x, float y, float z)
{
float v[3];
v[0] = x;
v[1] = y;
v[2] = z;
return (0.5f+0.5f*noise3_perlin(v));
}
/* *************** CALL AS: *************** */
float BLI_hnoisep(float noisesize, float x, float y, float z)
{
float vec[3];
vec[0]= x/noisesize;
vec[1]= y/noisesize;
vec[2]= z/noisesize;
return noise3_perlin(vec);
}
/*static float turbulencep(float noisesize, float x, float y, float z, int nr)
{
float vec[3];
vec[0]= x/noisesize;
vec[1]= y/noisesize;
vec[2]= z/noisesize;
nr++;
return turbulence_perlin(vec, 1.0, (float)(1<<nr));
}*/
/******************/
/* VORONOI/WORLEY */
/******************/
/* distance metrics for voronoi, e parameter only used in Minkovsky */
/* Camberra omitted, didn't seem useful */
/* distance squared */
static float dist_Squared(float x, float y, float z, float e) { (void)e; return (x*x + y*y + z*z); }
/* real distance */
static float dist_Real(float x, float y, float z, float e) { (void)e; return sqrtf(x*x + y*y + z*z); }
/* manhattan/taxicab/cityblock distance */
static float dist_Manhattan(float x, float y, float z, float e) { (void)e; return (fabsf(x) + fabsf(y) + fabsf(z)); }
/* Chebychev */
static float dist_Chebychev(float x, float y, float z, float e)
{
float t;
(void)e;
x = fabsf(x);
y = fabsf(y);
z = fabsf(z);
t = (x>y)?x:y;
return ((z>t)?z:t);
}
/* minkovsky preset exponent 0.5 */
static float dist_MinkovskyH(float x, float y, float z, float e)
{
float d = sqrtf(fabsf(x)) + sqrtf(fabsf(y)) + sqrtf(fabsf(z));
(void)e;
return (d*d);
}
/* minkovsky preset exponent 4 */
static float dist_Minkovsky4(float x, float y, float z, float e)
{
(void)e;
x *= x;
y *= y;
z *= z;
return sqrtf(sqrtf(x*x + y*y + z*z));
}
/* Minkovsky, general case, slow, maybe too slow to be useful */
static float dist_Minkovsky(float x, float y, float z, float e)
{
return powf(powf(fabsf(x), e) + powf(fabsf(y), e) + powf(fabsf(z), e), 1.0f/e);
}
/* Not 'pure' Worley, but the results are virtually the same.
Returns distances in da and point coords in pa */
void voronoi(float x, float y, float z, float* da, float* pa, float me, int dtype)
{
int xx, yy, zz, xi, yi, zi;
float xd, yd, zd, d, *p;
float (*distfunc)(float, float, float, float);
switch (dtype) {
case 1:
distfunc = dist_Squared;
break;
case 2:
distfunc = dist_Manhattan;
break;
case 3:
distfunc = dist_Chebychev;
break;
case 4:
distfunc = dist_MinkovskyH;
break;
case 5:
distfunc = dist_Minkovsky4;
break;
case 6:
distfunc = dist_Minkovsky;
break;
case 0:
default:
distfunc = dist_Real;
}
xi = (int)(floor(x));
yi = (int)(floor(y));
zi = (int)(floor(z));
da[0] = da[1] = da[2] = da[3] = 1e10f;
for (xx=xi-1;xx<=xi+1;xx++) {
for (yy=yi-1;yy<=yi+1;yy++) {
for (zz=zi-1;zz<=zi+1;zz++) {
p = HASHPNT(xx, yy, zz);
xd = x - (p[0] + xx);
yd = y - (p[1] + yy);
zd = z - (p[2] + zz);
d = distfunc(xd, yd, zd, me);
if (d<da[0]) {
da[3]=da[2]; da[2]=da[1]; da[1]=da[0]; da[0]=d;
pa[9]=pa[6]; pa[10]=pa[7]; pa[11]=pa[8];
pa[6]=pa[3]; pa[7]=pa[4]; pa[8]=pa[5];
pa[3]=pa[0]; pa[4]=pa[1]; pa[5]=pa[2];
pa[0]=p[0]+xx; pa[1]=p[1]+yy; pa[2]=p[2]+zz;
}
else if (d<da[1]) {
da[3]=da[2]; da[2]=da[1]; da[1]=d;
pa[9]=pa[6]; pa[10]=pa[7]; pa[11]=pa[8];
pa[6]=pa[3]; pa[7]=pa[4]; pa[8]=pa[5];
pa[3]=p[0]+xx; pa[4]=p[1]+yy; pa[5]=p[2]+zz;
}
else if (d<da[2]) {
da[3]=da[2]; da[2]=d;
pa[9]=pa[6]; pa[10]=pa[7]; pa[11]=pa[8];
pa[6]=p[0]+xx; pa[7]=p[1]+yy; pa[8]=p[2]+zz;
}
else if (d<da[3]) {
da[3]=d;
pa[9]=p[0]+xx; pa[10]=p[1]+yy; pa[11]=p[2]+zz;
}
}
}
}
}
/* returns different feature points for use in BLI_gNoise() */
static float voronoi_F1(float x, float y, float z)
{
float da[4], pa[12];
voronoi(x, y, z, da, pa, 1, 0);
return da[0];
}
static float voronoi_F2(float x, float y, float z)
{
float da[4], pa[12];
voronoi(x, y, z, da, pa, 1, 0);
return da[1];
}
static float voronoi_F3(float x, float y, float z)
{
float da[4], pa[12];
voronoi(x, y, z, da, pa, 1, 0);
return da[2];
}
static float voronoi_F4(float x, float y, float z)
{
float da[4], pa[12];
voronoi(x, y, z, da, pa, 1, 0);
return da[3];
}
static float voronoi_F1F2(float x, float y, float z)
{
float da[4], pa[12];
voronoi(x, y, z, da, pa, 1, 0);
return (da[1]-da[0]);
}
/* Crackle type pattern, just a scale/clamp of F2-F1 */
static float voronoi_Cr(float x, float y, float z)
{
float t = 10*voronoi_F1F2(x, y, z);
if (t>1.f) return 1.f;
return t;
}
/* Signed version of all 6 of the above, just 2x-1, not really correct though (range is potentially (0, sqrt(6)).
Used in the musgrave functions */
static float voronoi_F1S(float x, float y, float z)
{
float da[4], pa[12];
voronoi(x, y, z, da, pa, 1, 0);
return (2.0f*da[0]-1.0f);
}
static float voronoi_F2S(float x, float y, float z)
{
float da[4], pa[12];
voronoi(x, y, z, da, pa, 1, 0);
return (2.0f*da[1]-1.0f);
}
static float voronoi_F3S(float x, float y, float z)
{
float da[4], pa[12];
voronoi(x, y, z, da, pa, 1, 0);
return (2.0f*da[2]-1.0f);
}
static float voronoi_F4S(float x, float y, float z)
{
float da[4], pa[12];
voronoi(x, y, z, da, pa, 1, 0);
return (2.0f*da[3]-1.0f);
}
static float voronoi_F1F2S(float x, float y, float z)
{
float da[4], pa[12];
voronoi(x, y, z, da, pa, 1, 0);
return (2.0f*(da[1]-da[0])-1.0f);
}
/* Crackle type pattern, just a scale/clamp of F2-F1 */
static float voronoi_CrS(float x, float y, float z)
{
float t = 10*voronoi_F1F2(x, y, z);
if (t>1.f) return 1.f;
return (2.0f*t-1.0f);
}
/***************/
/* voronoi end */
/***************/
/*************/
/* CELLNOISE */
/*************/
/* returns unsigned cellnoise */
static float cellNoiseU(float x, float y, float z)
{
int xi = (int)(floor(x));
int yi = (int)(floor(y));
int zi = (int)(floor(z));
unsigned int n = xi + yi*1301 + zi*314159;
n ^= (n<<13);
return ((float)(n*(n*n*15731 + 789221) + 1376312589) / 4294967296.0f);
}
/* idem, signed */
float cellNoise(float x, float y, float z)
{
return (2.0f*cellNoiseU(x, y, z)-1.0f);
}
/* returns a vector/point/color in ca, using point hasharray directly */
void cellNoiseV(float x, float y, float z, float *ca)
{
int xi = (int)(floor(x));
int yi = (int)(floor(y));
int zi = (int)(floor(z));
float *p = HASHPNT(xi, yi, zi);
ca[0] = p[0];
ca[1] = p[1];
ca[2] = p[2];
}
/*****************/
/* end cellnoise */
/*****************/
/* newnoise: generic noise function for use with different noisebases */
float BLI_gNoise(float noisesize, float x, float y, float z, int hard, int noisebasis)
{
float (*noisefunc)(float, float, float);
switch (noisebasis) {
case 1:
noisefunc = orgPerlinNoiseU;
break;
case 2:
noisefunc = newPerlinU;
break;
case 3:
noisefunc = voronoi_F1;
break;
case 4:
noisefunc = voronoi_F2;
break;
case 5:
noisefunc = voronoi_F3;
break;
case 6:
noisefunc = voronoi_F4;
break;
case 7:
noisefunc = voronoi_F1F2;
break;
case 8:
noisefunc = voronoi_Cr;
break;
case 14:
noisefunc = cellNoiseU;
break;
case 0:
default: {
noisefunc = orgBlenderNoise;
/* add one to make return value same as BLI_hnoise */
x += 1;
y += 1;
z += 1;
}
}
if (noisesize!=0.0f) {
noisesize = 1.0f/noisesize;
x *= noisesize;
y *= noisesize;
z *= noisesize;
}
if (hard) return fabsf(2.0f*noisefunc(x, y, z)-1.0f);
return noisefunc(x, y, z);
}
/* newnoise: generic turbulence function for use with different noisebasis */
float BLI_gTurbulence(float noisesize, float x, float y, float z, int oct, int hard, int noisebasis)
{
float (*noisefunc)(float, float, float);
float sum, t, amp=1, fscale=1;
int i;
switch (noisebasis) {
case 1:
noisefunc = orgPerlinNoiseU;
break;
case 2:
noisefunc = newPerlinU;
break;
case 3:
noisefunc = voronoi_F1;
break;
case 4:
noisefunc = voronoi_F2;
break;
case 5:
noisefunc = voronoi_F3;
break;
case 6:
noisefunc = voronoi_F4;
break;
case 7:
noisefunc = voronoi_F1F2;
break;
case 8:
noisefunc = voronoi_Cr;
break;
case 14:
noisefunc = cellNoiseU;
break;
case 0:
default:
noisefunc = orgBlenderNoise;
x += 1;
y += 1;
z += 1;
}
if (noisesize!=0.0f) {
noisesize = 1.0f/noisesize;
x *= noisesize;
y *= noisesize;
z *= noisesize;
}
sum = 0;
for (i=0;i<=oct;i++, amp*=0.5f, fscale*=2.0f) {
t = noisefunc(fscale*x, fscale*y, fscale*z);
if (hard) t = fabsf(2.0f*t-1.0f);
sum += t * amp;
}
sum *= ((float)(1<<oct)/(float)((1<<(oct+1))-1));
return sum;
}
/*
* The following code is based on Ken Musgrave's explanations and sample
* source code in the book "Texturing and Modelling: A procedural approach"
*/
/*
* Procedural fBm evaluated at "point"; returns value stored in "value".
*
* Parameters:
* ``H'' is the fractal increment parameter
* ``lacunarity'' is the gap between successive frequencies
* ``octaves'' is the number of frequencies in the fBm
*/
float mg_fBm(float x, float y, float z, float H, float lacunarity, float octaves, int noisebasis)
{
float rmd, value=0.0, pwr=1.0, pwHL=powf(lacunarity, -H);
int i;
float (*noisefunc)(float, float, float);
switch (noisebasis) {
case 1:
noisefunc = orgPerlinNoise;
break;
case 2:
noisefunc = newPerlin;
break;
case 3:
noisefunc = voronoi_F1S;
break;
case 4:
noisefunc = voronoi_F2S;
break;
case 5:
noisefunc = voronoi_F3S;
break;
case 6:
noisefunc = voronoi_F4S;
break;
case 7:
noisefunc = voronoi_F1F2S;
break;
case 8:
noisefunc = voronoi_CrS;
break;
case 14:
noisefunc = cellNoise;
break;
case 0:
default: {
noisefunc = orgBlenderNoiseS;
}
}
for (i=0; i<(int)octaves; i++) {
value += noisefunc(x, y, z) * pwr;
pwr *= pwHL;
x *= lacunarity;
y *= lacunarity;
z *= lacunarity;
}
rmd = octaves - floorf(octaves);
if (rmd!=0.f) value += rmd * noisefunc(x, y, z) * pwr;
return value;
} /* fBm() */
/*
* Procedural multifractal evaluated at "point";
* returns value stored in "value".
*
* Parameters:
* ``H'' determines the highest fractal dimension
* ``lacunarity'' is gap between successive frequencies
* ``octaves'' is the number of frequencies in the fBm
* ``offset'' is the zero offset, which determines multifractality (NOT USED??)
*/
/* this one is in fact rather confusing,
* there seem to be errors in the original source code (in all three versions of proc.text&mod),
* I modified it to something that made sense to me, so it might be wrong... */
float mg_MultiFractal(float x, float y, float z, float H, float lacunarity, float octaves, int noisebasis)
{
float rmd, value=1.0, pwr=1.0, pwHL=powf(lacunarity, -H);
int i;
float (*noisefunc)(float, float, float);
switch (noisebasis) {
case 1:
noisefunc = orgPerlinNoise;
break;
case 2:
noisefunc = newPerlin;
break;
case 3:
noisefunc = voronoi_F1S;
break;
case 4:
noisefunc = voronoi_F2S;
break;
case 5:
noisefunc = voronoi_F3S;
break;
case 6:
noisefunc = voronoi_F4S;
break;
case 7:
noisefunc = voronoi_F1F2S;
break;
case 8:
noisefunc = voronoi_CrS;
break;
case 14:
noisefunc = cellNoise;
break;
case 0:
default: {
noisefunc = orgBlenderNoiseS;
}
}
for (i=0; i<(int)octaves; i++) {
value *= (pwr * noisefunc(x, y, z) + 1.0f);
pwr *= pwHL;
x *= lacunarity;
y *= lacunarity;
z *= lacunarity;
}
rmd = octaves - floorf(octaves);
if (rmd!=0.0f) value *= (rmd * noisefunc(x, y, z) * pwr + 1.0f);
return value;
} /* multifractal() */
/*
* Heterogeneous procedural terrain function: stats by altitude method.
* Evaluated at "point"; returns value stored in "value".
*
* Parameters:
* ``H'' determines the fractal dimension of the roughest areas
* ``lacunarity'' is the gap between successive frequencies
* ``octaves'' is the number of frequencies in the fBm
* ``offset'' raises the terrain from `sea level'
*/
float mg_HeteroTerrain(float x, float y, float z, float H, float lacunarity, float octaves, float offset, int noisebasis)
{
float value, increment, rmd;
int i;
float pwHL = powf(lacunarity, -H);
float pwr = pwHL; /* starts with i=1 instead of 0 */
float (*noisefunc)(float, float, float);
switch (noisebasis) {
case 1:
noisefunc = orgPerlinNoise;
break;
case 2:
noisefunc = newPerlin;
break;
case 3:
noisefunc = voronoi_F1S;
break;
case 4:
noisefunc = voronoi_F2S;
break;
case 5:
noisefunc = voronoi_F3S;
break;
case 6:
noisefunc = voronoi_F4S;
break;
case 7:
noisefunc = voronoi_F1F2S;
break;
case 8:
noisefunc = voronoi_CrS;
break;
case 14:
noisefunc = cellNoise;
break;
case 0:
default: {
noisefunc = orgBlenderNoiseS;
}
}
/* first unscaled octave of function; later octaves are scaled */
value = offset + noisefunc(x, y, z);
x *= lacunarity;
y *= lacunarity;
z *= lacunarity;
for (i=1; i<(int)octaves; i++) {
increment = (noisefunc(x, y, z) + offset) * pwr * value;
value += increment;
pwr *= pwHL;
x *= lacunarity;
y *= lacunarity;
z *= lacunarity;
}
rmd = octaves - floorf(octaves);
if (rmd!=0.0f) {
increment = (noisefunc(x, y, z) + offset) * pwr * value;
value += rmd * increment;
}
return value;
}
/* Hybrid additive/multiplicative multifractal terrain model.
*
* Some good parameter values to start with:
*
* H: 0.25
* offset: 0.7
*/
float mg_HybridMultiFractal(float x, float y, float z, float H, float lacunarity, float octaves, float offset, float gain, int noisebasis)
{
float result, signal, weight, rmd;
int i;
float pwHL = powf(lacunarity, -H);
float pwr = pwHL; /* starts with i=1 instead of 0 */
float (*noisefunc)(float, float, float);
switch (noisebasis) {
case 1:
noisefunc = orgPerlinNoise;
break;
case 2:
noisefunc = newPerlin;
break;
case 3:
noisefunc = voronoi_F1S;
break;
case 4:
noisefunc = voronoi_F2S;
break;
case 5:
noisefunc = voronoi_F3S;
break;
case 6:
noisefunc = voronoi_F4S;
break;
case 7:
noisefunc = voronoi_F1F2S;
break;
case 8:
noisefunc = voronoi_CrS;
break;
case 14:
noisefunc = cellNoise;
break;
case 0:
default: {
noisefunc = orgBlenderNoiseS;
}
}
result = noisefunc(x, y, z) + offset;
weight = gain * result;
x *= lacunarity;
y *= lacunarity;
z *= lacunarity;
for (i=1; (weight>0.001f) && (i<(int)octaves); i++) {
if (weight>1.0f) weight=1.0f;
signal = (noisefunc(x, y, z) + offset) * pwr;
pwr *= pwHL;
result += weight * signal;
weight *= gain * signal;
x *= lacunarity;
y *= lacunarity;
z *= lacunarity;
}
rmd = octaves - floorf(octaves);
if (rmd!=0.f) result += rmd * ((noisefunc(x, y, z) + offset) * pwr);
return result;
} /* HybridMultifractal() */
/* Ridged multifractal terrain model.
*
* Some good parameter values to start with:
*
* H: 1.0
* offset: 1.0
* gain: 2.0
*/
float mg_RidgedMultiFractal(float x, float y, float z, float H, float lacunarity, float octaves, float offset, float gain, int noisebasis)
{
float result, signal, weight;
int i;
float pwHL = powf(lacunarity, -H);
float pwr = pwHL; /* starts with i=1 instead of 0 */
float (*noisefunc)(float, float, float);
switch (noisebasis) {
case 1:
noisefunc = orgPerlinNoise;
break;
case 2:
noisefunc = newPerlin;
break;
case 3:
noisefunc = voronoi_F1S;
break;
case 4:
noisefunc = voronoi_F2S;
break;
case 5:
noisefunc = voronoi_F3S;
break;
case 6:
noisefunc = voronoi_F4S;
break;
case 7:
noisefunc = voronoi_F1F2S;
break;
case 8:
noisefunc = voronoi_CrS;
break;
case 14:
noisefunc = cellNoise;
break;
case 0:
default: {
noisefunc = orgBlenderNoiseS;
}
}
signal = offset - fabsf(noisefunc(x, y, z));
signal *= signal;
result = signal;
for( i=1; i<(int)octaves; i++ ) {
x *= lacunarity;
y *= lacunarity;
z *= lacunarity;
weight = signal * gain;
if (weight>1.0f) weight=1.0f; else if (weight<0.0f) weight=0.0f;
signal = offset - fabsf(noisefunc(x, y, z));
signal *= signal;
signal *= weight;
result += signal * pwr;
pwr *= pwHL;
}
return result;
} /* RidgedMultifractal() */
/* "Variable Lacunarity Noise"
* A distorted variety of Perlin noise.
*/
float mg_VLNoise(float x, float y, float z, float distortion, int nbas1, int nbas2)
{
float rv[3];
float (*noisefunc1)(float, float, float);
float (*noisefunc2)(float, float, float);
switch (nbas1) {
case 1:
noisefunc1 = orgPerlinNoise;
break;
case 2:
noisefunc1 = newPerlin;
break;
case 3:
noisefunc1 = voronoi_F1S;
break;
case 4:
noisefunc1 = voronoi_F2S;
break;
case 5:
noisefunc1 = voronoi_F3S;
break;
case 6:
noisefunc1 = voronoi_F4S;
break;
case 7:
noisefunc1 = voronoi_F1F2S;
break;
case 8:
noisefunc1 = voronoi_CrS;
break;
case 14:
noisefunc1 = cellNoise;
break;
case 0:
default: {
noisefunc1 = orgBlenderNoiseS;
}
}
switch (nbas2) {
case 1:
noisefunc2 = orgPerlinNoise;
break;
case 2:
noisefunc2 = newPerlin;
break;
case 3:
noisefunc2 = voronoi_F1S;
break;
case 4:
noisefunc2 = voronoi_F2S;
break;
case 5:
noisefunc2 = voronoi_F3S;
break;
case 6:
noisefunc2 = voronoi_F4S;
break;
case 7:
noisefunc2 = voronoi_F1F2S;
break;
case 8:
noisefunc2 = voronoi_CrS;
break;
case 14:
noisefunc2 = cellNoise;
break;
case 0:
default: {
noisefunc2 = orgBlenderNoiseS;
}
}
/* get a random vector and scale the randomization */
rv[0] = noisefunc1(x+13.5f, y+13.5f, z+13.5f) * distortion;
rv[1] = noisefunc1(x, y, z) * distortion;
rv[2] = noisefunc1(x-13.5f, y-13.5f, z-13.5f) * distortion;
return noisefunc2(x+rv[0], y+rv[1], z+rv[2]); /* distorted-domain noise */
}
/****************/
/* musgrave end */
/****************/
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