Initial revision
[blender.git] / source / blender / blenlib / intern / noise.c
1 /*
2  *
3  * $Id$
4  *
5  * ***** BEGIN GPL/BL DUAL LICENSE BLOCK *****
6  *
7  * This program is free software; you can redistribute it and/or
8  * modify it under the terms of the GNU General Public License
9  * as published by the Free Software Foundation; either version 2
10  * of the License, or (at your option) any later version. The Blender
11  * Foundation also sells licenses for use in proprietary software under
12  * the Blender License.  See http://www.blender.org/BL/ for information
13  * about this.
14  *
15  * This program is distributed in the hope that it will be useful,
16  * but WITHOUT ANY WARRANTY; without even the implied warranty of
17  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
18  * GNU General Public License for more details.
19  *
20  * You should have received a copy of the GNU General Public License
21  * along with this program; if not, write to the Free Software Foundation,
22  * Inc., 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.
23  *
24  * The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
25  * All rights reserved.
26  *
27  * The Original Code is: all of this file.
28  *
29  * Contributor(s): none yet.
30  *
31  * ***** END GPL/BL DUAL LICENSE BLOCK *****
32  *
33  */
34
35 #include <math.h>
36 #include "BLI_blenlib.h"
37
38 #ifdef _WIN32
39 #pragma warning (once : 4244) // "conversion from double to float"
40 #pragma warning (once : 4305) // "truncation from const double to float"
41 #endif
42
43 /* local */
44 float noise3_perlin(float vec[3]);
45 float turbulence_perlin(float *point, float lofreq, float hifreq);
46 float turbulencep(float noisesize, float x, float y, float z, int nr);
47
48
49 #define HASHVEC(x,y,z) hashvectf+3*hash[ (hash[ (hash[(z) & 255]+(y)) & 255]+(x)) & 255]
50
51
52 unsigned char hash[512]= {
53 0xA2,0xA0,0x19,0x3B,0xF8,0xEB,0xAA,0xEE,0xF3,0x1C,0x67,0x28,0x1D,0xED,0x0,0xDE,0x95,0x2E,0xDC,0x3F,0x3A,0x82,0x35,0x4D,0x6C,0xBA,0x36,0xD0,0xF6,0xC,0x79,0x32,0xD1,0x59,0xF4,0x8,0x8B,0x63,0x89,0x2F,0xB8,0xB4,0x97,0x83,0xF2,0x8F,0x18,0xC7,0x51,0x14,0x65,0x87,0x48,0x20,0x42,0xA8,0x80,0xB5,0x40,0x13,0xB2,0x22,0x7E,0x57,
54 0xBC,0x7F,0x6B,0x9D,0x86,0x4C,0xC8,0xDB,0x7C,0xD5,0x25,0x4E,0x5A,0x55,0x74,0x50,0xCD,0xB3,0x7A,0xBB,0xC3,0xCB,0xB6,0xE2,0xE4,0xEC,0xFD,0x98,0xB,0x96,0xD3,0x9E,0x5C,0xA1,0x64,0xF1,0x81,0x61,0xE1,0xC4,0x24,0x72,0x49,0x8C,0x90,0x4B,0x84,0x34,0x38,0xAB,0x78,0xCA,0x1F,0x1,0xD7,0x93,0x11,0xC1,0x58,0xA9,0x31,0xF9,0x44,0x6D,
55 0xBF,0x33,0x9C,0x5F,0x9,0x94,0xA3,0x85,0x6,0xC6,0x9A,0x1E,0x7B,0x46,0x15,0x30,0x27,0x2B,0x1B,0x71,0x3C,0x5B,0xD6,0x6F,0x62,0xAC,0x4F,0xC2,0xC0,0xE,0xB1,0x23,0xA7,0xDF,0x47,0xB0,0x77,0x69,0x5,0xE9,0xE6,0xE7,0x76,0x73,0xF,0xFE,0x6E,0x9B,0x56,0xEF,0x12,0xA5,0x37,0xFC,0xAE,0xD9,0x3,0x8E,0xDD,0x10,0xB9,0xCE,0xC9,0x8D,
56 0xDA,0x2A,0xBD,0x68,0x17,0x9F,0xBE,0xD4,0xA,0xCC,0xD2,0xE8,0x43,0x3D,0x70,0xB7,0x2,0x7D,0x99,0xD8,0xD,0x60,0x8A,0x4,0x2C,0x3E,0x92,0xE5,0xAF,0x53,0x7,0xE0,0x29,0xA6,0xC5,0xE3,0xF5,0xF7,0x4A,0x41,0x26,0x6A,0x16,0x5E,0x52,0x2D,0x21,0xAD,0xF0,0x91,0xFF,0xEA,0x54,0xFA,0x66,0x1A,0x45,0x39,0xCF,0x75,0xA4,0x88,0xFB,0x5D,
57 0xA2,0xA0,0x19,0x3B,0xF8,0xEB,0xAA,0xEE,0xF3,0x1C,0x67,0x28,0x1D,0xED,0x0,0xDE,0x95,0x2E,0xDC,0x3F,0x3A,0x82,0x35,0x4D,0x6C,0xBA,0x36,0xD0,0xF6,0xC,0x79,0x32,0xD1,0x59,0xF4,0x8,0x8B,0x63,0x89,0x2F,0xB8,0xB4,0x97,0x83,0xF2,0x8F,0x18,0xC7,0x51,0x14,0x65,0x87,0x48,0x20,0x42,0xA8,0x80,0xB5,0x40,0x13,0xB2,0x22,0x7E,0x57,
58 0xBC,0x7F,0x6B,0x9D,0x86,0x4C,0xC8,0xDB,0x7C,0xD5,0x25,0x4E,0x5A,0x55,0x74,0x50,0xCD,0xB3,0x7A,0xBB,0xC3,0xCB,0xB6,0xE2,0xE4,0xEC,0xFD,0x98,0xB,0x96,0xD3,0x9E,0x5C,0xA1,0x64,0xF1,0x81,0x61,0xE1,0xC4,0x24,0x72,0x49,0x8C,0x90,0x4B,0x84,0x34,0x38,0xAB,0x78,0xCA,0x1F,0x1,0xD7,0x93,0x11,0xC1,0x58,0xA9,0x31,0xF9,0x44,0x6D,
59 0xBF,0x33,0x9C,0x5F,0x9,0x94,0xA3,0x85,0x6,0xC6,0x9A,0x1E,0x7B,0x46,0x15,0x30,0x27,0x2B,0x1B,0x71,0x3C,0x5B,0xD6,0x6F,0x62,0xAC,0x4F,0xC2,0xC0,0xE,0xB1,0x23,0xA7,0xDF,0x47,0xB0,0x77,0x69,0x5,0xE9,0xE6,0xE7,0x76,0x73,0xF,0xFE,0x6E,0x9B,0x56,0xEF,0x12,0xA5,0x37,0xFC,0xAE,0xD9,0x3,0x8E,0xDD,0x10,0xB9,0xCE,0xC9,0x8D,
60 0xDA,0x2A,0xBD,0x68,0x17,0x9F,0xBE,0xD4,0xA,0xCC,0xD2,0xE8,0x43,0x3D,0x70,0xB7,0x2,0x7D,0x99,0xD8,0xD,0x60,0x8A,0x4,0x2C,0x3E,0x92,0xE5,0xAF,0x53,0x7,0xE0,0x29,0xA6,0xC5,0xE3,0xF5,0xF7,0x4A,0x41,0x26,0x6A,0x16,0x5E,0x52,0x2D,0x21,0xAD,0xF0,0x91,0xFF,0xEA,0x54,0xFA,0x66,0x1A,0x45,0x39,0xCF,0x75,0xA4,0x88,0xFB,0x5D,
61 };
62
63
64 float hashvectf[768]= {
65 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,
66 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,
67 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,
68 0.616486,-0.668488,-0.415924,-0.259979,-0.630005,0.73175,0.570953,-0.087952,0.816223,-0.458008,0.023254,0.888611,-0.196167,0.976563,-0.088287,-0.263885,-0.69812,-0.665527,0.437134,-0.892273,-0.112793,-0.621674,-0.230438,0.748566,0.232422,0.900574,-0.367249,0.22229,-0.796143,0.562744,-0.665497,-0.73764,
69 0.11377,0.670135,0.704803,0.232605,0.895599,0.429749,-0.114655,-0.11557,-0.474243,0.872742,0.621826,0.604004,-0.498444,-0.832214,0.012756,0.55426,-0.702484,0.705994,-0.089661,-0.692017,0.649292,0.315399,-0.175995,-0.977997,0.111877,0.096954,-0.04953,0.994019,0.635284,-0.606689,-0.477783,-0.261261,
70 -0.607422,-0.750153,0.983276,0.165436,0.075958,-0.29837,0.404083,-0.864655,-0.638672,0.507721,0.578156,0.388214,0.412079,0.824249,0.556183,-0.208832,0.804352,0.778442,0.562012,0.27951,-0.616577,0.781921,-0.091522,0.196289,0.051056,0.979187,-0.121216,0.207153,-0.970734,-0.173401,-0.384735,0.906555,
71 0.161499,-0.723236,-0.671387,0.178497,-0.006226,-0.983887,-0.126038,0.15799,0.97934,0.830475,-0.024811,0.556458,-0.510132,-0.76944,0.384247,0.81424,0.200104,-0.544891,-0.112549,-0.393311,-0.912445,0.56189,0.152222,-0.813049,0.198914,-0.254517,-0.946381,-0.41217,0.690979,-0.593811,-0.407257,0.324524,
72 0.853668,-0.690186,0.366119,-0.624115,-0.428345,0.844147,-0.322296,-0.21228,-0.297546,-0.930756,-0.273071,0.516113,0.811798,0.928314,0.371643,0.007233,0.785828,-0.479218,-0.390778,-0.704895,0.058929,0.706818,0.173248,0.203583,0.963562,0.422211,-0.904297,-0.062469,-0.363312,-0.182465,0.913605,0.254028,
73 -0.552307,-0.793945,-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,
74 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,
75 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,
76 -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,
77 -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,
78 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,
79 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,
80 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,
81 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,
82 -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,
83 -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,
84 -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,
85 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,
86 -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,
87 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,
88 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,
89 };
90
91
92 float BLI_hnoise(float noisesize, float x, float y, float z)
93 {
94         register float cn1, cn2, cn3, cn4, cn5, cn6, i, *h;
95         float ox, oy, oz, jx, jy, jz;
96         float n= 0.5;
97         int ix, iy, iz, b00, b01, b10, b11, b20, b21;
98
99         if(noisesize==0.0) return 0.0;
100         
101         x= (1.0+x)/noisesize;
102         y= (1.0+y)/noisesize;
103         z= (1.0+z)/noisesize;
104
105         ox= (x- (ix= (int)floor(x)) );
106         oy= (y- (iy= (int)floor(y)) );
107         oz= (z- (iz= (int)floor(z)) );
108
109         jx= ox-1;
110         jy= oy-1;
111         jz= oz-1;
112         
113         cn1=ox*ox; cn2=oy*oy; cn3=oz*oz;
114         cn4=jx*jx; cn5=jy*jy; cn6=jz*jz;
115
116         cn1= 1.0-3.0*cn1+2.0*cn1*ox;
117         cn2= 1.0-3.0*cn2+2.0*cn2*oy;
118         cn3= 1.0-3.0*cn3+2.0*cn3*oz;
119         cn4= 1.0-3.0*cn4-2.0*cn4*jx;
120         cn5= 1.0-3.0*cn5-2.0*cn5*jy;
121         cn6= 1.0-3.0*cn6-2.0*cn6*jz;
122
123         b00= hash[ hash[ix & 255]+(iy & 255)];
124         b10= hash[ hash[(ix+1) & 255]+(iy & 255)];
125         b01= hash[ hash[ix & 255]+((iy+1) & 255)];
126         b11= hash[ hash[(ix+1) & 255]+((iy+1) & 255)];
127
128         b20=iz & 255; b21= (iz+1) & 255;
129
130                 /* 0 */
131         i= (cn1*cn2*cn3);
132                 h=hashvectf+ 3*hash[b20+b00];
133                 n+= i*(h[0]*ox+h[1]*oy+h[2]*oz);
134                 /* 1 */
135         i= (cn1*cn2*cn6);
136                 h=hashvectf+ 3*hash[b21+b00];
137                 n+= i*(h[0]*ox+h[1]*oy+h[2]*jz);
138                 /* 2 */
139         i= (cn1*cn5*cn3);
140                 h=hashvectf+ 3*hash[b20+b01];
141                 n+= i*(h[0]*ox+h[1]*jy+h[2]*oz);
142                 /* 3 */
143         i= (cn1*cn5*cn6);
144                 h=hashvectf+ 3*hash[b21+b01];
145                 n+= i*(h[0]*ox+h[1]*jy+h[2]*jz);
146                 /* 4 */
147         i= cn4*cn2*cn3;
148                 h=hashvectf+ 3*hash[b20+b10];
149                 n+= i*(h[0]*jx+h[1]*oy+h[2]*oz);
150                 /* 5 */
151         i= cn4*cn2*cn6;
152                 h=hashvectf+ 3*hash[b21+b10];
153                 n+= i*(h[0]*jx+h[1]*oy+h[2]*jz);
154                 /* 6 */
155         i= cn4*cn5*cn3;
156                 h=hashvectf+ 3*hash[b20+b11];
157                 n+=  i*(h[0]*jx+h[1]*jy+h[2]*oz);
158                 /* 7 */
159         i= (cn4*cn5*cn6);
160                 h=hashvectf+ 3*hash[b21+b11];
161                 n+= i*(h[0]*jx+h[1]*jy+h[2]*jz);
162                 
163         if(n<0.0) n=0.0; else if(n>1.0) n=1.0 ;
164         return n;       
165 }
166
167
168
169
170 float BLI_turbulence(float noisesize, float x, float y, float z, int nr)
171 {
172         float s, d= 0.5, div=1.0;
173
174         s= BLI_hnoise(noisesize, x, y, z);
175         
176         while(nr>0) {
177         
178                 s+= d*BLI_hnoise(noisesize*d, x, y, z);
179                 div+= d;
180                 d*= 0.5;
181
182                 nr--;
183         }
184         return s/div;
185 }
186
187 float BLI_turbulence1(float noisesize, float x, float y, float z, int nr)
188 {
189         float s, d= 0.5, div=1.0;
190
191         s= fabs( (-1.0+2.0*BLI_hnoise(noisesize, x, y, z)));
192         
193         while(nr>0) {
194         
195                 s+= fabs(d* (-1.0+2.0*BLI_hnoise(noisesize*d, x, y, z)));
196                 div+= d;
197                 d*= 0.5;
198                 
199                 nr--;
200         }
201         return s/div;
202 }
203
204
205
206
207 /* ********************* VAN PERLIN HIMSELF: ******************** */
208
209
210 static char p[512+2]= {
211 0xA2,0xA0,0x19,0x3B,0xF8,0xEB,0xAA,0xEE,0xF3,0x1C,0x67,0x28,0x1D,0xED,0x0,0xDE,0x95,0x2E,0xDC,0x3F,0x3A,0x82,0x35,0x4D,0x6C,0xBA,0x36,0xD0,0xF6,0xC,0x79,0x32,0xD1,0x59,0xF4,0x8,0x8B,0x63,0x89,0x2F,0xB8,0xB4,0x97,0x83,0xF2,0x8F,0x18,0xC7,0x51,0x14,0x65,0x87,0x48,0x20,0x42,0xA8,0x80,0xB5,0x40,0x13,0xB2,0x22,0x7E,0x57,
212 0xBC,0x7F,0x6B,0x9D,0x86,0x4C,0xC8,0xDB,0x7C,0xD5,0x25,0x4E,0x5A,0x55,0x74,0x50,0xCD,0xB3,0x7A,0xBB,0xC3,0xCB,0xB6,0xE2,0xE4,0xEC,0xFD,0x98,0xB,0x96,0xD3,0x9E,0x5C,0xA1,0x64,0xF1,0x81,0x61,0xE1,0xC4,0x24,0x72,0x49,0x8C,0x90,0x4B,0x84,0x34,0x38,0xAB,0x78,0xCA,0x1F,0x1,0xD7,0x93,0x11,0xC1,0x58,0xA9,0x31,0xF9,0x44,0x6D,
213 0xBF,0x33,0x9C,0x5F,0x9,0x94,0xA3,0x85,0x6,0xC6,0x9A,0x1E,0x7B,0x46,0x15,0x30,0x27,0x2B,0x1B,0x71,0x3C,0x5B,0xD6,0x6F,0x62,0xAC,0x4F,0xC2,0xC0,0xE,0xB1,0x23,0xA7,0xDF,0x47,0xB0,0x77,0x69,0x5,0xE9,0xE6,0xE7,0x76,0x73,0xF,0xFE,0x6E,0x9B,0x56,0xEF,0x12,0xA5,0x37,0xFC,0xAE,0xD9,0x3,0x8E,0xDD,0x10,0xB9,0xCE,0xC9,0x8D,
214 0xDA,0x2A,0xBD,0x68,0x17,0x9F,0xBE,0xD4,0xA,0xCC,0xD2,0xE8,0x43,0x3D,0x70,0xB7,0x2,0x7D,0x99,0xD8,0xD,0x60,0x8A,0x4,0x2C,0x3E,0x92,0xE5,0xAF,0x53,0x7,0xE0,0x29,0xA6,0xC5,0xE3,0xF5,0xF7,0x4A,0x41,0x26,0x6A,0x16,0x5E,0x52,0x2D,0x21,0xAD,0xF0,0x91,0xFF,0xEA,0x54,0xFA,0x66,0x1A,0x45,0x39,0xCF,0x75,0xA4,0x88,0xFB,0x5D,
215 0xA2,0xA0,0x19,0x3B,0xF8,0xEB,0xAA,0xEE,0xF3,0x1C,0x67,0x28,0x1D,0xED,0x0,0xDE,0x95,0x2E,0xDC,0x3F,0x3A,0x82,0x35,0x4D,0x6C,0xBA,0x36,0xD0,0xF6,0xC,0x79,0x32,0xD1,0x59,0xF4,0x8,0x8B,0x63,0x89,0x2F,0xB8,0xB4,0x97,0x83,0xF2,0x8F,0x18,0xC7,0x51,0x14,0x65,0x87,0x48,0x20,0x42,0xA8,0x80,0xB5,0x40,0x13,0xB2,0x22,0x7E,0x57,
216 0xBC,0x7F,0x6B,0x9D,0x86,0x4C,0xC8,0xDB,0x7C,0xD5,0x25,0x4E,0x5A,0x55,0x74,0x50,0xCD,0xB3,0x7A,0xBB,0xC3,0xCB,0xB6,0xE2,0xE4,0xEC,0xFD,0x98,0xB,0x96,0xD3,0x9E,0x5C,0xA1,0x64,0xF1,0x81,0x61,0xE1,0xC4,0x24,0x72,0x49,0x8C,0x90,0x4B,0x84,0x34,0x38,0xAB,0x78,0xCA,0x1F,0x1,0xD7,0x93,0x11,0xC1,0x58,0xA9,0x31,0xF9,0x44,0x6D,
217 0xBF,0x33,0x9C,0x5F,0x9,0x94,0xA3,0x85,0x6,0xC6,0x9A,0x1E,0x7B,0x46,0x15,0x30,0x27,0x2B,0x1B,0x71,0x3C,0x5B,0xD6,0x6F,0x62,0xAC,0x4F,0xC2,0xC0,0xE,0xB1,0x23,0xA7,0xDF,0x47,0xB0,0x77,0x69,0x5,0xE9,0xE6,0xE7,0x76,0x73,0xF,0xFE,0x6E,0x9B,0x56,0xEF,0x12,0xA5,0x37,0xFC,0xAE,0xD9,0x3,0x8E,0xDD,0x10,0xB9,0xCE,0xC9,0x8D,
218 0xDA,0x2A,0xBD,0x68,0x17,0x9F,0xBE,0xD4,0xA,0xCC,0xD2,0xE8,0x43,0x3D,0x70,0xB7,0x2,0x7D,0x99,0xD8,0xD,0x60,0x8A,0x4,0x2C,0x3E,0x92,0xE5,0xAF,0x53,0x7,0xE0,0x29,0xA6,0xC5,0xE3,0xF5,0xF7,0x4A,0x41,0x26,0x6A,0x16,0x5E,0x52,0x2D,0x21,0xAD,0xF0,0x91,0xFF,0xEA,0x54,0xFA,0x66,0x1A,0x45,0x39,0xCF,0x75,0xA4,0x88,0xFB,0x5D,
219 0xA2,0xA0};
220
221
222 float g[512+2][3]= {
223 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,
224 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,
225 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,
226 0.616486,-0.668488,-0.415924,-0.259979,-0.630005,0.73175,0.570953,-0.087952,0.816223,-0.458008,0.023254,0.888611,-0.196167,0.976563,-0.088287,-0.263885,-0.69812,-0.665527,0.437134,-0.892273,-0.112793,-0.621674,-0.230438,0.748566,0.232422,0.900574,-0.367249,0.22229,-0.796143,0.562744,-0.665497,-0.73764,
227 0.11377,0.670135,0.704803,0.232605,0.895599,0.429749,-0.114655,-0.11557,-0.474243,0.872742,0.621826,0.604004,-0.498444,-0.832214,0.012756,0.55426,-0.702484,0.705994,-0.089661,-0.692017,0.649292,0.315399,-0.175995,-0.977997,0.111877,0.096954,-0.04953,0.994019,0.635284,-0.606689,-0.477783,-0.261261,
228 -0.607422,-0.750153,0.983276,0.165436,0.075958,-0.29837,0.404083,-0.864655,-0.638672,0.507721,0.578156,0.388214,0.412079,0.824249,0.556183,-0.208832,0.804352,0.778442,0.562012,0.27951,-0.616577,0.781921,-0.091522,0.196289,0.051056,0.979187,-0.121216,0.207153,-0.970734,-0.173401,-0.384735,0.906555,
229 0.161499,-0.723236,-0.671387,0.178497,-0.006226,-0.983887,-0.126038,0.15799,0.97934,0.830475,-0.024811,0.556458,-0.510132,-0.76944,0.384247,0.81424,0.200104,-0.544891,-0.112549,-0.393311,-0.912445,0.56189,0.152222,-0.813049,0.198914,-0.254517,-0.946381,-0.41217,0.690979,-0.593811,-0.407257,0.324524,
230 0.853668,-0.690186,0.366119,-0.624115,-0.428345,0.844147,-0.322296,-0.21228,-0.297546,-0.930756,-0.273071,0.516113,0.811798,0.928314,0.371643,0.007233,0.785828,-0.479218,-0.390778,-0.704895,0.058929,0.706818,0.173248,0.203583,0.963562,0.422211,-0.904297,-0.062469,-0.363312,-0.182465,0.913605,0.254028,
231 -0.552307,-0.793945,-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,
232 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,
233 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,
234 -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,
235 -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,
236 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,
237 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,
238 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,
239 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,
240 -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,
241 -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,
242 -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,
243 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,
244 -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,
245 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,
246 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,
247 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,
248 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,
249 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,
250 0.616486,-0.668488,-0.415924,-0.259979,-0.630005,0.73175,0.570953,-0.087952,0.816223,-0.458008,0.023254,0.888611,-0.196167,0.976563,-0.088287,-0.263885,-0.69812,-0.665527,0.437134,-0.892273,-0.112793,-0.621674,-0.230438,0.748566,0.232422,0.900574,-0.367249,0.22229,-0.796143,0.562744,-0.665497,-0.73764,
251 0.11377,0.670135,0.704803,0.232605,0.895599,0.429749,-0.114655,-0.11557,-0.474243,0.872742,0.621826,0.604004,-0.498444,-0.832214,0.012756,0.55426,-0.702484,0.705994,-0.089661,-0.692017,0.649292,0.315399,-0.175995,-0.977997,0.111877,0.096954,-0.04953,0.994019,0.635284,-0.606689,-0.477783,-0.261261,
252 -0.607422,-0.750153,0.983276,0.165436,0.075958,-0.29837,0.404083,-0.864655,-0.638672,0.507721,0.578156,0.388214,0.412079,0.824249,0.556183,-0.208832,0.804352,0.778442,0.562012,0.27951,-0.616577,0.781921,-0.091522,0.196289,0.051056,0.979187,-0.121216,0.207153,-0.970734,-0.173401,-0.384735,0.906555,
253 0.161499,-0.723236,-0.671387,0.178497,-0.006226,-0.983887,-0.126038,0.15799,0.97934,0.830475,-0.024811,0.556458,-0.510132,-0.76944,0.384247,0.81424,0.200104,-0.544891,-0.112549,-0.393311,-0.912445,0.56189,0.152222,-0.813049,0.198914,-0.254517,-0.946381,-0.41217,0.690979,-0.593811,-0.407257,0.324524,
254 0.853668,-0.690186,0.366119,-0.624115,-0.428345,0.844147,-0.322296,-0.21228,-0.297546,-0.930756,-0.273071,0.516113,0.811798,0.928314,0.371643,0.007233,0.785828,-0.479218,-0.390778,-0.704895,0.058929,0.706818,0.173248,0.203583,0.963562,0.422211,-0.904297,-0.062469,-0.363312,-0.182465,0.913605,0.254028,
255 -0.552307,-0.793945,-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,
256 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,
257 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,
258 -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,
259 -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,
260 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,
261 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,
262 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,
263 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,
264 -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,
265 -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,
266 -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,
267 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,
268 -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,
269 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,
270 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,
271 0.33783,0.715698,-0.611206,-0.944031,-0.326599,-0.045624};
272
273
274
275 #define DOT(a,b) (a[0] * b[0] + a[1] * b[1] + a[2] * b[2])
276
277 #define setup(i,b0,b1,r0,r1) \
278         t = vec[i] + 10000.; \
279         b0 = ((int)t) & 255; \
280         b1 = (b0+1) & 255; \
281         r0 = t - (int)t; \
282         r1 = r0 - 1.;
283
284
285 float noise3_perlin(float vec[3])
286 {
287         int bx0, bx1, by0, by1, bz0, bz1, b00, b10, b01, b11;
288         float rx0, rx1, ry0, ry1, rz0, rz1, *q, sx, sy, sz, a, b, c, d, t, u, v;
289         register int i, j;
290
291
292         setup(0, bx0,bx1, rx0,rx1);
293         setup(1, by0,by1, ry0,ry1);
294         setup(2, bz0,bz1, rz0,rz1);
295
296         i = p[ bx0 ];
297         j = p[ bx1 ];
298
299         b00 = p[ i + by0 ];
300         b10 = p[ j + by0 ];
301         b01 = p[ i + by1 ];
302         b11 = p[ j + by1 ];
303
304 #define at(rx,ry,rz) ( rx * q[0] + ry * q[1] + rz * q[2] )
305
306 #define surve(t) ( t * t * (3. - 2. * t) )
307
308 #define lerp(t, a, b) ( a + t * (b - a) )
309
310         sx = surve(rx0);
311         sy = surve(ry0);
312         sz = surve(rz0);
313
314
315         q = g[ b00 + bz0 ] ; 
316         u = at(rx0,ry0,rz0);
317         q = g[ b10 + bz0 ] ; 
318         v = at(rx1,ry0,rz0);
319         a = lerp(sx, u, v);
320
321         q = g[ b01 + bz0 ] ; 
322         u = at(rx0,ry1,rz0);
323         q = g[ b11 + bz0 ] ; 
324         v = at(rx1,ry1,rz0);
325         b = lerp(sx, u, v);
326
327         c = lerp(sy, a, b);          /* interpolate in y at lo x */
328
329         q = g[ b00 + bz1 ] ; 
330         u = at(rx0,ry0,rz1);
331         q = g[ b10 + bz1 ] ; 
332         v = at(rx1,ry0,rz1);
333         a = lerp(sx, u, v);
334
335         q = g[ b01 + bz1 ] ; 
336         u = at(rx0,ry1,rz1);
337         q = g[ b11 + bz1 ] ; 
338         v = at(rx1,ry1,rz1);
339         b = lerp(sx, u, v);
340
341         d = lerp(sy, a, b);          /* interpolate in y at hi x */
342
343         return 1.5 * lerp(sz, c, d); /* interpolate in z */
344 }
345
346
347 float turbulence_perlin(float *point, float lofreq, float hifreq)
348 {
349         float freq, t, p[3];
350
351         p[0] = point[0] + 123.456;
352         p[1] = point[1];
353         p[2] = point[2];
354
355         t = 0;
356         for (freq = lofreq ; freq < hifreq ; freq *= 2.) {
357                 t += fabs(noise3_perlin(p)) / freq;
358                 p[0] *= 2.;
359                 p[1] *= 2.;
360                 p[2] *= 2.;
361         }
362         return t - 0.3; /* readjust to make mean value = 0.0 */
363 }
364
365
366
367 /* *************** AANROEPEN ALS: *************** */
368
369 float BLI_hnoisep(float noisesize, float x, float y, float z)
370 {
371         float vec[3];
372
373         vec[0]= x/noisesize;
374         vec[1]= y/noisesize;
375         vec[2]= z/noisesize;
376
377         return noise3_perlin(vec);
378 }
379
380 float turbulencep(float noisesize, float x, float y, float z, int nr)
381 {
382         float vec[3];
383
384         vec[0]= x/noisesize;
385         vec[1]= y/noisesize;
386         vec[2]= z/noisesize;
387         nr++;
388         return turbulence_perlin(vec, 1.0, (float)(1<<nr));
389 }
390