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/* * noise.c * * Copyright (C) 1989, 1991, Robert Skinner, Craig E. Kolb * All rights reserved. * * This software may be freely copied, modified, and redistributed * provided that this copyright notice is preserved on all copies. * * You may not distribute this software, in whole or in part, as part of * any commercial product without the express consent of the authors. * * There is no warranty or other guarantee of fitness of this software * for any purpose. It is provided solely "as is". * * $Id$ * * $Log$ */ #include "libcommon/common.h" #define MINX -1000000 #define MINY MINX #define MINZ MINX #define SCURVE(a) ((a)*(a)*(3.0-2.0*(a))) #define REALSCALE ( 2.0 / 65536.0 ) #define NREALSCALE ( 2.0 / 4096.0 ) #define Hash3d(a,b,c) hashTable[hashTable[hashTable[(a) & 0xfff] ^ ((b) & 0xfff)] ^ ((c) & 0xfff)] #define Hash(a,b,c) (xtab[(xtab[(xtab[(a) & 0xff] ^ (b)) & 0xff] ^ (c)) & 0xff] & 0xff) #define INCRSUM(m,s,x,y,z) ((s)*(RTable[m]*0.5 \ + RTable[m+1]*(x) \ + RTable[m+2]*(y) \ + RTable[m+3]*(z))) \ #define MAXSIZE 267 Float RTable[MAXSIZE]; static short *hashTable; static unsigned short xtab[256] = { 0x0000, 0xc0c1, 0xc181, 0x0140, 0xc301, 0x03c0, 0x0280, 0xc241, 0xc601, 0x06c0, 0x0780, 0xc741, 0x0500, 0xc5c1, 0xc481, 0x0440, 0xcc01, 0x0cc0, 0x0d80, 0xcd41, 0x0f00, 0xcfc1, 0xce81, 0x0e40, 0x0a00, 0xcac1, 0xcb81, 0x0b40, 0xc901, 0x09c0, 0x0880, 0xc841, 0xd801, 0x18c0, 0x1980, 0xd941, 0x1b00, 0xdbc1, 0xda81, 0x1a40, 0x1e00, 0xdec1, 0xdf81, 0x1f40, 0xdd01, 0x1dc0, 0x1c80, 0xdc41, 0x1400, 0xd4c1, 0xd581, 0x1540, 0xd701, 0x17c0, 0x1680, 0xd641, 0xd201, 0x12c0, 0x1380, 0xd341, 0x1100, 0xd1c1, 0xd081, 0x1040, 0xf001, 0x30c0, 0x3180, 0xf141, 0x3300, 0xf3c1, 0xf281, 0x3240, 0x3600, 0xf6c1, 0xf781, 0x3740, 0xf501, 0x35c0, 0x3480, 0xf441, 0x3c00, 0xfcc1, 0xfd81, 0x3d40, 0xff01, 0x3fc0, 0x3e80, 0xfe41, 0xfa01, 0x3ac0, 0x3b80, 0xfb41, 0x3900, 0xf9c1, 0xf881, 0x3840, 0x2800, 0xe8c1, 0xe981, 0x2940, 0xeb01, 0x2bc0, 0x2a80, 0xea41, 0xee01, 0x2ec0, 0x2f80, 0xef41, 0x2d00, 0xedc1, 0xec81, 0x2c40, 0xe401, 0x24c0, 0x2580, 0xe541, 0x2700, 0xe7c1, 0xe681, 0x2640, 0x2200, 0xe2c1, 0xe381, 0x2340, 0xe101, 0x21c0, 0x2080, 0xe041, 0xa001, 0x60c0, 0x6180, 0xa141, 0x6300, 0xa3c1, 0xa281, 0x6240, 0x6600, 0xa6c1, 0xa781, 0x6740, 0xa501, 0x65c0, 0x6480, 0xa441, 0x6c00, 0xacc1, 0xad81, 0x6d40, 0xaf01, 0x6fc0, 0x6e80, 0xae41, 0xaa01, 0x6ac0, 0x6b80, 0xab41, 0x6900, 0xa9c1, 0xa881, 0x6840, 0x7800, 0xb8c1, 0xb981, 0x7940, 0xbb01, 0x7bc0, 0x7a80, 0xba41, 0xbe01, 0x7ec0, 0x7f80, 0xbf41, 0x7d00, 0xbdc1, 0xbc81, 0x7c40, 0xb401, 0x74c0, 0x7580, 0xb541, 0x7700, 0xb7c1, 0xb681, 0x7640, 0x7200, 0xb2c1, 0xb381, 0x7340, 0xb101, 0x71c0, 0x7080, 0xb041, 0x5000, 0x90c1, 0x9181, 0x5140, 0x9301, 0x53c0, 0x5280, 0x9241, 0x9601, 0x56c0, 0x5780, 0x9741, 0x5500, 0x95c1, 0x9481, 0x5440, 0x9c01, 0x5cc0, 0x5d80, 0x9d41, 0x5f00, 0x9fc1, 0x9e81, 0x5e40, 0x5a00, 0x9ac1, 0x9b81, 0x5b40, 0x9901, 0x59c0, 0x5880, 0x9841, 0x8801, 0x48c0, 0x4980, 0x8941, 0x4b00, 0x8bc1, 0x8a81, 0x4a40, 0x4e00, 0x8ec1, 0x8f81, 0x4f40, 0x8d01, 0x4dc0, 0x4c80, 0x8c41, 0x4400, 0x84c1, 0x8581, 0x4540, 0x8701, 0x47c0, 0x4680, 0x8641, 0x8201, 0x42c0, 0x4380, 0x8341, 0x4100, 0x81c1, 0x8081, 0x4040 }; Float Chaos(), Marble(); void InitTextureTable() { int i, j, temp; seednrand(1); hashTable = (short *) Malloc(4096*sizeof(short int)); for (i = 0; i < 4096; i++) hashTable[i] = i; for (i = 4095; i > 0; i--) { j = (int)(nrand() * 4096); temp = hashTable[i]; hashTable[i] = hashTable[j]; hashTable[j] = temp; } } void NoiseInit() { int i; Vector rp; InitTextureTable(); for (i = 0; i < MAXSIZE; i++) { rp.x = rp.y = rp.z = (Float)i; RTable[i] = R(&rp)*REALSCALE - 1.0; } } static int R(v) Vector *v; { v->x *= .12345; v->y *= .12345; v->z *= .12345; return Crc16(v, sizeof(Vector)); } /* * Note that passing a Float to Crc16 and interpreting it as * an array of chars means that machines with different floating-point * representation schemes will evaluate Noise(point) differently. */ static int Crc16(buf, count) register char *buf; register int count; { register unsigned int crc = 0; while (count--) crc = (crc >> 8) ^ xtab[ (unsigned char) (crc ^ *buf++) ]; return crc; } /* * Robert Skinner's Perlin-style "Noise" function */ Float Noise3(point) Vector *point; { register int ix, iy, iz, jx, jy, jz; Float x, y, z; Float sx, sy, sz, tx, ty, tz; Float sum; short m; /* ensures the values are positive. */ x = point->x - MINX; y = point->y - MINY; z = point->z - MINZ; /* its equivalent integer lattice point. */ ix = (int)x; iy = (int)y; iz = (int)z; jx = ix+1; jy = iy + 1; jz = iz + 1; sx = SCURVE(x - ix); sy = SCURVE(y - iy); sz = SCURVE(z - iz); /* the complement values of sx,sy,sz */ tx = 1.0 - sx; ty = 1.0 - sy; tz = 1.0 - sz; /* * interpolate! */ m = Hash3d( ix, iy, iz ) & 0xFF; sum = INCRSUM(m,(tx*ty*tz),(x-ix),(y-iy),(z-iz)); m = Hash3d( jx, iy, iz ) & 0xFF; sum += INCRSUM(m,(sx*ty*tz),(x-jx),(y-iy),(z-iz)); m = Hash3d( ix, jy, iz ) & 0xFF; sum += INCRSUM(m,(tx*sy*tz),(x-ix),(y-jy),(z-iz)); m = Hash3d( jx, jy, iz ) & 0xFF; sum += INCRSUM(m,(sx*sy*tz),(x-jx),(y-jy),(z-iz)); m = Hash3d( ix, iy, jz ) & 0xFF; sum += INCRSUM(m,(tx*ty*sz),(x-ix),(y-iy),(z-jz)); m = Hash3d( jx, iy, jz ) & 0xFF; sum += INCRSUM(m,(sx*ty*sz),(x-jx),(y-iy),(z-jz)); m = Hash3d( ix, jy, jz ) & 0xFF; sum += INCRSUM(m,(tx*sy*sz),(x-ix),(y-jy),(z-jz)); m = Hash3d( jx, jy, jz ) & 0xFF; sum += INCRSUM(m,(sx*sy*sz),(x-jx),(y-jy),(z-jz)); return sum; } /* * Vector-valued "Noise" */ void DNoise3(point, result) Vector *point, *result; { register int ix, iy, iz, jx, jy, jz; Float x, y, z; Float px, py, pz, s; Float sx, sy, sz, tx, ty, tz; short m; /* ensures the values are positive. */ x = point->x - MINX; y = point->y - MINY; z = point->z - MINZ; /* its equivalent integer lattice point. */ ix = (int)x; iy = (int)y; iz = (int)z; jx = ix+1; jy = iy + 1; jz = iz + 1; sx = SCURVE(x - ix); sy = SCURVE(y - iy); sz = SCURVE(z - iz); /* the complement values of sx,sy,sz */ tx = 1.0 - sx; ty = 1.0 - sy; tz = 1.0 - sz; /* * interpolate! */ m = Hash3d( ix, iy, iz ) & 0xFF; px = x-ix; py = y-iy; pz = z-iz; s = tx*ty*tz; result->x = INCRSUM(m,s,px,py,pz); result->y = INCRSUM(m+4,s,px,py,pz); result->z = INCRSUM(m+8,s,px,py,pz); m = Hash3d( jx, iy, iz ) & 0xFF; px = x-jx; s = sx*ty*tz; result->x += INCRSUM(m,s,px,py,pz); result->y += INCRSUM(m+4,s,px,py,pz); result->z += INCRSUM(m+8,s,px,py,pz); m = Hash3d( jx, jy, iz ) & 0xFF; py = y-jy; s = sx*sy*tz; result->x += INCRSUM(m,s,px,py,pz); result->y += INCRSUM(m+4,s,px,py,pz); result->z += INCRSUM(m+8,s,px,py,pz); m = Hash3d( ix, jy, iz ) & 0xFF; px = x-ix; s = tx*sy*tz; result->x += INCRSUM(m,s,px,py,pz); result->y += INCRSUM(m+4,s,px,py,pz); result->z += INCRSUM(m+8,s,px,py,pz); m = Hash3d( ix, jy, jz ) & 0xFF; pz = z-jz; s = tx*sy*sz; result->x += INCRSUM(m,s,px,py,pz); result->y += INCRSUM(m+4,s,px,py,pz); result->z += INCRSUM(m+8,s,px,py,pz); m = Hash3d( jx, jy, jz ) & 0xFF; px = x-jx; s = sx*sy*sz; result->x += INCRSUM(m,s,px,py,pz); result->y += INCRSUM(m+4,s,px,py,pz); result->z += INCRSUM(m+8,s,px,py,pz); m = Hash3d( jx, iy, jz ) & 0xFF; py = y-iy; s = sx*ty*sz; result->x += INCRSUM(m,s,px,py,pz); result->y += INCRSUM(m+4,s,px,py,pz); result->z += INCRSUM(m+8,s,px,py,pz); m = Hash3d( ix, iy, jz ) & 0xFF; px = x-ix; s = tx*ty*sz; result->x += INCRSUM(m,s,px,py,pz); result->y += INCRSUM(m+4,s,px,py,pz); result->z += INCRSUM(m+8,s,px,py,pz); }
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