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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: noise.c,v 4.0 91/07/17 14:43:38 kolb Exp Locker: kolb $
- *
- * $Log: noise.c,v $
- * Revision 4.0 91/07/17 14:43:38 kolb
- * Initial version.
- *
- */
- #include "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
- #define MAXSIZE 500
-
- Float RTable[MAXSIZE];
- static short *hashTable;
- static int R(), Crc16();
-
- 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 *) RayMalloc(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;
- }
- }
-
- static int R(Vector *v);
-
- 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 Crc16(char *buf,int count);
-
- 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);
- }
-