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noise.c
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C/C++ Source or Header
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1992-04-29
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292 lines
/*
* 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);
}