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/* Copyright (c) 1988 Regents of the University of California */ |
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#ifndef lint |
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static char SCCSid[] = "$SunId$ LBL"; |
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static const char RCSid[] = "$Id$"; |
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#endif |
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/* |
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* noise3.c - noise functions for random textures. |
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* |
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* Credit for the smooth algorithm goes to Ken Perlin. |
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* (ref. SIGGRAPH Vol 19, No 3, pp 287-96) |
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*/ |
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|
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/* ==================================================================== |
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* The Radiance Software License, Version 1.0 |
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* |
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* 4/15/86 |
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* 5/19/88 Added fractal noise function |
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* Copyright (c) 1990 - 2002 The Regents of the University of California, |
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* through Lawrence Berkeley National Laboratory. All rights reserved. |
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* |
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* Redistribution and use in source and binary forms, with or without |
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* modification, are permitted provided that the following conditions |
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* are met: |
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* |
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* 1. Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* |
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* 2. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in |
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* the documentation and/or other materials provided with the |
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* distribution. |
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* |
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* 3. The end-user documentation included with the redistribution, |
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* if any, must include the following acknowledgment: |
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* "This product includes Radiance software |
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* (http://radsite.lbl.gov/) |
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* developed by the Lawrence Berkeley National Laboratory |
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* (http://www.lbl.gov/)." |
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* Alternately, this acknowledgment may appear in the software itself, |
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* if and wherever such third-party acknowledgments normally appear. |
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* |
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* 4. The names "Radiance," "Lawrence Berkeley National Laboratory" |
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* and "The Regents of the University of California" must |
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* not be used to endorse or promote products derived from this |
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* software without prior written permission. For written |
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* permission, please contact [email protected]. |
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* |
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* 5. Products derived from this software may not be called "Radiance", |
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* nor may "Radiance" appear in their name, without prior written |
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* permission of Lawrence Berkeley National Laboratory. |
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* |
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* THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESSED OR IMPLIED |
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* WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES |
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE |
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* DISCLAIMED. IN NO EVENT SHALL Lawrence Berkeley National Laboratory OR |
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT |
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* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF |
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* USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND |
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* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, |
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* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT |
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* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
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* SUCH DAMAGE. |
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* ==================================================================== |
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* |
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* This software consists of voluntary contributions made by many |
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* individuals on behalf of Lawrence Berkeley National Laboratory. For more |
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* information on Lawrence Berkeley National Laboratory, please see |
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* <http://www.lbl.gov/>. |
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*/ |
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#include <math.h> |
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#define A 0 |
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#define B 1 |
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#define rand3c(x,y,z) frand(89*(x)+97*(y)+101*(z)) |
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#define rand3d(x,y,z) frand(103*(x)+107*(y)+109*(z)) |
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|
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#define hermite(p0,p1,r0,r1,t) ( p0*((2.0*t-3.0)*t*t+1.0) + \ |
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p1*(-2.0*t+3.0)*t*t + \ |
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r0*((t-2.0)*t+1.0)*t + \ |
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r1*(t-1.0)*t*t ) |
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#define hpoly1(t) ((2.0*t-3.0)*t*t+1.0) |
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#define hpoly2(t) (-2.0*t+3.0)*t*t |
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#define hpoly3(t) ((t-2.0)*t+1.0)*t |
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#define hpoly4(t) (t-1.0)*t*t |
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double *noise3(), noise3coef(), argument(), frand(); |
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#define hermite(p0,p1,r0,r1,t) ( p0*hpoly1(t) + \ |
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p1*hpoly2(t) + \ |
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r0*hpoly3(t) + \ |
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r1*hpoly4(t) ) |
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static char noise_name[4][8] = {"noise3x", "noise3y", "noise3z", "noise3"}; |
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static char fnoise_name[] = "fnoise3"; |
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static char hermite_name[] = "hermite"; |
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|
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double *noise3(), fnoise3(), argument(), frand(); |
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static interpolate(); |
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|
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static long xlim[3][2]; |
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static double xarg[3]; |
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#define EPSILON .0001 /* error allowed in fractal */ |
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#define EPSILON .001 /* error allowed in fractal */ |
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#define frand3(x,y,z) frand(17*(x)+23*(y)+29*(z)) |
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double fnoise3(); |
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double |
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l_noise3() /* compute 3-dimensional noise function */ |
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static double |
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l_noise3(nam) /* compute a noise function */ |
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register char *nam; |
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{ |
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return(noise3coef(D)); |
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register int i; |
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double x[3]; |
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/* get point */ |
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x[0] = argument(1); |
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x[1] = argument(2); |
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x[2] = argument(3); |
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/* make appropriate call */ |
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if (nam == fnoise_name) |
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return(fnoise3(x)); |
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i = 4; |
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while (i--) |
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if (nam == noise_name[i]) |
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return(noise3(x)[i]); |
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eputs(nam); |
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eputs(": called l_noise3!\n"); |
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quit(1); |
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} |
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double |
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l_noise3a() /* compute x slope of noise function */ |
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l_hermite() /* library call for hermite interpolation */ |
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{ |
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return(noise3coef(A)); |
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double t; |
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t = argument(5); |
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return( hermite(argument(1), argument(2), |
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argument(3), argument(4), t) ); |
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} |
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double |
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l_noise3b() /* compute y slope of noise function */ |
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setnoisefuncs() /* add noise functions to library */ |
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{ |
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return(noise3coef(B)); |
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} |
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register int i; |
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double |
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l_noise3c() /* compute z slope of noise function */ |
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{ |
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return(noise3coef(C)); |
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funset(hermite_name, 5, ':', l_hermite); |
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funset(fnoise_name, 3, ':', l_noise3); |
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i = 4; |
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while (i--) |
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funset(noise_name[i], 3, ':', l_noise3); |
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} |
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double |
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l_fnoise3() /* compute fractal noise function */ |
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{ |
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double x[3]; |
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|
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x[0] = argument(1); |
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x[1] = argument(2); |
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x[2] = argument(3); |
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return(fnoise3(x)); |
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} |
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static double |
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noise3coef(coef) /* return coefficient of noise function */ |
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int coef; |
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{ |
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double x[3]; |
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|
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x[0] = argument(1); |
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x[1] = argument(2); |
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x[2] = argument(3); |
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return(noise3(x)[coef]); |
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} |
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double * |
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noise3(xnew) /* compute the noise function */ |
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register double xnew[3]; |
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{ |
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extern double floor(); |
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static double x[3] = {-100000.0, -100000.0, -100000.0}; |
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static double f[4]; |
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double f[4]; |
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register int i, n; |
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{ |
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double f0[4], f1[4]; |
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double f0[4], f1[4], hp1, hp2; |
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if (n == 0) { |
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f[A] = rand3a(xlim[0][i&1],xlim[1][i>>1&1],xlim[2][i>>2]); |
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n--; |
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interpolate(f0, i, n); |
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interpolate(f1, i | 1<<n, n); |
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f[A] = (1.0-xarg[n])*f0[A] + xarg[n]*f1[A]; |
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f[B] = (1.0-xarg[n])*f0[B] + xarg[n]*f1[B]; |
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f[C] = (1.0-xarg[n])*f0[C] + xarg[n]*f1[C]; |
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f[D] = hermite(f0[D], f1[D], f0[n], f1[n], xarg[n]); |
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hp1 = hpoly1(xarg[n]); hp2 = hpoly2(xarg[n]); |
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f[A] = f0[A]*hp1 + f1[A]*hp2; |
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f[B] = f0[B]*hp1 + f1[B]*hp2; |
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f[C] = f0[C]*hp1 + f1[C]*hp2; |
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f[D] = f0[D]*hp1 + f1[D]*hp2 + |
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f0[n]*hpoly3(xarg[n]) + f1[n]*hpoly4(xarg[n]); |
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} |
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} |
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double |
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l_hermite() /* library call for hermite interpolation */ |
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{ |
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double t; |
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|
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t = argument(5); |
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return( hermite(argument(1), argument(2), |
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argument(3), argument(4), t) ); |
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} |
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double |
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fnoise3(p) /* compute fractal noise function */ |
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double p[3]; |
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{ |
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double floor(); |
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long t[3], v[3], beg[3]; |
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double fval[8], fc; |
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int branch; |