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/* A program to test 3d complex forward and inverse fast fourier transform routines */
#include <NR.H> /* uses fourn from numerical recipes in C to verify ifft3d */
/*change fmin in numerical recipes to fminnr to avoid conflict with fp.h */
#include <stdio.h>
#include <stdlib.h>
#include <fp.h>
#include <math.h>
#include "fftlib.h"
#include "fftext.h"
#include "fft2d.h"
#if macintosh
#include <timer.h>
#endif
#define NSIZES 24 /* the number of different ffts col sizes to test */
#define BIPRAND(a) (2.0/(RAND_MAX+1.0)*a-1.0)
typedef struct{
float Re;
float Im;
} Complex;
void main(){
long fftSize[NSIZES] = /* size of FFTs cols, must be powers of 2 */
{2, 4, 8, 16, 32, 64, 128, 256,
512, 1024, 2048, 4096, 8192, 16384, 32768, 65536,
131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216};
Complex *a1;
long isize;
long i1;
long TheErr;
long N;
long M;
long N2 = 16; /* the number of rows in the 3d fft */
long M2;
long N3 = 32; /* the number of pages in the 3d fft */
long M3;
float maxerrifft;
float maxerrfft;
unsigned long nn[3];
unsigned int randseed = 777;
int rannum;
#if macintosh
UnsignedWide TheTime1;
Microseconds(&TheTime1);
randseed = TheTime1.lo;
#endif
printf(" %6d Byte Floats \n", sizeof(a1[0].Re));
printf(" randseed = %10u\n", randseed);
for (isize = 0; isize < NSIZES; isize++){
srand(randseed);
N = fftSize[isize];
M = roundtol(LOG2(N));
N = POW2(M);
M2 = roundtol(LOG2(N2));
N2 = POW2(M2);
M3 = roundtol(LOG2(N3));
N3 = POW2(M3);
printf("ffts size = %5d X%5d X%6d, ", N3, N2, N);
nn[0] = N3;
nn[1] = N2;
nn[2] = N;
TheErr = fft3dInit(M3, M2, M);
if(!TheErr){
a1 = (Complex *) malloc(N3*N2*N*sizeof(Complex) );
if (a1 == 0) TheErr = 2;
}
if(!TheErr){
/* set up a simple test case */
for (i1=0; i1<N3*N2*N; i1++){
rannum = rand();
a1[i1].Re = BIPRAND(rannum);
rannum = rand();
a1[i1].Im = BIPRAND(rannum);
}
/* first use fourn from numerical recipes in C to verify ifft3d */
/* Note their inverse fft is really the conventional forward fft */
fourn((float *)a1-1, nn-1, 3, -1);
ifft3d((float *)a1, M3, M2, M);
maxerrifft = 0;
srand(randseed);
for (i1=0; i1<N3*N2*N; i1++){
rannum = rand();
maxerrifft = fmax(maxerrifft, fabs(BIPRAND(rannum)-a1[i1].Re));
a1[i1].Re = BIPRAND(rannum);
rannum = rand();
maxerrifft = fmax(maxerrifft, fabs(BIPRAND(rannum)-a1[i1].Im));
a1[i1].Im = BIPRAND(rannum);
}
printf("errifft = %4.3e, ", maxerrifft);
/* now use iffts to verify ffts */
ifft3d((float *)a1, M3, M2, M);
fft3d((float *)a1, M3, M2, M);
maxerrfft = 0;
srand(randseed);
for (i1=0; i1<N3*N2*N; i1++){
rannum = rand();
maxerrfft = fmax(maxerrfft, fabs(BIPRAND(rannum)-a1[i1].Re));
rannum = rand();
maxerrfft = fmax(maxerrfft, fabs(BIPRAND(rannum)-a1[i1].Im));
}
printf("errfft = %4.3e\n", maxerrfft);
free(a1);
fft3dFree();
}
else{
if(TheErr==2) printf(" out of memory \n");
else printf(" error \n");
fft3dFree();
}
}
printf(" Done. \n");
return;
}
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