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June 15, 2016 15:54
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C++ implementation of FFT
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/** | |
* C++ implementation of FFT | |
* | |
* Source: http://paulbourke.net/miscellaneous/dft/ | |
*/ | |
#pragma once | |
/* | |
This computes an in-place complex-to-complex FFT | |
x and y are the real and imaginary arrays of 2^m points. | |
dir = 1 gives forward transform | |
dir = -1 gives reverse transform | |
*/ | |
inline void FFT(short int dir,long m,double *x,double *y) | |
{ | |
long n,i,i1,j,k,i2,l,l1,l2; | |
double c1,c2,tx,ty,t1,t2,u1,u2,z; | |
/* Calculate the number of points */ | |
n = 1; | |
for (i=0;i<m;i++) | |
n *= 2; | |
/* Do the bit reversal */ | |
i2 = n >> 1; | |
j = 0; | |
for (i=0;i<n-1;i++) { | |
if (i < j) { | |
tx = x[i]; | |
ty = y[i]; | |
x[i] = x[j]; | |
y[i] = y[j]; | |
x[j] = tx; | |
y[j] = ty; | |
} | |
k = i2; | |
while (k <= j) { | |
j -= k; | |
k >>= 1; | |
} | |
j += k; | |
} | |
/* Compute the FFT */ | |
c1 = -1.0; | |
c2 = 0.0; | |
l2 = 1; | |
for (l=0;l<m;l++) { | |
l1 = l2; | |
l2 <<= 1; | |
u1 = 1.0; | |
u2 = 0.0; | |
for (j=0;j<l1;j++) { | |
for (i=j;i<n;i+=l2) { | |
i1 = i + l1; | |
t1 = u1 * x[i1] - u2 * y[i1]; | |
t2 = u1 * y[i1] + u2 * x[i1]; | |
x[i1] = x[i] - t1; | |
y[i1] = y[i] - t2; | |
x[i] += t1; | |
y[i] += t2; | |
} | |
z = u1 * c1 - u2 * c2; | |
u2 = u1 * c2 + u2 * c1; | |
u1 = z; | |
} | |
c2 = sqrt((1.0 - c1) / 2.0); | |
if (dir == 1) | |
c2 = -c2; | |
c1 = sqrt((1.0 + c1) / 2.0); | |
} | |
/* Scaling for forward transform */ | |
if (dir == 1) { | |
for (i=0;i<n;i++) { | |
x[i] /= n; | |
y[i] /= n; | |
} | |
} | |
} |
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I used your code as the basis for my FFT fixed point implementation and credited you in the READ ME is there anything else you would like me to do?