#include <math.h>
void realft(float data[], unsigned long n, int isign)
{
void four1(float data[], unsigned long nn, int isign);
unsigned long i,i1,i2,i3,i4,np3;
float c1=0.5,c2,h1r,h1i,h2r,h2i;
double wr,wi,wpr,wpi,wtemp,theta;
theta=3.141592653589793/(double) (n>>1);
if (isign == 1) {
c2 = -0.5;
four1(data,n>>1,1);
} else {
c2=0.5;
theta = -theta;
}
wtemp=sin(0.5*theta);
wpr = -2.0*wtemp*wtemp;
wpi=sin(theta);
wr=1.0+wpr;
wi=wpi;
np3=n+3;
for (i=2;i<=(n>>2);i++) {
i4=1+(i3=np3-(i2=1+(i1=i+i-1)));
h1r=c1*(data[i1]+data[i3]);
h1i=c1*(data[i2]-data[i4]);
h2r = -c2*(data[i2]+data[i4]);
h2i=c2*(data[i1]-data[i3]);
data[i1]=h1r+wr*h2r-wi*h2i;
data[i2]=h1i+wr*h2i+wi*h2r;
data[i3]=h1r-wr*h2r+wi*h2i;
data[i4] = -h1i+wr*h2i+wi*h2r;
wr=(wtemp=wr)*wpr-wi*wpi+wr;
wi=wi*wpr+wtemp*wpi+wi;
}
if (isign == 1) {
data[1] = (h1r=data[1])+data[2];
data[2] = h1r-data[2];
} else {
data[1]=c1*((h1r=data[1])+data[2]);
data[2]=c1*(h1r-data[2]);
four1(data,n>>1,-1);
}
}