#include <math.h>

#define SWAP(a,b) tempr=(a);(a)=(b);(b)=tempr

void fourn(data,nn,ndim,isign)
float data[];
int nn[],ndim,isign;
{
	int i1,i2,i3,i2rev,i3rev,ip1,ip2,ip3,ifp1,ifp2;
	int ibit,idim,k1,k2,n,nprev,nrem,ntot;
	float tempi,tempr;
	double theta,wi,wpi,wpr,wr,wtemp;

	ntot=1;
	for (idim=1;idim<=ndim;idim++)
		ntot *= nn[idim];
	nprev=1;
	for (idim=ndim;idim>=1;idim--) {
		n=nn[idim];
		nrem=ntot/(n*nprev);
		ip1=nprev << 1;
		ip2=ip1*n;
		ip3=ip2*nrem;
		i2rev=1;
		for (i2=1;i2<=ip2;i2+=ip1) {
			if (i2 < i2rev) {
				for (i1=i2;i1<=i2+ip1-2;i1+=2) {
					for (i3=i1;i3<=ip3;i3+=ip2) {
						i3rev=i2rev+i3-i2;
						SWAP(data[i3],data[i3rev]);
						SWAP(data[i3+1],data[i3rev+1]);
					}
				}
			}
			ibit=ip2 >> 1;
			while (ibit >= ip1 && i2rev > ibit) {
				i2rev -= ibit;
				ibit >>= 1;
			}
			i2rev += ibit;
		}
		ifp1=ip1;
		while (ifp1 < ip2) {
			ifp2=ifp1 << 1;
			theta=isign*6.28318530717959/(ifp2/ip1);
			wtemp=sin(0.5*theta);
			wpr = -2.0*wtemp*wtemp;
			wpi=sin(theta);
			wr=1.0;
			wi=0.0;
			for (i3=1;i3<=ifp1;i3+=ip1) {
				for (i1=i3;i1<=i3+ip1-2;i1+=2) {
					for (i2=i1;i2<=ip3;i2+=ifp2) {
						k1=i2;
						k2=k1+ifp1;
						tempr=wr*data[k2]-wi*data[k2+1];
						tempi=wr*data[k2+1]+wi*data[k2];
						data[k2]=data[k1]-tempr;
						data[k2+1]=data[k1+1]-tempi;
						data[k1] += tempr;
						data[k1+1] += tempi;
					}
				}
				wr=(wtemp=wr)*wpr-wi*wpi+wr;
				wi=wi*wpr+wtemp*wpi+wi;
			}
			ifp1=ifp2;
		}
		nprev *= n;
	}
}

#undef SWAP