Files
2025-02-Numerical/lib/nr/cpp/recipes/dftint.cpp
2025-09-12 18:55:25 +09:00

54 lines
1.2 KiB
C++

#include <cmath>
#include "nr.h"
using namespace std;
void NR::dftint(DP func(const DP), const DP a, const DP b, const DP w,
DP &cosint, DP &sinint)
{
static int init=0;
static DP (*funcold)(const DP);
static DP aold = -1.e30,bold = -1.e30,delta;
const int M=64,NDFT=1024,MPOL=6;
const DP TWOPI=6.283185307179586476;
int j,nn;
DP c,cdft,cerr,corfac,corim,corre,en,s,sdft,serr;
static Vec_DP data(NDFT),endpts(8);
Vec_DP cpol(MPOL),spol(MPOL),xpol(MPOL);
if (init != 1 || a != aold || b != bold || func != funcold) {
init=1;
aold=a;
bold=b;
funcold=func;
delta=(b-a)/M;
for (j=0;j<M+1;j++)
data[j]=func(a+j*delta);
for (j=M+1;j<NDFT;j++)
data[j]=0.0;
for (j=0;j<4;j++) {
endpts[j]=data[j];
endpts[j+4]=data[M-3+j];
}
realft(data,1);
data[1]=0.0;
}
en=w*delta*NDFT/TWOPI+1.0;
nn=MIN(MAX(int(en-0.5*MPOL+1.0),1),NDFT/2-MPOL+1);
for (j=0;j<MPOL;j++,nn++) {
cpol[j]=data[2*nn-2];
spol[j]=data[2*nn-1];
xpol[j]=nn;
}
polint(xpol,cpol,en,cdft,cerr);
polint(xpol,spol,en,sdft,serr);
dftcor(w,delta,a,b,endpts,corre,corim,corfac);
cdft *= corfac;
sdft *= corfac;
cdft += corre;
sdft += corim;
c=delta*cos(w*a);
s=delta*sin(w*a);
cosint=c*cdft-s*sdft;
sinint=s*cdft+c*sdft;
}