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

42 lines
705 B
C++

#include <cmath>
#include "nr.h"
using namespace std;
void NR::ratint(Vec_I_DP &xa, Vec_I_DP &ya, const DP x, DP &y, DP &dy)
{
const DP TINY=1.0e-25;
int m,i,ns=0;
DP w,t,hh,h,dd;
int n=xa.size();
Vec_DP c(n),d(n);
hh=fabs(x-xa[0]);
for (i=0;i<n;i++) {
h=fabs(x-xa[i]);
if (h == 0.0) {
y=ya[i];
dy=0.0;
return;
} else if (h < hh) {
ns=i;
hh=h;
}
c[i]=ya[i];
d[i]=ya[i]+TINY;
}
y=ya[ns--];
for (m=1;m<n;m++) {
for (i=0;i<n-m;i++) {
w=c[i+1]-d[i];
h=xa[i+m]-x;
t=(xa[i]-x)*d[i]/h;
dd=t-c[i+1];
if (dd == 0.0) nrerror("Error in routine ratint");
dd=w/dd;
d[i]=c[i+1]*dd;
c[i]=t*dd;
}
y += (dy=(2*(ns+1) < (n-m) ? c[ns+1] : d[ns--]));
}
}