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

33 lines
610 B
C++

#include <cmath>
#include "nr.h"
using namespace std;
void NR::pearsn(Vec_I_DP &x, Vec_I_DP &y, DP &r, DP &prob, DP &z)
{
const DP TINY=1.0e-20;
int j;
DP yt,xt,t,df;
DP syy=0.0,sxy=0.0,sxx=0.0,ay=0.0,ax=0.0;
int n=x.size();
for (j=0;j<n;j++) {
ax += x[j];
ay += y[j];
}
ax /= n;
ay /= n;
for (j=0;j<n;j++) {
xt=x[j]-ax;
yt=y[j]-ay;
sxx += xt*xt;
syy += yt*yt;
sxy += xt*yt;
}
r=sxy/(sqrt(sxx*syy)+TINY);
z=0.5*log((1.0+r+TINY)/(1.0-r+TINY));
df=n-2;
t=r*sqrt(df/((1.0-r+TINY)*(1.0+r+TINY)));
prob=betai(0.5*df,0.5,df/(df+t*t));
// prob=erfcc(fabs(z*sqrt(n-1.0))/1.4142136);
}