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2025-02-Numerical/lib/nr/k_and_r/recipes/spear.c
2025-09-12 18:55:25 +09:00

45 lines
985 B
C

#include <math.h>
#include "nrutil.h"
void spear(data1,data2,n,d,zd,probd,rs,probrs)
float *d,*probd,*probrs,*rs,*zd,data1[],data2[];
unsigned long n;
{
float betai(),erfcc();
void crank(),sort2();
unsigned long j;
float vard,t,sg,sf,fac,en3n,en,df,aved,*wksp1,*wksp2;
wksp1=vector(1,n);
wksp2=vector(1,n);
for (j=1;j<=n;j++) {
wksp1[j]=data1[j];
wksp2[j]=data2[j];
}
sort2(n,wksp1,wksp2);
crank(n,wksp1,&sf);
sort2(n,wksp2,wksp1);
crank(n,wksp2,&sg);
*d=0.0;
for (j=1;j<=n;j++)
*d += SQR(wksp1[j]-wksp2[j]);
en=n;
en3n=en*en*en-en;
aved=en3n/6.0-(sf+sg)/12.0;
fac=(1.0-sf/en3n)*(1.0-sg/en3n);
vard=((en-1.0)*en*en*SQR(en+1.0)/36.0)*fac;
*zd=(*d-aved)/sqrt(vard);
*probd=erfcc(fabs(*zd)/1.4142136);
*rs=(1.0-(6.0/en3n)*(*d+(sf+sg)/12.0))/sqrt(fac);
fac=(*rs+1.0)*(1.0-(*rs));
if (fac > 0.0) {
t=(*rs)*sqrt((en-2.0)/fac);
df=en-2.0;
*probrs=betai(0.5*df,0.5,df/(df+t*t));
} else
*probrs=0.0;
free_vector(wksp2,1,n);
free_vector(wksp1,1,n);
}