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

36 lines
695 B
C

#include <math.h>
#include "nrutil.h"
void qrdcmp(a,n,c,d,sing)
float **a,*c,*d;
int *sing,n;
{
int i,j,k;
float scale,sigma,sum,tau;
*sing=0;
for (k=1;k<n;k++) {
scale=0.0;
for (i=k;i<=n;i++) scale=FMAX(scale,fabs(a[i][k]));
if (scale == 0.0) {
*sing=1;
c[k]=d[k]=0.0;
} else {
for (i=k;i<=n;i++) a[i][k] /= scale;
for (sum=0.0,i=k;i<=n;i++) sum += SQR(a[i][k]);
sigma=SIGN(sqrt(sum),a[k][k]);
a[k][k] += sigma;
c[k]=sigma*a[k][k];
d[k] = -scale*sigma;
for (j=k+1;j<=n;j++) {
for (sum=0.0,i=k;i<=n;i++) sum += a[i][k]*a[i][j];
tau=sum/c[k];
for (i=k;i<=n;i++) a[i][j] -= tau*a[i][k];
}
}
}
d[n]=a[n][n];
if (d[n] == 0.0) *sing=1;
}