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

55 lines
862 B
C

#include <math.h>
#include "nrutil.h"
#define MF 3
#define BI (1.0/256)
void mpsqrt(w,u,v,n,m)
int m,n;
unsigned char u[],v[],w[];
{
void mplsh(),mpmov(),mpmul(),mpneg(),mpsdv();
int i,ir,j,mm;
float fu,fv;
unsigned char *r,*s;
r=cvector(1,n<<1);
s=cvector(1,n<<1);
mm=IMIN(m,MF);
fv=(float) v[mm];
for (j=mm-1;j>=1;j--) {
fv *= BI;
fv += v[j];
}
fu=1.0/sqrt(fv);
for (j=1;j<=n;j++) {
i=(int) fu;
u[j]=(unsigned char) i;
fu=256.0*(fu-i);
}
for (;;) {
mpmul(r,u,u,n,n);
mplsh(r,n);
mpmul(s,r,v,n,IMIN(m,n));
mplsh(s,n);
mpneg(s,n);
s[1] -= 253;
mpsdv(s,s,n,2,&ir);
for (j=2;j<n;j++) {
if (s[j]) {
mpmul(r,s,u,n,n);
mpmov(u,&r[1],n);
break;
}
}
if (j<n) continue;
mpmul(r,u,v,n,IMIN(m,n));
mpmov(w,&r[1],n);
free_cvector(s,1,n<<1);
free_cvector(r,1,n<<1);
return;
}
}
#undef MF
#undef BI