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

59 lines
1.1 KiB
C

#include <math.h>
#include "nrutil.h"
#define TINY 1.0e-25
#define ITMAX 200
void powell(p,xi,n,ftol,iter,fret,func)
float (*func)(),**xi,*fret,ftol,p[];
int *iter,n;
{
void linmin();
int i,ibig,j;
float del,fp,fptt,t,*pt,*ptt,*xit;
pt=vector(1,n);
ptt=vector(1,n);
xit=vector(1,n);
*fret=(*func)(p);
for (j=1;j<=n;j++) pt[j]=p[j];
for (*iter=1;;++(*iter)) {
fp=(*fret);
ibig=0;
del=0.0;
for (i=1;i<=n;i++) {
for (j=1;j<=n;j++) xit[j]=xi[j][i];
fptt=(*fret);
linmin(p,xit,n,fret,func);
if (fptt-(*fret) > del) {
del=fptt-(*fret);
ibig=i;
}
}
if (2.0*(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))+TINY) {
free_vector(xit,1,n);
free_vector(ptt,1,n);
free_vector(pt,1,n);
return;
}
if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");
for (j=1;j<=n;j++) {
ptt[j]=2.0*p[j]-pt[j];
xit[j]=p[j]-pt[j];
pt[j]=p[j];
}
fptt=(*func)(ptt);
if (fptt < fp) {
t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);
if (t < 0.0) {
linmin(p,xit,n,fret,func);
for (j=1;j<=n;j++) {
xi[j][ibig]=xi[j][n];
xi[j][n]=xit[j];
}
}
}
}
}
#undef ITMAX