#include #define NRANSI #include "nrutil.h" #define TINY 1.0e-25 #define ITMAX 200 void powell(float p[], float **xi, int n, float ftol, int *iter, float *fret, float (*func)(float [])) { void linmin(float p[], float xi[], int n, float *fret, float (*func)(float [])); 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 #undef NRANSI