Files
2025-09-12 18:55:25 +09:00

118 lines
2.6 KiB
C

#include <math.h>
#include "nrutil.h"
#define PFAC 0.1
#define MNPT 15
#define MNBS 60
#define TINY 1.0e-30
#define BIG 1.0e30
static long iran=0;
void miser(func,regn,ndim,npts,dith,ave,var)
float (*func)(),*ave,*var,dith,regn[];
int ndim;
unsigned long npts;
{
void ranpt();
float *regn_temp;
unsigned long n,npre,nptl,nptr;
int j,jb;
float avel,varl;
float fracl,fval;
float rgl,rgm,rgr,s,sigl,siglb,sigr,sigrb;
float sum,sumb,summ,summ2;
float *fmaxl,*fmaxr,*fminl,*fminr;
float *pt,*rmid;
pt=vector(1,ndim);
if (npts < MNBS) {
summ=summ2=0.0;
for (n=1;n<=npts;n++) {
ranpt(pt,regn,ndim);
fval=(*func)(pt);
summ += fval;
summ2 += fval * fval;
}
*ave=summ/npts;
*var=FMAX(TINY,(summ2-summ*summ/npts)/(npts*npts));
}
else {
rmid=vector(1,ndim);
npre=LMAX((unsigned long)(npts*PFAC),MNPT);
fmaxl=vector(1,ndim);
fmaxr=vector(1,ndim);
fminl=vector(1,ndim);
fminr=vector(1,ndim);
for (j=1;j<=ndim;j++) {
iran=(iran*2661+36979) % 175000;
s=SIGN(dith,(float)(iran-87500));
rmid[j]=(0.5+s)*regn[j]+(0.5-s)*regn[ndim+j];
fminl[j]=fminr[j]=BIG;
fmaxl[j]=fmaxr[j] = -BIG;
}
for (n=1;n<=npre;n++) {
ranpt(pt,regn,ndim);
fval=(*func)(pt);
for (j=1;j<=ndim;j++) {
if (pt[j]<=rmid[j]) {
fminl[j]=FMIN(fminl[j],fval);
fmaxl[j]=FMAX(fmaxl[j],fval);
}
else {
fminr[j]=FMIN(fminr[j],fval);
fmaxr[j]=FMAX(fmaxr[j],fval);
}
}
}
sumb=BIG;
jb=0;
siglb=sigrb=1.0;
for (j=1;j<=ndim;j++) {
if (fmaxl[j] > fminl[j] && fmaxr[j] > fminr[j]) {
sigl=FMAX(TINY,pow(fmaxl[j]-fminl[j],2.0/3.0));
sigr=FMAX(TINY,pow(fmaxr[j]-fminr[j],2.0/3.0));
sum=sigl+sigr;
if (sum<=sumb) {
sumb=sum;
jb=j;
siglb=sigl;
sigrb=sigr;
}
}
}
free_vector(fminr,1,ndim);
free_vector(fminl,1,ndim);
free_vector(fmaxr,1,ndim);
free_vector(fmaxl,1,ndim);
if (!jb) jb=1+(ndim*iran)/175000;
rgl=regn[jb];
rgm=rmid[jb];
rgr=regn[ndim+jb];
fracl=fabs((rgm-rgl)/(rgr-rgl));
nptl=(unsigned long)(MNPT+(npts-npre-2*MNPT)*fracl*siglb
/(fracl*siglb+(1.0-fracl)*sigrb));
nptr=npts-npre-nptl;
regn_temp=vector(1,2*ndim);
for (j=1;j<=ndim;j++) {
regn_temp[j]=regn[j];
regn_temp[ndim+j]=regn[ndim+j];
}
regn_temp[ndim+jb]=rmid[jb];
miser(func,regn_temp,ndim,nptl,dith,&avel,&varl);
regn_temp[jb]=rmid[jb];
regn_temp[ndim+jb]=regn[ndim+jb];
miser(func,regn_temp,ndim,nptr,dith,ave,var);
free_vector(regn_temp,1,2*ndim);
*ave=fracl*avel+(1-fracl)*(*ave);
*var=fracl*fracl*varl+(1-fracl)*(1-fracl)*(*var);
free_vector(rmid,1,ndim);
}
free_vector(pt,1,ndim);
}
#undef MNPT
#undef MNBS
#undef TINY
#undef BIG
#undef PFAC