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#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "nrutil.h"
void PCA(float **star,int Nstar,int Mp,double **basef,double **coff);
void psfPCA(float *tstar, int tNstar, int tMp, double *tbasef, double *tcoff)
{
int i, j, k;
float **star;
double **basef;
double **coff;
fprintf(stdout, "libPCA.so: load libPCA for psf-Matrix-[%d, %d]\n", tNstar, tMp);
fflush(stdout);
star = matrix(0, tNstar-1, 0, tMp-1);
for(i=0; i<tNstar; i++)
for(j=0; j<tMp; j++)
{
k = j + i*tMp;
star[i][j] = tstar[k];
}
int Nstar, Mp;
Nstar = tNstar;
Mp = tMp;
basef= dmatrix(0, tNstar-1, 0, tMp-1);
coff = dmatrix(0, tNstar-1, 0, tNstar-1);
PCA(star, Nstar, Mp, basef, coff);
for(i=0; i<tNstar; i++)
for(j=0; j<tMp; j++)
{
k = j + i*tMp;
tbasef[k] = basef[i][j];
}
for(i=0; i<tNstar; i++)
for(j=0; j<tNstar; j++)
{
k = j + i*tNstar;
tcoff[k] = coff[i][j];
}
fprintf(stdout, "libPCA.so: psf-PCAs have been found!\n");
fflush(stdout);
}
void PCA(float **star,int Nstar,int Mp,double **basef,double **coff)
{
void svdcmp(double **a, int m, int n, double *w, double **v);
void indexx(int n, double arr[], int *indx);
double **a,**v,*w,*check;
int i,j,k,*indx;
if(Mp>=Nstar){
a=dmatrix(1,Mp,1,Nstar);
v=dmatrix(1,Nstar,1,Nstar);
w=dvector(1,Nstar);
indx=ivector(1,Nstar);
for(i=1;i<=Nstar;i++){for(j=1;j<=Mp;j++)a[j][i]=star[i-1][j-1];}
svdcmp(a,Mp,Nstar,w,v);
indexx(Nstar,w,indx);
for(j=1;j<=Nstar;j++){
k=indx[Nstar-j+1];
for(i=1;i<=Mp;i++)basef[j-1][i-1]=a[i][k];
}
for(i=1;i<=Nstar;i++){
for(j=1;j<=Nstar;j++){
k=indx[Nstar-j+1];
coff[i-1][j-1]= w[k]*v[i][k];
}
}
//for(j=1;j<=Nstar;j++){for(i=1;i<=Mp;i++)basef[j-1][i-1]=a[i][j];}
//for(i=1;i<=Nstar;i++){for(k=1;k<=Nstar;k++)coff[i-1][k-1]= w[k]*v[i][k];}
free_dmatrix(a,1,Mp,1,Nstar);
free_dmatrix(v,1,Nstar,1,Nstar);
free_dvector(w,1,Nstar);
free_ivector(indx,1,Nstar);
}
else{
a=dmatrix(1,Nstar,1,Mp);
v=dmatrix(1,Mp,1,Mp);
w=dvector(1,Mp);
indx=ivector(1,Mp);
for(i=1;i<=Nstar;i++){for(j=1;j<=Mp;j++)a[i][j]=star[i-1][j-1];}
svdcmp(a,Nstar,Mp,w,v);
indexx(Mp,w,indx);
for(j=1;j<=Mp;j++){
k=indx[Mp-j+1];
for(i=1;i<=Mp;i++)basef[j-1][i-1]=v[i][k];
}
for(i=1;i<=Nstar;i++){
for(j=1;j<=Mp;j++){
k=indx[Mp-j+1];
coff[i-1][j-1]= w[k]*a[i][k];
}
}
free_dmatrix(a,1,Nstar,1,Mp);
free_dmatrix(v,1,Mp,1,Mp);
free_dvector(w,1,Mp);
free_ivector(indx,1,Mp);
}
}
void PCA_err(float **err,int Nstar,int Mp,int nbf,double **basef,double **cofferr)
{
float gasdev(long *iseed);
long iseed=-1;
int nc=100,i,j,k,ns;
double sum,*mean,**coeffs,*start,*errt,det;
FILE *fp;
start=dvector(0,Mp);
mean=dvector(0,nbf);
coeffs=dmatrix(0,nc,0,nbf);
for(ns=0;ns<Nstar;ns++){
for(k=0;k<nbf;k++)mean[k]=0;
for(k=0;k<nc;k++){
for(j=0;j<Mp;j++)start[j]=gasdev(&iseed)*err[ns][j];
for(i=0;i<nbf;i++){
coeffs[k][i]=0;
for(j=0;j<Mp;j++)coeffs[k][i]+=start[j]*basef[i][j];
mean[i]+=coeffs[k][i];
}
}
for(k=0;k<nbf;k++)mean[k]/=nc;
for(i=0;i<nbf;i++){
sum=0;
for(k=0;k<nc;k++){
det=coeffs[k][i]-mean[i];
sum+=det*det;
}
cofferr[ns][i]=sqrt(sum/(nc-1.));
}
}
free_dvector(start,0,Mp);
free_dvector(mean,0,nbf);
free_dmatrix(coeffs,0,nc,0,nbf);
}