psf.c

/*
*				psf.c
*
* Fit a PSF model to an image.
*
*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
*
*	This file part of:	SExtractor
*
*	Copyright:		(C) 1998-2010 Emmanuel Bertin -- IAP/CNRS/UPMC
*
*	License:		GNU General Public License
*
*	SExtractor is free software: you can redistribute it and/or modify
*	it under the terms of the GNU General Public License as published by
*	the Free Software Foundation, either version 3 of the License, or
*	(at your option) any later version.
*	SExtractor is distributed in the hope that it will be useful,
*	but WITHOUT ANY WARRANTY; without even the implied warranty of
*	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
*	GNU General Public License for more details.
*	You should have received a copy of the GNU General Public License
*	along with SExtractor. If not, see <http://www.gnu.org/licenses/>.
*
*	Last modified:		11/10/2010
*
*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/

#ifdef HAVE_CONFIG_H
#include        "config.h"
#endif

#include	<math.h>
#include	<stdio.h>
#include	<stdlib.h>
#include	<string.h>

#include	"define.h"
#include	"globals.h"
#include	"prefs.h"
#include	"fits/fitscat.h"
#include	"check.h"
#include	"filter.h"
#include	"image.h"
#include	"wcs/poly.h"
#include	"psf.h"

/*------------------------------- variables ---------------------------------*/


extern keystruct	objkey[];
extern objstruct	outobj;

/********************************* psf_init **********************************/
/*
Allocate memory and stuff for the PSF-fitting.
*/
void	psf_init(psfstruct *psf)
  {
  QMALLOC(thepsfit, psfitstruct, 1);
  QMALLOC(thepsfit->x, double, prefs.psf_npsfmax);
  QMALLOC(thepsfit->y, double, prefs.psf_npsfmax);
  QMALLOC(thepsfit->flux, float, prefs.psf_npsfmax);
  QMALLOC(thepsfit->fluxerr, float, prefs.psf_npsfmax);
  QMALLOC(ppsfit, psfitstruct, 1); /*?*/
  QMALLOC(ppsfit->x, double, prefs.psf_npsfmax);
  QMALLOC(ppsfit->y, double, prefs.psf_npsfmax);
  QMALLOC(ppsfit->flux, float, prefs.psf_npsfmax);
  QMALLOC(ppsfit->fluxerr, float, prefs.psf_npsfmax);

  return;
  }  


/********************************* psf_end ***********************************/
/*
Free memory occupied by the PSF-fitting stuff.
*/
void	psf_end(psfstruct *psf, psfitstruct *psfit)
  {
   int	d, ndim;

  if (psf->pc)
    pc_end(psf->pc);

  ndim = psf->poly->ndim;
  for (d=0; d<ndim; d++)
    free(psf->contextname[d]);
  free(psf->context);
  free(psf->contextname);
  free(psf->contextoffset);
  free(psf->contextscale);
  free(psf->contexttyp);
  poly_end(psf->poly);
  free(psf->maskcomp);
  free(psf->maskloc);
  free(psf->masksize);
  free(psf);

  if (psfit)
    {
    free(psfit->x);
    free(psfit->y);
    free(psfit->flux);
    free(psfit->fluxerr);
    free(psfit);
    }

  return;
  }


/********************************* psf_load *********************************/
/*
Read the PSF data from a FITS file.
*/
psfstruct	*psf_load(char *filename)
  {
   static objstruct	saveobj;
   static obj2struct	saveobj2;
   psfstruct		*psf;
   catstruct		*cat;
   tabstruct		*tab;
   keystruct		*key;
   char			*head, *ci,*co;
   int			deg[POLY_MAXDIM], group[POLY_MAXDIM], ndim, ngroup,
			i,k;

/* Open the cat (well it is not a "cat", but simply a FITS file */
  if (!(cat = read_cat(filename)))
    error(EXIT_FAILURE, "*Error*: PSF file not found: ", filename);

/* OK, we now allocate memory for the PSF structure itself */
  QCALLOC(psf, psfstruct, 1);

/* Store a short copy of the PSF filename */
  if ((ci=strrchr(filename, '/')))
    strcpy(psf->name, ci+1);
  else
    strcpy(psf->name, filename);

  if (!(tab = name_to_tab(cat, "PSF_DATA", 0)))
    error(EXIT_FAILURE, "*Error*: PSF_DATA table not found in catalog ",
	filename);

  head = tab->headbuf;

/*-- Dimension of the polynomial */
  if (fitsread(head, "POLNAXIS", &ndim, H_INT,T_LONG) == RETURN_OK
	&& ndim)
    {
/*-- So we have a polynomial description of the PSF variations */
    if (ndim > POLY_MAXDIM)
        {
        sprintf(gstr, "*Error*: The POLNAXIS parameter in %s exceeds %d",
		psf->name, POLY_MAXDIM);
        error(EXIT_FAILURE, gstr, "");
        }

    QMALLOC(psf->contextname, char *, ndim);
    QMALLOC(psf->context, double *, ndim);
    QMALLOC(psf->contexttyp, t_type, ndim);
    QMALLOC(psf->contextoffset, double, ndim);
    QMALLOC(psf->contextscale, double, ndim);

/*-- We will have to use the outobj structs, so we first save their content */
    saveobj = outobj;
    saveobj2 = outobj2;
/*-- outobj's are used as FLAG arrays, so we initialize them to 0 */
    memset(&outobj, 0, sizeof(outobj));
    memset(&outobj2, 0, sizeof(outobj2));
    for (i=0; i<ndim; i++)
      {
/*---- Polynomial groups */
      sprintf(gstr, "POLGRP%1d", i+1);
      if (fitsread(head, gstr, &group[i], H_INT,T_LONG) != RETURN_OK)
        goto headerror;

/*---- Contexts */
      QMALLOC(psf->contextname[i], char, 80);
      sprintf(gstr, "POLNAME%1d", i+1);
      if (fitsread(head,gstr,psf->contextname[i],H_STRING,T_STRING)!=RETURN_OK)
        goto headerror;
      if (*psf->contextname[i]==(char)':')
/*------ It seems we're facing a FITS header parameter */
        psf->context[i] = NULL;	/* This is to tell we'll have to load */
				/* a FITS header context later on */
      else
/*------ The context element is a dynamic object parameter */
        {
        if ((k = findkey(psf->contextname[i], (char *)objkey,
		sizeof(keystruct)))==RETURN_ERROR)
          {
          sprintf(gstr, "*Error*: %s CONTEXT parameter in %s unknown",
		psf->contextname[i], psf->name);
          error(EXIT_FAILURE, gstr, "");
          }
        key = objkey+k;
        psf->context[i] = key->ptr;
        psf->contexttyp[i] = key->ttype;
/*------ Declare the parameter "active" to trigger computation by SExtractor */
        *((char *)key->ptr) = (char)'\1';
        }
/*---- Scaling of the context parameter */
      sprintf(gstr, "POLZERO%1d", i+1);
      if (fitsread(head, gstr, &psf->contextoffset[i], H_EXPO, T_DOUBLE)
		!=RETURN_OK)
        goto headerror;
      sprintf(gstr, "POLSCAL%1d", i+1);
      if (fitsread(head, gstr, &psf->contextscale[i], H_EXPO, T_DOUBLE)
		!=RETURN_OK)
        goto headerror;
      }

/*-- Number of groups */
    if (fitsread(head, "POLNGRP ", &ngroup, H_INT, T_LONG) != RETURN_OK)
      goto headerror;

    for (i=0; i<ngroup; i++)
      {
/*---- Polynomial degree for each group */
      sprintf(gstr, "POLDEG%1d", i+1);
      if (fitsread(head, gstr, &deg[i], H_INT,T_LONG) != RETURN_OK)
        goto headerror;
      }

    psf->poly = poly_init(group, ndim, deg, ngroup);

/*-- Update the permanent FLAG arrays (that is, perform an "OR" on them) */
    for (ci=(char *)&outobj,co=(char *)&flagobj,i=sizeof(objstruct); i--;)
      *(co++) |= *(ci++);
    for (ci=(char *)&outobj2,co=(char *)&flagobj2,i=sizeof(obj2struct); i--;)
      *(co++) |= *(ci++);

/*-- Restore previous outobj contents */
    outobj = saveobj;
    outobj2 = saveobj2;
    }
  else
    {
/*-- This is a simple, constant PSF */
    psf->poly = poly_init(group, 0, deg, 0);
    psf->context = NULL;
    }

/* Dimensionality of the PSF mask */
  if (fitsread(head, "PSFNAXIS", &psf->maskdim, H_INT, T_LONG) != RETURN_OK)
    goto headerror;
  if (psf->maskdim<2 || psf->maskdim>3)
    error(EXIT_FAILURE, "*Error*: wrong dimensionality for the PSF "
	"mask in ", filename);
  QMALLOC(psf->masksize, int, psf->maskdim);
  for (i=0; i<psf->maskdim; i++)
    psf->masksize[i] = 1;
  psf->masknpix = 1;
  for (i=0; i<psf->maskdim; i++)
    {
    sprintf(gstr, "PSFAXIS%1d", i+1);
    if (fitsread(head, gstr, &psf->masksize[i], H_INT,T_LONG) != RETURN_OK)
      goto headerror;
    psf->masknpix *= psf->masksize[i];
    }

/* PSF FWHM: defaulted to 3 pixels */
 if (fitsread(head, "PSF_FWHM", &psf->fwhm, H_FLOAT,T_DOUBLE) != RETURN_OK)
    psf->fwhm = 3.0;

/* PSF oversampling: defaulted to 1 */
  if (fitsread(head, "PSF_SAMP", &psf->pixstep,H_FLOAT,T_FLOAT) != RETURN_OK
	|| psf->pixstep <= 0.0)
    psf->pixstep = 1.0;

/* Load the PSF mask data */
  key = read_key(tab, "PSF_MASK");
  psf->maskcomp = key->ptr;

  psf->pc = pc_load(cat);

  QMALLOC(psf->maskloc, float, psf->masksize[0]*psf->masksize[1]);

/* But don't touch my arrays!! */
  blank_keys(tab);

  free_cat(&cat, 1);

  return psf;

headerror:
  error(EXIT_FAILURE, "*Error*: Incorrect or obsolete PSF data in ", filename);
  return NULL;
  }


/***************************** psf_readcontext *******************************/
/*
Read the PSF context parameters in the FITS header.
*/
void	psf_readcontext(psfstruct *psf, picstruct *field)
  {
   static double	contextval[POLY_MAXDIM];
   int			i, ndim;

  ndim = psf->poly->ndim;
  for (i=0; i<ndim; i++)
    if (!psf->context[i])
      {
      psf->context[i] = &contextval[i];
      psf->contexttyp[i] = T_DOUBLE;
      if (fitsread(field->tab->headbuf, psf->contextname[i]+1, &contextval[i],
		H_FLOAT,T_DOUBLE) == RETURN_ERROR)
        {
        sprintf(gstr, "*Error*: %s parameter not found in the header of ",
		psf->contextname[i]+1);
        error(EXIT_FAILURE, gstr, field->rfilename);
        }
      }

  return;
  }


/******************************** psf_fit ***********************************/
/*                   standard PSF fit for one component                     */
/****************************************************************************/

void	psf_fit(psfstruct *psf, picstruct *field, picstruct *wfield,
		objstruct *obj)
{
  checkstruct		*check;
  static obj2struct     *obj2 = &outobj2;
  static double		x2[PSF_NPSFMAX],y2[PSF_NPSFMAX],xy[PSF_NPSFMAX],
			deltax[PSF_NPSFMAX],
			deltay[PSF_NPSFMAX],
			flux[PSF_NPSFMAX],fluxerr[PSF_NPSFMAX],
			deltaxb[PSF_NPSFMAX],deltayb[PSF_NPSFMAX],
			fluxb[PSF_NPSFMAX],fluxerrb[PSF_NPSFMAX],
			sol[PSF_NTOT], covmat[PSF_NTOT*PSF_NTOT], 
			vmat[PSF_NTOT*PSF_NTOT], wmat[PSF_NTOT];
  float			*data, *data2, *data3, *weight, *d, *w;
  double		*mat,
			*m, *var,
			dx,dy,
			pix,pix2, wthresh,val,
			backnoise2, gain, radmin2,radmax2,satlevel,chi2,
			r2, valmax, psf_fwhm;
  float			**psfmasks, **psfmaskx,**psfmasky,
			*ps, *dh, *wh, pixstep;
  PIXTYPE		*datah, *weighth;
  int			i,j,p, npsf,npsfmax, npix, nppix, ix,iy,niter,
			width, height, pwidth,pheight, x,y,
			xmax,ymax, wbad, gainflag, convflag, npsfflag,
			ival,kill=0;
  
  dx = dy = 0.0;
  niter = 0;
  npsfmax = prefs.psf_npsfmax;
  pixstep = 1.0/psf->pixstep;
  gain = (field->gain >0.0? field->gain: 1e30);
  backnoise2 = field->backsig*field->backsig;
  satlevel = field->satur_level - obj->bkg;
  wthresh = wfield?wfield->weight_thresh:BIG;
  gainflag = prefs.weightgain_flag;
  psf_fwhm = psf->fwhm*psf->pixstep;

 
  /* Initialize outputs */
  thepsfit->niter = 0;
  thepsfit->npsf = 0;
  for (j=0; j<npsfmax; j++) 
    {
      thepsfit->x[j] = obj2->posx;
      thepsfit->y[j] = obj2->posy;
      thepsfit->flux[j] = 0.0;
      thepsfit->fluxerr[j] = 0.0;
    }

  /* Scale data area with object "size" */
  ix = (obj->xmax+obj->xmin+1)/2;
  iy = (obj->ymax+obj->ymin+1)/2;
  width = obj->xmax-obj->xmin+1+psf_fwhm;
  if (width < (ival=(int)(psf_fwhm*2)))
    width = ival;
  height = obj->ymax-obj->ymin+1+psf_fwhm;
  if (height < (ival=(int)(psf_fwhm*2)))
    height = ival;
  npix = width*height;
  radmin2 = PSF_MINSHIFT*PSF_MINSHIFT;
  radmax2 = npix/2.0;

  /* Scale total area with PSF FWHM */
  pwidth = (int)(psf->masksize[0]*psf->pixstep)+width;;
  pheight = (int)(psf->masksize[1]*psf->pixstep)+height;
  nppix = pwidth*pheight;

  QMALLOC(weighth, PIXTYPE, npix);
  QMALLOC(weight, float, npix);
  QMALLOC(datah, PIXTYPE, npix);
  QMALLOC(data, float, npix);
  QMALLOC(data2, float, npix);
  QMALLOC(data3, float, npix);
  QMALLOC(mat, double, npix*PSF_NTOT);
  if (prefs.check[CHECK_SUBPSFPROTOS] || prefs.check[CHECK_PSFPROTOS]
      || prefs.check[CHECK_SUBPCPROTOS] || prefs.check[CHECK_PCPROTOS]
      || prefs.check[CHECK_PCOPROTOS])
    {
      QMALLOC(checkmask, PIXTYPE, nppix);
    }

  QMALLOC(psfmasks, float *, npsfmax);
  QMALLOC(psfmaskx, float *, npsfmax);
  QMALLOC(psfmasky, float *, npsfmax);
  for (i=0; i<npsfmax; i++)
    {
      QMALLOC(psfmasks[i], float, npix);
      QMALLOC(psfmaskx[i], float, npix);
      QMALLOC(psfmasky[i], float, npix);
    }

  copyimage(field, datah, width, height, ix, iy);

  /* Compute weights */
  wbad = 0;
  if (wfield)
    {
      copyimage(wfield, weighth, width, height, ix, iy);
      for (wh=weighth, w=weight, dh=datah,p=npix; p--;)
        if ((pix=*(wh++)) < wthresh && pix>0
            && (pix2=*(dh++))>-BIG
            && pix2<satlevel)
          *(w++) = 1/sqrt(pix+(pix2>0.0?
                               (gainflag? pix2*pix/backnoise2:pix2)/gain
                               :0.0));
        else
          {
            *(w++) = 0.0;
            wbad++;
          }
    }
  else
    for (w=weight, dh=datah, p=npix; p--;)
      if ((pix=*(dh++))>-BIG && pix<satlevel)
        *(w++) = 1.0/sqrt(backnoise2+(pix>0.0?pix/gain:0.0));
      else
        {
          *(w++) = 0.0;
          wbad++;
        }

  /* Special action if most of the weights are zero!! */
  if (wbad>=npix-3)
    return;

  /* Weight the data */
  dh = datah;
  val = obj->dbkg;      /* Take into account a local background change */
  d = data;
  w = weight;
  for (p=npix; p--;)
    *(d++) = (*(dh++)-val)**(w++);

  /* Get the local PSF */
  psf_build(psf);

  npsfflag = 1;
  r2 = psf_fwhm*psf_fwhm/2.0;
  fluxb[0] = fluxerrb[0] = deltaxb[0] = deltayb[0] = 0.0;

  for (npsf=1; npsf<=npsfmax && npsfflag; npsf++)
    {
      kill=0;
/*-- First compute an optimum initial guess for the positions of components */
      if (npsf>1)
        {
/*---- Subtract previously fitted components */
          d = data2;
          dh = datah;
          for (p=npix; p--;)
            *(d++) = (double)*(dh++);
          for (j=0; j<npsf-1; j++)
            {
              d = data2;
              ps = psfmasks[j];
              for (p=npix; p--;)
                *(d++) -= flux[j]**(ps++);
            }
          convolve_image(field, data2, data3, width,height);
/*---- Ignore regions too close to stellar cores */
          for (j=0; j<npsf-1; j++)
            {
              d = data3;
              dy = -((double)(height/2)+deltay[j]);
              for (y=height; y--; dy += 1.0)
                {
                  dx = -((double)(width/2)+deltax[j]);
                  for (x=width; x--; dx+= 1.0, d++)
                    if (dx*dx+dy*dy<r2)
                      *d = -BIG;
                }
            }
/*---- Now find the brightest pixel (poor man's guess, to be refined later) */
          d = data3;
          valmax = -BIG;
          xmax = width/2;
          ymax = height/2;
          for (y=0; y<height; y++)
            for (x=0; x<width; x++)
              {
                if ((val = *(d++))>valmax)
                  {
                    valmax = val;
                    xmax = x;
                    ymax = y;
                  }
              }
          deltax[npsf-1] = (double)(xmax - width/2);
          deltay[npsf-1] = (double)(ymax - height/2);
        }
      else
        {
/*---- Only one component to fit: simply use the barycenter as a guess */
          deltax[npsf-1] = obj->mx - ix;
          deltay[npsf-1] = obj->my - iy;
        }

      niter = 0;
      convflag = 1;
      for (i=0; i<PSF_NITER && convflag; i++)
        {
          convflag = 0,niter++,m=mat;
          for (j=0; j<npsf; j++)
            {
/*------ Resample the PSFs here for the 1st iteration */
              vignet_resample(psf->maskloc, psf->masksize[0], psf->masksize[1],
                              psfmasks[j], width, height,
                              -deltax[j]*pixstep, -deltay[j]*pixstep,
                              pixstep);       
              m=compute_gradient(weight,width,height,
                                 psfmasks[j],psfmaskx[j],psfmasky[j],m);
            }
          
          
          svdfit(mat, data, npix, npsf*PSF_NA, sol, vmat, wmat);
          
          compute_pos( &npsf, &convflag, &npsfflag,radmin2,radmax2,
                       r2, sol,flux, deltax, deltay,&dx,&dy);
        }

/*-- Compute variances and covariances */
      svdvar(vmat, wmat, npsf*PSF_NA, covmat);
      var = covmat;
      for (j=0; j<npsf; j++, var += (npsf*PSF_NA+1)*PSF_NA)
        {
/*---- First, the error on the flux estimate */      
          fluxerr[j] = sqrt(*var)>0.0?  sqrt(*var):999999.0;
          //if (flux[j]<12*fluxerr && j>0)
          //  npsfmax--,flux[j]=0;
          if (flux[j]<12*fluxerr[j] && j>0)
                 {
                   flux[j]=0,kill++,npsfmax--;
                   //if(j==npsfmax-1)
                   //  kill++;             
                 } 
        }
      if (npsfflag)
        {
/*--- If we reach this point we know the data are worth backuping */
          for (j=0; j<npsf; j++)
            {
              deltaxb[j] = deltax[j];
              deltayb[j] = deltay[j];
              fluxb[j] = flux[j];
              fluxerrb[j]=fluxerr[j];
            }
        }
    }
  npsf=npsf-1-kill;

/* Now keep only fitted stars that fall within the current detection area */
  i = 0;
  for (j=0; j<npsf; j++)
    {      
      x = (int)(deltaxb[j]+0.4999)+width/2;
      y = (int)(deltayb[j]+0.4999)+height/2;
      if (x<0 || x>=width || y<0 || y>=height)
        continue;
      if (weight[y*width+x] < 1/BIG)
        continue;
      if (10*fluxb[j]<fluxb[0] )
        continue;
      if (fluxb[j]<=0 )
        continue; 

      if (FLAG(obj2.poserrmx2_psf))
        compute_poserr(j,covmat,sol,obj2,x2,y2,xy, npsf);
      
      deltax[i] = deltaxb[j];
      deltay[i] = deltayb[j];
      flux[i] = fluxb[j];
      fluxerr[i++] = fluxerrb[j];
    }

  npsf = i;

  /* Compute chi2 if asked to 
  if (FLAG(obj2.chi2_psf))
    {
      for (j=0; j<npsf; j++)
        {
          chi2 = 0.0;
          for (d=data,w=weight,p=0; p<npix; w++,p++)
            {
              pix = *(d++);
              pix -=  psfmasks[j][p]*flux[j]**w;
              chi2 += pix*pix;
              if (chi2>1E29) chi2=1E28;
            }
          obj2->chi2_psf = obj->sigbkg>0.?
            chi2/((npix - 3*npsf)*obj->sigbkg*obj->sigbkg):999999;

        }
      
    }*/
 /* Compute relative chi2 if asked to */
    if (FLAG(obj2.chi2_psf))
    {
      for (j=0; j<npsf; j++)
        {
          chi2 = 0.0;
          for (d=data,w=weight,p=0; p<npix; w++,p++)
            {
              pix = *(d++)/flux[j];
              pix -=  psfmasks[j][p]**w;
              chi2 += pix*pix;
              if (chi2>1E29) chi2=1E28;
            }
          obj2->chi2_psf = flux[j]>0?
		chi2/((npix - 3*npsf)*obj->sigbkg*obj->sigbkg):999999;

        }
      
    }
  /* CHECK images */
  if (prefs.check[CHECK_SUBPSFPROTOS] || prefs.check[CHECK_PSFPROTOS])
    for (j=0; j<npsf; j++)
      {
        vignet_resample(psf->maskloc, psf->masksize[0], psf->masksize[1],
                        checkmask, pwidth, pheight,
                        -deltax[j]*pixstep, -deltay[j]*pixstep, pixstep);
        if ((check = prefs.check[CHECK_SUBPSFPROTOS]))
          addcheck(check, checkmask, pwidth,pheight, ix,iy,-flux[j]);
        if ((check = prefs.check[CHECK_PSFPROTOS]))
          addcheck(check, checkmask, pwidth,pheight, ix,iy,flux[j]);
      }

  thepsfit->niter = niter;
  thepsfit->npsf = npsf;
  for (j=0; j<npsf; j++)
    {
      thepsfit->x[j] = ix+deltax[j]+1.0;
      thepsfit->y[j] = iy+deltay[j]+1.0;
      thepsfit->flux[j] = flux[j];
      thepsfit->fluxerr[j] = fluxerr[j];
    }




  /* Now the morphology stuff */
  if (prefs.pc_flag)
    {
      width = pwidth-1;
      height = pheight-1;
      npix = width*height;
      copyimage(field, datah, width, height, ix, iy);

      /*-- Re-compute weights */
      if (wfield)
        {
          copyimage(wfield, weighth, width, height, ix, iy);
          for (wh=weighth ,w=weight, p=npix; p--;)
            *(w++) = (pix=*(wh++))<wthresh? sqrt(pix): 0.0;
        }
      else
        for (w=weight, dh=datah, p=npix; p--;)
          *(w++) = ((pix = *(dh++))>-BIG && pix<satlevel)?
            1.0/sqrt(backnoise2+(pix>0.0?pix/gain:0.0))
            :0.0;

      /*-- Weight the data */
      dh = datah;
      d = data;
      w = weight;
      for (p=npix; p--;)
        *(d++) = *(dh++)*(*(w++));

      pc_fit(psf, data, weight, width, height, ix,iy, dx,dy, npix,
             field->backsig);
    }
  
  
  for (i=0; i<prefs.psf_npsfmax; i++)
    {
      QFREE(psfmasks[i]);
      QFREE(psfmaskx[i]);
      QFREE(psfmasky[i]);
    }

  QFREE(psfmasks);
  QFREE(psfmaskx);
  QFREE(psfmasky);
  QFREE(datah);
  QFREE(data);
  QFREE(data2);
  QFREE(data3);
  QFREE(weighth);
  QFREE(weight);
  QFREE(data);
  QFREE(mat);

  if (prefs.check[CHECK_SUBPSFPROTOS] || prefs.check[CHECK_PSFPROTOS]
      || prefs.check[CHECK_SUBPCPROTOS] || prefs.check[CHECK_PCPROTOS]
      || prefs.check[CHECK_PCOPROTOS])
    {
      QFREE(checkmask);
    }

  return;
}


/******************************** double_psf_fit *******************************
****/
/* double fit to make the psf detection on one image and the photometry on anoth
er */
/*******************************************************************************
****/

void    double_psf_fit(psfstruct *ppsf, picstruct *pfield, picstruct *pwfield,
                       objstruct *obj, psfstruct *psf, picstruct *field, 
                       picstruct *wfield)
{
  static double      /* sum[PSF_NPSFMAX]*/ pdeltax[PSF_NPSFMAX],
    pdeltay[PSF_NPSFMAX],psol[PSF_NPSFMAX], pcovmat[PSF_NPSFMAX*PSF_NPSFMAX], 
    pvmat[PSF_NPSFMAX*PSF_NPSFMAX], pwmat[PSF_NPSFMAX],pflux[PSF_NPSFMAX],
    pfluxerr[PSF_NPSFMAX];

    double *pmat,
     *pm, /* *pps,  *px, *py,*/
    dx,dy,pdx,pdy, /* x1,y1, mx,my,mflux, */
    val, ppix,ppix2, /* dflux, */
    gain, radmin2,radmax2,satlevel
    ,chi2,pwthresh,pbacknoise2, /* mr, */
    r2=0, psf_fwhm,ppsf_fwhm ;
  float         **ppsfmasks, **ppsfmaskx,**ppsfmasky, *pps;
  float         *pdata, *pdata2, *pdata3, *pweight, *pd, *pw, 
		*pdh, *pwh, pixstep,ppixstep;
  PIXTYPE       *pdatah, *pweighth;
  int                   i,j,k,p, npsf, npix,ix,iy,
    width, height, /* hw,hh, */
    x,y, /* yb, */
    wbad, gainflag,
    ival,npsfmax;
  double *pvar;
  
    static obj2struct   *obj2 = &outobj2;

  pdx = pdy =dx = dy = 0.0;
  ppixstep = 1.0/ppsf->pixstep;
  pixstep = 1.0/psf->pixstep;
  gain = (field->gain >0.0? field->gain: 1e30);
  npsfmax=prefs.psf_npsfmax;
  pbacknoise2 = pfield->backsig*pfield->backsig;
  satlevel = field->satur_level - obj->bkg;
  gainflag = prefs.weightgain_flag;
  psf_fwhm = psf->fwhm*psf->pixstep;
  ppsf_fwhm = ppsf->fwhm*ppsf->pixstep;
  pwthresh = pwfield?pwfield->weight_thresh:BIG;

  /* Initialize outputs */
  ppsfit->niter = 0;
  ppsfit->npsf = 0;
  for (j=0; j<npsfmax; j++) 
    {
      ppsfit->x[j] = 999999.0;
      ppsfit->y[j] = 999999.0;
      ppsfit->flux[j] = 0.0;
      ppsfit->fluxerr[j] = 0.0;
      pdeltax[j]= pdeltay[j]=psol[j]= pwmat[j]=pflux[j]=pfluxerr[j]=0.0;
   
    }

  ix = (obj->xmax+obj->xmin+1)/2;
  iy = (obj->ymax+obj->ymin+1)/2;
  width = obj->xmax-obj->xmin+1+psf_fwhm;
  if (width < (ival=(int)(psf_fwhm*2)))
    width = ival;
  height = obj->ymax-obj->ymin+1+psf_fwhm;
  if (height < (ival=(int)(psf_fwhm*2)))
    height = ival;
  npix = width*height;
  radmin2 = PSF_MINSHIFT*PSF_MINSHIFT;
  radmax2 = npix/2.0;
  psf_fit(psf,field, wfield,obj);
  npsf=thepsfit->npsf;
  
  QMALLOC(ppsfmasks,float *,npsfmax);
  QMALLOC(ppsfmaskx,float *,npsfmax);
  QMALLOC(ppsfmasky,float *,npsfmax);

  for (i=0; i<npsfmax; i++)
    {
      QMALLOC(ppsfmasks[i],float,npix);
      QMALLOC(ppsfmaskx[i],float,npix);
      QMALLOC(ppsfmasky[i],float,npix);
    }

  QMALLOC(pweighth, PIXTYPE, npix);
  QMALLOC(pweight, float, npix);
  QMALLOC(pdatah, PIXTYPE, npix);
  QMALLOC(pdata, float, npix);
  QMALLOC(pdata2, float, npix);
  QMALLOC(pdata3, float, npix);
  QMALLOC(pmat, double, npix*npsfmax);
  
   for (j=0; j<npsf; j++)
    {
      pdeltax[j] =thepsfit->x[j]-ix-1 ;
      pdeltay[j] =thepsfit->y[j]-iy-1 ;
      ppsfit->flux[j] = 0;
      ppsfit->fluxerr[j] = 0;
    }

/*-------------------  Now the photometry fit ---------------------*/
  copyimage(pfield, pdatah, width, height, ix, iy);
   /* Compute photometry weights */
  wbad = 0;
  if (pwfield)
    {
       copyimage(pwfield, pweighth, width, height, ix, iy);
      for (pwh=pweighth, pw=pweight, pdh=pdatah,p=npix; p--;)
        {
        if ((ppix=*(pwh++)) < pwthresh && ppix>0
            && (ppix2=*(pdh++))>-BIG  && ppix2<satlevel)
          {
            *(pw++) = 1/sqrt(ppix+(ppix2>0.0?
			(gainflag? ppix2*ppix/pbacknoise2:ppix2)/gain : 0.0));
          }
      else
          {
            *(pw++) = 0.0;          
            wbad++;
          }
        }
    }
  else
    for (pw=pweight, pdh=pdatah, p=npix; p--;)
      if ((ppix=*(pdh++))>-BIG && ppix<satlevel)
          {
            *(pw++) = 1.0/sqrt(pbacknoise2+(ppix>0.0?ppix/gain:0.0));
          }
      else
        {
          *(pw++) = 0.0;
          wbad++;
        }
  /* Special action if most of the weights are zero!! */
  if (wbad>=npix-3)
    return;

  /* Weight the data */
  pdh = pdatah;
  pd = pdata;
  pw = pweight;
  val = obj->dbkg;
  for (p=npix; p--;)
    *(pd++) = (*(pdh++)-val)**(pw++);

 
  /* Get the photmetry PSF */
   psf_build(ppsf);
  for (j=1; j<=npsf; j++)
    {
      if (j>1)
        {
          /*---- Subtract //previously fitted components in photometry image */
          pd = pdata2;
          pdh = pdatah;
          for (p=npix; p--;)
            *(pd++) = (double)*(pdh++);
          for (k=0; k<j-1; k++)
            {
              pd = pdata2;
              pps = ppsfmasks[k];
              for (p=npix; p--;)
                *(pd++) -= pflux[k]**(pps++);
            }
          convolve_image(pfield, pdata2, pdata3, width,height);
         /*---- Ignore regions too close to stellar cores */
          for (k=0; k<j-1; k++)
            {
              pd = pdata3;
              dy = -((double)(height/2)+pdeltay[k]);
              for (y=height; y--; dy += 1.0)
                {
                  dx = -((double)(width/2)+pdeltax[k]);
                  for (x=width; x--; dx+= 1.0, pd++)
                    if (dx*dx+dy*dy<r2) /*?*/
                      *pd = -BIG;
                }
            } 
        }
   
      pm=pmat;
      for (k=0; k<j; k++)
            {
              /*------ Resample the PSFs here for the 1st iteration */
              vignet_resample(ppsf->maskloc,
			ppsf->masksize[0], ppsf->masksize[1],
			ppsfmasks[k], width, height,
			-pdeltax[k]*ppixstep, -pdeltay[k]*ppixstep,
			ppixstep);              
              pm=compute_gradient_phot(pweight,width,height, ppsfmasks[k],pm);
            }
      
      svdfit(pmat, pdata, npix, j, psol, pvmat, pwmat);  
      compute_pos_phot( &j, psol,pflux);
   
  for (k=0; k<j; k++)
        {
          svdvar(pvmat, pwmat, j, pcovmat);
          pvar = pcovmat;
          pfluxerr[k]= sqrt(*pvar)>0.0 && sqrt(*pvar)<99? 
            sqrt(*pvar):99;
        }
    }
  /* Compute chi2 if asked to 
  if (FLAG(obj2.chi2_psf))
    {
      for (j=0; j<npsf; j++)
        {
          chi2 = 0.0;
          for (pd=pdata,pw=pweight,p=0; p<npix; pw++,p++)
            {
              ppix = *(pd++);
              ppix -=  ppsfmasks[j][p]*pflux[j]**pw;
              chi2 += ppix*ppix;
              if (chi2>1E29) chi2=1E28;
            }
          obj2->chi2_psf = obj->sigbkg>0.?
            chi2/((npix - 3*npsf)*obj->sigbkg*obj->sigbkg):999999;

        }
      
    }
 */
 /* Compute relative error if asked to */
  if (FLAG(obj2.chi2_psf))
  {
      for (j=0; j<npsf; j++)
        {
          chi2 = 0.0;
          for (pd=pdata,pw=pweight,p=0; p<npix; pw++,p++)
            {
              ppix = *(pd++)/pflux[j];
              ppix -=  ppsfmasks[j][p]**pw;
              chi2 += ppix*ppix;
              if (chi2>1E29) chi2=1E28;
            }
          obj2->chi2_psf = pflux[j]>0?
		chi2/((npix - 3*npsf)*obj->sigbkg*obj->sigbkg):999999;

        }
      
    }
  ppsfit->niter = thepsfit->niter;
  ppsfit->npsf = npsf;

  for (j=0; j<npsf; j++)
    {
      thepsfit->x[j] = ix+pdeltax[j]+1.0;
      thepsfit->y[j] = iy+pdeltay[j]+1.0;
      thepsfit->flux[j] = pflux[j];
      thepsfit->fluxerr[j] = pfluxerr[j];
      ppsfit->x[j] = ix+pdeltax[j]+1.0;
      ppsfit->y[j] = iy+pdeltay[j]+1.0;
      ppsfit->flux[j] = pflux[j];
      ppsfit->fluxerr[j] = pfluxerr[j];
    }
    
  
  for (i=0; i<npsfmax; i++)
    {
      QFREE(ppsfmasks[i]);
      QFREE(ppsfmaskx[i]);
      QFREE(ppsfmasky[i]);
    }

  
  QFREE(ppsfmasks);
  QFREE(ppsfmaskx);