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mimosa_genfit_psf.f90
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!************************************************
! PSF FIT MODULES : DECLARATIONS AND INTERFACES
!************************************************
!****************************
MODULE IBIS_PSF_AUX
!****************************
INTERFACE
SUBROUTINE IBIS_PSF_MINIMIZE(Status)
!------------------------------------
INTEGER :: Status
END SUBROUTINE IBIS_PSF_MINIMIZE
SUBROUTINE IBIS_PSF_HESSIAN(status)
!------------------------------------
IMPLICIT NONE
INTEGER :: Status
END SUBROUTINE IBIS_PSF_HESSIAN
END INTERFACE
!****************************
END MODULE IBIS_PSF_AUX
!****************************
!*********************
MODULE FIT_PSF_MODULE
!********************
INTERFACE
SUBROUTINE PSF_FIT(FixedPerm,inCatNumber,SKYCLE,VAR,FILTER, xc,yc,xs,ys,&
fitflux,locerr,chi2red,Status)
!-------------------------------------------------------------------
IMPLICIT NONE
! INPUT/OUTPUT VARIABLES
REAL(kind=4) ,dimension(:,:),pointer :: SKYCLE,VAR
LOGICAL ,dimension(:,:),pointer :: Filter
REAL(kind=8) :: xc,yc ! fit centre
REAL(kind=8) :: xs,ys ! source fit position
REAL(kind=8) :: fitflux,locerr,chi2red
INTEGER :: FixedPerm,inCatNumber,Status
END SUBROUTINE PSF_FIT
END INTERFACE
!*********************
END MODULE FIT_PSF_MODULE
!********************
!*********************
MODULE PSF_FIT_SUB_MODULE
!********************
INTERFACE
!PSF FIT SUBROUTINES
SUBROUTINE IBIS_PSF_INITMINI(FixedPerm,IncatNumber,SKY,VAR,sources_to_fit,xc,yc,xs,ys,print)
!-------------------------------------------------------------------
IMPLICIT NONE
! Parameter
REAL (kind=4), dimension(:,:), pointer :: SKY,VAR
INTEGER :: FixedPerm,IncatNumber,sources_to_fit
REAL (kind=8),dimension(sources_to_fit) :: xs,ys
REAL (kind=8) :: xc,yc
INTEGER :: print
END SUBROUTINE IBIS_PSF_INITMINI
SUBROUTINE IBIS_PSF_FIT_MINIMAP(sources_to_fit,xs,ys,fitflux,locerr,Status)
!-------------------------------------------------------------------------
IMPLICIT NONE
INTEGER :: sources_to_fit
REAL (kind=8),dimension(sources_to_fit) :: xs,ys
REAL (kind=8),dimension(sources_to_fit) :: fitflux,locerr
INTEGER :: Status
END SUBROUTINE IBIS_PSF_FIT_MINIMAP
END INTERFACE
!*************************
END MODULE PSF_FIT_SUB_MODULE
!*************************
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
! PSF FIT PROCEDURES CODE
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
!======================================================================
SUBROUTINE PSF_FIT(FixedPerm,inCatNumber,SKYCLE,VAR,FILTER,xc,yc,xs,ys,&
fitflux,locerr,chi2red,Status)
!======================================================================
USE ISDC
USE MIMOSA_CONTROL_MODULE
USE MIMOSA_GLOBVAR_MODULE
USE MIMOSA_USE_MODULE
USE FIT_PAR_MODULE
USE PSF_FIT_SUB_MODULE
IMPLICIT NONE
! INPUT/OUTPUT VARIABLES
REAL(kind=4) ,dimension(:,:),pointer :: SKYCLE,VAR
LOGICAL ,dimension(:,:),pointer :: Filter
REAL(kind=8) :: xc,yc ! fit centre
REAL(kind=8) :: xs,ys ! source fit position
REAL(kind=8) :: fitflux,locerr,chi2red
INTEGER :: FixedPerm,inCatNumber,Status,result
!LOCAL VARIABLES
LOGICAL :: jestpeak
REAL(kind=8) ,dimension(:),pointer :: fitfluxtab,locerrtab,xfit,yfit
REAL(kind=8) :: snrmax
INTEGER :: iok,icsky,jcsky,idim,jdim,imax,jmax
CHARACTER(len=20) :: procName = 'FIT_PSF'
Status = 0
result = 0
ALLOCATE(xfit(1),yfit(1),locerrtab(1),fitfluxtab(1),stat = iok)
IF (iok /= 0) then
call MESSAGE(procName,'Allocation problem',AllocError,Status)
return
endif
fitfluxtab(:) = 0.
locerrtab(:) = 0.
xfit(1) = xc
yfit(1) = yc
! FITTING to get 1 fine source location :xs,ys
CALL IBIS_PSF_INITMINI(FixedPerm,inCatNumber,SKYCLE,VAR,1,xc,yc,xfit,yfit,DebugMode)
CALL Ibis_Psf_Fit_MiniMap(1,xfit,yfit,fitfluxtab,locerrtab,Status)
if(Status.ne.0)then
result = 1
Status = ISDC_OK
xs = xc;ys = yc
fitflux = skycle(nint(xs),nint(ys))-rmean
locerr = 0.
else
xs = xfit(1)
ys = yfit(1)
fitflux = fitfluxtab(1)
locerr = locerrtab(1)
endif
if(.not.FILTER(nint(xs),nint(ys)))then ! forbidden zone
call WAR_MESSAGE(procName,&
'Fit in forbidden zone - reset',0,Status)
result = 1
xs = xc
ys = yc
endif
chi2red = spchisq
if(result==1)then !bad first fit result
call resid(xc,yc,jestpeak,imax,jmax,snrmax)
if(jestpeak)then ! unusual peak in resmap
idim = size(SkyCle,1)
jdim = size(SkyCle,2)
icsky = (idim+1)/2
jcsky = (jdim+1)/2
!two source fit
DEALLOCATE(xfit,yfit,locerrtab,fitfluxtab)
ALLOCATE(xfit(2),yfit(2),locerrtab(2),fitfluxtab(2),stat = iok)
IF (iok /= 0) then
call MESSAGE(procName,'Allocation problem',AllocError,Status)
return
endif
fitfluxtab(:) = 0.
locerrtab(:) = 0.
xfit(1) = xc
yfit(1) = yc
! second_peak
xfit(2) = imax
yfit(2) = jmax
CALL IBIS_PSF_INITMINI(FixedPerm,inCatNumber,SKYCLE,VAR,2,xc,yc,xfit,yfit,DebugMode)
CALL Ibis_Psf_Fit_MiniMap(2,xfit,yfit,fitfluxtab,locerrtab,Status)
if(Status.eq.0)then
chi2red = spchisq
xs = xfit(1); ys = yfit(1)
locerr = locerrtab(1); fitflux = fitfluxtab(1)
else
call WAR_MESSAGE(procName,&
' Failure of PSF fit procedure ',1,Status)
endif
endif ! unusual peak in resmap
endif !res==0
DEALLOCATE(xfit,yfit,locerrtab,fitfluxtab)
CONTAINS
!.........................................
subroutine resid(xc,yc,jest,imax,jmax,snrmax)
!.........................................
USE FIT_PAR_MODULE
IMPLICIT NONE
Logical :: jest
INTEGER :: imax,jmax
REAL(kind=8) ::xc,yc
REAL(kind=8) ::mean,absmean,dev,snr,snrmax
INTEGER :: i,j,idim,jdim
idim = imapmax-imapmin+1
jdim = jmapmax-jmapmin+1
mean = sum(resmap)/idim/jdim
dev = 0.
do i=imapmin,imapmax
do j=jmapmin,jmapmax
dev = dev+ (resmap(i,j)-mean)**2
enddo
enddo
dev = sqrt(dev/idim/jdim)
absmean = sum(abs(resmap(imapmin:imapmax,jmapmin:jmapmax)))/idim/jdim
jest = .false.
snrmax = 0.
do i=imapmin,imapmax
do j=jmapmin,jmapmax
snr = (resmap(i,j)-mean)/dev
if(snr > 6.)then
if(snr > snrmax)then
snrmax = snr
imax = i
jmax = j
endif
jest = .true.
endif
enddo
enddo
if(jest)then
i = idim/2
j = jdim/2
imax = xc-i+imax-1
jmax = yc-j+jmax-1
endif
!.........................................
end subroutine resid
!.........................................
!======================
END SUBROUTINE PSF_FIT
!======================
!#####################################
! SUBROUTINES FROM PSF_FIT_SUB_MODULE
!#####################################
!|| --------------------------------------------------------------------------
!|| SUB IBIS_PSF_INITMINI 1.2
!||
!|| SUB IBIS_PSF_INITMINI(SKY,VAR,xc,yc,xs,yc)
!||
!|| Initialise values for minimization and prepare minicarte
!|| Values/minicarte are stored in variables of the module
!|| IBIS_PSF_FIT_PAR
!||
!|| Input:
!|| SKY R4 Array Poi Sky image
!|| VAR R4 Array Poi Variance image
!|| xc,yc R4 Center of minimap in sky coord.
!|| xs,ys R4 Input source position in sky coord.
!||
!|| History:
!|| 1.2 - 21/09/00 AG : C, dbStaSpRe, dbw defined before, change name
!|| from INITMINI2
!|| 1.1 - 31/08/00 AG : C, include iDetTyp to allow PICSIT psf fit,
!|| explicit type of R8 variab/values
!||
!|| --------------------------------------------------------------------------
!======================================================
SUBROUTINE IBIS_PSF_INITMINI(FixedPerm,IncatNumber,SKY,VAR,&
sources_to_fit,xc,yc,xs,ys,print)
!======================================================
USE MIMOSA_CONTROL_MODULE
USE MIMOSA_GLOBVAR_MODULE
USE MIMOSA_USE_MODULE
USE FIT_PAR_MODULE
USE COMMON_PAR
IMPLICIT NONE
! Parameter
REAL (kind=4), dimension(:,:), pointer :: SKY,VAR
INTEGER :: FixedPerm,IncatNumber,sources_to_fit
REAL (kind=8),dimension(sources_to_fit) :: xs,ys
REAL (kind=8) :: xc,yc
INTEGER :: print
! LOCAL VARIABLES
INTEGER :: isky,jsky,iexfov,isx,jsx,jfitdim
INTEGER :: ns,ncomp,i,j,l,k,ki,lj,ifgx,ifgy,ieqspre
REAL (kind=8) :: xcsky,ycsky,varia
REAL (kind=8) :: dbStaSpRe
method = 1
f04asfprint = print
isky=SIZE(SKY,1)
jsky=SIZE(SKY,2)
xcsky=REAL(isky+1)/2.
ycsky=REAL(jsky+1)/2.
! SOME PARAMETERS and initializations
! Double Precision STArting SPatial REsolution
! (~ 0 for perfect binning, ~ 0.4 for ISGRI, ~ 0.2 for Picsit)
dbStaSpRe = 0.01D00
IF (iDetTyp > 0) dbStaSpRe = 0.430D00 / DBLE(iDetTyp)
!! dbw=2.435D00/DBLE(iDetTyp)
IF (dbw == 0.D00) dbw=2.435D00
fitmap=0.
error=0.
! FINE DEC PSF
iexfov=1
idec=-1
! INPUTS
ifitdim = mapdim
jfitdim = mapdim
if(ifitdim.gt.mapdim)then
!!$ print*,' Fit region too big :',&
!!$ ifitdim,' Size set to max :',mapdim
ifitdim=mapdim
endif
if(jfitdim.gt.mapdim)then
!!$ print*,' Fit region too big :',&
!!$ jfitdim,' Size set to max :',mapdim
jfitdim=mapdim
endif
! Values of variance and error at minimap center (not at source position !)
isx=NINT(xc)
jsx=NINT(yc)
if(iexfov.eq.1)then
varia=VAR(isx,jsx)
error=SNGL(DSQRT(DBLE(varia)))
endif
! WRITE IMAGE SECTOR IN THE ARRAY FITMAP
ifd2=ifitdim/2
jfd2=jfitdim/2
ifgx=isx-ifd2
ifgy=jsx-jfd2
k=ifgx-1
l=ifgy-1
do i=1,ifitdim
ki=k+i
do j=1,jfitdim
lj=l+j
fitmap(i,j)=SKY(ki,lj)
varmap(i,j)=VAR(ki,lj)
enddo
enddo
! COORDINATES X0 Y0
x00=REAL(ifgx-1)
y00=REAL(ifgy-1)
! PIXEL COORDINATES OF THE TELESCOPE AXIS :
if(idec.eq.-2)then
xta=xcsky-0.5
yta=ycsky-0.5
elseif(idec.eq.-1)then
xta=xcsky
yta=ycsky
endif
!! print*,' Source',isx,jsx,SKY(isx,jsx),error,x00,y00,ifgx,&
!! (k+ifitdim),ifgy,(l+ifitdim)
! DEFINITION OF TOTAL SPSF
nsouf = sources_to_fit
PSFP(:,:) = 0.
! Enter Bkg Level (cts/pix)
PSFP(1,1) = 0.D0
PSFP(1,2) = 1.D0
ieqspre=0
do ns=1,nsouf
ncomp=(ns-1)*3+1
! Enter photon index (> 0)
spin(ns) = 0.
! Enter Starting Y T.A. Pos.
PSFP(ncomp+2,1) = xs(ns)
PSFP(ncomp+2,1) = PSFP(ncomp+2,1)-x00
PSFP(ncomp+2,2) = 1.D0
! Enter Starting Z T.A. Pos.
PSFP(ncomp+3,1) = ys(ns)
PSFP(ncomp+3,1) = PSFP(ncomp+3,1)-y00
PSFP(ncomp+3,2) = 1.D0
if((ns==1).and.(FixedPerm==1))then
! only first sou pos can be fixed
! and permission to fix
! not for model
if(FitPosFixed)then
PSFP(ncomp+2:ncomp+3,2) = 0.0
! all source positions fixed
else
if(inCatNumber > 0)then
!catalog source
if(IncatFixed(InCatNumber))then
PSFP(ncomp+2:ncomp+3,2) = 0.0
endif
endif
endif
endif ! only first sou pos can be fixed
! Enter Starting Source Intensity
PSFP(ncomp+1,1) = 0.D0
PSFP(ncomp+1,2) = 1.D0
if(spin(ns).eq.0)ieqspre=1
enddo
if(ieqspre.eq.1)then
! Starting Resolution (sigma in pix) ==> ',$)
PSFP((nsouf*3+2),1) = dbStaSpRe
PSFP((nsouf*3+2),2) = 1
endif
! Confidence level for error estimation
confl= 0.683
np = 1
!=================================
END SUBROUTINE IBIS_PSF_INITMINI
!=================================
!|| --------------------------------------------------------------------------
!|| SUB IBIS_PSF_FIT_MINIMAP 1.1
!||
!|| SUB IBIS_PSF_FIT_MINIMAP
!||
!|| Description:
!|| Fit of a minimap
!||
!|| Input:
!|| Input and output in variable of module IBIS_PSF_FIT_PAR
!||
!|| Dependencies:
!|| Variable must be deifned for example by a call of INITMINI
!||
!|| Sub-History :
!|| 1.1 - 21/09/00 AG : C, iPsfTest
!|| 1.0 ibis_decon1 02/09/99-AG : C, correct mask/reg error, iPsfTest
!||
!|| --------------------------------------------------------------------------
!=========================================================================
SUBROUTINE IBIS_PSF_FIT_MINIMAP(sources_to_fit,xs,ys,fitflux,locerr,Status)
!========================================================================
USE MIMOSA_CONTROL_MODULE
USE MIMOSA_GLOBVAR_MODULE
USE MIMOSA_USE_MODULE
USE FIT_PAR_MODULE
USE IBIS_PSF_AUX
IMPLICIT NONE
INTEGER :: sources_to_fit
REAL (kind=8),dimension(sources_to_fit) :: xs,ys
REAL (kind=8),dimension(sources_to_fit) :: fitflux,locerr
INTEGER :: Status
! Local variables
REAL (kind=8) :: fsumsq, bestchi
INTEGER :: i,j,ncomp,ns,ieqspre
Status = 0
! CHECK STARTING POINT
IF (iPsfTest == 10) THEN
ieqspre=0
print*,''
print*,' Starting parameters and freedom :'
ncomp=1
write(6,1020) ncomp, PSFP(1,1), INT(PSFP(1,2))
do ns=1,nsouf
ncomp=(ns-1)*3+1
do i=1,3
write(6,1020)(ncomp+i),PSFP(ncomp+i,1),INT(PSFP(ncomp+i,2))
enddo
if(spin(ns).eq.0)ieqspre=1
enddo
ncomp=nsouf*3+2
if(ieqspre.eq.1)then
write(6,1020) ncomp,PSFP(ncomp,1),INT(PSFP(ncomp,2))
endif
1020 FORMAT(2X,' Parameter N.',I3,' :',E15.6,' Free (1=y 0=n) :',I3)
ENDIF
! FILL THE DOUBLE PRECISION MINIMAP ARRAY
imapmin = 1
imapmax = ifitdim
jmapmin = 1
jmapmax = ifitdim
! MINIMIZATION
CALL IBIS_PSF_MINIMIZE(Status)
If(Status.ne.0)return
fsumsq=spchisq*dof
bestchi=fsumsq
! Model in psfmap
do j=1,ifitdim
do i=1,ifitdim
psfmap(i,j)=(fitmap(i,j)-resmap(i,j)*error)
enddo
enddo
! ERRORS IN THE ASSUMPTION OF QUADRATIC APPROXIMATION AND USING THE PSF
! FOR DELTA-DECODING
CALL IBIS_PSF_HESSIAN(Status)
If(Status.ne.0)return
! RESULT OF FIT
IF (iPsfTest == 10) THEN
print*,' Best fit parameters :'
ncomp=1
write(6,1020) ncomp,PSFP(1,1),INT(PSFP(1,2))
do ns=1,nsouf
ncomp=(ns-1)*3+1
do i=1,3
write(6,1020)(ncomp+i),PSFP(ncomp+i,1),INT(PSFP(ncomp+i,2))
enddo
enddo
ncomp=nsouf*3+2
if(ieqspre.eq.1)then
write(6,1020) ncomp,PSFP(ncomp,1),INT(PSFP(ncomp,2))
endif
fsumsq=spchisq*dof
print*,' Fit par. (iter,ndof,nparm,fsumsq,rchisq):',&
iter,INT(dof),(nparm+lparm),fsumsq,spchisq
!CALL IBIS_PSF_OUTPUT
ENDIF
if(RawFitFluxVerif)then
if(PSFP(2,1) < maxval(fitmap(ifd2-2:ifd2+2,jfd2-2:ifd2+2)))then
! filled flux too low
status = 15
return
endif
endif
do ns=1,nsouf
xs(ns)=SNGL(PSFP(3,ns))+x00
ys(ns)=SNGL(PSFP(4,ns))+y00
fitflux(ns)=SNGL(PSFP(2,ns))
locerr(ns)=SQRT(SNGL(PSFE(3,ns))**2 + SNGL(PSFE(4,ns))**2)
enddo
!==================================
END SUBROUTINE IBIS_PSF_FIT_MINIMAP
!==================================
!#############################################
! PSF FIT, PROCEDURES FROM IBIS_PSF_AUX MODULE
!#############################################
!|| --------------------------------------------------------------------------
!|| SUB IBIS_PSF_MINIMIZE 1.1
!||
!|| SUB IBIS_PSF_MINIMIZE
!||
!|| Perform minimization
!|| Input /output stored in variables of the module
!|| IBIS_PSF_FIT_PAR
!||
!|| Input:
!||
!||
!|| History:
!|| 1.1 - 21/09/00 AG : C
!||
!||
!|| --------------------------------------------------------------------------
!==================================
SUBROUTINE IBIS_PSF_MINIMIZE(Status)
!==================================
USE FIT_PAR_MODULE
IMPLICIT NONE
INTEGER :: Status
! Local parameters and arrays
INTEGER ,parameter :: liw=mnnlpar+2, lw=MAX0((liw-2)*(liw-3)/2+12*liw,13)
REAL (kind=8), parameter :: bulim=15.D00, bllim=0.05D00
INTEGER :: iw(liw)
REAL (kind=8) :: xx(mnnlpar),ww(lw)
! Local variables
INTEGER :: ns,ncomp,i,ifail,ndof,ieqspre,idiffuse,ibound
REAL (kind=8) :: fsumsq, rchisq
Status = 0
! Bound type for non-linear parameters: individual bounds given in bl & bu
ibound=0
! Number of free linear & non linear parameters and set xx
nparm=0
lparm=0
if(PSFP(1,2).eq.1)lparm=lparm+1
ieqspre=0
do ns=1,nsouf
ncomp=1+(ns-1)*3
if(spin(ns).eq.0)ieqspre=1
! Intensity
if(PSFP(ncomp+1,2).eq.1)lparm=lparm+1
! Non linear parameters: position
do i=2,3
if(PSFP(ncomp+i,2).eq.1)THEN
nparm=nparm+1
xx(nparm)=PSFP(ncomp+i,1)
bl(nparm)=DBLE(imapmin)
bu(nparm)=DBLE(imapmax)
endif
enddo
enddo
! Non linear parameters: spatial resolution
if(ieqspre.eq.1)THEN
ncomp=3*nsouf+2
if(PSFP(ncomp,2).eq.1)THEN
nparm=nparm+1
xx(nparm)=PSFP(ncomp,1)
bl(nparm)=bllim
bu(nparm)=bulim
endif
endif
! Linear param: Diffuse component
ncomp=3*nsouf+3
IF (PSFP(ncomp,2).EQ.1) THEN
lparm=lparm+1
idiffuse=1
ENDIF
iter = 0
fsumsq = 0.D0
! Degrees of freedom
ndof = (imapmax-imapmin+1)*(jmapmax-jmapmin+1)-nparm-lparm
! NAG Routine for minimization: call FUNCT1 for model
f04asfresult= 0
ifail = -1
call X04aaf(1,-1)
call X04ABF(1,-1)
CALL E04JAF(nparm,ibound,bl,bu,xx,fsumsq,iw,liw,ww,lw,ifail)
!! if(ifail.ne.0)print*,'Minimization Terminated with IFAIL =',ifail
f04asfresult = ifail
if(f04asfresult.ne.0)then
Status = 1
return
endif
CALL FUNCT1(nparm,xx,fsumsq)
if(f04asfresult.ne.0)then
Status = 1
return
endif
rchisq = fsumsq / DBLE(ndof)
!c print*,' Best fit values (non-lin):'
!c print*,xx
!c print*,' Fit parameters (iter,ndof,nparm,fsumsq,rchisq): '
!c print*,iter,ndof,(nparm+lparm),fsumsq,rchisq
!c print*,''
dof= REAL(ndof)
spchisq= SNGL(rchisq)
!===============================
END SUBROUTINE IBIS_PSF_MINIMIZE
!================================
!|| --------------------------------------------------------------------------
!|| SUB IBIS_PSF_HESSIAN 1.0
!||
!|| SUB IBIS_PSF_HESSIAN
!||
!|| Description:
!|| Computation of the Hessian of the chisquare to determine
!|| errors in the quadratic approximation
!|| It is assumed that H=Jt*J where Jt is the transposte of J and J the
!|| Jacobian of the residuals
!|| Functional form of PSF used is the delta decoding PSF
!||
!|| Sub-History :
!|| 1.0 - 21/09/00 AG : C,
!|| 0.0 02/09/99 - AG : iw
!||
!|| --------------------------------------------------------------------------
!===================================
SUBROUTINE IBIS_PSF_HESSIAN(status)
!===================================
USE FIT_PAR_MODULE
USE PSF_SUB
IMPLICIT NONE
INTEGER :: Status
! Local parameters and arrays
INTEGER, parameter :: nmax=mnpar,ip=nmax,m=mapdim*mapdim
REAL (kind=8) :: DJB(nmax,m),HINV(nmax,ip),H(nmax,ip)
!! DIMENSION WSP(ip)
REAL (kind=8) :: PSFX(mapdim),PSFY(mapdim),DERX(mapdim),DERY(mapdim)
REAL (kind=8) :: DERSX(mapdim),DERSY(mapdim)
! Local variables
INTEGER :: ns,ncomp,i,j,k,ifail
INTEGER (kind=8) :: inc,nnc,n1,n2,ich
REAL (kind=8) :: x,y,dxc,dyc,sig,dbwei
INTEGER :: idim,imin1,ntpar,nsigp,l0,l,kmax,iw
REAL (kind=8) :: derror,cur
REAL (kind=8) :: G01FCF,G01ECF
REAL (kind=8) :: deltachi,prob
REAL (kind=8) :: ddiffuse(mapdim,mapdim)
Status = 0
! Test variable
iw=0
! Error
derror=DBLE(error)
if(IABS(idec).eq.1)derror=DSQRT(derror*derror/(dbw*dbw))
ddiffuse = 0.
idim=imapmax-imapmin+1
imin1=imapmin-1
ntpar=nparm+lparm
if(PSFP(3*nsouf+2,2).EQ.1)nsigp=ntpar
DO j=jmapmin,jmapmax
l0=(j-jmapmin)*idim-imin1
DO i=imapmin,imapmax
l=l0+i
do k=1,ntpar
DJB(k,l)=0.
enddo
enddo
enddo
inc=0
DO nnc=1,(nsouf+1)
ns=nnc-1
ncomp=IABS(2+(ns-1)*3)
! CALCUL of Jacobian DJB
if(ns.eq.0)then
IF(PSFP(1,2).EQ.1)THEN
inc=inc+1
DO j=jmapmin,jmapmax
l0=(j-jmapmin)*idim-imin1
DO i=imapmin,imapmax
l=l0+i
DJB(1,l)= 1./derror
ENDDO
ENDDO
ENDIF
elseif(ns.ge.1)then
dxc=PSFP(ncomp+1,1)
dyc=PSFP(ncomp+2,1)
if(spin(ns).ne.0)then
n1=i1
n2=i2
else
n1=1
n2=1
sig=PSFP((nsouf*3+2),1)
dbwei=1.D00
endif
DO ICH=n1,n2
if(spin(ns).ne.0)then
sig=DBLE(SIGSI(ich))
dbwei=DBLE(weig(ich,ns))
endif
DO i = imapmin,imapmax
x=DBLE(i)
psfx(i) = psfd(x,dxc,sig,dbw)
derx(i) = derpsf(x,dxc,sig,dbw)
if(spin(ns).eq.0)dersx(i) = dersig(x,dxc,sig,dbw)
ENDDO
DO j = jmapmin,jmapmax
y=DBLE(j)
psfy(j) = psfd(y,dyc,sig,dbw)
dery(j) = derpsf(y,dyc,sig,dbw)
if(spin(ns).eq.0)dersy(j) = dersig(y,dyc,sig,dbw)
ENDDO
DO j = jmapmin,jmapmax
l0=(j-jmapmin)*idim-imin1
DO i = imapmin,imapmax
l=l0+i
k=inc
IF(PSFP(ncomp,2).EQ.1)THEN
k=k+1
DJB(k,l) = DJB(k,l) + DBWEI * &
psfx(i)*psfy(j)/derror
ENDIF
IF(PSFP(ncomp+1,2).EQ.1)THEN
k=k+1
DJB(k,l) = DJB(k,l) + DBWEI * &
PSFP(ncomp,1)*derx(i)*psfy(j)/derror
ENDIF
IF(PSFP(ncomp+2,2).EQ.1)THEN
k=k+1
DJB(k,l) = DJB(k,l) + DBWEI * &
PSFP(ncomp,1)*psfx(i)*dery(j)/derror
ENDIF
IF(PSFP(nsouf*3+2,2).EQ.1)THEN
if(spin(ns).eq.0)then
DJB(nsigp,l) = DJB(nsigp,l) + PSFP(ncomp,1)* &
(psfx(i)*dersy(j)+dersx(i)*psfy(j))/derror
endif
ENDIF
ENDDO
ENDDO
ENDDO
IF(PSFP(ncomp,2).EQ.1)inc=inc+1
IF(PSFP(ncomp+1,2).EQ.1)inc=inc+1
IF(PSFP(ncomp+2,2).EQ.1)inc=inc+1
endif
ENDDO
IF(PSFP(nsouf*3+2,2).EQ.1)inc=inc+1
! Contribution Diffuse
ncomp=3*nsouf+3
IF(PSFP(ncomp,2).EQ.1)THEN
inc=inc+1
DO j=jmapmin,jmapmax
l0=(j-jmapmin)*idim-imin1
DO i=imapmin,imapmax
l=l0+i
DJB(inc,l)=DJB(inc,l)+ddiffuse(i,j)/derror
ENDDO
ENDDO
ENDIF
! CHECK OF THE CALCUL OF DERIVATIVES
!if(inc.ne.ntpar)print*,' Number free parameter wrong !'
!C l0=(j-jmapmin)*idim-imin1
!C DO i=imapmin,imapmax
!C l=l0+i
!C write(6,270) l,(DJB(k,l),k=1,inc)
!C ENDDO
!C ENDDO
!C 270 FORMAT(I5,10D13.6,/)
! Computing Hessian matrix
H=1.D00
kmax = (imapmax-imapmin+1) * (jmapmax-jmapmin+1)
DO j = 1,inc
DO i = 1,j
cur = 0.D0
DO k = 1,kmax
cur = cur + DJB(i,k) * DJB(j,k)
ENDDO
H(i,j) = cur
ENDDO
ENDDO
!C CALL F01CLF(H,DJB,DJB,nmax,ip,m,ifail)
201 FORMAT(10D13.6,/)
!print*,''
!print*,' Hessian matrix : '
!do i=1,inc
! write(*,201)(H(i,j),j=1,inc)
!enddo
! Inversion Hessian Matrix
ifail = 0 ! cholesky factorisation
CALL F07FDF('U',inc,H,nmax,ifail)
Status = ifail
if(Status.ne.0)then
!print *,' not pos-def matrix'
return
endif
HINV= 0.D00
DO i = 1,inc
HINV(i,i) = 1.D0
ENDDO
CALL F07FEF('U',inc,inc,H,nmax,HINV,nmax,ifail)
Status = ifail
if(Status.ne.0)then
!print *,'F07FEF problem '
return
endif
!C CALL F01AAF(H,nmax,inc,HINV,nmax,WSP,ifail)
IF (iw == 1) THEN
print*,''
print*,' Curvature matrix : '
do i=1,inc
write(6,201)(HINV(i,j),j=1,inc)
enddo
print*,''
print*,' Single parameter errors (68.3%) for free parameters: '
print*,(DSQRT(HINV(i,i)),i=1,inc)
print*,''
ENDIF
! prob=1-SNGL(G01ECF('U',DREAL(deltachi),DBLE(np),ifail))
! deltachi=G01CCF(DBLE(confl),np,ifail)
deltachi=SNGL(G01FCF(DBLE(confl),DBLE(np),ifail))
prob= SNGL(G01ECF('L',DBLE(deltachi),DBLE(np),ifail))
IF (iw == 1) THEN
print*,''
print 2,confl,np,deltachi,prob
2 format(1X,' Deltachi at', &
F6.3,' conf. level for ',I3,' param = ',F8.5,' (Prob=',F6.3,')')
ENDIF
! PUT errors in PSFE
inc=0
DO nnc=1,(nsouf+1)
ns=nnc-1
ncomp=IABS(2+(ns-1)*3)
if(ns.eq.0)then
IF(PSFP(1,2).EQ.1)THEN
PSFE(1,1)=DSQRT(HINV(1,1))*DSQRT(DBLE(deltachi))
inc=inc+1
ENDIF
elseif(ns.ge.1)then
do i=1,3
IF(PSFP(ncomp+i-1,2).EQ.1)THEN
inc=inc+1
PSFE(ncomp+i-1,1)=DSQRT(HINV(inc,inc))*DSQRT(DBLE(deltachi))
ENDIF
enddo
endif
enddo
IF(PSFP(nsouf*3+2,2).EQ.1)THEN
inc=inc+1
PSFE(nsouf*3+2,1)=DSQRT(HINV(inc,inc))*DSQRT(DBLE(deltachi))
ENDIF
IF(PSFP(nsouf*3+3,2).EQ.1)THEN
inc=inc+1
PSFE(nsouf*3+3,1)=DSQRT(HINV(inc,inc))*DSQRT(DBLE(deltachi))
ENDIF
!===============================
END SUBROUTINE IBIS_PSF_HESSIAN
!===============================
!##############################################
! PSF FIT; PROCEDURES FROM PSF_FIT_AUX1 MODULE
!###############################################