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!
! photometric calibration
!
! Copyright © 2012-7, 2019-2024 F.Hroch (hroch@physics.muni.cz)
!
! This file is part of Munipack.
!
! Munipack 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.
!
! Munipack 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 Munipack. If not, see <http://www.gnu.org/licenses/>.
!
! Problems:
! * calibration frame is not referenced when a frame is referenced
! to a frame (done)
! * standard deviation has bad value (done)
!
! Adds:
! * Re-design of command line parameters: better defaults to --col-*,
! rename all mags to be VO-compatible (Vmag,e_Vmag). User must specify
! only filter/photometry system (or nothing when filter/phsystem is
! presented in FITS header).
!
program phcal
use titsio
use phsysfits
use mfits
use iso_fortran_env
implicit none
integer, parameter :: dbl = selected_real_kind(15)
character(len=4*FLEN_FILENAME) :: line, key, val
character(len=FLEN_FILENAME), dimension(:), allocatable :: filename, &
output
character(len=FLEN_FILENAME) :: ref = '', cat = '', tratable = '', &
phsystable = 'photosystems.fits'
character(len=FLEN_VALUE), dimension(:), allocatable :: qlabels
character(len=FLEN_VALUE) :: col_ra = FITS_COL_RA, col_dec = FITS_COL_DEC, &
photsys_ref = '', photsys_instr = ''
character(len=FLEN_VALUE), dimension(:), allocatable :: col_mag, col_magerr, &
filters
logical :: verbose = .false., plog = .false., list = .false.
logical :: init_area = .false. , init_photsys = .false.
logical :: cal_manual = .false.
logical :: advanced = .false.
real(dbl) :: utol = -1.0/3600.0
real(dbl) :: area
real(dbl) :: threshold = 0.1
real(dbl) :: maxerr = 0.1
real(dbl) :: apcorr = 1.0_dbl
real(dbl), dimension(:), allocatable :: ctph_manual,dctph_manual
integer :: eq,nfile,n,nmag,nmagerr,nfilters,nctph,saper
character(len=FLEN_KEYWORD), dimension(8) :: keys
integer :: nqlabels
keys = [ character(len=FLEN_KEYWORD) :: FITS_KEY_EXPTIME, FITS_KEY_AREA, &
FITS_KEY_DATEOBS, FITS_KEY_PHOTSYS, FITS_KEY_FILTER, &
FITS_KEY_LONGITUDE, FITS_KEY_LATITUDE, FITS_KEY_TIMEOBS ]
! nqlabels = 7
! qlabels = (/'PHOTRATE','FLUX ','FNU ','FLAM ','MAG ', &
! 'ABMAG ','STMAG '/)
nqlabels = 2
allocate(qlabels(nqlabels))
qlabels = [ character(len=FLEN_VALUE) :: 'FLUX', 'MAG' ]
allocate(col_mag(0), col_magerr(0), filters(0))
allocate(ctph_manual(0), dctph_manual(0))
allocate(filename(0), output(0))
nfilters = 0
nmag = 0
nmagerr = 0
nfile = 0
area = 1
saper = 0
do
read(*,'(a)',end=20) line
eq = index(line,'=')
if( eq == 0 ) stop 'Malformed input record.'
key = line(:eq-1)
val = line(eq+1:)
if( key == 'VERBOSE' ) then
read(val,*) verbose
else if( key == 'PIPELOG' ) then
read(val,*) plog
else if( key == 'ADVANCED' ) then
read(val,*) advanced
else if( key == 'FITS_KEY_EXPTIME' ) then
read(val,*) keys(1)
else if( key == 'FITS_KEY_AREA' ) then
read(val,*) keys(2)
else if( key == 'FITS_KEY_DATEOBS' ) then
read(val,*) keys(3)
else if( key == 'FITS_KEY_PHOTOSYS' ) then ! remove?
read(val,*) keys(4)
else if( key == 'FITS_KEY_FILTER' ) then
read(val,*) keys(5)
else if( key == 'FITS_KEY_LONGITUDE' ) then
read(val,*) keys(6)
else if( key == 'FITS_KEY_LATITUDE' ) then
read(val,*) keys(7)
else if( key == 'FITS_KEY_TIMEOBS' ) then
read(val,*) keys(8)
else if( key == 'NFILTERS' ) then
read(val,*) nfilters
deallocate(filters)
allocate(filters(nfilters))
filters = ''
else if( key == 'FILTERS' ) then
! a set of filters
read(val,*) filters
else if( key == 'COL_RA' ) then
read(val,*) col_ra
else if( key == 'COL_DEC' ) then
read(val,*) col_dec
else if( key == 'COL_NMAG' ) then
read(val,*) nmag
deallocate(col_mag)
allocate(col_mag(nmag))
col_mag = ''
else if( key == 'COL_MAG' ) then
! a set columns
read(val,*) col_mag
else if( key == 'COL_NMAGERR' ) then
read(val,*) nmagerr
deallocate(col_magerr)
allocate(col_magerr(nmagerr))
col_magerr= ''
else if( key == 'COL_MAGERR' ) then
read(val,*) col_magerr
else if( key == 'TOL' ) then
read(val,*) utol
else if( key == 'SAPER' ) then
read(val,*) saper
else if( key == 'AREA' ) then
read(val,*) area
init_area = .true.
else if( key == 'THRESHOLD' ) then
read(val,*) threshold
else if( key == 'MAXERR' ) then
read(val,*) maxerr
else if( key == 'APCORR' ) then
read(val,*) apcorr
else if( key == 'NQUANTITIES' ) then
read(val,*) nqlabels
deallocate(qlabels)
allocate(qlabels(nqlabels))
qlabels = ''
else if( key == 'QUANTITIES' ) then
read(val,*) qlabels
else if( key == 'PHOTSYS_REF' ) then
read(val,*) photsys_ref
else if( key == 'PHOTSYS_INSTR' ) then
read(val,*) photsys_instr
init_photsys = .true.
else if( key == 'PHSYSTABLE' ) then
read(val,*) phsystable
else if( key == 'TRATABLE' ) then
read(val,*) tratable
else if( key == 'LIST' ) then
read(val,*) list
else if( key == 'NCTPH' ) then
read(val,*) nctph
deallocate(ctph_manual,dctph_manual)
allocate(ctph_manual(nctph),dctph_manual(nctph))
ctph_manual = 1
dctph_manual= 0
else if( key == 'CTPH' ) then
! manual calibration
read(val,*) ctph_manual
dctph_manual = 0
cal_manual = .true.
else if( key == 'CAT' ) then
! calibration agains to the catalogue
read(val,*) cat
else if( key == 'REF' ) then
! calibration agains to the already calibrated frame
read(val,*) ref
else if( key == 'NFILES' ) then
read(val,*) nfile
deallocate(filename,output)
allocate(filename(nfile),output(nfile))
filename = ''
output = ''
n = 0
else if( key == 'FILE' ) then
n = n + 1
if( n > size(filename) ) stop 'Too many files.'
read(line(eq+1:),*) filename(n), output(n)
end if
end do
20 continue
if( list ) then
call listphsys(phsystable)
else
if( size(filename) == 0 ) stop 'No frames to process.'
if( .not. (area > 0) ) &
stop 'Error: The specified area is negative or zero, very funny!'
if( cat /= '' ) then
call calibrate ! catcal ?
else if( ref /= '' ) then
call framecal
else if( cal_manual ) then
call mancal
else
stop 'Calibration type unknown.'
end if
end if
deallocate(filename,output,col_mag,col_magerr,filters,ctph_manual, &
dctph_manual)
stop 0
contains
! calibration
subroutine calibrate
use phsysfits
use calibre
use minpacks
use photoconv
use jamming
use sfits
use fits_fotran
character(len=FLEN_VALUE) :: catid,photosys_instr,photsys1,photsys2
character(len=FLEN_VALUE), dimension(:), allocatable :: filter_frames
real(dbl), allocatable, dimension(:) :: refra, refdec, ctph,dctph, &
exptime, areas, tol, aper
real(dbl), allocatable, dimension(:,:) :: tr,tr1,trerr,tr1err,refph,drefph,&
cts,dcts,dn,ddn,ra,dec,mag,dmag
real(dbl) :: q, d
type(type_phsys) :: phsyscal
type(photores), dimension(:), allocatable :: phres
integer, dimension(:,:), allocatable :: pairs
integer :: status,nfiles,ncat,i
if( photsys_ref == '' ) &
stop 'No identificator for reference photometry system.'
if( nmag == 0 ) &
stop 'Magnitude column(s) are not specified.'
if( nmagerr > 0 .and. nmag /= nmagerr ) &
stop 'Magnitude error column(s) does not match magnitudes itself.'
if( nmagerr == 0 ) write(error_unit,*) &
'Warning: Magnitude error column(s) are missing (consider include).'
nfiles = size(filename)
call readcat(cat,(/col_ra,col_dec/),col_mag,col_magerr, &
refra,refdec,mag,dmag,catid,status)
! filters as results of readcat (?!)
if( status /= 0 ) stop 'Failed to read a catalogue.'
if( .not. allocated(mag) ) stop 'An empty catalogue.'
! reference system
call phselect(phsystable,photsys_ref,phsyscal)
call phsyspairs(phsyscal,filters,pairs)
call readframes(filename,keys,phsyscal%filter,photosys_instr,threshold,&
maxerr,ra,dec,dn,ddn,utol,exptime,areas,filter_frames,tol,init_area,&
saper,aper,verbose,status)
if( status /= 0 ) stop 'Failed to read frames.'
if( size(filter_frames) /= size(filters) ) &
stop 'Filters and frames dimensions differs.'
if( init_area ) areas = area
if( verbose ) then
write(*,*) 'Filename, filter, exptime [s], area [m2]:'
do i = 1,size(filename)
write(*,'(2(a,3x),2(f0.3,1x))') trim(filename(i)), &
trim(filter_frames(i)),exptime(i), areas(i)
end do
end if
! write(*,*) size(mag)
! write(*,*) size(cts,1)
call jamcat(tol, refra, refdec, mag, dmag, ra,dec,dn,ddn,cts,dcts)
ncat = size(cts,1)
if( ncat == 0 ) stop 'Catalogue to frame joint stars not found.'
allocate(refph(ncat,size(mag,2)),drefph(ncat,size(mag,2)))
if( photsys_ref /= '' ) then
call phsysmagph(phsyscal,filters,pairs,mag(1:ncat,:),dmag(1:ncat,:), &
refph,drefph)
do n = 1,nfiles
q = exptime(n)*areas(n)
refph = q*refph
end do
else
! undefined photosystem, relative rates
call relmagph(mag(1:ncat,:),dmag(1:ncat,:),refph,drefph)
end if
! do i = 1, ncat
! write(*,*) mag(i,1),dmag(i,1),1.086*drefph(i,1)/refph(i,1),refph(i,1)
! end do
if( tratable/= '' ) then
call traload(tratable,photsys2,photsys1,tr,trerr,tr1,tr1err,status)
if( status /= 0 ) &
stop 'Instrumental to standard conversion table not found.'
if( photsys2 /= photsys_ref ) &
stop 'Reference photometry system does not match the conversion table.'
if( photsys1 /= photsys_instr ) &
stop 'Instrumental photometry system does not match the conversion table.'
if( size(tr,1) /= size(filters) ) &
stop "Amount of filters doesn't correspons to transformation table."
else
allocate(tr(size(refph,2),size(refph,2)),tr1(size(refph,2),size(refph,2)), &
trerr(size(refph,2),size(refph,2)),tr1err(size(refph,2),size(refph,2)))
tr = 0.0_dbl
forall(n=1:size(refph,2))
tr(n,n) = 1.0_dbl
end forall
tr1 = tr
end if
if( verbose ) then
write(*,*) 'Photons to counts transformation:'
do i = 1,size(filters)
write(*,'(1x,a,6f8.3)') trim(filters(i)),tr(i,:)
end do
write(*,*) 'Counts to photons transformation:'
do i = 1,size(filters)
write(*,'(1x,a,6f8.3)') trim(filters(i)),tr1(i,:)
end do
! write(*,*) 'Photon and count rates are in [*/s/m2].'
end if
! do i = 1, ncat
! write(*,*) real(refph(i,1)),real(cts(i,1))
! end do
! do i = 1, size(cts,1)
! write(*,*) dcts(i,1), cts(i,1), dcts(i,1)**2-cts(i,1)
! end do
! The reference photon flux is computed by magnitudes,
! or by flux normalised per both second and square meter.
! Statistical errors of flux can not be easy scaled
! on arbitraty exposure time or telescope diameter,
! if ones are mix of Poisson and Normal distributions
! of deviations.
!
! On the other side, our photons, carefully selected
! for bright stars, has nearly Poisson's rates and
! errors can be properly scaled.
do n = 1,0*nfiles
q = exptime(n)*areas(n)
dcts(1:ncat,n) = max(dcts(1:ncat,n)**2 - cts(1:ncat,n),0.0)
dcts(1:ncat,n) = sqrt(cts(1:ncat,n) / q + dcts(1:ncat,n) / q**2)
cts(1:ncat,n) = cts(1:ncat,n) / q
dcts(1:ncat,n) = dcts(1:ncat,n) / sqrt(q)
end do
! block
! real :: s
! s = 0
! open(1,file='n')
! do n = 1, size(dn,1)
! if( dn(n,1) > 0 ) then
! s = s + sqrt(dn(n,1))/dn(n,1)
! write(1,*) n, sqrt(dn(n,1))/sqrt(dn(1,1)),s/(sqrt(dn(1,1))/dn(1,1))
! end if
! end do
! close(1)
! end block
do i = 1, size(cts,1)
! write(*,*) (dcts(i,1)**2 - cts(i,1))/cts(i,1), (drefph(i,1)**2 - refph(i,1))/refph(i,1)/30
end do
! if( index(cat,'cone') > 0 ) then
! do i = 1, size(cts,1)
! ! dcts(i,1) = sqrt(cts(i,1))
! drefph(i,1) = sqrt(refph(i,1) + drefph(i,1) / 10)
! end do
! end if
allocate(phres(nfiles),ctph(nfiles),dctph(nfiles))
do n = 1, nfiles
call photores_init(phres(n),ncat)
phres(n)%ra = refra(1:ncat)
phres(n)%dec = refdec(1:ncat)
enddo
if( nfiles == 1 ) then
call calibr(refph,drefph,cts(1:ncat,:),dcts(1:ncat,:),ctph,dctph, &
phres,verbose)
else
call caliber(pairs,filters,tr,tr1,refph,drefph, &
cts(1:ncat,:),dcts(1:ncat,:),ctph,dctph,phres,verbose)
end if
! apperture correction
ctph = apcorr * ctph
dctph = apcorr * dctph
if( verbose ) then
if( nfiles > 1 ) then
write(*,*) 'Relative residuals:'
write(*,'(5x,tr5,5a10)') filters
do i = 1, ncat
write(*,'(i5,5f10.4)') i,(phres(n)%res(i),n=1,size(phres))
end do
end if
write(*,*) 'Final solutions:'
do i = 1,size(ctph)
write(*,'(3a,g15.5,a,1pg8.1)') 'ctph(',trim(filters(i)),') =', &
ctph(i),'+-',dctph(i)
end do
end if
! per second and square meter
q = exptime(1)*areas(1)
d = dctph(1) / ctph(1)
! ctph = q / ctph
! dctph = ctph * d
call writecal(filename,output,keys,advanced,phsystable,filters, &
catid,photsys_ref,area,init_area,saper,tr1,ctph,dctph,qlabels,phres,verbose)
do i = 1,size(phres)
call photores_destroy(phres(i))
end do
deallocate(phres)
if( allocated(pairs) ) deallocate(pairs)
call deallocate_phsyscal(phsyscal)
deallocate(refra,refdec,refph,drefph,filter_frames,exptime,areas,aper, &
tol,tr,tr1,trerr,tr1err,cts,dcts,dn,ddn,ra,dec,mag,dmag,ctph,dctph)
end subroutine calibrate
subroutine relmagph(mag,dmag,ph,dph)
use photoconv
real(dbl), dimension(:,:), intent(in) :: mag,dmag
real(dbl), dimension(:,:), intent(out) :: ph,dph
do n = 1, size(mag,2)
call mag2rate(mag(:,n),dmag(:,n),ph(:,n),dph(:,n))
! dph(:,n) = sqrt(ph(:,n))
end do
end subroutine relmagph
subroutine framecal
! framecal suppose calibration in single filter only
use jamming
use calibre
use sfits
character(len=FLEN_VALUE) :: catid,photosys_frames
character(len=FLEN_VALUE), dimension(:), allocatable :: filter_ref, &
filters_fram
real(dbl), allocatable, dimension(:) :: refra, refdec, ctph,dctph, &
exptime, areas, tol, aper
real(dbl), allocatable, dimension(:,:) :: refph,drefph, &
cts,dcts,ra,dec
real(dbl), dimension(1,1), parameter :: tratab = real(1.0,dbl)
type(photores), dimension(:), allocatable :: phres
type(type_phsys) :: phsyscal
integer :: status,nfiles,ncat,i,n
real(dbl) :: reftime, refarea, refaper, q
nfiles = size(filename)
status = 0
nfilters = 1
allocate(filters_fram(1),filter_ref(1))
! reference system
call phselect(phsystable,photsys_ref,phsyscal)
call readref(ref,keys,maxerr,threshold,refra,refdec,refph,drefph, &
filter_ref(1),reftime,refarea,refaper,status)
if( status /= 0 ) stop 'Failed to read a reference frame.'
catid = trim(ref)
call readframes(filename,keys,phsyscal%filter,photosys_frames,threshold,&
maxerr,ra,dec,cts,dcts,utol,exptime,areas,filters_fram,tol,init_area,&
saper,aper,verbose,status)
if( status /= 0 ) stop 'Failed to read frames.'
if( init_area ) areas = area
if( any(abs(refaper - aper) > 0.1) ) &
write(error_unit,*) 'Warning: synthetic apertures looks different.'
! Rates of the reference frame are rescaled on calibrated frames;
! the reference frames are supposed as the best frame, or the frame
! with its exposure longer than the exposure of calibrated ones.
q = (reftime * refarea) / (exptime(1)*areas(1))
! write(*,*) q,sqrt(q)
! q = reftime * refarea
! q = exptime(1) * areas(1)
! q = 1
refph = refph / q
! drefph = drefph / sqrt(q) ! pure Poisson
drefph = drefph / q ! Normal-like
! drefph = max(drefph**2 - refph,0.0)
! drefph = sqrt(refph / q + drefph/q**2)
! refph = refph / q
! do i = 1, size(refph,1)
! write(*,*) sqrt(refph(i,1)),drefph(i,1)
! end do
if( verbose ) then
write(*,*) 'Filename, filter, exptime [s], area [m2]:'
write(*,'(2(a,3x),2(f0.3,1x),a)') trim(ref), &
trim(filter_ref(1)),reftime,refarea,' (reference)'
do i = 1,size(filename)
write(*,'(2(a,3x),2(f0.3,1x))') trim(filename(i)), &
trim(filters_fram(i)),exptime(i),areas(i)
end do
end if
!!$ block
!!$ real(dbl), allocatable, dimension(:) :: refra0, refdec0
!!$ real(dbl), allocatable, dimension(:,:) :: refph0,drefph0, &
!!$ cts0,dcts0,ra0,dec0
!!$ integer :: m
!!$
!!$ allocate(ctph(1),dctph(1),phres(1))
!!$ allocate(refra0,source=refra)
!!$ allocate(refdec0,source=refdec)
!!$ allocate(refph0,source=refph)
!!$ allocate(drefph0,source=drefph)
!!$ allocate(cts0,source=cts)
!!$ allocate(dcts0,source=dcts)
!!$ allocate(ra0,source=ra)
!!$ allocate(dec0,source=dec)
!!$
!!$ open(1,file='n')
!!$
!!$ do n = 1, size(refra0)
!!$
!!$ deallocate(refra,refdec,refph,drefph)
!!$ allocate(refra(n),refdec(n),refph(n,1),drefph(n,1))
!!$
!!$ refra = refra0(:n)
!!$ refdec = refdec0(:n)
!!$ refph(:,1) = refph0(:n,1)
!!$ drefph(:,1) = drefph0(:n,1)
!!$ ra = ra0
!!$ dec = dec0
!!$ cts = cts0
!!$ dcts = dcts0
!!$ call jamref(tol, refra, refdec, refph, drefph, ra,dec,cts,dcts)
!!$ m = size(cts,1)
!!$ call calibr(refph(1:m,:),drefph(1:m,:),cts(1:m,:),dcts(1:m,:),&
!!$ ctph,dctph,phres,verbose)
!!$ write(1,*) n,ctph,dctph,(cts(1,1)/ctph(1)-refph(1,1))/refph(1,1)
!!$
!!$ end do
!!$ close(1)
!!$ end block
!!$
!!$
call jamref(tol, refra, refdec, refph, drefph, ra,dec,cts,dcts)
ncat = size(cts,1)
if( ncat == 0 ) stop 'Frame to frame joint stars not found.'
! do n = 1,nfiles
! q = (exptime(n) * areas(n)) / (reftime * refarea)
! q = 1
! cts(1:ncat,n) = cts(1:ncat,n) / q
! dcts(1:ncat,n) = dcts(1:ncat,n) / sqrt(q)
! end do
allocate(phres(nfiles),ctph(nfiles),dctph(nfiles))
do n = 1, nfiles
call photores_init(phres(n),ncat)
phres(n)%ra = refra(1:ncat)
phres(n)%dec = refdec(1:ncat)
enddo
! write(*,*) refph(1:ncat,:)
! write(*,*) cts(1:ncat,:)
call calibr(refph(1:ncat,:),drefph(1:ncat,:),cts(1:ncat,:),dcts(1:ncat,:),&
ctph,dctph,phres,verbose)
! pull back of original rates
! q = reftime * refarea
! q = (reftime * refarea) / (exptime(1)*areas(1))
! ctph = q * ctph
! dctph = q * dctph
! apperture correction
ctph = apcorr * ctph
dctph = apcorr * dctph
! update rates
q = (reftime * refarea) / (exptime(1)*areas(1))
! q = exptime(1)*areas(1)
q = 1
do i = 1, size(ctph)
phres(i)%pht = phres(i)%pht / q
phres(i)%cts = phres(i)%cts / q
! phres(i)%pht = phres(i)%pht / (reftime * refarea)
! phres(i)%cts = phres(i)%cts / (exptime(1)*areas(1))
end do
! per second and square meter
! q = (reftime * refarea) / (exptime(1)*areas(1))
!q = exptime(1)*areas(1)
! d = dctph(1) / ctph(1)
! ctph = q * ctph
! dctph = d * ctph
call writecal(filename,output,keys,advanced,phsystable, &
filters_fram,catid,photsys_ref,area,init_area,saper,tratab, &
ctph,dctph,qlabels,phres,verbose)
deallocate(refra,refdec,refph,drefph,filter_ref,filters_fram,exptime, &
areas,tol,cts,dcts,ra,dec,ctph,dctph)
do i = 1,size(phres)
call photores_destroy(phres(i))
end do
deallocate(phres)
call deallocate_phsyscal(phsyscal)
end subroutine framecal
! manual calibration
subroutine mancal
use sfits
use fits_fotran
character(len=FLEN_VALUE) :: catid,photsys1,photsys2
real(dbl), allocatable, dimension(:,:) :: tr,tr1,trerr,tr1err
integer :: n,status
if( tratable/= '' ) then
call traload(tratable,photsys2,photsys1,tr,trerr,tr1,tr1err,status)
if( status /= 0 ) &
stop 'Instrumental to standard conversion table not found.'
if( size(tr,1) /= size(filters) ) &
stop "Dimensions of transformation table and filters doesn't corresponds."
if( photsys2 /= photsys_ref ) &
stop 'Reference photometry system does not match the conversion table.'
if( photsys1 /= photsys_instr ) &
stop 'Instrumental photometry system does not match the conversion table.'
else
allocate(tr(size(filename),size(filename)),tr1(size(filename),size(filename)), &
trerr(0,0),tr1err(0,0))
tr = 0.0_dbl
forall(n=1:size(tr,1))
tr(n,n) = 1.0_dbl
end forall
end if
catid = ''
call writecal(filename,output,keys,advanced,phsystable,filters, &
catid,photsys_ref,area,init_area,saper,tr1,apcorr*ctph_manual, &
apcorr*dctph_manual,qlabels,verbose=verbose)
deallocate(tr,tr1,trerr,tr1err)
end subroutine mancal
end program phcal
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