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# Estimate the zero point of an image from a reference (image or catalog)
#
# This Makefile should not be used independently. It will be called from
# the Zeropoint script.
#
# NOTE ON FORMAT OF RECIPES: Non-GNU implementations of Make don't have
# '.ONESHELL', so without connecting the recipe lines with a '\', they will
# be executed in separate shells (which will not preserve variable
# values). Therefore, we cannot use comments in between the separate
# commands.
#
# Current maintainer:
# Sepideh Eskandarlou <sepideh.eskandarlou@gmail.com>
# Contributing authors:
# Mohammad Akhlaghi <mohammad@akhlaghi.org>
# Raul Infante-Sainz <infantesainz@gmail.com>
# Samane Raji <samaneraji@gmail.com>
# Zahra sharbaf <zahra.sharbaf2@gmail.com>
# Copyright (C) 2022-2025 Free Software Foundation, Inc.
#
# This Makefile 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.
#
# This Makefile 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 this Makefile. If not, see <http://www.gnu.org/licenses/>.
# Include the configure file. It contains all the variables that were
# passed by the user to the higher-level script that calls this Makefile
# (for example the 'output' variable, which is a prerequisite of 'all').
include $(tmpdir)/zeropoint.conf
# Final target.
all: $(output)
# Second expansion.
.SECONDEXPANSION:
# Stop the recipe's shell if the command fails
.SHELLFLAGS = -ec
# Catalog of stars
# ----------------
#
# Use Gaia catalog and only keep the objects with good parallax (to
# confirm that they are stars).
stars=$(tmpdir)/stars.fits
$(stars): $(input) | $(tmpdir)
# Recipe if 'starcat' is NOT given (get it from Gaia)
ifeq ($(strip $(starcat)),)
raw=$(subst .fits,-raw.fits,$@); \
astquery gaia --dataset=dr3 \
--hdu=$(hduinput) \
--overlapwith=$(input) \
-csource_id -cra -cdec -cparallax \
-cparallax_error -cpmra -cpmdec --output=$$raw; \
asttable $$raw -cra,dec --colinfoinstdout \
-c'arith parallax parallax abs \
parallax_error 3 x lt nan where ' \
--colmetadata=3,GOODPLX,int32,"Stars with good parallax." \
--noblankend=GOODPLX \
| asttable -cra,dec --output=$@; \
rm $$raw
# Recipe if 'starcat' is given (just use the 'ra' and 'dec'
# columns). If the input doesn't have an 'ra' or 'dec' columns,
# 'asttable' is going to complain directly. So there is no need to add
# extra checks here.
else
if [ "x$(starcathdu)" = x ]; then hdu=1; \
else hdu=$(starcathdu); fi; \
asttable $(starcat) --hdu=$$hdu --output=$@ \
-c$(starcatra),$(starcatdec)
endif
# If the reference type is 'img', 'gencat' will be a list with many names
# as the number of input images.
ifeq ($(reftype),img)
gencat=$(foreach i, $(refnumber), ref$(i))
# The reference is a catalog, prepare the single reference catalog with
# desired columns.
else
gencat=
# Prepare the catalog for comparing in different appertures.
cataper=$(foreach a,$(aper-arcsec), \
$(tmpdir)/ref1-$(a)-cat.fits)
$(cataper): $(tmpdir)/ref1-%-cat.fits:
asttable $(ref1) -c$(ra),$(dec) -c$(mag) \
| cat -n \
| asttable --output=$@ \
--colmetadata=1,OBJ_ID,int32,"Id of object." \
--colmetadata=2,RA,float64,"Right Assencion." \
--colmetadata=3,DEC,float64,"Declination." \
--colmetadata=4,MAGNITUDE,float32,"Magnitude."
endif
# Apertures photometry
# --------------------
#
# To generate the apertures catalog we will use Gnuastro’s MakeProfiles. We
# will first read the positions from the Gaia catalog, then use AWK to set
# the other parameters of each profile to be a fixed circle of radius 5.1
# pixels. To calculate the pixel size I have to use the big origin image
# before cropping
zpinput=0
aperture=$(foreach i,input $(gencat), \
$(foreach a,$(aper-arcsec), \
$(tmpdir)/$(i)-$(a)-cat.fits))
$(aperture): $(tmpdir)/%-cat.fits: $(stars)
# Brief summary of the steps done here:
# - Extract the names.
# - Convert the aperture size (arcsec) to pixels.
# - Make an aperture catalog by using aperture size in pixels
# - Make an image of apertures.
# - Build a catalog of this aperture image.
# - Clean up.
img=$($(word 1, $(subst -, ,$*))); \
zp=$(zp$(word 1, $(subst -, ,$*))); \
aperarcsec=$(word 2, $(subst -, ,$*)); \
hdu=$(hdu$(word 1, $(subst -, ,$*))); \
aperwcscat=$(subst .fits,-aperwcscat.txt,$@); \
aperimg=$(subst .fits,-aper.fits,$@); \
aperpix=$$(astfits $$img --hdu=$$hdu --pixelscale --quiet \
| awk -v s=$$aperarcsec \
'{print s/($$1 * 3600)}'); \
asttable $(stars) -cra,dec \
| awk -v r=$$aperpix \
'{ print NR, $$1, $$2, 5, r, 0, 0, 1, NR, 1 }' \
> $$aperwcscat; \
astmkprof $$aperwcscat --background=$$img --backhdu=$$hdu \
--clearcanvas --replace --type=int32 --mforflatpix \
--mode=wcs --output=$$aperimg --quiet; \
astmkcatalog $$aperimg -h1 --output=$@ --zeropoint=$$zp \
--inbetweenints --valuesfile=$$img \
--valueshdu=$$hdu --ids --ra --dec --magnitude; \
rm $$aperwcscat $$aperimg
# Calculate magnitude differences
# -------------------------------
#
# Match the reference catalog with the input catalog and put reference
# magnitude in the catalog. Then subtract the reference mag. from input
# mag. Finally, the final target has two columns of reference mag and
# subtracted mag.
allrefs=$(foreach i, $(refnumber), ref$(i))
magdiff=$(foreach r,$(allrefs), \
$(foreach a,$(aper-arcsec), \
$(tmpdir)/$(r)-$(a)-magdiff.fits))
$(magdiff): $(tmpdir)/%-magdiff.fits: \
$(tmpdir)/%-cat.fits \
$(tmpdir)/input-$$(word 2,$$(subst -, ,%))-cat.fits
# Find the matching objects in both catalogs.
# Subtract the reference catalog mag from input catalog's mag.
# Clean up.
match=$(subst .fits,-match.fits,$@); \
astmatch $< --hdu=1 $(word 2,$^) --hdu2=1 \
--ccol1=RA,DEC --ccol2=RA,DEC \
--outcols=aMAGNITUDE,bMAGNITUDE \
--aperture=$(matchradius)/3600 \
--output=$$match; \
nmatch=$$(asttable $$match --info-num-rows); \
if [ $$nmatch -lt 3 ]; then \
printf "$(scriptname): $$nmatch stars matched! This is "; \
printf "not enough for good statistics so the script will "; \
printf "abort. If you are sure that the reference "; \
printf "image/catalog is the on the same region of sky and "; \
printf "cover the same brightness levels, the problem is "; \
printf "with the match radius (currently set to "; \
printf "$(matchradius) arcseconds). If your field is very "; \
printf "dense with usable stars you need to decrease it "; \
printf "by giving a smaller value to '--matchradius'. "; \
printf "Alternatively, if the the errors in positions are "; \
printf "high, you need to give a larger value to "; \
printf "'--matchradius'\n"; \
exit 1; \
fi; \
asttable $$match -c1 -c'arith $$1 $$2 -' \
--colmetadat=1,MAG-REF,f32,"Magnitude of reference." \
--colmetadat=2,MAG-DIFF,f32,"Magnitude diff with input." \
--noblankend=1,2 --output=$@; \
rm $$match
# Computing the zero point for each aperture
# ------------------------------------------
#
# Calculate Zeropoint number in seperated files and calculate the root mean
# square of zero point.
aperzeropoint=$(foreach a,$(aper-arcsec), \
$(tmpdir)/zeropoint-$(a).txt)
$(aperzeropoint): $(tmpdir)/zeropoint-%.txt: \
$$(foreach r,$(allrefs),$(tmpdir)/$$(r)-%-magdiff.fits)
# Merge all the magdiffs from all the references.
# Merge all the rows from all the reference images into one.
# If the user requested a certain magnitude range, use it.
# Find the zeropoint and its standard deviationg using sigma-clipped
# median and standard deviation. Write them into the target.
merged=$(subst .txt,-merged.fits,$@); \
opts=""; \
if ! [ "$(refnumber)" = 1 ]; then \
for r in $$(echo $(refnumber) | sed -e's|1||'); do \
opts="$$opts --catrowfile=$(tmpdir)/ref$$r-$*-magdiff.fits"; \
done; \
fi; \
asttable $(tmpdir)/ref1-$*-magdiff.fits $$opts -o$$merged; \
astfits $$merged --update=EXTNAME,APER-$*; \
rangeopt=""; \
if ! [ x"$(magrange)" = x ]; then \
rangeopt="--range=MAG-REF,$(magrange)"; \
fi; \
zpstd=$$(asttable $$merged $$rangeopt -cMAG-DIFF \
| aststatistics --sigclip-median \
--sigclip-std --quiet); \
echo "$* $$zpstd" > $@
# Most accurate zeropoint
# -----------------------
#
# For each aperture, one zeropoint and its STD has been computed. The best
# value is the one with the lowest STD value.
$(output): $(aperzeropoint)
# Obtain the zeropoint and zero point STD of each aperture.
# Find the best aperture; its zero point and STD.
# Auxiliary/temporary file
# If the user requested a certain magnitude range, add minmag and
# maxmag to header.
# The 'bestaper' above is returned from 'asttable', that is saved
# as a floating point, so the extra digits in reading floating
# points
# Move the main table to the output and copy the mag-vs-zeroppoint
# plot for the best aperture.
# Move the main table to the output and copy the mag-vs-zeroppoint
# plot for the whole aperture.
# Clean up.
zp=$(subst .fits,-tmp.txt,$@); \
echo "# Column 1: APERTURE [arcsec,f32,] Aperture used." > $$zp; \
echo "# Column 2: ZEROPOINT [mag, f32,] Zero point (sig-clip median)." >> $$zp; \
echo "# Column 3: ZPSTD [mag, f32,] Zero point Standard deviation." \
>> $$zp; \
for a in $(aper-arcsec); do \
cat $(tmpdir)/zeropoint-$$a.txt >> $$zp; \
done; \
magmin=""; \
magmax=""; \
if ! [ x"$(magrange)" = x ]; then \
magmin=$$(echo "$(magrange)" | sed 's|,| |' | awk '{print $$1}'); \
magmax=$$(echo "$(magrange)" | sed 's|,| |' | awk '{print $$2}'); \
fi; \
asttable $$zp --output=$@.fits; \
bestaper=$$(asttable $$zp --sort=ZPSTD --head=1 --column=APERTURE); \
bestzp=$$(asttable $$zp --sort=ZPSTD --head=1 --column=ZEROPOINT); \
beststd=$$(asttable $$zp --sort=ZPSTD --head=1 --column=ZPSTD); \
astfits $@.fits --update=EXTNAME,"ZEROPOINTS" \
--write=/,"Zeropoint properties" \
--write=ZPAPER,"$$bestaper","Best aperture." \
--write=ZPVALUE,"$$bestzp","Best zero point." \
--write=ZPSTD,"$$beststd","Best std. dev. of zeropoint."; \
if ! [ x"$(magrange)" = x ]; then \
astfits $@.fits \
--write=ZPMAGMIN,"$$magmin","Min mag for obtaining zeropoint."; \
astfits $@.fits \
--write=ZPMAGMAX,"$$magmax","Max mag for obtaining zeropoint."; \
fi; \
if [ x"$(keepzpap)" = x ]; then \
for a in $(aper-arcsec); do \
check=$$(echo $$a \
| awk -vb=$$bestaper \
'$$1>b-1e-6 && $$1<b+1e-6{print "yes"}'); \
if [ x$$check = xyes ]; then bestaperstr=$$a; fi; \
done; \
astfits $(tmpdir)/zeropoint-$$bestaperstr-merged.fits --copy=1 -o$@.fits; \
mv $@.fits $@; \
else \
for a in $(aper-arcsec); do \
astfits $(tmpdir)/zeropoint-$$a-merged.fits --copy=1 -o$@.fits; \
done; \
mv $@.fits $@; \
fi; \
rm $$zp
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