/
make_quiet_field.py
333 lines (303 loc) · 16.2 KB
/
make_quiet_field.py
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import healpy as hp
import numpy as np
import matplotlib.pyplot as plt
from astropy.io import fits
from astropy.coordinates import SkyCoord
import astropy.units as u
import ipdb;
from time import time
from rotate_tqu import rotate_tqu
from alpha_function import alpha_function
def convertcenter(ra,dec):
return np.array([(ra[0]+ra[1]/60.)/24.*360,dec])
def regioncoords(ra,dec,dx,nx,ny):
decs=np.array([ dec +dx*( j - ny/2.) for j in xrange(ny)])
coords= np.array([ [np.mod(ra+dx*(i-nx/2)/np.cos(dec*np.pi/180.),360),dec] for i in xrange(nx) for dec in decs])
return coords
def main():
t1=time()
radio_file='/data/wmap/faraday_MW_realdata.fits'
cl_file='/home/matt/wmap/simul_scalCls.fits'
output_prefix='/home/matt/quiet/quiet_maps/'
nside=1024
nside_in=1024
npix=hp.nside2npix(nside)
bands=[43.1,94.5]
q_fwhm=[27.3,11.7]
pix_area= np.sqrt(hp.nside2pixarea(1024))*60*180./np.pi
noise_const_q=np.array([36./pix_area for f in q_fwhm])*1e-6
# noise_const_q=np.array([36./fwhm for fwhm in q_fwhm])*1e-6
centers=np.array([convertcenter([12,4],-39),convertcenter([5,12],-39),convertcenter([0,48],-48),convertcenter([22,44],-36)])
wl=np.array([299792458./(band*1e9) for band in bands])
synchrotron_file='/data/Planck/COM_CompMap_SynchrotronPol-commander_0256_R2.00.fits'
dust_file='/data/Planck/COM_CompMap_DustPol-commander_1024_R2.00.fits'
dust_t_file='/data/Planck/COM_CompMap_dust-commander_0256_R2.00.fits'
dust_b_file='/data/Planck/COM_CompMap_ThermalDust-commander_2048_R2.00.fits'
##Dust intensity scaling factor
hdu_dust_t=fits.open(dust_t_file)
dust_t=hdu_dust_t[1].data.field('TEMP_ML')
hdu_dust_t.close()
dust_t=hp.reorder(dust_t,n2r=1)
dust_t=hp.ud_grade(dust_t,nside_in)
hdu_dust_b=fits.open(dust_b_file)
dust_beta=hdu_dust_b[1].data.field('BETA_ML_FULL')
hdu_dust_b.close
dust_beta=hp.reorder(dust_beta,n2r=1)
dust_beta=hp.ud_grade(dust_beta,nside_in)
gamma_dust=6.626e-34/(1.38e-23*dust_t)
krj_to_kcmb=np.array([1.,1.])
sync_factor=krj_to_kcmb*np.array([1e-6*(30./x)**2 for x in bands])
dust_factor=np.array([krj_to_kcmb[i]*1e-6*(np.exp(gamma_dust*353e9)-1)/(np.exp(gamma_dust*x*1e9)-1)* (x/353.)**(1+dust_beta) for i,x in enumerate(bands)])
print('Preparing Foregrounds')
bl_40=hp.gauss_beam(40.*np.pi/(180.*60.),3*1024-1)
bl_10=hp.gauss_beam(10.*np.pi/(180.*60.),3*1024-1)
hdu_sync=fits.open(synchrotron_file)
sync_q=hdu_sync[1].data.field(0)
sync_u=hdu_sync[1].data.field(1)
sync_q=hp.reorder(sync_q,n2r=1)
tmp_alm=hp.map2alm(sync_q)
tmp_alm=hp.almxfl(tmp_alm,1./bl_40)
#simul_sync_q=hp.smoothing(sync_q,fwhm=40.*np.pi/(180.*60.),verbose=False,invert=True)
sync_q=hp.alm2map(tmp_alm,nside_in,verbose=False)
sync_u=hp.reorder(sync_u,n2r=1)
tmp_alm=hp.map2alm(sync_u)
tmp_alm=hp.almxfl(tmp_alm,1./bl_40)
#simul_sync_q=hp.smoothing(sync_q,fwhm=40.*np.pi/(180.*60.),verbose=False,invert=True)
sync_u=hp.alm2map(tmp_alm,nside_in,verbose=False)
hdu_sync.close()
hdu_dust=fits.open(dust_file)
dust_q=hdu_dust[1].data.field(0)
dust_u=hdu_dust[1].data.field(1)
hdu_dust.close()
dust_q=hp.reorder(dust_q,n2r=1)
tmp_alm=hp.map2alm(dust_q)
tmp_alm=hp.almxfl(tmp_alm,1./bl_10)
#simul_dust_q=hp.smoothing(dust_q,fwhm=10.*np.pi/(180.*60.),verbose=False,invert=True)
dust_q=hp.alm2map(tmp_alm,nside_in,verbose=False)
dust_q_back=np.copy(dust_q)
dust_u=hp.reorder(dust_u,n2r=1)
tmp_alm=hp.map2alm(dust_u)
tmp_alm=hp.almxfl(tmp_alm,1./bl_10)
#simul_dust_q=hp.smoothing(dust_q,fwhm=10.*np.pi/(180.*60.),verbose=False,invert=True)
dust_u=hp.alm2map(tmp_alm,nside_in,verbose=False)
dust_u_back=np.copy(dust_u)
print 'Generating Map'
cls=hp.read_cl(cl_file)
simul_cmb=hp.sphtfunc.synfast(cls,nside,fwhm=0.,new=1,pol=1);
alpha_radio=hp.read_map(radio_file,hdu='maps/phi');
alpha_radio=hp.ud_grade(alpha_radio,nside_out=nside,order_in='ring',order_out='ring')
num_wl=len(wl)
no_noise=[]
t_array=np.zeros((num_wl,npix))
q_array=np.zeros((num_wl,npix))
sigma_q=np.zeros((num_wl,npix))
u_array=np.zeros((num_wl,npix))
sigma_u=np.zeros((num_wl,npix))
for i in range(num_wl):
print('\tFrequency: {0:2.1f}'.format(bands[i]))
tmp_cmb=rotate_tqu(simul_cmb,wl[i],alpha_radio);
no_noise.append(hp.smoothing(np.copy(tmp_cmb), fwhm=q_fwhm[i]*np.pi/(180*60.),pol=1,verbose=False))
sigma_q[i]=np.random.normal(0,1,npix)*noise_const_q[i]
sigma_u[i]=np.random.normal(0,1,npix)*noise_const_q[i]
tmp_cmb[1]+= np.copy( dust_factor[i]*dust_q+sync_factor[i]*sync_q )
tmp_cmb[2]+= np.copy( dust_factor[i]*dust_u+sync_factor[i]*sync_u )
tmp_out=hp.sphtfunc.smoothing(tmp_cmb,fwhm=q_fwhm[i]*np.pi/(180.*60.),pol=1,verbose=False)
t_array[i],q_array[i],u_array[i]=tmp_out
#sigma_q[i]=hp.sphtfunc.smoothing(tmp_q,fwhm=np.pi/180.)
#sigma_u[i]=hp.sphtfunc.smoothing(tmp_u,fwhm=np.pi/180.)
print "Time to Write Fields"
dx=1./(60.)*3
nx=np.int(15/dx)
ny=nx
all_pix=[]
field_pix=[]
square_pix=[]
quiet_mask=np.zeros(npix)
prim=fits.PrimaryHDU()
prim.header['COMMENT']="Simulated Quiet Data"
prim.header['COMMENT']="Created using CAMB"
for p in xrange(len(centers)):
coords=regioncoords(centers[p,0],centers[p,1],dx,nx,ny)
coords_sky=SkyCoord(ra=coords[:,0],dec=coords[:,1],unit=u.degree,frame='fk5')
phi=coords_sky.galactic.l.deg*np.pi/180.
theta=(90-coords_sky.galactic.b.deg)*np.pi/180.
pixels=hp.ang2pix(nside,theta,phi)
quiet_mask[pixels]=1
unique_pix=(np.unique(pixels).tolist())
field_pix.append(unique_pix)
square_pix.append(pixels)
all_pix.extend(unique_pix)
pix_col=fits.Column(name='PIXEL',format='1J',array=unique_pix)
for f in xrange(num_wl):
region_mask=np.zeros(npix)
region_mask[pixels]=1
region_map_t=np.array(t_array[f][pixels]).reshape((nx,ny))
region_map_q=np.array(q_array[f][pixels]).reshape((nx,ny))
region_map_u=np.array(u_array[f][pixels]).reshape((nx,ny))
region_delta_q=np.array(sigma_q[f][pixels]).reshape((nx,ny))
region_delta_u=np.array(sigma_u[f][pixels]).reshape((nx,ny))
prim=fits.PrimaryHDU()
q_head=fits.ImageHDU([region_map_t,region_map_q,region_map_u],name="STOKES IQU")
q_head.header['TFIELDS']=(3,'number of fields in each row')
q_head.header['TTYPE1']=('SIGNAL', "STOKES I, Temperature")
q_head.header['TUNIT1']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
q_head.header['TTYPE2']='STOKES Q'
q_head.header['TUNIT2']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
q_head.header['TTYPE3']='STOKES U'
q_head.header['TUNIT3']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
q_head.header['TFORM1']='E'
q_head.header['TFORM1']='E'
q_head.header['TFORM2']='E'
q_head.header['PIXTYPE']=("HEALPIX","HEALPIX pixelisation")
q_head.header['ORDERING']=("RING","Pixel order scheme, either RING or NESTED")
q_head.header["COORDSYS"]=('G','Pixelization coordinate system')
q_head.header['NSIDE']=(1024,'Healpix Resolution paramter')
q_head.header['OBJECT']=('FULLSKY','Sky coverage, either FULLSKY or PARTIAL')
q_head.header['INDXSCHM']=('EXPLICIT','indexing : IMPLICIT of EXPLICIT')
err_head=fits.ImageHDU([region_delta_q,region_delta_u],name="Q/U UNCERTAINTIES")
err_head.header['TFIELDS']=(2,'number of fields in each row')
err_head.header['NSIDE']=1024
err_head.header['ORDERING']='RING'
err_head.header['TTYPE1']='SIGMA Q'
err_head.header['TUNIT1']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
err_head.header['TTYPE2']='SIGMA U'
err_head.header['TUNIT2']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
err_head.header['PIXTYPE']=("HEALPIX","HEALPIX pixelisation")
err_head.header['OBJECT']=('PARTIAL','Sky coverage, either FULLSKY or PARTIAL')
err_head.header['INDXSCHM']=('EXPLICIT','indexing : IMPLICIT of EXPLICIT')
m_head=fits.ImageHDU(region_mask,name='MASK')
sqr_pix_col=fits.Column(name='PIXELS',format='1J',array=pixels)
sqr_pix_cols=fits.ColDefs([sqr_pix_col])
sqr_pix_head=fits.BinTableHDU.from_columns(sqr_pix_cols)
hdulist=fits.HDUList([prim,q_head,err_head,m_head,sqr_pix_head])
hdulist.writeto(output_prefix+"quiet_simulated_{:.1f}_cmb{:1d}.fits".format(bands[f],p+1),clobber=True)
print '{:.1f}_cmb{:1d}.fits'.format(bands[f],p+1)
mask_head=fits.ImageHDU(quiet_mask,name='MASK')
pix_col=fits.Column(name='PIXEL',format='1J',array=all_pix)
field_pix_col1=fits.Column(name='PIXELS FIELD 1',format='1J',array=field_pix[0])
field_pix_col2=fits.Column(name='PIXELS FIELD 2',format='1J',array=field_pix[1])
field_pix_col3=fits.Column(name='PIXELS FIELD 3',format='1J',array=field_pix[2])
field_pix_col4=fits.Column(name='PIXELS FIELD 4',format='1J',array=field_pix[3])
sqr_pix_col1=fits.Column(name='PIXELS FIELD 1',format='1J',array=square_pix[0])
sqr_pix_col2=fits.Column(name='PIXELS FIELD 2',format='1J',array=square_pix[1])
sqr_pix_col3=fits.Column(name='PIXELS FIELD 3',format='1J',array=square_pix[2])
sqr_pix_col4=fits.Column(name='PIXELS FIELD 4',format='1J',array=square_pix[3])
cols1=fits.ColDefs([sqr_pix_col1,sqr_pix_col2,sqr_pix_col3,sqr_pix_col4])
tbhdu1=fits.BinTableHDU.from_columns(cols1)
tbhdu1.header['TFIELDS']=(4,'number of fields in each row')
tbhdu1.header["TTYPE1"]=("PIXELS CMB FIELD 1","SQUARE PIXEL NUMBER BY FIELD")
tbhdu1.header["TTYPE2"]=("PIXELS CMB FIELD 2","SQUARE PIXEL NUMBER BY FIELD")
tbhdu1.header["TTYPE3"]=("PIXELS CMB FIELD 3","SQUARE PIXEL NUMBER BY FIELD")
tbhdu1.header["TTYPE4"]=("PIXELS CMB FIELD 4","SQUARE PIXEL NUMBER BY FIELD")
tbhdu1.header["EXTNAME"]="SQUARE PIXELS"
tbhdu1.header['PIXTYPE']=("HEALPIX","HEALPIX pixelisation")
tbhdu1.header['ORDERING']=("RING","Pixel order scheme, either RING or NESTED")
tbhdu1.header["NSIDE"]=(nside,'Healpix Resolution paramter')
tbhdu1.header['OBJECT']=('PARTIAL','Sky coverage, either FULLSKY or PARTIAL')
tbhdu1.header['OBS_NPIX']=(len(all_pix),'Number of pixels observed')
tbhdu1.header['INDXSCHM']=('IMPLICIT','indexing : IMPLICIT of EXPLICIT')
tbhdu1.header["COORDSYS"]=('G','Pixelization coordinate system')
for i in xrange(num_wl):
cut_t,cut_q,cut_u=t_array[i][all_pix],q_array[i][all_pix],u_array[i][all_pix]
cut_dq,cut_du=sigma_q[i][all_pix],sigma_u[i][all_pix]
col_t=fits.Column(name='SIGNAL',format='1E',unit='K_{CMB}',array=cut_t)
col_q=fits.Column(name='STOKES Q',format='1E',unit='K_{CMB}',array=cut_q)
col_u=fits.Column(name='STOKES U',format='1E',unit='K_{CMB}',array=cut_u)
col_dq=fits.Column(name='Q ERROR',format='1E',unit='K_{CMB}',array=cut_dq)
col_du=fits.Column(name='U ERROR',format='1E',unit='K_{CMB}',array=cut_du)
cols=fits.ColDefs([pix_col,col_q,col_u,col_dq,col_du])
tbhdu=fits.BinTableHDU.from_columns(cols)
tbhdu.header['TFIELDS']=(5,'number of fields in each row')
tbhdu.header["TTYPE2"]=("SIGNAL","STOKES T")
tbhdu.header["EXTNAME"]="SIGNAL"
tbhdu.header['POLAR']= 'T'
tbhdu.header['POLCCONV']=('COSMO','Coord. Convention for polarisation COSMO/IAU')
tbhdu.header['PIXTYPE']=("HEALPIX","HEALPIX pixelisation")
tbhdu.header['ORDERING']=("RING","Pixel order scheme, either RING or NESTED")
tbhdu.header["NSIDE"]=(1024,'Healpix Resolution paramter')
tbhdu.header['OBJECT']=('PARTIAL','Sky coverage, either FULLSKY or PARTIAL')
tbhdu.header['OBS_NPIX']=(len(all_pix),'Number of pixels observed')
tbhdu.header['INDXSCHM']=('IMPLICIT','indexing : IMPLICIT of EXPLICIT')
tbhdu.header["COORDSYS"]=('G','Pixelization coordinate system')
tblist=fits.HDUList([prim,tbhdu])
tblist.writeto(output_prefix+'quiet_partial_simulated_{:.1f}.fits'.format(bands[i]),clobber=True)
q_head=fits.ImageHDU(np.array([t_array[i],q_array[i],u_array[i]]), name='STOKES IQU')
q_head.header['TFIELDS']=(3,'number of fields in each row')
q_head.header['TYPE1']=('SIGNAL', "STOKES I, Temperature")
q_head.header['TYPE2']='STOKES Q'
q_head.header['TYPE3']='STOKES U'
q_head.header['TUNIT1']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
q_head.header['TUNIT2']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
q_head.header['TUNIT3']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
q_head.header['TFORM1']='E'
q_head.header['TFORM1']='E'
q_head.header['TFORM2']='E'
q_head.header['EXTNAME']='STOKES IQU'
q_head.header['POLAR']= 'T'
q_head.header['POLCCONV']=('COSMO','Coord. Convention for polarisation COSMO/IAU')
q_head.header['PIXTYPE']=("HEALPIX","HEALPIX pixelisation")
q_head.header['ORDERING']=("RING","Pixel order scheme, either RING or NESTED")
q_head.header['NSIDE']=(1024,'Healpix Resolution paramter')
q_head.header['OBJECT']=('FULLSKY','Sky coverage, either FULLSKY or PARTIAL')
q_head.header['INDXSCHM']=('IMPLICIT','indexing : IMPLICIT of EXPLICIT')
q_head.header['BAD_DATA']=(hp.UNSEEN,'Sentinel value given to bad pixels')
q_head.header["COORDSYS"]=('G','Pixelization coordinate system')
#########################
theo_head=fits.ImageHDU(no_noise[i], name='No Noise IQU')
theo_head.header['TFIELDS']=(3,'number of fields in each row')
theo_head.header['TYPE1']=('SIGNAL', "STOKES I, Temperature")
theo_head.header['TYPE2']='STOKES Q'
theo_head.header['TYPE3']='STOKES U'
theo_head.header['TUNIT1']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
theo_head.header['TUNIT2']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
theo_head.header['TUNIT3']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
theo_head.header['TFORM1']='E'
theo_head.header['TFORM1']='E'
theo_head.header['TFORM2']='E'
theo_head.header['EXTNAME']='no noise iqu'
theo_head.header['POLAR']= 'T'
theo_head.header['POLCCONV']=('COSMO','Coord. Convention for polarisation COSMO/IAU')
theo_head.header['PIXTYPE']=("HEALPIX","HEALPIX pixelisation")
theo_head.header['ORDERING']=("RING","Pixel order scheme, either RING or NESTED")
theo_head.header['NSIDE']=(1024,'Healpix Resolution paramter')
theo_head.header['OBJECT']=('FULLSKY','Sky coverage, either FULLSKY or PARTIAL')
theo_head.header['INDXSCHM']=('IMPLICIT','indexing : IMPLICIT of EXPLICIT')
theo_head.header['BAD_DATA']=(hp.UNSEEN,'Sentinel value given to bad pixels')
theo_head.header["COORDSYS"]=('G','Pixelization coordinate system')
####################################
#tblist=fits.HDUList([prim,tbhdu])
err_head=fits.ImageHDU(np.array([sigma_q[i],sigma_u[i]]),name='Q/U UNCERTAINTIES')
err_head.header['TFIELDS']=(2,'number of fields in each row')
err_head.header['NSIDE']=1024
err_head.header['ORDERING']='RING'
err_head.header['TTYPE1']='SIGMA Q'
err_head.header['TTYPE2']='SIGMA U'
err_head.header['TUNIT1']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
err_head.header['TUNIT2']=('K_{CMB} Thermodynamic', 'Physical Units of Map')
err_head.header['TFORM1']='E'
err_head.header['TFORM2']='E'
err_head.header['EXTNAME']='Q/U UNCERTAINTIES'
err_head.header['PIXTYPE']=("HEALPIX","HEALPIX pixelisation")
err_head.header['OBJECT']=('FULLSKY','Sky coverage, either FULLSKY or PARTIAL')
err_head.header['INDXSCHM']=('IMPLICIT','indexing : IMPLICIT of EXPLICIT')
err_head.header['BAD_DATA']=(hp.UNSEEN,'Sentinel value given to bad pixels')
cols=fits.ColDefs([field_pix_col1,field_pix_col2,field_pix_col3,field_pix_col4])
tbhdu=fits.BinTableHDU.from_columns(cols)
tbhdu.header['TFIELDS']=(4,'number of fields in each row')
tbhdu.header["TTYPE1"]=("PIXELS CMB FIELD 1","PIXEL NUMBER BY FIELD")
tbhdu.header["TTYPE2"]=("PIXELS CMB FIELD 2","PIXEL NUMBER BY FIELD")
tbhdu.header["TTYPE3"]=("PIXELS CMB FIELD 3","PIXEL NUMBER BY FIELD")
tbhdu.header["TTYPE4"]=("PIXELS CMB FIELD 4","PIXEL NUMBER BY FIELD")
tbhdu.header["EXTNAME"]="FIELD PIXELS"
tbhdu.header['PIXTYPE']=("HEALPIX","HEALPIX pixelisation")
tbhdu.header['ORDERING']=("RING","Pixel order scheme, either RING or NESTED")
tbhdu.header["NSIDE"]=(nside,'Healpix Resolution paramter')
tbhdu.header['OBJECT']=('PARTIAL','Sky coverage, either FULLSKY or PARTIAL')
tbhdu.header['OBS_NPIX']=(len(all_pix),'Number of pixels observed')
tbhdu.header['INDXSCHM']=('IMPLICIT','indexing : IMPLICIT of EXPLICIT')
tbhdu.header["COORDSYS"]=('G','Pixelization coordinate system')
hdulist=fits.HDUList([prim,q_head,err_head,mask_head,tbhdu,tbhdu1,theo_head])
hdulist.writeto(output_prefix+"quiet_simulated_{:.1f}.fits".format(bands[i]),clobber=True)
print "quiet_simulated_{:.1f}.fits".format(bands[i])
if __name__ == '__main__':
main()