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MapBack_pol.py
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MapBack_pol.py
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import numpy as np
from scipy import signal
from scipy.interpolate import interp1d
import scipy.integrate as integrate
from scipy.special import spherical_jn, sph_harm
from scipy.signal import butter, filtfilt, iirdesign, zpk2tf, freqz, hanning
import matplotlib.pyplot as plt
import matplotlib.mlab as mlab
import h5py
import datetime as dt
import pytz
import pylab
import qpoint as qp
import healpy as hp
from camb.bispectrum import threej
import quat_rotation as qr
from scipy.optimize import curve_fit
import OverlapFunctsSrc as ofs
from numpy import cos,sin
from matplotlib import cm
from scipy.linalg import block_diag
# LIGO-specific readligo.py
import readligo as rl
import ligo_filter as lf
from gwpy.time import tconvert
from glue.segments import *
'''
LIGO ANALYSIS ROUTINES
*Fixed Setup Constants
*Basic Tools
*Data Segmenter
*Projector
*Scanner
'''
def map_in_gauss(nside_in, noise_lvl):
nside = nside_in
if noise_lvl == 1: beta = 1.
elif noise_lvl == 2: beta = 1.e-42
elif noise_lvl == 3: beta = 1.e-43
elif noise_lvl == 4: beta = 2.e-44
lmax = nside/4
alm = np.zeros(hp.Alm.getidx(lmax,lmax,lmax)+1,dtype=np.complex)
cls = hp.sphtfunc.alm2cl(alm)
cls=[1]*lmax
i=1
while i<lmax+1:
cls[i-1]=1./i/(i+1.)*2*np.pi
i+=1
#does synfast include the monopole?
#realistic case: monopole should be larger then others, then dipole 1.e-2
return (np.vstack(hp.synfast(cls, nside=nside, pol=True, new=True, verbose = False)).flatten())*beta
class Generator(object):
def __init__(self,nside, sig_name): #use nside_in!
self.nside = nside
self.lmax = self.nside/2
self.a_lm = np.zeros(hp.Alm.getidx(self.lmax,self.lmax,self.lmax)+1,dtype=complex)
if sig_name == 'mono':
#self.a_lm = np.zeros(hp.Alm.getidx(self.lmax,self.lmax,self.lmax)+1,dtype=complex)
#self.a_lm[4] = 1.
self.a_lm[0] = 1.
#cls = hp.sphtfunc.alm2cl(a_lm)
# cls=[1]*nside
# i=0
# while i<nside:
# cls[i]=1./(i+1.)**2.
# i+=1
elif sig_name == '2pol1':
#self.a_lm[4] = 1.
self.a_lm[1] = 1.
elif sig_name == '2pol2':
l = 1
m = 0
idx = hp.Alm.getidx(self.lmax,l,abs(m))
self.a_lm[idx] = 1.
l = 1
m = 1
#print self.lmax,l,abs(m)
idx = hp.Alm.getidx(self.lmax,l,abs(m))
#print idx
self.a_lm[idx] = 1.
elif sig_name == '4pol1':
l = 2
m = 0
idx = hp.Alm.getidx(self.lmax,l,abs(m))
self.a_lm[idx] = 1.
elif sig_name == '4pol2':
l = 2
m = 1
idx = hp.Alm.getidx(self.lmax,l,abs(m))
self.a_lm[idx] = 1.
l = 2
m = 2
idx = hp.Alm.getidx(self.lmax,l,abs(m))
self.a_lm[idx] = 1.
Istoke = hp.sphtfunc.alm2map(self.a_lm, nside, verbose= False)
def get_a_lm(self):
return self.a_lm
class Dect(object):
def __init__(self,nside, dect_name):
self.R_earth=6378137
self.beta = 27.2*np.pi/180.
self._nside = nside
lmax = nside/2
self.lmax = lmax
self.name = dect_name
self.Q = qp.QPoint(accuracy='low', fast_math=True, mean_aber=True)#, num_threads=1)
# Configuration: radians and metres, Earth-centered frame
if dect_name =='H1':
self._lon = -2.08405676917
self._lat = 0.81079526383
self._elev = 142.554
self._vec = np.array([-2.16141492636e+06, -3.83469517889e+06, 4.60035022664e+06])
self._alpha = (171.8)*np.pi/180.
elif dect_name =='L1':
self._lon = -1.58430937078
self._lat = 0.53342313506
self._elev = -6.574
self._vec = np.array([-7.42760447238e+04, -5.49628371971e+06, 3.22425701744e+06])
self._alpha = (243.0)*np.pi/180.
elif dect_name =='V1':
self._lon = 0.18333805213
self._lat = 0.76151183984
self._elev = 51.884
self._vec = np.array([4.54637409900e+06, 8.42989697626e+05, 4.37857696241e+06])
self._alpha = 116.5*np.pi/180. #np.radians()
elif dect_name =='G':
self._lon = 0.1710
self._lat = 0.8326
self._vec = np.array([4.2296e+6, 730394., 4.7178e+6])
self._alpha = 68.8*np.pi/180. #np.radians()
elif dect_name =='K':
self._lon = 2.39424267
self._lat = 0.63268185
self._vec = np.array([-3.7728e+6,3.4961e+6,3.77145e+6])
self._alpha = 225.0*np.pi/180. #np.radians()
#######################
elif dect_name =='A':
self._lon = 0.
self._lat = 0.
self._vec = np.array([self.R_earth,0.,0.])
self._alpha = 0. #np.radians()
elif dect_name =='B':
self._lon = np.pi/2.
self._lat = 0.
self._vec = np.array([0.,self.R_earth,0.])
self._alpha = np.pi #np.radians()
elif dect_name =='C':
self._lon = np.pi
self._lat = 0.
self._vec = np.array([-self.R_earth,0.,0.])
self._alpha = 0. #np.radians()
elif dect_name =='D':
self._lon = -np.pi/2.
self._lat = 0.
self._vec = np.array([0.,-self.R_earth,0.])
self._alpha = np.pi #np.radians()
elif dect_name =='E':
self._lon = 0.0001
self._lat = -np.pi/2.-0.0001
self._vec = np.array([0.,-self.R_earth*1.e-6,-self.R_earth])
self._alpha = 0. #np.radians()
elif dect_name =='F':
self._lon = 0.0001-0.0001
self._lat = np.pi/2.
self._vec = np.array([0.,-self.R_earth*1.e-6,self.R_earth])
self._alpha = 0. #np.radians()
else:
dect_name = __import__(dect_name)
#import name
self._lon = dect_name.lon
self._lat = dect_name.lat
self._vec = dect_name.vec
self._alpha = dect_name.alpha
self._ph = self._lon + 2.*np.pi;
self._th = self._lat + np.pi/2.
self._alpha = np.pi/180.
self._u = self.u_vec()
self._v = self.v_vec()
self.npix = hp.nside2npix(self._nside)
theta, phi = hp.pix2ang(self._nside,np.arange(self.npix))
self.Fplus = self.Fplus(theta,phi)
self.Fcross = self.Fcross(theta,phi)
self.dott = self.dott(self._vec)
# print 'fplus_int ', dect_name
# print np.sum(self.Fplus)*4.*np.pi/self.npix
# print 'fcross_int ', dect_name
# print np.sum(self.Fcross)*4.*np.pi/self.npix
# print 'fplusfplus_int ', dect_name
# print np.sum(self.Fplus*self.Fplus+self.Fcross*self.Fcross)*4.*np.pi/self.npix
# #print np.sum(self.Fcross*self.Fcross)*4.*np.pi/self.npix
#
# print 'Fplus[0]'
# print hp.map2alm(self.Fplus, lmax = lmax)[0]
#
#hp.mollview(self.Fplus)
#plt.savefig('Fp.pdf')
if lmax>0:
# cache 3j symbols
self.threej_0 = np.zeros((2*lmax+1,2*lmax+1,2*lmax+1))
self.threej_m = np.zeros((2*lmax+1,2*lmax+1,2*lmax+1,2*lmax+1,2*lmax+1))
for l in range(lmax+1):
for m in range(-l,l+1):
for lp in range(lmax+1):
lmin0 = np.abs(l - lp)
lmax0 = l + lp
self.threej_0[lmin0:lmax0+1,l,lp] = threej(l, lp, 0, 0)
for mp in range(-lp,lp+1):
# remaining m index
mpp = -(m+mp)
lmin_m = np.max([np.abs(l - lp), np.abs(m + mp)])
lmax_m = l + lp
self.threej_m[lmin_m:lmax_m+1,l,lp,m,mp] = threej(lp, l, mp, m) ###
def lon(self):
return self._lon
def lat(self):
return self._lat
def th(self):
return self._th
def ph(self):
return self._ph
def elev(self):
return self._elev
def vec(self):
return self._vec
def u_(self):
th = self._th
ph = self._ph
a = -cos(th)*cos(ph)
b = -cos(th)*sin(ph)
c = sin(th)
norm = np.sqrt(a**2+b**2+c**2)
return 1./norm * np.array([a,b,c])
def v_(self):
th = self._th
ph = self._ph
a = -sin(th)*sin(ph)
b = sin(th)*cos(ph)
c = 0.
norm = np.sqrt(a**2+b**2+c**2)
vec = np.array([a,b,c])
if norm == 0.:
norm = 1.
if self.name == 'E':
vec = np.array([0.,-1.,0.])
if self.name == 'F':
vec = np.array([0.,1.,0.])
return 1./norm * vec
def u_vec(self):
a_p = self._alpha - np.pi/4.
return self.u_()*cos(a_p) - self.v_()*sin(a_p)
def v_vec(self):
a_p = self._alpha - np.pi/4.
return self.u_()*sin(a_p) + self.v_()*cos(a_p)
def d_tens(self):
return 0.5*(np.outer(self._u,self._u)-np.outer(self._v,self._v))
def Fplus(self,theta,phi):
d_t = self.d_tens()
res=0
i=0
while i<3:
j=0
while j<3:
res=res+d_t[i,j]*ofs.eplus(theta,phi,i,j)
j=j+1
i=i+1
return res
def Fcross(self,theta,phi):
d_t = self.d_tens()
res=0
i=0
while i<3:
j=0
while j<3:
res=res+d_t[i,j]*ofs.ecross(theta,phi,i,j)
j=j+1
i=i+1
return res
def get_Fplus_lm(self):
return hp.map2alm(self.Fplus,self.lmax, pol=False)
def get_Fcross_lm(self):
return hp.map2alm(self.Fcross,self.lmax, pol=False)
def rot_Fplus_lm(self,q_x):
rot_m_array = self.rotation_pix(np.arange(self.npix), q_x) #rotating around the bisector of the gc
Fplus_rot = self.Fplus[rot_m_array]
return hp.map2alm(Fplus_rot,self.lmax, pol=False)
def rot_Fcross_lm(self,q_x):
rot_m_array = self.rotation_pix(np.arange(self.npix), q_x) #rotating around the bisector of the gc
Fcross_rot = self.Fcross[rot_m_array]
return hp.map2alm(Fcross_rot,self.lmax, pol=False)
def dott(self,x_vect):
m = hp.pix2ang(self._nside,np.arange(self.npix))
m_vect = np.array(ofs.m(m[0], m[1])) #fits *my* convention: 0<th<pi, like for hp
#print self.R_earth*np.dot(m_vect.T,x_vect)
return np.dot(m_vect.T,x_vect) #Rearth is in x_vect!
def get_Fplus(self):
return self.Fplus
def get_Fcross(self):
return self.Fcross
def get_dott(self):
return self.dott
def coupK(self,l,lp,lpp,m,mp):
return np.sqrt((2*l+1.)*(2*lp+1.)*(2*lpp+1.)/4./np.pi)*self.threej_0[lpp,l,lp]*self.threej_m[lpp,l,lp,m,mp]
def rotation_pix(self,m_array,n): #rotates string of pixels m around QUATERNION n
nside = hp.npix2nside(len(m_array))
dec_quatmap,ra_quatmap = hp.pix2ang(nside,m_array) #
quatmap = self.Q.radecpa2quat(np.rad2deg(ra_quatmap), np.rad2deg(dec_quatmap-np.pi*0.5), 0.*np.ones_like(ra_quatmap)) #but maybe orientation here is actually the orientation of detector a, b? in which case, one could input it as a variable!
quatmap_rotated = np.ones_like(quatmap)
i = 0
while i < len(m_array):
quatmap_rotated[i] = qr.quat_mult(n,quatmap[i])
i+=1
quatmap_rot_pix = self.Q.quat2pix(quatmap_rotated,nside)[0] #rotated pixel list (polarizations are in [1])
return quatmap_rot_pix
def simulate(self,freqs,q_x,typ = 'mono'):
sim = []
nside = self._nside
gen = Generator(nside,typ)
lmax = self.lmax
pix_x = self.Q.quat2pix(q_x, nside=nside, pol=True)[0]
th_x, ph_x = hp.pix2ang(nside,pix_x)
hplm = gen.get_a_lm()
hclm = gen.get_a_lm()
Fplm = self.rot_Fplus_lm(q_x)
Fclm = self.rot_Fcross_lm(q_x)
c = 3.e8
if typ == 'mono':
lminl = 0
lmaxl = 0
lmaxm = 0
elif typ == '2pol1':
lminl = 1
lmaxl = 1
lmaxm = 0
elif typ == '2pol2':
lminl = 1
lmaxl = 1
lmaxm = 1
elif typ == '4pol1':
lminl = 2
lmaxl = 2
lmaxm = 0
elif typ == '4pol2':
lminl = 2
lmaxl = 2
lmaxm = 2
else:
lmaxl = lmax
lminl = 0
lmaxm = 0
sample_freqs = freqs[::500]
sample_freqs = np.append(sample_freqs,freqs[-1])
#fixed poles
for f in sample_freqs: #NEEDS TO CALL GEOMETRY METHINKS
sim_f = 0.
for l in range(lminl,lmaxl+1): #
for m in range(-lmaxm,lmaxm+1): #
idx_lm = hp.Alm.getidx(lmax,l,abs(m))
for lp in range(lmax+1): #
for mp in range(-lp,lp+1): #
idx_lpmp = hp.Alm.getidx(lmax,lp,abs(mp))
#print '(',idx_lm, idx_ltmt, ')'
# remaining m index
mpp = -(m+mp)
lmin_m = np.max([np.abs(l - lp), np.abs(m + mp)])
lmax_m = l + lp
for idxl, lpp in enumerate(range(lmin_m,lmax_m+1)):
if m>0:
if mp>0:
sim_f+=4*np.pi*(0.+1.j)**lpp*(spherical_jn(lpp, 2.*np.pi*(f)*self.R_earth/c)
*np.conj(sph_harm(mpp, lpp, th_x, ph_x))*self.coupK(lp,l,lpp,mp,m)
*(hplm[idx_lm]*Fplm[idx_lpmp]+hclm[idx_lm]*Fclm[idx_lpmp]) )
else:
sim_f+=4*np.pi*(0.+1.j)**lpp*(spherical_jn(lpp, 2.*np.pi*(f)*self.R_earth/c)
*np.conj(sph_harm(mpp, lpp, th_x, ph_x))*self.coupK(lp,l,lpp,mp,m)
*(hplm[idx_lm]*np.conj(Fplm[idx_lpmp])+hclm[idx_lm]*np.conj(Fclm[idx_lpmp])) )*(-1)**mp
else:
if mp>0:
sim_f+=4*np.pi*(0.+1.j)**lpp*(spherical_jn(lpp, 2.*np.pi*(f)*self.R_earth/c)
*np.conj(sph_harm(mpp, lpp, th_x, ph_x))*self.coupK(lp,l,lpp,mp,m)
*(np.conj(hplm[idx_lm])*Fplm[idx_lpmp]+np.conj(hclm[idx_lm])*Fclm[idx_lpmp]) )*(-1)**m
else:
sim_f+=4*np.pi*(0.+1.j)**lpp*(spherical_jn(lpp, 2.*np.pi*(f)*self.R_earth/c)
*np.conj(sph_harm(mpp, lpp, th_x, ph_x))*self.coupK(lp,l,lpp,mp,m)
*(np.conj(hplm[idx_lm])*np.conj(Fplm[idx_lpmp])+np.conj(hclm[idx_lm])*np.conj(Fclm[idx_lpmp])) )*(-1)**m*(-1)**mp
sim.append(sim_f)
sim_func = interp1d(sample_freqs,sim)
#phases = np.exp(1.j*np.random.random_sample(len(freqs))*2.*np.pi)/np.sqrt(2.)
sim = np.array(sim_func(freqs))#*np.array(phases)
return sim#len(freqs)*4 #for the correct normalisation
class Telescope(object):
def __init__(self, nside_in,nside_out,fs, low_f, high_f, dects, maptyp, this_path, noise_lvl=1, alpha=3., f0=1., data_run = 'O1',npol=1): #Dect list
self.Q = qp.QPoint(accuracy='low', fast_math=True, mean_aber=True)#, num_threads=1)
self.pol = True #make this obsolete
self.npol = int(npol)
self.this_path = this_path
self.data_run = data_run
self.R_earth = 6378137
self._nside_in = nside_in
self._nside_out = nside_out
self.fs = fs
self.low_f = low_f
self.high_f = high_f
self.alpha = alpha
self.f0 = f0
# ********* Fixed Setup Constants *********
# Configuration: radians and metres, Earth-centered frame
#dects = ['H1','L1','V1']
self.detectors = np.array([])
for d in dects:
self.detectors = np.append(self.detectors,Dect(nside_in,d))
self.ndet = len(self.detectors)
##self.H1 = Dect(nside_in,'H1')
##self.L1 = Dect(nside_in, 'L1')
##self.V1 = Dect(nside_in, 'V1')
'''
make these into lists probably:
'''
#for dect in listdect:
# self.vec2azel(dect.vec,self.L1.vec())
self._nbase = int(self.ndet*(self.ndet-1)/2)
self.combo_tuples = []
for j in range(1,self.ndet):
for k in range(j):
self.combo_tuples.append([k,j])
# work out viewing angle of baseline H1->L1
self.az_b = np.zeros(self._nbase)
self.el_b = np.zeros(self._nbase)
self.baseline_length = np.zeros(self._nbase)
#self.vec2azel(self.H1.vec(),self.L1.vec())
# position of mid point and angle of great circle connecting to observatories
self.latMid = np.zeros(self._nbase)
self.lonMid = np.zeros(self._nbase)
self.azMid = np.zeros(self._nbase)
#boresight and baseline quaternions
for i in range(self._nbase):
a, b = self.combo_tuples[i]
self.az_b[i], self.el_b[i], self.baseline_length[i] = self.vec2azel(self.detectors[a].vec(),self.detectors[b].vec())
self.latMid[i], self.lonMid[i], self.azMid[i] = self.midpoint(self.detectors[a].lat(),self.detectors[a].lon(),self.detectors[b].lat(),self.detectors[b].lon())
# gamma functs
#np.savez('baseline_lengths.npz', baseline_length = self.baseline_length, dects = dects, combos = self.combo_tuples )
#print 'saved baseline_lengths.npz'
self.npix_in = hp.nside2npix(self._nside_in)
self.npix_out = hp.nside2npix(self._nside_out)
# calculate overlap functions
# TODO: integrate this with general detector table
#theta, phi = hp.pix2ang(self._nside,np.arange(self.npix))
self.gammaI = []
self.gammaV = []
self.gammaQ = []
self.gammaU = []
self.gammaMatrix = []
#gammas are all real ? - gammaV should have an i in front?
for i in range(self._nbase):
a, b = self.combo_tuples[i]
self.gammaI.append((self.detectors[a].get_Fplus()*self.detectors[b].get_Fplus()+self.detectors[a].get_Fcross()*self.detectors[b].get_Fcross()))
#self.gammaI.append((5./(8.*np.pi))*(self.detectors[a].get_Fplus()*self.detectors[b].get_Fplus()+self.detectors[a].get_Fcross()*self.detectors[b].get_Fcross()))
if self.pol == True:
self.gammaV.append(1.j*(self.detectors[a].get_Fplus()*self.detectors[b].get_Fcross()-self.detectors[a].get_Fcross()*self.detectors[b].get_Fplus())) #edit : according to seto-taruya, it's 1.j; used to be a -1.! possibly due to CMB-convention?
self.gammaQ.append((self.detectors[a].get_Fplus()*self.detectors[b].get_Fplus()-self.detectors[a].get_Fcross()*self.detectors[b].get_Fcross()))
self.gammaU.append((self.detectors[a].get_Fplus()*self.detectors[b].get_Fcross()+self.detectors[a].get_Fcross()*self.detectors[b].get_Fplus()))
#self.gammaMatrix.append(block_diag(self.gammaI[i], self.gammaV[i],self.gammaQ[i],self.gammaU[i]))
#Simulation tools
self.noise_lvl = noise_lvl
self.beta = 1.
# plt.figure()
# hp.mollview(self.gammaI[0])
# plt.savefig('gammai.pdf' )
# plt.figure()
# hp.mollview(-1.j*self.gammaV[0])
# plt.savefig('gammav.pdf' )
if noise_lvl == 1: beta = 1.
elif noise_lvl == 2: beta = 1.e-42
elif noise_lvl == 3: beta = 1.e-43
elif noise_lvl == 4: beta = 2.e-44
self.beta = beta
#print 'beta is', self.beta
if self.npol ==1:
input_map = np.array([self.get_map_in(maptyp)])
elif self.npol ==2:
Iscale = 2.
Vscale = 1.
Imap = Iscale * self.get_map_in(maptyp)
Vmap = Vscale * self.get_map_in(maptyp)
input_map = np.array([Imap,Vmap])#.flatten()
elif self.npol == 4:
# these should come from the master
Iscale = 2.
Vscale = 0.#1.
Qscale = 0.#1.
Imap = Iscale * self.get_map_in(maptyp)
Vmap = Vscale * self.get_map_in(maptyp)
Qmap = Qscale * self.get_map_in(maptyp)
Umap = Qmap #np.sqrt(Imap**2-Vmap**2-Qmap**2)
## negative maps..??
input_map = np.array([Imap,Vmap,Qmap,Umap])#.flatten()
#else: print 'npol doesnt match known pol modes'
self.map_in = input_map.copy()
#print self.map_in
# plt.figure()
# hp.mollview(self.map_in)
# plt.savefig('map_in.pdf' )
# ********* Maps IN *************
def get_map_in(self, maptyp):
nside = self._nside_in
beta = self.beta
lmax = nside/2 #or not?
alm = np.zeros(hp.Alm.getidx(lmax,lmax,lmax)+1,dtype=np.complex)
if maptyp == None:
map_in = hp.alm2map(alm,nside=self._nside_in,verbose = False)
elif maptyp == '1pole':
idx = hp.Alm.getidx(lmax,0,0)
alm[idx] = (1.+ 0.j)*beta
map_in = hp.alm2map(alm,nside=self._nside_in,verbose = False)
elif maptyp == '2pole':
idx = hp.Alm.getidx(lmax,1,1)
alm[idx] = (1.+ 0.j)*beta
map_in = hp.alm2map(alm,nside=self._nside_in,verbose = False)
elif maptyp == '2pole1':
idx = hp.Alm.getidx(lmax,1,0)
alm[idx] = (1.+ 0.j)*beta
idx = hp.Alm.getidx(lmax,1,1)
alm[idx] = (.58+ .73j)*beta
#idx = hp.Alm.getidx(lmax,1,1)
#alm[idx] = 1.+ 0.j
map_in = hp.alm2map(alm,nside=self._nside_in,verbose = False)
elif maptyp == '4pole':
idx = hp.Alm.getidx(lmax,2,2)
alm[idx] = (1.+ 0.j)*beta
map_in = hp.alm2map(alm,nside=self._nside_in,verbose = False)
elif maptyp == '8pole':
idx = hp.Alm.getidx(lmax,3,3)
alm[idx] = (1.+ 0.j)*beta
map_in = hp.alm2map(alm,nside=self._nside_in,verbose = False)
elif maptyp == '8pole1':
idx = hp.Alm.getidx(lmax,3,3)
alm[idx] = (1.+ .72j)*beta
idx = hp.Alm.getidx(lmax,3,2)
alm[idx] = (.58+ .67j)*beta
map_in = hp.alm2map(alm,nside=self._nside_in,verbose = False)
elif maptyp == 'gauss':
map_file = np.load('%s/map_in%s.npz' % (self.this_path,self.noise_lvl))
map_in = map_file['map_in']
elif maptyp == 'checkfile':
checkdata = np.load(self.this_path + '/checkfile.npz')
map_in = checkdata['map_in']
map_in = hp.ud_grade(map_in,nside_out = self._nside_in)
# elif maptyp == 'gauss2':
# lmax = lmax
# cls = hp.sphtfunc.alm2cl(alm)
#
# cls=[1]*lmax
# i=0
# while i<lmax:
# cls[i]=1./(i+1.)**2.
# i+=1
#
# map_in = (np.vstack(hp.synfast(cls, nside=nside, pol=True, new=True)).flatten())*alpha
elif maptyp == 'planck' or maptyp == 'planck_poi':
fwhm = 5*np.pi/180.
planckmap = hp.read_map('%s/COM_CompMap_dust-commander_0256_R2.00.fits' % self.this_path)
planckmap = hp.sphtfunc.smoothing(planckmap,fwhm = fwhm, verbose = False)
map_in = (hp.ud_grade(planckmap,nside_out = self._nside_in))
max_in = max(map_in)
map_in = map_in/max_in*beta
return map_in
# ********* Basic Tools *********
def gaussian(self,x, mu, sig):
return np.exp(-np.power(x - mu, 2.) / (2 * np.power(sig, 2.)))
def halfgaussian(self,x, mu, sig):
out = np.ones_like(x)
out[int(mu):]= np.exp(-np.power(x[int(mu):] - mu, 2.) / (2 * np.power(sig, 2.)))
return out
def owindow(self,l):
x = np.linspace(0.0, l, num=l)
gauss_lo = self.halfgaussian(x,2.*l/82.,l/82.)
gauss_hi = self.halfgaussian(x,l-l/82.*6.,l/82.)
win = (1.-gauss_lo)*(gauss_hi)
# plt.figure()
# plt.plot(win, color = 'r')
# plt.savefig('win.png' )
return win
def ffit(self,f,c,d,e):
return e*((c/(0.1+f))**(4.)+(f/d)**(2.)+1.)#w*(1.+(f_k*f**(-1.))**1.+(f/h_k)**b)
def ffit2(self,f,c,d,e):
return e*((c/(0.1+f))**(6.)+(f/d)**(2.)+1.)#w*(1.+(f_k*f**(-1.))**1.+(f/h_k)**b)
def rotation_pix(self,m_array,n): #rotates string of pixels m around QUATERNION n
nside = hp.npix2nside(len(m_array))
dec_quatmap,ra_quatmap = hp.pix2ang(nside,m_array) #
quatmap = self.Q.radecpa2quat(np.rad2deg(ra_quatmap), np.rad2deg(dec_quatmap-np.pi*0.5), np.zeros_like(ra_quatmap)) #but maybe orientation here is actually the orientation of detector a, b? in which case, one could input it as a variable!
quatmap_rotated = np.ones_like(quatmap)
i = 0
while i < len(m_array):
quatmap_rotated[i] = qr.quat_mult(n,quatmap[i]) ###
i+=1
quatmap_rot_pix, sin2psi, cos2psi = self.Q.quat2pix(quatmap_rotated,nside) #rotated pixel list (polarizations are in [1])
sin4psi = 2*sin2psi*cos2psi
cos4psi = cos2psi**2 - sin2psi**2
return quatmap_rot_pix, sin4psi, cos4psi
def E_f(self,f,alpha=3.,f0=1.):
#print 'alpha', alpha, 'f0', f0
#exit()
return (f/f0)**(alpha-3.)
def coupK(self,l,lp,lpp,m,mp):
return np.sqrt((2*l+1.)*(2*lp+1.)*(2*lpp+1.)/4./np.pi)*self.threej_0[lpp,l,lp]*self.threej_m[lpp,l,lp,m,mp]
def vec2azel(self,v2,v1): ## edit!! changed INPUT ANGLES to suit our convention (CMB) - make sure this is what we want. WAS V1,V2
# calculate the viewing angle from location at v1 to v2
# Cos(elevation+90) = (x*dx + y*dy + z*dz) / Sqrt((x^2+y^2+z^2)*(dx^2+dy^2+dz^2))
# Cos(azimuth) = (-z*x*dx - z*y*dy + (x^2+y^2)*dz) / Sqrt((x^2+y^2)(x^2+y^2+z^2)(dx^2+dy^2+dz^2))
# Sin(azimuth) = (-y*dx + x*dy) / Sqrt((x^2+y^2)(dx^2+dy^2+dz^2))
v = v2-v1
d = np.sqrt(np.dot(v,v))
cos_el = np.dot(v2,v)/np.sqrt(np.dot(v2,v2)*np.dot(v,v))
el = np.arccos(cos_el)-np.pi/2.
cos_az = (-v2[2]*v2[0]*v[0] - v2[2]*v2[1]*v[1] + (v2[0]**2+v2[1]**2)*v[2])/np.sqrt((v2[0]**2+v2[1]**2)*np.dot(v2,v2)*np.dot(v,v))
sin_az = (-v2[1]*v[0] + v2[0]*v[1])/np.sqrt((v2[0]**2+v2[1]**2)*np.dot(v,v))
az = np.arctan2(sin_az,cos_az)
return az, el, d
def midpoint(self,lat1,lon1,lat2,lon2):
# http://www.movable-type.co.uk/scripts/latlong.html
Bx = np.cos(lat2) * np.cos(lon2-lon1)
By = np.cos(lat2) * np.sin(lon2-lon1)
latMid = np.arctan2(np.sin(lat1) + np.sin(lat2),np.sqrt((np.cos(lat1)+Bx)*(np.cos(lat1)+Bx) + By*By))
lonMid = lon1 + np.arctan2(By, np.cos(lat1) + Bx)
# bearing of great circle at mid point (azimuth wrt local North)
y = np.sin(lon2-lonMid) * np.cos(lat2);
x = np.cos(latMid)*np.sin(lat2) - np.sin(latMid)*np.cos(lat2)*np.cos(lon2-lonMid);
brng = np.degrees(np.arctan2(y, x));
return latMid,lonMid, brng
def geometry(self,ct_split, pol = False): #ct_split = ctime_i
#returns the baseline pixel p and the boresight quaternion q_n
nside = self._nside_in
mid_idx = int(len(ct_split)/2)
q_b = []
q_n = []
p = np.zeros(self._nbase, dtype = int)
s2p = np.zeros(self._nbase)
c2p = np.zeros(self._nbase)
n = np.zeros_like(p)
for i in range(self._nbase):
a, b = self.combo_tuples[i]
q_b.append(self.Q.rotate_quat(self.Q.azel2bore(np.degrees(self.az_b[i]), np.degrees(self.el_b[i]), None, None, np.degrees(self.detectors[b].lon()), np.degrees(self.detectors[b].lat()), ct_split[mid_idx])[0]))
q_n.append(self.Q.rotate_quat(self.Q.azel2bore(0., 90.0, None, None, np.degrees(self.lonMid[i]), np.degrees(self.latMid[i]), ct_split[mid_idx])[0]))
p[i], s2p[i], c2p[i] = self.Q.quat2pix(q_b[i], nside=nside, pol=True)
n[i] = self.Q.quat2pix(q_n[i], nside=nside, pol=True)[0]
#p, s2p, c2p = self.Q.quat2pix(q_b, nside=nside, pol=True)
#n, s2n, c2n = self.Q.quat2pix(q_n, nside=nside, pol=True)
#theta_b, phi_b = hp.pix2ang(nside,p)
if pol == False: return p, q_n, n
else : return p, s2p, c2p, q_n, n
def geometry_up(self,ct_split, pol = False): #ct_split = ctime_i
#returns the baseline pixel p and the boresight quaternion q_n
nside = self._nside_in*8
#print 'nside for bpix is: ' , nside
mid_idx = int(len(ct_split)/2)
q_b = []
q_n = []
p = np.zeros(self._nbase, dtype = int)
s2p = np.zeros(self._nbase)
c2p = np.zeros(self._nbase)
n = np.zeros_like(p)
for i in range(self._nbase):
a, b = self.combo_tuples[i]
q_b.append(self.Q.rotate_quat(self.Q.azel2bore(np.degrees(self.az_b[i]), np.degrees(self.el_b[i]), None, None, np.degrees(self.detectors[b].lon()), np.degrees(self.detectors[b].lat()), ct_split[mid_idx])[0]))
q_n.append(self.Q.rotate_quat(self.Q.azel2bore(0., 90.0, None, None, np.degrees(self.lonMid[i]), np.degrees(self.latMid[i]), ct_split[mid_idx])[0]))
p[i], s2p[i], c2p[i] = self.Q.quat2pix(q_b[i], nside=nside, pol=True)
n[i] = self.Q.quat2pix(q_n[i], nside=nside, pol=True)[0]
#p, s2p, c2p = self.Q.quat2pix(q_b, nside=nside, pol=True)
#n, s2n, c2n = self.Q.quat2pix(q_n, nside=nside, pol=True)
#theta_b, phi_b = hp.pix2ang(nside,p)
if pol == False: return p, q_n, n
else : return p, s2p, c2p, q_n, n
def geometry_sim(self,ct_split, pol = False): #ct_split = ctime_i
#returns the baseline pixel p and the boresight quaternion q_n
nside = self._nside_in
mid_idx = int(len(ct_split)/2)
q_xes = []
p = np.zeros(self._nbase, dtype = int)
for i in range(self.ndet):
q_xes.append(self.Q.rotate_quat(self.Q.azel2bore(0., 90.0, None, None, np.degrees(self.detectors[i].lon()), np.degrees(self.detectors[i].lat()), ct_split[mid_idx])[0]))
#n[i] = self.Q.quat2pix(q_n[i], nside=nside, pol=True)[0]
#p, s2p, c2p = self.Q.quat2pix(q_b, nside=nside, pol=True)
#n, s2n, c2n = self.Q.quat2pix(q_n, nside=nside, pol=True)
#theta_b, phi_b = hp.pix2ang(nside,p)
return q_xes
# **************** Whitening Modules ***************
def poissonify(self,map_in):
norm = max(map_in)#/2. #(such that: map/norm will have max value 2)
map_norm = map_in/norm
map_poi = []
for pix in range(len(map_in)):
map_poi.append(np.random.poisson(map_norm[pix]))
hp.write_map('map_poi.fits',np.array(map_poi))
# exit()
return np.array(map_poi)#*norm
def rotation_gamma(self, nbase,rot_m_array,sin4psi,cos4psi ):
#this can be translated with einsum
npix_in = hp.nside2npix(self._nside_in)
# gamma_rot[pol][pix]
if self.pol == False: gamma_rot = [self.gammaI[nbase][rot_m_array]]
else:
gamma_rot = 4*[np.zeros(npix_in)]
gamma_rot[0] = self.gammaI[nbase][rot_m_array]
gamma_rot[1] = self.gammaV[nbase][rot_m_array] #1.j*((-1.j*self.gammaV[nbase])[rot_m_array])
gamma_rot[2] = cos4psi*self.gammaQ[nbase][rot_m_array] - sin4psi*self.gammaU[nbase][rot_m_array]
gamma_rot[3] = cos4psi*self.gammaU[nbase][rot_m_array] + sin4psi*self.gammaQ[nbase][rot_m_array]
return gamma_rot[0:self.npol]
# def cutout(self,x, freqs,low = 20, high = 300):
def simbase(self,freqs,q_n,pix_b,nbase,poi = False):
npix_in = hp.nside2npix(self._nside_in)
delta_freq = (freqs[1] - freqs[0]) #1.*self.fs/len(freqs)
window = np.ones_like(freqs) #might make sense with a window =/ box
rot_m_array, sin4psi, cos4psi = self.rotation_pix(np.arange(npix_in), q_n)
gamma_rot = self.rotation_gamma(nbase,rot_m_array,sin4psi,cos4psi)
# hp.mollview(gammaI_rot)
# plt.savefig('gammaI_rot.pdf')
# hp.mollview(gammaI_rot)
# plt.savefig('gammaI_rot.pdf')
vec_p_in = hp.pix2vec(self._nside_in,np.arange(npix_in))
vec_b = hp.pix2vec(self._nside_in,pix_b)
bdotp_in = 2.*np.pi*np.dot(vec_b,vec_p_in)*self.baseline_length[0]/3.e8 # edit ! self.R_earth
df = np.zeros_like(freqs, dtype = complex)
df1 = np.zeros_like(freqs, dtype = complex)
map_in = self.map_in
#maprot = np.einsum('ij,j->i',gamma_rot, map_in)