for ipix in xrange(0, npix):
Bis += Esti_Map[i, ipix] * Esti_Map[
j, ipix] * Esti_Map[k, ipix] #*Binary_Mask[ipix]
# All sky correction
Bis /= (4.0 * np.pi * npix) #np.sum(Binary_Mask))
# Counting triplets in given bin
tripCount = count_triplet(i1, i3)
Bis /= (1.0 * tripCount)
# Angle avg Bispectrum Assumes statistical isotropy in angle like in CMB
angAvg_bis = Bis / alpha
# Normalized bispectrum Given in Komatsu et. al.1998 COBE DMR
norm_bis = abs(angAvg_bis) / (Cl[i1] * Cl[i2] *
Cl[i3])**0.5
# Variance in Bispectrum still not sure about this calcualtion
varb = g(i1, i2, i3) * (
((2 * i1 + 1) * (2 * i2 + 1) * (2 * i3 + 1)) /
(4. * np.pi)) * wigner**2 * Cl[i1] * Cl[i2] * Cl[i3]
varb /= (1.0 * tripCount**2.0)
f.write(
"%0.6e\t%0.6e\t%0.6e\t%0.6e\t%0.6e\t%0.6e\t%0.6e\t%d\t%d\t%d\t%d\n"
% (Bis, angAvg_bis, norm_bis, varb, Cl[i1], Cl[i2],
Cl[i3], i1, i2, i3, tripCount))
wig.wig_temp_free()
wig.wig_table_free()
class binned_bispectrum:
map_making.nside_f_est = 512
map_making.masking = 'No'
map_making.apodization = 'No'
wig.wig_table_init(1000)
wig.wig_temp_init(1000)
# binned map equation(6) casaponsa et. al.
def __init__(self,
Inp_alm_l,
Inp_alm_nl,
inp_bin,
inp_fNL,
NSIDE=1024,
LMAX=2500):
self.Inp_alm_l = Inp_alm_l
self.Inp_alm_nl = Inp_alm_nl
self.inp_bin = inp_bin
self.Nbins = len(inp_bin)
self.LMAX = LMAX
self.FNL = inp_fNL
self.NSIDE = NSIDE
test1 = map_making(self.NSIDE)
self.esti_map, self.ap_ma, self.binL = test1.binned_map(
self.Nbins,
self.LMAX,
self.inp_bin,
self.FNL,
self.Inp_alm_l,
self.Inp_alm_nl,
beam=None,
map_type='Non gaussian',
beam_corr=None)
self.nbin = len(inp_bin)
self.npix = hp.nside2npix(self.NSIDE)
self.bis = list()
self.I = list()
self.J = list()
self.K = list()
self.trip_count = list()
def bispectrum(self):
"""
:rtype: object
:return:
"""
for i in xrange(0, self.nbin - 1):
for j in xrange(i, self.nbin - 1):
for k in xrange(j, self.nbin - 1):
if np.min(self.binL[k]) - np.max(self.binL[j]) <= np.max(self.binL[i]) <= np.max(self.binL[k]) \
+ np.max(self.binL[j]):
temp = summation(self.esti_map[i, :],
self.esti_map[j, :],
self.esti_map[k, :], self.ap_ma,
self.npix)
self.trip_count.append(
count_triplet(np.min(self.binL[k]),
np.max(self.binL[i])))
self.bis.append(temp)
self.I.append(i)
self.J.append(j)
self.K.append(k)
self.bis = np.asarray(self.bis)
self.I = np.asarray(self.I)
self.J = np.asarray(self.J)
self.K = np.asarray(self.K)
self.trip_count = np.asarray(self.trip_count)
return self.bis, self.I, self.J, self.K, self.trip_count
wig.wig_temp_free()
wig.wig_table_free()