def getSamples(graceid,
mass1,
mass2,
chi1,
network_snr,
samples,
PSD,
fmin=30,
NMcs=5,
NEtas=5,
NChis=5,
mass1_cut=5.0,
chi1_cut=0.05,
lowMass_approx='lalsim.SpinTaylorT4',
highMass_approx='lalsim.IMRPhenomPv2',
Forced=False,
logFile=False,
saveData=False,
plot=False,
path=False,
show=False):
m1_SI = mass1 * lal.MSUN_SI
m2_SI = mass2 * lal.MSUN_SI
# min_mc_factor, max_mc_factor = 0.9, 1.1
min_mc_factor, max_mc_factor = 0.98, 1.02
min_eta, max_eta = 0.05, 0.25
min_chi1, max_chi1 = -0.99, 0.99
# Control evaluation of the effective Fisher grid
# NMcs = 10
# NEtas = 10
# NChis = 10
# match_cntr = 0.9 # Fill an ellipsoid of match = 0.9
bank_min_match = 0.97
match_cntr = np.min(
[np.max([0.9, 1 - 9.2 / 2 / network_snr**2]),
bank_min_match]) ## Richard's suggestion
# wide_match = 1 - (1 - match_cntr)**(2/3.0)
wide_match = match_cntr * 0.8 ### Richard's suggestion
fit_cntr = match_cntr # Do the effective Fisher fit with pts above this match
Nrandpts = samples # Requested number of pts to put inside the ellipsoid
template_min_freq = fmin ### This needs to be discussed
ip_min_freq = fmin ### This needs to be discussed
lambda1, lambda2 = 0, 0
#
# Setup signal and IP class
#
param_names = ['Mc', 'eta', 'spin1z']
McSIG = lsu.mchirp(m1_SI, m2_SI)
etaSIG = lsu.symRatio(m1_SI, m2_SI)
chiSIG = chi1
if logFile:
log = open(logFile, 'a') ### Generate log file
if Forced + (mass1 > mass1_cut) * (
chi1 > chi1_cut
): ## If forced to use the IMR waveform, or if the mass2 and spin1z values are above the cut.
if logFile:
log.writelines(
str(datetime.datetime.today()) + '\t' +
'Using IMRPhenomPv2 approximation.' + '\n')
else:
print 'Using IMRPhenomPv2 approximation.'
PSIG = lsu.ChooseWaveformParams(m1=m1_SI,
m2=m2_SI,
spin1z=chi1,
lambda1=lambda1,
lambda2=lambda2,
fmin=template_min_freq,
approx=eval(highMass_approx))
else:
if logFile:
log.writelines(
str(datetime.datetime.today()) + '\t' +
'Using SpinTaylorT4 approximation.' + '\n')
else:
print 'Using SpinTaylorT4 approximation.'
PSIG = lsu.ChooseWaveformParams(m1=m1_SI,
m2=m2_SI,
spin1z=chi1,
lambda1=lambda1,
lambda2=lambda2,
fmin=template_min_freq,
approx=eval(lowMass_approx))
# Find a deltaF sufficient for entire range to be explored
PTEST = PSIG.copy()
# Check the waveform generated in the corners for the
# longest possible waveform
PTEST.m1, PTEST.m2 = lsu.m1m2(McSIG * min_mc_factor, min_eta)
deltaF_1 = lsu.findDeltaF(PTEST)
PTEST.m1, PTEST.m2 = lsu.m1m2(McSIG * min_mc_factor, max_eta)
deltaF_2 = lsu.findDeltaF(PTEST)
# set deltaF accordingly
PSIG.deltaF = min(deltaF_1, deltaF_2)
PTMPLT = PSIG.copy()
psd_map = common_cl.parse_cl_key_value(PSD)
for inst, psdfile in psd_map.items():
if psd_map.has_key(psdfile):
psd_map[psdfile].add(inst)
else:
psd_map[psdfile] = set([inst])
del psd_map[inst]
for psdf, insts in psd_map.iteritems():
xmldoc = utils.load_filename(psdf,
contenthandler=series.PSDContentHandler)
# FIXME: How to handle multiple PSDs
for inst in insts:
psd = series.read_psd_xmldoc(xmldoc, root_name=None)[inst]
psd_f_high = len(psd.data.data) * psd.deltaF
f = np.arange(0, psd_f_high, psd.deltaF)
fvals = np.arange(0, psd_f_high, PSIG.deltaF)
eff_fisher_psd = np.interp(fvals, f, psd.data.data)
analyticPSD_Q = False
freq_upper_bound = np.min(
[2000.0, (psd.data.length) * (psd.deltaF) * 0.98])
print 'freq_upper_bound = ' + str(freq_upper_bound)
IP = lsu.Overlap(fLow=ip_min_freq,
fMax=freq_upper_bound,
deltaF=PSIG.deltaF,
psd=eff_fisher_psd,
analyticPSD_Q=analyticPSD_Q)
hfSIG = lsu.norm_hoff(PSIG, IP)
# Find appropriate parameter ranges
min_mc = McSIG * min_mc_factor
max_mc = McSIG * max_mc_factor
param_ranges = eff.find_effective_Fisher_region(
PSIG, IP, wide_match, param_names,
[[min_mc, max_mc], [min_eta, max_eta], [min_chi1, max_chi1]])
# setup uniform parameter grid for effective Fisher
pts_per_dim = [NMcs, NEtas, NChis]
Mcpts, etapts, chipts = eff.make_regular_1d_grids(param_ranges,
pts_per_dim)
etapts = map(lsu.sanitize_eta, etapts)
McMESH, etaMESH, chiMESH = eff.multi_dim_meshgrid(Mcpts, etapts, chipts)
McFLAT, etaFLAT, chiFLAT = eff.multi_dim_flatgrid(Mcpts, etapts, chipts)
dMcMESH = McMESH - McSIG
detaMESH = etaMESH - etaSIG
dchiMESH = chiMESH - chiSIG
dMcFLAT = McFLAT - McSIG
detaFLAT = etaFLAT - etaSIG
dchiFLAT = chiFLAT - chiSIG
grid = eff.multi_dim_grid(Mcpts, etapts, chipts)
# Change units on Mc
dMcFLAT_MSUN = dMcFLAT / lal.MSUN_SI
dMcMESH_MSUN = dMcMESH / lal.MSUN_SI
McMESH_MSUN = McMESH / lal.MSUN_SI
McSIG_MSUN = McSIG / lal.MSUN_SI
# Evaluate ambiguity function on the grid
rhos = np.array(
eff.evaluate_ip_on_grid(hfSIG, PTMPLT, IP, param_names, grid))
rhogrid = rhos.reshape(NMcs, NEtas, NChis)
# Fit to determine effective Fisher matrix
# Adapt the match value to make sure all the Evals are positive
gam_prior = np.diag(
[10. * 10., 4 * 4., 1.]
) # prior on mass, eta, chi. (the 'prior' on mass is mainly used to regularize, and is too narrow)
evals = np.array([-1, -1, -1])
count = 0
start = time.time()
match_cntrs = np.array([0.97, 0.98, 0.99])
while np.any(
np.array([np.real(evals[0]),
np.real(evals[1]),
np.real(evals[2])]) < 0):
if count > 0:
if logFile:
log.writelines(
str(datetime.datetime.today()) + '\t' +
'At least one of the eval is negative: switching to match of '
+ str(match_cntrs[count]) + '\n')
else:
print 'At least one of the eval is negative: switching to match of ' + str(
match_cntrs[count])
wide_match = 1 - (1 - match_cntrs[count])**(2 / 3.0)
fit_cntr = match_cntrs[
count] # Do the effective Fisher fit with pts above this match
cut = rhos > fit_cntr
if np.sum(cut) >= 6:
fitgamma = eff.effectiveFisher(eff.residuals3d, rhos[cut],
dMcFLAT_MSUN[cut], detaFLAT[cut],
dchiFLAT[cut])
# Find the eigenvalues/vectors of the effective Fisher matrix
gam = eff.array_to_symmetric_matrix(fitgamma)
gam = gam + gam_prior
evals, evecs, rot = eff.eigensystem(gam)
count += 1
if (count >= 3) and np.any(
np.array([
np.real(evals[0]),
np.real(evals[1]),
np.real(evals[2])
]) < 0):
return adapt_failure(logFile)
sys.exit()
else:
return adapt_failure(logFile)
sys.exit()
#
# Distribute points inside predicted ellipsoid of certain level of overlap
#
r1 = np.sqrt(2. * (1. - match_cntr) /
np.real(evals[0])) # ellipse radii ...
r2 = np.sqrt(2. * (1. - match_cntr) /
np.real(evals[1])) # ... along eigen-directions
r3 = np.sqrt(2. * (1. - match_cntr) /
np.real(evals[2])) # ... along eigen-directions
### CHECK ### Should we not use the updated match_cntr value? This seems to be a bug ###
NN = 0
NN_total = 0
cart_grid = [[0., 0., 0.]]
sph_grid = [[0., 0., 0.]]
likelihood_grid = [1.] ## Koh Ueno added
while NN < Nrandpts:
NN_total += 1
r = np.random.rand()
ph = np.random.rand() * 2. * np.pi
costh = np.random.rand() * 2. - 1.
sinth = np.sqrt(1. - costh * costh)
th = np.arccos(costh)
rrt = r**(1. / 3.)
x1 = r1 * rrt * sinth * np.cos(ph)
x2 = r2 * rrt * sinth * np.sin(ph)
x3 = r3 * rrt * costh
### CHECK ####
cart_grid_point = [x1, x2, x3]
cart_grid_point = np.array(np.real(np.dot(rot, cart_grid_point)))
rand_Mc = cart_grid_point[0] * lal.MSUN_SI + McSIG # Mc (kg)
rand_eta = cart_grid_point[1] + etaSIG # eta
rand_chi = cart_grid_point[2] + chiSIG
### CHECK ####
### Koh Ueno: I added the followings to introduce the correct weight for each sample.
### I think we can do this computation only after "if joint_condition"
### if you want to make the computational cost as small as possible.
### I am wondering if we can use the modified "gam"
### (i.e., the gam which gam_prior is added to)
### for the likelihood computation.
diff_rand_sample = [(rand_Mc - McSIG) / lal.MSUN_SI, rand_eta - etaSIG,
rand_chi - chiSIG]
likelihood_tmp = np.dot(np.dot(gam, diff_rand_sample),
diff_rand_sample)
likelihood = np.exp(-0.5 * network_snr**2 * likelihood_tmp.item(0))
### Koh Ueno: ends
condition1 = rand_eta > 0
condition2 = rand_eta <= 0.25
condition3 = np.abs(rand_chi) < 1.0
joint_condition = condition1 * condition2 * condition3
if joint_condition:
cart_grid.append(
[cart_grid_point[0], cart_grid_point[1],
cart_grid_point[2]]) ## CHECK
likelihood_grid.append(likelihood) ### Koh Ueno added
NN += 1
cart_grid = np.array(cart_grid)
sph_grid = np.array(sph_grid)
likelihood_grid = np.array(likelihood_grid)
if logFile:
log.writelines(
str(datetime.datetime.today()) + '\t' + 'Selected ' + str(NN) +
' points from ' + str(NN_total) +
' random samples within the ellipsoid \n')
else:
print 'Selected ' + str(NN) + ' points from ' + str(
NN_total) + ' random samples within the ellipsoid'
# Rotate to get coordinates in parameter basis
### CHECK! No need to rotate again ###
# cart_grid = np.array([ np.real( np.dot(rot, cart_grid[i]))
# for i in xrange(len(cart_grid)) ])
# Put in convenient units,
# change from parameter differential (i.e. dtheta)
# to absolute parameter value (i.e. theta = theta_true + dtheta)
rand_dMcs_MSUN, rand_detas, rand_dChis = tuple(
np.transpose(cart_grid)) # dMc, deta, dchi
rand_Mcs = rand_dMcs_MSUN * lal.MSUN_SI + McSIG # Mc (kg)
rand_etas = rand_detas + etaSIG # eta
rand_chis = rand_dChis + chiSIG
# Prune points with unphysical values of eta from cart_grid
rand_etas = np.array(
map(partial(lsu.sanitize_eta, exception=np.NAN), rand_etas))
cart_grid = np.transpose((rand_Mcs, rand_etas, rand_chis)) #### CHECK ####
phys_cut = ~np.isnan(cart_grid).any(1) # cut to remove unphysical pts
cart_grid = cart_grid[phys_cut]
keep_phys_spins = np.abs(cart_grid[:, 2]) < 1.0 #### CHECK ####
cart_grid = cart_grid[keep_phys_spins] #### CHECK ####
# Output Cartesian and spherical coordinates of intrinsic grid
indices = np.arange(len(cart_grid))
Mcs_MSUN, etas, chis = np.transpose(cart_grid) #### CHECK ####
Mcs_MSUN = Mcs_MSUN / lal.MSUN_SI
outgrid = np.transpose((Mcs_MSUN, etas, chis)) #### CHECK ####
if saveData:
if path: data_dir = path + '/intrinsic_grids'
else: data_dir = 'intrinsic_grids'
os.system('mkdir -p ' + data_dir)
np.savetxt(data_dir + '/intrinsic_grid_' + str(graceid) +
'_samples.dat',
outgrid,
fmt='%f\t%f\t%f')
if plot:
import pylab as pl
from mpl_toolkits.mplot3d import Axes3D
mc = outgrid[:, 0]
eta = outgrid[:, 1]
sz1 = outgrid[:, 2]
fig = pl.figure(figsize=(12, 10))
ax = fig.add_subplot(111, projection='3d')
ax.scatter(mc[1:],
eta[1:],
sz1[1:],
zdir='z',
s=3,
c='b',
alpha=0.2,
depthshade=True)
xlim = ax.get_xlim3d()
ylim = ax.get_ylim3d()
zlim = ax.get_zlim3d()
print xlim
print ylim
print zlim
ax.scatter(mc,
eta,
zlim[0] * np.ones(len(outgrid)),
zdir='z',
s=3,
c='k',
alpha=0.04,
depthshade=True)
ax.scatter(mc,
ylim[1] * np.ones(len(outgrid)),
sz1,
zdir='z',
s=3,
c='k',
alpha=0.04,
depthshade=True)
ax.scatter(xlim[0] * np.ones(len(outgrid)),
eta,
sz1,
zdir='z',
s=3,
c='k',
alpha=0.04,
depthshade=True)
ax.scatter(mc[0], eta[0], sz1[0], s=100, c='r', depthshade=True)
ax.scatter(mc[0],
eta[0],
zlim[0],
s=100,
c='r',
alpha=0.1,
depthshade=True)
ax.scatter(mc[0],
ylim[1],
sz1[0],
s=100,
c='r',
alpha=0.1,
depthshade=True)
ax.scatter(xlim[0],
eta[0],
sz1[0],
s=100,
c='r',
alpha=0.1,
depthshade=True)
ax.set_xlim3d(xlim)
ax.set_ylim3d(ylim)
ax.set_zlim3d(zlim)
ax.set_xlabel('$\\mathcal{M}$')
ax.set_ylabel('$\\eta$')
ax.set_zlabel('$\\chi_1$')
pl.title('$m_1$ = ' + str(mass1) + '$M_{\\odot}$: $m_2$ = ' +
str(mass2) + '$M_{\\odot}$: $\\chi_1$ = ' + str(chi1),
y=1.03)
pl.grid()
pl.rcParams.update({'font.size': 13})
if path: plot_dir = path + '/ellipsoid_sample_plots'
else: plot_dir = 'ellipsoid_sample_plots'
os.system('mkdir -p ' + plot_dir)
pl.savefig(plot_dir + '/ellipsoid_sample_' + str(graceid) +
'_plot.png')
if show:
pl.show()
return outgrid, likelihood_grid # KU
#
# Template descriptors
#
fiducial_epoch = lal.LIGOTimeGPS(event_time.seconds, event_time.nanoseconds)
# Struct to hold template parameters
P = lalsimutils.ChooseWaveformParams(
approx=lalsimutils.lalsim.GetApproximantFromString(opts.approximant),
radec=False,
fmin=opts.fmin_template, # minimum frequency of template
fref=opts.reference_freq,
ampO=opts.amp_order,
tref=fiducial_epoch,
dist=common_cl.distRef,
incl=0.0,
phiref=0.0,
theta=0.0,
phi=0.0,
psi=0.0,
m1=m1 * lal.MSUN_SI,
m2=m2 * lal.MSUN_SI,
lambda1=lambda1,
lambda2=lambda2)
# Set spin values if appropriate
if opts.spin1z is not None or opts.spin2z is not None:
for a in ("spin1z", "spin2z"):
if getattr(opts, a) is not None:
setattr(P, a, getattr(opts, a))
else:
# FIXME: Hardcoded values - eventually promote to command line arguments
#
template_min_freq = 40.
ip_min_freq = 40.
#
# Setup signal and IP class
#
param_names = ['Mc', 'eta']
McSIG = lsu.mchirp(m1_SI, m2_SI)
etaSIG = lsu.symRatio(m1_SI, m2_SI)
if sim_row is not None:
PSIG = lsu.ChooseWaveformParams(m1=m1_SI,
m2=m2_SI,
lambda1=lambda1,
lambda2=lambda2,
fmin=template_min_freq,
approx=lalsim.GetApproximantFromString(
opts.approximant))
PSIG.copy_lsctables_sim_inspiral(sim_row)
# FIXME: Not converting this causes segfaults with python's built in copying
# module
PSIG.tref = float(PSIG.tref)
else:
PSIG = lsu.ChooseWaveformParams(m1=m1_SI,
m2=m2_SI,
lambda1=lambda1,
lambda2=lambda2,
fmin=template_min_freq,
approx=lalsim.GetApproximantFromString(
opts.approximant))