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2021_07/PE.py

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#!/usr/bin/env python
"""
Tutorial to demonstrate running parameter estimation on a reduced parameter
space for an injected signal.

This example estimates the masses using a uniform prior in both component masses
and distance using a uniform in comoving volume prior on luminosity distance
between luminosity distances of 100Mpc and 5Gpc, the cosmology is Planck15.
"""

import numpy as np
import bilby

# Set the duration and sampling frequency of the data segment that we're
# going to inject the signal into
duration = 1.
sampling_frequency = 256.
ref_geocent_time = 1126259642.5
# Specify the output directory and the name of the simulation.
outdir = 'outdir_15p'
label = 'bbh_in_bilby_and_vitamin_0629'
bilby.core.utils.setup_logger(outdir=outdir, label=label)

# Set up a random seed for result reproducibility.  This is optional!
np.random.seed(88170235)

# We are going to inject a binary black hole waveform.  We first establish a
# dictionary of parameters that includes all of the different waveform
# parameters, including masses of the two black holes (mass_1, mass_2),
# spins of both black holes (a, tilt, phi), etc.

injection_parameters = dict(
        mass_1=81.9, mass_2=70.91, a_1=0., a_2=0., tilt_1=0., tilt_2=0.,
        phi_12=0., phi_jl=0., luminosity_distance=1400, theta_jn=1.51, psi=1.54,
        phase=0., geocent_time=1126259642.5+0.22, ra=3.69, dec=-0.94) 
# Fixed arguments passed into the source model
waveform_arguments = dict(waveform_approximant='IMRPhenomPv2',
                          reference_frequency=20., minimum_frequency=20.)

# Create the waveform_generator using a LAL BinaryBlackHole source function
waveform_generator = bilby.gw.WaveformGenerator(
    duration=duration, sampling_frequency=sampling_frequency,
    frequency_domain_source_model=bilby.gw.source.lal_binary_black_hole,
    parameter_conversion=bilby.gw.conversion.convert_to_lal_binary_black_hole_parameters,
    waveform_arguments=waveform_arguments,
    start_time=ref_geocent_time - 0.5)

# Set up interferometers.  In this case we'll use two interferometers
# (LIGO-Hanford (H1), LIGO-Livingston (L1). These default to their design
# sensitivity
ifos = bilby.gw.detector.InterferometerList(['H1', 'L1', 'V1'])
ifos.set_strain_data_from_power_spectral_densities(
    sampling_frequency=sampling_frequency, duration=duration,
    start_time=ref_geocent_time - 0.5)
ifos.inject_signal(waveform_generator=waveform_generator,
                   parameters=injection_parameters)

# Set up a PriorDict, which inherits from dict.
# By default we will sample all terms in the signal models.  However, this will
# take a long time for the calculation, so for this example we will set almost
# all of the priors to be equall to their injected values.  This implies the
# prior is a delta function at the true, injected value.  In reality, the
# sampler implementation is smart enough to not sample any parameter that has
# a delta-function prior.
# The above list does *not* include mass_1, mass_2, theta_jn and luminosity
# distance, which means those are the parameters that will be included in the
# sampler.  If we do nothing, then the default priors get used.
priors = bilby.gw.prior.BBHPriorDict()
priors.pop('chirp_mass')
priors.pop('mass_ratio')

priors['mass_1'] = bilby.core.prior.Uniform(name='mass_1', minimum=30, maximum=160, unit='$M_{\\odot}$')
priors['mass_2'] = bilby.core.prior.Uniform(name='mass_2', minimum=30, maximum=160, unit='$M_{\\odot}$')
priors['luminosity_distance'] = bilby.core.prior.Uniform(name='luminosity_distance', minimum=1000, maximum=3000, unit='$Mpc_{\\odot}$')
priors['psi'] = bilby.core.prior.Uniform(name='psi', minimum=0.0, maximum=np.pi, boundary='periodic')
for key in ['a_1', 'a_2', 'tilt_1', 'tilt_2', 'phi_12', 'phi_jl']:
    priors[key] = 0.0

priors['geocent_time'] = bilby.core.prior.Uniform(
    minimum=ref_geocent_time + 0.15,
    maximum=ref_geocent_time + 0.35,
    name='geocent_time', latex_label='$t_c$', unit='$s$')


# Initialise the likelihood by passing in the interferometer data (ifos) and
# the waveform generator
likelihood = bilby.gw.GravitationalWaveTransient(
    interferometers=ifos, waveform_generator=waveform_generator,priors=priors)

# Run sampler.  In this case we're going to use the `dynesty` sampler
result = bilby.run_sampler(
    likelihood=likelihood, priors=priors, injection_parameters=injection_parameters, label=label,outdir=outdir,sampler='dynesty', 
    nlive=2000, sample='rwalk',walks =100,nact=50,check_point_delta_t=1800,check_point_plot=True)

# Make a corner plot.
result.plot_corner()
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17:12 INFO    : Waveform generator initiated with
  frequency_domain_source_model: bilby.gw.source.lal_binary_black_hole
  time_domain_source_model: None
  parameter_conversion: bilby.gw.conversion.convert_to_lal_binary_black_hole_parameters
17:12 INFO    : Injected signal in H1:
17:12 INFO    :   optimal SNR = 12.54
17:12 INFO    :   matched filter SNR = 13.59-0.33j
17:12 INFO    :   mass_1 = 81.9
17:12 INFO    :   mass_2 = 70.91
17:12 INFO    :   a_1 = 0.0
17:12 INFO    :   a_2 = 0.0
17:12 INFO    :   tilt_1 = 0.0
17:12 INFO    :   tilt_2 = 0.0
17:12 INFO    :   phi_12 = 0.0
17:12 INFO    :   phi_jl = 0.0
17:12 INFO    :   luminosity_distance = 1400
17:12 INFO    :   theta_jn = 1.51
17:12 INFO    :   psi = 1.54
17:12 INFO    :   phase = 0.0
17:12 INFO    :   geocent_time = 1126259642.72
17:12 INFO    :   ra = 3.69
17:12 INFO    :   dec = -0.94
17:12 INFO    : Injected signal in L1:
17:12 INFO    :   optimal SNR = 9.82
17:12 INFO    :   matched filter SNR = 10.47-0.29j
17:12 INFO    :   mass_1 = 81.9
17:12 INFO    :   mass_2 = 70.91
17:12 INFO    :   a_1 = 0.0
17:12 INFO    :   a_2 = 0.0
17:12 INFO    :   tilt_1 = 0.0
17:12 INFO    :   tilt_2 = 0.0
17:12 INFO    :   phi_12 = 0.0
17:12 INFO    :   phi_jl = 0.0
17:12 INFO    :   luminosity_distance = 1400
17:12 INFO    :   theta_jn = 1.51
17:12 INFO    :   psi = 1.54
17:12 INFO    :   phase = 0.0
17:12 INFO    :   geocent_time = 1126259642.72
17:12 INFO    :   ra = 3.69
17:12 INFO    :   dec = -0.94
17:12 INFO    : Injected signal in V1:
17:12 INFO    :   optimal SNR = 6.99
17:12 INFO    :   matched filter SNR = 6.55+0.57j
17:12 INFO    :   mass_1 = 81.9
17:12 INFO    :   mass_2 = 70.91
17:12 INFO    :   a_1 = 0.0
17:12 INFO    :   a_2 = 0.0
17:12 INFO    :   tilt_1 = 0.0
17:12 INFO    :   tilt_2 = 0.0
17:12 INFO    :   phi_12 = 0.0
17:12 INFO    :   phi_jl = 0.0
17:12 INFO    :   luminosity_distance = 1400
17:12 INFO    :   theta_jn = 1.51
17:12 INFO    :   psi = 1.54
17:12 INFO    :   phase = 0.0
17:12 INFO    :   geocent_time = 1126259642.72
17:12 INFO    :   ra = 3.69
17:12 INFO    :   dec = -0.94
17:12 INFO    : No prior given, using default BBH priors in /home/weichangfeng/.local/lib/python3.8/site-packages/bilby/gw/prior_files/precessing_spins_bbh.prior.
17:12 INFO    : Running for label 'bbh_in_bilby_and_vitamin_0629', output will be saved to 'outdir_15p'
17:12 INFO    : Using lal version 7.1.2
17:12 INFO    : Using lal git version Branch: None;Tag: lalsuite-v6.82;Id: cf792129c2473f42ce6c6ee21d8234254cefd337;;Builder: Unknown User <>;Repository status: UNCLEAN: Modified working tree
17:12 INFO    : Using lalsimulation version 2.5.1
17:12 INFO    : Using lalsimulation git version Branch: None;Tag: lalsuite-v6.82;Id: cf792129c2473f42ce6c6ee21d8234254cefd337;;Builder: Unknown User <>;Repository status: UNCLEAN: Modified working tree
17:12 INFO    : Search parameters:
17:12 INFO    :   mass_1 = Uniform(minimum=30, maximum=160, name='mass_1', latex_label='$m_1$', unit='$M_{\\odot}$', boundary=None)
17:12 INFO    :   mass_2 = Uniform(minimum=30, maximum=160, name='mass_2', latex_label='$m_2$', unit='$M_{\\odot}$', boundary=None)
17:12 INFO    :   luminosity_distance = Uniform(minimum=1000, maximum=3000, name='luminosity_distance', latex_label='$d_L$', unit='$Mpc_{\\odot}$', boundary=None)
17:12 INFO    :   dec = Cosine(minimum=-1.5707963267948966, maximum=1.5707963267948966, name='dec', latex_label='$\\mathrm{DEC}$', unit=None, boundary=None)
17:12 INFO    :   ra = Uniform(minimum=0, maximum=6.283185307179586, name='ra', latex_label='$\\mathrm{RA}$', unit=None, boundary='periodic')
17:12 INFO    :   theta_jn = Sine(minimum=0, maximum=3.141592653589793, name='theta_jn', latex_label='$\\theta_{JN}$', unit=None, boundary=None)
17:12 INFO    :   psi = Uniform(minimum=0.0, maximum=3.141592653589793, name='psi', latex_label='$\\psi$', unit=None, boundary='periodic')
17:12 INFO    :   phase = Uniform(minimum=0, maximum=6.283185307179586, name='phase', latex_label='$\\phi$', unit=None, boundary='periodic')
17:12 INFO    :   geocent_time = Uniform(minimum=1126259642.65, maximum=1126259642.85, name='geocent_time', latex_label='$t_c$', unit='$s$', boundary=None)
17:12 INFO    :   a_1 = 0.0
17:12 INFO    :   a_2 = 0.0
17:12 INFO    :   tilt_1 = 0.0
17:12 INFO    :   tilt_2 = 0.0
17:12 INFO    :   phi_12 = 0.0
17:12 INFO    :   phi_jl = 0.0
17:12 INFO    : Single likelihood evaluation took 8.672e-04 s
17:12 INFO    : Using sampler Dynesty with kwargs {'bound': 'multi', 'sample': 'rwalk', 'verbose': True, 'periodic': None, 'reflective': None, 'check_point_delta_t': 1800, 'nlive': 2000, 'first_update': None, 'walks': 100, 'npdim': None, 'rstate': None, 'queue_size': 1, 'pool': None, 'use_pool': None, 'live_points': None, 'logl_args': None, 'logl_kwargs': None, 'ptform_args': None, 'ptform_kwargs': None, 'enlarge': 1.5, 'bootstrap': None, 'vol_dec': 0.5, 'vol_check': 8.0, 'facc': 0.2, 'slices': 5, 'update_interval': 1200, 'print_func': <bound method Dynesty._print_func of <bilby.core.sampler.dynesty.Dynesty object at 0x7fa3d48ad160>>, 'dlogz': 0.1, 'maxiter': None, 'maxcall': None, 'logl_max': inf, 'add_live': True, 'print_progress': True, 'save_bounds': False, 'n_effective': None, 'maxmcmc': 5000, 'nact': 50}
17:12 INFO    : Checkpoint every check_point_delta_t = 1800s
17:12 INFO    : Using dynesty version 1.0.1
17:12 INFO    : Using the bilby-implemented rwalk sample method with ACT estimated walks
17:12 INFO    : Resume file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle does not exist.
17:12 INFO    : Generating initial points from the prior
17:42 INFO    : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle
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01:12 INFO    : Writing 182 current samples to outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat
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02:13 INFO    : Writing 547 current samples to outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat
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02:44 INFO    : Writing 660 current samples to outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat
03:14 INFO    : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle
03:14 INFO    : Writing 1377 current samples to outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat
03:44 INFO    : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle
03:44 INFO    : Writing 2485 current samples to outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat
04:30 INFO    : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle
04:30 INFO    : Writing 2906 current samples to outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat
03:58 INFO    : Waveform generator initiated with
  frequency_domain_source_model: bilby.gw.source.lal_binary_black_hole
  time_domain_source_model: None
  parameter_conversion: bilby.gw.conversion.convert_to_lal_binary_black_hole_parameters
03:58 INFO    : Injected signal in H1:
03:58 INFO    :   optimal SNR = 12.54
03:58 INFO    :   matched filter SNR = 13.59-0.33j
03:58 INFO    :   mass_1 = 81.9
03:58 INFO    :   mass_2 = 70.91
03:58 INFO    :   a_1 = 0.0
03:58 INFO    :   a_2 = 0.0
03:58 INFO    :   tilt_1 = 0.0
03:58 INFO    :   tilt_2 = 0.0
03:58 INFO    :   phi_12 = 0.0
03:58 INFO    :   phi_jl = 0.0
03:58 INFO    :   luminosity_distance = 1400
03:58 INFO    :   theta_jn = 1.51
03:58 INFO    :   psi = 1.54
03:58 INFO    :   phase = 0.0
03:58 INFO    :   geocent_time = 1126259642.72
03:58 INFO    :   ra = 3.69
03:58 INFO    :   dec = -0.94
03:58 INFO    : Injected signal in L1:
03:58 INFO    :   optimal SNR = 9.82
03:58 INFO    :   matched filter SNR = 10.47-0.29j
03:58 INFO    :   mass_1 = 81.9
03:58 INFO    :   mass_2 = 70.91
03:58 INFO    :   a_1 = 0.0
03:58 INFO    :   a_2 = 0.0
03:58 INFO    :   tilt_1 = 0.0
03:58 INFO    :   tilt_2 = 0.0
03:58 INFO    :   phi_12 = 0.0
03:58 INFO    :   phi_jl = 0.0
03:58 INFO    :   luminosity_distance = 1400
03:58 INFO    :   theta_jn = 1.51
03:58 INFO    :   psi = 1.54
03:58 INFO    :   phase = 0.0
03:58 INFO    :   geocent_time = 1126259642.72
03:58 INFO    :   ra = 3.69
03:58 INFO    :   dec = -0.94
03:58 INFO    : Injected signal in V1:
03:58 INFO    :   optimal SNR = 6.99
03:58 INFO    :   matched filter SNR = 6.55+0.57j
03:58 INFO    :   mass_1 = 81.9
03:58 INFO    :   mass_2 = 70.91
03:58 INFO    :   a_1 = 0.0
03:58 INFO    :   a_2 = 0.0
03:58 INFO    :   tilt_1 = 0.0
03:58 INFO    :   tilt_2 = 0.0
03:58 INFO    :   phi_12 = 0.0
03:58 INFO    :   phi_jl = 0.0
03:58 INFO    :   luminosity_distance = 1400
03:58 INFO    :   theta_jn = 1.51
03:58 INFO    :   psi = 1.54
03:58 INFO    :   phase = 0.0
03:58 INFO    :   geocent_time = 1126259642.72
03:58 INFO    :   ra = 3.69
03:58 INFO    :   dec = -0.94
03:58 INFO    : No prior given, using default BBH priors in /home/weichangfeng/.local/lib/python3.8/site-packages/bilby/gw/prior_files/precessing_spins_bbh.prior.
03:58 INFO    : Running for label 'bbh_in_bilby_and_vitamin_0629', output will be saved to 'outdir_15p'
03:58 INFO    : Using lal version 7.1.2
03:58 INFO    : Using lal git version Branch: None;Tag: lalsuite-v6.82;Id: cf792129c2473f42ce6c6ee21d8234254cefd337;;Builder: Unknown User <>;Repository status: UNCLEAN: Modified working tree
03:58 INFO    : Using lalsimulation version 2.5.1
03:58 INFO    : Using lalsimulation git version Branch: None;Tag: lalsuite-v6.82;Id: cf792129c2473f42ce6c6ee21d8234254cefd337;;Builder: Unknown User <>;Repository status: UNCLEAN: Modified working tree
03:58 INFO    : Search parameters:
03:58 INFO    :   mass_1 = Uniform(minimum=30, maximum=160, name='mass_1', latex_label='$m_1$', unit='$M_{\\odot}$', boundary=None)
03:58 INFO    :   mass_2 = Uniform(minimum=30, maximum=160, name='mass_2', latex_label='$m_2$', unit='$M_{\\odot}$', boundary=None)
03:58 INFO    :   luminosity_distance = Uniform(minimum=1000, maximum=3000, name='luminosity_distance', latex_label='$d_L$', unit='$Mpc_{\\odot}$', boundary=None)
03:58 INFO    :   dec = Cosine(minimum=-1.5707963267948966, maximum=1.5707963267948966, name='dec', latex_label='$\\mathrm{DEC}$', unit=None, boundary=None)
03:58 INFO    :   ra = Uniform(minimum=0, maximum=6.283185307179586, name='ra', latex_label='$\\mathrm{RA}$', unit=None, boundary='periodic')
03:58 INFO    :   theta_jn = Sine(minimum=0, maximum=3.141592653589793, name='theta_jn', latex_label='$\\theta_{JN}$', unit=None, boundary=None)
03:58 INFO    :   psi = Uniform(minimum=0.0, maximum=3.141592653589793, name='psi', latex_label='$\\psi$', unit=None, boundary='periodic')
03:58 INFO    :   phase = Uniform(minimum=0, maximum=6.283185307179586, name='phase', latex_label='$\\phi$', unit=None, boundary='periodic')
03:58 INFO    :   geocent_time = Uniform(minimum=1126259642.65, maximum=1126259642.85, name='geocent_time', latex_label='$t_c$', unit='$s$', boundary=None)
03:58 INFO    :   a_1 = 0.0
03:58 INFO    :   a_2 = 0.0
03:58 INFO    :   tilt_1 = 0.0
03:58 INFO    :   tilt_2 = 0.0
03:58 INFO    :   phi_12 = 0.0
03:58 INFO    :   phi_jl = 0.0
03:58 INFO    : Single likelihood evaluation took 2.916e-03 s
03:58 INFO    : Using sampler Dynesty with kwargs {'bound': 'multi', 'sample': 'rwalk', 'verbose': True, 'periodic': None, 'reflective': None, 'check_point_delta_t': 1800, 'nlive': 2000, 'first_update': None, 'walks': 100, 'npdim': None, 'rstate': None, 'queue_size': 1, 'pool': None, 'use_pool': None, 'live_points': None, 'logl_args': None, 'logl_kwargs': None, 'ptform_args': None, 'ptform_kwargs': None, 'enlarge': 1.5, 'bootstrap': None, 'vol_dec': 0.5, 'vol_check': 8.0, 'facc': 0.2, 'slices': 5, 'update_interval': 1200, 'print_func': <bound method Dynesty._print_func of <bilby.core.sampler.dynesty.Dynesty object at 0x7f1016cba730>>, 'dlogz': 0.1, 'maxiter': None, 'maxcall': None, 'logl_max': inf, 'add_live': True, 'print_progress': True, 'save_bounds': False, 'n_effective': None, 'maxmcmc': 5000, 'nact': 50}
03:58 INFO    : Checkpoint every check_point_delta_t = 1800s
03:58 INFO    : Using dynesty version 1.0.1
03:58 INFO    : Using the bilby-implemented rwalk sample method with ACT estimated walks
03:58 INFO    : Reading resume file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle
03:58 INFO    : Resume file successfully loaded.
03:59 INFO    : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle
03:59 INFO    : Writing 2919 current samples to outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat
09:40 INFO    : Run interrupted by signal 15: checkpoint and exit on 130
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