From 2f78340ba723ba919da4fc12200224194b962a09 Mon Sep 17 00:00:00 2001 From: weichangfeng Date: Tue, 6 Jul 2021 12:10:02 +0800 Subject: [PATCH] Upload New File --- 2021_07/PE.py | 96 + 2021_07/outdir_15p/JSD_calculation.ipynb | 453 + .../bbh_in_bilby_and_vitamin_0629.log | 232 + ..._bilby_and_vitamin_0629_checkpoint_run.png | Bin 0 -> 97438 bytes ...ilby_and_vitamin_0629_checkpoint_stats.png | Bin 0 -> 29210 bytes ...ilby_and_vitamin_0629_checkpoint_trace.png | Bin 0 -> 700639 bytes ...and_vitamin_0629_checkpoint_trace_unit.png | Bin 0 -> 763294 bytes ...bh_in_bilby_and_vitamin_0629_resume.pickle | Bin 0 -> 4700141 bytes .../bbh_in_bilby_and_vitamin_0629_samples.dat | 228 + .../vitamin_corner_timeseries-0.png | Bin 0 -> 408817 bytes ...itamin_sample_timeseries-0_parameter-0.txt | 10000 ++++++++++++++++ ...itamin_sample_timeseries-0_parameter-1.txt | 10000 ++++++++++++++++ ...itamin_sample_timeseries-0_parameter-2.txt | 10000 ++++++++++++++++ ...itamin_sample_timeseries-0_parameter-3.txt | 10000 ++++++++++++++++ ...itamin_sample_timeseries-0_parameter-4.txt | 10000 ++++++++++++++++ ...itamin_sample_timeseries-0_parameter-5.txt | 10000 ++++++++++++++++ ...itamin_sample_timeseries-0_parameter-6.txt | 10000 ++++++++++++++++ ...itamin_sample_timeseries-0_parameter-7.txt | 10000 ++++++++++++++++ 18 files changed, 81009 insertions(+) create mode 100755 2021_07/PE.py create mode 100644 2021_07/outdir_15p/JSD_calculation.ipynb create mode 100644 2021_07/outdir_15p/bbh_in_bilby_and_vitamin_0629.log create mode 100644 2021_07/outdir_15p/bbh_in_bilby_and_vitamin_0629_checkpoint_run.png create mode 100644 2021_07/outdir_15p/bbh_in_bilby_and_vitamin_0629_checkpoint_stats.png create mode 100644 2021_07/outdir_15p/bbh_in_bilby_and_vitamin_0629_checkpoint_trace.png create mode 100644 2021_07/outdir_15p/bbh_in_bilby_and_vitamin_0629_checkpoint_trace_unit.png create mode 100644 2021_07/outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle create mode 100644 2021_07/outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat create mode 100644 2021_07/outdir_15p/vitamin_corner_timeseries-0.png create mode 100644 2021_07/outdir_15p/vitamin_sample_timeseries-0_parameter-0.txt create mode 100644 2021_07/outdir_15p/vitamin_sample_timeseries-0_parameter-1.txt create mode 100644 2021_07/outdir_15p/vitamin_sample_timeseries-0_parameter-2.txt create mode 100644 2021_07/outdir_15p/vitamin_sample_timeseries-0_parameter-3.txt create mode 100644 2021_07/outdir_15p/vitamin_sample_timeseries-0_parameter-4.txt create mode 100644 2021_07/outdir_15p/vitamin_sample_timeseries-0_parameter-5.txt create mode 100644 2021_07/outdir_15p/vitamin_sample_timeseries-0_parameter-6.txt create mode 100644 2021_07/outdir_15p/vitamin_sample_timeseries-0_parameter-7.txt diff --git a/2021_07/PE.py b/2021_07/PE.py new file mode 100755 index 0000000..c78c5e8 --- /dev/null +++ b/2021_07/PE.py @@ -0,0 +1,96 @@ +#!/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() diff --git a/2021_07/outdir_15p/JSD_calculation.ipynb b/2021_07/outdir_15p/JSD_calculation.ipynb new file mode 100644 index 0000000..a5f3935 --- /dev/null +++ b/2021_07/outdir_15p/JSD_calculation.ipynb @@ -0,0 +1,453 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import bilby" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Load the posterior samples from Bilby" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "parameters = ['mass_1','mass_2','luminosity_distance','dec','ra','theta_jn','psi','phase','geocent_time']\n", + "data = pd.read_table('bbh_in_bilby_and_vitamin_0619_samples.dat',sep=' ',header=None,names=parameters)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "total_mass = []\n", + "m1_1 = []\n", + "m2_1 = []\n", + "d_1 = []" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "#for i in range(1,len(data['chirp_mass'])):\n", + "# total_mass.append(bilby.gw.conversion.chirp_mass_and_mass_ratio_to_total_mass(float(data['chirp_mass'][i]),float(data['mass_ratio'][i])))\n", + "#for j in range(1,len(data['chirp_mass'])): \n", + "# m1_1.append(total_mass[j-1]/(1+float(data['mass_ratio'][j])))\n", + "#for k in range(len(m1_1)):\n", + "# m2_1.append(total_mass[k]-m1_1[k])\n", + "for i in range(1,len(data['mass_1'])):\n", + " m1_1.append(float(data['mass_1'][i]))\n", + "for i in range(1,len(data['mass_2'])):\n", + " m2_1.append(float(data['mass_2'][i]))\n", + "for i in range(1,len(data['luminosity_distance'])):\n", + " d_1.append(float(data['luminosity_distance'][i]))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Load the posterior samples from VItamin " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "m1_2 = np.loadtxt('vitamin_sample_timeseries-0_parameter-0.txt') \n", + "m2_2 = np.loadtxt('vitamin_sample_timeseries-0_parameter-1.txt')\n", + "d_2 = np.loadtxt('vitamin_sample_timeseries-0_parameter-2.txt')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Show the number of samples" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "12947" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nsample_1 = len(m1_1)\n", + "nsample_1" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "10000" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nsample_2 = len(m1_2)\n", + "nsample_2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Normalize the length of posterior" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "def len_norm(p1_sample,p2_sample,nbin1,nbin2,nbin):\n", + " \n", + " # First we make histogram.\n", + " hist_1, edge_1 = np.histogram(p1_sample, bins=nbin1) \n", + " x_1 = np.linspace(0.5*(edge_1[0]+edge_1[1]),0.5*(edge_1[nbin1-1]+edge_1[nbin1]),nbin1)\n", + " \n", + " hist_2, edge_2 = np.histogram(p2_sample, bins=nbin2) \n", + " x_2 = np.linspace(0.5*(edge_2[0]+edge_2[1]),0.5*(edge_2[nbin2-1]+edge_2[nbin2]),nbin2) \n", + " \n", + " # Then we make a common value axis.\n", + " x_min = min(x_1.min(),x_2.min())\n", + " x_max = max(x_1.max(),x_2.max())\n", + " x = np.linspace(x_min,x_max,nbin) \n", + " y_1 = np.linspace(0,0,nbin) \n", + " y_2 = np.linspace(0,0,nbin) \n", + " \n", + " # Then we interpolate the curve. \n", + " for i in range(len(x)): \n", + " \n", + " t=0\n", + " if x[i] < x_1[0]:\n", + " y_1[i] = 0\n", + " \n", + " elif x[i] > x_1[-1]:\n", + " y_1[i] = 0 \n", + " else:\n", + " for j in range(len(x_1)): \n", + " if x[i] < x_1[j]: \n", + " t = j\n", + " break\n", + " \n", + " y_1[i] = 0.5*(hist_1[j-1]+hist_1[j]) \n", + " \n", + " \n", + " for i in range(len(x)): \n", + " \n", + " t=0\n", + " if x[i] < x_2[0]:\n", + " y_2[i] = 0\n", + " \n", + " elif x[i] > x_2[-1]:\n", + " y_2[i] = 0 \n", + " else:\n", + " for j in range(len(x_2)): \n", + " if x[i] < x_2[j]: \n", + " t = j\n", + " break\n", + " \n", + " y_2[i] = 0.5*(hist_2[j-1]+hist_2[j]) \n", + "\n", + " \n", + " \n", + " return x,y_1,y_2" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "nbin1=100\n", + "nbin2=100\n", + "nbin=100" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "x_m1,m1_1_n,m1_2_n = len_norm(m1_1,m1_2,nbin1,nbin2,nbin)\n", + "x_m2,m2_1_n,m2_2_n = len_norm(m2_1,m2_2,nbin1,nbin2,nbin)\n", + "x_d,d_1_n,d_2_n = len_norm(d_1,d_2,nbin1,nbin2,nbin)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# m1" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x_m1,m1_1_n)\n", + "plt.plot(x_m1,m1_2_n)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# m2" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x_m2,m2_1_n)\n", + "plt.plot(x_m2,m2_2_n)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# d" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x_d,d_1_n)\n", + "plt.plot(x_d,d_2_n)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Calculate JSD" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.spatial import distance\n", + "jsd_m1_01=distance.jensenshannon(m1_1_n,m1_2_n)\n", + "jsd_m2_01=distance.jensenshannon(m2_1_n,m2_2_n)\n", + "jsd_d_01=distance.jensenshannon(d_1_n,d_2_n)\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.4932230092768822" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jsd_m1_01" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.25415157431373137" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jsd_m2_01" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5601724701773445" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jsd_d_01" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.5" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/2021_07/outdir_15p/bbh_in_bilby_and_vitamin_0629.log b/2021_07/outdir_15p/bbh_in_bilby_and_vitamin_0629.log new file mode 100644 index 0000000..36f7cf2 --- /dev/null +++ b/2021_07/outdir_15p/bbh_in_bilby_and_vitamin_0629.log @@ -0,0 +1,232 @@ +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': >, '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 +18:13 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +18:43 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +19:13 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +19:43 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +20:13 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +20:44 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +21:14 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +21:50 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +22:20 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +22:50 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +23:21 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +23:51 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +00:21 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +00:51 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +01:22 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +01:52 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +02:22 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +02:53 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +03:23 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +03:53 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +04:24 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +11:36 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +12:06 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +12:37 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +13:07 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +13:38 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +14:08 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +14:38 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +15:09 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +15:39 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +16:10 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +19:18 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +19:49 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +20:19 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +20:50 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +21:20 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +21:51 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +23:41 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +00:11 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +00:42 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +01:12 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +01:12 INFO : Writing 182 current samples to outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat +01:43 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +01:43 INFO : Writing 306 current samples to outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat +02:13 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +02:13 INFO : Writing 547 current samples to outdir_15p/bbh_in_bilby_and_vitamin_0629_samples.dat +02:44 INFO : Written checkpoint file outdir_15p/bbh_in_bilby_and_vitamin_0629_resume.pickle +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': >, '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 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