Source code for Chempy.wrapper

import numpy as np
from .weighted_yield import SSP, lifetime_Argast, lifetime_Raiteri
from .imf import IMF
from .yields import SN2_feedback, AGB_feedback, SN1a_feedback, Hypernova_feedback
import copy

[docs]class SSP_wrap(): ''' This is the wrapper around the SSP function. It preloads the needed classes and calls all nucleosynthetic enrichment processes when the enrichment is calculated. ''' def __init__(self, a): ''' Upon initialization the default IMF, CC-SN yields, SN Ia yields and AGB yields is loaded. INPUT: a = Modelparameter class. So the default IMF etc are loaded. If we want other yield sets etc. loaded we need to specify that in paramter.py ''' ## loading the IMF and the yieldsets prescribed in a (containing all the model parameters) basic_imf = IMF(a.mmin,a.mmax,a.mass_steps) getattr(basic_imf, a.imf_type_name)(a.imf_parameter) basic_sn2 = SN2_feedback() getattr(basic_sn2, a.yield_table_name_sn2)() basic_1a = SN1a_feedback() getattr(basic_1a, a.yield_table_name_1a)() basic_agb = AGB_feedback() getattr(basic_agb, a.yield_table_name_agb)() ### mixing of Nomoto CC-SN and HN yields if a.yield_table_name_sn2 == 'Nomoto2013': basic_hn = Hypernova_feedback() getattr(basic_hn, a.yield_table_name_hn)() for item in basic_sn2.metallicities: x = np.copy(basic_sn2.table[item]) y = np.copy(basic_hn.table[item]) for jtem in basic_hn.masses: basic_sn2.table[item]['mass_in_remnants'][np.where(basic_sn2.table[item]['Mass']==jtem)] = a.sn2_to_hn * (x['mass_in_remnants'][np.where(x['Mass']==jtem)]) + (1-a.sn2_to_hn) * (y['mass_in_remnants'][np.where(y['Mass']==jtem)]) basic_sn2.table[item]['unprocessed_mass_in_winds'][np.where(basic_sn2.table[item]['Mass']==jtem)] = a.sn2_to_hn * (x['unprocessed_mass_in_winds'][np.where(x['Mass']==jtem)]) + (1-a.sn2_to_hn) * (y['unprocessed_mass_in_winds'][np.where(y['Mass']==jtem)]) hn_mass = [] sn_mass = [] for stem in basic_sn2.elements: sn_mass.append(x[stem][np.where(x['Mass']==jtem)]) hn_mass.append(y[stem][np.where(y['Mass']==jtem)]) basic_sn2.table[item][stem][np.where(basic_sn2.table[item]['Mass']==jtem)]= a.sn2_to_hn * (x[stem][np.where(x['Mass']==jtem)]) + (1-a.sn2_to_hn) * (y[stem][np.where(y['Mass']==jtem)]) ## to pass the information on to the feedback calculation self.a = a self.imf = basic_imf self.sn2 = basic_sn2 self.sn1a = basic_1a self.agb = basic_agb
[docs] def calculate_feedback(self, z, elements, element_fractions, time_steps, ssp_mass): ''' The feedback is calculated for the initializes SSP. INPUT: z = metallicity of the SSP in mass fraction (not normed to solar!) elements = which elements to follow element_fractions = the birth material of the SSP in the same order as 'elements' time_steps = the time-steps for which the enrichment of the SSP should be calculated (usually the time-steps until the end of the chempy simulation) ''' if self.a.stochastic_IMF: imf_copy = copy.copy(self.imf) imf_copy.stochastic_sampling(ssp_mass) else: imf_copy = copy.copy(self.imf) basic_ssp = SSP(False, float(z), imf_copy.x, imf_copy.dm, imf_copy.dn, np.copy(time_steps), list(elements), str(self.a.stellar_lifetimes), str(self.a.interpolation_scheme), bool(self.a.only_net_yields_in_process_tables), bool(self.a.log_time)) basic_ssp.sn2_feedback(list(self.sn2.elements), dict(self.sn2.table), np.copy(self.sn2.metallicities), float(self.a.sn2mmin), float(self.a.sn2mmax),list(element_fractions)) basic_ssp.agb_feedback(list(self.agb.elements), dict(self.agb.table), list(self.agb.metallicities), float(self.a.agbmmin), float(self.a.agbmmax),np.hstack(element_fractions)) basic_ssp.sn1a_feedback(list(self.sn1a.elements), list(self.sn1a.metallicities), dict(self.sn1a.table), str(self.a.time_delay_functional_form), float(self.a.sn1ammin), float(self.a.sn1ammax), self.a.sn1a_parameter, ssp_mass, bool(self.a.stochastic_IMF)) basic_ssp.bh_feedback(float(self.a.bhmmin),float(self.a.bhmmax),list(elements), np.hstack(element_fractions) , float(self.a.percentage_of_bh_mass)) # exposing these tables to the outside wrapper self.table = basic_ssp.table self.sn2_table = basic_ssp.sn2_table self.agb_table = basic_ssp.agb_table self.sn1a_table = basic_ssp.sn1a_table self.bh_table = basic_ssp.bh_table self.inverse_imf = basic_ssp.inverse_imf
[docs]def initialise_stuff(a): ''' Convenience function initialising the solar abundance, SFR and infall with the default values provided in parameter.py as a ''' from .solar_abundance import solar_abundances from .sfr import SFR from .infall import INFALL basic_solar = solar_abundances() getattr(basic_solar, a.solar_abundance_name)() basic_sfr = SFR(a.start,a.end,a.time_steps) if a.basic_sfr_name == 'gamma_function': getattr(basic_sfr, a.basic_sfr_name)(S0 = a.S_0 * a.mass_factor,a_parameter = a.a_parameter, loc = a.sfr_beginning, scale = a.sfr_scale) elif a.basic_sfr_name == 'model_A': basic_sfr.model_A(a.mass_factor*a.S_0,a.t_0,a.t_1) elif a.basic_sfr_name == 'prescribed': basic_sfr.prescribed(a.mass_factor, a.name_of_file) elif a.basic_sfr_name == 'doubly_peaked': basic_sfr.doubly_peaked(S0 = a.mass_factor*a.S_0, peak_ratio = a.peak_ratio, decay = a.sfr_decay, t0 = a.sfr_t0, peak1t0 = a.peak1t0, peak1sigma = a.peak1sigma) elif a.basic_sfr_name == 'normal': basic_sfr.normal(S0=a.mass_factor*a.S_0, loc=a.sfr_peak, scale=a.sfr_scale) elif a.basic_sfr_name == 'step': basic_sfr.step(S0=a.mass_factor*a.S_0, loc=a.sfr_cutoff) elif a.basic_sfr_name == 'non_parametric': basic_sfr.non_parametric(S0=a.mass_factor*a.S_0, breaks=a.sfr_breaks, weights=a.sfr_weights) basic_sfr.sfr = a.total_mass * np.divide(basic_sfr.sfr, sum(basic_sfr.sfr)) basic_infall = INFALL(np.copy(basic_sfr.t), np.copy(basic_sfr.sfr)) if a.basic_infall_name == 'exponential': getattr(basic_infall, a.basic_infall_name)((a.infall_amplitude,a.tau_infall,a.infall_time_offset)) #,a.c_infall,a.norm_infall)) elif a.basic_infall_name == 'gamma_function': getattr(basic_infall, a.basic_infall_name)(mass_factor = a.norm_infall, a_parameter = a.infall_a_parameter, loc = a.infall_beginning, scale = a.infall_scale) elif a.basic_infall_name == 'sfr_related': getattr(basic_infall, a.basic_infall_name)() return basic_solar, basic_sfr, basic_infall
[docs]def Chempy(a): ''' Chemical evolution run with the default parameters using the net yields. INPUT: a = ModelParameters() from parameter.py OUTPUT: cube = The ISM evolution class abundances = The abundances of the ISM ''' from .infall import PRIMORDIAL_INFALL from .time_integration import ABUNDANCE_MATRIX from .making_abundances import mass_fraction_to_abundances from numpy.lib.recfunctions import append_fields basic_solar, basic_sfr, basic_infall = initialise_stuff(a) elements_to_trace = a.elements_to_trace basic_primordial = PRIMORDIAL_INFALL(list(elements_to_trace),np.copy(basic_solar.table)) basic_primordial.primordial() # Needed a rescaling for the shortened sfr gas_reservoir_mass_factor = a.gas_reservoir_mass_factor / a.shortened_sfr_rescaling #sfr_factor_for_cosmic_accretion = a.sfr_factor_for_cosmic_accretion / a.shortened_sfr_rescaling #gas_at_start = a.gas_at_start / a.shortened_sfr_rescaling cube = ABUNDANCE_MATRIX(np.copy(basic_sfr.t),np.copy(basic_sfr.sfr),np.copy(basic_infall.infall),list(elements_to_trace), list(basic_primordial.symbols),list(basic_primordial.fractions),float(a.gas_at_start),list(basic_primordial.symbols),list(basic_primordial.fractions), float(gas_reservoir_mass_factor),float(a.outflow_feedback_fraction),bool(a.check_processes),float(a.starformation_efficiency),float(a.gas_power), float(a.sfr_factor_for_cosmic_accretion), list(basic_primordial.symbols), list(basic_primordial.fractions)) basic_ssp = SSP_wrap(a) for i in range(len(basic_sfr.t)-1): ssp_mass = float(basic_sfr.sfr[i]) #print(ssp_mass) j = len(basic_sfr.t)-i element_fractions = [] for item in elements_to_trace: element_fractions.append(float(np.copy(cube.cube[item][max(i-1,0)]/cube.cube['gas'][max(i-1,0)])))## gas element fractions from one time step before metallicity = float(cube.cube['Z'][i]) time_steps = np.copy(basic_sfr.t[:j]) basic_ssp.calculate_feedback(float(metallicity), list(elements_to_trace), list(element_fractions), np.copy(time_steps), ssp_mass) cube.advance_one_step(i+1,np.copy(basic_ssp.table),np.copy(basic_ssp.sn2_table),np.copy(basic_ssp.agb_table),np.copy(basic_ssp.sn1a_table),np.copy(basic_ssp.bh_table)) if cube.cube['gas'][i] < 0: print(i, basic_sfr.t[i]) print('gas became negative. returning -inf') return -np.inf, [0] if cube.gas_reservoir['gas'][i] < 0: print('gas_reservoir became negative. returning -inf') return -np.inf, [0] abundances,elements,numbers = mass_fraction_to_abundances(np.copy(cube.cube),np.copy(basic_solar.table)) weights = cube.cube['sfr'] abundances = append_fields(abundances,'weights',weights) abundances = append_fields(abundances,'time', cube.cube['time']) abundances = np.array(abundances) return cube, abundances
[docs]def Chempy_gross(a): ''' Chemical evolution run with the default parameters but now using solar scaled material (testing the worse case when total yields provided). INPUT: a = ModelParameters() from parameter.py OUTPUT: cube = The ISM evolution class abundances = The abundances of the ISM ''' from infall import PRIMORDIAL_INFALL from time_integration import ABUNDANCE_MATRIX from making_abundances import mass_fraction_to_abundances from numpy.lib.recfunctions import append_fields basic_solar, basic_sfr, basic_infall = initialise_stuff(a) elements_to_trace = a.elements_to_trace basic_primordial = PRIMORDIAL_INFALL(list(elements_to_trace),np.copy(basic_solar.table)) basic_primordial.primordial(0) gas_reservoir_mass_factor = a.gas_reservoir_mass_factor / a.shortened_sfr_rescaling cube = ABUNDANCE_MATRIX(np.copy(basic_sfr.t),np.copy(basic_sfr.sfr),np.copy(basic_infall.infall),list(elements_to_trace),list(basic_primordial.symbols), list(basic_primordial.fractions),float(a.gas_at_start),list(basic_primordial.symbols),list(basic_primordial.fractions),float(gas_reservoir_mass_factor), float(a.outflow_feedback_fraction),bool(a.check_processes),float(a.starformation_efficiency),float(a.gas_power), float(a.sfr_factor_for_cosmic_accretion), list(basic_primordial.symbols), list(basic_primordial.fractions)) basic_ssp = SSP_wrap(a) for i in range(len(basic_sfr.t)-1): j = len(basic_sfr.t)-i metallicity = float(cube.cube['Z'][i]) solar_scaled_material = PRIMORDIAL_INFALL(list(elements_to_trace),np.copy(basic_solar.table)) solar_scaled_material.solar(np.log10(metallicity/basic_solar.z)) element_fractions = list(solar_scaled_material.fractions) for item in elements_to_trace: element_fractions.append(float(np.copy(cube.cube[item][max(i-1,0)]/cube.cube['gas'][max(i-1,0)])))## gas element fractions from one time step before time_steps = np.copy(basic_sfr.t[:j]) basic_ssp.calculate_feedback(float(metallicity), list(elements_to_trace), list(element_fractions), np.copy(time_steps)) cube.advance_one_step(i+1,np.copy(basic_ssp.table),np.copy(basic_ssp.sn2_table),np.copy(basic_ssp.agb_table),np.copy(basic_ssp.sn1a_table),np.copy(basic_ssp.bh_table)) abundances,elements,numbers = mass_fraction_to_abundances(np.copy(cube.cube),np.copy(basic_solar.table)) weights = cube.cube['sfr'] abundances = append_fields(abundances,'weights',weights) abundances = np.array(abundances) return cube, abundances
[docs]def multi_star_optimization(): ''' This function will optimize the parameters of all stars in a hierachical manner (similar to gibbs sampling) INPUT: a = will be loaded from parameter.py (prepare all variables there) OUTPUT: log_list = a list of intermediate results (so far only for debugging) ''' import time import multiprocessing as mp from .optimization import minimizer_initial, minimizer_global, minimizer_local from .cem_function import global_optimization_error_returned from .parameter import ModelParameters a = ModelParameters() print(a.stellar_identifier_list) start_time = time.time() log_list = [] # I: Minimization for each star seperately # 1: for each star make initial conditions (each star needs other model parameters) parameter_list = [] for item in a.stellar_identifier_list: parameter_list.append(item) # 2: call posterior_function_for_minimization with scipy.optimize.minimize in multiprocess for each star and recover the found parameters p = mp.Pool(len(parameter_list)) t = p.map(minimizer_initial, parameter_list) p.close() p.join() result = np.vstack(t) log_list.append(np.copy(result)) log_list.append('initial minimization') initial = time.time() print('first minimization for each star separately took: %2.f seconds' %(initial - start_time)) # IV: repeat II and III until posterior does not change much result[:,:len(a.SSP_parameters)] = np.mean(result[:,:len(a.SSP_parameters)], axis = 0) posteriors = [] counter = 0 while True: counter += 1 if len(posteriors) > 1: if np.abs(posteriors[-1] - posteriors[-2]) < a.gibbs_sampler_tolerance: break if len(posteriors) > a.gibbs_sampler_maxiter: break initial = time.time() # II: Global parameter minimization: # 1: only SSP parameters free. Use mean SSP parameter values and individual (but fixed ISM parameter values) changing_parameter = result[0,:len(a.SSP_parameters)] # 2: Call each star in multiprocess but only return the predictions # 3: Calculate the likelihood for each star and optimize the common model error (is all done within minimizer global, which is calling 'global optimization') x = minimizer_global(changing_parameter, a.tol_minimization, a.maxiter_minimization, a.verbose, result) # 4: return global SSP parameters and common model error posterior, error_list, elements = global_optimization_error_returned(x, result) posteriors.append(posterior) print(posteriors) global_iteration1 = time.time() print('step %d global minimization took: %2.f seconds' %(counter, global_iteration1 - initial)) # III: Local parameter minimization: # 1: Use fixed global parameters and fixed common errors make initial conditions result[:,:len(a.SSP_parameters)] = x log_list.append((np.copy(x),posterior)) log_list.append('step %d global minimization' %(counter)) p0_list = [] parameter_list = [] x_list = [] error_list_mp = [] element_list_mp = [] for i,item in enumerate(a.stellar_identifier_list): parameter_list.append(item) p0_list.append(result[i,len(a.SSP_parameters):]) x_list.append(x) error_list_mp.append(error_list) element_list_mp.append(elements) args = zip(p0_list,parameter_list,x_list,error_list_mp,element_list_mp) # 2: Minimize each star ISM parameters in multiprocess p = mp.Pool(len(parameter_list)) t = p.map(minimizer_local, args) p.close() p.join() local_parameters = np.vstack(t) result[:,len(a.SSP_parameters):] = local_parameters log_list.append(np.copy(result)) log_list.append('step %d local minimization' %(counter)) local_iteration1 = time.time() print('step %d local minimization took: %2.f seconds' %(counter, local_iteration1 - global_iteration1)) log_list.append(posteriors) print(log_list) # V: MCMC run ## reshape the result to have global parameters in the front and the local parameters following changing_parameter = list(result[0,:len(a.SSP_parameters)]) for i in range(result.shape[0]): changing_parameter.append(list(result[i,len(a.SSP_parameters):])) changing_parameter = np.hstack(changing_parameter) ## jitter the parameters to initialise the chain (add a validation later, i.e. testing that the particular parameters yield a result) mcmc_multi(changing_parameter, error_list, elements) # 1: Free all parameters and optimize common error (SSP should be the same for all stars) # 2: Plug everything into emcee and sample the posterior return log_list
[docs]def mcmc(a): ''' Convenience function to use the MCMC. A subdirectory mcmc/ will be created in the current directory and intermediate chains will be stored there. The chains are not actually flattened as the file name suggests. The MCMC will sample the volume of best posterior for the likelihood functions that are declared in parameter.py. Default is ['sol_norm','gas_reservoir','sn_ratio'] which corresponds to 'Sun+' from the paper. ''' import time import os import multiprocessing as mp from .optimization import creating_chain, posterior_probability import emcee from multiprocessing import Pool start1 = time.time() directory = 'mcmc/' if os.path.exists(directory): if a.verbose: print('%s already existed. Content might be overwritten' %(directory)) else: os.makedirs(directory) a.check_processes = False a.number_of_models_overplotted = 1 a.only_net_yields_in_process_tables = False a.testing_output = False a.summary_pdf = False a.nthreads = mp.cpu_count() chain = creating_chain(a,np.copy(a.p0)) sampler = emcee.EnsembleSampler(a.nwalkers,a.ndim,posterior_probability, args = [a]) pos,prob,state,blobs = sampler.run_mcmc(chain,a.mburn) mean_prob = mean_prob_beginning = np.zeros((a.m)) posterior_list = [] posterior_std_list = [] for i in range(a.m): print('step ', i+1 , 'of ',a.m) pos, prob, state, blobs = sampler.run_mcmc(pos, a.save_state_every, rstate0=state, log_prob0=prob, blobs0 = blobs, store = True) np.save('%s/flatchain' %(directory),np.swapaxes(sampler.get_chain(flat=False),0,1)) np.save('%s/flatlnprobability' %(directory),np.swapaxes(sampler.get_log_prob(flat=False),0,1)) np.save('%s/flatblobs' %(directory),np.swapaxes(sampler.get_blobs(flat=False),0,1)) posterior = np.load('%s/flatlnprobability.npy' %(directory)) posterior_list.append(np.mean(posterior, axis = 0)[-1]) posterior_std_list.append(np.std(posterior, axis = 0)[-1]) np.save('%s/flatmeanposterior' %(directory), posterior_list) np.save('%s/flatstdposterior' %(directory), posterior_std_list) print(np.mean(posterior, axis = 0)[0], np.mean(posterior, axis = 0)[-1]) if i>202: print('posterior -1, -100, -200',np.mean(posterior, axis = 0)[-1], np.mean(posterior, axis = 0)[-100], np.mean(posterior, axis = 0)[-200]) print('posterior 0, 100, 200',np.mean(posterior, axis = 0)[0], np.mean(posterior, axis = 0)[100], np.mean(posterior, axis = 0)[200]) #print("Mean acceptance fraction:", sampler.acceptance_fraction) elapsed1 = (time.time() - start1) print('calculation so far took', elapsed1, ' seconds') if i>a.min_mcmc_iterations and np.abs(np.mean(posterior, axis = 0)[-1] - np.mean(posterior, axis = 0)[-100]) < a.mcmc_tolerance and np.abs(np.mean(posterior, axis = 0)[-1] - np.mean(posterior, axis = 0)[-200]) < a.mcmc_tolerance: break if a.send_email: send_email(a.nthreads, i, np.mean(posterior, axis = 0)[0], np.mean(posterior, axis = 0)[-1], a, elapsed1)
[docs]def mcmc_multi(changing_parameter, error_list, elements): ''' Convenience function to use the MCMC for multiple zones (and therefore multiple observations). A subdirectory mcmc/ will be created in the current directory and intermediate chains will be stored there. The MCMC will sample the volume of best posterior for the likelihood functions that are declared in parameter.py. Default is a list of Proto-sun, Arcturus and B-stars. The MCMC uses many walkers and can use multiple threads. Each walker will evaluate a series of Chempy zones and add their posterior together which then will be returned. INPUT: changing_parameter = the parameter vector for initialization (will usually be found from minimization before). The initial chain will be created by jittering slightly the initial parameter guess error_list = the vector of element errors elements = the corresponding element symbols OUTPUT: The function will create a folder and store the chain as well as the predicted element values The MCMC stops when the convergence criteria is met, which is when the median posterior of all walkers does not change much inbetween 200 steps anymore. ''' import time import os import multiprocessing as mp from .cem_function import posterior_function_many_stars from .parameter import ModelParameters import emcee a = ModelParameters() start1 = time.time() directory = 'mcmc/' if os.path.exists(directory): if a.verbose: print('%s already existed. Content might be overwritten' %(directory)) else: os.makedirs(directory) nthreads = mp.cpu_count() ndim = len(changing_parameter) a.nwalkers = max(a.nwalkers, int(ndim*2)) chain = np.empty(shape = (a.nwalkers,ndim)) for i in range(a.nwalkers): result = -np.inf while result == -np.inf: jitter = np.random.normal(loc = 0, scale = 0.001, size = ndim) result, dummy = posterior_function_many_stars(changing_parameter + jitter,error_list,elements) chain[i] = changing_parameter + jitter sampler = emcee.EnsembleSampler(a.nwalkers,ndim,posterior_function_many_stars, args = [error_list,elements]) pos,prob,state,blobs = sampler.run_mcmc(chain,a.mburn) mean_prob = mean_prob_beginning = np.zeros((a.m)) posterior_list = [] posterior_std_list = [] for i in range(a.m): print('step ', i+1 , 'of ',a.m) pos, prob, state, blobs = sampler.run_mcmc(pos, a.save_state_every, rstate0=state, log_prob0=prob, blobs0 = blobs, store = True) np.save('%s/flatchain' %(directory),np.swapaxes(sampler.get_chain(flat=False),0,1)) np.save('%s/flatlnprobability' %(directory),np.swapaxes(sampler.get_log_prob(flat=False),0,1)) np.save('%s/flatblobs' %(directory),np.swapaxes(sampler.get_blobs(flat=False),0,1)) posterior = np.load('%s/flatlnprobability.npy' %(directory)) posterior_list.append(np.mean(posterior, axis = 0)[-1]) posterior_std_list.append(np.std(posterior, axis = 0)[-1]) np.save('%s/flatmeanposterior' %(directory), posterior_list) np.save('%s/flatstdposterior' %(directory), posterior_std_list) print(np.mean(posterior, axis = 0)[0], np.mean(posterior, axis = 0)[-1]) if i>202: print('posterior -1, -100, -200',np.mean(posterior, axis = 0)[-1], np.mean(posterior, axis = 0)[-100], np.mean(posterior, axis = 0)[-200]) print('posterior 0, 100, 200',np.mean(posterior, axis = 0)[0], np.mean(posterior, axis = 0)[100], np.mean(posterior, axis = 0)[200]) #print("Mean acceptance fraction:", sampler.acceptance_fraction) elapsed1 = (time.time() - start1) print('calculation so far took', elapsed1, ' seconds') if i>a.min_mcmc_iterations and np.abs(np.mean(posterior, axis = 0)[-1] - np.mean(posterior, axis = 0)[-100]) < a.mcmc_tolerance and np.abs(np.mean(posterior, axis = 0)[-1] - np.mean(posterior, axis = 0)[-200]) < a.mcmc_tolerance: break if a.send_email: send_email(nthreads, i, np.mean(posterior, axis = 0)[0], np.mean(posterior, axis = 0)[-1], a, elapsed1)
[docs]def send_email(thread_count, iteration_count, posterior_beginning, posterior_end, parameters, time): from email.MIMEMultipart import MIMEMultipart from email.MIMEText import MIMEText import smtplib fromaddr = "pythonspeaking@gmail.com" toaddr = "rybizki@mpia.de" msg = MIMEMultipart() msg['From'] = fromaddr msg['To'] = toaddr msg['Subject'] = "Threads = %d, Run finished after %.2f hours" %(thread_count, time/3600.) body = "After %.1f hours %d threads produced %d iterations.\n The posterior at beginning was: %.2f. The posterior now is: %.2f.\n The stellar identifier list = %s.\n The error marginalization is %s \n The yields are: %s %s %s \n " %(time/3600., thread_count, iteration_count, posterior_beginning, posterior_end, str(parameters.stellar_identifier_list), str(parameters.error_marginalization), parameters.yield_table_name_sn2, parameters.yield_table_name_agb, parameters.yield_table_name_1a) msg.attach(MIMEText(body, 'plain')) server = smtplib.SMTP('smtp.gmail.com', 587) server.ehlo() server.starttls() server.ehlo() server.login("pythonspeaking@gmail.com", "MPIA_Server_runs") text = msg.as_string() server.sendmail(fromaddr, toaddr, text)