{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Post-processing N-body snapshots with BEoRN\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2024-06-17T15:07:03.035800Z", "start_time": "2024-06-17T15:07:02.014986Z" } }, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# Add the local version of the module to the path\n", "import sys\n", "sys.path.append('../src/')" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2024-06-17T15:07:06.413969Z", "start_time": "2024-06-17T15:07:03.038484Z" }, "scrolled": false }, "outputs": [], "source": [ "from beorn import run\n", "from beorn.astro import f_star_Halo\n", "from beorn.plotting import *\n", "from beorn.parameters import Parameters" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2023-06-21T13:41:53.644921Z", "start_time": "2023-06-21T13:41:53.641355Z" } }, "source": [ "## Choose a source model.\n", "For more details on parameter definitions, see [arXiv/2305.15466](https://arxiv.org/abs/2305.15466)." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2024-06-17T15:07:06.429880Z", "start_time": "2024-06-17T15:07:06.418505Z" } }, "outputs": [], "source": [ "parameters = Parameters()\n", "\n", "# # Halo Mass bins\n", "parameters.simulation.halo_mass_bin_min = 1e7\n", "parameters.simulation.halo_mass_bin_max = 1e15\n", "parameters.simulation.halo_mass_bin_n = 40 # nbr of halo mass bin\n", "\n", "# name your simulation\n", "parameters.simulation.model_name = 'test'\n", "# Nbr of cores to use\n", "parameters.simulation.cores = 1 \n", "\n", "# simulation redshifts\n", "parameters.solver.Nz = [7.72] \n", "\n", "# cosmo\n", "parameters.cosmology.Om = 0.31\n", "parameters.cosmology.Ob = 0.045\n", "parameters.cosmology.Ol = 0.69\n", "parameters.cosmology.h = 0.68\n", "\n", "# Source parameters\n", "# lyman-alpha \n", "parameters.source.n_lyman_alpha_photons = 9690 # 1500\n", "parameters.source.alS_lyal = 0.0\n", "# ion\n", "parameters.source.Nion = 3000 \n", "# xray\n", "parameters.source.E_min_xray = 500\n", "parameters.source.E_max_xray = 10000\n", "parameters.source.E_min_sed_xray = 200\n", "parameters.source.E_max_sed_xray = 10000\n", "parameters.source.alS_xray = 1.5\n", "parameters.source.xray_normalisation = 3.4e40\n", "\n", "# fesc\n", "parameters.source.f0_esc = 0.2\n", "parameters.source.pl_esc = 0.5\n", "\n", "# fstar\n", "parameters.source.f_st = 0.14\n", "parameters.source.g1 = 0.49\n", "parameters.source.g2 = -0.61\n", "parameters.source.g3 = 4\n", "parameters.source.g4 = -4\n", "parameters.source.Mp = 1.6e11 * parameters.cosmology.h\n", "parameters.source.Mt = 1e9\n", "\n", "# Minimum star forming halo\n", "parameters.source.halo_mass_min = 1e8\n", "\n", "# Mass Accretion Rate model (EXP or EPS)\n", "parameters.source.mass_accretion_model = 'EPS'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute profiles (ly-al, xHII, Tk)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2024-06-17T14:36:49.940041Z", "start_time": "2024-06-17T14:36:05.498071Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing Temperature (Tk), Lyman-α and ionisation fraction (xHII) profiles...\n", "param.solver.Nz is given as a list.\n", "param.solver.fXh is set to constant. We will assume f_X,h = 2e-4**0.225\n", "... Profiles stored in dir ./profiles.\n", " \n", "It took 00:01:22 to compute the profiles.\n" ] } ], "source": [ "# Step 1 : profiles\n", "run.compute_profiles(parameters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot the profiles" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2024-06-17T14:39:39.497994Z", "start_time": "2024-06-17T14:39:36.613967Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "<>:5: SyntaxWarning: invalid escape sequence '\\o'\n", "<>:5: SyntaxWarning: invalid escape sequence '\\o'\n", "/tmp/ipykernel_47215/2170824821.py:5: SyntaxWarning: invalid escape sequence '\\o'\n", " plt.xlabel('M$_*$ $[M_{\\odot}]$', fontsize=15)\n" ] }, { "ename": "NameError", "evalue": "name 'beorn' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[25], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m profiles \u001b[38;5;241m=\u001b[39m \u001b[43mbeorn\u001b[49m\u001b[38;5;241m.\u001b[39mload_f(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m./profiles/test.pkl\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m 2\u001b[0m plt\u001b[38;5;241m.\u001b[39mloglog(profiles\u001b[38;5;241m.\u001b[39mM_Bin, f_star_Halo(parameters,profiles\u001b[38;5;241m.\u001b[39mM_Bin))\n\u001b[1;32m 3\u001b[0m plt\u001b[38;5;241m.\u001b[39mylim(\u001b[38;5;241m0.002\u001b[39m,\u001b[38;5;241m0.3\u001b[39m)\n", "\u001b[0;31mNameError\u001b[0m: name 'beorn' is not defined" ] } ], "source": [ "profiles = beorn.load_f('./profiles/test.pkl')\n", "plt.loglog(profiles.M_Bin, f_star_Halo(parameters,profiles.M_Bin))\n", "plt.ylim(0.002,0.3)\n", "plt.ylabel(r'$f_*$ = $\\dot{M}_{*}/\\dot{M}_{\\mathrm{h}} $', fontsize=15)\n", "plt.xlabel('M$_*$ $[M_{\\odot}]$', fontsize=15)\n", "ind_M = 20\n", "plot_1D_profiles(parameters, profiles, ind_M, z_liste=[13,10,8])" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2023-06-21T13:45:04.576464Z", "start_time": "2023-06-21T13:45:04.573573Z" } }, "source": [ "## Paint profiles on 3D grids\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2024-06-17T15:07:06.435937Z", "start_time": "2024-06-17T15:07:06.431735Z" } }, "outputs": [], "source": [ "# Box size and Number of pixels\n", "Lbox = 100 # cMpc/h\n", "Ncell = 128\n", "parameters.simulation.Lbox = Lbox\n", "parameters.simulation.Ncell = Ncell\n", "parameters.simulation.halo_catalogs = './halo_catalog/pkdgrav_halos_z' ## path to dir with halo catalogs + filename\n", "parameters.simulation.dens_field = './density_field/grid_' + str(Ncell) + '_B100_CDM.z' # None\n", "parameters.simulation.dens_field_type = 'pkdgrav'\n", "parameters.simulation.store_grids = ['Tk','bubbles','lyal' ,'dTb'] \n", "\n", "# define k bins for PS measurement\n", "kmin = 1 / Lbox\n", "kmax = Ncell / Lbox\n", "kbin = int(6 * np.log10(kmax / kmin))\n", "parameters.simulation.kmin = kmin\n", "parameters.simulation.kmax = kmax\n", "parameters.simulation.kbin = kbin" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2024-06-17T15:07:09.260759Z", "start_time": "2024-06-17T15:07:08.794561Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Painting profiles on a grid with 128 pixels per dim. Box size is 100 cMpc/h.\n", "param.solver.Nz is given as a list.\n", "Core nbr 0 is taking care of z = 7.72\n", "----- Painting 3D map for z = 7.72 -------\n", "reading pkdgrav density field....\n", "There are 66390 halos at z= 7.715124\n", "Looping over halo mass bins and painting profiles on 3D grid .... \n", "Quick calculation from the profiles predicts xHII = 0.2363\n", "17220 halos in mass bin 16 . It took 00:00:02 to paint the profiles.\n", "24672 halos in mass bin 17 . It took 00:00:03 to paint the profiles.\n", "12567 halos in mass bin 18 . It took 00:00:05 to paint the profiles.\n", "6295 halos in mass bin 19 . It took 00:00:07 to paint the profiles.\n", "3075 halos in mass bin 20 . It took 00:00:08 to paint the profiles.\n", "1426 halos in mass bin 21 . It took 00:00:10 to paint the profiles.\n", "662 halos in mass bin 22 . It took 00:00:11 to paint the profiles.\n", "292 halos in mass bin 23 . It took 00:00:13 to paint the profiles.\n", "98 halos in mass bin 24 . It took 00:00:15 to paint the profiles.\n", "56 halos in mass bin 25 . It took 00:00:16 to paint the profiles.\n", "15 halos in mass bin 26 . It took 00:00:18 to paint the profiles.\n", "9 halos in mass bin 27 . It took 00:00:19 to paint the profiles.\n", "3 halos in mass bin 28 . It took 00:00:21 to paint the profiles.\n", ".... Done painting profiles. \n", "Dealing with the overlap of ionised bubbles.... \n", "initial sum of ionized fraction : 501329.19\n", "Universe not fully ionized : xHII is 0.2391\n", "3838 connected regions.\n", "there are 2349 connected regions with less than 10.0 pixels. They contain a fraction 0.0215 of the total ionisation fraction.\n", "final xion sum: 501329.19\n", ".... Done. It took: 00:00:19 to redistribute excess photons from the overlapping regions.\n", "--- Including Salpha fluctuations in dTb ---\n", "--- Including xcoll fluctuations in dTb ---\n", "Computing Power Spectra with all cross correlations.\n", "----- Snapshot at z = 7.72 is done -------\n", " \n", "Finished painting the maps. They are stored in ./grid_output. It took in total: 00:00:45 to paint the grids.\n", " \n", "param.solver.Nz is given as a list.\n", "Computing global quantities (sfrd, Tk, xHII, dTb, xal, xcoll) from 1D profiles and halo catalogs....\n", "param.solver.Nz is given as a list.\n", "....done. Returns a dictionnary.\n" ] } ], "source": [ "# Step 2 : Paint Boxes and read and write GS and PS in ./physics/\n", "run.paint_boxes(parameters, RSD=False, ion=True, temp=True, dTb=True, lyal=True, check_exists = False, cross_corr=True)\n", "\n", "# Step 3 : gather the GS_PS files at different redshifts and create a single GS_PS.pkl file.\n", "run.gather_GS_PS_files(parameters,remove = False)\n", "\n", "# Option : Quick calculation of the global quantities from halo catalogs and profiles (similar to eq 11 in 2302.06626)\n", "GS = beorn.compute_glob_qty(parameters)\n", "beorn.save_f(file='./physics/GS_approx_' + parameters.simulation.model_name + '.pkl',obj = GS)\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2023-06-21T13:56:18.154323Z", "start_time": "2023-06-21T13:56:18.151032Z" } }, "source": [ "## Plot 3D maps\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2024-06-17T15:07:14.137022Z", "start_time": "2024-06-17T15:07:13.139579Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ncell is 128\n", "Ncell is 128\n", "Ncell is 128\n" ] }, { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from beorn.plotting import plot_2d_map\n", "slice_nbr = 64\n", "dTb_map = beorn.load_grid(parameters, z=7.72, type='dTb')\n", "T_map = beorn.load_grid(parameters, z=7.72, type='Tk')\n", "xHII_map = beorn.load_grid(parameters, z=7.72, type='bubbles')\n", "plot_2d_map(T_map, Lbox=Lbox, slice_nbr=slice_nbr, qty='Tk [K]',scale='log')\n", "plot_2d_map(xHII_map, Lbox=Lbox, slice_nbr=slice_nbr, qty='xHII')\n", "plot_2d_map(dTb_map, Lbox=Lbox, slice_nbr=slice_nbr, qty='dTb [mK]')\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2024-06-17T15:07:24.469136Z", "start_time": "2024-06-17T15:07:24.083891Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--BEORN -- plotting power spectrum of xHII at redshift 7.715\n", "--BEORN -- plotting power spectrum of dTb at redshift 7.715\n", "--BEORN -- plotting power spectrum of T at redshift 7.715\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z = 7.72\n", "PS = beorn.load_f('./physics/GS_PS_128_test.pkl')\n", "plot_PS_Beorn(z, PS, color='C0', ax=plt, label='PS_xHII', qty='xHII', ls='-', alpha=0.9, lw=2)\n", "plot_PS_Beorn(z, PS, color='C1', ax=plt, label='PS_dTb', qty='dTb', ls='-', alpha=0.9, lw=2)\n", "plot_PS_Beorn(z, PS, color='C2', ax=plt, label='PS_Tk', qty='T', ls='-', alpha=0.9, lw=2)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2023-06-21T13:23:23.700447Z", "start_time": "2023-06-21T13:23:22.705244Z" } }, "outputs": [], "source": [ "# ##### Plot the results (dTb, Tk, xHII, PS_dTb(z))\n", "# ##### Need more than 1 halo catalog.\n", "# import matplotlib.pyplot as plt\n", "# import matplotlib\n", "# from beorn.plotting import plot_Beorn_PS_of_z\n", "# import matplotlib.gridspec as gridspec\n", "# matplotlib.rc('xtick', labelsize=15)\n", "# matplotlib.rc('ytick', labelsize=15)\n", "# fig = plt.figure(constrained_layout=True)\n", "# fig.set_figwidth(18)\n", "\n", "# fig.set_figheight(6)\n", "\n", "# gs = gridspec.GridSpec(2, 3, figure=fig)\n", "\n", "# ax1 = fig.add_subplot(gs[:,0])\n", "# ax2 = fig.add_subplot(gs[0,1])\n", "# ax3 = fig.add_subplot(gs[1,1],sharex=ax2)\n", "# ax4 = fig.add_subplot(gs[:,2])\n", " \n", " \n", "\n", "# GS_PS = beorn.load_f('./physics/GS_PS_' + str(param.sim.Ncell) + '_' + param.sim.model_name + '.pkl')\n", "# GS_approx = beorn.load_f('./physics/GS_approx'+'_' + param.sim.model_name + '.pkl')\n", "\n", "# ax1.plot(GS_PS['z'],GS_PS['dTb'],'*',lw=2,alpha=0.8,ls='-',color='gray',label='BEoRN')\n", "# ax1.plot(GS_approx['z'],GS_approx['dTb'],ls='--',label='')\n", "# ax1.legend(fontsize=15,loc='upper right')\n", "# ax1.set_xlim(6,20)\n", "# ax1.set_ylim(-62,13)\n", "# ax1.set_xlabel('z',fontsize=15)\n", "# ax1.set_ylabel('dTb [mK]',fontsize=15)\n", "\n", "\n", "\n", "# ax2.plot(GS_PS['z'],GS_PS['Tk'],'*',lw=2,alpha=0.8,ls='-',color='gray',label='BEoRN')\n", "# ax2.plot(GS_approx['z'],GS_approx['Tk'],ls='--',color='gray')\n", "# ax2.semilogy([],[])\n", "# ax2.set_ylim(3,5e2)\n", "# ax2.set_ylabel('$T_{k}$ [K]',fontsize=17)\n", "# #plt.show()\n", "\n", "\n", "# ax3.plot(GS_PS['z'],GS_PS['x_HII'],'*',lw=2,alpha=0.8,ls='-',color='gray',label='BEoRN')\n", "# ax3.plot(GS_approx['z'],GS_approx['x_HII'],ls='--',color='gray')\n", "# ax3.set_xlim(6.3,15)\n", "# ax3.set_ylabel('$x_{\\mathrm{HII}}$',fontsize=17)\n", "# ax3.set_xlabel('z ',fontsize=17)\n", "\n", "\n", "# plot_Beorn_PS_of_z(0.1, GS_PS, GS_PS,ls='-',lw=1, color='b',RSD = False,label='',qty='dTb',alpha=1,ax=plt)\n", "\n", "\n", "# ax4.plot([1e-1],[1e-2])\n", "\n", "# ax4.set_ylim(1e-1,1e2)\n", "# ax4.set_xlim(5.8,18)\n", "# ax4.set_ylabel('$\\Delta_{21}^{2}(k,z)$ [mK]$^{2}$ ',fontsize=18) # k^{3}P(k)/(2\\pi^{2})\n", "# ax4.set_xlabel('z ',fontsize=17)\n", "# ax4.legend(loc='best',fontsize=15)\n", "\n", "# ax2.axes.get_xaxis().set_visible(False)\n", "# plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "thesis-ZCyL_QTt", "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": "3.13.1" } }, "nbformat": 4, "nbformat_minor": 4 }