{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Comparing 21cmFAST with 21cmEMU directly\n", "\n", "In this tutorial, we will use 21cmFAST to simulate a lightcone and compare it with the output from 21cmEMU. \n", "We will compare the EoR history and global signal." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/dani/anaconda3/envs/21cmEMU/lib/python3.9/site-packages/py21cmfast/_cfg.py:57: UserWarning: Your configuration file is out of date. Updating...\n", " warnings.warn(\n", "/home/dani/anaconda3/envs/21cmEMU/lib/python3.9/site-packages/py21cmfast/_cfg.py:41: UserWarning: Your configuration file is out of date. Updating...\n", " warnings.warn(\"Your configuration file is out of date. Updating...\")\n" ] } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import py21cmfast as p21c\n", "\n", "from py21cmemu import Emulator\n", "from py21cmemu.properties import (\n", " COSMO_PARAMS,\n", " FLAG_OPTIONS,\n", " USER_PARAMS,\n", " emulator_properties,\n", ")\n", "\n", "limits = emulator_properties.limits" ] }, { "cell_type": "code", "execution_count": 171, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'3.3.1.dev6+g95523bc'" ] }, "execution_count": 171, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p21c.__version__" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Let's take a test param that is already in 21cmFAST-friendly units\n", "test_param = [\n", " -0.98454527,\n", " 0.84028646,\n", " -1.01608287,\n", " 0.03414988,\n", " 9.02499104,\n", " 0.45168016,\n", " 40.0,\n", " 500.0,\n", " 1.0,\n", "]\n", "keys = [\n", " \"F_STAR10\",\n", " \"ALPHA_STAR\",\n", " \"F_ESC10\",\n", " \"ALPHA_ESC\",\n", " \"M_TURN\",\n", " \"t_STAR\",\n", " \"L_X\",\n", " \"NU_X_THRESH\",\n", " \"X_RAY_SPEC_INDEX\",\n", "]\n", "\n", "input_dict = {k: v for k, v in zip(keys, test_param, strict=False)}" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'F_STAR10': -0.98454527,\n", " 'ALPHA_STAR': 0.84028646,\n", " 'F_ESC10': -1.01608287,\n", " 'ALPHA_ESC': 0.03414988,\n", " 'M_TURN': 9.02499104,\n", " 't_STAR': 0.45168016,\n", " 'L_X': 40.0,\n", " 'NU_X_THRESH': 500.0,\n", " 'X_RAY_SPEC_INDEX': 1.0}" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "input_dict" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "ap = p21c.AstroParams(input_dict)" ] }, { "cell_type": "code", "execution_count": 206, "metadata": {}, "outputs": [], "source": [ "lightcone = p21c.run_lightcone(\n", " redshift=6.0,\n", " max_redshift=15.0,\n", " astro_params=ap,\n", " user_params=USER_PARAMS,\n", " lightcone_quantities=(\"brightness_temp\", \"density\"),\n", " global_quantities=(\"brightness_temp\", \"density\", \"xH_box\"),\n", " flag_options=FLAG_OPTIONS,\n", " cosmo_params=COSMO_PARAMS,\n", " direc=\"_cache\",\n", ")" ] }, { "cell_type": "code", "execution_count": 207, "metadata": {}, "outputs": [], "source": [ "np.savez(\n", " \"lightcone_example\",\n", " redshifts=lightcone.node_redshifts,\n", " xHI=lightcone.global_xHI,\n", " Tb=lightcone.global_brightness_temp,\n", " pars=input_dict,\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "lightcone = np.load(\"lightcone_example.npz\")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "emu = Emulator()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "theta, out, errs = emu.predict(input_dict)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "zs = out.redshifts\n", "xHI = out.xHI\n", "Tb = out.Tb" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "fs = 25\n", "plt.plot(zs, xHI, ls=\"-.\", color=\"k\", label=\"21cmEMU\")\n", "# plt.plot(lightcone.node_redshifts, lightcone.global_xHI, color = 'k', label = '21cmFAST')\n", "plt.plot(lightcone[\"redshifts\"], lightcone[\"xHI\"], color=\"k\", label=\"21cmFAST\")\n", "\n", "plt.legend(fontsize=fs)\n", "plt.xticks(fontsize=fs)\n", "plt.yticks(fontsize=fs)\n", "plt.ylabel(r\"$\\overline{x}$HI\", fontsize=fs)\n", "plt.xlabel(r\"Redshift z\", fontsize=fs)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Directly compare Tb from test set and Tb predicted by emulator\n", "N = 7\n", "cs = [\"k\", \"r\", \"lime\", \"b\", \"orange\", \"cyan\", \"magenta\", \"coral\"]\n", "plt.figure(figsize=(10, 6))\n", "\n", "plt.plot(zs, Tb, ls=\"-.\", color=\"k\", label=\"21cmEMU\")\n", "# plt.plot(lightcone.node_redshifts, lightcone.global_brightness_temp, color = 'k', label = '21cmFAST')\n", "plt.plot(lightcone[\"redshifts\"], lightcone[\"Tb\"], color=\"k\", label=\"21cmFAST\")\n", "plt.legend(fontsize=fs)\n", "plt.xticks(fontsize=fs)\n", "plt.yticks(fontsize=fs)\n", "plt.ylabel(r\"$\\overline{T}_b$ [mK]\", fontsize=fs)\n", "plt.xlabel(r\"Redshift z\", fontsize=fs)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "21cmEMU", "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": "3.9.16" } }, "nbformat": 4, "nbformat_minor": 4 }