{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting Macro Phase-Space Constraints" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [], "source": [ "\"\"\"\n", " TITLE : Plotting Macro Phase-Space Constraints\n", " PROJECT : macro_lightning\n", "\"\"\"\n", "\n", "__author__ = \"Nathaniel Starkman\"\n", "__version__ = \"Jun 24, 2020\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " About\n", "\n", "\n", "This notebook gives some examples of the functions in `macro_lightning.plot`. Of particular note is the function `constraint_plot` which allows very easy creation of a standardized mass - cross-section constraint plot." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Imports**" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [], "source": [ "# THIRD PARTY\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# PROJECT-SPECIFIC\n", "import macro_lightning\n", "from macro_lightning import plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Parameters**" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "m_arr = np.logspace(1, 25)\n", "mmin = m_arr.min()\n", "mmax = m_arr.max()\n", "\n", "sigmin: float = 1e-15\n", "sigmax: float = 1e25" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", "\n", "- - - \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Individual Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most sources of constraints on macros are offered as individual functions. To name a few, there are:\n", "\n", " - plot_white_dwarf_constraints\n", " - plot_cmb_constraints\n", " - plot_superbursts_constraints\n", " - plot_humandeath_constraints\n", "\n", "All these functions, and documentation are available in the code, on GitHub, and readthedocs.\n", "\n", "We show a few of these constraint plotters below." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 4))\n", "ax.set_xlabel(r\"$M_{X}$ [g]\", fontsize=18)\n", "ax.set_xlim(mmin, mmax)\n", "ax.set_ylim(sigmin, sigmax) # min/max of nuclear_density(M1)\n", "ax.set_ylabel(r\"$\\sigma_{X}$ [cm$^{2}$]\", fontsize=18)\n", "\n", "# first we plot a few reference densities.\n", "plot.plot_reference_densities(m_arr)\n", "\n", "# plotting some constraints\n", "plot.plot_white_dwarf_constraints(label=True)\n", "plot.plot_superbursts_constraints(label=True)\n", "\n", "plt.legend()\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", "\n", "- - - \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Constraint Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For convenience we consolidate all the current constraint plots into a single context manager. This allows for a plot to be defined and additional constraints easily added." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plot.constraints_plot(\n", " m_arr=m_arr,\n", " sigmin=sigmin,\n", " sigmax=sigmax,\n", " constr_labels=True,\n", " WD_constr=True,\n", " superbursts_constr=True,\n", "):\n", " plot.plot_mica_constraints(label=True)\n", " plot.plot_humandeath_constraints(label=True)\n", "\n", " # any plotting code can be added here.\n", "\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And demonstrating all available constraints" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with plot.constraints_plot(\n", " m_arr=m_arr,\n", " sigmin=sigmin,\n", " sigmax=sigmax,\n", " all_constrs=True,\n", " constr_labels=True,\n", " savefig=\"figures/full_constraints_plot.pdf\",\n", "):\n", " pass\n", "\n", "plt.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

\n", "\n", "- - - \n", "\n", "\n", " END\n", "" ] } ], "metadata": { "kernel_info": { "name": "utilipy" }, "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": "3.7.4" }, "nteract": { "version": "0.23.3" } }, "nbformat": 4, "nbformat_minor": 4 }