{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1D Plotting Functionalities for POSYDON PSyGrids"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tutorial shows you how to plot single and binary stellar tracks using the `plot1D` visualization library.\n",
    "If you haven't done it already, export the environemnt variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "env: PATH_TO_POSYDON=/Users/simone/Google Drive/github/POSYDON-public/\n",
      "env: PATH_TO_POSYDON_DATA=/Volumes/T7/\n"
     ]
    }
   ],
   "source": [
    "%env PATH_TO_POSYDON=/Users/simone/Google Drive/github/POSYDON-public/\n",
    "%env PATH_TO_POSYDON_DATA=/Volumes/T7/"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: the HMS-HMS gird"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's start by loading the grid."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "from posydon.config import PATH_TO_POSYDON_DATA\n",
    "from posydon.grids.psygrid import PSyGrid\n",
    "\n",
    "path_to_gird = os.path.join(PATH_TO_POSYDON_DATA, 'POSYDON_data/HMS-HMS/1e-01_Zsun.h5')\n",
    "grid = PSyGrid(path_to_gird)\n",
    "grid.load()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot one quantity as a function of another"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We arbitrary choose the binary 42 to illustrate the plotting funtionalities. You can plot quantities stored in: ``history1``, ``history2``, or ``binary_history``."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "binary_history columns: ['model_number' 'age' 'star_1_mass' 'star_2_mass' 'period_days'\n",
      " 'binary_separation' 'lg_system_mdot_1' 'lg_system_mdot_2'\n",
      " 'lg_wind_mdot_1' 'lg_wind_mdot_2' 'lg_mstar_dot_1' 'lg_mstar_dot_2'\n",
      " 'lg_mtransfer_rate' 'xfer_fraction' 'rl_relative_overflow_1'\n",
      " 'rl_relative_overflow_2' 'trap_radius' 'acc_radius' 't_sync_rad_1'\n",
      " 't_sync_conv_1' 't_sync_rad_2' 't_sync_conv_2']\n",
      "\n",
      "history1/2 columns: ['he_core_mass' 'c_core_mass' 'o_core_mass' 'he_core_radius'\n",
      " 'c_core_radius' 'o_core_radius' 'center_h1' 'center_he4' 'center_c12'\n",
      " 'center_n14' 'center_o16' 'surface_h1' 'surface_he4' 'surface_c12'\n",
      " 'surface_n14' 'surface_o16' 'c12_c12' 'center_gamma' 'avg_c_in_c_core'\n",
      " 'surf_avg_omega' 'surf_avg_omega_div_omega_crit' 'log_LH' 'log_LHe'\n",
      " 'log_LZ' 'log_Lnuc' 'log_Teff' 'log_L' 'log_R' 'log_center_T'\n",
      " 'log_center_Rho' 'total_moment_of_inertia' 'spin_parameter'\n",
      " 'log_total_angular_momentum' 'conv_env_top_mass' 'conv_env_bot_mass'\n",
      " 'conv_env_top_radius' 'conv_env_bot_radius' 'conv_env_turnover_time_g'\n",
      " 'conv_env_turnover_time_l_b' 'conv_env_turnover_time_l_t'\n",
      " 'envelope_binding_energy' 'mass_conv_reg_fortides'\n",
      " 'thickness_conv_reg_fortides' 'radius_conv_reg_fortides'\n",
      " 'lambda_CE_1cent' 'lambda_CE_10cent' 'lambda_CE_30cent' 'co_core_mass'\n",
      " 'co_core_radius' 'lambda_CE_pure_He_star_10cent' 'log_L_div_Ledd']\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "print('binary_history columns:', np.squeeze(grid[42].binary_history.dtype.names))\n",
    "print('')\n",
    "print('history1/2 columns:', np.squeeze(grid[42].history1.dtype.names))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 338x338 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 338x338 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PLOT_PROPERTIES = {\n",
    "    'show_fig' : True,\n",
    "    'close_fig' : True,\n",
    "    #'path_to_file': './dirname/', \n",
    "    #'fname': 'filename.png', # specify the file name if you want to safe the figure\n",
    "}\n",
    "\n",
    "grid.plot(42, 'age', 'star_1_mass', history='binary_history', **PLOT_PROPERTIES)\n",
    "grid.plot(42,  'log_R', 'log_L', history='history1', **PLOT_PROPERTIES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot multiple quantities as a function of one quantity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can display more properties as a function of another in a subplot like the following examples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x800 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x800 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PLOT_PROPERTIES['figsize'] = (4., 8.)\n",
    "\n",
    "grid.plot(42, 'age', ['star_1_mass', 'star_2_mass', 'binary_separation'], history='binary_history', **PLOT_PROPERTIES)\n",
    "grid.plot(42, 'log_R', ['log_LH', 'log_LHe','log_LZ'], history='history1', **PLOT_PROPERTIES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot one or more quantities as a function of another for multiple tracks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If one wants to compare multiple tracks on the same plot, the indices for all binaries can be provided as a list."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 338x338 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PLOT_PROPERTIES['figsize'] = (3.38, 3.38) # default\n",
    "PLOT_PROPERTIES['legend1D'] = dict(loc='center right', lines_legend=['41','42','45'])\n",
    "\n",
    "grid.plot([41,42,45], 'age', 'binary_separation', history='binary_history', **PLOT_PROPERTIES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot a third quantity as a color map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 338x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PLOT_PROPERTIES['figsize'] = (3.38, 5)\n",
    "PLOT_PROPERTIES['log10_x'] = True\n",
    "PLOT_PROPERTIES['legend1D'] = dict(loc='upper left', lines_legend=['42'])\n",
    "\n",
    "grid.plot(42, 'binary_separation', 'star_1_mass', 'lg_mstar_dot_1', history='binary_history', **PLOT_PROPERTIES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting an Hertzsprung–Russell diagram"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One can easily plot the Hertzsprung–Russell (HR) diagram using the ``HR`` method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 338x338 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PLOT_PROPERTIES['figsize'] = (3.38, 3.38) # default\n",
    "\n",
    "grid.HR(42, history='history1', **PLOT_PROPERTIES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that multiple tracks at once can also be displayed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 338x338 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PLOT_PROPERTIES['legend1D'] = dict(loc='upper left', lines_legend=['41','42','45'])\n",
    "grid.HR([41,42,45], history='history1', **PLOT_PROPERTIES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: the single HMS gird"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting an Hertzsprung–Russell diagram"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The ``HR`` diagram method has also an option to display the stellar states of the tracks. Here we show how to reproduce a HR diagram that looks like Fig. 5 in Fragos et al. (2023)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 338x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load single HMS grid\n",
    "path_to_gird = os.path.join(PATH_TO_POSYDON_DATA, 'POSYDON_data/single_HMS/1e-01_Zsun.h5')\n",
    "grid = PSyGrid(path_to_gird)\n",
    "grid.load()\n",
    "\n",
    "PLOT_PROPERTIES = {\n",
    "    'figsize' : (3.38, 5),\n",
    "    'show_fig' : True,\n",
    "    'close_fig' : True,\n",
    "    #'path_to_file': './dir/',\n",
    "    #'fname': 'filename.png', # specify filename to save the figure\n",
    "    'xmin' : 3.,\n",
    "    'xmax' : 6.,\n",
    "    'ymin' : -1.5,\n",
    "    'ymax' : 7.5,\n",
    "    'const_R_lines' : True,\n",
    "    'legend1D' : {\n",
    "        'loc' : 'upper center',\n",
    "        'bbox_to_anchor' : (0.4, 1.27),\n",
    "        'ncol' : 2,\n",
    "        'prop': {\n",
    "            'size': 6\n",
    "        },\n",
    "        }\n",
    "}\n",
    "\n",
    "# chose a subsample of tracks\n",
    "idx = np.around(np.argsort(grid.initial_values['S1_star_mass']),2)[::8].tolist()\n",
    "\n",
    "grid.HR(idx, history='history1', states=True, **PLOT_PROPERTIES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: the single HeMS gird"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting an Hertzsprung–Russell diagram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 338x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load single HeMS grid\n",
    "path_to_gird = os.path.join(PATH_TO_POSYDON_DATA, 'POSYDON_data/single_HeMS/1e-01_Zsun.h5')\n",
    "grid = PSyGrid(path_to_gird)\n",
    "grid.load()\n",
    "\n",
    "PLOT_PROPERTIES['ymin'] = -0.5 \n",
    "PLOT_PROPERTIES['xmin'] = 3.5\n",
    "\n",
    "# chose a subsample of tracks\n",
    "idx = np.around(np.argsort(grid.initial_values['S1_star_mass']),2)[::8].tolist()\n",
    "\n",
    "grid.HR(idx, history='history1', states=True, **PLOT_PROPERTIES)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Congratulations! You have successfully completed this tutorial. You now master POSYDON 1D visualization tools."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "posydon_env",
   "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": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}