{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Complex Stellar Histories\n",
    "---\n",
    "\n",
    "Download all the Jupyter notebooks from: https://github.com/HeloiseS/hoki_tutorials\n",
    "\n",
    "# Initial Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from hoki.constants import *\n",
    "\n",
    "%matplotlib inline\n",
    "plt.style.use('tuto.mplstyle')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### In this tutorial you will learn: \n",
    "\n",
    "- The Stellar Formation History class, `SFH`, and its attributes\n",
    "- Using `CSPEventRate` to generate event rates for complex stellar populations\n",
    "\n",
    "\n",
    "BPASS contains simple stellar populations (all co-eval) with a total of $10^{6}$ M$_\\odot$ at for a given metallicity and imf. \n",
    "While this is a valid assumption for some populations, others can have a more complex stellar formation history and metallicity evolution. Therefore, we introduce the `hoki.csp` package. \n",
    "This package allows for the creation of more complex stellar populations using the BPASS populations.\n",
    "\n",
    "\n",
    "# Stellar Formation History\n",
    "\n",
    "\n",
    "Many of the standard stellar formation histories (SFH) are included in `hoki.csp.sfh` package.\n",
    "These SFH are generated using the `SFH` class, which always takes a time array and a string as inputs. The time array determines the sampling of the time domain, while the string determines the type of SFH to use. Each available formation history has a unique string identifier. A list of all available formation histories and their identifiers can be found in the hoki documentation. #[link]!! [https://heloises.github.io/hoki/manual.html#module-hoki.csp.sfh]\n",
    "\n",
    "If you wish to us a built-in SFH, you will also needs to parse a dictionary containing the necessary parameters and their values.\n",
    "A comprehensive list of these can also be found in the documentation.\n",
    "\n",
    "In this example we load in three of the built-in SFH: \n",
    "\n",
    "- Burst\n",
    "- Constant\n",
    "- Log Normal\n",
    "\n",
    "\n",
    "### SFH class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from hoki.csp.sfh import SFH"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mbri637/Documents/code/hoki/hoki/csp/sfh.py:166: RuntimeWarning: divide by zero encountered in log\n",
      "  - ((np.log(self.time_axis/1e9) - self.params['T0']) ** 2) / (2 * self.params['tau'] ** 2)))\n"
     ]
    }
   ],
   "source": [
    "# Creating 100 time points from age 0 to the current age of the Universe\n",
    "time_axis = np.linspace(0,HOKI_NOW, 100)\n",
    "\n",
    "# Instanciating a Burst SFH\n",
    "burst = SFH(time_axis, \"b\", {\"T0\": 1e9, \"constant\":10})\n",
    "\n",
    "# Instanciating a constant SFH\n",
    "constant = SFH(time_axis, \"c\", {\"constant\":1})\n",
    "\n",
    "# Instanciating a log_normal SFH\n",
    "log_normal = SFH(time_axis, 'ln', {\"constant\":10, \"tau\":0.8, \"T0\":1})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have create `SFH` instances, we can take a look at their shapes by plotting them.\n",
    "Like other `hoki` objects (`HRDiagram`, `CMD`), the `SFH` class comes with its own plotting method: `SFH.plot()`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mbri637/Documents/code/hoki/hoki/csp/sfh.py:170: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
      "  sfh_plot = plt.subplot(loc)\n",
      "/Users/mbri637/Documents/code/hoki/hoki/csp/sfh.py:170: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
      "  sfh_plot = plt.subplot(loc)\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1050x750 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "burst.plot(label=\"burst\")\n",
    "constant.plot(label=\"constant\")\n",
    "log_normal.plot(label=\"log normal\")\n",
    "plt.title(\"Built-in Stellar Formation Histories\")\n",
    "plt.ylabel(\"Stellar Formation History [M/yr]\")\n",
    "plt.xlabel(\"Lookback time [yr]\")\n",
    "plt.xlim(0, 13.8e9)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Custom SFH \n",
    "\n",
    "Besides the built-in stellar formation histories, it's possible to make your own stellar formation history. \n",
    "\n",
    "The identifier `\"custom\"` allows for the input of a value array, `sfh_arr`, which contains the star formation rates associated with each time bin parsed in `time_axis`(that means it should be the same length).\n",
    "In this case, the parameter dictionary is not called and you don't need to provide it. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Custom star formation history values\n",
    "values = np.linspace(0,10,len(time_axis))\n",
    "\n",
    "# Instanciation of our custom SFH object\n",
    "custom = SFH(time_axis, \"custom\", sfh_arr=values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot it to see what it looks like :)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mbri637/Documents/code/hoki/hoki/csp/sfh.py:170: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
      "  sfh_plot = plt.subplot(loc)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x750 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "burst.plot()\n",
    "custom.plot()\n",
    "plt.title(\"Stellar Formation Histories\")\n",
    "plt.ylabel(\"Stellar Formation History [M/yr]\")\n",
    "plt.xlabel(\"Lookback time [yr]\")\n",
    "plt.xlim(0, 13.8e9)\n",
    "plt.ylim(0,10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Event Rate calculations\n",
    "\n",
    "By combining the BPASS populations with the **complex SFH**, it is possible to **generate transient rates** for the new populations.\n",
    "`hoki` provides the subpackage `hoki.csp.eventrate` for this purpose. \n",
    "\n",
    "\n",
    "### Initialisation of `CSPEventRate`\n",
    "When initialising the `CSPEventRate` class, it loads and normalises the BPASS supernova files for all metallicities. Stored in a `pandas.DataFrame`, they are accessible using `CSPEventRate.bpass_rates`. The following event types are available from BPASS: `[Ia, IIP, II, Ib, Ic, LGRB, PISNe, low_mass]`\n",
    "\n",
    "BPASS contains a selection of initial mass functions. To support all of them, the `CSPEventRate` class requires an imf identifier. These can be found in [the class's documentation](https://heloises.github.io/hoki/manual.html#module-hoki.csp.eventrate). \n",
    "\n",
    "**! ! ! ! WARNING ! ! ! !**\n",
    "\n",
    "If you want to run the following cells you will to change the `path_to_files` to your local folder containing the BPASS `supernova` files. If you downloaded them straight off the [google drive](https://drive.google.com/drive/u/1/folders/1GfMSO2ZiIabHSQRh7zTA3I51DPGbmtAB), it'll probably have a name like `bpass_v2.2.1_imf135_300`\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from hoki.csp.eventrate import CSPEventRate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "path_to_files = \"../BPASS_hoki_dev/bpass_v2.2.1_imf135_300\"\n",
    "imf_identifier = \"imf135_300\"\n",
    "ER_CSP = CSPEventRate(path_to_files, imf_identifier, binary=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculating event rates\n",
    "\n",
    "After initialising the class, the event rates for complex stellar populations can be calculated using the following functions: \n",
    "- `CSPEventRate.at_time`\n",
    "- `CSPEventRate.over_time`\n",
    "\n",
    "Both take the same 3 parameters:\n",
    "- Description of the SFH\n",
    "- Descriptoin of the Metallicity Evolution\n",
    "- An array containing the event types to be calculated"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Defining an SFH and metallicity evolution\n",
    "\n",
    "\n",
    "We define a constant metallicity and stellar formation rate. The methods in `CSPEventRate` require the SFH and metallicity evolution to be provided as python callables (i.e something that can be called, i.e something that require brackets to work: `myfunction()`). It is also possible to use a `SFH` object as an input for the SFH evolution -- it was designed to work with these :)\n",
    "\n",
    "Here, we define two python functions describing the SFH and metallicity evolution. These have to be set to 0 if the age is older than the universe. We define the SFR to be constant at 1 and the metallicity to be constant at solar."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def SFR_evolution(t):\n",
    "    if t < HOKI_NOW:\n",
    "        return 1.0\n",
    "    else:\n",
    "        return 0\n",
    "\n",
    "def Z_evolution(t):\n",
    "    return 0.0020"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### `CSPEventRate.at_time` \n",
    "\n",
    "*Input*\n",
    "\n",
    "In addition to the 3 standard input parameters, you need to provide **the time at which** you want the event rates calculated. \n",
    "\n",
    "**You can provide more than one SFH and metallicity histories, as described below**\n",
    "\n",
    "As an optional input, the **sampling rate** of the SFH and metallicity evolution can be given. The default sampling is set to 1000. This makes the calculation accurate and fast. If a negative number is given, the BPASS bins are used.\n",
    "\n",
    "*Output*\n",
    "\n",
    "The output an array, where each element corresponds to an SHF/metallicity history pair. \n",
    "\n",
    "Each complex stellar population contains an array with the type of transient event as an identifier.\n",
    "\n",
    "```\n",
    " output[nr csp][event type]\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Event Rate now: 0.0015103559493986228\n",
      "Event rate at 10 Gyr lookback time: 0.0013245082839476612\n",
      "Event rate 1000 samples: 0.0013273604259601117\n"
     ]
    }
   ],
   "source": [
    "# calculate rate at LB = 0 Gyr\n",
    "er_zero = ER_CSP.at_time(SFR_evolution, Z_evolution, [\"Ia\"], 0)\n",
    "print(\"Event Rate now:\", er_zero[0][\"Ia\"])\n",
    "\n",
    "# calculate rate at LB = 10 Gyr\n",
    "er_ten = ER_CSP.at_time(SFR_evolution, Z_evolution, [\"Ia\"], 10e9)\n",
    "print(\"Event rate at 10 Gyr lookback time:\", er_ten[0][\"Ia\"])\n",
    "\n",
    "# High sampling event rate\n",
    "er_high_sampling = ER_CSP.at_time(SFR_evolution, Z_evolution, [\"Ia\"], 10e9, 2000)\n",
    "\n",
    "print(\"Event rate 1000 samples:\", er_high_sampling[0][\"Ia\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is also possible to input several SFH and metallicity evolutions in a single function call by inputting two lists of equal length. Each SFH will be associated with a metallicity evolution at the same index."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "First history, Ia rates: 0.0015103559493986228\n",
      "Second history, II rates: 0.0035807774002009902\n"
     ]
    }
   ],
   "source": [
    "er = ER_CSP.at_time([SFR_evolution, SFR_evolution], \n",
    "                    [Z_evolution, Z_evolution], \n",
    "                    [\"Ia\", \"II\"], \n",
    "                    0)\n",
    "print(\"First history, Ia rates:\", er[0][\"Ia\"])\n",
    "print(\"Second history, II rates:\", er[1][\"II\"])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Of course, it is also possible to provide a `SFH` object from `hoki` as an input."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ia rates: 0.0015103573172394677\n",
      "II rates: 0.0035807774002009902\n"
     ]
    }
   ],
   "source": [
    "er = ER_CSP.at_time(constant, \n",
    "                    Z_evolution, \n",
    "                    [\"Ia\", \"II\"], \n",
    "                    0)\n",
    "print(\"Ia rates:\", er[0][\"Ia\"])\n",
    "print(\"II rates:\", er[0][\"II\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### `CSPEventRate.over_time` \n",
    "\n",
    "This method splits the lookback time up into a chosen number of bins and calculates the event rate over the whole lookback time at once. Because the event rates over the full history of the universe is calculated, this method is more computationally intensive than `CSPEventRate.at_time`.\n",
    "\n",
    "In addition to the 3 standard input parameters, this method requires you to provide a number of bins that determines the number of bins the complete lookback time is split into.\n",
    "\n",
    "It has an optional argument, `return_time_edges`, that will return the time edges of the binning (in addition to the standard outputs).  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "er_all, edges = ER_CSP.over_time([SFR_evolution], [Z_evolution], [\"Ia\"], 100, return_time_edges=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1050x750 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.step(edges[:-1], er_all[0][\"Ia\"], where=\"pre\")\n",
    "plt.xlabel(\"Lookback Time [yr]\")\n",
    "plt.ylabel(\"Type Ia Event Rate [#events/yr]\")\n",
    "plt.plot(0, er_zero[0][\"Ia\"], \"o\")\n",
    "plt.plot(10e9, er_ten[0][\"Ia\"], \"o\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Grid Calculations: EventRates\n",
    "\n",
    "Sometimes using a Python callable isn't the right way to describe the stellar formation history, such as when working with simulations with stored data points. Therefore, it is also possible to provide a 2D grid (`nr_sfh`x`13`x`N`) as an SFH input. This matrix splits up each SFH into BPASS metallicity bins (`13`) per time point (`N`). The `nr_sfh` is always necesarry even when a single SFH grid is given. \n",
    "\n",
    "The associated functions are: \n",
    "\n",
    "- `CSPEventRate.grid_at_time`\n",
    "- `CSPEventRate.grid_over_time`\n",
    "\n",
    "\n",
    "Instead of taking a SFH and metallicity evolution both are separated to allow for material being created with different metallicities at the same time. Instead they need a `time_points` parameter describing what the lookback times of the 2D SFH are.\n",
    "\n",
    "**Note**\n",
    "\n",
    "Depending on your operating system, a \"`NumbaWarning` about TBB threading\" might appear when using the grid functions. This can be safely ignored.\n",
    "\n",
    "\n",
    "### EventRates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# setup example 2D grid\n",
    "time_points = np.linspace(0,HOKI_NOW, 101)\n",
    "SFH_2D = np.zeros((13,len(time_points)), dtype=np.float64)\n",
    "bpass_Z_index = np.array([np.argmin(np.abs(Z_evolution(i) - BPASS_NUM_METALLICITIES)) for i in time_points])\n",
    "SFH_2D[bpass_Z_index] += np.array([SFR_evolution(i) for i in time_points])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because our `SFH_2D` is only a 13x101 matrix we transform it into a 1x13x101 matrix for it to be used as input of our `*.grid_at_time` and `*.grid_over_time` functions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Transform into (1x13xtime_points)\n",
    "SFH_2D = SFH_2D.reshape((1,13,len(time_points)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\r",
      " |----------------------------------------------------------------------------------------------------| 0.00% \r",
      "\r",
      " |----------------------------------------------------------------------------------------------------| 0.00% \r",
      "\r",
      " |----------------------------------------------------------------------------------------------------| 0.00% \r"
     ]
    }
   ],
   "source": [
    "# Event rate at lookback time t = 0\n",
    "er_at_time_per_metallicity1 = ER_CSP.grid_at_time(SFH_2D, time_points, [\"Ia\"], 0)\n",
    "\n",
    "# Event rate at lookback time t = 10 Gyr\n",
    "er_at_time_per_metallicity2 = ER_CSP.grid_at_time(SFH_2D, time_points, [\"Ia\"], 10e9)\n",
    "\n",
    "# The event rate over lookback time\n",
    "er_over_time_per_metallicity, time_edges = ER_CSP.grid_over_time(SFH_2D, time_points, [\"Ia\"], 100, return_time_edges=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1050x750 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sum select the first SFH and sum over the metallicity bins\n",
    "er_over_time = er_over_time_per_metallicity[0].sum(axis=0)\n",
    "er_at_time1 = er_at_time_per_metallicity1[0].sum(axis=0)\n",
    "er_at_time2 = er_at_time_per_metallicity2[0].sum(axis=0)\n",
    "\n",
    "plt.step(time_edges[:-1], er_over_time[0], label=\"Ia\")\n",
    "plt.plot(0, er_at_time1[0], \"o\", label=\"Ia\", color=\"orange\")\n",
    "plt.plot(10e9, er_at_time2[0], \"o\", label=\"Ia\", color=\"orange\")\n",
    "plt.title(\"Type Ia events\")\n",
    "plt.xlabel(\"Lookback Time [yr]\")\n",
    "plt.ylabel(\"Type Ia Event Rate [#events/yr]\")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}