{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Guide for hera_sim Defaults and Simulator"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook is intended to be a guide for interfacing with the `hera_sim.defaults` module and using the `hera_sim.Simulator` class with the `run_sim` class method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import uvtools\n",
    "\n",
    "import hera_sim\n",
    "from hera_sim import DATA_PATH, Simulator\n",
    "from hera_sim.config import CONFIG_PATH\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll be using the `uvtools.plot.waterfall` function a few times throughout the notebook, but with a standardized way of generating plots. So let's write a wrapper to make these plots nicer:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# let's wrap it so that it'll work on Simulator objects\n",
    "def waterfall(sim, antpairpol):\n",
    "    \"\"\"\n",
    "    For reference, sim is a Simulator object, and antpairpol is a tuple with the\n",
    "    form (ant1, ant2, pol).\n",
    "    \"\"\"\n",
    "    freqs = np.unique(sim.data.freq_array) * 1e-9  # GHz\n",
    "    lsts = np.unique(sim.data.lst_array)  # radians\n",
    "    vis = sim.data.get_data(antpairpol)\n",
    "\n",
    "    # extent format is [left, right, bottom, top], vis shape is (NTIMES,NFREQS)\n",
    "    extent = [freqs.min(), freqs.max(), lsts.max(), lsts.min()]\n",
    "\n",
    "    fig = plt.figure(figsize=(12, 8))\n",
    "    axes = fig.subplots(2, 1, sharex=True)\n",
    "    axes[1].set_xlabel(\"Frequency [GHz]\", fontsize=12)\n",
    "    for ax in axes:\n",
    "        ax.set_ylabel(\"LST [rad]\", fontsize=12)\n",
    "\n",
    "    fig.sca(axes[0])\n",
    "    cax = uvtools.plot.waterfall(vis, mode=\"log\", extent=extent)\n",
    "    fig.colorbar(cax, label=r\"$\\log_{10}(V$/Jy)\")\n",
    "\n",
    "    fig.sca(axes[1])\n",
    "    cax = uvtools.plot.waterfall(vis, mode=\"phs\", extent=extent)\n",
    "    fig.colorbar(cax, label=\"Phase [rad]\")\n",
    "\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# while we're preparing things, let's make a dictionary of default settings for\n",
    "# creating a Simulator object\n",
    "\n",
    "# choose a modest number of frequencies and times to simulate\n",
    "NFREQ = 128\n",
    "NTIMES = 32\n",
    "\n",
    "# choose the channel width so that the bandwidth is 100 MHz\n",
    "channel_width = 1e8 / NFREQ\n",
    "\n",
    "# use just two antennas\n",
    "ants = {0: (20.0, 20.0, 0), 1: (50.0, 50.0, 0)}\n",
    "\n",
    "# use cross- and auto-correlation baselines\n",
    "no_autos = False\n",
    "\n",
    "# actually make the dictionary of initialization parameters\n",
    "init_params = {\n",
    "    \"n_freq\": NFREQ,\n",
    "    \"n_times\": NTIMES,\n",
    "    \"antennas\": ants,\n",
    "    \"channel_width\": channel_width,\n",
    "    \"no_autos\": no_autos,\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# turn off warnings; remove this cell in the future when this isn't a feature\n",
    "hera_sim.defaults._warn = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defaults Basics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's first go over the basics of the `defaults` module. There are three methods that serve as the primary interface between the user and the `defaults` module: `set`, `activate`, and `deactivate`. These do what you'd expect them to do, but the `set` method requires a bit of extra work to interface with if you want to set custom default parameter values. We'll cover this later; for now, we'll see how you can switch between defaults characteristic to different observing seasons. Currently, we support default settings for the H1C observing season and the H2C observing season, and these may be accessed using the strings `'h1c'` and `'h2c'`, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# first, let's note that the defaults are initially deactivated\n",
    "hera_sim.defaults._override_defaults"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# so let's activate the season defaults\n",
    "hera_sim.defaults.activate()\n",
    "hera_sim.defaults._override_defaults"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "H1C Defaults:\n",
      "  Beam Polynomial:\n",
      "    [0.08033913 0.08020828 0.08007931 ... 0.02888961 0.0288856  0.02888128]\n",
      "  Bandpass Polynomial:\n",
      "    [-0.00524501 -0.00463106 -0.00402282 ... -0.00538521 -0.00568868\n",
      " -0.00599484]\n",
      "\n",
      "\n",
      "H2C Defaults:\n",
      "  Beam Polynomial:\n",
      "    [0.10805394 0.10794104 0.10783932 ... 0.03401091 0.03393028 0.03384834]\n",
      "  Bandpass Polynomial:\n",
      "    [10.65096904 10.65504987 10.65915031 ... 22.07424626 22.06666646\n",
      " 22.05905975]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# now that the defaults are activated, let's see what some differences are\n",
    "fqs = np.linspace(0.1, 0.2, 1024)\n",
    "lsts = np.linspace(0, 2 * np.pi, 100)\n",
    "\n",
    "# note that the defaults object is initialized with H1C defaults, but let's\n",
    "# make sure that it's set to H1C defaults in case this cell is rerun later\n",
    "hera_sim.defaults.set(\"h1c\")\n",
    "\n",
    "h1c_beam = hera_sim.defaults(\"omega_p\")(fqs)\n",
    "h1c_bandpass = hera_sim.defaults(\"bp_poly\")(fqs)\n",
    "\n",
    "# now change the defaults to the H2C observing season\n",
    "hera_sim.defaults.set(\"h2c\")\n",
    "\n",
    "h2c_beam = hera_sim.defaults(\"omega_p\")(fqs)\n",
    "h2c_bandpass = hera_sim.defaults(\"bp_poly\")(fqs)\n",
    "\n",
    "# now compare them\n",
    "print(\n",
    "    f\"\"\"\n",
    "H1C Defaults:\n",
    "  Beam Polynomial:\n",
    "    {h1c_beam}\n",
    "  Bandpass Polynomial:\n",
    "    {h1c_bandpass}\n",
    "\"\"\"\n",
    ")\n",
    "print(\n",
    "    f\"\"\"\n",
    "H2C Defaults:\n",
    "  Beam Polynomial:\n",
    "    {h2c_beam}\n",
    "  Bandpass Polynomial:\n",
    "    {h2c_bandpass}\n",
    "\"\"\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "H1C noise identical to H2C noise? False\n",
      "H2C noise identical to its other version? True\n",
      "Either noise identical to other noise? False\n"
     ]
    }
   ],
   "source": [
    "# another thing\n",
    "noise = hera_sim.noise.thermal_noise\n",
    "\n",
    "hera_sim.defaults.set(\"h1c\")\n",
    "rng = np.random.default_rng(0)\n",
    "h1c_noise = noise(lsts, fqs, rng=rng)\n",
    "\n",
    "hera_sim.defaults.set(\"h2c\")\n",
    "rng = np.random.default_rng(0)\n",
    "h2c_noise = noise(lsts, fqs, rng=rng)\n",
    "rng = np.random.default_rng(0)\n",
    "still_h2c_noise = noise(lsts, fqs, rng=rng)\n",
    "\n",
    "# passing in a kwarg\n",
    "other_noise = noise(lsts, fqs, omega_p=np.ones(fqs.size), rng=rng)\n",
    "\n",
    "# check things\n",
    "print(f\"H1C noise identical to H2C noise? {np.all(h1c_noise == h2c_noise)}\")\n",
    "print(\n",
    "    f\"H2C noise identical to its other version? {np.all(h2c_noise == still_h2c_noise)}\"\n",
    ")\n",
    "\n",
    "_identical = np.all(h1c_noise == other_noise) or np.all(h2c_noise == other_noise)\n",
    "print(f\"Either noise identical to other noise? {_identical}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1000 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# check out what the beam and bandpass look like\n",
    "seasons = (\"h1c\", \"h2c\")\n",
    "beams = {\"h1c\": h1c_beam, \"h2c\": h2c_beam}\n",
    "bps = {\"h1c\": h1c_bandpass, \"h2c\": h2c_bandpass}\n",
    "fig = plt.figure(figsize=(12, 10))\n",
    "axes = fig.subplots(2, 2)\n",
    "for j, ax in enumerate(axes[:, 0]):\n",
    "    seas = seasons[j]\n",
    "    ax.set_xlabel(\"Frequency [MHz]\", fontsize=12)\n",
    "    ax.set_ylabel(\"Beam Size [sr]\", fontsize=12)\n",
    "    ax.set_title(f\"HERA {seas.upper()} Beam Model\", fontsize=12)\n",
    "    ax.plot(fqs * 1e3, beams[seas])\n",
    "for j, ax in enumerate(axes[:, 1]):\n",
    "    seas = seasons[j]\n",
    "    ax.set_xlabel(\"Frequency [MHz]\", fontsize=12)\n",
    "    ax.set_ylabel(\"Noiseless Bandpass Gain\", fontsize=12)\n",
    "    ax.set_title(f\"HERA {seas.upper()} Bandpass Model\", fontsize=12)\n",
    "    ax.plot(fqs * 1e3, bps[seas])\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'setup': {'frequency_array': {'Nfreqs': 1638,\n",
       "   'channel_width': 122070.3125,\n",
       "   'start_freq': 46920776.3671875},\n",
       "  'time_array': {'Ntimes': 100,\n",
       "   'integration_time': 8.59,\n",
       "   'start_time': 2458119.5}},\n",
       " 'telescope': {'array_layout': {0: array([-14.6       ,  25.28794179,   0.        ]),\n",
       "   1: array([ 0.        , 25.28794179,  0.        ]),\n",
       "   2: array([14.6       , 25.28794179,  0.        ]),\n",
       "   3: array([-21.9      ,  12.6439709,   0.       ]),\n",
       "   4: array([-7.3      , 12.6439709,  0.       ]),\n",
       "   5: array([ 7.3      , 12.6439709,  0.       ]),\n",
       "   6: array([21.9      , 12.6439709,  0.       ]),\n",
       "   7: array([-29.2,   0. ,   0. ]),\n",
       "   8: array([-14.6,   0. ,   0. ]),\n",
       "   9: array([0., 0., 0.]),\n",
       "   10: array([14.6,  0. ,  0. ]),\n",
       "   11: array([29.2,  0. ,  0. ]),\n",
       "   12: array([-21.9      , -12.6439709,   0.       ]),\n",
       "   13: array([ -7.3      , -12.6439709,   0.       ]),\n",
       "   14: array([  7.3      , -12.6439709,   0.       ]),\n",
       "   15: array([ 21.9      , -12.6439709,   0.       ]),\n",
       "   16: array([-14.6       , -25.28794179,   0.        ]),\n",
       "   17: array([  0.        , -25.28794179,   0.        ]),\n",
       "   18: array([ 14.6       , -25.28794179,   0.        ])},\n",
       "  'bp_poly': <hera_sim.interpolators.Bandpass at 0x7fbbd5548ef0>,\n",
       "  'omega_p': <hera_sim.interpolators.Beam at 0x7fbbd5549400>,\n",
       "  'delay_filter_type': 'tophat',\n",
       "  'fringe_filter_type': 'tophat'},\n",
       " 'sky': {'Tsky_mdl': <hera_sim.interpolators.Tsky at 0x7fbbd550ea50>}}"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# let's look at the configuration that's initially loaded in\n",
    "hera_sim.defaults._raw_config"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Nfreqs': 1638,\n",
       " 'channel_width': 122070.3125,\n",
       " 'start_freq': 46920776.3671875,\n",
       " 'Ntimes': 100,\n",
       " 'integration_time': 8.59,\n",
       " 'start_time': 2458119.5,\n",
       " 'array_layout': {0: array([-14.6       ,  25.28794179,   0.        ]),\n",
       "  1: array([ 0.        , 25.28794179,  0.        ]),\n",
       "  2: array([14.6       , 25.28794179,  0.        ]),\n",
       "  3: array([-21.9      ,  12.6439709,   0.       ]),\n",
       "  4: array([-7.3      , 12.6439709,  0.       ]),\n",
       "  5: array([ 7.3      , 12.6439709,  0.       ]),\n",
       "  6: array([21.9      , 12.6439709,  0.       ]),\n",
       "  7: array([-29.2,   0. ,   0. ]),\n",
       "  8: array([-14.6,   0. ,   0. ]),\n",
       "  9: array([0., 0., 0.]),\n",
       "  10: array([14.6,  0. ,  0. ]),\n",
       "  11: array([29.2,  0. ,  0. ]),\n",
       "  12: array([-21.9      , -12.6439709,   0.       ]),\n",
       "  13: array([ -7.3      , -12.6439709,   0.       ]),\n",
       "  14: array([  7.3      , -12.6439709,   0.       ]),\n",
       "  15: array([ 21.9      , -12.6439709,   0.       ]),\n",
       "  16: array([-14.6       , -25.28794179,   0.        ]),\n",
       "  17: array([  0.        , -25.28794179,   0.        ]),\n",
       "  18: array([ 14.6       , -25.28794179,   0.        ])},\n",
       " 'bp_poly': <hera_sim.interpolators.Bandpass at 0x7fbbd5548ef0>,\n",
       " 'omega_p': <hera_sim.interpolators.Beam at 0x7fbbd5549400>,\n",
       " 'delay_filter_type': 'tophat',\n",
       " 'fringe_filter_type': 'tophat',\n",
       " 'Tsky_mdl': <hera_sim.interpolators.Tsky at 0x7fbbd550ea50>}"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# and what about the set of defaults actually used?\n",
    "hera_sim.defaults._config"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "The default baseline conjugation convention has changed. In the past it was 'ant2<ant1', it now defaults to 'ant1<ant2'. You can specify the baseline conjugation convention in `obs_param` by setting the obs_param['ordering']['conjugation_convention'] field. This warning will go away in version 1.5.\n",
      "The use_grid_alg parameter is not set. Defaulting to True to use the new gridding based algorithm (developed by the HERA team) rather than the older clustering based algorithm. This is change to the default, to use the clustering algorithm set use_grid_alg=False.\n",
      "The default baseline conjugation convention has changed. In the past it was 'ant2<ant1', it now defaults to 'ant1<ant2'. You can specify the baseline conjugation convention in `obs_param` by setting the obs_param['ordering']['conjugation_convention'] field. This warning will go away in version 1.5.\n",
      "The use_grid_alg parameter is not set. Defaulting to True to use the new gridding based algorithm (developed by the HERA team) rather than the older clustering based algorithm. This is change to the default, to use the clustering algorithm set use_grid_alg=False.\n"
     ]
    }
   ],
   "source": [
    "# let's make two simulator objects\n",
    "sim1 = Simulator(**init_params)\n",
    "sim2 = Simulator(**init_params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# parameters for two different simulations\n",
    "hera_sim.defaults.set(\"h1c\")\n",
    "sim1params = {\"pntsrc_foreground\": {}, \"noiselike_eor\": {}, \"diffuse_foreground\": {}}\n",
    "sim1.run_sim(**sim1params)\n",
    "\n",
    "hera_sim.defaults.set(\"h2c\")\n",
    "sim2params = {\"pntsrc_foreground\": {}, \"noiselike_eor\": {}, \"diffuse_foreground\": {}}\n",
    "sim2.run_sim(**sim2params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "antpairpol = (0, 1, \"xx\")\n",
    "waterfall(sim1, antpairpol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "waterfall(sim2, antpairpol)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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