{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Herschel Stripe 82 master catalogue\n",
    "## Preparation of DECam Legacy Survey data\n",
    "\n",
    "This catalogue comes from `dmu0_DECaLS`.\n",
    "\n",
    "In the catalogue, we keep:\n",
    "\n",
    "- The `object_id` as unique object identifier;\n",
    "- The position;\n",
    "- The u, g, r, i, z, Y aperture magnitude (2”);\n",
    "- The u, g, r, i, z, Y kron fluxes and magnitudes.\n",
    "\n",
    "We check for all ugrizY then only take bands for which there are measurements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was run with herschelhelp_internal version: \n",
      "017bb1e (Mon Jun 18 14:58:59 2018 +0100)\n"
     ]
    }
   ],
   "source": [
    "from herschelhelp_internal import git_version\n",
    "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/pyenv/versions/3.7.2/lib/python3.7/site-packages/matplotlib/__init__.py:855: MatplotlibDeprecationWarning: \n",
      "examples.directory is deprecated; in the future, examples will be found relative to the 'datapath' directory.\n",
      "  \"found relative to the 'datapath' directory.\".format(key))\n",
      "/opt/pyenv/versions/3.7.2/lib/python3.7/site-packages/matplotlib/__init__.py:846: MatplotlibDeprecationWarning: \n",
      "The text.latex.unicode rcparam was deprecated in Matplotlib 2.2 and will be removed in 3.1.\n",
      "  \"2.2\", name=key, obj_type=\"rcparam\", addendum=addendum)\n",
      "/opt/pyenv/versions/3.7.2/lib/python3.7/site-packages/seaborn/apionly.py:9: UserWarning: As seaborn no longer sets a default style on import, the seaborn.apionly module is deprecated. It will be removed in a future version.\n",
      "  warnings.warn(msg, UserWarning)\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "#%config InlineBackend.figure_format = 'svg'\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rc('figure', figsize=(10, 6))\n",
    "plt.style.use('ggplot')\n",
    "\n",
    "from collections import OrderedDict\n",
    "import os\n",
    "\n",
    "from astropy import units as u\n",
    "from astropy import visualization as vis\n",
    "from astropy.coordinates import SkyCoord\n",
    "from astropy.table import Column, Table\n",
    "import numpy as np\n",
    "\n",
    "from herschelhelp_internal.flagging import  gaia_flag_column\n",
    "from herschelhelp_internal.masterlist import nb_astcor_diag_plot, nb_plot_mag_ap_evol, \\\n",
    "    nb_plot_mag_vs_apcor, remove_duplicates\n",
    "from herschelhelp_internal.utils import astrometric_correction, mag_to_flux, aperture_correction, flux_to_mag"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "OUT_DIR =  os.environ.get('TMP_DIR', \"./data_tmp\")\n",
    "try:\n",
    "    os.makedirs(OUT_DIR)\n",
    "except FileExistsError:\n",
    "    pass\n",
    "\n",
    "RA_COL = \"decals_ra\"\n",
    "DEC_COL = \"decals_dec\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Pritine LS catalogue\n",
    "orig_decals = Table.read(\"../../dmu0/dmu0_DECaLS/data/DECaLS_Herschel-Stripe-82.fits\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## I - Aperture correction\n",
    "\n",
    "To compute aperture correction we need to dertermine two parametres: the target aperture and the range of magnitudes for the stars that will be used to compute the correction.\n",
    "\n",
    "**Target aperture**: To determine the target aperture, we simulate a curve of growth using the provided apertures and draw two figures:\n",
    "\n",
    "- The evolution of the magnitudes of the objects by plotting on the same plot aperture number vs the mean magnitude.\n",
    "- The mean gain (loss when negative) of magnitude is each aperture compared to the previous (except for the first of course).\n",
    "\n",
    "As target aperture, we should use the smallest (i.e. less noisy) aperture for which most of the flux is captures.\n",
    "\n",
    "**Magnitude range**: To know what limits in aperture to use when doing the aperture correction, we plot for each magnitude bin the correction that is computed and its RMS. We should then use the wide limits (to use more stars) where the correction is stable and with few dispersion."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:77: RuntimeWarning: divide by zero encountered in log10\n",
      "  magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n",
      "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:81: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  errors = 2.5 / np.log(10) * errors_on_fluxes / fluxes\n",
      "/opt/pyenv/versions/3.7.2/lib/python3.7/site-packages/numpy/lib/function_base.py:2167: RuntimeWarning: invalid value encountered in ? (vectorized)\n",
      "  outputs = ufunc(*inputs)\n",
      "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:77: RuntimeWarning: invalid value encountered in log10\n",
      "  magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n"
     ]
    }
   ],
   "source": [
    "bands = [\"u\", \"g\", \"r\", \"i\", \"z\", \"y\"]\n",
    "band_index = {\"u\":0,\"g\":1, \"r\":2, \"i\":3, \"z\":4, \"y\":5}\n",
    "apertures      = [0,      1,   2,   3,    4,   5,   6,   7] \n",
    "aperture_sizes = [0.5, 0.75, 1.0, 1.5,  2.0, 3.5, 5.0, 7.0] #arcsec aperture sizes\n",
    "\n",
    "flux = {}\n",
    "flux_errors ={}\n",
    "magnitudes = {}\n",
    "flux_errors ={}\n",
    "magnitude_errors = {}\n",
    "stellarities = {}\n",
    "\n",
    "flux_to_mag_vect = np.vectorize(flux_to_mag)\n",
    "\n",
    "for band in bands:\n",
    "    flux[band] = np.transpose(np.array(orig_decals[\"decam_apflux\"][:,band_index[band]])) #np.transpose(np.array( orig_decals[\"decam_apflux\"], dtype=np.float )) \n",
    "    flux_errors[band] = np.transpose(np.array(orig_decals[\"decam_apflux_ivar\"][:,band_index[band]])) #np.transpose(np.array( orig_legacy[\"apflux_ivar_{}\".format(band)], dtype=np.float  ))\n",
    "    \n",
    "    magnitudes[band], magnitude_errors[band] = flux_to_mag_vect(flux[band] * 3.631e-6 ,flux_errors[band] * 3.631e-6)\n",
    "    \n",
    "    stellarities[band] = np.full(len(orig_decals),0., dtype='float32')\n",
    "    stellarities[band][orig_decals[\"type\"] == \"PSF \" ] = 1.\n",
    "    stellarities[band][orig_decals[\"type\"] == \"PSF\" ] = 1.\n",
    "    \n",
    "    # Some sources have an infinite magnitude\n",
    "    mask = np.isinf(magnitudes[band])\n",
    "    magnitudes[band][mask] = np.nan\n",
    "    magnitude_errors[band][mask] = np.nan\n",
    "    \n",
    "\n",
    "    \n",
    "    \n",
    "mag_corr = {}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.a u band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#nb_plot_mag_ap_evol(magnitudes['u'], stellarities['u'], labels=apertures)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "u band is all nan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#nb_plot_mag_vs_apcor(magnitudes['u'][4], \n",
    "#                     magnitudes['u'][5], \n",
    "#                     stellarities['u'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Aperture correction\n",
    "#mag_corr['u'] = np.nan\n",
    "#mag_corr['u'], num, std = aperture_correction(\n",
    "#    magnitudes['u'][4], magnitudes['u'][5], \n",
    "#    stellarities['u'],\n",
    "#    mag_min=16.0, mag_max=19.0)\n",
    "#print(\"Aperture correction for g band:\")\n",
    "#print(\"Correction: {}\".format(mag_corr['g']))\n",
    "#print(\"Number of source used: {}\".format(num))\n",
    "#print(\"RMS: {}\".format(std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### I.a - g band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_plot_mag_ap_evol(magnitudes['g'], stellarities['g'], labels=apertures)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use aperture 5 as target."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_plot_mag_vs_apcor(magnitudes['g'][4], \n",
    "                     magnitudes['g'][5], \n",
    "                     stellarities['g'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use magnitudes between 16.0 and 19.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for g band:\n",
      "Correction: -0.0911514235846056\n",
      "Number of source used: 151015\n",
      "RMS: 0.02364389650630337\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n"
     ]
    }
   ],
   "source": [
    "# Aperture correction\n",
    "\n",
    "mag_corr['g'], num, std = aperture_correction(\n",
    "    magnitudes['g'][4], magnitudes['g'][5], \n",
    "    stellarities['g'],\n",
    "    mag_min=16.0, mag_max=19.0)\n",
    "print(\"Aperture correction for g band:\")\n",
    "print(\"Correction: {}\".format(mag_corr['g']))\n",
    "print(\"Number of source used: {}\".format(num)) \n",
    "print(\"RMS: {}\".format(std))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### I.b - r band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_plot_mag_ap_evol(magnitudes['r'], stellarities['r'], labels=apertures)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use aperture 5 as target."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_plot_mag_vs_apcor(magnitudes['r'][4], \n",
    "                     magnitudes['r'][5], \n",
    "                     stellarities['r'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use magnitudes between 16.0 and 18.0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for r band:\n",
      "Correction: -0.0465021447682048\n",
      "Number of source used: 149159\n",
      "RMS: 0.01397760017319829\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n"
     ]
    }
   ],
   "source": [
    "# Aperture correction\n",
    "mag_corr['r'], num, std = aperture_correction(\n",
    "    magnitudes['r'][4], magnitudes['r'][5], \n",
    "    stellarities['r'],\n",
    "    mag_min=16.0, mag_max=18.0)\n",
    "print(\"Aperture correction for r band:\")\n",
    "print(\"Correction: {}\".format(mag_corr['r']))\n",
    "print(\"Number of source used: {}\".format(num))\n",
    "print(\"RMS: {}\".format(std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### I.d - i band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "#nb_plot_mag_ap_evol(magnitudes['i'], stellarities['i'], labels=apertures)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "#nb_plot_mag_vs_apcor(magnitudes['i'][4], \n",
    "#                     magnitudes['i'][4], \n",
    "#                     stellarities['i'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Aperture correction\n",
    "#mag_corr['i'] = np.nan\n",
    "#mag_corr['i'], num, std = aperture_correction(\n",
    "#    magnitudes['i'][4], magnitudes['i'][5], \n",
    "#    stellarities['i'],\n",
    "#    mag_min=16.0, mag_max=17.5)\n",
    "#print(\"Aperture correction for i band:\")\n",
    "#print(\"Correction: {}\".format(mag_corr['i']))\n",
    "#print(\"Number of source used: {}\".format(num))\n",
    "#print(\"RMS: {}\".format(std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### I.e - z band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_plot_mag_ap_evol(magnitudes['z'], stellarities['z'], labels=apertures)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use aperture 4 as target."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_plot_mag_vs_apcor(magnitudes['z'][4], \n",
    "                     magnitudes['z'][4], \n",
    "                     stellarities['z'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use magnitudes between 16.0 and 17.5."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Aperture correction for z band:\n",
      "Correction: 0.0\n",
      "Number of source used: 176285\n",
      "RMS: 0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n"
     ]
    }
   ],
   "source": [
    "# Aperture correction\n",
    "mag_corr['z'] = np.nan\n",
    "mag_corr['z'], num, std = aperture_correction(\n",
    "    magnitudes['z'][4], magnitudes['z'][4], \n",
    "    stellarities['z'],\n",
    "    mag_min=15.0, mag_max=17.0)\n",
    "print(\"Aperture correction for z band:\")\n",
    "print(\"Correction: {}\".format(mag_corr['z']))\n",
    "print(\"Number of source used: {}\".format(num))\n",
    "print(\"RMS: {}\".format(std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### I.f - Y band"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "#nb_plot_mag_ap_evol(magnitudes['y'], stellarities['y'], labels=apertures)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "#nb_plot_mag_vs_apcor(magnitudes['y'][4], \n",
    "#                     magnitudes['y'][4], \n",
    "#                     stellarities['y'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Aperture correction\n",
    "#mag_corr['y'] = np.nan\n",
    "#mag_corr['y'], num, std = aperture_correction(\n",
    "#    magnitudes['y'][4], magnitudes['y'][5], \n",
    "#    stellarities['y'],\n",
    "#    mag_min=16.0, mag_max=17.5)\n",
    "#print(\"Aperture correction for y band:\")\n",
    "#print(\"Correction: {}\".format(mag_corr['y']))\n",
    "#print(\"Number of source used: {}\".format(num))\n",
    "#print(\"RMS: {}\".format(std))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## II - Stellarity\n",
    "\n",
    "Legacy Survey does not provide a 0 to 1 stellarity so we replace items flagged as PSF accpording to the following table:\n",
    "\n",
    "\\begin{equation*}\n",
    "P(star) = \\frac{ \\prod_{i} P(star)_i }{ \\prod_{i} P(star)_i + \\prod_{i} P(galaxy)_i }\n",
    "\\end{equation*}\n",
    "\n",
    "where $i$ is the band, and with using the same probabilities as UKDISS:\n",
    "\n",
    "| HSC flag | UKIDSS flag | Meaning         | P(star) | P(galaxy) | P(noise) | P(saturated) |\n",
    "|:--------:|:-----------:|:----------------|--------:|----------:|---------:|-------------:|\n",
    "|          |      -9     | Saturated       |     0.0 |       0.0 |      5.0 |         95.0 |\n",
    "|          |      -3     | Probable galaxy |    25.0 |      70.0 |      5.0 |          0.0 |\n",
    "|          |      -2     | Probable star   |    70.0 |      25.0 |      5.0 |          0.0 |\n",
    "|     0    |      -1     | Star            |    90.0 |       5.0 |      5.0 |          0.0 |\n",
    "|          |      0      | Noise           |     5.0 |       5.0 |     90.0 |          0.0 |\n",
    "|     1    |      +1     | Galaxy          |     5.0 |      90.0 |      5.0 |          0.0 |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "stellarities['g'][np.isclose(stellarities['g'], 1.)] = 0.9\n",
    "stellarities['g'][np.isclose(stellarities['g'], 0.)] = 0.05"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## II - Column selection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "imported_columns = OrderedDict({\n",
    "        \"objid\": \"decals_id\",\n",
    "        \"brickid\": \"brickid\",\n",
    "        \"ra\": \"decals_ra\",\n",
    "        \"dec\": \"decals_dec\",\n",
    "        \"decam_flux\": \"decam_flux_TEMP\",\n",
    "        \"decam_flux_ivar\": \"decam_flux_ivar_TEMP\",\n",
    "        \"decam_apflux\": \"decam_apflux_TEMP\",\n",
    "        \"decam_apflux_ivar\": \"decam_apflux_ivar_TEMP\",\n",
    "       \n",
    "    })\n",
    "\n",
    "\n",
    "catalogue = Table.read(\"../../dmu0/dmu0_DECaLS/data/DECaLS_Herschel-Stripe-82.fits\")[list(imported_columns)]\n",
    "\n",
    "for column in imported_columns:\n",
    "    catalogue[column].name = imported_columns[column]\n",
    "\n",
    "\n",
    "catalogue[\"decals_id\"] = 100000*catalogue[\"brickid\"].astype(np.int64) + catalogue[\"decals_id\"].astype(np.int64)\n",
    "catalogue.remove_columns(\"brickid\")\n",
    "    \n",
    "    \n",
    "epoch = 2017\n",
    "\n",
    "#catalogue.add_column(Column(catalogue[\"decam_flux_TEMP\"][:,0], name=\"f_decam_u\"))\n",
    "catalogue.add_column(Column(catalogue[\"decam_flux_TEMP\"][:,1], name=\"f_decam_g\"))\n",
    "catalogue.add_column(Column(catalogue[\"decam_flux_TEMP\"][:,2], name=\"f_decam_r\"))\n",
    "#catalogue.add_column(Column(catalogue[\"decam_flux_TEMP\"][:,3], name=\"f_decam_i\"))\n",
    "catalogue.add_column(Column(catalogue[\"decam_flux_TEMP\"][:,4], name=\"f_decam_z\"))\n",
    "#catalogue.add_column(Column(catalogue[\"decam_flux_TEMP\"][:,5], name=\"f_decam_y\"))\n",
    "\n",
    "#catalogue.add_column(Column(catalogue[\"decam_flux_ivar_TEMP\"][:,0], name=\"ferr_decam_u\"))\n",
    "catalogue.add_column(Column(catalogue[\"decam_flux_ivar_TEMP\"][:,1], name=\"ferr_decam_g\"))\n",
    "catalogue.add_column(Column(catalogue[\"decam_flux_ivar_TEMP\"][:,2], name=\"ferr_decam_r\"))\n",
    "#catalogue.add_column(Column(catalogue[\"decam_flux_ivar_TEMP\"][:,3], name=\"ferr_decam_i\"))\n",
    "catalogue.add_column(Column(catalogue[\"decam_flux_ivar_TEMP\"][:,4], name=\"ferr_decam_z\"))\n",
    "#catalogue.add_column(Column(catalogue[\"decam_flux_ivar_TEMP\"][:,5], name=\"ferr_decam_y\"))\n",
    "\n",
    "#For the aperture fluxes, there are 8 (0-7), we take 4 (2.0\")\n",
    "#DECam aperture fluxes on the co-added images in apertures of radius [0.5,0.75,1.0,1.5,2.0,3.5,5.0,7.0] arcsec in ugrizY\n",
    "#catalogue.add_column(Column(catalogue[\"decam_apflux_TEMP\"][:,0], name=\"f_ap_decam_u\")[:,4])\n",
    "catalogue.add_column(Column(catalogue[\"decam_apflux_TEMP\"][:,1], name=\"f_ap_decam_g\")[:,4])\n",
    "catalogue.add_column(Column(catalogue[\"decam_apflux_TEMP\"][:,2], name=\"f_ap_decam_r\")[:,4])\n",
    "#catalogue.add_column(Column(catalogue[\"decam_apflux_TEMP\"][:,3], name=\"f_ap_decam_i\")[:,4])\n",
    "catalogue.add_column(Column(catalogue[\"decam_apflux_TEMP\"][:,4], name=\"f_ap_decam_z\")[:,4])\n",
    "#catalogue.add_column(Column(catalogue[\"decam_apflux_TEMP\"][:,5], name=\"f_ap_decam_y\")[:,4])\n",
    "\n",
    "#catalogue.add_column(Column(catalogue[\"decam_apflux_ivar_TEMP\"][:,0], name=\"ferr_ap_decam_u\")[:,4])\n",
    "catalogue.add_column(Column(catalogue[\"decam_apflux_ivar_TEMP\"][:,1], name=\"ferr_ap_decam_g\")[:,4])\n",
    "catalogue.add_column(Column(catalogue[\"decam_apflux_ivar_TEMP\"][:,2], name=\"ferr_ap_decam_r\")[:,4])\n",
    "#catalogue.add_column(Column(catalogue[\"decam_apflux_ivar_TEMP\"][:,3], name=\"ferr_ap_decam_i\")[:,4])\n",
    "catalogue.add_column(Column(catalogue[\"decam_apflux_ivar_TEMP\"][:,4], name=\"ferr_ap_decam_z\")[:,4])\n",
    "#catalogue.add_column(Column(catalogue[\"decam_apflux_ivar_TEMP\"][:,5], name=\"ferr_ap_decam_y\")[:,4])\n",
    "\n",
    "catalogue.remove_columns([\"decam_flux_TEMP\", \n",
    "                          \"decam_flux_ivar_TEMP\", \n",
    "                          \"decam_apflux_TEMP\", \n",
    "                          \"decam_apflux_ivar_TEMP\"])\n",
    "\n",
    "# Clean table metadata\n",
    "catalogue.meta = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "flux_to_mag_vect = np.vectorize(flux_to_mag)\n",
    "\n",
    "\n",
    "# Adding magnitude and band-flag columns\n",
    "for col in catalogue.colnames:\n",
    "    catalogue[col].unit = None\n",
    "    if col.startswith('f_'):\n",
    "        \n",
    "        errcol = \"ferr{}\".format(col[1:])\n",
    "        #Replace 0 flux with NaN and \n",
    "        mask = (catalogue[col] <= 0.0) | (catalogue[errcol] <= 0.0)\n",
    "        catalogue[col][mask] = np.nan\n",
    "        \n",
    "        #Replace 1/sigma^2 with sigma \n",
    "\n",
    "        catalogue[errcol][mask] = np.nan\n",
    "        catalogue[errcol] = np.sqrt(1/np.array(catalogue[errcol]))\n",
    "        #catalogue[errcol][catalogue[errcol] == None] = np.nan\n",
    "        \n",
    "        #Replace nanomaggies with uJy\n",
    "        #a nanomaggy is approximately 3.631×10-6 Jy - http://www.sdss3.org/dr8/algorithms/magnitudes.php#nmgy\n",
    "        catalogue[col] = catalogue[col]  * 3.631        \n",
    "        catalogue[errcol] = catalogue[errcol]  * 3.631\n",
    "        \n",
    "        #Compute magnitudes and errors in magnitudes. This function expects Jy so must multiply uJy by 1.e-6\n",
    "        mag, error = flux_to_mag(np.array(catalogue[col])* 1.e-6, np.array(catalogue[errcol])* 1.e-6)\n",
    "        \n",
    "        if 'ap' in col:\n",
    "            mag += mag_corr[col[-1]]\n",
    "            catalogue[col],catalogue[errcol] = mag_to_flux(mag,error) \n",
    "            catalogue[col] *= 1.e6\n",
    "            catalogue[errcol] *= 1.e6\n",
    "        \n",
    "        catalogue.add_column(Column(mag, name=\"m{}\".format(col[1:])))\n",
    "        catalogue.add_column(Column(error, name=\"m{}\".format(errcol[1:])))\n",
    "        \n",
    "        # Band-flag column\n",
    "        if 'ap' not in col:\n",
    "            catalogue.add_column(Column(np.zeros(len(catalogue), dtype=bool), name=\"flag{}\".format(col[1:])))\n",
    "        \n",
    "#remove units from table\n",
    "for col in catalogue.colnames:\n",
    "    catalogue[col].unit = None\n",
    "    \n",
    "catalogue.add_column(Column(data=stellarities['g'], name=\"decals_stellarity\")) #Stelarites computed earlier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>Table masked=True length=10</i>\n",
       "<table id=\"table140370502183848-688591\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>decals_id</th><th>decals_ra</th><th>decals_dec</th><th>f_decam_g</th><th>f_decam_r</th><th>f_decam_z</th><th>ferr_decam_g</th><th>ferr_decam_r</th><th>ferr_decam_z</th><th>f_ap_decam_g</th><th>f_ap_decam_r</th><th>f_ap_decam_z</th><th>ferr_ap_decam_g</th><th>ferr_ap_decam_r</th><th>ferr_ap_decam_z</th><th>m_decam_g</th><th>merr_decam_g</th><th>flag_decam_g</th><th>m_decam_r</th><th>merr_decam_r</th><th>flag_decam_r</th><th>m_decam_z</th><th>merr_decam_z</th><th>flag_decam_z</th><th>m_ap_decam_g</th><th>merr_ap_decam_g</th><th>m_ap_decam_r</th><th>merr_ap_decam_r</th><th>m_ap_decam_z</th><th>merr_ap_decam_z</th><th>decals_stellarity</th></tr></thead>\n",
       "<tr><td>0</td><td>32748800131</td><td>0.21692904580877398</td><td>-0.6229831551049154</td><td>4.6585712</td><td>23.159859</td><td>56.57239</td><td>0.12236823</td><td>0.1611955</td><td>0.5555</td><td>4.7277656</td><td>23.546703</td><td>54.46797</td><td>0.14891584</td><td>0.20696105</td><td>0.7892116</td><td>22.22937</td><td>0.028519392</td><td>False</td><td>20.48816</td><td>0.007556859</td><td>False</td><td>19.518486</td><td>0.010661144</td><td>False</td><td>22.21336</td><td>0.03419868</td><td>20.470175</td><td>0.009542953</td><td>19.559647</td><td>0.015731733</td><td>0.05</td></tr>\n",
       "<tr><td>1</td><td>32748800132</td><td>0.2162441924978786</td><td>-0.6211937518005389</td><td>0.89533216</td><td>1.000702</td><td>1.8889439</td><td>0.09679692</td><td>0.1055428</td><td>0.36226633</td><td>0.823116</td><td>1.2856104</td><td>2.3502355</td><td>0.1489167</td><td>0.20696184</td><td>0.7892114</td><td>24.020042</td><td>0.11738205</td><td>False</td><td>23.899239</td><td>0.114511244</td><td>False</td><td>23.209457</td><td>0.20822516</td><td>False</td><td>24.111347</td><td>0.1964295</td><td>23.627226</td><td>0.17478544</td><td>22.972221</td><td>0.36459127</td><td>0.9</td></tr>\n",
       "<tr><td>2</td><td>32748800133</td><td>0.218541260989589</td><td>-0.6225684117685186</td><td>0.9398883</td><td>2.31894</td><td>2.8845716</td><td>0.11770729</td><td>0.14280324</td><td>0.51723313</td><td>1.0490998</td><td>2.2166028</td><td>2.9205563</td><td>0.1489165</td><td>0.20696121</td><td>0.7892169</td><td>23.967308</td><td>0.1359726</td><td>False</td><td>22.986778</td><td>0.066860996</td><td>False</td><td>22.749802</td><td>0.19468357</td><td>False</td><td>23.847958</td><td>0.15411693</td><td>23.03578</td><td>0.101373725</td><td>22.736336</td><td>0.29339662</td><td>0.05</td></tr>\n",
       "<tr><td>3</td><td>32748800134</td><td>0.21583483637264397</td><td>-0.623966823324642</td><td>0.52952707</td><td>2.5450437</td><td>5.2148023</td><td>0.10401932</td><td>0.12058845</td><td>0.42649803</td><td>0.72232354</td><td>2.3948336</td><td>5.440713</td><td>0.14891614</td><td>0.2069614</td><td>0.7892149</td><td>24.590279</td><td>0.21327999</td><td>False</td><td>22.885765</td><td>0.051444005</td><td>False</td><td>22.10691</td><td>0.08879806</td><td>False</td><td>24.25317</td><td>0.22383827</td><td>22.95181</td><td>0.09382927</td><td>22.06086</td><td>0.15749393</td><td>0.05</td></tr>\n",
       "<tr><td>4</td><td>32748800144</td><td>0.18087750528606464</td><td>-0.6248990782718645</td><td>0.43075007</td><td>1.0571798</td><td>3.184273</td><td>0.11676941</td><td>0.14075601</td><td>0.51639986</td><td>0.42515162</td><td>1.1920146</td><td>3.0973084</td><td>0.1489161</td><td>0.20696045</td><td>0.78921664</td><td>24.814438</td><td>0.2943256</td><td>False</td><td>23.83963</td><td>0.1445581</td><td>False</td><td>22.642479</td><td>0.17607598</td><td>False</td><td>24.82864</td><td>0.38029635</td><td>23.709295</td><td>0.18850815</td><td>22.672539</td><td>0.27665347</td><td>0.05</td></tr>\n",
       "<tr><td>5</td><td>32748800147</td><td>0.13214357131406787</td><td>-0.6248721080887939</td><td>0.6781504</td><td>1.3371557</td><td>1.7328416</td><td>0.09622732</td><td>0.10567154</td><td>0.3607691</td><td>1.1100608</td><td>1.7502004</td><td>2.4757147</td><td>0.14886545</td><td>0.20693813</td><td>0.78921497</td><td>24.321686</td><td>0.1540624</td><td>False</td><td>23.584541</td><td>0.085802585</td><td>False</td><td>23.303108</td><td>0.22604492</td><td>False</td><td>23.786633</td><td>0.14560337</td><td>23.29228</td><td>0.128374</td><td>22.915749</td><td>0.34611392</td><td>0.9</td></tr>\n",
       "<tr><td>6</td><td>32748800148</td><td>0.13028237305548526</td><td>-0.6247404820534534</td><td>0.116433494</td><td>0.78802884</td><td>0.4424469</td><td>0.09564098</td><td>0.10468186</td><td>0.35951203</td><td>0.045114186</td><td>0.2516428</td><td>1.0081902</td><td>0.14886576</td><td>0.20693864</td><td>0.7892156</td><td>26.23481</td><td>0.8918471</td><td>False</td><td>24.158646</td><td>0.14422934</td><td>False</td><td>24.785347</td><td>0.8822193</td><td>False</td><td>27.264217</td><td>3.5826635</td><td>25.398039</td><td>0.89285594</td><td>23.891144</td><td>0.849919</td><td>0.9</td></tr>\n",
       "<tr><td>7</td><td>32748800149</td><td>0.13137772403704112</td><td>-0.6247228042278246</td><td>0.3223754</td><td>0.6866188</td><td>1.6924131</td><td>0.09574709</td><td>0.10428453</td><td>0.361327</td><td>0.72179073</td><td>0.9908434</td><td>2.5948775</td><td>0.14886606</td><td>0.20693849</td><td>0.78921324</td><td>25.129097</td><td>0.322469</td><td>False</td><td>24.308212</td><td>0.16490299</td><td>False</td><td>23.328735</td><td>0.23180261</td><td>False</td><td>24.253971</td><td>0.22392815</td><td>23.909986</td><td>0.22675693</td><td>22.864708</td><td>0.33021882</td><td>0.9</td></tr>\n",
       "<tr><td>8</td><td>32748800152</td><td>0.23560299492352232</td><td>-0.6243842490450484</td><td>0.63050866</td><td>1.4359214</td><td>1.6518567</td><td>0.11734774</td><td>0.14188945</td><td>0.51859486</td><td>0.7721675</td><td>1.7422972</td><td>1.8474917</td><td>0.14891638</td><td>0.20696092</td><td>0.7892114</td><td>24.40078</td><td>0.20207284</td><td>False</td><td>23.507172</td><td>0.10728618</td><td>False</td><td>23.355072</td><td>0.34086323</td><td>False</td><td>24.180721</td><td>0.2093897</td><td>23.297194</td><td>0.12897052</td><td>23.233543</td><td>0.46380472</td><td>0.05</td></tr>\n",
       "<tr><td>9</td><td>32748800153</td><td>0.23623992325454668</td><td>-0.6238748009919968</td><td>0.10679336</td><td>0.8640209</td><td>1.3512189</td><td>0.095553346</td><td>0.10523286</td><td>0.3631537</td><td>0.50083935</td><td>1.1956638</td><td>1.7958816</td><td>0.1489162</td><td>0.20696051</td><td>0.78921527</td><td>26.328636</td><td>0.97146237</td><td>False</td><td>24.058693</td><td>0.13223653</td><td>False</td><td>23.573189</td><td>0.29180256</td><td>False</td><td>24.650753</td><td>0.3228255</td><td>23.705976</td><td>0.18793285</td><td>23.264305</td><td>0.4771359</td><td>0.9</td></tr>\n",
       "</table><style>table.dataTable {clear: both; width: auto !important; margin: 0 !important;}\n",
       ".dataTables_info, .dataTables_length, .dataTables_filter, .dataTables_paginate{\n",
       "display: inline-block; margin-right: 1em; }\n",
       ".paginate_button { margin-right: 5px; }\n",
       "</style>\n",
       "<script>\n",
       "\n",
       "var astropy_sort_num = function(a, b) {\n",
       "    var a_num = parseFloat(a);\n",
       "    var b_num = parseFloat(b);\n",
       "\n",
       "    if (isNaN(a_num) && isNaN(b_num))\n",
       "        return ((a < b) ? -1 : ((a > b) ? 1 : 0));\n",
       "    else if (!isNaN(a_num) && !isNaN(b_num))\n",
       "        return ((a_num < b_num) ? -1 : ((a_num > b_num) ? 1 : 0));\n",
       "    else\n",
       "        return isNaN(a_num) ? -1 : 1;\n",
       "}\n",
       "\n",
       "require.config({paths: {\n",
       "    datatables: 'https://cdn.datatables.net/1.10.12/js/jquery.dataTables.min'\n",
       "}});\n",
       "require([\"datatables\"], function(){\n",
       "    console.log(\"$('#table140370502183848-688591').dataTable()\");\n",
       "    \n",
       "jQuery.extend( jQuery.fn.dataTableExt.oSort, {\n",
       "    \"optionalnum-asc\": astropy_sort_num,\n",
       "    \"optionalnum-desc\": function (a,b) { return -astropy_sort_num(a, b); }\n",
       "});\n",
       "\n",
       "    $('#table140370502183848-688591').dataTable({\n",
       "        order: [],\n",
       "        pageLength: 50,\n",
       "        lengthMenu: [[10, 25, 50, 100, 500, 1000, -1], [10, 25, 50, 100, 500, 1000, 'All']],\n",
       "        pagingType: \"full_numbers\",\n",
       "        columnDefs: [{targets: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 22, 23, 25, 26, 27, 28, 29, 30, 31], type: \"optionalnum\"}]\n",
       "    });\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "catalogue[:10].show_in_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## III - Removal of duplicated sources"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We remove duplicated objects from the input catalogues."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The initial catalogue had 24089956 sources.\n",
      "The cleaned catalogue has 24084781 sources (5175 removed).\n",
      "The cleaned catalogue has 5169 sources flagged as having been cleaned\n"
     ]
    }
   ],
   "source": [
    "SORT_COLS = [#'merr_ap_decam_u',\n",
    "             'merr_ap_decam_g',\n",
    "             'merr_ap_decam_r',\n",
    "             #'merr_ap_decam_i',\n",
    "             'merr_ap_decam_z',\n",
    "             #'merr_ap_decam_y'\n",
    "]\n",
    "FLAG_NAME = 'decals_flag_cleaned'\n",
    "\n",
    "nb_orig_sources = len(catalogue)\n",
    "\n",
    "catalogue = remove_duplicates(\n",
    "    catalogue, RA_COL, DEC_COL, \n",
    "    sort_col= SORT_COLS,\n",
    "    flag_name=FLAG_NAME)\n",
    "\n",
    "nb_sources = len(catalogue)\n",
    "\n",
    "print(\"The initial catalogue had {} sources.\".format(nb_orig_sources))\n",
    "print(\"The cleaned catalogue has {} sources ({} removed).\".format(nb_sources, nb_orig_sources - nb_sources))\n",
    "print(\"The cleaned catalogue has {} sources flagged as having been cleaned\".format(np.sum(catalogue[FLAG_NAME])))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## III - Astrometry correction\n",
    "\n",
    "We match the astrometry to the Gaia one. We limit the Gaia catalogue to sources with a g band flux between the 30th and the 70th percentile. Some quick tests show that this give the lower dispersion in the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_Herschel-Stripe-82.fits\")\n",
    "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n",
    "                    gaia_coords.ra, gaia_coords.dec, near_ra0=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n",
      "WARNING: AstropyDeprecationWarning: \"iters\" was deprecated in version 3.1 and will be removed in a future version. Use argument \"maxiters\" instead. [herschelhelp_internal.utils]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RA correction: 0.1054990148809054 arcsec\n",
      "Dec correction: -0.09075454524867244 arcsec\n"
     ]
    }
   ],
   "source": [
    "delta_ra, delta_dec =  astrometric_correction(\n",
    "    SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]),\n",
    "    gaia_coords\n",
    ")\n",
    "\n",
    "print(\"RA correction: {}\".format(delta_ra))\n",
    "print(\"Dec correction: {}\".format(delta_dec))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue[RA_COL] = catalogue[RA_COL] +  delta_ra.to(u.deg)\n",
    "catalogue[DEC_COL] = catalogue[DEC_COL] +  delta_dec.to(u.deg)\n",
    "catalogue[RA_COL].unit = u.deg\n",
    "catalogue[DEC_COL].unit = u.deg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_astcor_diag_plot(catalogue[RA_COL], catalogue[DEC_COL], \n",
    "                    gaia_coords.ra, gaia_coords.dec, near_ra0=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## IV - Flagging Gaia objects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue.add_column(\n",
    "    gaia_flag_column(SkyCoord(catalogue[RA_COL], catalogue[DEC_COL]), epoch, gaia)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "717665 sources flagged.\n"
     ]
    }
   ],
   "source": [
    "GAIA_FLAG_NAME = \"decals_flag_gaia\"\n",
    "\n",
    "catalogue['flag_gaia'].name = GAIA_FLAG_NAME\n",
    "print(\"{} sources flagged.\".format(np.sum(catalogue[GAIA_FLAG_NAME] > 0)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# V - Saving to disk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue.write(\"{}/DECaLS.fits\".format(OUT_DIR), overwrite=True)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python (herschelhelp_internal)",
   "language": "python",
   "name": "helpint"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}