{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# XMM-LSS 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": {},
   "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": {},
   "outputs": [],
   "source": [
    "# Pritine LS catalogue\n",
    "orig_decals = Table.read(\"../../dmu0/dmu0_DECaLS/data/DECaLS_XMM-LSS.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": {},
   "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": {
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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"
     ]
    },
    {
     "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['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: -0.08519500668633384\n",
      "Number of source used: 10752\n",
      "RMS: 0.028076768731770316\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"
     ]
    },
    {
     "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['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: -0.04148028156868122\n",
      "Number of source used: 10646\n",
      "RMS: 0.034286856718686975\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": {},
   "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"
     ]
    },
    {
     "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: -0.047606678474458874\n",
      "Number of source used: 12624\n",
      "RMS: 0.04539733727184199\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'][5], \n",
    "    stellarities['z'],\n",
    "    mag_min=16.0, mag_max=17.5)\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": {},
   "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": {},
   "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": {},
   "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_XMM-LSS.fits\")[list(imported_columns)]\n",
    "for column in imported_columns:\n",
    "    catalogue[column].name = imported_columns[column]\n",
    "    \n",
    "catalogue[\"decals_id\"] = 100000*catalogue[\"brickid\"].astype(np.int64) + catalogue[\"decals_id\"].astype(np.int64)\n",
    "catalogue.remove_columns(\"brickid\")\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=\"table139703013608976-87018\" 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>30315700049</td><td>32.98677912518146</td><td>-4.873244606157085</td><td>1.1126547</td><td>1.6302452</td><td>4.402285</td><td>0.13736</td><td>0.19078042</td><td>0.6276443</td><td>1.008911</td><td>1.2024702</td><td>7.969885</td><td>0.1866067</td><td>0.3028449</td><td>0.9303587</td><td>23.784103</td><td>0.13403685</td><td>False</td><td>23.36937</td><td>0.12705892</td><td>False</td><td>22.290802</td><td>0.15479599</td><td>False</td><td>23.890368</td><td>0.20081617</td><td>23.699814</td><td>0.27344516</td><td>21.64637</td><td>0.12674262</td><td>0.05</td></tr>\n",
       "<tr><td>1</td><td>30315700050</td><td>32.986673704502174</td><td>-4.8741566915429555</td><td>0.47646728</td><td>1.3483607</td><td>2.4182198</td><td>0.101972304</td><td>0.13248701</td><td>0.4549923</td><td>0.44648117</td><td>1.1787356</td><td>7.954665</td><td>0.1863705</td><td>0.30284584</td><td>0.9303551</td><td>24.704918</td><td>0.23236647</td><td>False</td><td>23.575485</td><td>0.10668209</td><td>False</td><td>22.941261</td><td>0.20428316</td><td>False</td><td>24.775492</td><td>0.4532088</td><td>23.721458</td><td>0.27895203</td><td>21.648445</td><td>0.12698463</td><td>0.9</td></tr>\n",
       "<tr><td>2</td><td>30315700104</td><td>33.00707376300352</td><td>-4.874909821261336</td><td>2412.515</td><td>4014.6516</td><td>5498.493</td><td>0.7955589</td><td>4.479312</td><td>8.7956085</td><td>1915.4619</td><td>674.9692</td><td>846.9042</td><td>0.15633336</td><td>0.24486655</td><td>0.7276798</td><td>15.443825</td><td>0.00035803596</td><td>False</td><td>14.890884</td><td>0.0012114005</td><td>False</td><td>14.549393</td><td>0.0017367869</td><td>False</td><td>15.694316</td><td>8.8614026e-05</td><td>16.82679</td><td>0.00039388536</td><td>16.580414</td><td>0.0009328898</td><td>0.05</td></tr>\n",
       "<tr><td>3</td><td>30315700105</td><td>33.00738202678121</td><td>-4.869601503926068</td><td>2.8318918</td><td>5.489771</td><td>9.595141</td><td>0.15527284</td><td>0.21992694</td><td>0.63621324</td><td>2.536567</td><td>4.942963</td><td>10.428856</td><td>0.15633354</td><td>0.24486679</td><td>0.72768265</td><td>22.769814</td><td>0.059530996</td><td>False</td><td>22.05111</td><td>0.04349592</td><td>False</td><td>21.44487</td><td>0.07199057</td><td>False</td><td>22.889383</td><td>0.066916026</td><td>22.165031</td><td>0.053785704</td><td>21.354408</td><td>0.07575821</td><td>0.05</td></tr>\n",
       "<tr><td>4</td><td>30315700106</td><td>33.00959974610323</td><td>-4.8746729162849265</td><td>nan</td><td>1.8170016</td><td>1.330721</td><td>nan</td><td>0.11133834</td><td>0.29926133</td><td>0.37642035</td><td>3.3608248</td><td>9.608847</td><td>0.15633327</td><td>0.25890192</td><td>0.7276758</td><td>nan</td><td>nan</td><td>False</td><td>23.25161</td><td>0.066529416</td><td>False</td><td>23.589783</td><td>0.24416752</td><td>False</td><td>24.960817</td><td>0.45092326</td><td>22.583885</td><td>0.08363994</td><td>21.443321</td><td>0.08222255</td><td>0.9</td></tr>\n",
       "<tr><td>5</td><td>30315700108</td><td>33.00676460905442</td><td>-4.87193961543963</td><td>1.3234144</td><td>7.3005376</td><td>49.860485</td><td>9.089406</td><td>14.775164</td><td>43.18181</td><td>0.31453344</td><td>1.1989857</td><td>7.8792834</td><td>0.15633397</td><td>0.24486783</td><td>0.7276805</td><td>23.595757</td><td>7.4569964</td><td>False</td><td>21.741615</td><td>2.1973627</td><td>False</td><td>19.65561</td><td>0.94030476</td><td>False</td><td>25.155832</td><td>0.53964835</td><td>23.702965</td><td>0.221739</td><td>21.658783</td><td>0.10027169</td><td>0.05</td></tr>\n",
       "<tr><td>6</td><td>30315700109</td><td>33.00890727057713</td><td>-4.8734634463910895</td><td>0.08336583</td><td>1.2301055</td><td>0.12614529</td><td>0.08829089</td><td>0.10910468</td><td>0.29934004</td><td>0.61460644</td><td>2.4462116</td><td>2.9640348</td><td>0.15633339</td><td>0.25315878</td><td>0.72768</td><td>26.597534</td><td>1.149879</td><td>False</td><td>23.675148</td><td>0.096299775</td><td>False</td><td>26.14782</td><td>2.5764282</td><td>False</td><td>24.428507</td><td>0.27617154</td><td>22.928764</td><td>0.11236299</td><td>22.720291</td><td>0.2665517</td><td>0.9</td></tr>\n",
       "<tr><td>7</td><td>30315700133</td><td>32.890826221850695</td><td>-4.873960358833843</td><td>1.0434825</td><td>1.963097</td><td>3.1702828</td><td>0.09033758</td><td>0.11111556</td><td>0.30118123</td><td>1.0589668</td><td>2.1680727</td><td>3.1812396</td><td>0.15657787</td><td>0.24448138</td><td>0.72867936</td><td>23.853783</td><td>0.093995616</td><td>False</td><td>23.167648</td><td>0.06145503</td><td>False</td><td>22.647255</td><td>0.10314643</td><td>False</td><td>23.837793</td><td>0.16053598</td><td>23.059814</td><td>0.122432366</td><td>22.643509</td><td>0.2486935</td><td>0.9</td></tr>\n",
       "<tr><td>8</td><td>30315700134</td><td>32.89180647906431</td><td>-4.870677622669087</td><td>3.4183352</td><td>6.5125895</td><td>9.669696</td><td>0.2499796</td><td>0.35818675</td><td>1.0369856</td><td>2.0325582</td><td>3.451533</td><td>6.5047197</td><td>0.15657783</td><td>0.24448176</td><td>0.7286784</td><td>22.565468</td><td>0.079398856</td><td>False</td><td>21.865616</td><td>0.05971454</td><td>False</td><td>21.43647</td><td>0.116435185</td><td>False</td><td>23.129892</td><td>0.083639525</td><td>22.55497</td><td>0.076905735</td><td>21.866928</td><td>0.12162745</td><td>0.05</td></tr>\n",
       "<tr><td>9</td><td>30315700135</td><td>32.89079222508951</td><td>-4.870185184257597</td><td>0.6962822</td><td>0.74726117</td><td>0.81107783</td><td>0.08933945</td><td>0.10875881</td><td>0.2971454</td><td>0.6429045</td><td>0.68977046</td><td>2.250926</td><td>0.15657784</td><td>0.24448004</td><td>0.7286771</td><td>24.293037</td><td>0.13931</td><td>False</td><td>24.216324</td><td>0.15802155</td><td>False</td><td>24.12735</td><td>0.39776886</td><td>False</td><td>24.379633</td><td>0.26442844</td><td>24.303238</td><td>0.3848249</td><td>23.019096</td><td>0.3514781</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(\"$('#table139703013608976-87018').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",
       "    $('#table139703013608976-87018').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 1828232 sources.\n",
      "The cleaned catalogue has 1827824 sources (408 removed).\n",
      "The cleaned catalogue has 407 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": {},
   "outputs": [],
   "source": [
    "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_XMM-LSS.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)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RA correction: 0.12760236888880172 arcsec\n",
      "Dec correction: -0.08586082651023119 arcsec\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",
      "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": [
    "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": {},
   "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)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## IV - Flagging Gaia objects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "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": [
      "42351 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": {},
   "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
}
