{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# XMM-LSS master catalogue\n",
    "## Preparation of HST CANDELS-UDS data\n",
    "\n",
    "The UDS survey appears to be a cross match between CANDELS-3D-HST with various other multiwavelength catalogues that we are already including across XMM-LSS. We use this catalogue since these forced photometries are for onjects at much greater depths than the blod catalogues. \n",
    "\n",
    "CANDELS-UDS catalogue: the catalogue comes from `dmu0_CANDELS-UDS`.\n",
    "\n",
    "In the catalogue, we keep:\n",
    "\n",
    "- The identifier (it's unique in the catalogue);\n",
    "- The position;\n",
    "- The stellarity;\n",
    "- The total magnitude.\n",
    "\n",
    "We don't know when the maps have been observed. We will use the year of the reference paper."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was run with herschelhelp_internal version: \n",
      "0246c5d (Thu Jan 25 17:01:47 2018 +0000)\n"
     ]
    }
   ],
   "source": [
    "from herschelhelp_internal import git_version\n",
    "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))\n",
    "import datetime\n",
    "print(\"This notebook was executed on: \\n{}\".format(datetime.datetime.now()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/rs548/anaconda/envs/herschelhelp_internal/lib/python3.6/site-packages/seaborn/apionly.py:6: 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",
    "\n",
    "from collections import OrderedDict\n",
    "import os\n",
    "\n",
    "from astropy import units as u\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, remove_duplicates\n",
    "from herschelhelp_internal.utils import astrometric_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 = \"candels_ra\"\n",
    "DEC_COL = \"candels_dec\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## I - Column selection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "imported_columns = OrderedDict({\n",
    "        'ID': \"candels_id\",\n",
    "        'RA': \"candels_ra\",\n",
    "        'Dec': \"candels_dec\",\n",
    "        'CLASS_STAR':  \"candels_stellarity\",\n",
    "    #HST data\n",
    " \n",
    "        'Flux_F606W_hst': \"f_acs_f606w\", \n",
    "        'Fluxerr_F606W_hst': \"ferr_acs_f606w\", \n",
    "        'flux_aper10_f606w': \"f_ap_acs_f606w\", \n",
    "        'fluxerr_aper10_f606w': \"ferr_ap_acs_f606w\", \n",
    "    \n",
    "        'Flux_F814W_hst': \"f_acs_f814w\", \n",
    "        'Fluxerr_F814W_hst': \"ferr_acs_f814w\", \n",
    "        'flux_aper10_f814w': \"f_ap_acs_f814w\", \n",
    "        'fluxerr_aper10_f814w': \"ferr_ap_acs_f814w\", \n",
    "\n",
    "        'Flux_F125W_hst': \"f_wfc3_f125w\", \n",
    "        'Fluxerr_F125W_hst': \"ferr_wfc3_f125w\", \n",
    "        'flux_aper10_f125w': \"f_ap_wfc3_f125w\", \n",
    "        'fluxerr_aper10_f125w': \"ferr_ap_wfc3_f125w\", \n",
    "    \n",
    "        'Flux_F160W_hst': \"f_wfc3_f160w\", \n",
    "        'Fluxerr_F160W_hst': \"ferr_wfc3_f160w\", \n",
    "        'flux_aper10_f160w': \"f_ap_wfc3_f160w\", \n",
    "        'fluxerr_aper10_f160w': \"ferr_ap_wfc3_f160w\", \n",
    "\n",
    "    # Megacam u\n",
    "    'Flux_U_cfht': 'f_candels-megacam_u',\n",
    "    'Fluxerr_U_cfht': 'ferr_candels-megacam_u',\n",
    "    \n",
    "    # Suprime B, V, Rc, ip, zp - ip and zp are labelled with prime so as not to be confused with hsc i and z\n",
    "    'Flux_B_subaru': 'f_suprime_b',\n",
    "    'Fluxerr_B_subaru': 'ferr_suprime_b',\n",
    "    'Flux_V_subaru': 'f_suprime_v',\n",
    "    'Fluxerr_V_subaru': 'ferr_suprime_v',\n",
    "    'Flux_R_subaru': 'f_suprime_rc',\n",
    "    'Fluxerr_R_subaru': 'ferr_suprime_rc',\n",
    "    'Flux_i_subaru': 'f_suprime_ip',\n",
    "    'Fluxerr_i_subaru': 'ferr_suprime_ip',\n",
    "    'Flux_z_subaru': 'f_suprime_zp',\n",
    "    'Fluxerr_z_subaru': 'ferr_suprime_zp',\n",
    "    \n",
    "    #HAWKI VLT\n",
    "        'Flux_Y_hawki': \"f_hawki_y\",\n",
    "        'Fluxerr_Y_hawki': \"ferr_hawki_y\",\n",
    "        'Flux_Y_hawki': \"f_hawki_k\",\n",
    "        'Fluxerr_Ks_hawki': \"ferr_hawki_k\",\n",
    "    \n",
    "    # UKIDSS J, H, K\n",
    "    'Flux_J_ukidss_DR8': \"f_candels-ukidss_j\",\n",
    "    'Fluxerr_J_ukidss_DR8': \"ferr_candels-ukidss_j\",\n",
    "    'Flux_H_ukidss_DR8': \"f_candels-ukidss_h\",\n",
    "    'Fluxerr_H_ukidss_DR8': \"ferr_candels-ukidss_h\",    \n",
    "    'Flux_K_ukidss_DR8': \"f_candels-ukidss_k\",\n",
    "    'Fluxerr_K_ukidss_DR8': \"ferr_candels-ukidss_k\",\n",
    "    \n",
    "    #Spitzer/IRAC\n",
    "        'Flux_ch1_seds': \"f_candels-irac_i1\",# 47 IRAC_CH1_FLUX Flux density (in μJy) in the 3.6μm-band (Spitzer/IRAC) (3)\n",
    "        'Fluxerr_ch1_seds': \"ferr_candels-irac_i1\",# 48 IRAC_CH1_FLUXERR Flux uncertainty (in μJy) in the 3.6μm-band (Spitzer/IRAC) (3)\n",
    "        'Flux_ch2_seds': \"f_candels-irac_i2\",# 49 IRAC_CH2_FLUX Flux density (in μJy) in the 4.5μm-band (Spitzer/IRAC) (3)\n",
    "        'Fluxerr_ch2_seds': \"ferr_candels-irac_i2\",# 50 IRAC_CH2_FLUXERR Flux uncertainty (in μJy) in the 4.5μm-band (Spitzer/IRAC) (3)\n",
    "        'Flux_ch3_spuds': \"f_candels-irac_i3\",# 51 IRAC_CH3_FLUX Flux density (in μJy) in the 5.8μm-band (Spitzer/IRAC) (3)\n",
    "        'Fluxerr_ch3_spuds': \"ferr_candels-irac_i3\",# 52 IRAC_CH3_FLUXERR Flux uncertainty (in μJy) in the 5.8μm-band (Spitzer/IRAC) (3)\n",
    "        'Flux_ch4_spuds': \"f_candels-irac_i4\",# 53 IRAC_CH4_FLUX Flux density (in μJy) in the 8.0μm-band (Spitzer/IRAC) (3)\n",
    "        'Fluxerr_ch4_spuds': \"ferr_candels-irac_i4\"# 54 IRAC_CH4_FLUXERR\n",
    "    \n",
    "    \n",
    "    })\n",
    "\n",
    "\n",
    "catalogue = Table.read(\"../../dmu0/dmu0_CANDELS-UDS/data/hlsp_candels_hst_wfc3_uds-tot-multiband_f160w_v1_cat.fits\")[list(imported_columns)]\n",
    "for column in imported_columns:\n",
    "    catalogue[column].name = imported_columns[column]\n",
    "\n",
    "epoch = 2011\n",
    "\n",
    "# Clean table metadata\n",
    "catalogue.meta = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/rs548/GitHub/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: invalid value encountered in log10\n",
      "  magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n",
      "/Users/rs548/GitHub/herschelhelp_internal/herschelhelp_internal/utils.py:76: RuntimeWarning: divide by zero encountered in log10\n",
      "  magnitudes = 2.5 * (23 - np.log10(fluxes)) - 48.6\n",
      "/Users/rs548/GitHub/herschelhelp_internal/herschelhelp_internal/utils.py:80: RuntimeWarning: divide by zero encountered in true_divide\n",
      "  errors = 2.5 / np.log(10) * errors_on_fluxes / fluxes\n"
     ]
    }
   ],
   "source": [
    "# Adding flux and band-flag columns\n",
    "for col in catalogue.colnames:\n",
    "    if col.startswith('f_'):\n",
    "        \n",
    "        errcol = \"ferr{}\".format(col[1:])\n",
    "        \n",
    "        # Some object have a magnitude to 0, we suppose this means missing value\n",
    "        mask = np.isclose(catalogue[col], -99.) \n",
    "        catalogue[col][mask] = np.nan\n",
    "        catalogue[errcol][mask] = np.nan  \n",
    "        \n",
    "\n",
    "        mag, error = flux_to_mag(np.array(catalogue[col])*1.e-6, np.array(catalogue[errcol])*1.e-6)\n",
    "        \n",
    "        # Fluxes are added in µJy\n",
    "        catalogue.add_column(Column(mag, name=\"m{}\".format(col[1:])))\n",
    "        catalogue.add_column(Column(error, name=\"m{}\".format(errcol[1:])))\n",
    "        \n",
    "\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",
    "catalogue['candels_stellarity'] = catalogue['candels_stellarity'].astype(float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<Table length=10>\n",
       "<table id=\"table4523242552-685169\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>candels_id</th><th>candels_ra</th><th>candels_dec</th><th>candels_stellarity</th><th>f_acs_f606w</th><th>ferr_acs_f606w</th><th>f_ap_acs_f606w</th><th>ferr_ap_acs_f606w</th><th>f_acs_f814w</th><th>ferr_acs_f814w</th><th>f_ap_acs_f814w</th><th>ferr_ap_acs_f814w</th><th>f_wfc3_f125w</th><th>ferr_wfc3_f125w</th><th>f_ap_wfc3_f125w</th><th>ferr_ap_wfc3_f125w</th><th>f_wfc3_f160w</th><th>ferr_wfc3_f160w</th><th>f_ap_wfc3_f160w</th><th>ferr_ap_wfc3_f160w</th><th>f_candels-megacam_u</th><th>ferr_candels-megacam_u</th><th>f_suprime_b</th><th>ferr_suprime_b</th><th>f_suprime_v</th><th>ferr_suprime_v</th><th>f_suprime_rc</th><th>ferr_suprime_rc</th><th>f_suprime_ip</th><th>ferr_suprime_ip</th><th>f_suprime_zp</th><th>ferr_suprime_zp</th><th>f_hawki_k</th><th>ferr_hawki_y</th><th>ferr_hawki_k</th><th>f_candels-ukidss_j</th><th>ferr_candels-ukidss_j</th><th>f_candels-ukidss_h</th><th>ferr_candels-ukidss_h</th><th>f_candels-ukidss_k</th><th>ferr_candels-ukidss_k</th><th>f_candels-irac_i1</th><th>ferr_candels-irac_i1</th><th>f_candels-irac_i2</th><th>ferr_candels-irac_i2</th><th>f_candels-irac_i3</th><th>ferr_candels-irac_i3</th><th>f_candels-irac_i4</th><th>ferr_candels-irac_i4</th><th>m_acs_f606w</th><th>merr_acs_f606w</th><th>flag_acs_f606w</th><th>m_ap_acs_f606w</th><th>merr_ap_acs_f606w</th><th>m_acs_f814w</th><th>merr_acs_f814w</th><th>flag_acs_f814w</th><th>m_ap_acs_f814w</th><th>merr_ap_acs_f814w</th><th>m_wfc3_f125w</th><th>merr_wfc3_f125w</th><th>flag_wfc3_f125w</th><th>m_ap_wfc3_f125w</th><th>merr_ap_wfc3_f125w</th><th>m_wfc3_f160w</th><th>merr_wfc3_f160w</th><th>flag_wfc3_f160w</th><th>m_ap_wfc3_f160w</th><th>merr_ap_wfc3_f160w</th><th>m_candels-megacam_u</th><th>merr_candels-megacam_u</th><th>flag_candels-megacam_u</th><th>m_suprime_b</th><th>merr_suprime_b</th><th>flag_suprime_b</th><th>m_suprime_v</th><th>merr_suprime_v</th><th>flag_suprime_v</th><th>m_suprime_rc</th><th>merr_suprime_rc</th><th>flag_suprime_rc</th><th>m_suprime_ip</th><th>merr_suprime_ip</th><th>flag_suprime_ip</th><th>m_suprime_zp</th><th>merr_suprime_zp</th><th>flag_suprime_zp</th><th>m_hawki_k</th><th>merr_hawki_k</th><th>flag_hawki_k</th><th>m_candels-ukidss_j</th><th>merr_candels-ukidss_j</th><th>flag_candels-ukidss_j</th><th>m_candels-ukidss_h</th><th>merr_candels-ukidss_h</th><th>flag_candels-ukidss_h</th><th>m_candels-ukidss_k</th><th>merr_candels-ukidss_k</th><th>flag_candels-ukidss_k</th><th>m_candels-irac_i1</th><th>merr_candels-irac_i1</th><th>flag_candels-irac_i1</th><th>m_candels-irac_i2</th><th>merr_candels-irac_i2</th><th>flag_candels-irac_i2</th><th>m_candels-irac_i3</th><th>merr_candels-irac_i3</th><th>flag_candels-irac_i3</th><th>m_candels-irac_i4</th><th>merr_candels-irac_i4</th><th>flag_candels-irac_i4</th></tr></thead>\n",
       "<tr><td>0</td><td>1</td><td>34.2237643</td><td>-5.278053</td><td>0.519999980927</td><td>0.00383235</td><td>0.00380117</td><td>0.189778</td><td>0.0313505</td><td>0.0200556</td><td>0.00454155</td><td>0.667812</td><td>0.03512</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.0432469</td><td>0.0107197</td><td>0.665096</td><td>0.0916176</td><td>0.0253491</td><td>0.0079166</td><td>0.1070755</td><td>0.0051127</td><td>0.1961661</td><td>0.0078883</td><td>0.2805149</td><td>0.012035</td><td>0.3639701</td><td>0.015676</td><td>0.4249759</td><td>0.0252748</td><td>nan</td><td>-99.0</td><td>nan</td><td>0.3989874</td><td>0.0455263</td><td>0.4988002</td><td>0.0917653</td><td>0.6212133</td><td>0.0551074</td><td>7.7534485</td><td>0.1612514</td><td>5.9024348</td><td>0.2028079</td><td>8.4801502</td><td>5.5815258</td><td>11.5163879</td><td>7.3330321</td><td>29.9413370866</td><td>1.07690265488</td><td>False</td><td>25.7043853364</td><td>0.179358897698</td><td>28.1444108519</td><td>0.245862764551</td><td>False</td><td>24.3383644533</td><td>0.0570984880642</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td><td>27.3101125448</td><td>0.26912371509</td><td>False</td><td>24.3427891602</td><td>0.149561184119</td><td>27.8900936384</td><td>0.339078674927</td><td>False</td><td>26.3257747224</td><td>0.0518423308233</td><td>False</td><td>25.6684401052</td><td>0.0436600049855</td><td>False</td><td>25.2801101639</td><td>0.0465816084075</td><td>False</td><td>24.99733573</td><td>0.0467620849784</td><td>False</td><td>24.8290892442</td><td>0.0645725214724</td><td>False</td><td>nan</td><td>nan</td><td>False</td><td>24.8976020477</td><td>0.123887501657</td><td>False</td><td>24.6551834526</td><td>0.199745125504</td><td>False</td><td>24.4168981368</td><td>0.0963149039631</td><td>False</td><td>21.6762627336</td><td>0.0225804663625</td><td>False</td><td>21.9724220039</td><td>0.0373059401928</td><td>False</td><td>21.5789911387</td><td>0.71461760652</td><td>False</td><td>21.2467092886</td><td>0.691339898478</td><td>False</td></tr>\n",
       "<tr><td>1</td><td>2</td><td>34.2239039</td><td>-5.277949</td><td>0.600000023842</td><td>0.152107</td><td>0.0358003</td><td>0.209163</td><td>0.0314603</td><td>0.343002</td><td>0.0407999</td><td>0.686853</td><td>0.0354069</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.443607</td><td>0.0599043</td><td>0.548932</td><td>0.0839704</td><td>-0.016319</td><td>0.0081315</td><td>0.0273083</td><td>0.0052857</td><td>0.0505463</td><td>0.0081046</td><td>0.0623513</td><td>0.0123424</td><td>0.1203997</td><td>0.0157696</td><td>0.1211634</td><td>0.0259548</td><td>nan</td><td>-99.0</td><td>nan</td><td>-0.072327</td><td>0.0479076</td><td>0.0177186</td><td>0.0954408</td><td>-0.0963344</td><td>0.058181</td><td>-5.3686185</td><td>0.1557703</td><td>-3.9642839</td><td>0.1994832</td><td>-7.4006734</td><td>5.4277391</td><td>-8.1172228</td><td>7.1442533</td><td>25.9446269979</td><td>0.255541703217</td><td>False</td><td>25.5987878444</td><td>0.16330606619</td><td>25.0617583691</td><td>0.129147726779</td><td>False</td><td>24.3078405013</td><td>0.0559691130828</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td><td>24.7825040235</td><td>0.146616864321</td><td>False</td><td>24.5512036282</td><td>0.166085605153</td><td>nan</td><td>-0.541005205527</td><td>False</td><td>27.8092633369</td><td>0.210151340709</td><td>False</td><td>27.1407765734</td><td>0.174087077493</td><td>False</td><td>26.9128862181</td><td>0.214920788077</td><td>False</td><td>26.198436488</td><td>0.142206547479</td><td>False</td><td>26.1915713708</td><td>0.232579030031</td><td>False</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>-0.71916456929</td><td>False</td><td>28.27892649</td><td>5.84829117261</td><td>False</td><td>nan</td><td>-0.655728567667</td><td>False</td><td>nan</td><td>-0.0315026024546</td><td>False</td><td>nan</td><td>-0.0546343647288</td><td>False</td><td>nan</td><td>-0.796291436243</td><td>False</td><td>nan</td><td>-0.955594623296</td><td>False</td></tr>\n",
       "<tr><td>2</td><td>3</td><td>34.2234901</td><td>-5.2779525</td><td>0.0</td><td>0.0328152</td><td>0.00704481</td><td>0.198287</td><td>0.0311769</td><td>0.0512792</td><td>0.00735298</td><td>0.508555</td><td>0.0331728</td><td>0.130189</td><td>0.0249594</td><td>0.596059</td><td>0.145368</td><td>0.123917</td><td>0.0176126</td><td>0.29656</td><td>0.0873411</td><td>0.0532093</td><td>0.0065303</td><td>0.228689</td><td>0.0046072</td><td>0.385888</td><td>0.0071173</td><td>0.5438799</td><td>0.0107064</td><td>0.6749271</td><td>0.0142887</td><td>0.7351558</td><td>0.0230638</td><td>nan</td><td>-99.0</td><td>nan</td><td>0.4838867</td><td>0.040427</td><td>0.598594</td><td>0.0822843</td><td>0.652486</td><td>0.0504896</td><td>3.9972773</td><td>0.0818634</td><td>4.0006614</td><td>0.1019581</td><td>6.831326</td><td>2.8198733</td><td>3.0184731</td><td>3.5179389</td><td>27.6098123612</td><td>0.233087266652</td><td>False</td><td>25.6567643947</td><td>0.170711590181</td><td>27.125146897</td><td>0.155684889758</td><td>False</td><td>24.6341551786</td><td>0.0708220545923</td><td>26.1135642722</td><td>0.208153716743</td><td>False</td><td>24.4617768754</td><td>0.264791405907</td><td>26.1671727732</td><td>0.154318111961</td><td>False</td><td>25.2197185674</td><td>0.319764615705</td><td>27.0850311361</td><td>0.133250825287</td><td>False</td><td>25.5018868114</td><td>0.0218733906859</td><td>False</td><td>24.9338468163</td><td>0.0200252671504</td><td>False</td><td>24.5612424774</td><td>0.0213729650657</td><td>False</td><td>24.3268578338</td><td>0.0229858290013</td><td>False</td><td>24.2340515301</td><td>0.0340624431982</td><td>False</td><td>nan</td><td>nan</td><td>False</td><td>24.6881407866</td><td>0.0907093696722</td><td>False</td><td>24.4571691015</td><td>0.14924814414</td><td>False</td><td>24.3635720057</td><td>0.0840146557685</td><td>False</td><td>22.3955893068</td><td>0.0222356495569</td><td>False</td><td>22.39467051</td><td>0.0276703248464</td><td>False</td><td>21.8137374726</td><td>0.448176318132</td><td>False</td><td>22.7005317253</td><td>1.26539263506</td><td>False</td></tr>\n",
       "<tr><td>3</td><td>4</td><td>34.2651053</td><td>-5.277749</td><td>0.00999999977648</td><td>0.0328907</td><td>0.0145209</td><td>0.396141</td><td>0.0474954</td><td>0.0656842</td><td>0.0142876</td><td>0.423721</td><td>0.044462</td><td>0.234673</td><td>0.0351306</td><td>1.7147</td><td>0.301639</td><td>nan</td><td>nan</td><td>1.39196</td><td>0.0892937</td><td>0.0134078</td><td>0.0068738</td><td>0.0613298</td><td>0.0040118</td><td>0.091597</td><td>0.007739</td><td>0.1152063</td><td>0.0067216</td><td>0.2236729</td><td>0.0084242</td><td>0.3503483</td><td>0.023667</td><td>nan</td><td>-99.0</td><td>nan</td><td>1.4360707</td><td>0.046361</td><td>2.6859834</td><td>0.0969349</td><td>3.9268873</td><td>0.0583401</td><td>10.7989941</td><td>0.0666577</td><td>13.1855164</td><td>0.0899891</td><td>10.9588842</td><td>1.7959237</td><td>16.0584793</td><td>2.7690244</td><td>27.6073172087</td><td>0.479341177162</td><td>False</td><td>24.9053755161</td><td>0.130174547294</td><td>26.856347713</td><td>0.236168889917</td><td>False</td><td>24.8323000286</td><td>0.113928748247</td><td>25.4738421868</td><td>0.162534949972</td><td>False</td><td>23.3145296304</td><td>0.19099573282</td><td>nan</td><td>nan</td><td>False</td><td>23.5409331116</td><td>0.0696495610124</td><td>28.5816061923</td><td>0.556626256676</td><td>False</td><td>26.9308211289</td><td>0.0710218606004</td><td>False</td><td>26.4952968755</td><td>0.0917334900556</td><td>False</td><td>26.2463094277</td><td>0.0633462273669</td><td>False</td><td>25.5259665786</td><td>0.0408921194124</td><td>False</td><td>25.0387499637</td><td>0.0733444939165</td><td>False</td><td>nan</td><td>nan</td><td>False</td><td>23.5070604464</td><td>0.035051071085</td><td>False</td><td>22.8272416892</td><td>0.039183313804</td><td>False</td><td>22.4148789065</td><td>0.0161303225481</td><td>False</td><td>21.3165417403</td><td>0.00670179810691</td><td>False</td><td>21.0997571419</td><td>0.00740998084107</td><td>False</td><td>21.3005841553</td><td>0.177928641866</td><td>False</td><td>20.8857389594</td><td>0.187217605526</td><td>False</td></tr>\n",
       "<tr><td>4</td><td>5</td><td>34.2953666</td><td>-5.2776482</td><td>0.0</td><td>0.588878</td><td>0.0269462</td><td>19.7562</td><td>0.156768</td><td>0.791973</td><td>0.0279338</td><td>35.5287</td><td>0.192843</td><td>0.616685</td><td>0.0475773</td><td>9.48301</td><td>0.222582</td><td>1.03337</td><td>0.0424778</td><td>4.30963</td><td>0.119648</td><td>6.8024368</td><td>0.0077833</td><td>11.7074871</td><td>0.0046557</td><td>18.3564949</td><td>0.0087363</td><td>25.0890808</td><td>0.0094336</td><td>30.2162495</td><td>0.0129899</td><td>34.4122581</td><td>0.0269354</td><td>nan</td><td>-99.0</td><td>nan</td><td>67.14328</td><td>0.0485047</td><td>62.9228096</td><td>0.1015036</td><td>28.6200943</td><td>0.0595617</td><td>101.0892334</td><td>0.1377356</td><td>75.6936264</td><td>0.1573701</td><td>65.2973251</td><td>2.8800869</td><td>39.0768776</td><td>4.7422323</td><td>24.4749366757</td><td>0.0496817081308</td><td>False</td><td>20.6607414649</td><td>0.00861545708929</td><td>24.1532240604</td><td>0.0382951666237</td><td>False</td><td>20.0235517078</td><td>0.0058931688166</td><td>24.4248415376</td><td>0.0837646401885</td><td>False</td><td>21.4576344787</td><td>0.0254840325938</td><td>23.8643603768</td><td>0.0446303699144</td><td>False</td><td>22.3139000357</td><td>0.0301432293322</td><td>21.8183387112</td><td>0.00124229167443</td><td>False</td><td>21.2288407802</td><td>0.000431763196091</td><td>False</td><td>20.7405256051</td><td>0.000516728125783</td><td>False</td><td>20.4012881246</td><td>0.000408241383686</td><td>False</td><td>20.1993986053</td><td>0.000466755635116</td><td>False</td><td>20.0582170711</td><td>0.000849834930467</td><td>False</td><td>nan</td><td>nan</td><td>False</td><td>19.3324936174</td><td>0.000784342214008</td><td>False</td><td>19.4029797343</td><td>0.00175144965926</td><td>False</td><td>20.2583223491</td><td>0.00225954161538</td><td>False</td><td>18.8882377422</td><td>0.0014793318989</td><td>False</td><td>19.2023517192</td><td>0.00225728932861</td><td>False</td><td>19.362761523</td><td>0.0478888624517</td><td>False</td><td>19.9202003636</td><td>0.131761123603</td><td>False</td></tr>\n",
       "<tr><td>5</td><td>6</td><td>34.2623285</td><td>-5.277639</td><td>0.990000009537</td><td>0.909265</td><td>0.0344329</td><td>0.906097</td><td>0.0516012</td><td>1.2425</td><td>0.0345479</td><td>1.24206</td><td>0.0499163</td><td>1.36594</td><td>0.0481661</td><td>1.49832</td><td>0.0835658</td><td>1.48605</td><td>0.0501724</td><td>1.5491</td><td>0.0752881</td><td>0.1916049</td><td>0.0062028</td><td>0.471835</td><td>0.0035422</td><td>0.8439085</td><td>0.0069494</td><td>1.0120889</td><td>0.0063073</td><td>1.2988968</td><td>0.0074521</td><td>1.277318</td><td>0.0208103</td><td>nan</td><td>-99.0</td><td>nan</td><td>1.3726765</td><td>0.0405144</td><td>1.534698</td><td>0.0848346</td><td>1.0194699</td><td>0.0501096</td><td>0.7799978</td><td>0.0498606</td><td>0.5346622</td><td>0.0676026</td><td>1.5168504</td><td>1.4820567</td><td>-2.0007536</td><td>2.2976654</td><td>24.0032738143</td><td>0.0411156771291</td><td>False</td><td>24.0070632688</td><td>0.0618314496671</td><td>23.6642590065</td><td>0.0301890590168</td><td>False</td><td>23.6646435606</td><td>0.0436339098897</td><td>23.5614209424</td><td>0.0382854873655</td><td>False</td><td>23.4609885584</td><td>0.0605547643625</td><td>23.4699164449</td><td>0.0366569033072</td><td>False</td><td>23.4248013651</td><td>0.052768069174</td><td>25.6939834718</td><td>0.0351483940696</td><td>False</td><td>24.7155246174</td><td>0.00815093154279</td><td>False</td><td>24.084261597</td><td>0.00894079770656</td><td>False</td><td>23.8869533455</td><td>0.00676626723628</td><td>False</td><td>23.6160633828</td><td>0.00622914366367</td><td>False</td><td>23.6342524192</td><td>0.0176890141232</td><td>False</td><td>nan</td><td>nan</td><td>False</td><td>23.5560795033</td><td>0.032045387893</td><td>False</td><td>23.4349426821</td><td>0.0600170174433</td><td>False</td><td>23.8790639808</td><td>0.0533667614178</td><td>False</td><td>24.1697665556</td><td>0.0694046298733</td><td>False</td><td>24.5798012973</td><td>0.137280305875</td><td>False</td><td>23.4476431239</td><td>1.0608314549</td><td>False</td><td>nan</td><td>-1.24685943896</td><td>False</td></tr>\n",
       "<tr><td>6</td><td>7</td><td>34.2735198</td><td>-5.2774614</td><td>0.0</td><td>0.0378504</td><td>0.0102481</td><td>0.0785766</td><td>0.0439404</td><td>0.0876356</td><td>0.0110787</td><td>0.197364</td><td>0.0421329</td><td>0.0913736</td><td>0.0159556</td><td>0.238668</td><td>0.0820361</td><td>0.108755</td><td>0.0168276</td><td>0.308733</td><td>1.96967</td><td>0.0740362</td><td>0.0069421</td><td>0.0788938</td><td>0.0041298</td><td>0.0888844</td><td>0.0074549</td><td>0.105492</td><td>0.0058975</td><td>0.2010929</td><td>0.0083805</td><td>0.2102027</td><td>0.0215401</td><td>nan</td><td>-99.0</td><td>nan</td><td>0.2087499</td><td>0.0421144</td><td>0.3815094</td><td>0.0882051</td><td>0.422194</td><td>0.052297</td><td>0.3976128</td><td>0.048623</td><td>0.3426238</td><td>0.0627264</td><td>0.1945765</td><td>1.0035983</td><td>0.1125159</td><td>1.739204</td><td>27.4548238164</td><td>0.293966066408</td><td>False</td><td>26.6617669175</td><td>0.607148732976</td><td>26.543298589</td><td>0.137256385438</td><td>False</td><td>25.6618301538</td><td>0.231780947597</td><td>26.4979481603</td><td>0.189590566516</td><td>False</td><td>25.4555145155</td><td>0.373194411765</td><td>26.3088769182</td><td>0.167995352482</td><td>False</td><td>25.1760423674</td><td>6.9268333169</td><td>26.7263897001</td><td>0.101805458776</td><td>False</td><td>26.657392813</td><td>0.0568342934224</td><td>False</td><td>26.5279361372</td><td>0.0910627155367</td><td>False</td><td>26.3419511847</td><td>0.0606977710875</td><td>False</td><td>25.641508157</td><td>0.0452478046911</td><td>False</td><td>25.5934042747</td><td>0.111258639514</td><td>False</td><td>nan</td><td>nan</td><td>False</td><td>25.6009343097</td><td>0.219042638208</td><td>False</td><td>24.9462368925</td><td>0.251022571172</td><td>False</td><td>24.8362198574</td><td>0.134489704497</td><td>False</td><td>24.901349108</td><td>0.132771760577</td><td>False</td><td>25.0629561813</td><td>0.19877289165</td><td>False</td><td>25.6772740322</td><td>5.60007508278</td><td>False</td><td>26.271965254</td><td>16.78266583</td><td>False</td></tr>\n",
       "<tr><td>7</td><td>8</td><td>34.2244858</td><td>-5.2773846</td><td>0.360000014305</td><td>0.022162</td><td>0.0335978</td><td>-0.0320263</td><td>0.0309293</td><td>0.0474166</td><td>0.0351609</td><td>0.130792</td><td>0.0341428</td><td>0.0490986</td><td>0.0642949</td><td>0.0371461</td><td>0.0620933</td><td>0.289979</td><td>0.0409937</td><td>0.301996</td><td>0.056041</td><td>-0.0032826</td><td>0.0062813</td><td>0.0219457</td><td>0.0044207</td><td>0.0397608</td><td>0.006632</td><td>0.0412439</td><td>0.0096323</td><td>0.0448376</td><td>0.0110313</td><td>0.0481238</td><td>0.0205071</td><td>nan</td><td>-99.0</td><td>nan</td><td>0.1484165</td><td>0.040435</td><td>0.0900109</td><td>0.0812886</td><td>0.0861035</td><td>0.0502468</td><td>0.3350099</td><td>0.0622374</td><td>0.5058988</td><td>0.0813448</td><td>-1.7647239</td><td>2.143779</td><td>-1.8958515</td><td>2.6810842</td><td>28.0359776236</td><td>1.64598627652</td><td>False</td><td>nan</td><td>-1.04854637588</td><td>27.2101739757</td><td>0.80510753875</td><td>False</td><td>26.1085470479</td><td>0.283427687411</td><td>27.172327228</td><td>1.42177782485</td><td>False</td><td>27.4752169411</td><td>1.8149131102</td><td>25.2440836304</td><td>0.153488163822</td><td>False</td><td>25.1999970233</td><td>0.201478637634</td><td>nan</td><td>-2.0775710787</td><td>False</td><td>28.0466264049</td><td>0.218708632688</td><td>False</td><td>27.4013622151</td><td>0.181098028962</td><td>False</td><td>27.361600687</td><td>0.253568087525</td><td>False</td><td>27.2708941043</td><td>0.267121384631</td><td>False</td><td>27.1941002169</td><td>0.462667140263</td><td>False</td><td>nan</td><td>nan</td><td>False</td><td>25.9712945357</td><td>0.295800961749</td><td>False</td><td>26.5142622396</td><td>0.980525425855</td><td>False</td><td>26.5624479866</td><td>0.633595265387</td><td>False</td><td>25.0873558969</td><td>0.20170567637</td><td>False</td><td>24.6398408769</td><td>0.174578382927</td><td>False</td><td>nan</td><td>-1.31894766955</td><td>False</td><td>nan</td><td>-1.53543153773</td><td>False</td></tr>\n",
       "<tr><td>8</td><td>9</td><td>34.289225</td><td>-5.2773859</td><td>0.910000026226</td><td>0.0105264</td><td>0.00743139</td><td>0.161103</td><td>0.0329362</td><td>0.00314498</td><td>0.007003</td><td>0.0661978</td><td>0.0309225</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.534503</td><td>0.361417</td><td>0.0674253</td><td>0.0063052</td><td>0.0898273</td><td>0.0030152</td><td>0.0935968</td><td>0.0054295</td><td>0.076571</td><td>0.0044505</td><td>0.0840084</td><td>0.0058562</td><td>0.0708846</td><td>0.0174626</td><td>nan</td><td>-99.0</td><td>nan</td><td>0.0909664</td><td>0.0384984</td><td>0.1579165</td><td>0.0813589</td><td>0.1437292</td><td>0.0469805</td><td>0.3950748</td><td>0.0510983</td><td>0.5219725</td><td>0.0647212</td><td>4.1427865</td><td>1.1386073</td><td>-2.4398196</td><td>2.0715337</td><td>28.8443003274</td><td>0.766504139561</td><td>False</td><td>25.8822409306</td><td>0.22196994958</td><td>30.1559552801</td><td>2.41763402054</td><td>False</td><td>26.8478911089</td><td>0.507172108312</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>24.5801246322</td><td>0.734146528485</td><td>26.8279427813</td><td>0.101531382408</td><td>False</td><td>26.516479135</td><td>0.0364445085691</td><td>False</td><td>26.471847498</td><td>0.062982972962</td><td>False</td><td>26.6898392027</td><td>0.0631057316644</td><td>False</td><td>26.5891932167</td><td>0.075686340441</td><td>False</td><td>26.7736202675</td><td>0.26747385256</td><td>False</td><td>nan</td><td>nan</td><td>False</td><td>26.5027974804</td><td>0.45950050464</td><td>False</td><td>25.9039312253</td><td>0.559373487313</td><td>False</td><td>26.0061374793</td><td>0.354892601974</td><td>False</td><td>24.9083016777</td><td>0.140427266714</td><td>False</td><td>24.6058809427</td><td>0.134624237973</td><td>False</td><td>22.3567686191</td><td>0.298404749705</td><td>False</td><td>nan</td><td>-0.921846491219</td><td>False</td></tr>\n",
       "<tr><td>9</td><td>10</td><td>34.234112</td><td>-5.277367</td><td>0.0</td><td>0.152154</td><td>0.0221126</td><td>0.139534</td><td>0.0443142</td><td>0.172488</td><td>0.022292</td><td>0.148989</td><td>0.0441489</td><td>0.280059</td><td>0.0334403</td><td>0.35172</td><td>0.0647246</td><td>0.45941</td><td>0.0338432</td><td>0.421434</td><td>0.052084</td><td>0.0417632</td><td>0.0064693</td><td>0.1073564</td><td>0.0030393</td><td>0.1501924</td><td>0.0045946</td><td>0.1494837</td><td>0.0065727</td><td>0.164952</td><td>0.0063477</td><td>0.1588035</td><td>0.0148701</td><td>nan</td><td>-99.0</td><td>nan</td><td>0.2848519</td><td>0.0419836</td><td>0.4289925</td><td>0.0844432</td><td>0.5452679</td><td>0.0502516</td><td>0.6294125</td><td>0.0518056</td><td>0.7021672</td><td>0.0676026</td><td>-0.0262255</td><td>1.8285483</td><td>-0.9280451</td><td>2.1259727</td><td>25.9442915648</td><td>0.157790464932</td><td>False</td><td>26.0382998893</td><td>0.344815824995</td><td>25.8081027836</td><td>0.140318349546</td><td>False</td><td>25.967114487</td><td>0.321728846628</td><td>25.2818761656</td><td>0.129641769798</td><td>False</td><td>25.0345073388</td><td>0.199800527574</td><td>24.7444988893</td><td>0.0799825592061</td><td>False</td><td>24.8381760744</td><td>0.134183488965</td><td>27.34801558</td><td>0.168185225975</td><td>False</td><td>26.3229301505</td><td>0.0307375996878</td><td>False</td><td>25.9583801071</td><td>0.0332142210017</td><td>False</td><td>25.9635154027</td><td>0.0477391070265</td><td>False</td><td>25.8566060359</td><td>0.041781413423</td><td>False</td><td>25.8978498251</td><td>0.101666562377</td><td>False</td><td>nan</td><td>nan</td><td>False</td><td>25.2634521985</td><td>0.160023909007</td><td>False</td><td>24.8188757511</td><td>0.213717115068</td><td>False</td><td>24.5584751713</td><td>0.100060871852</td><td>False</td><td>24.4026615908</td><td>0.089364630555</td><td>False</td><td>24.2838986535</td><td>0.104531499557</td><td>False</td><td>nan</td><td>-75.7019348138</td><td>False</td><td>nan</td><td>-2.48721266964</td><td>False</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(\"$('#table4523242552-685169').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",
       "    $('#table4523242552-685169').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, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 58, 59, 60, 61, 63, 64, 65, 66, 68, 69, 70, 71, 73, 74, 76, 77, 79, 80, 82, 83, 85, 86, 88, 89, 91, 92, 94, 95, 97, 98, 100, 101, 103, 104, 106, 107, 109, 110], type: \"optionalnum\"}]\n",
       "    });\n",
       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "catalogue[:10].show_in_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## II - Removal of duplicated sources"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We remove duplicated objects from the input catalogues."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The initial catalogue had 35932 sources.\n",
      "The cleaned catalogue has 35931 sources (1 removed).\n",
      "The cleaned catalogue has 1 sources flagged as having been cleaned\n"
     ]
    }
   ],
   "source": [
    "SORT_COLS = list(set([column for column in catalogue.colnames if column.startswith('ferr_')]) )\n",
    "FLAG_NAME = 'candels_flag_cleaned'\n",
    "\n",
    "nb_orig_sources = len(catalogue)\n",
    "\n",
    "catalogue = remove_duplicates(catalogue, RA_COL, DEC_COL, sort_col=SORT_COLS,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": 8,
   "metadata": {
    "collapsed": true
   },
   "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": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbMAAAGqCAYAAACBNKrUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ca29ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnwAAAF8CAYAAABVBWbLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngk9ERETEw6ngExEREfFw/w+mIPJybcqkSwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112ae32e8>"
      ]
     },
     "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": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RA correction: 0.08916959699263316 arcsec\n",
      "Dec correction: -0.09309502868433128 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": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue[RA_COL].unit = u.deg\n",
    "catalogue[DEC_COL].unit = u.deg\n",
    "catalogue[RA_COL] = catalogue[RA_COL] +  delta_ra.to(u.deg)\n",
    "catalogue[DEC_COL] = catalogue[DEC_COL] + delta_dec.to(u.deg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbMAAAGqCAYAAACBNKrUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1127162b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnwAAAF8CAYAAABVBWbLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1138a4dd8>"
      ]
     },
     "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": 13,
   "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": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "124 sources flagged.\n"
     ]
    }
   ],
   "source": [
    "GAIA_FLAG_NAME = \"candels_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": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue.write(\"{}/CANDELS-UDS.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": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}