{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# EGS master catalogue\n", "## Preparation of Hyper Suprime-Cam Subaru Strategic Program Catalogues (HSC-SSP) wide data\n", "\n", "This catalogue comes from `dmu0_HSC`. We only have n921 and n816 photometry on the ultradeep field.\n", "\n", "In the catalogue, we keep:\n", "\n", "- The `object_id` as unique object identifier;\n", "- The position;\n", "- The g, r, i, z, y aperture magnitude in 2” that we aperture correct;\n", "- The g, r, i, z, y kron fluxes and magnitudes.\n", "- The extended flag that we convert to a stellariy.\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) [with local modifications]\n", "This notebook was executed on: \n", "2018-02-07 19:31:20.726269\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": { "collapsed": true }, "outputs": [], "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" ] }, { "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 = \"hsc_ra\"\n", "DEC_COL = \"hsc_dec\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Pritine HSC catalogue\n", "orig_hsc = Table.read(\"../../dmu0/dmu0_HSC/data/HSC-PDR1_wide_EGS_v2.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": { "collapsed": true }, "outputs": [], "source": [ "bands = [\"g\", \"r\", \"i\", \"z\", \"y\"]\n", "apertures = [\"10\", \"15\", \"20\", \"30\", \"57\", \"84\", \"118\", \"168\"] #Removed \"40\" and \"235\" because they lack errors\n", "\n", "magnitudes = {}\n", "magnitude_errors ={}\n", "stellarities = {}\n", "\n", "for band in bands:\n", " magnitudes[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}\".format(band, aperture)] for aperture in apertures]\n", " )\n", " magnitude_errors[band] = np.array(\n", " [orig_hsc[\"{}mag_aperture{}_err\".format(band, aperture)] for aperture in apertures]\n", " )\n", " stellarities[band] = 1 - np.array(orig_hsc[\"{}classification_extendedness\".format(band)])\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", "mag_corr = {}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### I.a - g band" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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VnVW52P++AvVifj6z0xGS/4RxHK8ji4iENBUckQAz1arBGR0wZ3TA/lSC3bAGu+Yt7Fv/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\nGY0pHel1LClg/PqVuWTJkpQpo7ERknfs0cO4r0yDilUwV2jhPRHJydR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nMW07Yhe/i/vY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\noaOAIyIiIqHzA5jxDhs2sX/GAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "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 57 as target." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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KKiFnBQmyDIV5ShusySnKOSaq3QqCjTZ88x2FpXoqq2u4fs4CdmdmubtJTiGC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\nVAKZygooyHFhAx0nghahXZIuCjkoxHtHWpy5aks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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['gmag_aperture20'], orig_hsc['gmag_aperture57'], stellarities['g'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use magnitudes between 18.5 and 20.8" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for g band:\n", "Correction: -0.1536693572998047\n", "Number of source used: 477\n", "RMS: 0.013336935836438763\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['g'], num, std = aperture_correction(\n", " orig_hsc['gmag_aperture20'], orig_hsc['gmag_aperture57'], \n", " stellarities['g'],\n", " mag_min=18.5, mag_max=20.8)\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.b - r band" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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OiMjBTL0GOGOn4z4xA/vcX2DrRrhmMKZKFa+jiUS8IxacsWPHlv5Z++CIiATG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\nf5Ez4VeDs3HjRj744APmz59PTEzMcY8NHz48XwEaNmzI8uXLSUpKYvn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"text/plain": [ "" ] }, "metadata": {}, "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 57 as target." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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1tcqctq7IzxinIkVLL6SkpJCWlobZkar/nnDXMGtjvc13BZ1Ei0f39BDgVh1E+/bvByAz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\nw/wlaDQa3l+51KY6Ew+9no3zHkar1TB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bbNu2jW3blJktq1atIizMNQWner3eZcfuiAgK\npCXtAKKh3qbtr71wGvM2vMjsNeuJGBLKlxueY1RcrEvXqNXpCOxgauYREYnWyS3H+jGKdXygry+f\nrlvdzWROPyIZXajrfx8WTw9aKjsXBCcnxLN5+w4CAwO7XQuAlzd/RlxkBDdfdkm3AXoAHsNHYg7w\nw1Je6tK19zfWrsWJivteCw2eKWPQtKVYw8IwBwVgOnrEZWd032sxMByP10MfGmrX57Ezv1f7FC2L\nFi3q8bmgoCAqKysJCQmhsrLSrl/Q999/z+7du1m8eHGvomfatGlMmzat/eeysjLV57KFsLAwlx27\nKyIsGnIyoLbvCJUemHbaZHYfOsL7K54kIjiImpoal64vMDCw8zmqa9DU990CrAYhYPm9f2PS6GSG\nhQ3pfD4vbzCDph9+H8LYCF2uZ0x4GJU1teTk5xMfE9Npbb8ePMyPqb/z5D130tjQQKO1g9bXg5c/\n1GYqL/Q4odv74gTGba9FUAia2lroNHhSg/APVkaBuAC3vRYDxHF5PSoq0PQ+9s4qtnyvRkfb1mzh\nUHpo8uTJ7NixA4AdO3YwZcoUVfvv3buXTz/9lMceewwvrxNvOqpGp4PEJMXm3wY2zH2Ina+9yMhY\n9e66DqPRoHF2TQuApyd3XHGp9Wm8Q6P6z6fEymtr7yCyUoy76aPNBAf4c9NF07o9B4BOj0bvodzp\nDumHImmJpCPh1uvcNOGRPT4nkQwGHBIt06dPJzU1lVmzZrF//36mT1ecISsqKli5cmX7duvWrWPh\nwoUUFBQwY8YMvvvuOwBee+01jEYjy5Yt45FHHuHll192ZDmDEo1GgyY2ESL6Np7z8fbqcbhej+h0\nqruVrOLszqE2PDytP+7pBSH9Z42u0XvQtf6k3aulywyiDEMe3/z0C3dccSm+3t7WD9jx8aHRshBS\n0n/4+KHx63l4oyY6DoJdZEApkbgYh26dAwICWLx4cbfHQ0NDmT9/fvvPs2fPtrr/hg0bHDn9cYUm\nMgbh6QV5Wc5LJQQPgZg4aGmBtN8dO5YroiwAnj2IlvDI/neD1evB1NL+Y1xkBFqttlsx7qaPt+Dt\n5clfruhl2rTnMdGi8fBAhEdAsboBjBKJXdgSSYlNVN7rdcdZ+kJy3CMdcd0ITWiYki5y9K7c0wuG\nJ6OJH6GkKHx8e45o2IrLIi1WIkceHjanzJxKl9fo6eHBsKHhZHVoey4q///27j62rfLeA/j3Occv\nie343XlxnDQvDW0DYbsoZRsvNwzC/kC7KNuVeun2B/sDIV6mXnXaNGDtihRGuwtVKiQq0Ni4Ve/E\nJDZaiatpTB1SJg22ZYumAmW7tFDomr7ltUlLWpqc+8dJ7CT2sY99bB8fn+9HQsKxfXz89LH9O7/n\neX7PJF57cxj/cfddiAQC2sdam4GJNaUVsCMqOqcLCObed0xIkrqiqFR7eRGVCIOWCiPqAsD6TQUW\nhBLqVdaGG9TjrOTPvvNwTqUKWjJlWmJN6pdquWXIJrXHm1bNaXnp8OtYWFzEg1+7N/ux3LWrbgpZ\nBhpKXNWXKNqgO0OpzqnboF7kEFkEg5YKJGo9QNf1+e0KXesBuroh4q0QmTI1AYO1TkpVVXPtXBLZ\nAURMyLIkz2W1tqVaLYqi4OKlS/ifX7+Bf7v9ltwF/dwZ5rpE6o1nvIi0SFLeGUrhdAIdG+yRBYzE\n+PmrAgxaKpRwuoDOjbkn0UoSEG8Fuq6H8GTZt8lbZ2zYqUSZFiHE6oAo1pg56CoHjUzL7OXLGJ+e\nxsFfv4G5Tz/VUbJfZLx6FZJU0E7fRLqEYwWt8BPumqVh6Sr+OfDWAc1tQMd16uIEsqwq7qXWJxwO\n9cskpDHTvy4AbOiB0DFpVUgSYGT/nlINDwGpISJJNnd5cIb3uLzs+diHJ/HTw/+Lf/2Xz+GGzo7s\nx3G5tIe3QlGgpjbzfUQFE0C08B2nhdcHrOtEVVZwdjiBdZ3qSs0aD7CO1YGtjEFLhROSBNHauXqX\n4+UPYccGiHzGo43Mayll0LI8GTfaUJpaMHplyrQsBS1P//S/cX5qSt/GiFmCEiEE0GhCnR27SC6V\nt9mPkj+oZkwMEP4QkGgrzvlUDAG0dqqZ6+W/1Pmr8H3mqSlhfJ6jSWwwkFkdRFNCXRJ9eQ5oains\nx90fhPplXsCSamcJu4rLpaamY4VfKRZFhsCspaEeDlnG20ffRc/6Dtz2+RtzH8eV/cdDBEJQPD71\n35KKQKh9OxKDWPoiVsJR4JMT6nJ/OyjSZ0dEYlA+uwqcO12U45muIZ5xh3gRjkG5esWeZQi8depq\nxtA14B/vAAvXzD6jvDDTYiEiEoNoaS84GyEcTiDbvJdsSpppcQHh+qUCbybK0K4OWUbL0k7UD//7\n1/StzNAqOLdSnjt9UwZOp7oiq/tzEO1dyYAFAITPD1x3g2WvJvNS61Hfb5GIxmZ1npzVh1B8/qwr\n9kRjoqwFLCuCLKeGypxOS2acmGmxG3+wgCt8UdrVBe4a46ubikEjaLq+ox2SJOGe276k7zg60vTC\n54dSF9C17xSt4fOr8zf8waxBpHA4gfbroFw4C5w5VVX7P60SLX5ZfhFrVLOBHx8HPrta9OOXnDM1\njyWrRJv6/uxSZC/RvnqoLBiGcjECTE2YeFL5YdBiN4EgcPaf+T3H4Shpddq0mjJm0QjM/us/H0FN\nTS0css7EpFvnRNumFgYtejmcQDiqZuTy3KdMxBqheH3AxyeAq1dKdIImcTp1FZMrhPD6oFx3PfDJ\nh6Xpp7UeNWi4NAeMnUJBw9YZCWDdel2ZWyFJUNatB068D8xn3Pa0eoRjEJn6SnydGrRZZCiVw0M2\nI2o8+ReTMnvYpkyEw5ExJe73ehEN6RxmkGQ17arn9Wo93AMmF28d0NoJbPocRFNL3gHLMuHxqcNF\n1dbekYaSFmIUDidEx4alyeNFunCR5BVlGnzqJo7FXIrc1Jx176W1kqs0S1WLqhK43OqWLhkIhwNo\nybEisoIwaLGjfMf5zVzRU25G32u+Kzgam43PHZCk6qxqGoxArN8EEYoU5YdZyDLEuk4g0V4dNUkk\nqWyFGEVDHOjcYPwCxh9SK3avKdMg6gJqQU2DK6DgD0LU5195WrjcanXgatzYVAh1qCzLexN1Acvs\nRl8Fn1zKW75BSzVfgawlG3yveibhriDcNcb2WQpFgA09alVTq0+cXMnpBJrXleTQIhIDurqtXy8n\nFCnr5PXk5OZCJv06XUB7lzphWiPAFu4aNXApdPK0y20oYyBqPdVZq6axWc005hJvscTFD4MWO8q3\nOq5NhocAFCHTUsAPYUNz/lf+Pr+aXm/thHC51S/8WFP+r12pWjpLWrNH1KjbXpi2ZUQxlGACbi7J\nsv+6sxlL+6Ft7FHrwOR6tCyrGznmmy1ZziYY7DPCH7TkihpNy8ubdRCSrA7FVnjQZqO8Py0TkgSl\nzg/MTOl7gp2CFqNZpQLmXAinE0q0ETivo2aEuwaIt2T+AWhoAqYnrD/ZNNqYsbZGsQlJBhLtUHx+\n4J8ngYWFkr9m0dQFIEzKFAkhgKaEOrn5kw+163x4fECiTc1gFHL82lrg1EfA4mLuJzW16Msm6Hn9\nyFINFz2fRyNkh/p5Tv7nBuZmgYnzRTq+rG8F1QrC64NS31T6924Agxa78ofyCFps1E2MDg8VkmkB\n1KvRiXPaP5wOpzr/JRzT/BISkgyluRX46IPCzqES1NSWvYaNCEag1PqA48eAa9ZYQYFY+bMsawl/\nEMqGG9Rl0ZdWlFGQZXVlXJa+quv4wQgUVw1w8oPsy66DYXUybxGJpoQauEwbXAosyWowshyYuFJB\nSsasUDACxR9UgzWjfXHN8mbdGuLA7DTw6WVjr18iNvo1olX8AeiujmurTIvR4aECV7c4HFDq42o9\nkZUkSR0GqG9SU+e5juMPQfGHgIs6A9JKIpZKrpswSVa43VBaO4AP/1H2185bTW3FlAkQTheUzk3q\nkuWrl9XVWfFW3Svoch7f41WXXZ/8YHVgtMzlVidWl0JLuxosXZrNfL8kqd+NTtfSf0v/73ACLhdc\nTXGIixrPzSIZDJ46WfjnWGt5s57XlyT1s/B/71VkbSMGLTYlHE4oXm/mL4K17BS0GMm0OF3GdqiO\nNgDjZ5fqJQh1km1TIv+rpeZWYG5GX1q9kjQm8h5KKCZRF1hKjZ8p7Qs1JdR+NnGusKtZE+ayZCOE\nAJpb4aqrg5jN/0c65/EdTigdG4Gxj4GJC6k7JAlo69IVzBf0upIEpa1LHSpxOADH6uAk1+uqE44L\naw+1MGIXlIkL6vvO57OcZXmz7tev8UBpTKRfRFUABi125g/qC1rstHrISKbF6IZ1kgSlIaGmpOOt\nBf+AC5dbzdrkW0TQTN66ihjyQGNCnVdQqn2hQtHUktxIDMrlS8DkeWBqEljUMadGdmjv+m4y4XYD\nJQhagKVd6hPtUGq9wOmP1QxAfF3Jg1zhcKg1ZUwiIjEovjp17pCePqljebNusUY106PnN6KMuHrI\nzvQuLWSmRZ8iTIwUkRhE50bjX8axRuM1L8pFloHWjpJWXdZLLA1RFa3Q2Uq13rSVKcLjhUi0A92f\nV+/L9e8erTdl+KxSiEi9unop2qguXbcB4a4B1m9a2kcpx2dE7/JmPa8rBNDSWXG1a+zb+0lfdVy5\ntCX8K46RAK2CggQhSUBzm9mnoU98nWbtDjMIdwnmSTjVdL9WwCFkGSJSD3HdDepS7HAs/cdCCCBi\n8k7oFUD4/BAGhz+sRgihbvC4fpP2d3Yey5t1v67bbWqmKRMGLXaXq3aCnVYOAcbebwUFLQDUZcOV\nXrY+GIYIV95OuyIYLl4NFyGAdV265yYJjw+iJUP2JRgp2gR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['rmag_aperture20'], orig_hsc['rmag_aperture57'], stellarities['r'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 19.5 and 20.5." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for r band:\n", "Correction: -0.11204338073730469\n", "Number of source used: 606\n", "RMS: 0.012112590040337011\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['r'], num, std = aperture_correction(\n", " orig_hsc['rmag_aperture20'], orig_hsc['rmag_aperture57'], \n", " stellarities['r'],\n", " mag_min=19.5, mag_max=20.5)\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.c - i band" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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jdL7U60gSwwK6RdWnTx8cx3/KLbfcwpo1a/jiiy+44447QhJOREQihzGGpNsG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\nIyIiIoXO/wE+JXJn44CuxAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['i'], stellarities['i'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 57 as target." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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t3d/wa3ZQalIiJVdcTskVl6OU4vCJE7yz/VPe+ehj3qz8Jy+/+XcA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\nzZsxmUzcfvvtzJkzx5+iGscgtjlo7+z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['imag_aperture20'], orig_hsc['imag_aperture57'], stellarities['i'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 18.5 and 19.8." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for i band:\n", "Correction: -0.06093025207519531\n", "Number of source used: 831\n", "RMS: 0.007157356612245586\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['i'], num, std = aperture_correction(\n", " orig_hsc['imag_aperture20'], orig_hsc['imag_aperture57'], \n", " stellarities['i'],\n", " mag_min=18.5, mag_max=19.8)\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.d - z band" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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lEhEJCNP8ApwGSbgLHsQunIH71aeYG+7ERFb1OpqInCC/VjLeu3cvHTt2VLkR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"text/plain": [ "" ] }, "metadata": {}, "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 57 as target." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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FzP7KKvYf1QKU/VVHOVB1jKYBy/1joyKZnpHBxWctYEZmBtmFC4mMjAxYu9zhU9DS3t7O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\nYkF+HjabjU/27ffL45fv2UuyyUTGhFN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['zmag_aperture20'], orig_hsc['zmag_aperture57'], stellarities['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17.5 and 18.8." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for z band:\n", "Correction: -0.1141510009765625\n", "Number of source used: 333\n", "RMS: 0.00688200402082919\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['z'], num, std = aperture_correction(\n", " orig_hsc['zmag_aperture20'], orig_hsc['zmag_aperture57'], \n", " stellarities['z'],\n", " mag_min=17.5, mag_max=18.8)\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.e - y band" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:850: RuntimeWarning: invalid value encountered in greater\n", " mags = magnitudes[:, stellarity > stel_threshold].copy()\n" ] }, { "data": { "image/png": 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Bf5s3b6Z9+/Yl3zfGUKdOHU4/XXvNiMgfZ846z7/CasY43Kx0nNsyMKc28zqW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_ap_evol(magnitudes['y'], stellarities['y'], labels=apertures)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use aperture 57 as target." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/masterlist.py:903: RuntimeWarning: invalid value encountered in greater\n", " mask = stellarity > .9\n", "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] }, { "data": { "image/png": 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WEiOyg/JNnE2urgI79jiVlFdw++OLWZf+CXeljObNJxYQGhRoeeOISMv3BwQy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\nClo7fcvweNYmA5/OnfI7QsLAW65riM5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_plot_mag_vs_apcor(orig_hsc['ymag_aperture20'], orig_hsc['ymag_aperture57'], stellarities['y'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use magnitudes between 17.6 and 18.7." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aperture correction for y band:\n", "Correction: -0.15555763244628906\n", "Number of source used: 334\n", "RMS: 0.015017790515423833\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:129: RuntimeWarning: invalid value encountered in greater\n", " mask &= (stellarity > 0.9)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:131: RuntimeWarning: invalid value encountered in greater_equal\n", " mask &= (mag >= mag_min)\n", "/opt/herschelhelp_internal/herschelhelp_internal/utils.py:133: RuntimeWarning: invalid value encountered in less_equal\n", " mask &= (mag <= mag_max)\n" ] } ], "source": [ "# Aperture correction\n", "mag_corr['y'], num, std = aperture_correction(\n", " orig_hsc['ymag_aperture20'], orig_hsc['ymag_aperture57'], \n", " stellarities['y'],\n", " mag_min=17.6, mag_max=18.7)\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))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Stellarity\n", "\n", "HSC does not provide a 0 to 1 stellarity value but a 0/1 extended flag in each band. We are using the same method as UKIDSS ([cf this page](http://wsa.roe.ac.uk/www/gloss_p.html#dxssource_pstar)) to compute a stellarity based on the class in each band:\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": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# We are creating an array containing the extended flag in all band.\n", "# Some sources have no flag in some band, there will be NaN in the array.\n", "hsc_ext_flag = np.array([\n", " orig_hsc[colname] for colname in \n", " ['gclassification_extendedness',\n", " 'rclassification_extendedness',\n", " 'iclassification_extendedness',\n", " 'zclassification_extendedness',\n", " 'yclassification_extendedness']\n", "])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "hsc_pstar = 0.9 * (hsc_ext_flag == 0) + 0.05 * (hsc_ext_flag == 1)\n", "hsc_pgal = 0.05 * (hsc_ext_flag == 0) + 0.9 * (hsc_ext_flag == 1)\n", "\n", "# We put back the NaN values\n", "hsc_pstar[np.isnan(hsc_ext_flag)] = np.nan\n", "hsc_pgal[np.isnan(hsc_ext_flag)] = np.nan" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "stellarity = np.nanprod(hsc_pstar, axis=0) / np.nansum(\n", " [np.nanprod(hsc_pgal, axis=0), np.nanprod(hsc_pstar, axis=0)], axis=0)\n", "\n", "stellarity = np.round(stellarity, 3)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vis.hist(stellarity, bins='scott');" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "orig_hsc.add_column(Column(data=stellarity, name=\"stellarity\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## II - Column selection" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "imported_columns = OrderedDict({\n", " \"object_id\": \"hsc_id\",\n", " \"ra\": \"hsc_ra\",\n", " \"dec\": \"hsc_dec\",\n", " \"gmag_aperture20\": \"m_ap_suprime_g\",\n", " \"gmag_aperture20_err\": \"merr_ap_suprime_g\",\n", " \"gmag_kron\": \"m_suprime_g\",\n", " \"gmag_kron_err\": \"merr_suprime_g\",\n", " \"rmag_aperture20\": \"m_ap_suprime_r\",\n", " \"rmag_aperture20_err\": \"merr_ap_suprime_r\",\n", " \"rmag_kron\": \"m_suprime_r\",\n", " \"rmag_kron_err\": \"merr_suprime_r\",\n", " \"imag_aperture20\": \"m_ap_suprime_i\",\n", " \"imag_aperture20_err\": \"merr_ap_suprime_i\",\n", " \"imag_kron\": \"m_suprime_i\",\n", " \"imag_kron_err\": \"merr_suprime_i\",\n", " \"zmag_aperture20\": \"m_ap_suprime_z\",\n", " \"zmag_aperture20_err\": \"merr_ap_suprime_z\",\n", " \"zmag_kron\": \"m_suprime_z\",\n", " \"zmag_kron_err\": \"merr_suprime_z\",\n", " \"ymag_aperture20\": \"m_ap_suprime_y\",\n", " \"ymag_aperture20_err\": \"merr_ap_suprime_y\",\n", " \"ymag_kron\": \"m_suprime_y\",\n", " \"ymag_kron_err\": \"merr_suprime_y\",\n", " \"stellarity\": \"hsc_stellarity\"\n", " })\n", "\n", "\n", "catalogue = orig_hsc[list(imported_columns)]\n", "for column in imported_columns:\n", " catalogue[column].name = imported_columns[column]\n", "\n", "epoch = 2017\n", "\n", "# Clean table metadata\n", "catalogue.meta = None" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Aperture correction\n", "for band in bands:\n", " catalogue[\"m_ap_suprime_{}\".format(band)] += mag_corr[band]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Adding flux and band-flag columns\n", "for col in catalogue.colnames:\n", " if col.startswith('m_'):\n", " \n", " errcol = \"merr{}\".format(col[1:])\n", " \n", " #Some inf and 99. mags\n", " mask = (catalogue[col] > 90.) | (catalogue[errcol] > 90.)\n", " catalogue[col][mask] = np.nan\n", " catalogue[errcol][mask] = np.nan\n", " \n", " flux, error = mag_to_flux(np.array(catalogue[col]), np.array(catalogue[errcol]))\n", " \n", " # Fluxes are added in µJy\n", " catalogue.add_column(Column(flux * 1.e6, name=\"f{}\".format(col[1:])))\n", " catalogue.add_column(Column(error * 1.e6, name=\"f{}\".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", "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<Table masked=True length=10>\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
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\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 29, "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": 30, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/envs/herschelhelp_internal/lib/python3.6/site-packages/astropy/table/column.py:1096: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n", "Check the NumPy 1.11 release notes for more information.\n", " ma.MaskedArray.__setitem__(self, index, value)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The initial catalogue had 444602 sources.\n", "The cleaned catalogue has 444573 sources (29 removed).\n", "The cleaned catalogue has 29 sources flagged as having been cleaned\n" ] } ], "source": [ "SORT_COLS = [\n", " 'merr_ap_suprime_i', 'merr_ap_suprime_r', 'merr_ap_suprime_z',\n", " 'merr_ap_suprime_y', 'merr_ap_suprime_g']\n", "FLAG_NAME = 'hsc_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": 31, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_EGS.fits\")\n", "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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GJC/A1R9dlSoNVrFNGsxhO14/FODUyehgFjw1AEA13d3+RNKx5gvGSD+p0OCv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rHzzz9ffv/735dSFqcxa29vlwsWLOjHadWqVSk/1nH88z//szz//PNTjm3cuFGecMIJsqWlRe7Y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\nO6a+vh5+v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Kba1zLQpaB02D5Dk4h/bK60seJ94X0rufSHwQOXwLMzlAjx7Q2BrJMmz/Fq49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7IrcMNP3/NGtMsJL4+P317S+fvNhWW2KTZLltLR47meTKALYCpzkojmfaYdzqthPRzL/vBSyX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\nl633K1iymzHczwv1VAMdD8xt5US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"text/plain": [ "" ] }, "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": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RA correction: -0.03406401734764586 arcsec\n", "Dec correction: -0.03037861431209876 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": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue[RA_COL] += delta_ra.to(u.deg)\n", "catalogue[DEC_COL] += delta_dec.to(u.deg)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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bp1HuIVhag478ZtomDfr9mGnbaD+ERYcZPR4P7r77bqxduxbNzc048sgj8dvf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ST/J7VLItqqej44sMb83sd67iQCy1Fcax7a+siJV9dwlS4hL6PXSaWmlKvR2r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\nuxUyTK9gg4A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"text/plain": [ "" ] }, "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": 36, "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": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2264 sources flagged.\n" ] } ], "source": [ "GAIA_FLAG_NAME = \"hsc_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": 38, "metadata": { "collapsed": true }, "outputs": [], "source": [ "catalogue.write(\"{}/HSC.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 }