{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Accessing Truth Catalog Information\n", "\n", "**Owner:** Scott Daniel (@danielsf)\n", "\n", "**Last Run:** 2018-10-17 (by @yymao)\n", "\n", "**Learning Objectives:** We have implemented a catalog containing truth information for DC2 Run 1.1 and 1.2. This notebook will introduce the contents of that notebook as well as how to query them.\n", "\n", "**Note:** Currently, the truth catalog only contains static sources. We still need to design a way to efficiently deliver light curves for all of the transient and variable sources in DC2. Galaxies with time-varying AGN and variable stars in this catalog report a magntiude which is the baseline magnitude on top of which the variability model is applied.\n", "\n", "To run this notebook, follow the instructions to setup Jupyter-dev at NERSC: https://confluence.slac.stanford.edu/x/1_ubDQ" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# import packages and methods that will be used in this notebook\n", "\n", "import healpy\n", "import numpy as np\n", "import GCRCatalogs\n", "from astropy.coordinates import SkyCoord\n", "import matplotlib\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, load the catalog." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "truth_catalog = GCRCatalogs.load_catalog('dc2_truth_run1.2_static')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can list the quantities contained in the catalog using the same API as any other GCR-based catalog." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['mag_true_i',\n", " 'agn',\n", " 'redshift',\n", " 'g',\n", " 'y',\n", " 'r',\n", " 'z',\n", " 'u',\n", " 'i',\n", " 'mag_true_u',\n", " 'healpix_2048',\n", " 'ra',\n", " 'mag_true_g',\n", " 'sprinkled',\n", " 'dec',\n", " 'mag_true_z',\n", " 'star',\n", " 'mag_true_y',\n", " 'mag_true_r',\n", " 'object_id']" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "truth_catalog.list_all_quantities(include_native=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `get_quantity_info` method will give you access to descriptions of all of the native quantities in the catalog. Note that the quantities `ugrizy` map directly to `mag_true_[ugrizy]'." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "object_id {'description': 'an int uniquely identifying objects (can collide between stars, galaxies, and sprinkled objects)'}\n", "ra {'description': 'in degrees'}\n", "dec {'description': 'in degrees'}\n", "redshift {'description': 'cosmological only'}\n", "healpix_2048 {'description': 'healpixel containing the object (nside=2048; nested)'}\n", "agn {'description': 'an int; ==1 if galaxy has an AGN; ==0 if not'}\n", "star {'description': 'an int; ==1 if a star; ==0 if not'}\n", "sprinkled {'description': 'an int; ==1 if object added by the sprinkler; ==0 if not'}\n", "u {'description': 'observed lsst u magnitude; no dust extinction at all'}\n", "g {'description': 'observed lsst g magnitude; no dust extinction at all'}\n", "r {'description': 'observed lsst r magnitude; no dust extinction at all'}\n", "i {'description': 'observed lsst i magnitude; no dust extinction at all'}\n", "z {'description': 'observed lsst z magnitude; no dust extinction at all'}\n", "y {'description': 'observed lsst y magnitude; no dust extinction at all'}\n" ] } ], "source": [ "for qty in ['object_id', 'ra', 'dec', 'redshift', 'healpix_2048',\n", " 'agn', 'star', 'sprinkled',\n", " 'u', 'g', 'r', 'i', 'z', 'y']:\n", " info_dict = truth_catalog.get_quantity_info(qty)\n", " print(qty,info_dict)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the cells below, we will query the catalog for all of the bright stars and galaxies in a 0.2 degree disc centered on `RA=54.6`, `Dec=-28.0`.\n", "\n", "In the next cell, will define some methods (`filter_on_healpix` and `filter_on_dist`) needed to make that selection. These methods will be passed into the catalog's `get_quantities` method with the `filters` kwarg. The methods should accept numpy arrays and return a numpy array of booleans indicating whether or not each object in the input arrays passed the test.\n", "\n", "We will use `healpy`'s `query_disc` method to find which healpixels overlap our region of interest." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "center_ra = 54.6\n", "center_dec = -28.0\n", "radius = 0.2\n", "\n", "center_ra_rad = np.radians(center_ra)\n", "center_dec_rad = np.radians(center_dec)\n", "\n", "center_vec = np.array([np.cos(center_dec_rad)*np.cos(center_ra_rad),\n", " np.cos(center_dec_rad)*np.sin(center_ra_rad),\n", " np.sin(center_dec_rad)])\n", "\n", "list_of_healpix = healpy.query_disc(2048, center_vec, np.radians(radius), nest=True, inclusive=True)\n", "\n", "def filter_on_healpix(hp):\n", " return np.array([hh in list_of_healpix for hh in hp])\n", "\n", "def angularSeparation(ra, dec, center_ra, center_dec):\n", " return SkyCoord(ra, dec, unit='deg').separation(SkyCoord(center_ra, center_dec, unit='deg')).deg\n", "\n", "def filter_on_dist(ra, dec):\n", " return angularSeparation(ra, dec, center_ra, center_dec) < radius" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will query the catalog or all stars (`star==1`) in the region of interest with magnitude `r<17.0`. This query functions like any other GRC-based catalog query with one exception. The truth catalog is ultimately stored as a sqlite database. This means that all `native_filters` (filters applied directly to the catalog's native quantities), should be phrased as strings which could be inserted into an SQL `WHERE` clause. Because the `native_filters` are applied when the quantities loaded into memory (as opposed to `filters`, which are applied after the quantities have been loaded), we want these to be as restrictive as possible so as to limit the memory consumption of the loaded catalog. The sqlite databases are indexed on `star`, `agn`, `sprinkled`, `healpix_2048` and `object_id`.\n", "\n", "**Note:** We are aware that `nside==2048` healpixels may be too fine a resolution to helpfully limit the catalog query. We are open to the idea of using a coarser resolution in future truth catalogs.\n", "\n", "After the coarse spatial limits applied by the `native_filter` on `healpix_2048`, we use the `filter_on_healpix` and `filter_on_dist` methods to actually get sources in our region of interest." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "bright_stars = truth_catalog.get_quantities(['ra', 'dec', 'mag_true_r'],\n", " native_filters=['star==1',\n", " 'r<17.0',\n", " 'healpix_2048<=%d' % list_of_healpix.max(),\n", " 'healpix_2048>=%d' % list_of_healpix.min()],\n", " filters=[(filter_on_healpix, 'healpix_2048'),\n", " (filter_on_dist, 'ra', 'dec')])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 358, "width": 545 } }, "output_type": "display_data" } ], "source": [ "plt.scatter(bright_stars['ra'], bright_stars['dec'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will performa similar spatial query for galaxies (`star==0`) which were not added by the sprinkler (`sprinkled==1`) with magnitudes `r<21`.\n", "\n", "***Note:** \"the sprinkler\" is a piece of code used to add an extra population of AGN and supernovae into the Utral Deep Drilling Field of DC2. Objects added by the sprinkler will have no counterpart in the underlying protoDC2 extragalactic catalog, which is why we have added a `sprinkled` flag to the catalog." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "bright_unsprinkled_galaxies = truth_catalog.get_quantities(['ra', 'dec', 'mag_true_r'],\n", " native_filters=['star==0', 'sprinkled==0',\n", " 'r<21.0',\n", " 'healpix_2048<=%d' % list_of_healpix.max(),\n", " 'healpix_2048>=%d' % list_of_healpix.min()],\n", " filters=[(filter_on_healpix, 'healpix_2048'),\n", " (filter_on_dist, 'ra', 'dec')])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 358, "width": 545 } }, "output_type": "display_data" } ], "source": [ "plt.scatter(bright_unsprinkled_galaxies['ra'], bright_unsprinkled_galaxies['dec'])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "15.333934208424253\n" ] } ], "source": [ "print(bright_unsprinkled_galaxies['mag_true_r'].min())" ] } ], "metadata": { "kernelspec": { "display_name": "desc-python", "language": "python", "name": "desc-python" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }