{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SGP"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SGP Photometric Redshifts - V1 (20180502)\n",
    "\n",
    "SGP/master_catalogue_sgp_20180221_photoz_20180502_r_optimised.fits'\n",
    "\n",
    "## Key information\n",
    "\n",
    "#### Masterlist used:\n",
    "dmu1/dmu1_ml_SGP/data/master_catalogue_sgp_20180221.fits\n",
    "\n",
    "#### Spectroscopic redshift sample used:\n",
    "dmu23/dmu23_SGP/data/SGP-specz-ver2.0.csv  \n",
    "\n",
    "#### Templates used:\n",
    "\n",
    "- EAZY Default\n",
    "- Atlas of Galaxy SEDs (Brown et al. 2014)\n",
    "- XMM-COSMOS Template library\n",
    "\n",
    "#### Filters used:\n",
    "\n",
    "| Telescope / Instrument | Filter         | Available | Used |\n",
    "|------------------------|----------------|-----------|------|\n",
    "| VST/OmegaCam           | omegacam_u     | Yes    | Yes   |\n",
    "| VST/OmegaCam           | omegacam_g     | Yes    | Yes   |\n",
    "| VST/OmegaCam           | omegacam_r     | Yes    | Yes   |\n",
    "| VST/OmegaCam           | omegacam_i     | Yes    | Yes   |\n",
    "| CTIO/DECAM             | degam_g        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | degam_r        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | degam_i        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | degam_z        | Yes    | Yes   |\n",
    "| CTIO/DECAM             | degam_y        | Yes    | Yes   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_g         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_r         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_i         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_z         | Yes    | No   |\n",
    "| Pan-STARRS1/Pan-STARRS1| gpc1_y         | Yes    | No   |\n",
    "| VISTA/VIRCAM           | vircam_z       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_y       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_j       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_h       | Yes    | Yes   |\n",
    "| VISTA/VIRCAM           | vircam_k       | Yes    | Yes   |\n",
    "\n",
    "\n",
    "#### Additional Machine Learning Estimates\n",
    "\n",
    "For the main galaxy population, three additional Gaussian Process machine learning estimates were also incorporated into the Bayesian combination estimates. These were training using the combined spectroscopic sample of SGP with the addition of extra redshifts from three GAMA fields - with cost-sensitive learning weights calibrated specifically for the SGP field.\n",
    "The three sets of filters used were:\n",
    "- OmegaCam u,g,r,i\n",
    "- DECAM g,r,i,z,y\n",
    "- OmegaCam g,r,i + VISTA/VIRCAM J and Ks\n",
    "\n",
    "\n",
    "#### Additional selections applied:\n",
    " - In order to have a fully calibrated redshift estimate, sources must have a magnitude measurement in either any of the optical r-bands.\n",
    " - Sources must also be detected in 4 bands at different wavelengths for a redshift to have been estimated (i.e. multiple r-band detections count only as one). Multiple detections in similar optical bands do not count due to the issues described below.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plots for diagnostics and quality checking   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import properscoring as ps\n",
    "from astropy.table import Table\n",
    "from scipy.stats import ks_2samp\n",
    "import h5py as h\n",
    "import matplotlib as mpl\n",
    "import corner\n",
    "\n",
    "from astropy.convolution import Gaussian1DKernel, convolve\n",
    "\n",
    "def pz2d_stack(pz, zspec, zgrid, smooth=3):\n",
    "    \"\"\" Build a 2D stack of the photometric redshift P(z) predictions\n",
    "    \n",
    "    Inputs\n",
    "    ------\n",
    "    \n",
    "    pz : 2D array, (N x M)\n",
    "        Photo-z PDF array of N sources with M redshift steps\n",
    "    zspec : array, len(N)\n",
    "        Corresponding spectroscopic redshifts for the N sources\n",
    "    zgrid : array, len(M)\n",
    "        Redshift grid on which the redshift PDFs are samples\n",
    "    smooth : int\n",
    "        Number of redshift bins along which to smooth the stacked PDF\n",
    "    \n",
    "    \"\"\"\n",
    "    kernel = Gaussian1DKernel(smooth)\n",
    "    photoz_stack = np.zeros((len(zgrid), len(zgrid)))\n",
    "\n",
    "    for iz, z in enumerate(zspec):\n",
    "        znearest = np.argmin(np.abs(z - zgrid))\n",
    "\n",
    "        # Axis 0 = zspec, axis 1 = photoz\n",
    "        pdf = pz[iz, :]\n",
    "        pdf[np.isnan(pdf)] = 0.\n",
    "        pdf[np.isinf(pdf)] = 0.\n",
    "\n",
    "        #print('{0} {1}'.format(z, zgrid[znearest]))\n",
    "        photoz_stack[znearest,:] += pdf\n",
    "    \n",
    "\n",
    "    photoz_stack /= np.trapz(photoz_stack, zgrid, axis=1)[:, None]\n",
    "    photoz_stack[np.isnan(photoz_stack)] = 0.\n",
    "\n",
    "    photoz_stack_smoothed = np.zeros((len(zgrid), len(zgrid)))\n",
    "    for i in range(len(photoz_zgrid)):\n",
    "        photoz_stack_smoothed[:,i] = convolve(photoz_stack[:,i], kernel)\n",
    "    \n",
    "    return photoz_stack_smoothed.T\n",
    "\n",
    "def calcStats(photoz, specz):\n",
    "    pzgood = (photoz >= 0.)\n",
    "    szgood = (specz >= 0.)\n",
    "    cut = np.logical_and(pzgood, szgood)\n",
    "    \n",
    "    pc_pzbad = (len(photoz) - float(pzgood.sum())) / len(photoz)*100.\n",
    "\n",
    "    photoz = photoz[cut]\n",
    "    specz = specz[cut]\n",
    "    \n",
    "    dz = photoz - specz\n",
    "    \n",
    "    sigma_all = np.sqrt( np.sum((dz/(1+specz))**2) / float(len(dz)))\n",
    "    nmad = 1.48 * np.median( np.abs((dz - np.median(dz)) / (1+specz)))\n",
    "    #nmad = 1.48 * np.median( np.abs(dz) / (1+specz))\n",
    "    bias = np.median(dz/(1+specz))\n",
    "    \n",
    "    ol1 = (np.abs(dz)/(1+specz) > 0.2 )\n",
    "    OLF1 = np.sum( ol1 ) / float(len(dz))\n",
    "    sigma_ol1 = np.sqrt( np.sum((dz[np.invert(ol1)]/(1+specz[np.invert(ol1)]))**2) / float(len(dz[np.invert(ol1)])))\n",
    "    \n",
    "    ol2 = (np.abs(dz)/(1+specz) > 5*nmad )\n",
    "    OLF2 = np.sum( ol2 ) / float(len(dz))\n",
    "    sigma_ol2 = np.sqrt( np.sum((dz[np.invert(ol2)]/(1+specz[np.invert(ol2)]))**2) / float(len(dz[np.invert(ol2)])))\n",
    "    KSscore = ks_2samp(specz, photoz)[0]\n",
    "    \n",
    "    #print('Sigma_all: {0:.3f}'.format(sigma_all))\n",
    "    #print('Sigma_NMAD: {0:.3f}'.format(nmad))\n",
    "    #print('Bias: {0:.3f}'.format(bias))\n",
    "    \n",
    "    #print('OLF: Def1 = {0:.3f} Def2 = {1:0.3f}'.format(OLF1, OLF2))\n",
    "    #print('Sigma_OL: Def 1 = {0:.3f} Def2 = {1:0.3f}'.format(sigma_ol1, sigma_ol2))\n",
    "    #print('KS: {0:.3f}'.format(KSscore))\n",
    "\n",
    "    return [sigma_all, nmad, bias, OLF1, sigma_ol1, OLF2, sigma_ol2, KSscore, pc_pzbad]\n",
    "\n",
    "def calc_HPDciv(pz, zgrid, specz, dz = 0.005):\n",
    "    dz = np.diff(zgrid[:2])\n",
    "\n",
    "    i_zspec = np.argmin((np.abs(specz[:,None] - zgrid[None,:])), axis=1)\n",
    "    pz_s = pz[np.arange(len(i_zspec)), i_zspec]\n",
    "    mask = (pz < pz_s[:, None])\n",
    "    ipz_masked = np.copy(pz)\n",
    "    ipz_masked[mask] *= 0.\n",
    "\n",
    "    CI = np.trapz(ipz_masked, zgrid, axis=1) / np.trapz(pz, zgrid, axis=1)\n",
    "\n",
    "    return CI\n",
    "\n",
    "def calc_ci_dist(pz, zgrid, specz):\n",
    "    ci_pdf = calc_HPDciv(pz, zgrid, specz)\n",
    "    nbins = 100\n",
    "    hist, bin_edges = np.histogram(ci_pdf, bins=nbins, range=(0,1), normed=True)\n",
    "    cumhist = np.cumsum(hist)/nbins\n",
    "    bin_max = 0.5*(bin_edges[:-1]+bin_edges[1:])\n",
    "    \n",
    "    return cumhist, bin_max\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/astropy/table/column.py:954: RuntimeWarning: invalid value encountered in greater_equal\n",
      "  return getattr(self.data, op)(other)\n"
     ]
    }
   ],
   "source": [
    "photometry = Table.read('master_catalogue_sgp_20180221_processed.fits.mod')\n",
    "photoz = Table.read('full/photoz_all_merged.fits')\n",
    "\n",
    "best = np.abs(np.array([photoz['chi_r_eazy'], photoz['chi_r_atlas'],photoz['chi_r_cosmos']])).min(0)\n",
    "good = np.logical_and(best != 99., photoz['chi_r_stellar'] > 0.)\n",
    "\n",
    "z_spec = photometry['z_spec']\n",
    "AGN = photometry['AGN']\n",
    "\n",
    "zs_gal = np.logical_and(z_spec >= 0, AGN == 0)\n",
    "zs_agn = np.logical_and(z_spec >= 0, AGN == 1)\n",
    "\n",
    "photoz_hdf = h.File('full/pz_all_hb.hdf', mode='r')\n",
    "#photoz_hdf = h.File('../XMM-LSS/full/pz_all_hb.hdf', mode='r')\n",
    "photoz_pdf = photoz_hdf['Pz']\n",
    "photoz_zgrid = photoz_hdf['zgrid'][:]\n",
    "\n",
    "#photometry = Table.read('../XMM-LSS/xmm-lss_processed.fits')\n",
    "#photoz = Table.read('../XMM-LSS/full/photoz_all_merged.fits')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $\\chi^{2}$ Properties\n",
    "\n",
    "#### Distribution of normalised $\\chi^{2}$ \n",
    "Due to the number of filters used per source varying between template sets and between sources themselves, in the following plots we use a normalised  $\\chi^{2}$ defined as $\\chi^{2}_{\\rm{r}} = \\chi^{2} / (N_{\\rm{filt}}-1)$. However we note this is not the formal reduced $\\chi^{2}$ and therefore should not necessarily be used to judge the goodness-of-fit for individual sources."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31792b31d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(1)\n",
    "Ax.hist(np.log10(photoz['chi_r_eazy'][good]), bins=100, range=(-3,2.5), histtype='step', label='EAZY')\n",
    "Ax.hist(np.log10(photoz['chi_r_atlas'][good]), bins=100, range=(-3,2.5), histtype='step', label='Atlas')\n",
    "Ax.hist(np.log10(photoz['chi_r_cosmos'][good]), bins=100, range=(-3,2.5), histtype='step', label='XMM-COSMOS')\n",
    "#Ax.hist(np.log10(photoz['chi_r_stellar']), bins=100, range=(-3,2.5), histtype='step')\n",
    "\n",
    "\n",
    "Leg = Ax.legend(loc='upper right', prop={'size':10}, frameon=False)\n",
    "Ax.set_xlabel(r'$\\log_{10}\\chi^{2}_{\\rm{r}}$')\n",
    "Ax.set_ylabel('N')\n",
    "Ax.set_xlim([-2, 2.5])\n",
    "Fig.savefig('plots/dmu24_SGP_chi2_distributions.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Galaxy/AGN vs stellar templates - $\\chi^{2}$ \n",
    "\n",
    "We now plot the distribution of 'Best' normalised $\\chi^{2}$ from the Galaxy/AGN template libraries vs the normalised $\\chi^{2}$ from fits to the Pickles library of stellar templates. Sources are split by apparent optical magnitude with the relative number of sources indicated in each panel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:11: RuntimeWarning: invalid value encountered in log10\n",
      "  # This is added back by InteractiveShellApp.init_path()\n"
     ]
    },
    {
     "data": {
      "image/png": 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OJUxVVSNA5OL/C4qinAWGgLtmcV4PulOocPkotNtjsptgRbpJjM8Su1yxw63V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BaYzWaYzWZOtuS4Eo1GUVd4C49eBshkwHV/UODnL6ogiptgNBqxbds2PPbYY/ja176Gnp4e6PV6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xdRJBJykpSXbG9cVEJM1UaU5k/WBQcrr1meBST6PdbvdRrZLuAVC0bakFk9I1aLVaH9a+ROKz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\n53j66adnVJyCiV3LtrY2PvvZz9LW1sbixYsxmUwUCgWKxSJ3330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yOTKZjHRbF/NdnU5H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Qpfze4gv/Ebv8EjjzzC5OQkHR0dfPKTn+Sd73zngr7SZ555hr/7u7/jq1/96gXP/ad/+qd8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bsVgseoi1uLiYuro6SkpK9HIRbQasofUU1FbfoVBI740Zu8JU+yaKQ4WUUv+j1Sl3lHAW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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f318baf4c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3, 2, figsize=(6.5, 10))\n",
    "mag_lims = [16, 18, 20, 22, 24, 26, 28]\n",
    "\n",
    "for im in range(len(mag_lims)-1):\n",
    "    ax = Ax.flatten()[im]\n",
    "    ax.axes.set_aspect('equal')\n",
    "    mag = np.logical_and(photometry['r_any_mag'] >= mag_lims[im], photometry['r_any_mag'] < mag_lims[im+1])\n",
    "\n",
    "    fraction = (np.sum(mag*good) / np.sum(good).astype('float'))\n",
    "    \n",
    "    corner.hist2d(np.log10(best[good*mag]), np.log10(photoz['chi_r_stellar'])[good*mag], ax=ax, bins=50, \n",
    "              plot_datapoints=True, plot_density=True)\n",
    "    ax.plot([-3,3],[-3,3], zorder=10000, color='orange', lw=2, ls='--')\n",
    "\n",
    "    ax.set_xlim([-2, 3])\n",
    "    ax.set_ylim([-2, 3])\n",
    "    \n",
    "    ax.set_title('{0:d} < {1} < {2:d}'.format(mag_lims[im], '$r$',mag_lims[im+1]), size=10)\n",
    "    ax.set_xlabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Star}}$')\n",
    "    ax.set_ylabel(r'$\\log_{10}\\chi^{2}_{\\rm{r, Gal}}$')\n",
    "    ax.text(2.8, -1.8, '{0:.1f}% of sources'.format(fraction*100),\n",
    "            horizontalalignment='right', verticalalignment='bottom')\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_SGP_chi2_galaxy_star_comparison.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "### Photo-z vs Spec-z Visual Comparison\n",
    "  \n",
    "As plots of photo-z vs spec-z are commonly presented in order to allow the visual inspection of the relative precision and biases of photo-z estimates, we provide a version here for reference. However, instead of choosing a single value to represent the photometric redshift (e.g. median or peak of the $P(z)$) we stack the full $P(z)$ of all the sources within each spectroscopic redshift bin."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "photoz_pdf_agn = np.zeros((zs_agn.sum(), photoz_pdf.shape[1]))\n",
    "\n",
    "for i,ia in enumerate(np.where(zs_agn)[0]):\n",
    "    photoz_pdf_agn[i] = photoz_pdf[ia]\n",
    "    \n",
    "\n",
    "photoz_pdf_gal = np.zeros((zs_gal.sum(), photoz_pdf.shape[1]))\n",
    "\n",
    "for i,ia in enumerate(np.where(zs_gal)[0]):\n",
    "    photoz_pdf_gal[i] = photoz_pdf[ia]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:44: RuntimeWarning: invalid value encountered in divide\n"
     ]
    }
   ],
   "source": [
    "pz2d_gal = pz2d_stack(photoz_pdf_gal, z_spec[zs_gal], photoz_zgrid, 5)\n",
    "pz2d_agn = pz2d_stack(photoz_pdf_agn, z_spec[zs_agn], photoz_zgrid, 10)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+G4sxcGAar7w6k6FD+1vCjd7W5mLD+uPcutXMsGEZvLhqWsLK67rdYd/UXgd+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CXPMU64ESIrPyJ9zw/dCrVJWEUtiV0H1ddfrWYAlG2B7yMpN+j4Z9KQzdb+vaPfNXmTJeuc65h6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\nFhH/H24KAmmYeXt2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f30be252690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(1, 2, figsize=(8,4))\n",
    "\n",
    "X, Y = np.meshgrid(photoz_zgrid, photoz_zgrid)\n",
    "\n",
    "Ax[0].pcolormesh(X, Y, pz2d_gal, cmap='magma_r', \n",
    "                 vmin=0, vmax=np.percentile(pz2d_gal, 99.9))\n",
    "\n",
    "#             extent=[photoz_zgrid.min(), photoz_zgrid.max(), \n",
    "#             photoz_zgrid.min(), photoz_zgrid.max()], \n",
    "\n",
    "Ax[1].pcolormesh(X, Y, pz2d_agn, cmap='magma_r', \n",
    "             vmin=0, vmax=np.percentile(pz2d_agn, 99.9))\n",
    "\n",
    "Ax[0].set_title('Galaxies')\n",
    "Ax[1].set_title('AGN')\n",
    "\n",
    "Ax[0].set_xlim([0, 1.5]) #np.ceil(z_spec[zs_gal].max())])\n",
    "Ax[0].set_ylim([0, 1.5]) #np.ceil(z_spec[zs_gal].max())])\n",
    "\n",
    "Ax[1].set_xlim([0, np.ceil(z_spec[zs_agn].max())])\n",
    "Ax[1].set_ylim([0, np.ceil(z_spec[zs_agn].max())])\n",
    "\n",
    "\n",
    "for ax in Ax:\n",
    "    ax.set_xlabel('$z_{spec}$', size=12)\n",
    "    ax.set_ylabel('$z_{phot}$', size=12)\n",
    "\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid, color='0.5', lw=2)\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid + 0.15*(1+photoz_zgrid), color='0.5', ls='--')\n",
    "    ax.plot(photoz_zgrid, photoz_zgrid - 0.15*(1+photoz_zgrid), color='0.5', ls='--')\n",
    "    \n",
    "Fig.savefig('plots/dmu24_SGP_specz_vs_photz_pz.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Photo-z Statistics\n",
    "\n",
    "Metrics for photometric redshift precision and accuracy are defined as in Duncan et al. (2018a, and references therein).\n",
    "\n",
    "| Metric | | Definition |\n",
    "|----------------|-------------|----------------------|\n",
    "|$\\sigma_{f}$ | Scatter - all galaxies | $\\text{rms}(\\Delta z / (1+z_{\\text{spec}}))$ |\n",
    "|$\\sigma_{\\text{NMAD}}$ | Normalised median absolute deviation | $1.48 \\times \\text{median} ( \\left | \\Delta z \\right | / (1+z_{\\text{spec}}))$ |\n",
    "|Bias | | $\\text{median} (\\Delta z )$|\n",
    "|O$_{f}$ | Outlier fraction | Outliers defined as $\\left | \\Delta z \\right | / (1+z_{\\text{spec}}) > 0.2$ |\n",
    "|$\\sigma_{\\text{O}_{f}}$ | Scatter excluding O$_{f}$ outliers |  $ \\text{rms}[\\Delta z / (1+z_{\\text{spec}})]$ |\n",
    "|$\\overline{\\rm{CRPS}}$ | Mean continuous ranked probability score | $\\overline{\\rm{CRPS}} = \\frac{1}{N} \\sum_{i=1}^{N} \\int_{-\\infty}^{+\\infty} [ \\rm{CDF}_{i}(z) -  \\rm{CDF}_{z_{s},i}(z)]^{2} dz$ |\n",
    "\n",
    "\n",
    "#### Quality statistics as a function of redshift\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gal_z_binedges = np.linspace(0, np.percentile(z_spec[zs_gal],99), 15)\n",
    "agn_z_binedges = np.linspace(0, np.ceil(np.percentile(z_spec[zs_agn],99)), 3)\n",
    "\n",
    "gal_z_bins = 0.5*(gal_z_binedges[:-1] + gal_z_binedges[1:])\n",
    "agn_z_bins = 0.5*(agn_z_binedges[:-1] + agn_z_binedges[1:])\n",
    "\n",
    "galaxy_statistics_vs_z = []\n",
    "galaxy_crps_vs_z = []\n",
    "\n",
    "for i, zmin in enumerate(gal_z_binedges[:-1]):\n",
    "    zcut = np.logical_and(z_spec >= zmin, z_spec < gal_z_binedges[i+1])\n",
    "    galaxy_statistics_vs_z.append(calcStats(photoz['z1_median'][zs_gal*zcut], z_spec[zs_gal*zcut]))\n",
    "    \n",
    "    pzs = photoz_pdf[zs_gal*zcut,:]\n",
    "    zs = z_spec[zs_gal*zcut]\n",
    "    galaxy_crps_vs_z.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                         forecasts=photoz_zgrid, \n",
    "                                                         weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "galaxy_statistics_vs_z = np.array(galaxy_statistics_vs_z)\n",
    "    \n",
    "agn_statistics_vs_z = []\n",
    "agn_crps_vs_z = []\n",
    "\n",
    "for i, zmin in enumerate(agn_z_binedges[:-1]):\n",
    "    zcut = np.logical_and(z_spec >= zmin, z_spec < agn_z_binedges[i+1])\n",
    "    agn_statistics_vs_z.append(calcStats(photoz['z1_median'][zs_agn*zcut], z_spec[zs_agn*zcut])) \n",
    "\n",
    "    pzs = photoz_pdf[zs_agn*zcut,:]\n",
    "    zs = z_spec[zs_agn*zcut]\n",
    "    agn_crps_vs_z.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                     forecasts=photoz_zgrid, \n",
    "                                                     weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "agn_statistics_vs_z = np.array(agn_statistics_vs_z)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mdtfOnTvTWpiISLpENYDnARPMbJyZlQBXAZWd2YG7z3H3mf37989IgSIiqQo9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\ncXLCA7DjOE5OeAB2HMfJCQ/AjuM4OfEPXoRRJ7djvMMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f30bc079090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3,1, sharex=True, figsize=(5,8))\n",
    "\n",
    "Ax[0].plot(gal_z_bins, galaxy_statistics_vs_z[:,1], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_z_bins, agn_statistics_vs_z[:,1], color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Ax[1].plot(gal_z_bins, galaxy_statistics_vs_z[:,3], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(agn_z_bins, agn_statistics_vs_z[:,3], color='firebrick', lw=2, label='AGN')\n",
    "Ax[1].set_ylabel(r'$\\rm{OLF}$')\n",
    "\n",
    "Ax[2].plot(gal_z_bins, galaxy_crps_vs_z, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[2].plot(agn_z_bins, agn_crps_vs_z, color='firebrick', lw=2, label='AGN')\n",
    "Ax[2].set_ylabel(r'$\\overline{\\rm{CRPS}}$')\n",
    "\n",
    "Leg = Ax[2].legend(loc='lower right', frameon=False)\n",
    "\n",
    "Ax[2].set_xlim([0, np.ceil(np.percentile(z_spec[zs_agn],99))])\n",
    "Ax[2].set_xlabel('$z_{spec}$', size=12)\n",
    "Tw = Ax[0].twiny()\n",
    "Tw.set_xlim([0, np.ceil(np.percentile(z_spec[zs_agn],99))])\n",
    "Tw.set_xlabel('$z_{spec}$', size=12)\n",
    "Ax[0].set_yscale('log')\n",
    "Ax[0].set_ylim([0.001,1])\n",
    "Ax[1].set_yscale('log')\n",
    "Ax[1].set_ylim([0.001,1])\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_SGP_stats_vs_z.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "#### Quality as a function of optical magnitude"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "zs_gal_mag = np.logical_and(z_spec >= 0, AGN == 0) * (photometry['r_any_mag'] > 0.)\n",
    "zs_agn_mag = np.logical_and(z_spec >= 0, AGN == 1) * (photometry['r_any_mag'] > 0.)\n",
    "\n",
    "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_gal_mag],[1,99.9]), num=15)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][zs_agn_mag],[1,99.9]), num=3)\n",
    "\n",
    "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n",
    "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n",
    "\n",
    "galaxy_statistics_vs_mag = []\n",
    "galaxy_crps_vs_mag = []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    galaxy_statistics_vs_mag.append(calcStats(photoz['z1_median'][zs_gal_mag*mcut], z_spec[zs_gal_mag*mcut]))\n",
    "    \n",
    "    pzs = photoz_pdf[zs_gal_mag*mcut,:]\n",
    "    zs = z_spec[zs_gal_mag*mcut]\n",
    "    galaxy_crps_vs_mag.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                         forecasts=photoz_zgrid, \n",
    "                                                         weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "galaxy_statistics_vs_mag = np.array(galaxy_statistics_vs_mag)\n",
    "\n",
    "agn_statistics_vs_mag = []\n",
    "agn_crps_vs_mag = []\n",
    "\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "    agn_statistics_vs_mag.append(calcStats(photoz['z1_median'][zs_agn_mag*mcut], z_spec[zs_agn_mag*mcut])) \n",
    "\n",
    "    pzs = photoz_pdf[zs_agn_mag*mcut,:]\n",
    "    zs = z_spec[zs_agn_mag*mcut]\n",
    "    agn_crps_vs_mag.append(np.nanmean([ps.crps_ensemble(zs[i], \n",
    "                                                     forecasts=photoz_zgrid, \n",
    "                                                     weights=pzs[i]) for i in range(len(zs))]))\n",
    "    \n",
    "agn_statistics_vs_mag = np.array(agn_statistics_vs_mag)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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QiTF3579/s4EVG/aTk5XBfXcsiFv4nonTjQHPBL4F5BNZA+JXwM/dPfR3Qw5qDLgni5EX\nzJ/f0csdcMEFWoxcJM6eXLmDZ17fSUaace+t85gYp9XNztQphyCiQw+/I7IIzyAia0G0Ae9x94pu\nXxgi8R6C8NZWjrz1Vsdc3BMWI8/IYODMmcdumz57thYjF0mg360r5X8/+wYAn7tpDpdPi/89BmMy\nBmxmTUQWP6/vtO2bwBB3vysmlcZZrAPY3anZtq1jLu7h116j5ejRLm3yzj+/YwxXi5GLBKd4+yG+\ntGwVrW3OP/zNBdy0MDGjqbGaB7yXSM+3vtO2rwCxWAciadRFFyNvH1Y46WLkF11E4UUXUXDhhWQV\nFARUqYi027LvCF/7RTGtbc6tiyYkLHzPxOkC+HHgSTP7u/Y1e4Epca4pcD1ajLx9TYWLLiJn5MiA\nKhWRk9lXUcuXlq2iobmVK2eM5K4rpwZd0kmdLoDvjbZ5y8y2A5XAXCJr8oba2ZyEq1yzhnVf/jLV\nGzZ02Z7Rr1/ktumLFlF40UX0mzxZMxVEQqjNnd+v28sjL2/iSG0T8yYM5p+vnUlaSH9fezoPuB9w\nGVAIvOXuxad5SWicyRhw7c6dvHzllVqMXCQJrd1Zzv/97Ua2HYjcIHba6EHcd8cCcrIS/7sb0wsx\nktmZBLC7U7FqFQNnzdJMBZEksae8hh//biOvbo2cmxmcl82HrjiPd84YGVjPVwEcFbYr4UQkNqrq\nmvh/K7bwfPFuWtuc7D7pvO/iidx04QSy+wQ7tz6ut6UXEQlKU0srz76+k6V/2UZtYwtpBu+eM5q/\nv3wK+f2S6zZaCmARSQruzooN+3nk5U0cOBKZGTtvYiF3XzmV8UPDcWXbmUrZAE7G5ShF5OQ2lFay\n5Lcb2Fh6BICxhf24+13nM39Sct9WS2PAIhJaByrrePjlTazYELm/4cDcTD5w+Xn87exRga3h2xMa\nAxaRpFXT0Myyv2zjmdd30tzaRmZGGjctHM/7Lp4UyLSyeEmdIxGRpNfS2sbzJbv5f3/aQnV9MwBX\nzhjJB684jyED+gZcXewpgEUkUC2tbby1u4KVW8r466YDHKpuAGD6mHz+4arzmTIide8CowAWkYSr\nbWxm9bZDrNxSxqptB6lpaOl4bkR+Dh+58nwuOm9oyl/yrwAWkYQor25g5ZYyVm4pY93OwzS3tnU8\nN7ogl0XnDePCKUOYOnIQ6WmpHbztUjaANQ1NJFjuztsHj7Jycxmvbiljy/6qjueMyFoNi6YMZdF5\nQxlV0DvXzNY0NBGJmda2Nt7cXcHKzZGebtmRY0uJZ2WkMXdCIYvOG8rCyUMYmJu6nSNNQxORhKio\naWDdzgpe21rG69sOUdPQ3PHcwNxMLpwc6eXOHj848DUawkYBLCJn5GBVPW/uOsy63RW8tauC0oqu\nf2GOKsjtGFroTeO5Z0MBLCLdcnf2V9bx5u4K3txVwbrdh7sMKwBk90ln2uhBzBk/mAunDGX04N45\nnns2FMAi0sHd2VNew5u7K1i3q4K3dldQfrShS5vcrAymjcln5ph8ZozNZ9KwAWSkh/ey4DBTAIv0\nYm3u7Dx4lDd3HY70cndXcKS2qUubvL59mDEmn+ljC5g5Jp/xQ/M0rBAjCmCRXsDdKT/awK5DNew6\ndJTd0e+7DtVQ19TSpW1+vyymj8ln5th8ZowpYExhv9DeUy3ZKYBFUki3QVteQ11jy0lfU5iXzcyx\nBcwYm8+MMfmMzM9N+SvQwiJlA1gXYkgqO5ugzevbh7GF/Rlb2I+xhf0ZU9iPcYX9U3o+btjpQgyR\nkGtsbmXnoaPsKKuOfh3l7bJqahW0oaULMUSSjLtTUdPYJWh3lFVTeriGtpP0kxS0yU8BLBKAltY2\ndpfXnBC2VXVNJ7RNM2PM4FwmDstjwtD2r/5JdwNKOZECWCQBmlpaKdlRzsrNZWzdX8Xu8pouq4G1\ny83K6AjZ9sAdW9iPzAxdwpuKFMAicdLY3Mrq7Yf488b9vLbl4AnTvYYPyunSo504NI8hA/pqBkIv\nogAWiaGG5lZWbT0YCd2tB2lobu14btKwPC6eOoxZ4woYN6Q/uVl9AqxUwkABLHKO6ptaeG3rQf6y\ncT+vbztEY6fQnTJ8AJecP5xLzx/GiPzTnhSXXkYBLHIWahubeW1LJHRXbT9EU8ux8dypIwdy6fnD\nueT8YQwbmBNglRJ2CmCRHqppaObVLWX8eeMBircf6nISbdroQVxy/nAumTosJe/eK/GhABY5hX0V\ntazefohV2w5SsqOcluiEXANmjMnn0vOHcfHU4QzO05QwOXMKYJFO6ptaeGPnYVZvP8Tq7YfYX1nX\n8VyawaxxBVx6/jAuOm8YBf0VunJuFMDSq7k7O8qOsnr7IYp3HGL97oqOXi5Av+w+zJ0wmKKJhSyY\nNIRB/XSVmcROygawFuOR7lTVNVGy4xDF28sp3nGIiprGjufSDM4fOZB5EwspmljIlBEDtfatxI0W\n4+lF2typrmvi8NEGyo82cPhoI4ePNnD4aAP1Ta0MHdCXkQW5jCrIZWR+LgNyMlPiooDWtjY27T3S\nMaywdV8Vnf/VF/TPomhiIfMmFDJnwmDy+mYGVqukBi3G08vUNbZ0hGkkYBupqGmgvLqBwzWRsK04\n2tDlz+vTyc3KYGR+biSU83MZkX8snHOzw3sRwZHaRrYfqGbbgWo27zvC2rfLu6wc1ic9jWljBlE0\nsZD5E4cwtrBfSnzQSPJRDzhJ1DY0s7+yjv1H6jhwpI4DlXXsP1JP2ZE6Ko42nnCZa3f69+1DQb9s\nCvKyKeiXxeD+2eT3z6ZvZjoHKusorahlb0UtpYdru11XFiK3Gx/ZKZDbv0bk55KVoFuPt7lzoLKO\n7Qeq2V5WzfYDVWwvq+bw0cYT2o7Mz430cicOZtbYArIz1feQ+OlpD1gBHBItrW0cqm5gf2XngD32\n/Wh98ylfn5WRFg3VbAr6Z1PQ/1i4Du4f2ZbfL6vH4ejuVNU1dYTx3sORYG7/6nzhwfHaQz6/f1an\n71nkd6ojv1/WGS0w09zaxq6DR6NBGwncHQeqT/rB0zczvWMxm0nDBjBzbAHDB+mCCEkcBXBUGAP4\nlc0H2FNec6xHW1nHwaoG2k7x/yKrTzrDB+YwbFAOwwb2ZfigHIYNjHwNzssmNysjYX9Gt7lTXt1w\nLJzbg/lwLQeO1NHaw2GOjt54/yzy24M6GtA5WRnsKa9h24FI0O46dPSkwyf5/bKYOCyPiUPzmDhs\nABOH5TF8UI7uYSaBUgBHhTGAP7bkz2wvq+6yzYDBedldgnX4oEjgDh+Yw8Dc5Dgh1uZOVW0TFdFx\n58M1DVSc5HtFTeMpP3COZ0SGESYMy2PSsGjYDs3TtDAJJQVwVBgD+IlXtnOktrEjbIcPymHIgL69\nas3X44P6+MCuaWhmZEFutGcbWbKxr8ZtJUkogKPCGMAiktp6GsBpiShGREROpAAWEQmIAlhEJCAK\nYBGRgCiARUQCogAWEQmIAlhEJCAKYBGRgCiARUQCogAWEQlIUl1cb2Y3AO8F8oCH3f03AZckInLW\nEtYDNrNHzOygmb113ParzWyzmW0zs8+eah/u/oy73w18FHhfPOsVEYm3hC3GY2aXATXAT9x9enRb\nOrAFuAooBVYBdwDpwAPH7eIudz8Yfd3/AX7m7iWne18txiMiiRa6e8K5+wozG3fc5gXANnffAWBm\ny4Dr3f0B4Jrj92GRBXG/Cbx4qvA1s8XA4va3NrP6cz+ChMsAenafoeShY0oOqXZMQRxP3540CnoM\neCSwp9PjUmDhKdp/AngXMMDMJrn7j07WyN2XAEtiVmUAzGy1uxcFXUcs6ZiSQ6odU5iPJ+gAPiPu\n/j3ge0HXISISC0FPQ9sLjO70eFR0m4hIygs6gFcBk81svJllArcDywOuKSySegilGzqm5JBqxxTa\n40nkLIilwOXAYKAMuNfdHzaz9wDfJTLz4RF3vz8hBYmIBCzl7wknIhJWQQ9BiIj0WgpgEZGAKIBF\nRAKiABYRCYgCWEQkIApgEZGAKIBFRAKiABYRCYgCWEQkIApgEZGAKIBFRAKiABYRCYgCWEQkIApg\nEZGAJNUticwsF/gvoAn4o7v/LOCSRETOWuA9YDN7xMwOmtlbx22/2sw2m9k2M/tsdPNNwJPufjdw\nXcKLFRGJocADGHgUuLrzBjNLBx4C3g1cANxhZhcQuWdc+12UWxNYo4hIzAUewO6+Aqg4bvMCYJu7\n73D3JmAZcD2R29aPirYJvHYRkXMR1jHgkRzr6UIkeBcSuSX9D8zsvcBz3b3YzBYDiwFyc3PnTZ06\nNY6lioh0VVxcXO7uhadrF9YAPil3rwU+1IN2S8xsP3Dt8OHD561evTr+xYmIRJnZrp60C+uf8XuB\n0Z0ej4pu6zF3f87dFw8YMCCmhYmIxEpYe8CrgMlmNp5I8N4O3HkmOzCza4FrJ02aFIfyJFU0lpdT\nuWYNFSUl5Iwezbg7z+ifmcg5CTyAzWwpcDkw2MxKgXvd/WEzuwd4CUgHHnH39WeyX3d/DniuqKjo\n7ljXLMnJW1s5unUrFSUlVBYXU1FSQt3u3R3P5xcVKYAloQIPYHe/o5vtLwAvnO1+1QOW5upqKteu\npbKkhIqSEo688QYtNTVd2qTn5DBw5kzy584lf8GCgCqV3irwAI4X9YB7F3en9u23O8K2sqSEo9u2\ngXuXdjmjRzNozhwGzZ1L/ty59D/vPNIyUvbXQEJO//IkKbXU13Nk3Toqo2FbsWYNzZWVXdqkZWYy\nYNq0SNjOm8egOXPIHjIkoIpFTpSyAawhiNTh7tTv309lcXFHD7d640a8tevFkFmFhR0920Fz5zJg\n2jTSs7ICqlrk9FI2gDUEkbzampqo2rChYyihsqSEhrKyLm0sPb2jd9seun1HjsTMAqpa5MylbABL\n8mgsL+8I24qSEqrefJO2pqYubfoMGNBl7HbgzJlk5OYGVLFIbKRsAGsIIpy8tZXqLVu6nCzrPBWs\nXb9JkzqGEgbNnUu/8eOxtLBeNyRydlI2gDUEEQ7N1dUdFzpUlpRQ+cYbtNbWdmmTnpPDoFmzOsJ2\n0OzZZA4cGFDFIomTsgEsidc+FazjQoc1a6jZuvWEdjmjR3c5WdZ/yhRNBZNeKWX/1WsIIv5a6uo6\npoJVlJRQuWYNzUeOdGmTlpnJgOnTuwwnZBeedpEokVBobXNqG5vJ65sZl/2nbABrCCK23J36ffs6\nLuGtLCmhetOmE6eCDRnSEbb5c+eSd8EFmgomSamxuZUHn1nLgco6/vcHLiQ3q0/M3yNlA1jOTWtj\nI9WdpoJVlJTQePBglzadp4Llz53LoHnz6DtihKaCSdKrrm/iKz9fzfo9lfTLzmBfRR2Th8d+ZUUF\nsADQcOjQsavKSkqoeuutE6eCDRzIoDlzOnq4A2fOJCMnJ6CKReKj7EgdX3j8dfYcrmVwXjb337GA\ncUP6x+W9FMC9UFtLC0ePnwq2Z88J7fpNnkz+nDkMil7Gq6lgkuq2H6jii0tXUVHTyPgh/fn6HfMp\nzOsbt/dL2QDWSbhjmqqqqFyzpqOHW7lu3YlTwXJzj00FmzOHQXPmkKnF7KUXKdlRztd/UUxdUwuz\nxhVw763zyM2O/bhvZykbwL31JJy3tVETXRWsvYdbs23bCe1yxow5NnY7Z46mgkmv9vt1pfyf59bR\n2uZcPm0E/3LdTDIz0uP+vvqNS3IttbUcWbfu2IUOa9bQXFXVpU1aZiYDZszoCFtNBROJcHeeeGU7\nj7y8GYBbFk3gw1dOJS1BJ5IVwEnE3anfu7fLzISj3U0Fi47baiqYyMm1tjk/fGk9z63ehQH/8DcX\ncOPC8QmtQQEcYq2NjVStX9/lQoeTTgVrv9AhesJMU8FETq2xuZUHf7mGv24uo096Gp+5YTaXXTA8\n4XUogEOk4eDByLoJ0XVvq9avP+lUsM5DCZoKJnJmquuauPfnq9lQGpnj+5XbipgxtiCQWlI2gMM+\nC6KtpYWjmzd3GU6oLy09oV3/yZO7rHmbO368erciZ+lAdI5v6eFaCvOyuS+Oc3x7ImUDOGyzIJqO\nHOmYClZRUsKRdetoravr0iY9N5dBs2d3jN0OnD1bU8FEYmTb/iq+tOzYHN/77ljA4LzsQGtK2QAO\nkre1UbOlbSq0AAAgAElEQVRjR5ex29NOBZs7l7wpU7D0+E99Eeltincc4uu/KKa+qTVhc3x7QgEc\nAy21tRx5441jU8HWrj31VLBo6GYNHhxQxSK9x+/WlfLtAOb49oQC+Ay5O/WlpcfGbtesoXrjRmhr\n69Iue+jQLmO3Ay64gLTM+CxpJyIncnd+/tft/M8fInN8b100gbsSOMe3JxTAp9Ha2EjVW291nQp2\n6FCXNpaeTl7nNW/nzaPv8OE6WSYSkDDM8e0JBfBxGg4e7HI33pNOBRs0KLJITfuqYDNmaCqYSEi0\nufPA0yX8eeMB+qSn8e83zObSAOb49oQCuJODf/oTr911V9eNZh1TwdrXvM0dN069W5GQenzFVv68\n8QC5WRl89fb5zBiTH3RJ3UqqADazCcAXgAHufkus9z9g+nQy+vVj4KxZx4YTZs+mT15erN9KROJg\n1baD/L8VWzHg8zfPDXX4QgID2MweAa4BDrr79E7brwb+E0gHfuzu3+xuH+6+A/iwmT0ZjxqzCgq4\nuqREU8FEklDZkToefGYtDrz/HVMomhj+BacS2QN+FPgB8JP2DWaWDjwEXAWUAqvMbDmRMH7guNff\n5e4HiTOFr0jyaWpp5b4nSzha38z8SYXceWk4r4A9XsIC2N1XmNm44zYvALZFe7aY2TLgend/gEhv\n+ayY2WJgMcCYMWPOdjcikiR+9JsNbNlfxdABffnMDbNDNdXsVIK+v8xIoPO9cEqj207KzArM7EfA\nHDP7XHft3H2Juxe5e1Gh1r0VSWm/faOU54t30yc9jS/dOi9ut5CPh6Q6Cefuh4GP9qRt2BfjEZFz\nt6Osmu+/8CYAH7t6WlzuXBxPQfeA9wKjOz0eFd12ztz9OXdfPECL2YikpJqGZr7+ZDGNLW1cNWsU\n754z+vQvCpmgA3gVMNnMxptZJnA7sDwWOzaza81sSdVxazKISPJzd7717Bvsq6hjwtA87nn39KSc\nm5+wADazpcBK4DwzKzWzD7t7C3AP8BKwEXjC3dfH4v3UAxZJXb9YuYOVW8rIzcrgS7fMJbtPcs5e\nSuQsiDu62f4C8EKs309jwCKp6Y2dh/mflzcB8G/Xz2ZEfm7AFZ29oIcg4kY9YJHUc/hoA994uoQ2\nh/ddPJFF5w0NuqRzkrIBLCKppaW1jfufKuFIbROzxxXwgcunBF3SOUvZANZJOJHU8vDvN7F+TyWD\n+2fzuZvmkJ6W/PGV/EfQDQ1BiKSOFRv28/Rrb5OeZnzhlrkMzM0KuqSYSNkAVg9YJDXsLq/h28+9\nAcA/XHU+F4waFHBFsZOyAawesEjyq29q6biZ5uXTRnDd/HFBlxRTKRvAIpLc3J3v/upNdpfXMGZw\nPz51zYykvNjiVBTAIhJKy1ft5I/r99E3M50v3TqPvplJtXRNj6RsAGsMWCR5bSit5L9/uxGAT187\nizGD+wVcUXykbABrDFgkOR2pbeT+J0tobXNuWjiey0J6Q81YSNkAFpHk09rmPPD0GsqPNjBt9CA+\nfOXUoEuKq9QbVBGRpNTc2sYjv9/E2p2HGZibyRdunktGemr3ERXAIhKo2oZmXijZzTOv76T8aANp\nBp+/aS4F/bODLi3uUjaAtRqaSLgdqq7nl6+9zYsle6hragFgXGF/PnjFecwaVxBwdYmRsgHs7s8B\nzxUVFd0ddC0icsyOsmqeXLmDP67fR2ubAzBrXAG3LppA0cTClJvreyopG8AiEh7uzpq3D/Pkqzso\n3n4IgDSDy6eN4JZFE5LuXm6xogAWkbhpaW1jxYb9PPXqDrYdqAYgq086754zmhsXjmfYwJyAKwyW\nAlhEYq6+qYUX1+zhl6+9zcGqegAG5mZy/fxxXFM0NqluHR9PCmARiZnDRxt4dtVOni/eRU1D5MTa\nqIJcbr5wAu+aOZLMjOS8d1u8pGwAaxaESOLsKa/hyZU7+P2be2lubQNg2uhB3LpoIgunDCGtF51Y\nOxMpG8CaBSGSGBtLK/nMT1+lqaUNAy6eOoxbF03g/BRatzdeUjaARST+DlbV89UnimlqaeOSqcO4\n651TGVmQvHcpTrQeBbCZjXH33fEuRkSSR0NTC199YjWVtY3MHl/A526ak/KXDsdaT/9rPdP+g5k9\nFadaRCRJtLnzreVvsO1ANSPyc3rFug3x0NP/Yp1H0CfEoxARSR6Pr9jKnzceICcrg6/eVqRpZWep\npwHs3fwsIr3Mig37+emKrdFFc+YwprB/0CUlrZ6ehJtlZtVEesJ9oz8TfezunheX6kQkVLbur+Jb\nz64F4CPvOp/5k4YEXFFy61EAu3soZk+b2Q3Ae4E84GF3/03AJYn0GhU1DXzlidU0trTxN7NGcdPC\n8UGXlPTOedTczD7Vw3aPmNlBM3vruO1Xm9lmM9tmZp891T7c/Rl3vxv4KPC+s69aRM5EU0srX3ui\nmPLqyJ0qPvGe6b1q1bJ4icVpy0/3sN2jwNWdN5hZOvAQ8G7gAuAOM7vAzGaY2a+O++r8t84Xo68T\nkThrvz38xr1HGDKgL1++dZ4uKY6RWFyI0aOPQXdfYWbjjtu8ANjm7jsAzGwZcL27PwBcc8IbRT5y\nvwm86O4l3RZkthhYDDBmzJielCci3Wi/xDirTzpfua2IgblZQZeUMmLRAz6XWREjgT2dHpdGt3Xn\nE8C7gFvM7KPdFuS+xN2L3L2osLDwHMoT6d1e3VLGw7/fBMC/3zCbicN0vj2Wenol3FEiQWscC9z2\nnm/fONR1Uu7+PeB7PWmrxXhEzs3Og0f55i/X4MAHLp/CxVOHBV1SyulRD9jd+0enmg0BLo5+FUa3\nn8swxl5gdKfHo6Lbzpm7P+fuiwcM6J0r7Yuci6q6Jr7yxGrqm1q5fNoI7rhEHZl46FEAm1mGmT0I\n7CZyMu0xYI+Z/YeZ9TmH918FTDaz8WaWCdwOLD+H/XUws2vNbElVVVUsdifSazS3tnHfk8Xsr6xj\nyvABfPramZrxECc9HQP+30ABMMHd57n7XGAiMBD4Vk92YGZLgZXAeWZWamYfdvcW4B7gJWAj8IS7\nrz/TgzgZ9YBFzpy781+/Xs+6XRXk98vi3tuKyOqjGQ/xYu6nP4dmZluBKX5c4+g0sk3uPjlO9Z21\nTmPAd2/dujXockSSwvJVO3no1+vpk57Gtz6wiKkjBwZdUlIys2J3Lzpdux6vBXF8+EY3thLStSHC\n3AO+9+er+fvvvcz2AxoekfAo2VHOD1/aAMCnr52p8E2AngbwBjP7++M3mtnfAZtiW1JshHkMuKKm\ngbKqeppbQ/nZJb3Q3sO13P9UMW3uvO/iibxzxqlmg0qs9HQGw8eBp83sLqA4uq2IyBS0G+NR2LlK\njlsSKYAleDUNzXz556uoaWhh0ZShfPCK84Iuqdfo6WI8e4GFZvZOYFp08wvu/vu4VZbCrGcXD4rE\nXWtbG994eg2lh2sZP6Q/n7lhtm6gmUBnNIfX3V8GXo5TLTGlCzFETu/Hv9tE8fZDDMjJ5CvvKyIn\nS7eJTKSUvYdImE/CtevBBBSRuHB3fvy7jTz92ttkpBlfumUuwwbmBF1Wr6OPuwDoLzwJUktrG9/5\n1Tp+t24v6WnGv10/mxljC4Iuq1dSAAdIHWBJtIamFu57qoRV2w6R3SedL906j6KJWrAqKCkbwGEe\nA1YHWIJQXdfEl5atYtPeIwzIyeRrt8/XXN+AaQw4QD25ClEkFg5W1fPpR19h094jDB3Ql29/UFe5\nhUHK9oBDTV1gSaCdB4/y+cdf4/DRRsYP6c/9dy6goH920GUJCmCRlPbm7gq+Er3IYsaYfL7yviL6\nZZ/LAoYSSykbwGEeAxZJhFc2H+CBp9fQ1NLGxecN5bM3zdG93EJGY8AB0JVwEm8vrtnN139RTFNL\nG++ZO4Yv3KIbaYZRyvaAk4HOwUmsuTtL/7KNx/64BYC/u2wyf3fZZC2oHlIK4ADod0HiobXN+eFL\n63lu9S4MuOc907lm3tigy5JTUACLpICmllb+45m1/HnjAfqkp/HvN87m0vOHB12WnIYCOEBhGYGo\nrGnk1a1lDMjJZNjAHIYNzNGiLEmktrGZrz5RzBs7D5OTlcFXbiti1jhdWpwM9Fsm/HTFFp4v3t1l\nW3sYDx+Uw9CBfRk+KIfh0XAuHJBNelrKnr9NKhU1DXzx8VVsL6smv18W992xgInD8oIuS3ooZQM4\nKaahheQs3NH6ZgDGFfanta2NA0fqqaproqquic37jpzQPs2MIQOyGdYplIcNinwfkZ9DXt/MRB9C\n0nD3mJ0Q21tRy+d/9hoHjtQzMj+Xb9y5gGGDtKJZMknZAA7zHTHCdka6/XPgjksncfm0EbS5U1nT\nyP7KOg4cqeNAZR37j9Rx4Eg9ByrrKD/aEPn5SD1rOdxlXwYsOm8otyyawLTR+Yk/mBBbv6eCbzy1\nhqq6JnKyMsjJyiA3+j0nM6NjW05Wn2M/Z2aQm93etk9HuwNH6rj356upqmtiyvABfP2O+QzMzQr6\nEOUMpWwAy9lLM6OgfzYF/bOZPubEEG1qaaXsSH0knI/URYK6MhLQu8treGVzGa9sLuOCUYO4ddEE\nLjxvaK+/y0J5dQNf/0UJlbWNAB1/YZyruRMG86Vb5mnMPknp/1qAwjEAceYyM9IZPbgfowf3O+G5\nipoGnn19J78q3sWG0kq++otiRuXncvOiCbxr5sheeTFAU0srX3+ymMraRmaPK+De24pobG6lrrGF\nuqYWahubIz8f/9UU+V7b2EJdtE1t9LnG5laumD6Cj797On3SNR6frBTAAQhfXzDyURCLuvL7ZfOh\nd07lfRdP4tdr9/DL196mtKKW/3z+TR7742aunz+Oa4rG9ppxYnfnoRfXd6xC9vmb53YMLwzqpyGD\n3k4BHKCQnIOLi5ysDG5aOJ7risayYsN+nly5g+1l1Tz2xy38/K/buXrOaG5cOD7lb4PzfMlufr12\nD5kZaXz51nkMyOkdHzzSMwrgAIRtOLT9gyAeJwcz0tN454yRXDF9BGvePsyTK7dTvKOcZ17fyfJV\nu7jsguHcsmgCk4eHb82Oc7V+TwU//PV6AP75mplMSsFjlHOTVAFsZucD/wQMBn7v7j8MuKRz4kk7\nCnzmzIy5EwYzd8Jgth+o5qlXd/DH9fs6vmaPK+CWRRMomlgYulkiZ6P9pFtLm3PTwvG8c8bIoEuS\nEErY6L2ZPWJmB83sreO2X21mm81sm5l99lT7cPeN7v5R4Dbg4njW2xslKvYmDsvjMzfM5tF7ruCm\nC8fTNzOdtTsP88Wlq/jHJX/mt2+U0tzalqBqYu/4k24fedfUoEuSkEpkD/hR4AfAT9o3mFk68BBw\nFVAKrDKz5UA68MBxr7/L3Q+a2XXAPwI/TUTRvUFQ/fAhA/ryD1ddwP+6dDLPF+/mmdff5u2DR/nW\n8jd45OVNTB05kJH5uYwsyI18z88lv19WqHvI7s5Dv46cdBsyoC+fu2mOrhqUbiUsgN19hZmNO27z\nAmCbu+8AMLNlwPXu/gBwTTf7WQ4sN7PngcfjV3EChG0EIqBc65fdh/ddPJEbF47jD2/t48mVOzrm\nEx8vu086I/NzGZGfy8j8nC7hPCAnM/Bwfr5kN79ec+ykmy6OkFMJegx4JLCn0+NSYGF3jc3scuAm\nIAt44RTtFgOLAcaMGROLOmMq6JA4QUimY2RmpPO3s0dz1axRvF1WzZ7Dtew9XMveilr2VUS+V9c3\ns72smu1l1Se8PjcroyOcR0WDefTgfkwclpeQC0E6n3T71HtnpOSJRYmtoAP4jLj7H4E/9qDdEjPb\nD1ybmZk5L951na1wxF74pJkxcdgAJg47McCq65siYXy4lr0VdeyNBvPeilpqG1vYsr+KLfururxm\n+ph8/vmaGYwqOPHCkVg5fLSB+56MnHS7ceF4rpw5Km7vJakj6ADeC4zu9HhUdNs5C/VaEEEXcJz2\nD4Kw1XUyeX0zyRuZydSRg7psd3eq6pooPXwskPdV1LJuVwVv7a7gH5f8mfe/Ywo3Xzg+5mOyTS2t\nfP0XxVTUNDJrXAF366Sb9FDQAbwKmGxm44kE7+3AnbHYcVKshiYxY2YMzM1iYG5Wl/UrquubWPKb\njfx2XSkP/34TKzbs59PXzmTC0Ngt2fhfv17PxuhJt8/rpJucgUROQ1sKrATOM7NSM/uwu7cA9wAv\nARuBJ9x9fSzeL8w35WwXkqHXDqEbm46BvL6Z/Ov1s7jvjvkMGdCXrfuruOfHf+GxP26mqaX1nPf/\nfPEuXtRJNzlLCQtgd7/D3Ye7ex93H+XuD0e3v+DuU9x9orvfH6v3M7NrzWxJVVXV6RsnWshyLmwf\nBPEwf9IQ/vsfLuPaorG0tjmP/3kb9/z4L2zaW3nW+1y/p4L/0kk3OQcp+7dSUvSAQ3YaLmSfCzGX\nk5XBPe+ezrf+/kJG5uey61AN//w/r/Dfv91AQ/OZ9YZ10k1iIWUDOMwsZFEXro+B+JsxtoAfLr6U\nWxdNAODpV9/mo/+9gjd2Hj7NKyM6n3SbOTZfJ93krKVsAId6CEICl9UnnY+863z+866LGT+kP/sr\n6/jMT1/lP59/k9rG5lO+tvNJty/cPFcn3eSspey/nGQYgghN17NjObRgywjClBED+f5HLuH975hC\nRprxQsluFv9oBa9vPXjS9i+U7NZJN4mZlA3gMEvByQZJrU96Gn932WQeuvtSzhsxkPLqBr60bBUP\n/nJNl9sGrd9TwUMvRtaS+ieddJMYSNkAToYhiLB0gNuFbWw60cYN6c93PnQRd7/rfLIy0nj5rX3c\n/cM/8af1+7qcdLthwTjepZNuEgNBX4gRN7oSrufC9kEQpPQ045ZFE1h03lC++6t1rNtVwTeeXkP/\nvn04Wt8cPel2ftBlSopI2R6wnDkNjRwzMj+XB99/IZ98z3RyMjM4Wt9MYV42X7h5Lhm6CabESMr2\ngJPhUmQPyRUQ4agifNLMeO+8scyfNITfrN3D5dNH6KSbxFTKfpSHehaEuppJZciAvvzdO6bEdTU1\n6Z1SNoBFRMJOARyA0PV/QzIUItLbKIADFLbc08iISGKlbACHeR5w2IIuZJ8DIr1GygZwqE/ChVRv\nvxBDJNFSNoCTQViWowzbUIhIb6EADoD6mSICCuBAha3nGbaxaZFUpwAOQsiSLmSfAyK9RsoGcJhn\nQYiIQAoHsGZBnIGwjYWI9BIpG8BhFq4BiGNS8bb0ImGmAA5QWDqeISlDpNdRAAdA/UwRAQWwdKIP\nBpHEUgAHSFfCifRuCuAghPVkV0jLEklVSRfAZpZrZqvN7JqgazlnIel5hqUnLtLbJCyAzewRMzto\nZm8dt/1qM9tsZtvM7LM92NW/A0/Ep8rECGtHU6uhiSRWIm/K+SjwA+An7RvMLB14CLgKKAVWmdly\nIB144LjX3wXMAjYA2QmoN+7U7xTp3SyRd+Y1s3HAr9x9evTxIuAr7v630cefA3D348O3/fX3A7nA\nBUA9cKO7t52k3WJgcfThecDmmB5IYgwGyoMuIsZ0TMkh1Y4piOMZ6+6Fp2sU9G3pRwJ7Oj0uBRZ2\n19jdvwBgZh8Eyk8WvtF2S4AlsSsz8cxstbsXBV1HLOmYkkOqHVOYjyfoAD4r7v5o0DWIiJyroGdB\n7AVGd3o8KrpNRCTlBR3Aq4DJZjbezDKB24HlAdcUFkk9hNINHVNySLVjCu3xJOwknJktBS4nMiBe\nBtzr7g+b2XuA7xKZ+fCIu9+fkIJERAKW0FkQIiJyTNBDECIivZYCWEQkIApgEZGAKIBFRAKiABYR\nCYgCWEQkIApgEZGAKIBFRAKiABYRCYgCWEQkIApgEZGAKIBFRAKiABYRCYgCWEQkIApgEZGAhCqA\nzexqM9tsZtvM7LPdtLnNzDaY2XozezzRNYqIxEpoFmQ3s3RgC3AVkbsjrwLucPcNndpMBp4A3unu\nlWY2xN0PBlKwiMg5ClMPeAGwzd13uHsTsAy4/rg2dwMPuXslgMJXRJJZmG5LPxLY0+lxKbDwuDZT\nAMzsr0TuIfcVd//18Tsys8XAYoDc3Nx5U6dOjUvBIiInU1xcXO7uhadrF6YA7okMYDKRm3uOAlaY\n2Qx3P9K5kbsvIXon1KKiIl+9enWi6xSRXszMdvWkXZiGIPYCozs9HhXd1lkpsNzdm939bSJjxpMT\nVJ+ISEyFKYBXAZPNbLyZZQK3A8uPa/MMkd4vZjaYyJDEjkQWKSISK6EJYHdvAe4BXgI2Ak+4+3oz\n+5qZXRdt9hJw2Mw2AH8A/s3dDwdTsYjIuQnNNLR40RiwiCSamRW7e9Hp2oWmBywi0tsogEVEAqIA\nFhEJiAJYRCQgCuCAlJWVceeddzJhwgTmzZvHokWL+OUvf9lt+507dzJ9+vQEVigi8aYADoC7c8MN\nN3DZZZexY8cOiouLWbZsGaWlpUGXJiIJpAAOwMsvv0xmZiYf/ehHO7aNHTuWT3ziE+zcuZNLL72U\nuXPnMnfuXF555ZUTXt9dm1/+8pdceeWVuDv79+9nypQpHDhwgMsuu4y1a9d2vP6SSy7hjTfeiP+B\nisgpJdtaEDH3t19/Pi77felL7+32ufXr1zN37tyTPjdkyBB++9vfkp2dzdatW7njjjs4fh5zd21u\nvPFGnnrqKR566CF+/etf89WvfpVhw4bx4Q9/mEcffZTvfve7bNmyhYaGBmbNmhXT4xWRM6cecAh8\n/OMfZ9asWcyfP5/m5mbuvvtuZsyYwa233sqGDRtOaH+qNt///vd54IEHyMrK4o477gDg1ltv5Ve/\n+hXNzc088sgjfPCDH0zUoYnIKfT6HvCpeqrxMm3aNJ566qmOxw899BDl5eUUFRXxne98h6FDh/LG\nG2/Q1tZGdnb2Ca8/VZvS0lLS0tIoKyujra2NtLQ0cnJyuOqqq3j22Wd54oknKC4uTshxisipqQcc\ngHe+8500NDTwwx/+sGNbXV0dAFVVVQwfPpy0tDR++tOf0traesLru2vT0tLCXXfdxdKlSzn//PP5\n9re/3fGaj3zkI3zyk59k/vz5DBo0KM5HKCI9oQAOgJnxzDPP8Kc//Ynx48ezYMECPvCBD/Dggw/y\nsY99jMcee4xZs2axadMmcnNzT3h9d22+8Y1vcOmll3LJJZfw7W9/mx//+Mds3LgRgHnz5pGXl8eH\nPvShhB6riHRPi/H0Evv27ePyyy9n06ZNpKXpc1cknrQYj3T4yU9+wsKFC7n//vsVviIhoh6wiEiM\nJWUP2MyuNrPNZrbNzD57kuc/aGaHzGxt9OsjQdQpIhILoZmGZmbpwEPAVUTu/bbKzJa7+/ETYX/u\n7vckvEARkRgLUw94AbDN3Xe4exOwDLg+4JpEROImTAE8EtjT6XFpdNvxbjazdWb2pJmNPsnzIiJJ\nIUwB3BPPAePcfSbwW+CxkzUys8VmttrMVh86dCihBZ6JZ555BjNj06ZNHdu2bt3KNddcw8SJE5k3\nbx5XXHEFK1asAODRRx8lLS2NdevWdbSfPn06O3fuTHTpIhIDYQrgvUDnHu2o6LYO7n7Y3RujD38M\nzDvZjtx9ibsXuXtRYWFhXIqNhaVLl3LJJZewdOlSABoaGnjve9/L4sWL2b59O8XFxXz/+99nx44d\nHa8ZNWoU999/f1Ali0gMhSmAVwGTzWy8mWUCtwPLOzcws+GdHl5H5Pb1Sammpoa//OUvPPzwwyxb\ntgyAn/3sZyxatIjrrruuo9306dO7LJ5zzTXXsH79ejZv3pzokkUkxkIzC8LdW8zsHuAlIB14xN3X\nm9nXgNXuvhz4pJldB7QAFcAHz/V9n5s48Vx3cVLXbt9+yuefffZZrr76aqZMmUJBQQHFxcWnXKay\nXVpaGp/5zGf4xje+wWOPnXQERkSSRJh6wLj7C+4+xd0nuvv90W1fjoYv7v45d5/m7rPc/Qp333Tq\nPYbX0qVLuf322wG4/fbbO4YhOrvxxhuZPn06N910U5ftd955J6+++ipvv/12QmoVkfgITQ84KKfr\nqcZDRUUFL7/8Mm+++SZmRmtrK2bGvffe23HCDSJ3uFi9ejX/+q//2uX1GRkZ/Mu//AsPPvhgoksX\nkRgKVQ+4t3jyySd5//vfz65du9i5cyd79uxh/PjxTJo0ib/+9a8sX35s6Lt9mcrjffCDH+R3v/sd\nYZ7lISKnpgAOwNKlS7nxxhu7bLv55ptZtmwZv/rVr/jRj37EhAkTWLRoEffddx9f/OIXT9hHZmYm\nn/zkJzl48GCiyhaRGNNiPCIiMZaUi/GIiPQmCmARkYAogEVEAqIAFhEJiAJYRCQgCmARkYAogEVE\nAqIAFhEJiAJYRCQgCmARkYAogEVEAqIAFhEJSKgC2MyuNrPNZrbNzD57inY3m5mb2WkXuxARCavQ\nBLCZpQMPAe8GLgDuMLMLTtKuP/BPwGuJrVBEJLZCE8DAAmCbu+9w9yZgGXD9Sdp9HXgQaEhkcSIi\nsRamAB4J7On0uDS6rYOZzQVGu/vzp9qRmS02s9Vmtlp3jBCRsApTAJ+SmaUB3wb+5XRt3X2Juxe5\ne1FhYWH8ixMROQthCuC9wOhOj0dFt7XrD0wH/mhmO4ELgeU6ESciySpMAbwKmGxm480sE7gd6Lg7\npbtXuftgdx/n7uOAV4Hr3F33GxKRpBSaAHb3FuAe4CVgI/CEu683s6+Z2XXBViciEnsZQRfQmbu/\nALxw3LYvd9P28kTUJCISL6HpAYuI9DYKYBGRgCiARUQCogAWEQmIAlhEJCDnFMBm1hqrQkREeptz\n7QFbTKoQEemFzjWAPSZViIj0QjEZAzaz+WY2rNPjvzezZ83se2aWH4v3EBFJNbE6CfffQBOAmV0G\nfBP4CVAFLInRe4iIpJRYXYqc7u4V0Z/fByxx96eAp8xsbYzeQ0QkpcSqB5xuZu1hfiXwcqfnQrXe\nhIhIWMQqHJcCfzKzcqAe+DOAmU0iMgwhIiLHiUkAu/v9ZvZ7YDjwG3dvnx2RBnwiFu8hIpJqYhLA\nZlcE6TMAABWESURBVJZN5A4Vk4AhZvawu7e4+5ZY7F9EJBXFagz4J0AR8CaR28r/n7PZiZldbWab\nzWybmX32JM9/1MzeNLO1ZvaXk922XkQkWcRqDPh8d58BYGYPA6+f6Q7MLB14CLiKyB2RV5nZcnff\n0KnZ4+7+o2j764jcpPPqcy1eRCQIseoBN7f/EL210NlYAGxz9x3u3gQsA67v3MDdqzs9zEVX4olI\nEotVD3iWmbWHowF9o48NcHfP68E+RgJ7Oj0uBRYe38jMPg58GsgE3nmyHZnZYmAxwJgxY3p6DCIi\nCRWTHrC7p7t7XvSrv7tndPq5J+F7Ju/1kLtPBP4d+GI3bZa4e5G7FxUWFsby7UVEYiau6wGbWZqZ\n/a8eNt8LjO70eFR0W3eWATecbW0iIkGL1WI8A8zsc2b2AzP7G4v4BLADuK2Hu1kFTDaz8WaWCdwO\nLD/ufSZ3evheYGss6hcRCUKsxoB/ClQAK4GPAJ8nMv57g7v3aC0Id28xs3uAl4B04BF3X29mXwNW\nu/ty4B4zexeRk36VwAdiVL+ISMLZsYvWzuLFZq3unm5mb3aahpYO7AfGuHtDjOo8a0VFRb569eqg\nyxCRXsTMit296HTt4jENrRUoDUP4ioiEWbynoQEQ65kQIiKpIFYBPBUY6u5/6bzRzC4BDsToPUTi\nom7vXva/8AJ9R45kxHveE3Q50ovEKoC/A3zuJNuros9dG6P3EYmJ+v372ffii+x/4QUq16wBYNDc\nuQpgSahYBfAwd3/z+I3u/qaZjYvRe4ick4aDB9n/4ovsff55KouLO7an9+3L0CuuYMQ11wRYnfRG\nsQrggad4rm+M3kPkjDWWl7P/pZfY9/zzHH79dYjO+knLyoqE7nvew5ArriAjJyfgSqU3ilUArzKz\nu939/3beaGYfAYr/f3t3H1xVfedx/P29N0+EBEiAQG4AiSaIYkEqilUEF3lMWt1124K2M+62O870\nYWZb3e10H6Y77V/dbqdTd6ezLauO3c5O7Vq1pSTIs7DlQcFioUGKiCJwk5CQEMjTzX347h/n5OYa\nEwxNcs+5yfc1k7nn/H7nku9PySc/zj3n/AZ5jzGjItLSQsO2bYRra2k+dAgSCQACOTlMX76csupq\nZqxcSVZBgceVmvFupAL4a8DL7m3HvYG7BOeBOX8xQt/DmEH1XL5Mw44dhGtqaD5wAI3HAZDsbKav\nWEGoupqZq1aRXVjocaXG9BluAAuAqjYC94jInwG3uX01qrp70HcaM0zRq1eTodu0fz8adS5Hl6ws\npi9f7oTu6tXkTJ7scaXGDGxYAayqgX77e4A9w6rImGuItbfTsGsX4dpamvbtI9HT43QEAky7915C\nVVWUrl1LTlGRt4UaMwS2ZLzxvVhnJ427dxOuqeHiq6/2ha4IU5cuJfTJT1K6Zg2506Z5W6gx18kC\n2PhSrKuLi3v3Eq6poXH3bhLd7p3tIhTfeacz012/njx73rPJYBbAxjfikQgX9+6lvraWhl27iHd2\nJvuKFi8mVF1N6fr1TJg508MqjRk5FsDGU/FIhOb9+7lQU0Pjzp3E2tuTfVMWLnRCt6qK/FDIwyqN\nGR0WwCbtEtEozQcOEK6poX77dmJXryb7Ji9YQKi6mlBVFfmzZ1/jTzEm81kAm7RIxGJcOnQoGbrR\ny5eTfZPmz0+eXigoL/ewSmPSy1cBLCLrgKdwVsR4WlW/26//CZwVN2JAE/AFVT2b9kLNkGg8zqXX\nX3dCd9s2elpakn0FlZWUuacXCm+6ycMqjfGObwLYXUnjR8BqnCXpD4vIZlU9kXLYUWCJqnaKyJeA\n7wEb0l+tGYwmErQcOUK4tpb6rVuJNDcn+yaWlxOqrqasuprCefM8rNIYf/BNAAN3AadV9QyAiDwP\nPAQkA9i90aPXIeDzaa3QDEgTCVqPHnVmuq+8QndjY7Ivf84c55xudTWT5s9HRDys1Bh/8VMAlwHn\nUvbPA0uvcfwXga0DdYjI48DjAHPmzBmp+kwKVeXysWOEa2oI19bSXV+f7JswaxahqipC1dVMXrDA\nQteYQfgpgIdMRD6P87CfFQP1q+omYBM4i3KmsbQxTVVpq6tLhm7X+fPJvrzS0mToTlm40ELXmCHw\nUwBfAFKvO5rltn2Auyz9PwErVDWSptrGLVXlysmTzumF2lo6zvZ95pk3Ywal69cTqqqiaPFiJDBS\na7waMz74KYAPA5UiUo4TvBuBR1MPEJHFwE+Adap6Mf0ljh9XT53igjvT7ThzJtmeO22aE7rV1RTf\ncYeFrjHD4JsAVtWYiHwV2IZzGdqzqlonIt8BjqjqZuDfgALgBfefuO+r6oOeFT3GXH3nHepra7lQ\nU0P7228n23OKiyldu5ZQdTVT77oLCQY9rNKYscM3AQygqrVAbb+2b6Vsr0p7UWNcx3vvccE9vXDl\n5Mlke/aUKZSuWeOE7t13E8jy1V8VY8YE+6kahzrPnSNcW0u4poa2urpke1ZhYTJ0p91zD4HsbA+r\nNGbsswAeJzrDYerd0L187FiyPauggJmrVjmhe++9BHNzPazSmPHFAngM62pooH7rVsI1NbQePZps\nD+bnM/OBByitqqJkxQoLXWM8YgE8xnQ3NSVDt+XIkWR7IC+PGStXEqqupmTFCrImTPCwSmMMWACP\nCZHmZuq3bye8ZQuXXn8d1Ln3JJCbS8n99xOqqnKWYc/P97hSY0wqC+AM1dPaSv22bYRra2k+eBAS\nCQACOTl9KwKvXElWQYHHlRpjBmMBnEF62tqcZdi3bKH5wAE0Hgf6LcO+ahXZkyZ5XKkxZigsgH0u\nevUqDTt3Eq6poem3v0WjUQAkGGT6ffc5obt6NTlTpnhcqTHmelkA+1CsvZ0Gdxn2pn37+pZhDwSY\nds89TuiuWUNucbG3hRozxp28cJkT51t5eOnorNRiAewTsc5OLu7Zw4WaGi6++iqJiPucIRGmLl3q\nLNmzdi2506Z5W6gx40AkGudne0/x4qEzqMKts4qYXzby/8q0APZQvLubi3v3Et6yhcY9e4h3dSX7\nipcsIVRVRen69eSVlHhYpTHjS925Fn6w+RjnWzoICHz6EzdSXlI4Kt/LAjjN4pEITfv2Ea6tpWHX\nLuIdHcm+osWLnZnuunVMKC31sEpjxp/unhjPvXqKX732LgrMmVbAkw8uZH5Z0ah9TwvgNEj09NC0\nfz/hLVto2LmTWHt7sm/KwoXOTLeqivyyMg+rNGb8Onb2Ej/4zTHqWzsJiLDhnhv53PJKcrJG98l/\nFsCjJBGN0nzwIOGaGhq2byd65Uqyb9KCBc7qEVVVTLQlk4zxTFdPjGd2neQ3R5yFBspLCnnywUVU\nlk5Oy/e3AB5BiViMS6+95qwesX070dbWZF/hzTc7i1NWVVFQPjqfqBpjhu53Z5r54ZZjNLZ1EQwI\njy6rYMOyCrKD6VtkwFcBLCLrgKdwHsj+tKp+t1//cuCHwEJgo6r+Mv1VfpDG41w6fDi5InBPS0uy\nr6CiIhm6hRUVHlZpjOnV0R3lv3a+xdajzhrAFTMn8eSDi7hxRvpvYPJNAItIEPgRsBpnReTDIrJZ\nVU+kHPY+8FfA36W/wj6aSNDyxhvJ0I00NSX7Js6dm1yGvXDePFuc0hgfOXz6Ij+sOU7zlW6ygwE+\nt7ySz3ziRrLSOOtN5ZsABu4CTqvqGQAReR54CEgGsKq+5/Yl0l2cqtJ69Cjh2lrqt26lu6Eh2Zc/\nZ05ypjvpllssdI3xmatdUX6y4wQ7fu+s5H1zaApPfGohc0fp8rKh8lMAlwHnUvbPA0v/lD9IRB4H\nHgeYM4wPuVSVtuPHubBlC/Vbt9IVDif7JpSVJZdhn3zbbRa6xvjUoVONPFVznJb2CNnBAI/dP4+H\n7y4n6IMFZf0UwCNGVTcBmwCWLFmi1/le2urqnNUjamvpPNf3OyFv5szkTHfKokUWusb42JXOHv5z\nWx27/+BMnG6dVcQTn1rI7Gn+eUKgnwL4AjA7ZX+W25Y2l44c4fff+AYdZ88m23JLSgitX0+oqoqi\nj3/clmE3xucSquyrq+fH20/Q2hEhNyvAX6+cz4N3ziUY8NekyU8BfBioFJFynODdCDyazgImlJbS\ncfYsOVOnOqFbXU3xHXfYMuzGZIB4IsHeunp+/tvTvN/s3Oy08IZivv7JhYSKJ3pc3cB8E8CqGhOR\nrwLbcC5De1ZV60TkO8ARVd0sIncCLwNFwKdE5NuqumCkasgvK2PZSy8x5bbbLHSNyRDReIJdx87z\n/P53qG/tBKBk8gQeWVbBusWzCfj4VKGoXtcp0oyzZMkSPZKyNpoxZmyIROO88uY5XjjwDk1XugEI\nFeez8d4KVn6sLK03VPQnIm+o6pKPOs43M2BjjBmKrp4YW944y4sH36W1w3ls6w3TC3hkWQXLby31\nxdUNQ2UBbIzJCO3dUTYffo+XXnuXq13OyjAVMyfx6H2VfOLmGb4+1TAYC2BjjK+1dfbw8mvv8uvD\n79EZiQFwy6wpfO6+SpbcND2jLwe1ADbG+NKlq928eOgMW954n0jUWYD29rlTeeS+ChbdMDWjg7eX\nBbAxxlcaL3fywsEzvHL0HNG489SBuyqms3FZBQtmj611EC2AjTGe6ozEeKehjVP1bbx1vpUDf2wk\nnnCuzlo2fyYbl1Wk7fm86WYBbIxJm+6eGKcbrnCqvo3T9W2cCl/m/KUOUi+GDQisvC3EhnsrPH9Y\nzmizADbGjIruaJwzjVd4O3yZU/VtvF3fxrnmdhL9bj3ICghzSwqZF5pCZelkFpdPo7Qo35ui08wC\n2BgzbJFonHcvXuXt+sucCjthe7apnUS/G72CAeGmkkIqQ5OpLJ3MvNLJzC0pHPW11/zKAtgYMyTt\n3VHqWzsJt3RQ39rpbLd2EG7t5NKVbvrfUxsQobyk0AlaN3DLSyaRmz0+w3YgFsDGGMBddKAjQril\nL1ydwO2kvrWDK+7NDwMJiDB76kTmhZxZbWVoCjfOmESehe01WQAbM8aoKtF4gs5ILPnV1ROjw33t\njMTo7Onra2rrIuzOaLvd620HkpsVoLRoIqVF+YSK8yktmkioKJ9Q8URKJudl1C3AfmEBbEya9QZk\nJJogEo0TicXpicaJxJz9nljcfU3QndxPJNud4xN09qQEakqodkVixPp/0jVEhROynYB1w7U0JWiL\nC3LHxM0PfmIBbMalhCqJhBL/wFeChPZv6z3OCcPuaJxITzy53d0Tc19722Ip273tHzymJxr/0PnS\nkZYVECbmZTMhJ0h+rvM6MTeLCTlZ5Oe6XzlZTMjNYmphnhO2RRMpnJA9ypWZVBbAHti04wQXWjpJ\nqKK9QaCKKiQS6oSDKomEM1vqDQXVvuBI4Lz2/iALJGcnIiBIsh0ZuD91MiPS+47hEXH+rIAIAYFA\nwNkWdzso4vQHUo7pvx8QBEkJwwSxuPPfKBmUCXXa3P3+QTpYiPbue/0Q1uxggJysALnZQXKzg852\nVpAcdz83K0BOVpC87CA52U6fc1yQ3GynzwlQJ2DzU4J1Qk5w3F5VkGksgD1w/P0WToXbvC5j3AsG\npN9XgGBAkr8oAv36crMC5OYEycvOIi87SF6OE5DOdv+2rAH7ewPXb0vjGG/4KoBFZB3wFM6KGE+r\n6nf79ecC/w3cAVwCNvQuVZ9J/uaBW+iIRN0Z32CzwwFmhin9wd73iaA4M2UFUOid36nitql7DG57\n3wxQ3TeN1HP5FZIz+3hCSSgfMct3junb7pvp9w/Ggfazgs5+QCSlra8/IEIw+OH3ZeKjC83Y45sA\nFpEg8CNgNc6S9IdFZLOqnkg57ItAq6pWiMhG4F+BDemvdngWzZ3qdQnGGB/w03UjdwGnVfWMqvYA\nzwMP9TvmIeCn7vYvgQfEPpY1xmQo38yAgTLgXMr+eWDpYMe4i3i2AVOB5tSDRORx4HF3t11E/jgq\nFY+uafQb1xhgY8oMY21MXoznhqEc5KcAHjGqugnY5HUdwyEiR4ayqF8msTFlhrE2Jj+Px0+nIC4A\ns1P2Z7ltAx4jIlnAZJwP44wxJuP4KYAPA5UiUi4iOcBGYHO/YzYDj7nbnwZ2q47U5/fGGJNevjkF\n4Z7T/SqwDecytGdVtU5EvgMcUdXNwDPAz0TkNNCCE9JjVUafQhmEjSkzjLUx+XY8YhNIY4zxhp9O\nQRhjzLhiAWyMMR6xAPYBEXlWRC6KyB9S2n4hIm+6X++JyJte1ni9BhnT7SJyyB3TERG5y8sar9cg\nY1okIgdF5LiI/EZEJnlZ4/UQkdkiskdETohInYj8rdteLCI7RORt97XI61qH6hpj+oy7nxAR31yS\nZgHsD88B61IbVHWDqt6uqrcDLwIveVHYMDxHvzEB3wO+7Y7pW+5+JnmOD4/paeCbqvox4GXg79Nd\n1DDEgCdV9VbgbuArInIr8E1gl6pWArvc/Uwx2Jj+ADwM7POyuP4sgH1AVffhXNXxIe6t1p8Ffp7W\nooZpkDEp0DtDnAyE01rUMA0ypnn0/VDvAP4yrUUNg6rWq+rv3O2rwFs4d5um3vL/U+DPvanw+g02\nJlV9S1V9d0esby5DM4O6D2hU1be9LmQEfA3YJiLfx/nlf4/H9YyEOpzA+hXwGT54M1HGEJG5wGLg\nNWCGqta7XQ3ADI/KGpZ+Y/IlmwH73yNk2Oz3Gr4EfF1VZwNfx7muO9N9AfiyiLwBFAI9Htdz3USk\nAOc019dU9Upqn3ujU8Zdq3qtMfmJBbCPubdbPwz8wutaRshj9J3LfgHnCXgZTVVPquoaVb0D5xfl\nO17XdD1EJBsnqP5HVXv/3zSKSKnbXwpc9Kq+P8UgY/IlC2B/WwWcVNXzXhcyQsLACnd7JZDxp1VE\npMR9DQD/DPzY24qGzv184RngLVX9QUpX6i3/jwG/Tndtf6prjMmX7E44HxCRnwP34zw2rxH4F1V9\nRkSeAw6pasb8UPcaaEzAH3FWPMkCuoEvq+obXtV4vQYZUwHwFfeQl4B/yJTnk4jIMuD/gONAwm3+\nR5xzpv8LzAHOAp9V1QE/JPaba4wpF/gPYDpwGXhTVdd6UmQKC2BjjPGInYIwxhiPWAAbY4xHLICN\nMcYjFsDGGOMRC2BjjPGIBbAxxnjEAtgYYzxiAWzMRxCRoNc1mLHJAtiYfkTki+6DyJ8RkVbgCa9r\nMmOTBbAxH7YI52HevwamAv/ubTlmrLLnARvzYYuA76vqZnc/4mUxZuyyZ0EY04972uFeVT3hdS1m\nbLNTEMakEJEbgGzgpNe1mLHPAtiYD1oEHFfVxEceacwwWQAb80GLgDe9LsKMD3YO2BhjPGIzYGOM\n8YgFsDHGeMQC2BhjPGIBbIwxHrEANsYYj1gAG2OMRyyAjTHGIxbAxhjjkf8HFo6URtKwQBAAAAAA\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f30b7d215d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(3,1, sharex=True, figsize=(5,8))\n",
    "\n",
    "Ax[0].plot(gal_mag_bins, galaxy_statistics_vs_mag[:,1], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_mag_bins, agn_statistics_vs_mag[:,1], color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Ax[1].plot(gal_mag_bins, galaxy_statistics_vs_mag[:,3], color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(agn_mag_bins, agn_statistics_vs_mag[:,3], color='firebrick', lw=2, label='AGN')\n",
    "Ax[1].set_ylabel(r'$\\rm{OLF}$')\n",
    "\n",
    "Ax[2].plot(gal_mag_bins, galaxy_crps_vs_mag, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[2].plot(agn_mag_bins, agn_crps_vs_mag, color='firebrick', lw=2, label='AGN')\n",
    "Ax[2].set_ylabel(r'$\\overline{\\rm{CRPS}}$')\n",
    "\n",
    "Leg = Ax[2].legend(loc='upper left', frameon=False)\n",
    "\n",
    "#Ax[2].set_xlim([0, z_spec[zs_agn].max()])\n",
    "Ax[2].set_xlabel('$r$', size=12)\n",
    "Tw = Ax[0].twiny()\n",
    "Tw.set_xlim(Ax[2].get_xlim())\n",
    "Tw.set_xlabel('$r$', size=12)\n",
    "\n",
    "Ax[0].set_yscale('log')\n",
    "Ax[1].set_yscale('log')\n",
    "Ax[0].set_ylim([0.01, 1])\n",
    "Ax[1].set_ylim([0.0001, 1])\n",
    "Ax[2].set_ylim([0, 0.6])\n",
    "\n",
    "Fig.tight_layout()\n",
    "Fig.savefig('plots/dmu24_SGP_stats_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Accuracy of the photometric redshift probability distribution\n",
    "\n",
    "Following Duncan et al. (2017) we calibrate the accuracy of the redshift PDF by scaling the input PDFs to the hierarchical Bayesian combination depending on the optical magnitude of a source in the band chosen for calibration. The diagnostic plot which best illustrates the overall redshift PDF accuracy is the Q-Q plot ($\\hat{F}(c)$): \n",
    "\n",
    ">To quantify the over- or under-confidence of our photometric redshift estimates, we follow the example of Wittman et al. (2016) and calculate the distribution of threshold credible intervals, $c$, where the spectroscopic redshift is just included.\n",
    "For a set of redshift PDFs which perfectly represent the redshift uncertainty (e.g. 10% of galaxies have the true redshift within the 10% credible interval, 20% within their 20% credible interval, etc.), the expected distribution of $c$ values should be constant between 0 and 1.\n",
    "The cumulative distribution, $\\hat{F}(c)$, should therefore follow a straight 1:1 relation.\n",
    "Curves which fall below this expected 1:1 relation therefore indicate that there is overconfidence in the photometric redshift errors; the $P(z)$s are too sharp. - _Duncan et al. (2017)_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:98: RuntimeWarning: invalid value encountered in divide\n",
      "/software/rhel7/lib64/python2.7/site-packages/numpy/lib/function_base.py:780: RuntimeWarning: invalid value encountered in greater_equal\n",
      "  keep = (tmp_a >= first_edge)\n",
      "/software/rhel7/lib64/python2.7/site-packages/numpy/lib/function_base.py:781: RuntimeWarning: invalid value encountered in less_equal\n",
      "  keep &= (tmp_a <= last_edge)\n"
     ]
    },
    {
     "data": {
      "image/png": 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XAYsOSHuwxvFmYEhT+6VQNDRrFm9g0dwfMJmN/Oe3WXQd8Pf6vrSiHKatfBGT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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f318bb2c590>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = plt.cm.viridis(np.linspace(0, 1, len(gal_mag_bins)))\n",
    "\n",
    "cmap = mpl.cm.viridis\n",
    "norm = mpl.colors.Normalize(vmin=gal_mag_bins.min(), vmax=gal_mag_bins.max())\n",
    "\n",
    "mag = photometry['r_any_mag'][zs_gal]\n",
    "\n",
    "Fig, Ax = plt.subplots(1)\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    \n",
    "    ci, bins = calc_ci_dist(photoz_pdf_gal[mcut,:], photoz_zgrid, z_spec[zs_gal][mcut])\n",
    "    \n",
    "    Ax.plot(bins, ci, color=colors[i], lw=2)\n",
    "\n",
    "cbax = Fig.add_axes([0.26, 1.02, 0.5, 0.05])\n",
    "CB = mpl.colorbar.ColorbarBase(cbax, cmap=cmap, norm=norm, orientation='horizontal')\n",
    "CB.set_label('r')\n",
    "\n",
    "Ax.set_aspect('equal')\n",
    "Ax.set_ylim([0,1])\n",
    "Ax.plot([0,1],[0,1], color='0.5', ls='dashed', lw=2)\n",
    "Ax.set_xlabel(r'$c$', size=12)\n",
    "Ax.set_ylabel(r'$\\hat{F}(c)$', size=12)\n",
    "Ax.text(0.1, 0.9, 'Galaxies', size=12,  verticalalignment='top')\n",
    "Fig.savefig('plots/dmu24_SGP_pz_accuracy_gal.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:98: RuntimeWarning: invalid value encountered in divide\n"
     ]
    },
    {
     "data": {
      "image/png": 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2uzQTJ10Nrh8BS0SkqGGBiEzDGdNlTLfz+/0sW1FLoD6FQ1WDUdWoObgsuPqK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\ncBljko4FlzEm6VhwGWOSzv8Hpe8+lzZDpDAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f318bb2ca50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = plt.cm.viridis(np.linspace(0, 1, len(agn_mag_bins)))\n",
    "\n",
    "cmap = mpl.cm.viridis\n",
    "norm = mpl.colors.Normalize(vmin=agn_mag_bins.min(), vmax=agn_mag_bins.max())\n",
    "\n",
    "mag = photometry['r_any_mag'][zs_agn]\n",
    "\n",
    "Fig, Ax = plt.subplots(1)\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "    \n",
    "    ci, bins = calc_ci_dist(photoz_pdf_agn[mcut,:], photoz_zgrid, z_spec[zs_agn][mcut])\n",
    "    \n",
    "    Ax.plot(bins, ci, color=colors[i], lw=2)\n",
    "\n",
    "#cbax = mpl.colorbar.make_axes(Ax.axes)\n",
    "cbax = Fig.add_axes([0.26, 1.02, 0.5, 0.05])\n",
    "CB = mpl.colorbar.ColorbarBase(cbax, cmap=cmap, norm=norm, orientation='horizontal')\n",
    "CB.set_label('r')\n",
    "\n",
    "Ax.set_aspect('equal')\n",
    "Ax.set_ylim([0,1])\n",
    "Ax.plot([0,1],[0,1], color='0.5', ls='dashed', lw=2)\n",
    "Ax.set_xlabel(r'$c$', size=12)\n",
    "Ax.set_ylabel(r'$\\hat{F}(c)$', size=12)\n",
    "Ax.text(0.1, 0.9, 'AGN', size=12, verticalalignment='top')\n",
    "Fig.savefig('plots/dmu24_SGP_pz_accuracy_agn.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Checks for statistiscs on number of estimates with secondary peaks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/software/rhel7/lib64/python2.7/site-packages/astropy/table/column.py:954: RuntimeWarning: invalid value encountered in greater\n",
      "  return getattr(self.data, op)(other)\n",
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:28: RuntimeWarning: invalid value encountered in divide\n"
     ]
    }
   ],
   "source": [
    "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "\n",
    "gal_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][gal_mag],[1,95]), num=30)\n",
    "agn_mag_binedges = np.linspace(*np.percentile(photometry['r_any_mag'][agn_mag],[1,95]), num=15)\n",
    "\n",
    "gal_mag_bins = 0.5*(gal_mag_binedges[:-1] + gal_mag_binedges[1:])\n",
    "agn_mag_bins = 0.5*(agn_mag_binedges[:-1] + agn_mag_binedges[1:])\n",
    "\n",
    "galaxy_frac_sec_peak = []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, mmin in enumerate(gal_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < gal_mag_binedges[i+1])\n",
    "    \n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n",
    "    \n",
    "    galaxy_frac_sec_peak.append(mpeaks)\n",
    "\n",
    "galaxy_frac_sec_peak = np.array(galaxy_frac_sec_peak )\n",
    "\n",
    "agn_frac_sec_peak= []\n",
    "\n",
    "for i, mmin in enumerate(agn_mag_binedges[:-1]):\n",
    "    mcut = np.logical_and(mag >= mmin, mag < agn_mag_binedges[i+1])\n",
    "\n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n",
    "    \n",
    "    agn_frac_sec_peak.append(mpeaks)\n",
    "    \n",
    "agn_frac_sec_peak = np.array(agn_frac_sec_peak)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in divide\n",
      "  \n",
      "/home/duncan/.local/lib/python2.7/site-packages/ipykernel_launcher.py:17: RuntimeWarning: invalid value encountered in divide\n"
     ]
    }
   ],
   "source": [
    "gal_mag = np.logical_and(AGN == 0, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "agn_mag = np.logical_and(AGN == 1, photometry['r_any_mag'] > 0.) * (photoz['z1_median'] >= 0)\n",
    "\n",
    "nfilts = np.arange(4,photoz['nfilt_eazy'].max())\n",
    "\n",
    "galaxy_frac_sec_peak_nf = []\n",
    "agn_frac_sec_peak_nf= []\n",
    "\n",
    "mag = photometry['r_any_mag']\n",
    "\n",
    "for i, n in enumerate(nfilts):\n",
    "    mcut = (photoz['nfilt_eazy'] == n)\n",
    "    \n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*gal_mag] > 0) / np.float(np.sum(mcut*gal_mag))\n",
    "    galaxy_frac_sec_peak_nf.append(mpeaks)\n",
    "\n",
    "    mpeaks = np.sum(photoz['z2_median'][mcut*agn_mag] > 0) / np.float(np.sum(mcut*agn_mag))\n",
    "    agn_frac_sec_peak_nf.append(mpeaks)\n",
    "\n",
    "\n",
    "galaxy_frac_sec_peak_nf = np.array(galaxy_frac_sec_peak_nf)\n",
    "agn_frac_sec_peak_nf = np.array(agn_frac_sec_peak_nf)   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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uXdSUl1NbXk5tRYX19wTPgwYPZsBPf9plWv+qk1M35GXclVe6OZLuQ0Tqezwb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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3174d16d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Fig, Ax = plt.subplots(1,2, sharey=True, figsize=(8,3.5))\n",
    "\n",
    "Ax[0].plot(gal_mag_bins, galaxy_frac_sec_peak, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[0].plot(agn_mag_bins, agn_frac_sec_peak, color='firebrick', lw=2, label='AGN')\n",
    "#Ax[0].set_ylabel(r'$\\sigma_{\\rm{NMAD}}$', size=12)\n",
    "\n",
    "Leg = Ax[0].legend(loc='upper left', frameon=False)\n",
    "\n",
    "#Ax[2].set_xlim([0, z_spec[zs_agn].max()])\n",
    "Ax[0].set_xlabel(r'$r$', size=12)\n",
    "Ax[1].set_xlabel(r'$N_{\\rm{filt}}$', size=12)\n",
    "Ax[0].set_ylabel('Fraction')\n",
    "#Tw = Ax.twiny()\n",
    "#Tw.set_xlim(Ax.get_xlim())\n",
    "#Tw.set_xlabel('$r$', size=12)\n",
    "\n",
    "Ax[1].plot(nfilts, galaxy_frac_sec_peak_nf, color='steelblue', lw=2, label='Galaxy')\n",
    "Ax[1].plot(nfilts, agn_frac_sec_peak_nf, color='firebrick', lw=2, label='AGN')\n",
    "Ax[0].set_ylim([0,1])\n",
    "#Ax[0.set_yscale('log').tight_layout()\n",
    "Fig.subplots_adjust(hspace=0, wspace=0)\n",
    "Fig.suptitle('Fraction of sources with secondary redshift peak')\n",
    "\n",
    "Fig.savefig('plots/dmu24_SGP_frac_2nd_peak_vs_mag.png', format='png', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
