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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Example 4: Projected galaxy clustering $w_{\\rm p}$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In this example, we'll show how to calculate $w_{\\rm p},$ the projected clustering signal of a mock catalog.  "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from halotools.empirical_models import PrebuiltHodModelFactory\n",
      "model = PrebuiltHodModelFactory('tinker13', threshold = 10.25)\n",
      "\n",
      "from halotools.sim_manager import CachedHaloCatalog\n",
      "halocat = CachedHaloCatalog(simname = 'bolshoi', redshift = 0, halo_finder = 'rockstar')\n",
      "\n",
      "model.populate_mock(halocat)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now we will extract the *x, y, z* positions of various subsamples of our galaxies "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = model.mock.galaxy_table['x']\n",
      "y = model.mock.galaxy_table['y']\n",
      "z = model.mock.galaxy_table['z']\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from halotools.mock_observables import return_xyz_formatted_array\n",
      "\n",
      "all_positions = return_xyz_formatted_array(x, y, z)\n",
      "\n",
      "red_mask = (model.mock.galaxy_table['sfr_designation'] == 'quiescent')\n",
      "blue_mask = (model.mock.galaxy_table['sfr_designation'] == 'active')\n",
      "\n",
      "red_positions = return_xyz_formatted_array(x, y, z, mask = red_mask)\n",
      "blue_positions = return_xyz_formatted_array(x, y, z, mask = blue_mask)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from halotools.mock_observables import wp"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "pi_max = 40.\n",
      "rp_bins = np.logspace(-1,1.25,15)\n",
      "\n",
      "wp_all = wp(all_positions, rp_bins, pi_max, period=model.mock.Lbox, num_threads='max')\n",
      "wp_red = wp(red_positions, rp_bins, pi_max, period=model.mock.Lbox, num_threads='max')\n",
      "wp_blue = wp(blue_positions, rp_bins, pi_max, period=model.mock.Lbox, num_threads='max')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "from seaborn import plt"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "rp_bin_centers = (rp_bins[:1] + rp_bins[1:])/2.\n",
      "\n",
      "plt.plot(rp_bin_centers, wp_all, \n",
      "         label=r'All galaxies', \n",
      "         color='k')\n",
      "plt.plot(rp_bin_centers, wp_red, \n",
      "         label=r'Quiescent galaxies', \n",
      "         color='red')\n",
      "plt.plot(rp_bin_centers, wp_blue, \n",
      "         label=r'Star-forming galaxies', \n",
      "         color='blue')\n",
      "\n",
      "plt.xlim(xmin = 0.1, xmax = 10)\n",
      "plt.ylim(ymin = 0.5, ymax = 5e3)\n",
      "plt.loglog()\n",
      "plt.xticks(fontsize=20)\n",
      "plt.yticks(fontsize=20)\n",
      "plt.xlabel(r'$r_{\\rm p} $  $\\rm{[Mpc/h]}$', fontsize=25)\n",
      "plt.ylabel(r'$w_{\\rm p}(r_{\\rm p})$  $\\rm{[Mpc/h]}$', fontsize=25)\n",
      "plt.title(r'$M_{\\ast} > 10^{10.25}M_{\\odot}$', fontsize=20)\n",
      "plt.legend(loc='best', fontsize=20)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 7,
       "text": [
        "<matplotlib.legend.Legend at 0x12de16650>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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lyCokmAihDgkmDk4axpRpHkTjvG0LriHr0e/bg8ZiAcD8Vo1/Qkp7bIWLqFylyMwkmAih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\nQghhNCQxEUIIIYTRkMRECCGEEEbj/wHyYARlb8C/dwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x12dda3390>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Calculating cross-correlations"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The `wp` function also supports calculating the cross-correlation between two different samples. Here we'll show how to calculate the red-red, blue-blue, and red-blue clustering all in a single call to `wp`"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "wp_red_red, wp_red_blue, wp_blue_blue = wp(red_positions, rp_bins, pi_max, \n",
      "                                           sample2 = blue_positions, \n",
      "                                           period=model.mock.Lbox, num_threads='max', \n",
      "                                           do_auto = True, do_cross = True)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(rp_bin_centers, wp_red_blue, \n",
      "         label=r'Cross-correlation', \n",
      "         color='green')\n",
      "plt.plot(rp_bin_centers, wp_red_red, \n",
      "         label=r'Quiescent galaxies', \n",
      "         color='red')\n",
      "plt.plot(rp_bin_centers, wp_blue_blue, \n",
      "         label=r'Star-forming galaxies', \n",
      "         color='blue')\n",
      "plt.plot(rp_bin_centers, wp_all, '--',\n",
      "         label=r'All galaxies', \n",
      "         color='k')\n",
      "\n",
      "plt.xlim(xmin = 0.1, xmax = 10)\n",
      "plt.ylim(ymin = 0.5, ymax = 5e3)\n",
      "plt.loglog()\n",
      "plt.xticks(fontsize=20)\n",
      "plt.yticks(fontsize=20)\n",
      "plt.xlabel(r'$r_{\\rm p} $  $\\rm{[Mpc/h]}$', fontsize=25)\n",
      "plt.ylabel(r'$w_{\\rm p}(r_{\\rm p})$  $\\rm{[Mpc/h]}$', fontsize=25)\n",
      "plt.title(r'$M_{\\ast} > 10^{10.25}M_{\\odot}$', fontsize=20)\n",
      "plt.legend(loc='best', fontsize=20)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "<matplotlib.legend.Legend at 0x131993b50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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EEyHUoUowCQgI4Pr164l+4kdy5szJ9u3bk+z4yUkGxqQVFxfHjh3bWLduDZs3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\nUNatWLEaixb9wdq1q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ExU+e+bbhPiQyArvwpRhKWlpfHVV18px03k5rPPPqNKlSq0b9+e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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x13192b790>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}