photutils_951_tests.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# photutils v0.6 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: AstropyDeprecationWarning: Composition of model classes will be removed in 4.0 (but composition of model instances is not affected) [astropy.modeling.core]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "'0.6'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import os, sys, itertools\n",
    "sys.path.insert(1, os.environ['HOME']+'/src/photutils/build/lib.macosx-10.9-x86_64-3.7')\n",
    "\n",
    "import photutils\n",
    "photutils.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from astropy.table import Table\n",
    "from astropy.nddata import NDData\n",
    "from astropy.visualization import simple_norm\n",
    "from photutils.datasets import make_model_sources_image #make_gaussian_prf_sources_image not in 0.6!\n",
    "from photutils.psf import extract_stars, EPSFBuilder, EPSFModel, EPSFStar, EPSFStars, IntegratedGaussianPRF\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from astropy.visualization import simple_norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# not in 0.6 so add it here\n",
    "def make_gaussian_prf_sources_image(shape, source_table):\n",
    "    model = IntegratedGaussianPRF(sigma=1)\n",
    "\n",
    "    if 'sigma' in source_table.colnames:\n",
    "        sigma = source_table['sigma']\n",
    "    else:\n",
    "        sigma = model.sigma.value  # default\n",
    "\n",
    "    colnames = source_table.colnames\n",
    "    if 'flux' not in colnames and 'amplitude' in colnames:\n",
    "        source_table = source_table.copy()\n",
    "        source_table['flux'] = (source_table['amplitude'] *\n",
    "                                (2. * np.pi * sigma * sigma))\n",
    "\n",
    "    return make_model_sources_image(shape, model, source_table,\n",
    "                                    oversample=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.375, -0.375],\n",
       "       [-0.375, -0.125],\n",
       "       [-0.375,  0.125],\n",
       "       [-0.375,  0.375],\n",
       "       [-0.125, -0.375],\n",
       "       [-0.125, -0.125],\n",
       "       [-0.125,  0.125],\n",
       "       [-0.125,  0.375],\n",
       "       [ 0.125, -0.375],\n",
       "       [ 0.125, -0.125],\n",
       "       [ 0.125,  0.125],\n",
       "       [ 0.125,  0.375],\n",
       "       [ 0.375, -0.375],\n",
       "       [ 0.375, -0.125],\n",
       "       [ 0.375,  0.125],\n",
       "       [ 0.375,  0.375]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "offsets = np.arange(4) * 0.25 - 0.375\n",
    "xydithers = np.array(list(itertools.product(offsets, offsets)))\n",
    "xdithers = np.transpose(xydithers)[0]\n",
    "ydithers = np.transpose(xydithers)[1]\n",
    "xydithers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>Table length=16</i>\n",
       "<table id=\"table47670564816\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>amplitude</th><th>x_0</th><th>y_0</th><th>sigma</th></tr></thead>\n",
       "<thead><tr><th>float64</th><th>float64</th><th>float64</th><th>float64</th></tr></thead>\n",
       "<tr><td>100.0</td><td>99.625</td><td>99.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>199.625</td><td>99.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>299.625</td><td>100.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>399.625</td><td>100.375</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>99.875</td><td>199.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>199.875</td><td>199.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>299.875</td><td>200.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>399.875</td><td>200.375</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>100.125</td><td>299.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>200.125</td><td>299.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>300.125</td><td>300.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>400.125</td><td>300.375</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>100.375</td><td>399.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>200.375</td><td>399.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>300.375</td><td>400.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>400.375</td><td>400.375</td><td>3.0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<Table length=16>\n",
       "amplitude   x_0     y_0    sigma \n",
       " float64  float64 float64 float64\n",
       "--------- ------- ------- -------\n",
       "    100.0  99.625  99.625     3.0\n",
       "    100.0 199.625  99.875     3.0\n",
       "    100.0 299.625 100.125     3.0\n",
       "    100.0 399.625 100.375     3.0\n",
       "    100.0  99.875 199.625     3.0\n",
       "    100.0 199.875 199.875     3.0\n",
       "    100.0 299.875 200.125     3.0\n",
       "    100.0 399.875 200.375     3.0\n",
       "    100.0 100.125 299.625     3.0\n",
       "    100.0 200.125 299.875     3.0\n",
       "    100.0 300.125 300.125     3.0\n",
       "    100.0 400.125 300.375     3.0\n",
       "    100.0 100.375 399.625     3.0\n",
       "    100.0 200.375 399.875     3.0\n",
       "    100.0 300.375 400.125     3.0\n",
       "    100.0 400.375 400.375     3.0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nstars = 16\n",
    "sources = Table()\n",
    "y, x = np.mgrid[0:4, 0:4] * 100. + 100.\n",
    "sources['amplitude'] = np.full((16,), 100.0)\n",
    "sources['x_0'] = x.ravel() + xdithers\n",
    "sources['y_0'] = y.ravel() + ydithers\n",
    "sources['sigma'] = np.full((16,), 3.0)\n",
    "sources"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = make_gaussian_prf_sources_image((500, 500), sources)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0xb1a8005d0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 15))\n",
    "norm = simple_norm(data, 'sqrt', percent=99.)\n",
    "plt.imshow(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "nddata = NDData(data=data)\n",
    "\n",
    "stars_tbl = Table()\n",
    "stars_tbl['x'] = sources['x_0']\n",
    "stars_tbl['y'] = sources['y_0']\n",
    "\n",
    "stars = extract_stars(nddata, stars_tbl, size=25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nrows = 4\n",
    "ncols = 4\n",
    "fig, ax = plt.subplots(nrows=nrows, ncols=ncols, figsize=(15, 15),\n",
    "                       squeeze=True)\n",
    "ax = ax.ravel()\n",
    "for i in range(nrows*ncols):\n",
    "    norm = simple_norm(stars[i], 'log', percent=99.)\n",
    "    ax[i].imshow(stars[i], norm=norm, origin='lower', cmap='viridis')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PROGRESS: iteration 10 (of max 10) [0.3 s/iter]\r"
     ]
    }
   ],
   "source": [
    "epsf_builder = EPSFBuilder(oversampling=4, maxiters=10,\n",
    "                           progress_bar=True)\n",
    "epsf, fitted_stars = epsf_builder(stars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0xb1bf99bd0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "norm = simple_norm(epsf.data, 'log', percent=99.)\n",
    "plt.imshow(epsf.data, norm=norm, origin='lower', cmap='viridis')\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999999999999998"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "epsf.data.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0xb1a519610>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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rK/sQRiGRtStBaDTepU528wyjJpDn+3pnszyr6iJvE0EyZwedqNCWoDmhU0VN54iVMQHPPuZEzUtCMIpAIDCL02IUh0z4qgah8ebQ+hqg+VTxXJvo3QSvvmECBSZ9oWAS3qnqbOoxBqdRJJdqL7M061HI6leLnEEsl+N4VhjEknudpVkdayGMQrQJLl+qVlEyCr1ug1l4rcKWCaPYiFbB23thFoZRbJhJbGS1NGYSG14vdGC2MPD9DZY9KssYeJt8H7y9yhaco5Uv5168z+5PenjvUNa5/JhYyUcdrsQMKsxCdAhnLs329VPS/cSxSw6fF4wiEAjM4rQYxRZU1wkF2hO+7G/vWNVYdwNAMxDu4CZ4eWYxHtNgEprPLRu2TJmEWDRWbu3MlWEUwhSWOZPwDEJYw6orGcVStQrRKFI1BYBuR8V9MF3zoNpEnvbcJW4qjGK9yMuEYYjWIsxiIyuVG91GWIbqF+qjztsLC8e4V1k2YZo2bzWDnElMIf06l5f3atkBa2XeIiLfp9cjYCwhUtarHzsnt8e1OxhFIBCYxekwisz1+uLBaCbrh/GjkDGs0yb8quK5RsEMwgXC9UFnahO8em/dUG3C+UgYjWJiEtzrc75bsd7AveZyNQ1KpYddLcayFTMKzXeeUUzHKusgYRZ8Hc8oTC/a0iY8rFYh7MIzig33qhvHLABgzduEUQjDWPdj+VotNbyfWc1cvLlVvygsGV1WzoWctnQH5OWwFgv+LhqrsxN/RzRM35b2+lJvsVqJDqEBbAwrlncnQZdE59gryE1l3x0RjCIQCMzidBhFBbVAuUUwmiLMnWn7ZOznmYVbVTxfkCf3vCyYhLKEnFlk29Sfos4k1KIB4yexyrWIhegOTocAJuZwtswZxMQoeLvs102zpzyj6DhdFVpFaZdfNJhFX7V68HPkbWvNM5OoMIpzpmLnzCAW3BvLdYUhdbwi+dqyR95H9ItJm5CJXbKnedfT0Zwml+dcsr+ZMUgQncEzC9nO36dhPTLDr9O1VfmgDb9bCX9gNArVNUSrkO/eBbnJA/IeX68IRhEIBGYRDUUgEJjFaQ09dhAxFS0RMzOPMu1UMVOGIF2WFwETMGZQN9ToNfVDkOlyxQSvpjOVofWNIceKxUsxdV5bTcMHGVLIUOPaYpOVy1DjrBOzqRm2OBFz5YYgMvRYGGK+j5jZIx96yJBjrUMOFiiN09QZLwl2zu9ShyKcv9WP+WkoMtVLgim23M3lbvKtUkfZmDsoyTDCMnkdkWmkrpSV927dVDJDKx2GyPfX50NiHYoYAVTHNE7UhOwr3/8uouYBCEYRCARmcVqMgtF0rgLmRUzTQxWu2gs34UvSpXXDpqysWMGrEeNyLJthEstcuAQmJiHmT2ESyhZWOVsAgGvLsUyZRFdnFNe6XNwEgCUJk8idtIRB2H21jtwPLyoCJzA5UQ2V8CRq8kQuXooQuTGLqsq+S01FeF1kdb3VjQ84cwrj37fWLAhyVXg5j8l8auqmmmGqMwsREDPzqDKKPD+4+J7yfZCJ4EUrETjHtNvIZEXn2t1PtZTvuiVqeges8efxnbCCUQQCgVmcJKOowU/+amoT1jza5VqEuNMm1S5y0yfQZhLJryDuYlxm+zbdssWZyrhUO03ijNmCmD6vO/YATIzi+mJcDku0iGtdnWmsyGoUOcuQvLCGlTGlah39yJ670SHl/UxfYxS8UKiwDWESwh7WllHwthU/3Fu9MIoxLwxjF6cwr1XU5kVNE9eEOeT7DsoszDHFeqjyncgEL85LR2++LVmHRL+/Va5VkJh27TcseoXXKtxq6hcKbLMHglEEAoFZnA6jsHrEtjU6JPX7OEcsAIU2oVYOp01kGoV3vy7csX15Zcq4C0IzWTbG3mBhnaecJtFiEs9ZrvWY60thEryNmYUyCpfWGUW+TViDsIWjWT04VLawDWEQwjQyRsG/b4l+Iil3zx2bnmqMogWN+r2qbZR6Szaf3j7pENZpKmcZxapm8n24Vc6A6TvzWoV8n6JVqAMWUDJocn8HlYlkUEtLqV/si2AUgUBgFqfDKOBctmF0iTEzJn6NjsbEr/G385toaBNZgFdlGY28W2fDmrw1EK4LX0cu0MzSBKHxfhItJnHdMAphEM9Z5MxCGMT1jhkG9+ZWd7guZZxK73wmeeSh8iwWaFg9Kv2Nhrrjbecs5qhLNzOKm0bkWQ/iJ1Gf+i51+mx/8fG4D6QDTGHkklodhH3kYeYGa7mQ9y5WjqWUi9VDLF9j3ko+8r15raLlVwFUJozJd79tLRCmSrqi2hGsH8EoAoHALE6KUShqAVC9NiGpemhWFGMJnbZ0TGKZM4nMF0L0BbeKeLGSlwunn/124eu8r4Sd4OX9JFpMQtiD/f2c7nw8hrut+xaSH7eL/nCdpmNVo2AGIb205is+E12DSXgMpt8R3wrRJlap53LRKrgeaepyb/IAX8om/eSM04t7GKpnqLBHs031C6mzahPyvTBDNJLB4Dwv1UFSvge+Ha9XAROTULah3yMH6Fm3v2H9zjdOd/D+FMB2b809EYwiEAjMIhqKQCAwi9MaejTiYQI2DoUTNckJQ5kLt4iYTPEWfsiRl4/bkG8TStlJecr2sw5XOvTgVKNli5u0i0wFmCGHiJjiTOWGHNnQg4ccUibi5X1da+hxPl3PuXAvNB5FPvSww42W67ZHbxywJA7EZBbts30kf27Mox2b+MRMWjp67S7KaYQtF2mrNyGudI0RWS9E3vmQi4DZQsoy5JC1VTb5d0IqYorYXZreO/c9yopn8r3S2nzDIl46MV8Xbtbo3OZvp3DrPnwMEowiEAjM4jQYBeWm0cJdGygdq3RSWM4k1CQK6EpSyU8rVyYBzk+X8aKlZw7JiZhWzJwzh3qnKlsmIub1Rd2ZSliELRMGoeZQTkW8vK7MwppH+fzquj3k+YrDld5ew8Gpr6yPMU0zZ/Mo92rCNIRJdMYTasGM4qZ4tXmCuYODlZplFzmT2LgVyoCJUai47c2lyjSMYC2u28I6lq7ciZhkvy0VOkXMdKKp+16Bilv3pjGVgcq/H28mPYRYBKMIBAKzOA1G0YIdd82ZRbtyrKZMQrYJO2ik42/HNnQfafX9sRVG0VjBa+ViXAKVqeI86aflTAVMTGHSJm7l5eQ0CsNGVtytnHkzaeHCPd1Xi0l42ElhvWoEXXadNXe5k2PX9CxuDnlszEWqsxuvO4zXG6/zHGUSPK2dn9vGrRkCAP0yN9nqmqe60nrK0vG3fGfItk16w1jeLahybCP1zNdoFOTX1p0zk443gmMjGEUgEJjFaTEK33pu20fVXt/iGoVaW+p8X0knK8h0+mGGdRS9jAnH5lcV9yt4rVwIO8AEmxGtojGxS5ypgNK64ZlEySwmNiIs4wzO+qGMImV5YDdtAMgD10yMYsjyBXMxYdoktN1N0S1kk/gUbenXfOi9jQTGYSaxYRFhPUzPXpiErEgmDGPQyVrCIi0rcFavRZ2tDsospjoOno00vk/7Dav25tezqTklumN0otgRCEYwikAgMIuDGQURLQA8DeBjKaVvIaIXAXgrgAcA/C6A704pnW87B5s9aueeMq0WVVrchWuVAW2ZlUE4a8fUsk+HJLcNhSYhqXPXBkALsXaI/wQzC/GfqKzcNWkT+WSwYoJXN/lRFNaNBpPYzijceh7qul1jFLvBKgnCIHrnz+D9NKz+UGghcmEJXKvj8fwawOR7oYxiIYFxRKtga4vp4nsuW/P7Wfe5tuT9bsbfKStTNuq+peI7Mr8naxtbP9Y5k7DfsFyHnBZHjlHnk8IcTmSa+esBfMDkfwLAT6eUXgzg0wBed4RrBAKBK8RBjIKIHgbwTwD8WwD/gsZm7esBfCfv8jiAfw3gTTueT36MabZSmLS6ztpBnllU/Ch8a1+wBKtr5OngrR2OaeSMgntjsXa4NUAltYFypzB2PjAup5RPkLK/rzcmf3kmcT1jFMwk3HTylTKK/PYAwAyzt8IOhQc+X8/pmnv/ThlFyVya5+UeUe5XLBf2mchzUpbAL/eaaBVu9TRgCsfnV3jvF5KK7mXq2PiW5Dsh/83V2Ejre1TrXGVSmA/MpNYPfreVv5Vjhsk7lFH8DIAfxsQ6nw/gMynplMBnADx04DUCgcAVY29GQUTfAuCTKaX3EtHLpbiya7U5I6LHADwGANdx3w4XdC2r88ycVq02F3ZWjqLlrmgU8IxB93GaRCc9SBngdU6byNcCrQe79SHr7FRxmbuhjKHL855JrIyvwko9MUWjyG/3jMpX6HuTheoPyZWXOHfMYa0RbHmH7HJ5YF/RIK7z+5J5Gte5joOpqwbmZSbhgwgvK89e9IqVWkicVsHvc7BWD/cdTAzTPcia/lV8f84js6t8wz5gk//+j6A/7IJDhh5fB+BbiegVAK4DuB8jw3geES2ZVTwM4OO1g1NKNwDcAID7u+dfbgjhQCBwEPZujlJKb0wpPZxSegTAqwH8VkrpuwC8B8C38W6vBfDOg2sZCASuFJfhcPUjAN5KRD8G4PcAvHmno2oRty2tcg4mqfNDkLZpqXCVbYhJWVnhZiupG3pYMbOToUddxFy6FDBrgfohhwqUpZh55sTLFRrDFidcjseIiMnX13qI+ZJFx8oQZOFGlnKsH4IAwJCEvo/5tTj/KEPnOtlDde4Su1ZDJnJ12f3KxLK1eSbynCQW58pF8p7WXDXxShvvSd4fVd7xNFxww4bm9wJzrE+9q3jbxO8dDHWP2qp6PurVNuesHXGUhiKl9NsAfpt/fxjAVx3jvIFA4DRwYi7cfl7x1BIWplNpYRvl4zY5mPO+lXfl9hhNtS71NPMJ65zTkmcSlKfjNi9e+nU38tTue+ZTmfCFnEmcmevNMYkV90xdZVS6qLAMYAo4YzHINcVFWw51zOLMumnxpinoTD41XSaYrd2EtvG3CJP8vHjy2WrIxUxZbQww78MzCydKZ7fdErvlFvz3Yx/j3Heo32tp6kzO5FmYQLfFmT3CJLFw4Q4EArM4LUbBoEbPBaAM1CGts7TKtUlhzuzkx4i5SVVS0SJcXuqovY0xj/oxLpcvtOfKg8MA5djZ6wx+TQt7vk7dsDfuWOdMZe7PMwlhEKpN8A1b9lBjFxbyGIeMHYhTlJxD6i9MI2cWwKR1rHQimWgV404S7Gbh7m+sg9xr/vz0ueq6pSWbk/NJVYr3SKUOpQxCv5O6ybNurs/vvTDj22/YSxA7TAqbHK2Oh2AUgUBgFifJKBSVsRo82yhCgtltY+LHjXBpbRxZjhs51d6gZBS+KtKb+RWvrAOUDz3nXZvPqhoFTyRzU8QXzj16pXmYY3NNYtImODQdRKOoWD0azj19krqbQLnirKQPss/zYuEw+sbKuX37+5L7XUOeyXS9M/59iznT9BxzJpE/+/y9TO+Lq6ip6Zvlt34HoiHI9jzd5dtqHVutjJ6rrc1dBoJRBAKBWZwWo7hIq9iyfmT7bE+Llry6b2qUc2JduN2YllyP5VP721s7OqdD1ELT6T5urU61uohlwTyblnXDM4kWe6ihuq8GpJHzOr0kiUVmOmRoMKMO7lmk2lR4xxyc9aMb2s++c+9L35vzpxgzrTRnGDV20GQOte9QjzmAORyRZQSjCAQCszgJRkFwlo6ta49uV31rzGIaC9bHk6nS6rdb/1KbKKraYhKOCQDt9TQXbhp4bS3QhWMbpVZRq1vdurEPk9gGPY8EyJX3woN27dmTZQV8bON+Fp5ZZP4h+T5FfRzjGM8zz/g85L2nBtMs/Ci2ambyPebXq7JjrbRjFrWwkS48/1Yr4o4IRhEIBGYRDUUgEJjFSQw9DkERh4Iq21BuG7dXTtikkqm6X2YeRVkGlBQ32+aGJT4a9nQOS7Nzel2Kf1KOLF/DnDPVsSDX6V1I6Fokrck7uhQtAeNwlsphho8ifpFnL1BR0+WzQkbSoUj7O5z2dQXFubaZ+Kl12tuCYBSBQGAWp80oLit6z0zLfpFjt+tOdVFsUSlvrRjeEufGbRd30lVHK1fxY4mYxfVkQlcSd2ni/Jiu64fVz7XlfpsipmdfO4jQHtV3vOs3c8ixF8ElR7oKRhEIBGZx2oziWLhk91bBNjciJU8AACAASURBVLPa7udoM4h94QPOnBJs3dZ7MKQWjvEcj/E+d4J+n7fpensgGEUgEJjFvcEo1KnncnvWoWpGueg5jt9221B1qy37XQVqYfSOgWM8x2O8z51QCfxzaghGEQgEZnHajKJiJz/OeWfyFzh2W2fQ6pH6Snnf6AG3r+B98R5PevDOBb/t1dX6uH1H796hTCvfh0lsu9/Wc/LPtfbsBa33VX3Hu1b/kGMvgsv6W2EEowgEArM4bUaxA0iae41NVtmm7m3+2MoJ3Xl07g/3Nsntl0wvpIe6nkmDxVZ6LCmTffrGvoNp07WX1Lk/+TmkbxEfyG1rhw460WrXFUb3w9Dwc8hXQM/L/DPR/VIebDc7X3LP8QLPXpDcu87eZ/ENscek//4q31bxvRXnSmV5ctuuCMEoAoHALKKhCAQCsziJoUcCkFKaCOBQoVmyHoNQsNo+qFM0cvSNUj4UqYVEbFJJoaU7iGJFqjTYDCNaIpyuksVU2hwj61zoPo6iT7S7fBaygte07oaPD3EcUVNETKmDiJgyBBlqa4HIsY37kfsd9NnY4Vi+T1EfOdY+RzTe05Z3m6ZZgpwiS/33Q9VhhKSp3Aczwwz57vXvoDKkc38b6QjDlmAUgUBgFifBKBQXaflS3rJWW+EmKwAf48qr+0rPURdN0zD1PsPQ8a4569jWY+nkqGEUE2XtzIEjbQ+ONdjfgxP1pLeeeuCxkuc2tqR6C0tUaq7HFGY8224xF4XbQpiEMghO10nqyHUz761PkvrnlbMBzzTG8+f7rIclpwt3rvLZD+596XuT92necfubqjOMXFyfOwcKkPvO9/obOQKCUQQCgVmcFqPwsC1iq0X1msXWMWFertuH8pgm6xjyMWpmHnVV2QzSy7mp1XacnHK9wZsEz2UNzTQFfFnz73Pka3B6k+Ba1+5I5li5sTHRoC18Tg0WU1kpbEjb17C0JlCvSQiDkHSt2yesXf09c5CVwtb8TCQdty2zfQevawjTyJ59/l6m9zVunz45yyiEgjV0rj2+ra2mVV8ZPdcBTGMPBKMIBAKzOElGISptVXsuVN8x0da5n1pW4n1Jj2HnmAHV8nyb9Bwpyydu7mXcansbGdPq2JbLRZ3f6Hh5ap/Xuo17vE56zXxsbV2P1eGIpJccX2NrxbBs+rZqFEqR+P9xw7TuhrXM5EFnPPqqBaOuSQiTkIA1a3No7xjX2jEIb+3oa1pPyp+fPlenc4zbFtn59In492hZ45A/g+k7yfPKJOyj128p3+a/0+wbzl/TrNVv3OX47CIYRSAQmMVpMQqxCS/Yndi0mslbN1w+VcZqfuw3sYV6uT3GL9tg/Iqz1Dbew5D3/v2Qs4VNytNxG/eAwiSc9UPTmkaRZL1Qt2KYW8fU9moapNczC2cNqQVtaU5y2+Kv0WIS0mmeW3bF/da5povsPs8dW7AaheoWztoxMQtO7bN3bE7el1pdlDXaG6un8mSK76eiUTS/Q/1eS22uZf1I2xhGzcdiTwSjCAQCsziIURDR8wD8PIAvw9gu/jMAHwTwNgCPAPhzAN+RUvr07MmGNC2WqV6YQ77dXntwLWrv9AhMYz3q82P8ODJjFFLWu9SNQVWj6M34dZHb33uXblwKAOtOWIbvLcf0plo9ptXMlUmkMQyNBJBdiFelX6/UEgEuOnNdoegMZ4WGMfUmwgYWzk9DUOu/xE9Ctq0dk1ibvqrUJjiFPIsVH5tvH7ctq8dOz7V89gWT8NpE5R1Dvx33DTW/l+lQXzZpEnJs+Q0r9UqVbYDR7OzfylDf5wAcyih+FsCvp5S+BMCXA/gAgDcAeDKl9GIAT3I+EAjcwdi7oSCi+wH8IwBvBoCU0nlK6TMAXgngcd7tcQCvOrSSgUDganHI0OOLAHwKwC8S0ZcDeC+A1wP4gpTSswCQUnqWiF5weDUxUSsv6vS8NH1lLn9hdlK6WB+CAGiLVWIG06AJ+RAEMA48XLbpmUovxK2YRblheuxnQ59t8+ZREedu0hTtUqJTLTi9yfez6HLz6IRp2DKJlnI744+VulyLaXWCj1TRipZt3bF0gleSY3KhV4Yc1gHqpnOkkvTmcJbn0xmn0zNREdMPW4ZczLTPXp+5DAl7GXo41+6hHHqgz4cg7e9mOrQYchT5yjfsvvPS0epyI1sJDhl6LAF8BYA3pZReCuBvcYFhBhE9RkRPE9HT63TzgGoEAoHLxiGM4hkAz6SUnuL8Exgbik8Q0YPMJh4E8MnawSmlGwBuAMD93fMTlwEwragVYbRl5X6LewM/3Zb6qYUl7ilKEYlTJyKN23KW0fXSq+S9gDbkVszk3z33TJtFXSw776c++pwZxJLvZ8U93i0SJyeevGXETBU6BxYzu3Ef28O2IM5T6mDlXKy90xawe2+SR6vKGYS6lafcBGoFyYkxrLLU369nDQBwi4+9xc9PmMMtZRKcmmffEpvl/amImYmZY+K/pa6nann2bTWEzlLcrAiTflq5/B1s+Vs5puPV3owipfQXAD5KRF/MRY8CeD+AdwF4LZe9FsA7D6phIBC4chzqcPXPAfwKEZ0B+DCA78HY+LydiF4H4CMAvn3+NIm76Hw0bFtEbw7V8ZwyibZpScq6DaeN1n88jytrmb+EaWSMgse4fN2WVrEYDKPgnm/J93GLe5MlX0gcn1Y0KQDa23MzL2ZR7dJd859PUZfJZz3n++yctRXE/WrfLQzZdfJxfq+Mgnt2lKygYBRDziwkvTXkqd1XGMWtPmcW584Ra/zd0CaUUfCDNO9Y3rv/Hgqm4b8jWPbB6cZ9s1tM/MokvFuAz9dwBB3joIYipfT7AL6ysunRQ84bCAROCyfmwu18XBdebzf7OGaRdOxWshCSlnvlGIbIHabHmMr4HA0mIXmriAu7UCaxWfBt8AQpHh/bFbVVoyBJhWHkjGKBs/JZMHQlb2ES8ih40tj1zvT0bkJZ76aid95ZCzUrSh3bgutMjIJ7eOdMBVjrRu5gddMxiL/j/f6un56JMgmXiiYh6dpoFPJbHeH4fQ3e0WqoMYo6s5C084wDQOcYQ/F9OmbBlcm37TApzLOPYyBcuAOBwCxOi1F4WFdU9aNwqq+MObWVNlaPTd4at1p/2+rLmFCtHcIcVNfw5yoZhTKLLu+p1sIOuqmOMpZecploFV0v7tnCKKZjhGV47UCD7SqTGJ2ue9MjXqexTKZsS89+JpqIMopyXNtiFrUVvHzAGLmOv27mC6F+E3VN4ubgGYYJXMO/P8vP7dz5TchzXlv3eX4vyiQa1g7KNApOVYsYt3UFk8i/k+zYwt1bmIV8r5WpC4W1w/09HHECWA3BKAKBwCxOg1Gk0U+B1DXC+VMAtfhkY9rnLaq0yoDRJKSl3nDrL6n0BsZxUdwVBk5ZMgBtXMrjfjIyikwKSxvuTdlTcsP5jvWIztRRGMOtbryQsgVOP9vPjzP9SlfS/It/wHUTcEaD3Tg/jTV7b4q3Zwdbx916q2xJAdS1id5N/DrPJnblGoXXJIRJCGv47DBpFBOTYFbCeWUSolVsKhqFvK8+f3/KKDaGUWykDHna5/nOpUDF2rHJv1nPLMZKCZNoeGZWQuV5C0g6glYRjCIQCMziNBiFQO29ojtMLav3n0gyx2OZe7OlmkahugP7N0he/CrMUxiUZfB1uAeR4bCwkbSQ1n86loRRdLlGQbxvz9eV+RzAND/D6w67+i4AZUCZXsPasRemYRTCJCQg70L9NNgio8F1jSayox2+tj5qySjyfD5VPPe8VEbB1g3RJIRJCIuwv29umElslllas3r06j/BqTCJTc4ksnesrMB58CqDyLWJzjDCaVv+PaqesSn1BnJMIimD9v4UlXd0xHkgwSgCgcAsoqEIBAKzOK2hh0DEl4Wh1D7qVctMWplQI+KhiFRCAachiHG4EjHTiZhSLnqdjB6ScWZSMVbq7UVN2c84XN2S6zoR8yKY1iDNhcJrXHk71LnOZTLUkOudSV7Mo5V61Eym9rpZmU4GE3MoR9J2Q4+bNu6lmDKdmdRP9FIx0ww9ZMjx2U0uYsqQ49Z6zG+MmLlZs1l0LUOOuohJle/Dfxde1KyJmeSGvOJo1fkhR21S2EXMokd0tBIEowgEArM4KUahU7mdmRSYTKUqYrKKlBZiYhpbXOpM28e9h+4jxwqz4ACOw9IKTpLmomXSPLJ8tzBmKemBuA6py5mMN5eO98Hm0fXFX4X02s+RWJ1u5aue67GyE6/Y3rvqhFmMz+0Wxp5YInnXHLzmYEVV73DlJ4X5QDP2d8sduzCBboyY6ZjETREzhUnI1H/z7JvmUGYYak63TlOuzIuYpahpvq21c9kW5uDNpBtzQf6dHNtIXuSsTAo7hllU6360MwUCgbsWp8Mo0gDIatk6/jLtmPrMktvHO6CYMZuwjKX0EMIkuFVe5qZQYNIX2Pt5YhCS7/IURqNIzBik+R14W5LeVXYtPZ71tmiH3lscrAZlEtxbshaxWeRTuO0Udfm9kuje6rrNZlI7qGZ4121hHXbVLaDuyi3MYSgYRW2aed3tetIo2O27z02gdl9hEuJYJebQNesRvdEoBi6DMIh17oCn6brUKOT70NSXO2Zhf8v3N5nv+f0Ik8imLnjHKqdN1CaAebPoEcykwSgCgcAsTodRzKAZJk/mg0uQEatROLdukpZ8WdcqgEmTUKvGWnpv0U8o324uJ5dOTA/IMQgpFzdqi7XrjJNzorLj/8EFhdlw9yWh9yTc3DWu5MoMsiUgzoqfm0xGE01ilcpPoqs4YVno1PUqo+CeHHm4Ob/uht33lpvQpVPFPdMwjMJbN1pMQi0cgD50tW6s81TYgXW4KqwcyhJku3PmM9+W1ybIMYuq1UOtepLmDPoy1hmtIRhFIBCYxUkyCrV+dLYHy926lWFwi5u496SFdeGWbTwGXQqDYKvEItcqACCtHaPgVMapkzaBPA8ohVCtQhmEbOfrlrFa1cdC5/ywoK+WjJVhFMIkJOAKM4kNz4nfyPT2TliD1SiGrGwlviaybqmE/j+a1SPXUaYVu/IVvGyZnyKubMFP8DLu2N660WQShlEIo5wYhNMoXH4sa6QNJpFpFMwgVKNw2gRVNAq1bsh33nLZNjrEMa0dgmAUgUBgFqfFKKRVrIzhC29NaY1FCPBaBaCigbbU3q+Cx4bdubVccGg453m5UCYhlg3HMDAxhU4sIdRgFqZ9lra/pUuLVmH7iL6xavqan4GE1ztbjPkz0yUWAXJkOQBhFOohWglc02AWfWWVc2EQkydm7lfhVxIHSgahlhHNs5ens2gAk8el+Em0mARZRjHDJMhZMuzvBTOGxbperozivJyk2PSbcOxhvAGnTdhttryGmBQWCARuJ6KhCAQCszitoYeDFWVE2BQqTjOiJgCQcEcZNzg3706GMdZpSmNKdHwom6FUvMwFy2RiPZQMXApSls8JIQucavWl7JA0yHYjZkr8BFnZaslrdDjXbV3r1DwTHXo4UdNPSrPxMPYRM70JdxJgxSxaDj3UlKpDKU5l6OGGHL0ZZuoEL4lXqs5UMozIhUtgGnKqICn5c7jy6R51SLHO8zrkOM+dqiQdf/P3t244WG3G7zVVzKNexNR8kjgsl2smDUYRCARmcTqMIqXSPXuLqCk9PLVETUDX3CgmjAnDkN7GMAoRIpVZcA+xUEbBqZhCbW+rfthwaZ1ZmNvRE0tPoX417ByWiZnSay5zUXNakYydqJg9rLKIWsIkZDq5FzHL6e77rBTmmYROVHNMos8YRV6mE7ncuhsa49IcK6KlTvByE7u8cDn+Rlbm3a8XyizMs3BlBZMQ8+i5OFVN36P8lm92EtndxK/Bipm5iOlXCKuicOE+nG0EowgEArM4HUYxg9IJyzlgSStt2IGZacWHOCYhrtbG7VsctmS8qpKBrBvaZAuA9PspK7ObPbOYyiZmIQn3kGIKtSuSMZNIbvVt0SrWPLVZWMPGOKEJo5BUzir70pYAOi2twsfstGXJOYfJGfxK4kDJIPyKa4Ou7crPzEwZL4LOFO7YFecpr1E4TUJYwsJoFGoWVS3CaRLCJNy0gfE3M4U1V0IdrlzemEBT73QM3XB7tAlBMIpAIDCL02IUMpbyWgVQ6hVeq/BRimGC25ALbqOu1jyONYxCf7aYQ1N3MExCe14/0wtluarXlGV1/ctVOeVet7F+4Vfh7phB9LrmqRljqzaRsrz6iFUYxS5T38e6lxpFcoxJLTVSXrkvjY7tVhlPPtCMCVHng87o5K2GMxVgmMMmz09sIc+PvzkVZnFLGIYwCrYinW/4+mUQmkKbUEcrF5QGKCd/tRhEzbnqiBPGglEEAoFZnBaj2AYdkwkLcD2tD2wDTGM9sWSIAk55mh2js9W7bNtk5ZC2dcgPQMWPQqfG574RFiSWmUGsHWK94UNkbG/C9SVd20QsNClLJaBNz7pKxg5kHZEuZxTyCLqu7Jn8bcn5vDZR678G9QPJ88oShgoL0TVcuywPvyZodQUvzyAkzd2y7baF0yR8eaZRCHO4lVs3NJUJX+ozMV1QfwuTEG1icNpEtvaoD9DktIkjumlvQzCKQCAwi9NkFF6r2OmQ3EMTMF4LnWMOLqWMUeTbpCXVzlNTmTI+9aPyMKWo91YO8So1Xe9k7RBmwecQhuFWVR9/i0aRMwn1FhXTjDCMzjAKCcDjNAlNu5IXTPsUm8brye1VrB/CGFLyaX4vdl/PHGQ2HRVh9E0dfdBbP7GrNsHL+0Q4jaLuR9HSJJhBOG3CMgr1xGxYOVLN6rGPznAJwWyCUQQCgVkc1FAQ0Q8S0R8R0fuI6C1EdJ2IXkRETxHRnxLR24jobP5MgUDglLH30IOIHgLw/QBeklL6LBG9HcCrAbwCwE+nlN5KRP8BwOsAvGmvi1gK5UymLVHTxodorgUi5lLlpYYyO2csHYLsMApS0XIasHAiQw4nbsIONfg2RJsSus3Di8E6XPUuFXdzJ2pOUbiMEOoihetQQ2NncJK5ptfutgLrR+YFXBlyyH24+8x+yzPp3ZBDvPU3eR4w5lAvZjaiZo+/RZAc84tiCCLDC2MevSViphty+Alf3qkKKCd97bJGx64i5iXHzjx06LEE8BwiWgK4D8CzAL4ewBO8/XEArzrwGoFA4IqxN6NIKX2MiH4SwEcAfBbAfwPwXgCfSSmJgvMMgIcOruW2enjX7tpaIJqvm/MyF27ZJkIn53dqUZMznbpelVSwtD2G70Xzqg992XvKymYqFApzcGufanUWbUahW7qcUaSak1WLWdQ6M88oBnewMqmK05R/Fr7creaWlamY6cpdBCpb1jm3bJ3o5ZypxrKcSXgRU5iEN4UCQJoRM7et0XG7XLVb2JtRENHnAnglgBcB+EIAzwXwzZVdq3dIRI8R0dNE9PRal+oNBAKniEPMo98A4M9SSp8CACJ6B4CvBfA8Iloyq3gYwMdrB6eUbgC4AQD30wPzzWXLvVvMlJXI3UWQG5k4Jjs4Ryy7Td28XfnWllWZQ+fyY9rXelGpt5AQ33vyG7I+ODIOlyU4Jm1CtAoud1Pjx9/iWSV591y9GRgNdlGB1V4mbSJPyTMoe19Di1FImps87bEtTcKvu7GoaBQ+zuWicKaaWMFFmYQ6VQGFY5Wf8OWD0Yw/3bO/zdqE4BCN4iMAXkZE99H4V/UogPcDeA+Ab+N9XgvgnYdVMRAIXDUO0SieIqInAPwuxmUpfg8jQ/ivAN5KRD/GZW8+RkXNhcf0gCA3niVkp3fbqFGuc8escUAZhPQMbJlhV2TKxe6sTKdOr8RxjLfL+qjmTQ3CJKRDckxC1z5V64exmAjbkAJhVXrDuVYxbtvN7JERD+9IplpFfnqrvci2rnesQ3QHxzC6zOFKylK2rVh3wzCKVvi6hXfLNoxCrRstJsGpMgnLKGSbd7S6omA0F8FBnpkppR8F8KOu+MMAvuqQ8wYCgdPCabpw7wPnXwG0fSwm/4pKsBs5nZzDpQUbMS1758u8i4KOwafr9eqezPvIOHwlea6r7T0lcA2/PXKrmul9Oj0i20cImbN2TJPgpmP28aNQBtHQKPSZVBiF9y0pGEVlpXDPMloreC0q7tg+fJ3qEDLB63x6+N5PYpZJ1ILQtKaO1ywct2nS1xzChTsQCMzizmUUO0wca/lYJDCT4OXAsmA3/hyunFxvQHasyL+7IRcChBXQmWgVhvWIziBrjfrFq5k9DOZNSQ8oZbLswNBgFhmj0ODAkq9bOy6PUeTbM1eXOSbR5/pDzTOz0Cj8WqCZH0U9fJ0POpMFn5mzbjgmUQ1Co9aOLUyihdusTQiCUQQCgVncuYxCsEP4vFlmYU8nh/rLuHLdnnlZyphzTORyaSVMgldcN6HphF1M2kQ+v0F6RssoxMpBzo+i8/4T3kPTbnMh/4p8jUVcwDPTMwplDp5ZVCxAysAa/hTKFmyIv01+bGtVcbsWaBlkph50Jpsq7lYgn2US1UC5M0ziksPa7YNgFIFAYBbRUAQCgVnc+UMPQU3cnHPzdkMQwJhB2a2WHC3Uc4hPtYllOTla5fskHnIoxRzM+qhCs1cSPVrES3HAoqx83MYps10RLwc31JgiX5n6F0OOXMwsInmhMQypoOZwVQ5BnOm4OvTI8zLE8OJmbh6tDzUmF+5csBzLGlPEN/nQw07s0qniG6c6e2cqL1wCd+SQQxCMIhAIzOLuYRSCLcFu5pgFUDOdOsFTemm5RMU8qiZUYSWyj/R6RoTDMnfzlhXJWgwDMOZQcbxyIuZQTAozLtydT73DFZcfWcxsiZg5o8hFTDWLDo5RCFvIxMwGg+jz6NgwjMKvBaqmT7fuhnXDVpGyEC8bTGKXKeNX7J69C4JRBAKBWdx9jGIbdpiaXphOG9PN9ZSZAJAzCvIuukvRPcw0Ylndi9fXVFOqYxidYRSiRXRL2YfP1TmmUQ2F50ymDW0imwi2l8NV3Y29ZBbWVJynyhIco1DHKGtmVpaRaxFq8tQVxM279it3tUyfVmdwZs/ZCV4XmTJ+wghGEQgEZnF3M4qWm3eDWYxFjYlkvsdQ1lAyCmUq0tssx8esTMKq6Et2wlpKcB1hCUwTmDUMS+P2LdYNCYknLEGmpK89o7DTzHNNIhXTzLl8W7Aa1X7a+xQMomX1MI/CaxSa98xC2EKmUeQaRMEgPHsApmhATotQHcKv4GW3tYLO7OKW3WISJ6hNCIJRBAKBWdzdjEKwI7MYixq+FrrEad4bJJPX3lIsI9ql1xmGPZ9aSHilbs8wFmtTR9EmlEnkeag/RZ4CmNy6ZyaFZfdYTLyr93xU6xEbfhTTNHOrUeTMAX2DSbg8AO3ZPYOYyoUdWI2CGcTgWEJLhwCmb+keYRKCYBSBQGAW9wajEPiW+yITycRMTo4lmN5Wz+71C9EueNZW1vPqRDG+Dls5tEdkDUPLAdBaVjjnVNiGZxJyjPWydGur6jqlnmwdy+rhtimDSI49ZPs4r1hlFo41WHbXO+agLMHtW9MbiqC3W47ZYtUYs3eOt+VFEIwiEAjMIhqKQCAwi3tr6OGxbSKZZvO2dOtap96N108sY5/kZCaFKWWWYYJsk5XKhP6a1czUzVuET42NKaZVl7f3t3BDD9mkZtLKOGOPoYce6qj6ZDbNhxX5vs786VfQ0u2lmKlDNj2/H05Y56nczdq7YReCpa3DRSZ26bY7b8ghCEYRCARmcW8zCkFtIpluu8iEMifUSa8t52cnqkzA8yxDer5OIl312bH2vCpwdrl5VNdSFVaysLQnZw5qGXart1vsvq5HzSSYPxONi+nLgenePbNwTKLYD5iYQ8E+/Pqexp3dsY6myTO7nwsyiTuYRVgEowgEArMIRuFxQbfvbEKZwOsX4k4sPZbRGwqWoXOr80lh1u1bGYIEs5FzSJ2dZmHvRVlHi0H4c2B3iSLDUGEMNl81jzY0Cd/z61Ru8+yTZxv5OQr2YK6TfB0bps+x6N5iEoJgFIFAYBbBKFrYxTkLpVUEKJ20lB3U3MA9y6CcDdC07Je5pmMDwjY8W1jkFhTAsAPPHFrMYl+0mESLadiyuSnbNQ1BtAPvLOVZSna5CzpPVfYp6n6XIhhFIBCYRTCKXTGnXWRFDd8L7wYOTD266BhuCneq+FEUWoRbyV3dtCXwSuV6NMcgugP7EN+Dux63alnYxhjsdq872Ott84FoXU+zF/CJ0H3ubiYhCEYRCARmEYziomhpF9k+7cA4Y7GdzIR834YvRjYxqaFnTFUqLRfm4nyOPTQJavQr+/S8WywLVcYA7Kc7bKljc63Pu9S78hAEowgEArOIhiIQCMwihh6HYhf3b91eH4qMm9y+gxuK2KGCFz5lWCKu3K36mH2mXRpDjtqw5SJo0PrmcCLfaes+xTlq19vF1NnYd7Y+9yBmGQUR/QIRfZKI3mfKHiCi/05Ef8rp53I5EdG/I6IPEdEfENFXXGblA4HA7cEujOKXAPx7AL9syt4A4MmU0o8T0Rs4/yMAvhnAi/nfVwN4E6f3BuaEzlrP1WQZzBrUfFo5xs/rdtevsoUW+/B17v2GPdHqjWtMQg/ZYtLMdryAQLnlmEoF5ve5xzDLKFJK/wPA/3PFrwTwOP9+HMCrTPkvpxH/C8DziOjBY1U2EAhcDfbVKL4gpfQsAKSUniWiF3D5QwA+avZ7hsue3b+KdzAuYkr12KJnFGwjL24zDqBw8GqhqV3siKqOUMMe2sEsa9hybH3fYBBzOLaYWfu6qm+BiB4D8BgAXMd9R65GIBA4JvZtKD5BRA8ym3gQwCe5/BkALzT7PQzg47UTpJRuALgBAET0qd9MT/wtgL/csz63G5+Hfep67I5rNx1hv7peDaKulwOp69/f9wT7NhTvAvBaAD/O6TtN+fcR0Vsxiph/JUOUbUgpfT4RPZ1S+so963NbEXW9HERdLwfHqOtsQ0FEbwHwcgCfLlbdmQAAA8lJREFUR0TPAPhRjA3E24nodQA+AuDbefdfA/AKAB8C8HcAvueQygUCgdPAbEORUnpNY9OjlX0TgO89tFKBQOC0cEou3DeuugIXQNT1chB1vRwcXFfa2YwVCATuWZwSowgEAieKaCgCgcAsTqKhIKJvIqIP8mSyN1x1fSyI6IVE9B4i+gAR/RERvZ7LqxPjrhpEtCCi3yOid3P+RUT0FNfzbUR0dtV1FBDR84joCSL6Y36+X3PCz/UH+f2/j4jeQkTXT+XZ3o6Jm1feUBDRAsDPYZxQ9hIAryGil1xtrTJsAPxQSulLAbwMwPdy/WRi3IsBPMn5U8DrAXzA5H8CwE9zPT8N4HVXUqs6fhbAr6eUvgTAl2Os98k9VyJ6CMD3A/jKlNKXAVgAeDVO59n+EoBvcmWt52gnbj6GceLmPFJKV/oPwNcA+A2TfyOAN151vbbU950AvhHABwE8yGUPAvjgCdTtYf4ovh7AuzG61P8lgGXtWV9xXe8H8GdgQd2Un+JzlTlMD2B0KXg3gH98Ss8WwCMA3jf3HAH8RwCvqe237d+VMwq0J5KdHIjoEQAvBfAU3MQ4AC9oH3nb8DMAfhi6wieeD+AzKSUOx31Sz/aLAHwKwC/yUOnniei5OMHnmlL6GICfxOhc+CyAvwLwXpzuswXaz3Gvv7dTaCh2nkh2lSCizwHwqwB+IKX011ddHw8i+hYAn0wpvdcWV3Y9lWe7BPAVAN6UUnopgL/FCQwzauDx/SsBvAjAFwJ4LkYK73Eqz3Yb9vomTqGh2Hki2VWBiFYYG4lfSSm9g4s/IbE23MS4q8LXAfhWIvpzAG/FOPz4GYwxQcQD95Se7TMAnkkpPcX5JzA2HKf2XAHgGwD8WUrpUymlNYB3APhanO6zBdrPca+/t1NoKH4HwItZQT7DKBK964rrpKAxMMObAXwgpfRTZpNMjAPyiXFXgpTSG1NKD6eUHsH4DH8rpfRdAN4D4Nt4tyuvpyCl9BcAPkpEX8xFjwJ4P07suTI+AuBlRHQffw9S15N8tozWc3wXgH/K1o+XYceJm1cuarGg8goAfwLg/wD4V1ddH1e3f4iRmv0BgN/nf6/AOP5/EsCfcvrAVdfV1PnlAN7Nv78IwP/GOFHvPwO4dtX1M/X8BwCe5mf7XwB87qk+VwD/BsAfA3gfgP8E4NqpPFsAb8GonawxMobXtZ4jxqHHz/Hf2h9itOTMXiNcuAOBwCxOYegRCAROHNFQBAKBWURDEQgEZhENRSAQmEU0FIFAYBbRUAQCgVlEQxEIBGbx/wFG8JisgMraeQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# should be \"truth\" ePSF\n",
    "m = IntegratedGaussianPRF(sigma=12., x_0=50., y_0=50., flux=1)\n",
    "yy, xx = np.mgrid[0:101, 0:101]\n",
    "data2 = m(xx, yy)\n",
    "plt.imshow(data2, norm=norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0xb1c19da90>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data2[50, :], color='red')\n",
    "plt.plot(epsf.data[50, :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0xb1b2b5ed0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(epsf.data - data2)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# photutils v0.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.7'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import os, sys, itertools\n",
    "sys.path.insert(1, os.environ['HOME']+'/src/photutils/build/lib.macosx-10.9-x86_64-3.7')\n",
    "\n",
    "import photutils\n",
    "photutils.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from astropy.table import Table\n",
    "from astropy.nddata import NDData\n",
    "from astropy.visualization import simple_norm\n",
    "from photutils.datasets import make_model_sources_image #make_gaussian_prf_sources_image not in 0.6!\n",
    "from photutils.psf import extract_stars, EPSFBuilder, EPSFModel, EPSFStar, EPSFStars, IntegratedGaussianPRF\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from astropy.visualization import simple_norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# not in 0.6 so include it here to ensure consistency\n",
    "def make_gaussian_prf_sources_image(shape, source_table):\n",
    "    model = IntegratedGaussianPRF(sigma=1)\n",
    "\n",
    "    if 'sigma' in source_table.colnames:\n",
    "        sigma = source_table['sigma']\n",
    "    else:\n",
    "        sigma = model.sigma.value  # default\n",
    "\n",
    "    colnames = source_table.colnames\n",
    "    if 'flux' not in colnames and 'amplitude' in colnames:\n",
    "        source_table = source_table.copy()\n",
    "        source_table['flux'] = (source_table['amplitude'] *\n",
    "                                (2. * np.pi * sigma * sigma))\n",
    "\n",
    "    return make_model_sources_image(shape, model, source_table,\n",
    "                                    oversample=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.375, -0.375],\n",
       "       [-0.375, -0.125],\n",
       "       [-0.375,  0.125],\n",
       "       [-0.375,  0.375],\n",
       "       [-0.125, -0.375],\n",
       "       [-0.125, -0.125],\n",
       "       [-0.125,  0.125],\n",
       "       [-0.125,  0.375],\n",
       "       [ 0.125, -0.375],\n",
       "       [ 0.125, -0.125],\n",
       "       [ 0.125,  0.125],\n",
       "       [ 0.125,  0.375],\n",
       "       [ 0.375, -0.375],\n",
       "       [ 0.375, -0.125],\n",
       "       [ 0.375,  0.125],\n",
       "       [ 0.375,  0.375]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "offsets = np.arange(4) * 0.25 - 0.375\n",
    "xydithers = np.array(list(itertools.product(offsets, offsets)))\n",
    "xdithers = np.transpose(xydithers)[0]\n",
    "ydithers = np.transpose(xydithers)[1]\n",
    "xydithers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>Table length=16</i>\n",
       "<table id=\"table47683756240\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>amplitude</th><th>x_0</th><th>y_0</th><th>sigma</th></tr></thead>\n",
       "<thead><tr><th>float64</th><th>float64</th><th>float64</th><th>float64</th></tr></thead>\n",
       "<tr><td>100.0</td><td>99.625</td><td>99.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>199.625</td><td>99.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>299.625</td><td>100.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>399.625</td><td>100.375</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>99.875</td><td>199.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>199.875</td><td>199.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>299.875</td><td>200.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>399.875</td><td>200.375</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>100.125</td><td>299.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>200.125</td><td>299.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>300.125</td><td>300.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>400.125</td><td>300.375</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>100.375</td><td>399.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>200.375</td><td>399.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>300.375</td><td>400.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>400.375</td><td>400.375</td><td>3.0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<Table length=16>\n",
       "amplitude   x_0     y_0    sigma \n",
       " float64  float64 float64 float64\n",
       "--------- ------- ------- -------\n",
       "    100.0  99.625  99.625     3.0\n",
       "    100.0 199.625  99.875     3.0\n",
       "    100.0 299.625 100.125     3.0\n",
       "    100.0 399.625 100.375     3.0\n",
       "    100.0  99.875 199.625     3.0\n",
       "    100.0 199.875 199.875     3.0\n",
       "    100.0 299.875 200.125     3.0\n",
       "    100.0 399.875 200.375     3.0\n",
       "    100.0 100.125 299.625     3.0\n",
       "    100.0 200.125 299.875     3.0\n",
       "    100.0 300.125 300.125     3.0\n",
       "    100.0 400.125 300.375     3.0\n",
       "    100.0 100.375 399.625     3.0\n",
       "    100.0 200.375 399.875     3.0\n",
       "    100.0 300.375 400.125     3.0\n",
       "    100.0 400.375 400.375     3.0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nstars = 16\n",
    "sources = Table()\n",
    "y, x = np.mgrid[0:4, 0:4] * 100. + 100.\n",
    "sources['amplitude'] = np.full((16,), 100.0)\n",
    "sources['x_0'] = x.ravel() + xdithers\n",
    "sources['y_0'] = y.ravel() + ydithers\n",
    "sources['sigma'] = np.full((16,), 3.0)\n",
    "sources"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = make_gaussian_prf_sources_image((500, 500), sources)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0xb1a36ff50>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 15))\n",
    "norm = simple_norm(data, 'sqrt', percent=99.)\n",
    "plt.imshow(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "nddata = NDData(data=data)\n",
    "\n",
    "stars_tbl = Table()\n",
    "stars_tbl['x'] = sources['x_0']\n",
    "stars_tbl['y'] = sources['y_0']\n",
    "\n",
    "stars = extract_stars(nddata, stars_tbl, size=25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nrows = 4\n",
    "ncols = 4\n",
    "fig, ax = plt.subplots(nrows=nrows, ncols=ncols, figsize=(15, 15),\n",
    "                       squeeze=True)\n",
    "ax = ax.ravel()\n",
    "for i in range(nrows*ncols):\n",
    "    norm = simple_norm(stars[i], 'log', percent=99.)\n",
    "    ax[i].imshow(stars[i], norm=norm, origin='lower', cmap='viridis')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PROGRESS: iteration 10 (of max 10) [1.6 s/iter]\r"
     ]
    }
   ],
   "source": [
    "epsf_builder = EPSFBuilder(oversampling=4, maxiters=10,\n",
    "                           progress_bar=True)\n",
    "epsf, fitted_stars = epsf_builder(stars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0xb1c9bdb50>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "norm = simple_norm(epsf.data, 'log', percent=99.)\n",
    "plt.imshow(epsf.data, norm=norm, origin='lower', cmap='viridis')\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "19.272599773582513"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "epsf.data.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0xb1c9e9f50>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# should be \"truth\" ePSF\n",
    "m = IntegratedGaussianPRF(sigma=12., x_0=50., y_0=50., flux=1)\n",
    "yy, xx = np.mgrid[0:101, 0:101]\n",
    "data2 = m(xx, yy)\n",
    "plt.imshow(data2, norm=norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0xb1cb20310>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data2[50, :], color='red')\n",
    "plt.plot(epsf.data[50, :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0xb1ba61790>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(epsf.data - data2)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# photutils Onoddil/daophot_testing as of 10/3/19 (SHA 9822e3c14d74d313fd78185df0c9331242832235)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.8.dev3925'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import os, sys, itertools\n",
    "sys.path.insert(1, os.environ['HOME']+'/src/photutils/build/lib.macosx-10.9-x86_64-3.7')\n",
    "\n",
    "import photutils\n",
    "photutils.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from astropy.table import Table\n",
    "from astropy.nddata import NDData\n",
    "from astropy.visualization import simple_norm\n",
    "from photutils.datasets import make_model_sources_image #make_gaussian_prf_sources_image not in 0.6!\n",
    "from photutils.psf import extract_stars, EPSFBuilder, EPSFModel, EPSFStar, EPSFStars, IntegratedGaussianPRF\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from astropy.visualization import simple_norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# not in 0.6 so include it here to ensure consistency\n",
    "def make_gaussian_prf_sources_image(shape, source_table):\n",
    "    model = IntegratedGaussianPRF(sigma=1)\n",
    "\n",
    "    if 'sigma' in source_table.colnames:\n",
    "        sigma = source_table['sigma']\n",
    "    else:\n",
    "        sigma = model.sigma.value  # default\n",
    "\n",
    "    colnames = source_table.colnames\n",
    "    if 'flux' not in colnames and 'amplitude' in colnames:\n",
    "        source_table = source_table.copy()\n",
    "        source_table['flux'] = (source_table['amplitude'] *\n",
    "                                (2. * np.pi * sigma * sigma))\n",
    "\n",
    "    return make_model_sources_image(shape, model, source_table,\n",
    "                                    oversample=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.375, -0.375],\n",
       "       [-0.375, -0.125],\n",
       "       [-0.375,  0.125],\n",
       "       [-0.375,  0.375],\n",
       "       [-0.125, -0.375],\n",
       "       [-0.125, -0.125],\n",
       "       [-0.125,  0.125],\n",
       "       [-0.125,  0.375],\n",
       "       [ 0.125, -0.375],\n",
       "       [ 0.125, -0.125],\n",
       "       [ 0.125,  0.125],\n",
       "       [ 0.125,  0.375],\n",
       "       [ 0.375, -0.375],\n",
       "       [ 0.375, -0.125],\n",
       "       [ 0.375,  0.125],\n",
       "       [ 0.375,  0.375]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "offsets = np.arange(4) * 0.25 - 0.375\n",
    "xydithers = np.array(list(itertools.product(offsets, offsets)))\n",
    "xdithers = np.transpose(xydithers)[0]\n",
    "ydithers = np.transpose(xydithers)[1]\n",
    "xydithers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<i>Table length=16</i>\n",
       "<table id=\"table47836916048\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>amplitude</th><th>x_0</th><th>y_0</th><th>sigma</th></tr></thead>\n",
       "<thead><tr><th>float64</th><th>float64</th><th>float64</th><th>float64</th></tr></thead>\n",
       "<tr><td>100.0</td><td>99.625</td><td>99.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>199.625</td><td>99.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>299.625</td><td>100.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>399.625</td><td>100.375</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>99.875</td><td>199.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>199.875</td><td>199.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>299.875</td><td>200.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>399.875</td><td>200.375</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>100.125</td><td>299.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>200.125</td><td>299.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>300.125</td><td>300.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>400.125</td><td>300.375</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>100.375</td><td>399.625</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>200.375</td><td>399.875</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>300.375</td><td>400.125</td><td>3.0</td></tr>\n",
       "<tr><td>100.0</td><td>400.375</td><td>400.375</td><td>3.0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<Table length=16>\n",
       "amplitude   x_0     y_0    sigma \n",
       " float64  float64 float64 float64\n",
       "--------- ------- ------- -------\n",
       "    100.0  99.625  99.625     3.0\n",
       "    100.0 199.625  99.875     3.0\n",
       "    100.0 299.625 100.125     3.0\n",
       "    100.0 399.625 100.375     3.0\n",
       "    100.0  99.875 199.625     3.0\n",
       "    100.0 199.875 199.875     3.0\n",
       "    100.0 299.875 200.125     3.0\n",
       "    100.0 399.875 200.375     3.0\n",
       "    100.0 100.125 299.625     3.0\n",
       "    100.0 200.125 299.875     3.0\n",
       "    100.0 300.125 300.125     3.0\n",
       "    100.0 400.125 300.375     3.0\n",
       "    100.0 100.375 399.625     3.0\n",
       "    100.0 200.375 399.875     3.0\n",
       "    100.0 300.375 400.125     3.0\n",
       "    100.0 400.375 400.375     3.0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nstars = 16\n",
    "sources = Table()\n",
    "y, x = np.mgrid[0:4, 0:4] * 100. + 100.\n",
    "sources['amplitude'] = np.full((16,), 100.0)\n",
    "sources['x_0'] = x.ravel() + xdithers\n",
    "sources['y_0'] = y.ravel() + ydithers\n",
    "sources['sigma'] = np.full((16,), 3.0)\n",
    "sources"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = make_gaussian_prf_sources_image((500, 500), sources)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0xb23203590>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 15))\n",
    "norm = simple_norm(data, 'sqrt', percent=99.)\n",
    "plt.imshow(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "nddata = NDData(data=data)\n",
    "\n",
    "stars_tbl = Table()\n",
    "stars_tbl['x'] = sources['x_0']\n",
    "stars_tbl['y'] = sources['y_0']\n",
    "\n",
    "stars = extract_stars(nddata, stars_tbl, size=25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nrows = 4\n",
    "ncols = 4\n",
    "fig, ax = plt.subplots(nrows=nrows, ncols=ncols, figsize=(15, 15),\n",
    "                       squeeze=True)\n",
    "ax = ax.ravel()\n",
    "for i in range(nrows*ncols):\n",
    "    norm = simple_norm(stars[i], 'log', percent=99.)\n",
    "    ax[i].imshow(stars[i], norm=norm, origin='lower', cmap='viridis')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PROGRESS: iteration 10 (of max 10) [6.0 s/iter]\r"
     ]
    }
   ],
   "source": [
    "epsf_builder = EPSFBuilder(oversampling=4, maxiters=10,\n",
    "                           progress_bar=True)\n",
    "epsf, fitted_stars = epsf_builder(stars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x134e27ed10>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "norm = simple_norm(epsf.data, 'log', percent=99.)\n",
    "plt.imshow(epsf.data, norm=norm, origin='lower', cmap='viridis')\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "19.553714114015122"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "epsf.data.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x134e33afd0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# should be \"truth\" ePSF\n",
    "m = IntegratedGaussianPRF(sigma=12., x_0=50., y_0=50., flux=1)\n",
    "yy, xx = np.mgrid[0:101, 0:101]\n",
    "data2 = m(xx, yy)\n",
    "plt.imshow(data2, norm=norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x134e54d890>]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data2[50, :], color='red')\n",
    "plt.plot(epsf.data[50, :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x134e66d610>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(epsf.data - data2)\n",
    "plt.colorbar()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python (astro37)",
   "language": "python",
   "name": "astro37"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}