{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Custom exoplanet survey"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "EPOS was designed to work with different exoplanet surveys.\n",
    "\n",
    "This notebook shows how to load a (mock) exoplanet catolog and (mock) survey detection efficiency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import EPOS\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "initialize the EPOS class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " |~| epos 3.0.1.dev3 |~|\n",
      "\n",
      "Initializing 'custom_survey'\n",
      "\n",
      "Using random seed 4144380222\n",
      "Survey: None selected\n"
     ]
    }
   ],
   "source": [
    "epos= EPOS.epos(name='custom_survey')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exoplanet catalog\n",
    "\n",
    "Generate a mock exoplanet catalog with 131 planets detected in a survey of 18k stars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(76543)\n",
    "nstars= 18000\n",
    "npl= 231\n",
    "period= 10.**np.random.normal(loc=0.8, scale=0.4, size=npl) # days\n",
    "radius= 10.**np.random.normal(loc=0.4, scale=0.15, size=npl) # earth radii\n",
    "starID= np.random.choice(np.arange(nstars/50), npl, replace=True) # star identifier for each planet to identify multis (can be any format)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load the mock catalog into EPOS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Observations:\n",
      "  18000 stars\n",
      "  231 planets\n",
      "\n",
      "  110 singles, 55 multis\n",
      "  - single: 110\n",
      "  - double: 47\n",
      "  - triple: 5\n",
      "  - quad: 3\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "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": [
    "epos.set_observation(xvar=period, yvar=radius, starID=starID, nstars=nstars)\n",
    "EPOS.plot.survey.observed(epos, NB=True, PlotBox=False)\n",
    "EPOS.plot.multi.multiplicity(epos, NB=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Detection efficiency\n",
    "\n",
    "Generate a mock detection efficiency on a grid in period and radius\n",
    "\n",
    "Note: the geometric detection efficiency factor is calculated by EPOS from the star mass and radius, so it does not need to be provided. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "period_grid= np.geomspace(0.5, 300, 17)\n",
    "radius_grid= np.geomspace(0.3, 20, 19)\n",
    "Rstar= 1 # solar radius\n",
    "Mstar= 1 # solar mass\n",
    "\n",
    "P, R= np.meshgrid(period_grid, radius_grid, indexing='ij')\n",
    "detection_efficiency= scipy.stats.norm.cdf(np.log10(R), \n",
    "                loc=0.0+0.2*np.log10(P), scale=0.1)\n",
    "\n",
    "#vetting_efficiency=None # optional\n",
    "vetting_efficiency= np.minimum(1, (P/50)**-2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load and display the survey detection efficiency"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "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": [
    "epos.set_survey(xvar= period_grid,\n",
    "               yvar= radius_grid,\n",
    "               eff_2D= detection_efficiency,\n",
    "               vet_2D= vetting_efficiency,\n",
    "               Rstar=Rstar, Mstar=Mstar\n",
    "               )\n",
    "EPOS.plot.survey.completeness(epos, NB=True, Transit=True, Vetting=False, PlotBox=False)\n",
    "EPOS.plot.survey.completeness(epos, NB=True, Transit=False, Vetting=False, PlotBox=False)\n",
    "EPOS.plot.survey.vetting(epos, PlotBox=False, NB=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Show the combined completeness"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "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": [
    "EPOS.plot.survey.completeness(epos, NB=True, Vetting=True, PlotBox=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Occurrence Rates\n",
    "\n",
    "Calculate Occurrence rates for the mock survey \n",
    "\n",
    "First define bins where to calculate occurrence rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "epos.set_bins(xbins=[[5,20]], ybins=[[1.4,6]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define regions where observational comparisons are made (also used for some occurrence rate calculations)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "epos.set_ranges(\n",
    "    xtrim=[0,730],ytrim=[0.3,20.], # trim the detection efficiency grid\n",
    "    xzoom=[1,100],yzoom=[1,4], # zoomed region for occurrence rates\n",
    "    Occ=True) # calculate occurrence along period and radius grid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate occurrence rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Interpolating planet occurrence\n",
      "\n",
      "  Observed Planets\n",
      "  x: [5,20], y: [1.4,6], n=123, comp=0.05, occ=0.16\n",
      "\n",
      "  x zoom bins\n",
      "  x: [1,100], y: [0.3,0.38], n=0, comp=nan, occ=0\n",
      "  x: [1,100], y: [0.38,0.48], n=0, comp=nan, occ=0\n",
      "  x: [1,100], y: [0.48,0.6], n=0, comp=nan, occ=0\n",
      "  x: [1,100], y: [0.6,0.76], n=0, comp=nan, occ=0\n",
      "  x: [1,100], y: [0.76,0.96], n=0, comp=nan, occ=0\n",
      "  x: [1,100], y: [0.96,1.2], n=5, comp=0.02, occ=0.039\n",
      "  x: [1,100], y: [1.2,1.5], n=11, comp=0.036, occ=0.023\n",
      "  x: [1,100], y: [1.5,1.9], n=39, comp=0.062, occ=0.091\n",
      "  x: [1,100], y: [1.9,2.4], n=61, comp=0.08, occ=0.066\n",
      "  x: [1,100], y: [2.4,3.1], n=49, comp=0.074, occ=0.049\n",
      "  x: [1,100], y: [3.1,3.9], n=37, comp=0.077, occ=0.038\n",
      "  x: [1,100], y: [3.9,4.9], n=21, comp=0.082, occ=0.021\n",
      "  x: [1,100], y: [4.9,6.2], n=4, comp=0.11, occ=0.0021\n",
      "  x: [1,100], y: [6.2,7.9], n=0, comp=nan, occ=0\n",
      "  x: [1,100], y: [7.9,9.9], n=0, comp=nan, occ=0\n",
      "  x: [1,100], y: [9.9,13], n=0, comp=nan, occ=0\n",
      "  x: [1,100], y: [13,16], n=0, comp=nan, occ=0\n",
      "  x: [1,100], y: [16,20], n=0, comp=nan, occ=0\n",
      "\n",
      "  y zoom bins\n",
      "  x: [0.5,0.746], y: [1,4], n=3, comp=0.32, occ=0.00052\n",
      "  x: [0.746,1.11], y: [1,4], n=2, comp=0.23, occ=0.00049\n",
      "  x: [1.11,1.66], y: [1,4], n=8, comp=0.19, occ=0.0023\n",
      "  x: [1.66,2.47], y: [1,4], n=17, comp=0.15, occ=0.0066\n",
      "  x: [2.47,3.69], y: [1,4], n=24, comp=0.11, occ=0.014\n",
      "  x: [3.69,5.51], y: [1,4], n=27, comp=0.076, occ=0.022\n",
      "  x: [5.51,8.21], y: [1,4], n=44, comp=0.062, occ=0.041\n",
      "  x: [8.21,12.2], y: [1,4], n=39, comp=0.042, occ=0.085\n",
      "  x: [12.2,18.3], y: [1,4], n=24, comp=0.032, occ=0.049\n",
      "  x: [18.3,27.2], y: [1,4], n=11, comp=0.027, occ=0.023\n",
      "  x: [27.2,40.6], y: [1,4], n=10, comp=0.014, occ=0.063\n",
      "  x: [40.6,60.6], y: [1,4], n=1, comp=0.01, occ=0.0054\n",
      "  x: [60.6,90.4], y: [1,4], n=0, comp=nan, occ=0\n",
      "  x: [90.4,135], y: [1,4], n=0, comp=nan, occ=0\n",
      "  x: [135,201], y: [1,4], n=0, comp=nan, occ=0\n",
      "  x: [201,300], y: [1,4], n=0, comp=nan, occ=0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mulders/anaconda3/lib/python3.7/site-packages/numpy/core/fromnumeric.py:3257: RuntimeWarning: Mean of empty slice.\n",
      "  out=out, **kwargs)\n",
      "/Users/mulders/anaconda3/lib/python3.7/site-packages/numpy/core/_methods.py:161: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  ret = ret.dtype.type(ret / rcount)\n"
     ]
    }
   ],
   "source": [
    "EPOS.occurrence.all(epos)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the planet catalog with color-coded completeness"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "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": [
    "EPOS.plot.occurrence.colored(epos, Bins=True, NB=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And plot the occurrence rates as function of period and radius"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zJOFEunDhJOlyD3m70eW1hiJifkSoXWeXmZlNT2P6cCStRboUC6REuZGkbYE7I90r4ljgeEkXka5x9G7S5ci/PIzympnZ8hozLFrSrqR7TxQtioj9smUOIF3+e0PSOTvvj4hzuow/HzgyP82DBmqIY2ZjIzdopLSlqDEJZ5A8Sq3GOGY2NqZKODOiD8fMzEafE07Go9RGx5w5c5gzZ86wi2EVeN9ZJ25SK+EmtRrjVNq0Tx5sKu+78eYmNTMzGwlOOBk3qZmZ9Zeb1Eq4Sa3GOJU27WaZpvK+G29uUjMzs5HghGNmZgPRmEvb2PiYO3fu1AvZSPK+s07ch5PxpW36FMfMxoYvbVOBBw3UGMfMxoYHDVjjTE5OMjk5OexiWAXed9aJazglXMOpMU6lTXtobVN5340313DMzGwkOOFkfKUBM7P+cpNaCTep1Rin0qbdLNNU3nfjzU1qZmY2EpxwzMxsIJxwzMxsIHxpGxs5ixcvHnYRrCLvO+vEgwZKeNBAjXHMbGx40ECXPCzazKy/XMMp4RpOjXEqmDdvHgATExMD37ZNj/fdePPFOytwwqkxTqVN+1yOpvK+G29uUjMzs5HghGNmZgPhhGNmZgPhhGNmZgPhhGNmZgPhKw3YyJk9e/awi2AVed9ZJx4WnZE0HzgyP83DomuIY2Zjw+fhVODzcGqMY2Zjw+fhmJnZSHDCsZEjadkvJWsW7zvrxAnHzMwGwgnHzMwGwsOirX/aNa14IILZWHINx8zMBsI1HOufVk3GQ6zNDNdwzMxsQGqp4Uh6dkTcVEcsswULFgy7CFaR9511Mq0rDUh6OnA4sH9ErF5bqYbMVxqoMU7dscxsZE37SgOS1pb0DUm3S7pF0nuVHAn8AdgB2L/OQpuZ2czTTR/OUcAuwCLgTuAzwCnAy4C/jYjtI+Jb/Sti9yTtIukUSTdLCkn7DbtM1ruJiQkmJiaGXQyrwPvOOpmySU3SDcA7I+JMSZsC1wCfi4j3DaKAvZD0GuClwMXA14EDImJhhThuUhtimXLV8ulv2wbK+268Tftq0ZIeATaOiFuy5w8A20fEb+otar0k3Qcc5IQz5DgVYvmg1Vzed+OtjqtFzwIeyT1/DHhg2iUzM7Ox0s2waAEnSHooe74a8N9ZTWeZiNiz7sL1U9kN18zMrH+6STiLCs9P6EdBBi0i5gPzy+a1mtTMzKw+UyaciHjHIAoybK7xmJn1ly9tk4mI+RGhdp1dZmY2PV1f2kbSasDBwCuBDSgkq4jYut6i9U7SWsDm2dNZwEaStgXujIgbh1cy64VHODWX95110vWlbSR9DXgDcCJwC7DcihHx0dpL1yNJuwJnlcxaFBH7TbHufApNah4WXUOcumOZ2cia9nk4uUB3Am+MiDNrK92I8nk4NcapO5aZjaw6zsNpeQDwFaGt7+bMmcOcOXOGXQyrwPvOOumlhvNeYCvgnyPi8b6WagjcpNanOBVi+Wz15vK+G291NqmdCuwM3A1cyfJXH2jciZ+duEmtxjgVYvmg1Vzed+NtqoTTyw3Y7gBOrqFMZmY2hqZ1A7aZyjWcGuNUiOVfyc3lfTfe6hw0MKNJmp/dQ8ffFDOzPuhYw5F0OYXzbdoZhRM/6+IaTo1xKsTyr+Tm8r4bb9Ptwzmp7gKZTWXu3LnDLoJV5H1nnbgPp4RrODXGqTuWmY0s9+F0yX04Zmb9NVUfznV034ezaV2FGjbXcGqMUyHW5OQkwOifsa7SH3FjXZNrzL6zvpjWiZ+SPph7uhbwAeAi4P+yaS8BdgA+HREfq6G8I8EJp8Y4FWI1puPZCWcFjdl31hd1XmlgIfD7iDiqMP1QYKuIeOu0SjpCnHBqjFMhVuMOWu6jWqZx+85qVWfCuQeYHRHXFKZvDlwcEU+eXlFHhxNOjXEqxGrcQcsJZ5nG7TurVZ2DBu4Hdi2ZvivpStKN5kED1jNp+Wa14nMzW04vNZwPAx8H/ge4IJu8I/B2YH5EHN2XEg6Bazg1xqkQqzG/kt2Hs4LG7Dvri9qa1LJgbyTdZvr52aTfAsdFxHenV8zR4oRTY5wKsRp30HKT2jKN23dWq1oTzrhwwqkxToVYjTtoOeEs07h9Z7Wq8/YEZgOxePHiYRehO8UmNSee5uw7GwrXcEq4hlNjnLpjjZK6+nDcF2QzhGs4Zv3ihGDWE19LLeNh0aNj3rx5zJs3b9jFsAq876yTKZvUJH0a+AFwXkQ8PpBSDZmb1GqMUyHW2HU8z6AmtbHbd7acOk78XAP4FrBE0kJJr5e0en1FNBtzEcsnl+JzsxmilxM/dwBelz2eA/yMVPM5NSJu71sJh8A1nBrjVIg1tr+SZ8DgirHddwb06Tyc7PppreTzYuBXpOTzrYi4uWphR4UTTo1xKsQqPWjNoGanFdT52ob8PjnhjLe+n/gpaT1gz+xxbkQcM62AI8AJp8Y4FWI54WSccKxhfKWBCpxwaoxTIVbHg9YMaHYaiCG9T044483n4VjjzJ49e9hFsIq876wT13BKuIZTY5xRjjUTzeSmRxt5dd4Px8zMrDInnIyvNGAzQp3n9LRuKFd8mFXU6/1wXgi8C9gM2D8ibpX0euCGiLikT2UcODep1RinQiwPGpiGIY9486CB8VZbk5qk3Unn2zwTeAXQutrAZsCR0yqlmY0eXwHBatZLk9rHgQ9ExBuAh3PTzwZ2qLNQZisoNue4eadcKykUH1X4Pbea9ZJwtgJ+XDL9TmDdeopjZmYzVS8J5y5Sc1rRbOCP9RTHrA037wye33OrWS8J55vApyQ9CwhgZUkvA44Bvt6PwpmZ2czRy9WiVwEWAm8CBDye/f0msF9EPNanMg6cR6nVGKdCLI9SGzE9vOcepTbearu0TUQ8Auwj6XBSM9os4JKIuLqGcpots2DBgmEXwWDFAQJdJB7vO+uklxrOqsCsiHiwMH014PGIeLh8zeZxDafGOKMWy5d+6Z7fK+tRnZe2ORE4oGT6u4Hv9lwyMxttdQ6xNqO3hPM3wBkl038K7FRPccxgYmKCiYmJ/gT3yKu+6uu+s8brpUntAWB2RFxVmP584OKIWL18zWkUTjoA+BCwIfAb4H0R8csOy+8CHALMAZ4BvCMiFlbYrpvUZvqgAQ8+6AsPGhhvdTapXQa8uWT6W4Arei7ZFCTtDRwHHAVsB5wPnCZpow6rrZWV5WBgad1lMrMKfBFQy/RSw3kt8ANSf83Ps8mvBP4JeENE/KjWgkkXApdFxNzctKuBkyLi0C7Wvw84yDWcIcepEMs1nOYau9uD23Jqq+FExP8Cfw9sDHwue2wE7NmHZLMqqVms2Gd0Bu4vMmsW95tZpqdbTEfET4Cf9KkseesBKwFLCtOXAK+qYwOS5uOrXI+fCueWmFk9Kt2ATdLaktbNP+ouWKZ4FFDJtGqBI+ZHhMoedcS3mvnKxc3lfWeZXu6Hs7Gk0yQ9CPwZuD173JH9rdMdwGPA0wvTN2DFWk8tfMfPMeHmHbOh6aVJ7X+AtYH9gVuoqaZRJiIeljQJ7EY64bRlN+B7fdrmfGA+PDFowIajdLCAk0IjdNx3br4ce70knB2AHSOi9iHQbRwLHC/pIuA80hUNngF8GUDSQaRRaM9rrSBpLWDz7OksYCNJ2wJ3RsSNAyq3mZmV6KUP5zrgSf0qSFFEfAd4H/AR4FLgpcBrIuKGbJH1gC0Kq70IuCR7rA58NPv/Y1Ntz01qZmb91ct5OK8A/hU4ICKu6Wuphszn4dQYp0KsOXPmADA5OTn9bbfj5p2+6Ljv/J7PeFOdh9NLwrmXVMNZCXgIeDQ/PyKePJ2CjhInnBrjVIg1kMuj+ODXFz7xc7zVdj8c4KA6CjSqfF7OmPB5OGZD03UNZ5y4hlNjnAqx+lrD8a/tvvLFO8dbnRfvRNLTJB0i6UuS1sum/Y2k50y7pGaD4Hu8mA1NLyd+zgF+B+wDvBNo9dnsBnyi/qKZmdlM0ksN5xjguIjYjjRooOV00s3ZGs3Dos3M+quXQQNzSDWboluBp9VTnOHxlQZGx9y5c6deyEaS95110suw6CWkEy8nsyHS20TEHyTtAUxERKcbozWKBw3UGKfuWGY2suocNPBD4EhJrasNhKRNgKPp0/XNzMxs5ugl4RwCrEu6MvQawLnANcBfSJefaTT34YyOycnJ/l5lwPrG+8466fk8nOwSN7NJyeriiDizHwUbJjep1RinQiyfy9Fc3nfjrZZL20hahVSjeVtE/K7OAo4iJ5wa41SI5YNWc3nfjbda+nAi4hHgOfTxHjhmZjaz9dKHswjwmEczM6ukl/Nw1gT2kbQbMAncn58ZEe+ts2BmZjaz9JJwng9cnP2/aWFe45vafLVoM7P+6uXEzzWAhyLisf4Wafg8aKDGOBViueO5ubzvxlst98ORtBJwN7ANcGVdhTMrs3jx4mEXwSryvrNOeqnhXAPsFRGX9rdIw+caTo1x6o5lZiOrzkvbfBz4ZOs+OGZmZr3opYZzOelcnFWAP7LiKLWtay/dkLiGU2OcCrHmzZsHwMTExPS3bQPlfTfearnSQBao4wiuiPhor4UbJWWj1JxwaohTIZY7npvL+2681ZZwxolrODXGqRDLB63m8r4bb3X24ZiZmVXW9Ymf2U3X2v5siYgn11IiMzObkXq50sBBheerANsB/wh8orYSmZnZjDTtPhxJ7wReGRFvqadIw+c+nBrjVIjlfoDm8r4bb7VcaWAKZwGfrSGOGQCzZ88edhGsIu8766SOGs5hwNyIeE49RRo+13BqjFN3LDMbWbXVcLITP/NHDAFPA9YF/rl6Ec3MbBz00qR2UuH548DtwNkRcVV9RTIzs5nIJ35mfKWBPsWpEMsdz83lfTfe6ry0zcuyQL8omR4Rcc60SjpC3IdTY5wKsXzQai7vu/FW55UGPgOsUzL9ydk8MzOztnpJOFsAvy6Zfnk2z8zMrK1eEs5S4Bkl058FPFxPcczMbKbqJeGcTroB27JmNUnrAkdl88zMzNrqZdDAhsA5wAbAZdnkrYHbgJdFxC19KeEQeNBAjXEqxHLHc3N534232k78jIhbJW0D7ANsSzrxcxHwzYh4YPpFNUsWLFgw7CJYRd531onPwynhGk6NceqOZWYjq7Zh0ZI+IendJdPfLenjlUtoZtYtqfxhjdDLoIF9gUtKpk8Cb6unOGYwMTHBxMTEsIthFXjfWSe9DBp4ENgyIv5QmL4pcGVErNaH8g2Fm9RqjFMhljuem2tg+87NtCOpzisN3AjsXDJ9F+CPPZfMzMzGSi8JZwHwGUlzJW2WPeYBnwZ6rkNLOkDSdZIelDQpqSyZ9bSOpF0knSLpZkkhab9ey2VmZv3Ry7DoT0taD/gcsGo2+WHguIj4z142Kmlv4DjgAODc7O9pkraMiBunsc5awBXA17OHmZmNiJ6HRUtaE9iSdB7OlRFxX88blS4ELouIublpVwMnRcShdawj6T7goIhYWKF87sNxH45V4D6c8VZnHw6SngI8n3Tztd9XTDarAnOAMwqzzgB2qmudLsoxP2t2W+FRJZ6ZmXXWVcKRtJGkU4E/AxcCFwF3ZP0lG/e4zfWAlYAlhelLgKfXuE5HETE/IlT2qBLPzMw6m7IPR9IzgQtItZojgCtJzWlbkvpRzpe0fYVrqRVrEiqZVsc61jBuSmuugTWlFZ/7M9MI3dRwjgSuA/46Io6KiB9ExMkR8Qngr7N5R3aMsLw7gMdYsWayASvWYKazTk/yTWx1xDMzs+V1k3BeAxwWEUuLM7KLdn4EeG23G4yIh0lXJ9itMGs34Py61ulVvomtjnhm1gcRy9dmis9tpHUzLHp94NoO86/JlunFscDxki4CzgPeTbq525cBJB1EGmH2vG7XydZbC9g8ezoL2EjStsCd7YZb2+iZM2cOAJOTk0MuifXK+8466Sbh3EY6iLe7msBfZ8t0LSK+I+mppNrRhqRzZ14TETdki6xH4bbVXawD8CLgrNzzj2aPRcB+ncokaT69NQ1an1x88cXDLoJV5H1nnUx5Ho6kCdIAgVdGxEOFeasBZwK/iYh39a2UA+bzcGqMUyGWz8NpLp+HM96mOg+nm4TzDGAxqdP+C8BVpJFhW5FGqa0MvCgibojK79EAAAt2SURBVK6t1EPmhFNjnAqxnHCaywlnvE074WRBNgG+CLyaNBQZUtI5ndTX8ofyNZujrEnNCaeGOBViOeE0lxPOeKsl4eSCrUPqswG4OiLumm4BR5FrODXGqRDLCae5nHDGW60JZ1w44dQYp0IsJ5zmcsIZb1MlnK6vFj3TeZTa6Jg7d+7UC9lI8r6zTlzDKeEaTo1x6o5lBv5MjaharxZtZmZWlROOjZzJyUmfqd5Q3nfWiZvUSrhJrcY4FWJ50EBzedDAeHOTWpd8tWizMSKVP2ZKrFEsE67hlHINp8Y4FWK5htNcfd937Q50vW6vrjijGmtIZfKwaDOzotbBso4fVqMYaxTLhBOOmTWJa72N5j4cMzMbCCecjAcNmJn1l5vUMhExH5gPTwwasOFYvHjxsItgFXnfWScepVbCo9RqjFN3LLM6jernvKHfY5+HY2ZmI8EJx0bOvHnzmDdv3rCLYRV431knblIr4Sa1GuNUiOUTP5urcftuFL97dcZyk5qZmY0jJ5yMh0WbmfWXm9RKuEmtxjgVYjWuWcaWady+G8XvXp2x3KRmZmbjyAnHzMwGwlcasJEze/bsYRfBKvK+s07ch1PCfTg1xqk7llmdRvVz3tDvsftwzMxsJDjhmJnZQDjh2MiRtKxqbs3ifWedOOFkfOKnmVl/edBACQ8aqDFOhViNO3nQlmncvhvF716dsTxowMzMxpETjpmZDYQTjpmZDYQTjpmZDYQvbWMjZ8GCBcMuglXkfWedeJRaCY9SqzFO3bHM6jSqn/OGfo89Ss3MzEaCE46NnImJCSYmJoZdDKvA+846cZNaCTep1RinQqzGnTxoyzRu343id6/OWG5S6z9J50v6taQrJB0x7PKYmdnMHaW2R0TcI2kl4FxJp0TEpcMulJnZOJuRNZyIuCf7d9XsYWZmQzbQhCNpF0mnSLo5uzLzfiXLHCDpOkkPSpqUtHPFbV0I3Aac6dqNmdnwDbqGsxZwBXAwsLQ4U9LewHHAUcB2wPnAaZI2yi1zRZvHs/OxIuLFwDOBbSW9oH8vyczMujG0UWqS7gMOioiFuWkXApdFxNzctKuBkyLi0Irb+RfgsYg4pod1GjLExsxs9Iz8KDVJqwJzgDMKs84AduohztqS1sv+Xw3YHbiqZLllN1wrPqq/CjMza2eURqmtB6wELClMXwK8qoc46wInSlqFlFC/GxE/Ki4UEfOB+e2CSIp2WXq66oo9nTi9rtvL8t0sO9Uy/Xz/R8GwX99M/nwP+7PdzXLD3v/91OlH+yglnJZiYVUyrf3KEX8g1ZTMzGyEjEyTGnAH8Bjw9ML0DVix1mNmZg0zMgknIh4GJoHdCrN2I41WG7SPNiD2dOL0um4vy3ezbD/f3yYY9uufyZ/vYX+2q5RhJmn72gc6Sk3SWsDm2dPzgU8CpwB3RsSN2bDo44EDgPOAdwPvBLaKiBsGVlAbupncxm02rp/vQSecXYGzSmYtioj9smUOAD4MbEg6Z+f9EXHOoMpoo2Fcv5A2Hsb18+2rRdtIGtcvpI2Hcf18j0wfjlnBOLeB28w3lp9v13DMzGwgXMMxM7OBcMIxM7OBcMIxM7OBcMKxkdLNPZPMmmCQ9/9qCiccGzUd75lk1iDTvv/XTONRajayyu6ZZNZEg7r/16hzDcfMbMDquv9X0zjhmJkNXqf7fxWvmD9jOOGYmQ3PtO7/1TROOGZmgzeW9/9ywjEzG7ARvP/XQIziLaZtjBXumTQL2EjStmT3TBpeycx608Vn+VjgeEkX8cT9v54BfHkY5R0ED4u2kdLNPZPMmsD3/1qRE46ZmQ2E+3DMzGwgnHDMzGwgnHDMzGwgnHDMzGwgnHDMzGwgnHDMzGwgnHDMzGwgnHDMzGwgnHBsRpG0UNKPhl2OYZD0I0kLc8/7/l5IOju7fXJI2rGf28ptc2Fum3sNYptWDycca5TCweYRSX+QdIykNYdcrrMlfaGL5fLlf1TSjZK+JGmdPhTrYOCtfYhb9D+kS7NMwkBe48HZ9qxhfPFOa6IzgX2BVYCdga8AawL/PMxC9aBV/pWBLYGvAWsDb65zIxFxd53xOnggIv5UmNbza5S0Muly/Y8DSyLisbLlstd1t6Qaim6D5BqONdFDEfGniLgpIr4JfAN4fdmCkvaQ9EtJd0m6U9Lpkp6fm3+2pC9KOkrSHZJuy2pMs3LLSNKHJV0raamkyyW9NTd/IfAy4MDcL/tNuij/HyPiDOA7wO49lnuNrCZxn6Qlkg4ree3LNamV1cJKltlF0gVZ3LslXSjpBR1eS+XXmNvmFpK+AdwF3ATcDNwh6WuSNq6wbRtRTjg2Eywl1XbKrAl8FtgB2BW4Gzg1u6d8yz7Ao6R7yR8EvA/YOzf/34F3AgeSfq3/B7BA0muz+QcD/8cTTUsbkg6cU5K0KbAH8EiP5T6GdO+UfwReCWwH7NLNNjuUZWXgh8C5wDbAi4HjSDcKm07cdq8RSfsCvybd5XIPYD6pZvRGUm3nMkmlicqax01q1miSdgDeAvysbH5EfK+w/DuAe0gH8nOzyVdGxBHZ/7+XNJd0EP9W1jf0AWD3iPhltsx12XYPBP43Iu6W9DDlTUtl9pB0H+me9qtl0z7QbbklXUpKgPtHxOm5+X/sYtudPJnU7HVqRFybTbuqYqwpX6OkvwO+CrwtIr6dTXs/cH9EnAD8VNKHgB9I2jkiJiuWxUaEE441UetgtjKpZvND4D1lC0raDPg46df6+qRa/Sxgo9xilxVWu4V0q19INZrVgJ9Iyt/LYxXg+orlPweYB6wOzAU2Az7XQ7nvBVYl1aoAiIj7JF1esTytGHdmzYOnS/oZKYmfGBFd1dYKOr5GSauTbjT2iVayaVOmT0nailSj3D58P5VGc5OaNdE5wLbAFsBqEfEPEXFbm2VPJR2w30U6eG9Haj7LN6kVm3qCJ74brb9/n22z9diKNn0SXXggIq6JiMsj4r3AGsDhPZS7am/54yXrLtcUGRHvyLZ3DrAnqcb36grbmuo1vpZUo/pUF7GOAOYAsyuUw0aIazjWRA9ExDVTLSTpqcDzgQMj4qxs2mx6+9xfCTwEbBwRP++w3MOk5qMqPgqcJmkiIm7potzXkJLkjsAfsvlrAi8Ari0Gz7mdFYcTb0OhphYRvyb1qxwt6TTg7cDpFV9by3KvkdSkeRHptsv55f4KWF/S83LTHgF+n63jZrUGc8Kxmewu4A5grqSbgGeSflE/2m2AiLhX0jHAMUpHxnOAtUgH+8cjYiJb9HpS/8omwH2k+9Y/3uU2zpb0G+AjwAFTlTtrPvsqKSHcTmoCPIKpE97Pgc9K2hP4Han29Oys7Eh6TjbtFNJIsU2BrYEvdfM6enyNa5NqW78tWXx30m2XW24gvca1p1sOGy43qdmMlR3w9yYdNK8A/ovUrPNQj6EOJ42eOgT4DfBT0uiw63LLHEOq5VxJqklsRG+OBd4paeMuy30IcBZwcvb3ClIy7ORrucd5pMR4cm7+A8BzgRNJNYpFpCHnR/f4WtpZ9hpJ79GsiFD+AXwP+FBh+iakmtkdNZXDhkTugzOzqiSdDVwREQf1uN7fkpLdMyPiz7npJwEXRMQxuWlbkRLqlhHx29z0AP4pIk6a3quwQXENx8yma152ouj2PazzU1IN8ROdFsqaMT8N/LSVbCR9ORulaA3jPhwzm459SEOfocuTXQEi4lFJbwfOlnQL8PHikOfsRNQvkkao7ZCbdQSpCRPg1qoFt8Fzk5qZDY2kXYGTSCPvvkwacn4zcD/pqg+rA3tGxLTOMbLR4IRjZkOVDQN/P/A60si4x0lXODgJ+EJE3D/E4lmNnHDMzGwgPGjAzMwGwgnHzMwGwgnHzMwGwgnHzMwGwgnHzMwGwgnHzMwGwgnHzMwGwgnHzMwG4v8D2kbZkWuvy0YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "EPOS.plot.parametric.oneD_x(epos, NB=True, Occ=True, Init=False)\n",
    "EPOS.plot.parametric.oneD_y(epos, NB=True, Occ=True, Init=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
