{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Voronoi Polygons for 2-D Point Sets\n",
    "\n",
    "Author: Serge Rey (http://github.com/sjsrey)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Basic Usage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "import os\n",
    "sys.path.append(os.path.abspath('..'))\n",
    "import libpysal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from libpysal.cg.voronoi  import voronoi, voronoi_frames"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "points = [(10.2, 5.1), (4.7, 2.2), (5.3, 5.7), (2.7, 5.3)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "regions, vertices = voronoi(points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 3, 2], [4, 5, 1, 0], [0, 1, 7, 6], [9, 0, 8]]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "regions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[  4.21783296,   4.08408578],\n",
       "       [  7.51956025,   3.51807539],\n",
       "       [  9.4642193 ,  19.3994576 ],\n",
       "       [ 14.98210684, -10.63503022],\n",
       "       [ -9.22691341,  -4.58994414],\n",
       "       [ 14.98210684, -10.63503022],\n",
       "       [  1.78491801,  19.89803294],\n",
       "       [  9.4642193 ,  19.3994576 ],\n",
       "       [  1.78491801,  19.89803294],\n",
       "       [ -9.22691341,  -4.58994414]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "vertices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "region_df, point_df = voronoi_frames(points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f3304d59e48>"
      ]
     },
     "execution_count": 9,
     "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": [
    "fig, ax = plt.subplots()\n",
    "region_df.plot(ax=ax, color='blue',edgecolor='black', alpha=0.3)\n",
    "point_df.plot(ax=ax, color='red')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Larger Problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_points = 200\n",
    "np.random.seed(12345)\n",
    "points = np.random.random((n_points,2))*10 + 10\n",
    "results = voronoi(points)\n",
    "mins = points.min(axis=0)\n",
    "maxs = points.max(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "regions, vertices = voronoi(points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "regions_df, points_df = voronoi_frames(points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f32fd486b38>"
      ]
     },
     "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": [
    "fig, ax = plt.subplots()\n",
    "points_df.plot(ax=ax, color='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f32fd3c76a0>"
      ]
     },
     "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": [
    "fig, ax = plt.subplots()\n",
    "regions_df.plot(ax=ax, color='blue',edgecolor='black', alpha=0.3)\n",
    "points_df.plot(ax=ax, color='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Trimming"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "points = np.array(points)\n",
    "maxs = points.max(axis=0)\n",
    "mins = points.min(axis=0)\n",
    "xr = maxs[0] - mins[0]\n",
    "yr = maxs[1] - mins[1]\n",
    "buff = 0.05\n",
    "r = max(yr, xr) * buff\n",
    "minx = mins[0] - r\n",
    "miny = mins[1] - r\n",
    "maxx = maxs[0] + r\n",
    "maxy = maxs[1] + r"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "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"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "regions_df.plot(ax=ax, edgecolor='black', facecolor='blue', alpha=0.2 )\n",
    "points_df.plot(ax=ax, color='red')\n",
    "plt.xlim(minx, maxx)\n",
    "plt.ylim(miny, maxy)\n",
    "plt.title(\"buffer: %f, n: %d\"%(r,n_points))\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Voronoi Weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from libpysal.weights.contiguity import Voronoi as Vornoi_weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "w = Vornoi_weights(points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "200"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w.n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.685"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w.pct_nonzero"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(1, 1),\n",
       " (2, 6),\n",
       " (3, 17),\n",
       " (4, 34),\n",
       " (5, 41),\n",
       " (6, 63),\n",
       " (7, 24),\n",
       " (8, 7),\n",
       " (9, 5),\n",
       " (10, 1),\n",
       " (11, 0),\n",
       " (12, 1)]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w.histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "idx = [i for i in range(w.n) if w.cardinalities[i]==12]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[16.50851787, 13.12932895]])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "points[idx]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
