polylabel 1.0.0

A Rust implementation of the Polylabel algorithm
Documentation
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sth/dev/rust-polylabel/venv/lib/python2.7/site-packages/matplotlib/__init__.py:913: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
      "  warnings.warn(self.msg_depr % (key, alt_key))\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "import geopandas as gp\n",
    "import pandas as pd\n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.collections import PatchCollection\n",
    "from matplotlib import rc\n",
    "from shapely.geometry import LineString, Polygon, Point, box, shape\n",
    "from shapely.ops import cascaded_union\n",
    "from fiona.crs import from_epsg\n",
    "from rtree import index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def nearest_postcode_distance(df, df2, sindex):\n",
    "    \"\"\"\n",
    "    Find nearest neighbour to df in df2 spatial index\n",
    "    Then, calculate distance between nearest neighbour geometry and df geometry\n",
    "    Return distance and ward name\n",
    "    \"\"\"\n",
    "    idx_pos = sindex.nearest(df.geometry.bounds, 1).next()\n",
    "    return df.geometry.distance(df2.iloc[idx_pos].geometry) / 1000., df2.iloc[idx_pos]['POSTCODE']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# CRS has been converted from 27700 to 25832 for Euclidean distance measurement\n",
    "merged = gp.GeoDataFrame.from_file(\"merged.shp\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# create \"funded\" dataframe from CR-supplied data\n",
    "# create a spatial index for it\n",
    "df_funded = pd.read_excel(\"/Users/sth/Downloads/cr_funded.xlsx\")\n",
    "df_funded_geo = merged[merged['POSTCODE'].isin(list(df_funded['Grants Project Postcode']))]\n",
    "sindex = df_funded_geo.sindex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# calculate minimum distance and post code\n",
    "merged['Minimum Distance'], merged['Distance Postcode'] = zip(*merged.apply(\n",
    "    nearest_postcode_distance, axis=1, args=(df_funded_geo, sindex)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PC_AREA                    AB\n",
       "POSTCODE             AB11 5QH\n",
       "UPP                       469\n",
       "geometry                  foo\n",
       "Minimum Distance            1\n",
       "Distance Postcode    AB10 1AN\n",
       "Name: 721, dtype: object"
      ]
     },
     "execution_count": 192,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# fix AB11 5QH -- its polygon is wrong\n",
    "# merged.iloc[721]['Minimum Distance'] = 1.0\n",
    "# merged.iloc[721]['Distance Postcode'] = 'AB10 1AN'\n",
    "# merged.iloc[721]\n",
    "\n",
    "# AB11 5QH HAS BEEN REMOVED DUE TO AN INVALID POLYGON."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 194,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "      <td>00000000000000299755</td>\n",
       "      <td>POLYGON ((-279257.0490855526 6560487.069896552...</td>\n",
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       "      <td>KW15 1JD</td>\n",
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       "    <tr>\n",
       "      <th>3357</th>\n",
       "      <td>IV</td>\n",
       "      <td>IV27 4XF</td>\n",
       "      <td>00000000000000299751</td>\n",
       "      <td>(POLYGON ((-280942.9456866267 6560859.51984529...</td>\n",
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       "    <tr>\n",
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       "      <td>IV</td>\n",
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       "      <td>(POLYGON ((-278868.107416708 6563313.63732826,...</td>\n",
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       "    <tr>\n",
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       "      <td>IV</td>\n",
       "      <td>IV27 4QE</td>\n",
       "      <td>00000000000000299695</td>\n",
       "      <td>(POLYGON ((-293117.9432221268 6572039.85668228...</td>\n",
       "      <td>100.420907</td>\n",
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       "      <td>KW15 1JD</td>\n",
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       "    <tr>\n",
       "      <th>3304</th>\n",
       "      <td>IV</td>\n",
       "      <td>IV27 4QH</td>\n",
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       "      <td>IV</td>\n",
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       "      <td>IV</td>\n",
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       "      <td>IV</td>\n",
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       "</div>"
      ],
      "text/plain": [
       "     PC_AREA  POSTCODE                   UPP  \\\n",
       "3355      IV  IV27 4XD  00000000000000299749   \n",
       "3353      IV  IV27 4XA  00000000000000299747   \n",
       "3354      IV  IV27 4XB  00000000000000299748   \n",
       "3356      IV  IV27 4XE  00000000000000299750   \n",
       "3358      IV  IV27 4XG  00000000000000299752   \n",
       "3364      IV  IV27 4XQ  00000000000000299758   \n",
       "3361      IV  IV27 4XL  00000000000000299755   \n",
       "3357      IV  IV27 4XF  00000000000000299751   \n",
       "3359      IV  IV27 4XH  00000000000000299753   \n",
       "3301      IV  IV27 4QE  00000000000000299695   \n",
       "3373      IV  IV27 4YR  00000000000000299767   \n",
       "3304      IV  IV27 4QH  00000000000000299698   \n",
       "3372      IV  IV27 4YQ  00000000000000299766   \n",
       "3376      IV  IV27 4YU  00000000000000299770   \n",
       "7028      IV  VIV00223  00004000000001776245   \n",
       "7031      IV  VIV00226  00000000000000760356   \n",
       "3296      IV  IV27 4PY  00000000000000299690   \n",
       "3290      IV  IV27 4PR  00000000000000299684   \n",
       "3374      IV  IV27 4YS  00000000000000299768   \n",
       "3291      IV  IV27 4PS  00000000000000299685   \n",
       "\n",
       "                                               geometry  Minimum Distance  \\\n",
       "3355  POLYGON ((-279289.0039184936 6560162.766120651...        102.243906   \n",
       "3353  POLYGON ((-279287.568131678 6560191.015170638,...        102.193813   \n",
       "3354  POLYGON ((-279287.7001370552 6560251.829722201...        102.186633   \n",
       "3356  POLYGON ((-279411.271641075 6559879.117390801,...        102.154803   \n",
       "3358  POLYGON ((-280057.020494936 6560511.172815423,...        102.145813   \n",
       "3364  POLYGON ((-279050.8159261777 6560034.013417031...        101.753515   \n",
       "3361  POLYGON ((-279257.0490855526 6560487.069896552...        101.681902   \n",
       "3357  (POLYGON ((-280942.9456866267 6560859.51984529...        101.569011   \n",
       "3359  (POLYGON ((-278868.107416708 6563313.63732826,...        100.444232   \n",
       "3301  (POLYGON ((-293117.9432221268 6572039.85668228...        100.420907   \n",
       "3373  POLYGON ((-281038.3687809272 6565596.79146561,...        100.302919   \n",
       "3304  POLYGON ((-295270.64997034 6573200.69900519, -...        100.149834   \n",
       "3372  POLYGON ((-278811.5291202173 6565781.536285123...         99.836299   \n",
       "3376  POLYGON ((-278675.9432933956 6565811.940064268...         99.698467   \n",
       "7028  POLYGON ((-295884.2675926782 6573328.189027736...         99.570614   \n",
       "7031  POLYGON ((-278794.5277476829 6566530.077666304...         99.554083   \n",
       "3296  POLYGON ((-295903.6179819773 6574063.008373864...         99.537784   \n",
       "3290  POLYGON ((-296076.2006920492 6574554.89691216,...         99.480622   \n",
       "3374  POLYGON ((-281038.3687809272 6565596.79146561,...         99.442818   \n",
       "3291  POLYGON ((-296140.5870610026 6574174.967651629...         99.378948   \n",
       "\n",
       "     Distance Postcode  \n",
       "3355          KW15 1JD  \n",
       "3353          KW15 1JD  \n",
       "3354          KW15 1JD  \n",
       "3356          IV30 5XF  \n",
       "3358          IV30 5XF  \n",
       "3364          IV30 5XF  \n",
       "3361          KW15 1JD  \n",
       "3357          IV30 5XF  \n",
       "3359          KW15 1JD  \n",
       "3301           HS2 0BB  \n",
       "3373          KW15 1JD  \n",
       "3304           HS2 0BB  \n",
       "3372          KW15 1JD  \n",
       "3376          KW15 1JD  \n",
       "7028           HS2 0BB  \n",
       "7031          KW15 1JD  \n",
       "3296           HS2 0BB  \n",
       "3290           HS2 0BB  \n",
       "3374          KW15 1JD  \n",
       "3291           HS2 0BB  "
      ]
     },
     "execution_count": 194,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 20 farthest post codes\n",
    "merged.sort_values(by='Minimum Distance', ascending=False).head(20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.370836836613174"
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "merged['Minimum Distance'].mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.306086850990239"
      ]
     },
     "execution_count": 190,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "merged['Minimum Distance'].median()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    1.673814e+06\n",
       "mean     4.370837e+00\n",
       "std      5.529833e+00\n",
       "min      0.000000e+00\n",
       "25%      9.216023e-01\n",
       "50%      2.306087e+00\n",
       "75%      5.910164e+00\n",
       "max      1.022439e+02\n",
       "Name: Minimum Distance, dtype: float64"
      ]
     },
     "execution_count": 191,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "merged['Minimum Distance'].describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "rc('font', **{'family':'sans-serif',\n",
    "    'sans-serif':['Helvetica'],\n",
    "    'monospace': ['Inconsolata'],\n",
    "    'serif': ['Adobe Garamamond Pro']}\n",
    ")\n",
    "\n",
    "rc('text', **{'usetex': True})\n",
    "rc('text', **{'latex.preamble': '\\usepackage{sfmath}'})\n",
    "\n",
    "save_args = {\n",
    "    \"format\": \"png\",\n",
    "    \"bbox_inches\": 'tight',\n",
    "    \"alpha\": True,\n",
    "    \"transparent\": True,\n",
    "    \"dpi\": 200\n",
    "}\n",
    "fontsize = 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qdkrZTwp8+jSx67a+VagA7ohJtFJ8Es6rQkNVD3PK2j7TIKoanz5NTsoMhGgV+Dwt8ByZ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\n0P8DoXSywin5mRkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f6fe5990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "fig = plt.figure(1, figsize=(7., 5.), dpi=100)\n",
    "ax = fig.add_subplot(121)\n",
    "h = ax.hist(merged['Minimum Distance'], 10, log=True, ec='#333333')\n",
    "\n",
    "ax.grid(b=False)\n",
    "ax.spines['top'].set_visible(False)\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.set_xlabel('Distance from nearest project (km)', fontsize=fontsize)\n",
    "ax.set_ylabel('Number of post codes (log)', fontsize=fontsize)\n",
    "plt.title(\"Post Code Distances, 1673814 Post Codes\", fontsize=fontsize)\n",
    "\n",
    "plt.savefig(\"postcodes.png\", **save_args)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "230164"
      ]
     },
     "execution_count": 198,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(merged[merged['Minimum Distance'] < 0.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 258,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "merged.to_file(\"merged_postcodes.shp\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}