diff --git a/examples/overlays.ipynb b/examples/overlays.ipynb new file mode 100644 index 0000000..7808def --- /dev/null +++ b/examples/overlays.ipynb @@ -0,0 +1,612 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:fd004464d2c9a76d849b9774250b15c41746a946abfeb8e3978cd25e15e8c576" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Spatial overlays allow you to compare two GeoDataFrames containing polygon or multipolygon geometries \n", + "and create a new GeoDataFrame with the new geometries representing the spatial combination *and*\n", + "merged properties. This allows you to answer questions like\n", + "\n", + "> What are the demographics of the census tracts within 1000 ft of the highway?\n", + "\n", + "The basic idea is demonstrated by the graphic below but keep in mind that overlays operate at the dataframe level, \n", + "not on individual geometries, and the properties from both are retained" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from IPython.core.display import Image \n", + "Image(url=\"http://docs.qgis.org/testing/en/_images/overlay_operations.png\") " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "html": [ + "" + ], + "metadata": {}, + "output_type": "pyout", + "prompt_number": 3, + "text": [ + "" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we can load up two GeoDataFrames containing (multi)polygon geometries..." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%pylab inline\n", + "import os\n", + "from shapely.geometry import Point\n", + "from geopandas import GeoDataFrame, read_file\n", + "from geopandas.tools import overlay\n", + "\n", + "# NYC Boros\n", + "zippath = os.path.abspath('../examples/nybb_14aav.zip')\n", + "polydf = read_file('/nybb_14a_av/nybb.shp', vfs='zip://' + zippath)\n", + "\n", + "# Generate some circles\n", + "b = [int(x) for x in polydf.total_bounds]\n", + "N = 10\n", + "polydf2 = GeoDataFrame([\n", + " {'geometry' : Point(x, y).buffer(10000), 'value1': x + y, 'value2': x - y}\n", + " for x, y in zip(range(b[0], b[2], int((b[2]-b[0])/N)),\n", + " range(b[1], b[3], int((b[3]-b[1])/N)))])" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The first dataframe contains multipolygons of the NYC boros" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "polydf.plot()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 5, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAUEAAAD/CAYAAABvuWSAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJCQkJCQ+Pv4PeOABo584nw0AAAAASUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And the second GeoDataFrame is a randomly generated set of circles in the same geographic space (TODO ...use real data)" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "polydf2.plot()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 6, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAQ4AAAD/CAYAAAAACDitAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCB38PyMame14H5/hAAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `geopandas.tools.overlay` function takes three arguments:\n", + "\n", + "* df1\n", + "* df2\n", + "* how\n", + "\n", + "Where `how` can be one of:\n", + "\n", + " ['intersection',\n", + " 'union',\n", + " 'identity',\n", + " 'symmetric_difference',\n", + " 'difference']\n", + "\n", + "So let's identify the areas (and attributes) where both dataframes intersect using the `overlay` tool. " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from geopandas.tools import overlay\n", + "newdf = overlay(polydf, polydf2, how=\"intersection\")\n", + "newdf.plot()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 7, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAASUAAAD/CAYAAAC3tcCKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text": [ + "" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And take a look at the attributes; we see that the attributes from both of the original GeoDataFrames are retained. " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "polydf.head()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
BoroCodeBoroNameShape_AreaShape_Lenggeometry
0 5 Staten Island 1.623847e+09 330454.175933 (POLYGON ((970217.0223999023 145643.3322143555...
1 3 Brooklyn 1.937810e+09 741227.337073 (POLYGON ((1021176.479003906 151374.7969970703...
2 4 Queens 3.045079e+09 896875.396449 (POLYGON ((1029606.076599121 156073.8142089844...
3 1 Manhattan 6.364308e+08 358400.912836 (POLYGON ((981219.0557861328 188655.3157958984...
4 2 Bronx 1.186822e+09 464475.145651 (POLYGON ((1012821.805786133 229228.2645874023...
\n", + "
" + ], + "metadata": {}, + "output_type": "pyout", + "prompt_number": 8, + "text": [ + " BoroCode BoroName Shape_Area Shape_Leng \\\n", + "0 5 Staten Island 1.623847e+09 330454.175933 \n", + "1 3 Brooklyn 1.937810e+09 741227.337073 \n", + "2 4 Queens 3.045079e+09 896875.396449 \n", + "3 1 Manhattan 6.364308e+08 358400.912836 \n", + "4 2 Bronx 1.186822e+09 464475.145651 \n", + "\n", + " geometry \n", + "0 (POLYGON ((970217.0223999023 145643.3322143555... \n", + "1 (POLYGON ((1021176.479003906 151374.7969970703... \n", + "2 (POLYGON ((1029606.076599121 156073.8142089844... \n", + "3 (POLYGON ((981219.0557861328 188655.3157958984... \n", + "4 (POLYGON ((1012821.805786133 229228.2645874023... " + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "polydf2.head()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
geometryvalue1value2
0 POLYGON ((923175 120121, 923126.847266722 1191... 1033296 793054
1 POLYGON ((938595 135393, 938546.847266722 1344... 1063988 793202
2 POLYGON ((954015 150665, 953966.847266722 1496... 1094680 793350
3 POLYGON ((969435 165937, 969386.847266722 1649... 1125372 793498
4 POLYGON ((984855 181209, 984806.847266722 1802... 1156064 793646
\n", + "
" + ], + "metadata": {}, + "output_type": "pyout", + "prompt_number": 9, + "text": [ + " geometry value1 value2\n", + "0 POLYGON ((923175 120121, 923126.847266722 1191... 1033296 793054\n", + "1 POLYGON ((938595 135393, 938546.847266722 1344... 1063988 793202\n", + "2 POLYGON ((954015 150665, 953966.847266722 1496... 1094680 793350\n", + "3 POLYGON ((969435 165937, 969386.847266722 1649... 1125372 793498\n", + "4 POLYGON ((984855 181209, 984806.847266722 1802... 1156064 793646" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "newdf.head()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
BoroCodeBoroNameShape_AreaShape_Lengvalue1value2geometry
0 5 Staten Island 1.623847e+09 330454.175933 1033296 793054 POLYGON ((916755.4256330276 129447.9617643995,...
1 5 Staten Island 1.623847e+09 330454.175933 1063988 793202 POLYGON ((938595 135393, 938546.847266722 1344...
2 5 Staten Island 1.623847e+09 330454.175933 1125372 793498 POLYGON ((961436.3049926758 175473.0296020508,...
3 5 Staten Island 1.623847e+09 330454.175933 1094680 793350 POLYGON ((954015 150665, 953966.847266722 1496...
4 2 Bronx 1.186822e+09 464475.145651 1309524 794386 POLYGON ((1043287.193237305 260300.0289916992,...
\n", + "
" + ], + "metadata": {}, + "output_type": "pyout", + "prompt_number": 10, + "text": [ + " BoroCode BoroName Shape_Area Shape_Leng value1 value2 \\\n", + "0 5 Staten Island 1.623847e+09 330454.175933 1033296 793054 \n", + "1 5 Staten Island 1.623847e+09 330454.175933 1063988 793202 \n", + "2 5 Staten Island 1.623847e+09 330454.175933 1125372 793498 \n", + "3 5 Staten Island 1.623847e+09 330454.175933 1094680 793350 \n", + "4 2 Bronx 1.186822e+09 464475.145651 1309524 794386 \n", + "\n", + " geometry \n", + "0 POLYGON ((916755.4256330276 129447.9617643995,... \n", + "1 POLYGON ((938595 135393, 938546.847266722 1344... \n", + "2 POLYGON ((961436.3049926758 175473.0296020508,... \n", + "3 POLYGON ((954015 150665, 953966.847266722 1496... \n", + "4 POLYGON ((1043287.193237305 260300.0289916992,... " + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "Now let's look at the other `how` operations:" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "newdf = overlay(polydf, polydf2, how=\"union\")\n", + "newdf.plot()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 13, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAQ4AAAD/CAYAAAAACDitAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text": [ + "" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "newdf = overlay(polydf, polydf2, how=\"identity\")\n", + "newdf.plot()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 14, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAUEAAAD/CAYAAABvuWSAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", + "text": [ + "" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "newdf = overlay(polydf, polydf2, how=\"symmetric_difference\")\n", + "newdf.plot()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 15, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAQ4AAAD/CAYAAAAACDitAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nB2JuLNnOCwN6AAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "newdf = overlay(polydf, polydf2, how=\"difference\")\n", + "newdf.plot()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 12, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAUEAAAD/CAYAAABvuWSAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCQkJCQkJCQkJCQkJCQkJCQkJifeP/wMn5MbBUi7lMwAAAABJRU5ErkJggg==\n", + "text": [ + "" + ] + } + ], + "prompt_number": 12 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/geopandas/tools/__init__.py b/geopandas/tools/__init__.py new file mode 100644 index 0000000..7f66fa8 --- /dev/null +++ b/geopandas/tools/__init__.py @@ -0,0 +1,3 @@ +__all__ = ['overlay'] + +from overlay import overlay diff --git a/geopandas/tools/overlay.py b/geopandas/tools/overlay.py new file mode 100644 index 0000000..2794a55 --- /dev/null +++ b/geopandas/tools/overlay.py @@ -0,0 +1,179 @@ +from shapely.ops import unary_union, polygonize +from shapely.geometry import MultiLineString +import pandas as pd +from geopandas import GeoDataFrame, GeoSeries + + +def _uniquify(columns): + ucols = [] + for col in columns: + inc = 1 + newcol = col + while newcol in ucols: + inc += 1 + newcol = "{}_{}".format(col, inc) + ucols.append(newcol) + return ucols + + +def _extract_rings(df): + """Collects all inner and outer linear rings from a GeoDataFrame + with (multi)Polygon geometeries + + Parameters + ---------- + df: GeoDataFrame with MultiPolygon or Polygon geometry column + + Returns + ------- + rings: list of LinearRings + """ + poly_msg = "overlay only takes GeoDataFrames with (multi)polygon geometries" + rings = [] + for i, feat in df.iterrows(): + geom = feat.geometry + + if geom.type not in ['Polygon', 'MultiPolygon']: + raise TypeError(poly_msg) + + if hasattr(geom, 'geoms'): + for poly in geom.geoms: # if it's a multipolygon + if not poly.is_valid: + # geom from layer is not valid attempting fix by buffer 0" + poly = poly.buffer(0) + rings.append(poly.exterior) + rings.extend(poly.interiors) + else: + if not geom.is_valid: + # geom from layer is not valid attempting fix by buffer 0" + geom = geom.buffer(0) + rings.append(geom.exterior) + rings.extend(geom.interiors) + + return rings + +def overlay(df1, df2, how, use_sindex=True): + """Perform spatial overlay between two polygons + Currently only supports data GeoDataFrames with polygons + + Implements several methods (see `allowed_hows` list) that are + all effectively subsets of the union. + + Parameters + ---------- + df1 : GeoDataFrame with MultiPolygon or Polygon geometry column + df2 : GeoDataFrame with MultiPolygon or Polygon geometry column + how : method of spatial overlay + use_sindex : Boolean; Use the spatial index to speed up operation. Default is True. + + Returns + ------- + df : GeoDataFrame with new set of polygons and attributes resulting from the overlay + """ + allowed_hows = [ + 'intersection', + 'union', + 'identity', + 'symmetric_difference', + 'difference', # aka erase + ] + + if how not in allowed_hows: + raise ValueError("`how` was \"%s\" but is expected to be in %s" % \ + (how, allowed_hows)) + + # Collect the interior and exterior rings + rings1 = _extract_rings(df1) + rings2 = _extract_rings(df2) + mls1 = MultiLineString(rings1) + mls2 = MultiLineString(rings2) + + # Union and polygonize + try: + # calculating union (try the fast unary_union) + mm = unary_union([mls1, mls2]) + except: + # unary_union FAILED + # see https://github.com/Toblerity/Shapely/issues/47#issuecomment-18506767 + # calculating union again (using the slow a.union(b)) + mm = mls1.union(mls2) + newpolys = polygonize(mm) + + # determine spatial relationship + collection = [] + for fid, newpoly in enumerate(newpolys): + cent = newpoly.representative_point() + + # Test intersection with original polys + # FIXME there should be a higher-level abstraction to search by bounds + # and fall back in the case of no index? + if hasattr(df1, '_sindex') and df1._sindex is not None and use_sindex: + candidates1 = [x.object for x in + df1._sindex.intersection(newpoly.bounds, objects=True)] + else: + candidates1 = [i for i, x in df1.iterrows()] + + if hasattr(df2, '_sindex') and df2._sindex is not None and use_sindex: + candidates2 = [x.object for x in + df2._sindex.intersection(newpoly.bounds, objects=True)] + else: + candidates2 = [i for i, x in df2.iterrows()] + + df1_hit = False + df2_hit = False + prop1 = None + prop2 = None + for cand_id in candidates1: + cand = df1.ix[cand_id] + if cent.intersects(cand.geometry): + df1_hit = True + prop1 = cand + break # Take the first hit + for cand_id in candidates2: + cand = df2.ix[cand_id] + if cent.intersects(cand.geometry): + df2_hit = True + prop2 = cand + break # Take the first hit + + # determine spatial relationship based on type of overlay + hit = False + if how == "intersection" and (df1_hit and df2_hit): + hit = True + elif how == "union" and (df1_hit or df2_hit): + hit = True + elif how == "identity" and df1_hit: + hit = True + elif how == "symmetric_difference" and not (df1_hit and df2_hit): + hit = True + elif how == "difference" and (df1_hit and not df2_hit): + hit = True + + if not hit: + continue + + # gather properties + if prop1 is None: + prop1 = pd.Series(dict.fromkeys(df1.columns, None)) + if prop2 is None: + prop2 = pd.Series(dict.fromkeys(df2.columns, None)) + + # Concat but don't retain the original geometries + out_series = pd.concat([prop1.drop(df1._geometry_column_name), + prop2.drop(df2._geometry_column_name)]) + + out_series.index = _uniquify(out_series.index) + + # Create a geoseries and add it to the collection + out_series['geometry'] = newpoly + + # FIXME is there a more idomatic way to append a geometry to a Series + # and get a GeoSeries back? + out_series.__class__ = GeoSeries + out_series._geometry_column_name = 'geometry' + collection.append(out_series) + + # Create geodataframe, clean up indicies and return it + gdf = GeoDataFrame(collection).reset_index() + gdf.drop('index', axis=1, inplace=True) + return gdf diff --git a/tests/test_overlay.py b/tests/test_overlay.py new file mode 100644 index 0000000..83f51f9 --- /dev/null +++ b/tests/test_overlay.py @@ -0,0 +1,88 @@ +from __future__ import absolute_import +import tempfile +import shutil +from shapely.geometry import Point +from geopandas import GeoDataFrame, read_file +from geopandas.tools import overlay +from .util import unittest, download_nybb + + +class TestDataFrame(unittest.TestCase): + + def setUp(self): + N = 10 + + nybb_filename = download_nybb() + + self.polydf = read_file('/nybb_14a_av/nybb.shp', vfs='zip://' + nybb_filename) + self.tempdir = tempfile.mkdtemp() + self.crs = {'init': 'epsg:4326'} + b = [int(x) for x in self.polydf.total_bounds] + self.polydf2 = GeoDataFrame([ + {'geometry' : Point(x, y).buffer(10000), 'value1': x + y, 'value2': x - y} + for x, y in zip(range(b[0], b[2], int((b[2]-b[0])/N)), + range(b[1], b[3], int((b[3]-b[1])/N)))], crs=self.crs) + self.pointdf = GeoDataFrame([ + {'geometry' : Point(x, y), 'value1': x + y, 'value2': x - y} + for x, y in zip(range(b[0], b[2], int((b[2]-b[0])/N)), + range(b[1], b[3], int((b[3]-b[1])/N)))], crs=self.crs) + + # TODO this appears to be necessary; + # why is the sindex not generated automatically? + self.polydf2._generate_sindex() + + self.union_shape = (180, 7) + + def tearDown(self): + shutil.rmtree(self.tempdir) + + def test_union(self): + df = overlay(self.polydf, self.polydf2, how="union") + self.assertEquals(df.shape, self.union_shape) + self.assertTrue('value1' in df.columns and 'Shape_Area' in df.columns) + + def test_union_no_index(self): + # explicitly ignore indicies + dfB = overlay(self.polydf, self.polydf2, how="union", use_sindex=False) + self.assertEquals(dfB.shape, self.union_shape) + + # remove indicies from df + self.polydf._sindex = None + self.polydf2._sindex = None + dfC = overlay(self.polydf, self.polydf2, how="union") + self.assertEquals(dfC.shape, self.union_shape) + + def test_intersection(self): + df = overlay(self.polydf, self.polydf2, how="intersection") + self.assertIsNotNone(df['BoroName'][0]) + self.assertEquals(df.shape, (68, 7)) + + def test_identity(self): + df = overlay(self.polydf, self.polydf2, how="identity") + self.assertEquals(df.shape, (154, 7)) + + def test_symmetric_difference(self): + df = overlay(self.polydf, self.polydf2, how="symmetric_difference") + self.assertEquals(df.shape, (122, 7)) + + def test_difference(self): + df = overlay(self.polydf, self.polydf2, how="difference") + self.assertEquals(df.shape, (86, 7)) + + def test_bad_how(self): + self.assertRaises(ValueError, + overlay, self.polydf, self.polydf, how="spandex") + + def test_nonpoly(self): + self.assertRaises(TypeError, + overlay, self.pointdf, self.polydf, how="union") + + def test_duplicate_column_name(self): + polydf2r = self.polydf2.rename(columns={'value2': 'Shape_Area'}) + df = overlay(self.polydf, polydf2r, how="union") + self.assertTrue('Shape_Area_2' in df.columns and 'Shape_Area' in df.columns) + + + + +