| 1 | #!/usr/bin/env python |
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| 2 | |
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| 3 | |
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| 4 | import unittest |
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| 5 | from Numeric import zeros, array, allclose |
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| 6 | from math import sqrt, pi |
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| 7 | |
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| 8 | from polygon import * |
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| 9 | |
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| 10 | |
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| 11 | def test_function(x, y): |
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| 12 | return x+y |
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| 13 | |
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| 14 | class Test_Polygon(unittest.TestCase): |
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| 15 | def setUp(self): |
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| 16 | pass |
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| 17 | |
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| 18 | def tearDown(self): |
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| 19 | pass |
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| 20 | |
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| 21 | |
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| 22 | def test_that_C_extension_compiles(self): |
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| 23 | FN = 'polygon_ext.c' |
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| 24 | try: |
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| 25 | import polygon_ext |
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| 26 | except: |
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| 27 | from compile import compile |
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| 28 | |
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| 29 | try: |
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| 30 | compile(FN) |
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| 31 | except: |
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| 32 | raise 'Could not compile %s' %FN |
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| 33 | else: |
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| 34 | import polygon_ext |
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| 35 | |
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| 36 | |
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| 37 | #Polygon stuff |
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| 38 | def test_polygon_function_constants(self): |
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| 39 | p1 = [[0,0], [10,0], [10,10], [0,10]] |
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| 40 | p2 = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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| 41 | |
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| 42 | f = Polygon_function( [(p1, 1.0)] ) |
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| 43 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1 |
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| 44 | assert allclose(z, [1,1,0,0]) |
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| 45 | |
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| 46 | |
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| 47 | f = Polygon_function( [(p2, 2.0)] ) |
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| 48 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #First and last inside p2 |
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| 49 | assert allclose(z, [2,0,0,2]) |
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| 50 | |
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| 51 | |
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| 52 | #Combined |
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| 53 | f = Polygon_function( [(p1, 1.0), (p2, 2.0)] ) |
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| 54 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 55 | assert allclose(z, [2,1,0,2]) |
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| 56 | |
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| 57 | |
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| 58 | def test_polygon_function_georef(self): |
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| 59 | """Check that georeferencing works |
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| 60 | """ |
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| 61 | |
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| 62 | from coordinate_transforms.geo_reference import Geo_reference |
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| 63 | |
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| 64 | geo = Geo_reference(56, 200, 1000) |
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| 65 | |
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| 66 | #Make points 'absolute' |
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| 67 | p1 = [[200,1000], [210,1000], [210,1010], [200,1010]] |
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| 68 | p2 = [[200,1000], [210,1010], [215,1005], [220, 1010], [225,1000], |
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| 69 | [230,1010], [240,990]] |
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| 70 | |
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| 71 | f = Polygon_function( [(p1, 1.0)], geo_reference = geo ) |
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| 72 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1 |
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| 73 | |
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| 74 | assert allclose(z, [1,1,0,0]) |
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| 75 | |
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| 76 | |
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| 77 | f = Polygon_function( [(p2, 2.0)], geo_reference = geo ) |
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| 78 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #First and last inside p2 |
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| 79 | assert allclose(z, [2,0,0,2]) |
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| 80 | |
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| 81 | |
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| 82 | #Combined |
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| 83 | f = Polygon_function( [(p1, 1.0), (p2, 2.0)], geo_reference = geo ) |
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| 84 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 85 | assert allclose(z, [2,1,0,2]) |
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| 86 | |
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| 87 | |
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| 88 | #Check that it would fail without geo |
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| 89 | f = Polygon_function( [(p1, 1.0), (p2, 2.0)]) |
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| 90 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 91 | assert not allclose(z, [2,1,0,2]) |
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| 92 | |
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| 93 | |
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| 94 | |
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| 95 | def test_polygon_function_callable(self): |
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| 96 | """Check that values passed into Polygon_function can be callable |
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| 97 | themselves. |
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| 98 | """ |
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| 99 | p1 = [[0,0], [10,0], [10,10], [0,10]] |
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| 100 | p2 = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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| 101 | |
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| 102 | f = Polygon_function( [(p1, test_function)] ) |
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| 103 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1 |
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| 104 | assert allclose(z, [10,14,0,0]) |
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| 105 | |
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| 106 | #Combined |
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| 107 | f = Polygon_function( [(p1, test_function), (p2, 2.0)] ) |
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| 108 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 109 | assert allclose(z, [2,14,0,2]) |
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| 110 | |
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| 111 | |
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| 112 | #Combined w default |
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| 113 | f = Polygon_function( [(p1, test_function), (p2, 2.0)], default = 3.14) |
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| 114 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 115 | assert allclose(z, [2,14,3.14,2]) |
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| 116 | |
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| 117 | |
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| 118 | #Combined w default func |
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| 119 | f = Polygon_function( [(p1, test_function), (p2, 2.0)], |
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| 120 | default = test_function) |
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| 121 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 122 | assert allclose(z, [2,14,35,2]) |
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| 123 | |
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| 124 | |
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| 125 | |
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| 126 | def test_point_on_line(self): |
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| 127 | |
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| 128 | #Endpoints first |
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| 129 | assert point_on_line( 0, 0, 0,0, 1,0 ) |
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| 130 | assert point_on_line( 1, 0, 0,0, 1,0 ) |
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| 131 | |
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| 132 | #Then points on line |
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| 133 | assert point_on_line( 0.5, 0, 0,0, 1,0 ) |
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| 134 | assert point_on_line( 0, 0.5, 0,1, 0,0 ) |
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| 135 | assert point_on_line( 1, 0.5, 1,1, 1,0 ) |
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| 136 | assert point_on_line( 0.5, 0.5, 0,0, 1,1 ) |
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| 137 | |
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| 138 | #Then points not on line |
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| 139 | assert not point_on_line( 0.5, 0, 0,1, 1,1 ) |
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| 140 | assert not point_on_line( 0, 0.5, 0,0, 1,1 ) |
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| 141 | |
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| 142 | #From real example that failed |
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| 143 | assert not point_on_line( 40,50, 40,20, 40,40 ) |
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| 144 | |
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| 145 | |
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| 146 | #From real example that failed |
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| 147 | assert not point_on_line( 40,19, 40,20, 40,40 ) |
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| 148 | |
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| 149 | |
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| 150 | |
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| 151 | |
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| 152 | def test_inside_polygon_main(self): |
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| 153 | |
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| 154 | |
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| 155 | #Simplest case: Polygon is the unit square |
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| 156 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 157 | |
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| 158 | assert inside_polygon( (0.5, 0.5), polygon ) |
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| 159 | assert not inside_polygon( (0.5, 1.5), polygon ) |
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| 160 | assert not inside_polygon( (0.5, -0.5), polygon ) |
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| 161 | assert not inside_polygon( (-0.5, 0.5), polygon ) |
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| 162 | assert not inside_polygon( (1.5, 0.5), polygon ) |
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| 163 | |
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| 164 | #Try point on borders |
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| 165 | assert inside_polygon( (1., 0.5), polygon, closed=True) |
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| 166 | assert inside_polygon( (0.5, 1), polygon, closed=True) |
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| 167 | assert inside_polygon( (0., 0.5), polygon, closed=True) |
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| 168 | assert inside_polygon( (0.5, 0.), polygon, closed=True) |
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| 169 | |
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| 170 | assert not inside_polygon( (0.5, 1), polygon, closed=False) |
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| 171 | assert not inside_polygon( (0., 0.5), polygon, closed=False) |
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| 172 | assert not inside_polygon( (0.5, 0.), polygon, closed=False) |
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| 173 | assert not inside_polygon( (1., 0.5), polygon, closed=False) |
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| 174 | |
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| 175 | |
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| 176 | |
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| 177 | #From real example (that failed) |
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| 178 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
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| 179 | points = [ [40, 50] ] |
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| 180 | res = inside_polygon(points, polygon) |
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| 181 | assert len(res) == 0 |
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| 182 | |
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| 183 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
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| 184 | points = [ [25, 25], [30, 20], [40, 50], [90, 20], [40, 90] ] |
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| 185 | res = inside_polygon(points, polygon) |
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| 186 | assert len(res) == 2 |
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| 187 | assert allclose(res, [0,1]) |
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| 188 | |
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| 189 | |
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| 190 | |
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| 191 | #More convoluted and non convex polygon |
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| 192 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 193 | assert inside_polygon( (0.5, 0.5), polygon ) |
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| 194 | assert inside_polygon( (1, -0.5), polygon ) |
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| 195 | assert inside_polygon( (1.5, 0), polygon ) |
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| 196 | |
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| 197 | assert not inside_polygon( (0.5, 1.5), polygon ) |
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| 198 | assert not inside_polygon( (0.5, -0.5), polygon ) |
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| 199 | |
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| 200 | |
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| 201 | #Very convoluted polygon |
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| 202 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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| 203 | assert inside_polygon( (5, 5), polygon ) |
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| 204 | assert inside_polygon( (17, 7), polygon ) |
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| 205 | assert inside_polygon( (27, 2), polygon ) |
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| 206 | assert inside_polygon( (35, -5), polygon ) |
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| 207 | assert not inside_polygon( (15, 7), polygon ) |
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| 208 | assert not inside_polygon( (24, 3), polygon ) |
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| 209 | assert not inside_polygon( (25, -10), polygon ) |
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| 210 | |
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| 211 | |
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| 212 | |
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| 213 | #Another combination (that failed) |
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| 214 | polygon = [[0,0], [10,0], [10,10], [0,10]] |
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| 215 | assert inside_polygon( (5, 5), polygon ) |
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| 216 | assert inside_polygon( (7, 7), polygon ) |
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| 217 | assert not inside_polygon( (-17, 7), polygon ) |
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| 218 | assert not inside_polygon( (7, 17), polygon ) |
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| 219 | assert not inside_polygon( (17, 7), polygon ) |
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| 220 | assert not inside_polygon( (27, 8), polygon ) |
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| 221 | assert not inside_polygon( (35, -5), polygon ) |
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| 222 | |
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| 223 | |
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| 224 | |
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| 225 | |
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| 226 | #Multiple polygons |
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| 227 | |
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| 228 | polygon = [[0,0], [1,0], [1,1], [0,1], [0,0], |
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| 229 | [10,10], [11,10], [11,11], [10,11], [10,10]] |
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| 230 | assert inside_polygon( (0.5, 0.5), polygon ) |
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| 231 | assert inside_polygon( (10.5, 10.5), polygon ) |
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| 232 | |
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| 233 | #FIXME: Fails if point is 5.5, 5.5 |
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| 234 | assert not inside_polygon( (0, 5.5), polygon ) |
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| 235 | |
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| 236 | #Polygon with a hole |
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| 237 | polygon = [[-1,-1], [2,-1], [2,2], [-1,2], [-1,-1], |
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| 238 | [0,0], [1,0], [1,1], [0,1], [0,0]] |
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| 239 | |
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| 240 | assert inside_polygon( (0, -0.5), polygon ) |
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| 241 | assert not inside_polygon( (0.5, 0.5), polygon ) |
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| 242 | |
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| 243 | def test_inside_polygon_vector_version(self): |
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| 244 | #Now try the vector formulation returning indices |
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| 245 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 246 | points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]] |
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| 247 | res = inside_polygon( points, polygon, verbose=False ) |
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| 248 | |
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| 249 | assert allclose( res, [0,1,2] ) |
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| 250 | |
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| 251 | def test_outside_polygon(self): |
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| 252 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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| 253 | |
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| 254 | assert not outside_polygon( [0.5, 0.5], U ) |
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| 255 | #evaluate to False as the point 0.5, 0.5 is inside the unit square |
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| 256 | |
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| 257 | assert outside_polygon( [1.5, 0.5], U ) |
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| 258 | #evaluate to True as the point 1.5, 0.5 is outside the unit square |
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| 259 | |
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| 260 | indices = outside_polygon( [[0.5, 0.5], [1, -0.5], [0.3, 0.2]], U ) |
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| 261 | assert allclose( indices, [1] ) |
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| 262 | |
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| 263 | #One more test of vector formulation returning indices |
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| 264 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 265 | points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]] |
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| 266 | res = outside_polygon( points, polygon ) |
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| 267 | |
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| 268 | assert allclose( res, [3, 4] ) |
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| 269 | |
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| 270 | |
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| 271 | |
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| 272 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 273 | points = [ [0.5, 1.4], [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]] |
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| 274 | res = outside_polygon( points, polygon ) |
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| 275 | |
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| 276 | assert allclose( res, [0, 4, 5] ) |
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| 277 | |
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| 278 | def test_outside_polygon2(self): |
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| 279 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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| 280 | |
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| 281 | assert not outside_polygon( [0.5, 1.0], U, closed = True ) |
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| 282 | #evaluate to False as the point 0.5, 1.0 is inside the unit square |
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| 283 | |
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| 284 | assert outside_polygon( [0.5, 1.0], U, closed = False ) |
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| 285 | #evaluate to True as the point 0.5, 1.0 is outside the unit square |
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| 286 | |
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| 287 | def test_all_outside_polygon(self): |
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| 288 | """Test case where all points are outside poly |
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| 289 | """ |
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| 290 | |
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| 291 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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| 292 | |
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| 293 | points = [[2,2], [1,3], [-1,1], [0,2]] #All outside |
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| 294 | |
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| 295 | |
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| 296 | indices, count = separate_points_by_polygon(points, U) |
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| 297 | #print indices, count |
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| 298 | assert count == 0 #None inside |
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| 299 | assert allclose(indices, [3,2,1,0]) |
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| 300 | |
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| 301 | indices = outside_polygon(points, U, closed = True) |
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| 302 | assert allclose(indices, [0,1,2,3]) |
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| 303 | |
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| 304 | indices = inside_polygon(points, U, closed = True) |
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| 305 | assert allclose(indices, []) |
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| 306 | |
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| 307 | |
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| 308 | def test_all_inside_polygon(self): |
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| 309 | """Test case where all points are inside poly |
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| 310 | """ |
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| 311 | |
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| 312 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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| 313 | |
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| 314 | points = [[0.5,0.5], [0.2,0.3], [0,0.5]] #All inside (or on edge) |
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| 315 | |
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| 316 | |
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| 317 | indices, count = separate_points_by_polygon(points, U) |
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| 318 | assert count == 3 #All inside |
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| 319 | assert allclose(indices, [0,1,2]) |
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| 320 | |
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| 321 | indices = outside_polygon(points, U, closed = True) |
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| 322 | assert allclose(indices, []) |
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| 323 | |
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| 324 | indices = inside_polygon(points, U, closed = True) |
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| 325 | assert allclose(indices, [0,1,2]) |
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| 326 | |
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| 327 | |
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| 328 | def test_separate_points_by_polygon(self): |
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| 329 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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| 330 | |
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| 331 | indices, count = separate_points_by_polygon( [[0.5, 0.5], [1, -0.5], [0.3, 0.2]], U ) |
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| 332 | assert allclose( indices, [0,2,1] ) |
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| 333 | assert count == 2 |
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| 334 | |
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| 335 | #One more test of vector formulation returning indices |
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| 336 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 337 | points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]] |
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| 338 | res, count = separate_points_by_polygon( points, polygon ) |
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| 339 | |
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| 340 | assert allclose( res, [0,1,2,4,3] ) |
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| 341 | assert count == 3 |
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| 342 | |
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| 343 | |
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| 344 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 345 | points = [ [0.5, 1.4], [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]] |
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| 346 | res, count = separate_points_by_polygon( points, polygon ) |
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| 347 | |
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| 348 | assert allclose( res, [1,2,3,5,4,0] ) |
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| 349 | assert count == 3 |
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| 350 | |
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| 351 | |
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| 352 | def test_populate_polygon(self): |
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| 353 | |
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| 354 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 355 | points = populate_polygon(polygon, 5) |
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| 356 | |
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| 357 | assert len(points) == 5 |
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| 358 | for point in points: |
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| 359 | assert inside_polygon(point, polygon) |
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| 360 | |
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| 361 | |
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| 362 | #Very convoluted polygon |
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| 363 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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| 364 | |
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| 365 | points = populate_polygon(polygon, 5) |
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| 366 | |
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| 367 | assert len(points) == 5 |
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| 368 | for point in points: |
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| 369 | assert inside_polygon(point, polygon) |
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| 370 | |
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| 371 | |
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| 372 | def test_populate_polygon_with_exclude(self): |
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| 373 | |
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| 374 | |
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| 375 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 376 | ex_poly = [[0,0], [0.5,0], [0.5, 0.5], [0,0.5]] #SW quarter |
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| 377 | points = populate_polygon(polygon, 5, exclude = [ex_poly]) |
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| 378 | |
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| 379 | assert len(points) == 5 |
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| 380 | for point in points: |
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| 381 | assert inside_polygon(point, polygon) |
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| 382 | assert not inside_polygon(point, ex_poly) |
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| 383 | |
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| 384 | |
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| 385 | #overlap |
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| 386 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 387 | ex_poly = [[-1,-1], [0.5,0], [0.5, 0.5], [-1,0.5]] |
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| 388 | points = populate_polygon(polygon, 5, exclude = [ex_poly]) |
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| 389 | |
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| 390 | assert len(points) == 5 |
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| 391 | for point in points: |
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| 392 | assert inside_polygon(point, polygon) |
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| 393 | assert not inside_polygon(point, ex_poly) |
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| 394 | |
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| 395 | #Multiple |
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| 396 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 397 | ex_poly1 = [[0,0], [0.5,0], [0.5, 0.5], [0,0.5]] #SW quarter |
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| 398 | ex_poly2 = [[0.5,0.5], [0.5,1], [1, 1], [1,0.5]] #NE quarter |
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| 399 | |
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| 400 | points = populate_polygon(polygon, 20, exclude = [ex_poly1, ex_poly2]) |
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| 401 | |
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| 402 | assert len(points) == 20 |
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| 403 | for point in points: |
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| 404 | assert inside_polygon(point, polygon) |
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| 405 | assert not inside_polygon(point, ex_poly1) |
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| 406 | assert not inside_polygon(point, ex_poly2) |
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| 407 | |
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| 408 | |
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| 409 | #Very convoluted polygon |
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| 410 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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| 411 | ex_poly = [[-1,-1], [5,0], [5, 5], [-1,5]] |
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| 412 | points = populate_polygon(polygon, 20, exclude = [ex_poly]) |
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| 413 | |
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| 414 | assert len(points) == 20 |
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| 415 | for point in points: |
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| 416 | assert inside_polygon(point, polygon) |
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| 417 | assert not inside_polygon(point, ex_poly), '%s' %str(point) |
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| 418 | |
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| 419 | def test_point_in_polygon(self): |
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| 420 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 421 | point = point_in_polygon(polygon) |
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| 422 | assert inside_polygon(point, polygon) |
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| 423 | |
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| 424 | #this may get into a vicious loop |
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| 425 | #polygon = [[1e32,1e54], [1,0], [1,1], [0,1]] |
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| 426 | |
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| 427 | polygon = [[1e15,1e7], [1,0], [1,1], [0,1]] |
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| 428 | point = point_in_polygon(polygon) |
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| 429 | assert inside_polygon(point, polygon) |
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| 430 | |
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| 431 | |
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| 432 | polygon = [[0,0], [1,0], [1,1], [1e8,1e8]] |
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| 433 | point = point_in_polygon(polygon) |
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| 434 | assert inside_polygon(point, polygon) |
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| 435 | |
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| 436 | |
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| 437 | polygon = [[1e32,1e54], [-1e32,1e54], [1e32,-1e54]] |
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| 438 | point = point_in_polygon(polygon) |
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| 439 | assert inside_polygon(point, polygon) |
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| 440 | |
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| 441 | |
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| 442 | polygon = [[1e18,1e15], [1,0], [0,1]] |
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| 443 | point = point_in_polygon(polygon) |
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| 444 | assert inside_polygon(point, polygon) |
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| 445 | |
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| 446 | #------------------------------------------------------------- |
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| 447 | if __name__ == "__main__": |
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| 448 | suite = unittest.makeSuite(Test_Polygon,'test') |
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| 449 | runner = unittest.TextTestRunner() |
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| 450 | runner.run(suite) |
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| 451 | |
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| 452 | |
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| 453 | |
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| 454 | |
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