[1910] | 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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[3054] | 7 | from utilities.numerical_tools import ensure_numeric |
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[1910] | 8 | |
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| 9 | from polygon import * |
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[3051] | 10 | from coordinate_transforms.geo_reference import Geo_reference |
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[3054] | 11 | from geospatial_data.geospatial_data import Geospatial_data |
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[1910] | 12 | |
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| 13 | def test_function(x, y): |
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| 14 | return x+y |
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| 15 | |
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| 16 | class Test_Polygon(unittest.TestCase): |
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| 17 | def setUp(self): |
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| 18 | pass |
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| 19 | |
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| 20 | def tearDown(self): |
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| 21 | pass |
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| 22 | |
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| 23 | |
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| 24 | def test_that_C_extension_compiles(self): |
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| 25 | FN = 'polygon_ext.c' |
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| 26 | try: |
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| 27 | import polygon_ext |
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| 28 | except: |
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| 29 | from compile import compile |
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| 30 | |
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| 31 | try: |
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| 32 | compile(FN) |
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| 33 | except: |
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| 34 | raise 'Could not compile %s' %FN |
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| 35 | else: |
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| 36 | import polygon_ext |
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| 37 | |
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| 38 | |
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| 39 | #Polygon stuff |
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| 40 | def test_polygon_function_constants(self): |
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| 41 | p1 = [[0,0], [10,0], [10,10], [0,10]] |
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| 42 | p2 = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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| 43 | |
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| 44 | f = Polygon_function( [(p1, 1.0)] ) |
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| 45 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1 |
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| 46 | assert allclose(z, [1,1,0,0]) |
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| 47 | |
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| 48 | |
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| 49 | f = Polygon_function( [(p2, 2.0)] ) |
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| 50 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #First and last inside p2 |
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| 51 | assert allclose(z, [2,0,0,2]) |
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| 52 | |
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| 53 | |
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| 54 | #Combined |
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| 55 | f = Polygon_function( [(p1, 1.0), (p2, 2.0)] ) |
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| 56 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 57 | assert allclose(z, [2,1,0,2]) |
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| 58 | |
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| 59 | |
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[2375] | 60 | def test_polygon_function_georef(self): |
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| 61 | """Check that georeferencing works |
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| 62 | """ |
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| 63 | |
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| 64 | from coordinate_transforms.geo_reference import Geo_reference |
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| 65 | |
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| 66 | geo = Geo_reference(56, 200, 1000) |
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| 67 | |
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| 68 | #Make points 'absolute' |
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| 69 | p1 = [[200,1000], [210,1000], [210,1010], [200,1010]] |
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| 70 | p2 = [[200,1000], [210,1010], [215,1005], [220, 1010], [225,1000], |
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| 71 | [230,1010], [240,990]] |
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| 72 | |
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| 73 | f = Polygon_function( [(p1, 1.0)], geo_reference = geo ) |
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| 74 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1 |
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| 75 | |
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| 76 | assert allclose(z, [1,1,0,0]) |
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| 77 | |
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| 78 | |
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| 79 | f = Polygon_function( [(p2, 2.0)], geo_reference = geo ) |
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| 80 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #First and last inside p2 |
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| 81 | assert allclose(z, [2,0,0,2]) |
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| 82 | |
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| 83 | |
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| 84 | #Combined |
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| 85 | f = Polygon_function( [(p1, 1.0), (p2, 2.0)], geo_reference = geo ) |
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| 86 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 87 | assert allclose(z, [2,1,0,2]) |
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| 88 | |
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| 89 | |
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| 90 | #Check that it would fail without geo |
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| 91 | f = Polygon_function( [(p1, 1.0), (p2, 2.0)]) |
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| 92 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 93 | assert not allclose(z, [2,1,0,2]) |
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| 94 | |
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| 95 | |
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| 96 | |
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[1910] | 97 | def test_polygon_function_callable(self): |
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| 98 | """Check that values passed into Polygon_function can be callable |
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| 99 | themselves. |
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| 100 | """ |
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| 101 | p1 = [[0,0], [10,0], [10,10], [0,10]] |
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| 102 | p2 = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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| 103 | |
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| 104 | f = Polygon_function( [(p1, test_function)] ) |
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| 105 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1 |
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| 106 | assert allclose(z, [10,14,0,0]) |
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| 107 | |
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| 108 | #Combined |
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| 109 | f = Polygon_function( [(p1, test_function), (p2, 2.0)] ) |
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| 110 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 111 | assert allclose(z, [2,14,0,2]) |
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| 112 | |
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| 113 | |
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| 114 | #Combined w default |
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| 115 | f = Polygon_function( [(p1, test_function), (p2, 2.0)], default = 3.14) |
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| 116 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 117 | assert allclose(z, [2,14,3.14,2]) |
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| 118 | |
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| 119 | |
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| 120 | #Combined w default func |
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| 121 | f = Polygon_function( [(p1, test_function), (p2, 2.0)], |
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| 122 | default = test_function) |
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| 123 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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| 124 | assert allclose(z, [2,14,35,2]) |
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| 125 | |
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| 126 | |
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[2375] | 127 | |
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[1910] | 128 | def test_point_on_line(self): |
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| 129 | |
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| 130 | #Endpoints first |
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| 131 | assert point_on_line( 0, 0, 0,0, 1,0 ) |
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| 132 | assert point_on_line( 1, 0, 0,0, 1,0 ) |
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| 133 | |
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| 134 | #Then points on line |
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| 135 | assert point_on_line( 0.5, 0, 0,0, 1,0 ) |
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| 136 | assert point_on_line( 0, 0.5, 0,1, 0,0 ) |
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| 137 | assert point_on_line( 1, 0.5, 1,1, 1,0 ) |
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| 138 | assert point_on_line( 0.5, 0.5, 0,0, 1,1 ) |
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| 139 | |
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| 140 | #Then points not on line |
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| 141 | assert not point_on_line( 0.5, 0, 0,1, 1,1 ) |
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| 142 | assert not point_on_line( 0, 0.5, 0,0, 1,1 ) |
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| 143 | |
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| 144 | #From real example that failed |
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| 145 | assert not point_on_line( 40,50, 40,20, 40,40 ) |
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| 146 | |
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| 147 | |
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| 148 | #From real example that failed |
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| 149 | assert not point_on_line( 40,19, 40,20, 40,40 ) |
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| 150 | |
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| 151 | |
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| 152 | |
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| 153 | |
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[3052] | 154 | def test_is_inside_polygon_main(self): |
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[1910] | 155 | |
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| 156 | |
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| 157 | #Simplest case: Polygon is the unit square |
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| 158 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 159 | |
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[3052] | 160 | assert is_inside_polygon( (0.5, 0.5), polygon ) |
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| 161 | assert not is_inside_polygon( (0.5, 1.5), polygon ) |
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| 162 | assert not is_inside_polygon( (0.5, -0.5), polygon ) |
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| 163 | assert not is_inside_polygon( (-0.5, 0.5), polygon ) |
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| 164 | assert not is_inside_polygon( (1.5, 0.5), polygon ) |
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[1910] | 165 | |
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| 166 | #Try point on borders |
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[3052] | 167 | assert is_inside_polygon( (1., 0.5), polygon, closed=True) |
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| 168 | assert is_inside_polygon( (0.5, 1), polygon, closed=True) |
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| 169 | assert is_inside_polygon( (0., 0.5), polygon, closed=True) |
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| 170 | assert is_inside_polygon( (0.5, 0.), polygon, closed=True) |
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[1910] | 171 | |
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[3052] | 172 | assert not is_inside_polygon( (0.5, 1), polygon, closed=False) |
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| 173 | assert not is_inside_polygon( (0., 0.5), polygon, closed=False) |
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| 174 | assert not is_inside_polygon( (0.5, 0.), polygon, closed=False) |
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| 175 | assert not is_inside_polygon( (1., 0.5), polygon, closed=False) |
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[1910] | 176 | |
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| 177 | |
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[3052] | 178 | def test_inside_polygon_main(self): |
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[1910] | 179 | |
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[3052] | 180 | #Simplest case: Polygon is the unit square |
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| 181 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 182 | |
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[1910] | 183 | #From real example (that failed) |
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| 184 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
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| 185 | points = [ [40, 50] ] |
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| 186 | res = inside_polygon(points, polygon) |
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| 187 | assert len(res) == 0 |
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| 188 | |
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| 189 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
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| 190 | points = [ [25, 25], [30, 20], [40, 50], [90, 20], [40, 90] ] |
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| 191 | res = inside_polygon(points, polygon) |
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| 192 | assert len(res) == 2 |
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| 193 | assert allclose(res, [0,1]) |
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| 194 | |
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| 195 | |
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| 196 | |
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| 197 | #More convoluted and non convex polygon |
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| 198 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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[3052] | 199 | assert is_inside_polygon( (0.5, 0.5), polygon ) |
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| 200 | assert is_inside_polygon( (1, -0.5), polygon ) |
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| 201 | assert is_inside_polygon( (1.5, 0), polygon ) |
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[1910] | 202 | |
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[3052] | 203 | assert not is_inside_polygon( (0.5, 1.5), polygon ) |
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| 204 | assert not is_inside_polygon( (0.5, -0.5), polygon ) |
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[1910] | 205 | |
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| 206 | |
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| 207 | #Very convoluted polygon |
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| 208 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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[3052] | 209 | assert is_inside_polygon( (5, 5), polygon ) |
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| 210 | assert is_inside_polygon( (17, 7), polygon ) |
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| 211 | assert is_inside_polygon( (27, 2), polygon ) |
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| 212 | assert is_inside_polygon( (35, -5), polygon ) |
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| 213 | assert not is_inside_polygon( (15, 7), polygon ) |
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| 214 | assert not is_inside_polygon( (24, 3), polygon ) |
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| 215 | assert not is_inside_polygon( (25, -10), polygon ) |
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[1910] | 216 | |
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| 217 | |
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| 218 | |
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| 219 | #Another combination (that failed) |
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| 220 | polygon = [[0,0], [10,0], [10,10], [0,10]] |
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[3052] | 221 | assert is_inside_polygon( (5, 5), polygon ) |
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| 222 | assert is_inside_polygon( (7, 7), polygon ) |
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| 223 | assert not is_inside_polygon( (-17, 7), polygon ) |
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| 224 | assert not is_inside_polygon( (7, 17), polygon ) |
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| 225 | assert not is_inside_polygon( (17, 7), polygon ) |
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| 226 | assert not is_inside_polygon( (27, 8), polygon ) |
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| 227 | assert not is_inside_polygon( (35, -5), polygon ) |
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[1910] | 228 | |
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| 229 | |
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| 230 | |
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| 231 | |
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| 232 | #Multiple polygons |
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| 233 | |
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| 234 | polygon = [[0,0], [1,0], [1,1], [0,1], [0,0], |
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| 235 | [10,10], [11,10], [11,11], [10,11], [10,10]] |
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[3052] | 236 | assert is_inside_polygon( (0.5, 0.5), polygon ) |
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| 237 | assert is_inside_polygon( (10.5, 10.5), polygon ) |
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[1910] | 238 | |
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| 239 | #FIXME: Fails if point is 5.5, 5.5 |
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[3052] | 240 | assert not is_inside_polygon( (0, 5.5), polygon ) |
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[1910] | 241 | |
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| 242 | #Polygon with a hole |
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| 243 | polygon = [[-1,-1], [2,-1], [2,2], [-1,2], [-1,-1], |
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| 244 | [0,0], [1,0], [1,1], [0,1], [0,0]] |
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| 245 | |
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[3052] | 246 | assert is_inside_polygon( (0, -0.5), polygon ) |
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| 247 | assert not is_inside_polygon( (0.5, 0.5), polygon ) |
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[1910] | 248 | |
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[2442] | 249 | |
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| 250 | |
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| 251 | def test_duplicate_points_being_ok(self): |
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| 252 | |
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| 253 | |
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| 254 | #Simplest case: Polygon is the unit square |
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| 255 | polygon = [[0,0], [1,0], [1,0], [1,0], [1,1], [0,1], [0,0]] |
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| 256 | |
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[3052] | 257 | assert is_inside_polygon( (0.5, 0.5), polygon ) |
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| 258 | assert not is_inside_polygon( (0.5, 1.5), polygon ) |
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| 259 | assert not is_inside_polygon( (0.5, -0.5), polygon ) |
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| 260 | assert not is_inside_polygon( (-0.5, 0.5), polygon ) |
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| 261 | assert not is_inside_polygon( (1.5, 0.5), polygon ) |
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[2442] | 262 | |
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| 263 | #Try point on borders |
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[3052] | 264 | assert is_inside_polygon( (1., 0.5), polygon, closed=True) |
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| 265 | assert is_inside_polygon( (0.5, 1), polygon, closed=True) |
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| 266 | assert is_inside_polygon( (0., 0.5), polygon, closed=True) |
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| 267 | assert is_inside_polygon( (0.5, 0.), polygon, closed=True) |
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[2442] | 268 | |
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[3052] | 269 | assert not is_inside_polygon( (0.5, 1), polygon, closed=False) |
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| 270 | assert not is_inside_polygon( (0., 0.5), polygon, closed=False) |
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| 271 | assert not is_inside_polygon( (0.5, 0.), polygon, closed=False) |
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| 272 | assert not is_inside_polygon( (1., 0.5), polygon, closed=False) |
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[2442] | 273 | |
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| 274 | #From real example |
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| 275 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
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| 276 | points = [ [40, 50] ] |
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| 277 | res = inside_polygon(points, polygon) |
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| 278 | assert len(res) == 0 |
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| 279 | |
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| 280 | |
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| 281 | |
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[1910] | 282 | def test_inside_polygon_vector_version(self): |
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| 283 | #Now try the vector formulation returning indices |
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| 284 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 285 | points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]] |
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| 286 | res = inside_polygon( points, polygon, verbose=False ) |
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| 287 | |
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| 288 | assert allclose( res, [0,1,2] ) |
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| 289 | |
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| 290 | def test_outside_polygon(self): |
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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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[3052] | 293 | assert not is_outside_polygon( [0.5, 0.5], U ) |
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[1910] | 294 | #evaluate to False as the point 0.5, 0.5 is inside the unit square |
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| 295 | |
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[3052] | 296 | assert is_outside_polygon( [1.5, 0.5], U ) |
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[1910] | 297 | #evaluate to True as the point 1.5, 0.5 is outside the unit square |
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| 298 | |
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| 299 | indices = outside_polygon( [[0.5, 0.5], [1, -0.5], [0.3, 0.2]], U ) |
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| 300 | assert allclose( indices, [1] ) |
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| 301 | |
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| 302 | #One more test of vector formulation returning indices |
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| 303 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 304 | points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]] |
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| 305 | res = outside_polygon( points, polygon ) |
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| 306 | |
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| 307 | assert allclose( res, [3, 4] ) |
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| 308 | |
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| 309 | |
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| 310 | |
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| 311 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 312 | 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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| 313 | res = outside_polygon( points, polygon ) |
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| 314 | |
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| 315 | assert allclose( res, [0, 4, 5] ) |
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| 316 | |
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| 317 | def test_outside_polygon2(self): |
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| 318 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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| 319 | |
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| 320 | assert not outside_polygon( [0.5, 1.0], U, closed = True ) |
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| 321 | #evaluate to False as the point 0.5, 1.0 is inside the unit square |
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| 322 | |
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[3052] | 323 | assert is_outside_polygon( [0.5, 1.0], U, closed = False ) |
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[1910] | 324 | #evaluate to True as the point 0.5, 1.0 is outside the unit square |
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| 325 | |
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[2062] | 326 | def test_all_outside_polygon(self): |
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| 327 | """Test case where all points are outside poly |
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| 328 | """ |
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| 329 | |
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| 330 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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| 331 | |
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| 332 | points = [[2,2], [1,3], [-1,1], [0,2]] #All outside |
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| 333 | |
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| 334 | |
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| 335 | indices, count = separate_points_by_polygon(points, U) |
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| 336 | #print indices, count |
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| 337 | assert count == 0 #None inside |
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| 338 | assert allclose(indices, [3,2,1,0]) |
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| 339 | |
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| 340 | indices = outside_polygon(points, U, closed = True) |
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| 341 | assert allclose(indices, [0,1,2,3]) |
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| 342 | |
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| 343 | indices = inside_polygon(points, U, closed = True) |
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| 344 | assert allclose(indices, []) |
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| 345 | |
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| 346 | |
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| 347 | def test_all_inside_polygon(self): |
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| 348 | """Test case where all points are inside poly |
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| 349 | """ |
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| 350 | |
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| 351 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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| 352 | |
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| 353 | points = [[0.5,0.5], [0.2,0.3], [0,0.5]] #All inside (or on edge) |
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| 354 | |
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| 355 | |
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| 356 | indices, count = separate_points_by_polygon(points, U) |
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| 357 | assert count == 3 #All inside |
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| 358 | assert allclose(indices, [0,1,2]) |
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| 359 | |
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| 360 | indices = outside_polygon(points, U, closed = True) |
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| 361 | assert allclose(indices, []) |
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| 362 | |
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| 363 | indices = inside_polygon(points, U, closed = True) |
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| 364 | assert allclose(indices, [0,1,2]) |
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| 365 | |
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| 366 | |
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[1910] | 367 | def test_separate_points_by_polygon(self): |
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| 368 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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| 369 | |
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| 370 | indices, count = separate_points_by_polygon( [[0.5, 0.5], [1, -0.5], [0.3, 0.2]], U ) |
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| 371 | assert allclose( indices, [0,2,1] ) |
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| 372 | assert count == 2 |
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| 373 | |
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| 374 | #One more test of vector formulation returning indices |
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| 375 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 376 | points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]] |
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| 377 | res, count = separate_points_by_polygon( points, polygon ) |
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| 378 | |
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| 379 | assert allclose( res, [0,1,2,4,3] ) |
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| 380 | assert count == 3 |
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| 381 | |
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| 382 | |
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| 383 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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| 384 | 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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| 385 | res, count = separate_points_by_polygon( points, polygon ) |
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| 386 | |
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| 387 | assert allclose( res, [1,2,3,5,4,0] ) |
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| 388 | assert count == 3 |
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| 389 | |
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| 390 | |
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| 391 | def test_populate_polygon(self): |
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| 392 | |
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| 393 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 394 | points = populate_polygon(polygon, 5) |
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| 395 | |
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| 396 | assert len(points) == 5 |
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| 397 | for point in points: |
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[3052] | 398 | assert is_inside_polygon(point, polygon) |
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[1910] | 399 | |
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| 400 | |
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| 401 | #Very convoluted polygon |
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| 402 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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| 403 | |
---|
| 404 | points = populate_polygon(polygon, 5) |
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| 405 | |
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| 406 | assert len(points) == 5 |
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| 407 | for point in points: |
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[3052] | 408 | assert is_inside_polygon(point, polygon) |
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[1910] | 409 | |
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| 410 | |
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| 411 | def test_populate_polygon_with_exclude(self): |
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| 412 | |
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| 413 | |
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| 414 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 415 | ex_poly = [[0,0], [0.5,0], [0.5, 0.5], [0,0.5]] #SW quarter |
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| 416 | points = populate_polygon(polygon, 5, exclude = [ex_poly]) |
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| 417 | |
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| 418 | assert len(points) == 5 |
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| 419 | for point in points: |
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[3052] | 420 | assert is_inside_polygon(point, polygon) |
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| 421 | assert not is_inside_polygon(point, ex_poly) |
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[1910] | 422 | |
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| 423 | |
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| 424 | #overlap |
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| 425 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 426 | ex_poly = [[-1,-1], [0.5,0], [0.5, 0.5], [-1,0.5]] |
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| 427 | points = populate_polygon(polygon, 5, exclude = [ex_poly]) |
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| 428 | |
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| 429 | assert len(points) == 5 |
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| 430 | for point in points: |
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[3052] | 431 | assert is_inside_polygon(point, polygon) |
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| 432 | assert not is_inside_polygon(point, ex_poly) |
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[1910] | 433 | |
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| 434 | #Multiple |
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| 435 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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| 436 | ex_poly1 = [[0,0], [0.5,0], [0.5, 0.5], [0,0.5]] #SW quarter |
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| 437 | ex_poly2 = [[0.5,0.5], [0.5,1], [1, 1], [1,0.5]] #NE quarter |
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| 438 | |
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| 439 | points = populate_polygon(polygon, 20, exclude = [ex_poly1, ex_poly2]) |
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| 440 | |
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| 441 | assert len(points) == 20 |
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| 442 | for point in points: |
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[3052] | 443 | assert is_inside_polygon(point, polygon) |
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| 444 | assert not is_inside_polygon(point, ex_poly1) |
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| 445 | assert not is_inside_polygon(point, ex_poly2) |
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[1910] | 446 | |
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| 447 | |
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| 448 | #Very convoluted polygon |
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| 449 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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| 450 | ex_poly = [[-1,-1], [5,0], [5, 5], [-1,5]] |
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| 451 | points = populate_polygon(polygon, 20, exclude = [ex_poly]) |
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| 452 | |
---|
| 453 | assert len(points) == 20 |
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| 454 | for point in points: |
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[3052] | 455 | assert is_inside_polygon(point, polygon) |
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| 456 | assert not is_inside_polygon(point, ex_poly), '%s' %str(point) |
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[1910] | 457 | |
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[3196] | 458 | |
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| 459 | def test_populate_polygon_with_exclude2(self): |
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| 460 | |
---|
| 461 | |
---|
| 462 | min_outer = 0 |
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| 463 | max_outer = 1000 |
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| 464 | polygon_outer = [[min_outer,min_outer],[max_outer,min_outer], |
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| 465 | [max_outer,max_outer],[min_outer,max_outer]] |
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| 466 | |
---|
| 467 | delta = 10 |
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| 468 | min_inner1 = min_outer + delta |
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| 469 | max_inner1 = max_outer - delta |
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| 470 | inner1_polygon = [[min_inner1,min_inner1],[max_inner1,min_inner1], |
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| 471 | [max_inner1,max_inner1],[min_inner1,max_inner1]] |
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| 472 | |
---|
| 473 | |
---|
| 474 | density_inner2 = 1000 |
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| 475 | min_inner2 = min_outer + 2*delta |
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| 476 | max_inner2 = max_outer - 2*delta |
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| 477 | inner2_polygon = [[min_inner2,min_inner2],[max_inner2,min_inner2], |
---|
| 478 | [max_inner2,max_inner2],[min_inner2,max_inner2]] |
---|
| 479 | |
---|
| 480 | points = populate_polygon(polygon_outer, 20, exclude = [inner1_polygon, inner2_polygon]) |
---|
| 481 | |
---|
| 482 | assert len(points) == 20 |
---|
| 483 | for point in points: |
---|
| 484 | assert is_inside_polygon(point, polygon_outer) |
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| 485 | assert not is_inside_polygon(point, inner1_polygon) |
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| 486 | assert not is_inside_polygon(point, inner2_polygon) |
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| 487 | |
---|
| 488 | |
---|
| 489 | #Very convoluted polygon |
---|
| 490 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
---|
| 491 | ex_poly = [[-1,-1], [5,0], [5, 5], [-1,5]] |
---|
| 492 | points = populate_polygon(polygon, 20, exclude = [ex_poly]) |
---|
| 493 | |
---|
| 494 | assert len(points) == 20 |
---|
| 495 | for point in points: |
---|
| 496 | assert is_inside_polygon(point, polygon) |
---|
| 497 | assert not is_inside_polygon(point, ex_poly), '%s' %str(point) |
---|
| 498 | |
---|
[2200] | 499 | def test_point_in_polygon(self): |
---|
| 500 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
| 501 | point = point_in_polygon(polygon) |
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[3052] | 502 | assert is_inside_polygon(point, polygon) |
---|
[1910] | 503 | |
---|
[2310] | 504 | #this may get into a vicious loop |
---|
| 505 | #polygon = [[1e32,1e54], [1,0], [1,1], [0,1]] |
---|
| 506 | |
---|
[2311] | 507 | polygon = [[1e15,1e7], [1,0], [1,1], [0,1]] |
---|
[2200] | 508 | point = point_in_polygon(polygon) |
---|
[3052] | 509 | assert is_inside_polygon(point, polygon) |
---|
[1910] | 510 | |
---|
[2200] | 511 | |
---|
| 512 | polygon = [[0,0], [1,0], [1,1], [1e8,1e8]] |
---|
| 513 | point = point_in_polygon(polygon) |
---|
[3052] | 514 | assert is_inside_polygon(point, polygon) |
---|
[2311] | 515 | |
---|
[2200] | 516 | |
---|
[2310] | 517 | polygon = [[1e32,1e54], [-1e32,1e54], [1e32,-1e54]] |
---|
[2200] | 518 | point = point_in_polygon(polygon) |
---|
[3052] | 519 | assert is_inside_polygon(point, polygon) |
---|
[2311] | 520 | |
---|
[2200] | 521 | |
---|
[2311] | 522 | polygon = [[1e18,1e15], [1,0], [0,1]] |
---|
[2200] | 523 | point = point_in_polygon(polygon) |
---|
[3052] | 524 | assert is_inside_polygon(point, polygon) |
---|
[2200] | 525 | |
---|
[2655] | 526 | def test_in_and_outside_polygon_main(self): |
---|
| 527 | |
---|
| 528 | |
---|
| 529 | #Simplest case: Polygon is the unit square |
---|
| 530 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
| 531 | |
---|
| 532 | inside, outside = in_and_outside_polygon( (0.5, 0.5), polygon ) |
---|
| 533 | assert inside[0] == 0 |
---|
| 534 | assert len(outside) == 0 |
---|
| 535 | |
---|
| 536 | inside, outside = in_and_outside_polygon( (1., 0.5), polygon, closed=True) |
---|
| 537 | assert inside[0] == 0 |
---|
| 538 | assert len(outside) == 0 |
---|
| 539 | |
---|
| 540 | inside, outside = in_and_outside_polygon( (1., 0.5), polygon, closed=False) |
---|
| 541 | assert len(inside) == 0 |
---|
| 542 | assert outside[0] == 0 |
---|
| 543 | |
---|
| 544 | points = [(1., 0.25),(1., 0.75) ] |
---|
| 545 | inside, outside = in_and_outside_polygon( points, polygon, closed=True) |
---|
| 546 | assert (inside, [0,1]) |
---|
| 547 | assert len(outside) == 0 |
---|
| 548 | |
---|
| 549 | inside, outside = in_and_outside_polygon( points, polygon, closed=False) |
---|
| 550 | assert len(inside) == 0 |
---|
| 551 | assert (outside, [0,1]) |
---|
| 552 | |
---|
| 553 | |
---|
| 554 | points = [(100., 0.25),(0.5, 0.5) ] |
---|
| 555 | inside, outside = in_and_outside_polygon( points, polygon) |
---|
| 556 | assert (inside, [1]) |
---|
| 557 | assert outside[0] == 0 |
---|
| 558 | |
---|
| 559 | points = [(100., 0.25),(0.5, 0.5), (39,20), (0.6,0.7),(56,43),(67,90) ] |
---|
| 560 | inside, outside = in_and_outside_polygon( points, polygon) |
---|
| 561 | assert (inside, [1,3]) |
---|
| 562 | assert (outside, [0,2,4,5]) |
---|
| 563 | |
---|
| 564 | def zzztest_inside_polygon_main(self): |
---|
| 565 | print "inside",inside |
---|
| 566 | print "outside",outside |
---|
| 567 | |
---|
| 568 | assert not inside_polygon( (0.5, 1.5), polygon ) |
---|
| 569 | assert not inside_polygon( (0.5, -0.5), polygon ) |
---|
| 570 | assert not inside_polygon( (-0.5, 0.5), polygon ) |
---|
| 571 | assert not inside_polygon( (1.5, 0.5), polygon ) |
---|
| 572 | |
---|
| 573 | #Try point on borders |
---|
| 574 | assert inside_polygon( (1., 0.5), polygon, closed=True) |
---|
| 575 | assert inside_polygon( (0.5, 1), polygon, closed=True) |
---|
| 576 | assert inside_polygon( (0., 0.5), polygon, closed=True) |
---|
| 577 | assert inside_polygon( (0.5, 0.), polygon, closed=True) |
---|
| 578 | |
---|
| 579 | assert not inside_polygon( (0.5, 1), polygon, closed=False) |
---|
| 580 | assert not inside_polygon( (0., 0.5), polygon, closed=False) |
---|
| 581 | assert not inside_polygon( (0.5, 0.), polygon, closed=False) |
---|
| 582 | assert not inside_polygon( (1., 0.5), polygon, closed=False) |
---|
| 583 | |
---|
| 584 | |
---|
| 585 | |
---|
| 586 | #From real example (that failed) |
---|
| 587 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
---|
| 588 | points = [ [40, 50] ] |
---|
| 589 | res = inside_polygon(points, polygon) |
---|
| 590 | assert len(res) == 0 |
---|
| 591 | |
---|
| 592 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
---|
| 593 | points = [ [25, 25], [30, 20], [40, 50], [90, 20], [40, 90] ] |
---|
| 594 | res = inside_polygon(points, polygon) |
---|
| 595 | assert len(res) == 2 |
---|
| 596 | assert allclose(res, [0,1]) |
---|
[2912] | 597 | |
---|
| 598 | def test_polygon_area(self): |
---|
| 599 | |
---|
| 600 | #Simplest case: Polygon is the unit square |
---|
| 601 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
| 602 | assert polygon_area(polygon) == 1 |
---|
| 603 | |
---|
| 604 | #Simple case: Polygon is a rectangle |
---|
| 605 | polygon = [[0,0], [1,0], [1,4], [0,4]] |
---|
| 606 | assert polygon_area(polygon) == 4 |
---|
| 607 | |
---|
| 608 | #Simple case: Polygon is a unit triangle |
---|
| 609 | polygon = [[0,0], [1,0], [0,1]] |
---|
| 610 | assert polygon_area(polygon) == 0.5 |
---|
| 611 | |
---|
| 612 | #Simple case: Polygon is a diamond |
---|
| 613 | polygon = [[0,0], [1,1], [2,0], [1, -1]] |
---|
| 614 | assert polygon_area(polygon) == 2.0 |
---|
| 615 | |
---|
| 616 | def test_poly_xy(self): |
---|
| 617 | |
---|
| 618 | #Simplest case: Polygon is the unit square |
---|
| 619 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
| 620 | x, y = poly_xy(polygon) |
---|
| 621 | assert len(x) == len(polygon)+1 |
---|
| 622 | assert len(y) == len(polygon)+1 |
---|
| 623 | assert x[0] == 0 |
---|
| 624 | assert x[1] == 1 |
---|
| 625 | assert x[2] == 1 |
---|
| 626 | assert x[3] == 0 |
---|
| 627 | assert y[0] == 0 |
---|
| 628 | assert y[1] == 0 |
---|
| 629 | assert y[2] == 1 |
---|
| 630 | assert y[3] == 1 |
---|
| 631 | |
---|
| 632 | #Arbitrary polygon |
---|
| 633 | polygon = [[1,5], [1,1], [100,10], [1,10], [3,6]] |
---|
| 634 | x, y = poly_xy(polygon) |
---|
| 635 | assert len(x) == len(polygon)+1 |
---|
| 636 | assert len(y) == len(polygon)+1 |
---|
| 637 | assert x[0] == 1 |
---|
| 638 | assert x[1] == 1 |
---|
| 639 | assert x[2] == 100 |
---|
| 640 | assert x[3] == 1 |
---|
| 641 | assert x[4] == 3 |
---|
| 642 | assert y[0] == 5 |
---|
| 643 | assert y[1] == 1 |
---|
| 644 | assert y[2] == 10 |
---|
| 645 | assert y[3] == 10 |
---|
| 646 | assert y[4] == 6 |
---|
| 647 | |
---|
[3052] | 648 | # Disabled |
---|
| 649 | def xtest_plot_polygons(self): |
---|
| 650 | |
---|
[2912] | 651 | import os |
---|
[2655] | 652 | |
---|
[2912] | 653 | #Simplest case: Polygon is the unit square |
---|
| 654 | polygon1 = [[0,0], [1,0], [1,1], [0,1]] |
---|
| 655 | polygon2 = [[1,1], [2,1], [3,2], [2,2]] |
---|
| 656 | v = plot_polygons([polygon1, polygon2],'test1') |
---|
| 657 | assert len(v) == 4 |
---|
| 658 | assert v[0] == 0 |
---|
| 659 | assert v[1] == 3 |
---|
| 660 | assert v[2] == 0 |
---|
| 661 | assert v[3] == 2 |
---|
| 662 | |
---|
| 663 | #Another case |
---|
| 664 | polygon3 = [[1,5], [10,1], [100,10], [50,10], [3,6]] |
---|
| 665 | v = plot_polygons([polygon2,polygon3],'test2') |
---|
| 666 | assert len(v) == 4 |
---|
| 667 | assert v[0] == 1 |
---|
| 668 | assert v[1] == 100 |
---|
| 669 | assert v[2] == 1 |
---|
| 670 | assert v[3] == 10 |
---|
| 671 | |
---|
| 672 | os.remove('test1.png') |
---|
| 673 | os.remove('test2.png') |
---|
[3051] | 674 | |
---|
[2912] | 675 | |
---|
[3054] | 676 | def test_inside_polygon_geospatial(self): |
---|
[3051] | 677 | |
---|
| 678 | |
---|
[3054] | 679 | polygon_absolute = [[0,0], [1,0], [1,1], [0,1]] |
---|
| 680 | poly_geo_ref = Geo_reference(57,100,100) |
---|
| 681 | |
---|
| 682 | |
---|
| 683 | |
---|
| 684 | |
---|
[3051] | 685 | #Simplest case: Polygon is the unit square |
---|
| 686 | polygon_absolute = [[0,0], [1,0], [1,1], [0,1]] |
---|
| 687 | poly_geo_ref = Geo_reference(57,100,100) |
---|
| 688 | polygon = poly_geo_ref.change_points_geo_ref(polygon_absolute) |
---|
[3054] | 689 | poly_spatial = Geospatial_data(polygon, |
---|
| 690 | geo_reference=poly_geo_ref) |
---|
| 691 | |
---|
[3051] | 692 | points_absolute = (0.5, 0.5) |
---|
| 693 | points_geo_ref = Geo_reference(57,78,-56) |
---|
| 694 | points = points_geo_ref.change_points_geo_ref(points_absolute) |
---|
[3054] | 695 | points_spatial = Geospatial_data(points, |
---|
| 696 | geo_reference=points_geo_ref) |
---|
| 697 | |
---|
| 698 | assert is_inside_polygon(points_absolute, polygon_absolute) |
---|
| 699 | assert is_inside_polygon(ensure_numeric(points_absolute), |
---|
| 700 | ensure_numeric(polygon_absolute)) |
---|
| 701 | assert is_inside_polygon(points_absolute, poly_spatial) |
---|
| 702 | assert is_inside_polygon(points_spatial, poly_spatial) |
---|
| 703 | assert is_inside_polygon(points_spatial, polygon_absolute) |
---|
[3051] | 704 | |
---|
[3052] | 705 | assert is_inside_polygon(points_absolute, polygon_absolute) |
---|
[3051] | 706 | |
---|
[3054] | 707 | |
---|
[1910] | 708 | #------------------------------------------------------------- |
---|
| 709 | if __name__ == "__main__": |
---|
| 710 | suite = unittest.makeSuite(Test_Polygon,'test') |
---|
[3051] | 711 | #suite = unittest.makeSuite(Test_Polygon,'test_inside_polygon_geo_ref') |
---|
[1910] | 712 | runner = unittest.TextTestRunner() |
---|
| 713 | runner.run(suite) |
---|
| 714 | |
---|
| 715 | |
---|
| 716 | |
---|
| 717 | |
---|