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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