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 | import Numeric as num |
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6 | from math import sqrt, pi |
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7 | from anuga.utilities.numerical_tools import ensure_numeric |
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8 | from anuga.utilities.system_tools import get_pathname_from_package |
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9 | |
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10 | from polygon import * |
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11 | from anuga.coordinate_transforms.geo_reference import Geo_reference |
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12 | from anuga.geospatial_data.geospatial_data import Geospatial_data |
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13 | |
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14 | def test_function(x, y): |
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15 | return x+y |
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16 | |
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17 | class Test_Polygon(unittest.TestCase): |
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18 | def setUp(self): |
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19 | pass |
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20 | |
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21 | def tearDown(self): |
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22 | pass |
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23 | |
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24 | |
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25 | def test_that_C_extension_compiles(self): |
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26 | FN = 'polygon_ext.c' |
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27 | try: |
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28 | import polygon_ext |
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29 | except: |
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30 | from compile import compile |
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31 | |
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32 | try: |
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33 | compile(FN) |
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34 | except: |
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35 | raise 'Could not compile %s' %FN |
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36 | else: |
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37 | import polygon_ext |
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38 | |
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39 | |
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40 | # Polygon stuff |
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41 | def test_polygon_function_constants(self): |
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42 | p1 = [[0,0], [10,0], [10,10], [0,10]] |
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43 | p2 = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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44 | |
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45 | f = Polygon_function( [(p1, 1.0)] ) |
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46 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1 |
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47 | assert num.allclose(z, [1,1,0,0]) |
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48 | |
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49 | |
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50 | f = Polygon_function( [(p2, 2.0)] ) |
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51 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) # First and last inside p2 |
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52 | assert num.allclose(z, [2,0,0,2]) |
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53 | |
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54 | |
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55 | #Combined |
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56 | f = Polygon_function( [(p1, 1.0), (p2, 2.0)] ) |
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57 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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58 | assert num.allclose(z, [2,1,0,2]) |
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59 | |
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60 | def test_polygon_function_csvfile(self): |
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61 | from os import sep, getenv |
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62 | |
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63 | |
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64 | # Get path where this test is run |
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65 | path = get_pathname_from_package('anuga.utilities') |
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66 | |
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67 | # Form absolute filename and read |
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68 | filename = path + sep + 'mainland_only.csv' |
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69 | p1 = read_polygon(filename) |
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70 | |
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71 | f = Polygon_function( [(p1, 10.0)] ) |
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72 | z = f([430000,480000], [490000,7720000]) # first outside, second inside |
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73 | |
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74 | assert num.allclose(z, [0,10]) |
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75 | |
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76 | def test_polygon_function_georef(self): |
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77 | """Check that georeferencing works |
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78 | """ |
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79 | |
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80 | from anuga.coordinate_transforms.geo_reference import Geo_reference |
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81 | |
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82 | geo = Geo_reference(56, 200, 1000) |
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83 | |
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84 | # Make points 'absolute' |
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85 | p1 = [[200,1000], [210,1000], [210,1010], [200,1010]] |
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86 | p2 = [[200,1000], [210,1010], [215,1005], [220, 1010], [225,1000], |
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87 | [230,1010], [240,990]] |
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88 | |
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89 | f = Polygon_function( [(p1, 1.0)], geo_reference=geo) |
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90 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1 |
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91 | |
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92 | assert num.allclose(z, [1,1,0,0]) |
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93 | |
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94 | |
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95 | f = Polygon_function( [(p2, 2.0)], geo_reference=geo) |
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96 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #First and last inside p2 |
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97 | assert num.allclose(z, [2,0,0,2]) |
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98 | |
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99 | |
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100 | # Combined |
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101 | f = Polygon_function( [(p1, 1.0), (p2, 2.0)], geo_reference=geo) |
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102 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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103 | assert num.allclose(z, [2,1,0,2]) |
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104 | |
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105 | |
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106 | # Check that it would fail without geo |
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107 | f = Polygon_function( [(p1, 1.0), (p2, 2.0)]) |
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108 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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109 | assert not num.allclose(z, [2,1,0,2]) |
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110 | |
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111 | |
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112 | |
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113 | def test_polygon_function_callable(self): |
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114 | """Check that values passed into Polygon_function can be callable |
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115 | themselves. |
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116 | """ |
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117 | p1 = [[0,0], [10,0], [10,10], [0,10]] |
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118 | p2 = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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119 | |
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120 | f = Polygon_function( [(p1, test_function)] ) |
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121 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) #Two first inside p1 |
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122 | assert num.allclose(z, [10,14,0,0]) |
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123 | |
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124 | # Combined |
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125 | f = Polygon_function( [(p1, test_function), (p2, 2.0)] ) |
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126 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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127 | assert num.allclose(z, [2,14,0,2]) |
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128 | |
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129 | |
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130 | # Combined w default |
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131 | f = Polygon_function( [(p1, test_function), (p2, 2.0)], default = 3.14) |
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132 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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133 | assert num.allclose(z, [2,14,3.14,2]) |
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134 | |
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135 | |
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136 | # Combined w default func |
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137 | f = Polygon_function( [(p1, test_function), (p2, 2.0)], |
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138 | default = test_function) |
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139 | z = f([5, 5, 27, 35], [5, 9, 8, -5]) |
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140 | assert num.allclose(z, [2,14,35,2]) |
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141 | |
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142 | |
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143 | |
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144 | def test_point_on_line(self): |
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145 | |
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146 | # Endpoints first |
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147 | assert point_on_line( [0, 0], [[0,0], [1,0]] ) |
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148 | assert point_on_line( [1, 0], [[0,0], [1,0]] ) |
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149 | |
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150 | # Then points on line |
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151 | assert point_on_line( [0.5, 0], [[0,0], [1,0]] ) |
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152 | assert point_on_line( [0, 0.5], [[0,1], [0,0]] ) |
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153 | assert point_on_line( [1, 0.5], [[1,1], [1,0]] ) |
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154 | assert point_on_line( [0.5, 0.5], [[0,0], [1,1]] ) |
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155 | |
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156 | # Then points not on line |
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157 | assert not point_on_line( [0.5, 0], [[0,1], [1,1]] ) |
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158 | assert not point_on_line( [0, 0.5], [[0,0], [1,1]] ) |
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159 | |
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160 | # From real example that failed |
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161 | assert not point_on_line( [40,50], [[40,20], [40,40]] ) |
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162 | |
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163 | |
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164 | # From real example that failed |
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165 | assert not point_on_line( [40,19], [[40,20], [40,40]] ) |
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166 | |
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167 | # Degenerate line |
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168 | assert point_on_line( [40,19], [[40,19], [40,19]] ) |
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169 | assert not point_on_line( [40,19], [[40,40], [40,40]] ) |
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170 | |
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171 | |
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172 | |
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173 | def test_is_inside_polygon_main(self): |
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174 | |
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175 | |
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176 | # Simplest case: Polygon is the unit square |
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177 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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178 | |
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179 | assert is_inside_polygon( (0.5, 0.5), polygon ) |
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180 | assert not is_inside_polygon( (0.5, 1.5), polygon ) |
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181 | assert not is_inside_polygon( (0.5, -0.5), polygon ) |
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182 | assert not is_inside_polygon( (-0.5, 0.5), polygon ) |
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183 | assert not is_inside_polygon( (1.5, 0.5), polygon ) |
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184 | |
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185 | # Try point on borders |
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186 | assert is_inside_polygon( (1., 0.5), polygon, closed=True) |
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187 | assert is_inside_polygon( (0.5, 1), polygon, closed=True) |
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188 | assert is_inside_polygon( (0., 0.5), polygon, closed=True) |
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189 | assert is_inside_polygon( (0.5, 0.), polygon, closed=True) |
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190 | |
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191 | assert not is_inside_polygon( (0.5, 1), polygon, closed=False) |
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192 | assert not is_inside_polygon( (0., 0.5), polygon, closed=False) |
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193 | assert not is_inside_polygon( (0.5, 0.), polygon, closed=False) |
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194 | assert not is_inside_polygon( (1., 0.5), polygon, closed=False) |
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195 | |
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196 | |
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197 | def test_inside_polygon_main(self): |
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198 | |
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199 | # Simplest case: Polygon is the unit square |
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200 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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201 | |
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202 | # From real example (that failed) |
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203 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
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204 | points = [ [40, 50] ] |
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205 | res = inside_polygon(points, polygon) |
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206 | assert len(res) == 0 |
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207 | |
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208 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
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209 | points = [ [25, 25], [30, 20], [40, 50], [90, 20], [40, 90] ] |
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210 | res = inside_polygon(points, polygon) |
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211 | assert len(res) == 2 |
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212 | assert num.allclose(res, [0,1]) |
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213 | |
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214 | |
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215 | |
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216 | # More convoluted and non convex polygon |
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217 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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218 | assert is_inside_polygon( (0.5, 0.5), polygon ) |
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219 | assert is_inside_polygon( (1, -0.5), polygon ) |
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220 | assert is_inside_polygon( (1.5, 0), polygon ) |
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221 | |
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222 | assert not is_inside_polygon( (0.5, 1.5), polygon ) |
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223 | assert not is_inside_polygon( (0.5, -0.5), polygon ) |
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224 | |
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225 | |
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226 | # Very convoluted polygon |
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227 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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228 | assert is_inside_polygon( (5, 5), polygon ) |
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229 | assert is_inside_polygon( (17, 7), polygon ) |
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230 | assert is_inside_polygon( (27, 2), polygon ) |
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231 | assert is_inside_polygon( (35, -5), polygon ) |
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232 | assert not is_inside_polygon( (15, 7), polygon ) |
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233 | assert not is_inside_polygon( (24, 3), polygon ) |
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234 | assert not is_inside_polygon( (25, -10), polygon ) |
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235 | |
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236 | |
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237 | |
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238 | # Another combination (that failed) |
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239 | polygon = [[0,0], [10,0], [10,10], [0,10]] |
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240 | assert is_inside_polygon( (5, 5), polygon ) |
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241 | assert is_inside_polygon( (7, 7), polygon ) |
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242 | assert not is_inside_polygon( (-17, 7), polygon ) |
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243 | assert not is_inside_polygon( (7, 17), polygon ) |
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244 | assert not is_inside_polygon( (17, 7), polygon ) |
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245 | assert not is_inside_polygon( (27, 8), polygon ) |
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246 | assert not is_inside_polygon( (35, -5), polygon ) |
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247 | |
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248 | |
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249 | |
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250 | |
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251 | # Multiple polygons |
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252 | |
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253 | polygon = [[0,0], [1,0], [1,1], [0,1], [0,0], |
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254 | [10,10], [11,10], [11,11], [10,11], [10,10]] |
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255 | assert is_inside_polygon( (0.5, 0.5), polygon ) |
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256 | assert is_inside_polygon( (10.5, 10.5), polygon ) |
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257 | |
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258 | #FIXME: Fails if point is 5.5, 5.5 |
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259 | assert not is_inside_polygon( (0, 5.5), polygon ) |
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260 | |
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261 | # Polygon with a hole |
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262 | polygon = [[-1,-1], [2,-1], [2,2], [-1,2], [-1,-1], |
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263 | [0,0], [1,0], [1,1], [0,1], [0,0]] |
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264 | |
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265 | assert is_inside_polygon( (0, -0.5), polygon ) |
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266 | assert not is_inside_polygon( (0.5, 0.5), polygon ) |
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267 | |
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268 | |
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269 | |
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270 | def test_duplicate_points_being_ok(self): |
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271 | |
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272 | |
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273 | # Simplest case: Polygon is the unit square |
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274 | polygon = [[0,0], [1,0], [1,0], [1,0], [1,1], [0,1], [0,0]] |
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275 | |
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276 | assert is_inside_polygon( (0.5, 0.5), polygon ) |
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277 | assert not is_inside_polygon( (0.5, 1.5), polygon ) |
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278 | assert not is_inside_polygon( (0.5, -0.5), polygon ) |
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279 | assert not is_inside_polygon( (-0.5, 0.5), polygon ) |
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280 | assert not is_inside_polygon( (1.5, 0.5), polygon ) |
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281 | |
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282 | # Try point on borders |
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283 | assert is_inside_polygon( (1., 0.5), polygon, closed=True) |
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284 | assert is_inside_polygon( (0.5, 1), polygon, closed=True) |
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285 | assert is_inside_polygon( (0., 0.5), polygon, closed=True) |
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286 | assert is_inside_polygon( (0.5, 0.), polygon, closed=True) |
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287 | |
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288 | assert not is_inside_polygon( (0.5, 1), polygon, closed=False) |
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289 | assert not is_inside_polygon( (0., 0.5), polygon, closed=False) |
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290 | assert not is_inside_polygon( (0.5, 0.), polygon, closed=False) |
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291 | assert not is_inside_polygon( (1., 0.5), polygon, closed=False) |
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292 | |
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293 | # From real example |
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294 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
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295 | points = [ [40, 50] ] |
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296 | res = inside_polygon(points, polygon) |
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297 | assert len(res) == 0 |
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298 | |
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299 | |
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300 | |
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301 | def test_inside_polygon_vector_version(self): |
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302 | # Now try the 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 = inside_polygon( points, polygon, verbose=False ) |
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306 | |
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307 | assert num.allclose( res, [0,1,2] ) |
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308 | |
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309 | def test_outside_polygon(self): |
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310 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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311 | |
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312 | assert not is_outside_polygon( [0.5, 0.5], U ) |
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313 | # evaluate to False as the point 0.5, 0.5 is inside the unit square |
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314 | |
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315 | assert is_outside_polygon( [1.5, 0.5], U ) |
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316 | # evaluate to True as the point 1.5, 0.5 is outside the unit square |
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317 | |
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318 | indices = outside_polygon( [[0.5, 0.5], [1, -0.5], [0.3, 0.2]], U ) |
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319 | assert num.allclose( indices, [1] ) |
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320 | |
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321 | # One more test of vector formulation returning indices |
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322 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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323 | points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]] |
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324 | res = outside_polygon( points, polygon ) |
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325 | |
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326 | assert num.allclose( res, [3, 4] ) |
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327 | |
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328 | |
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329 | |
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330 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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331 | 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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332 | res = outside_polygon( points, polygon ) |
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333 | |
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334 | assert num.allclose( res, [0, 4, 5] ) |
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335 | |
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336 | def test_outside_polygon2(self): |
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337 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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338 | |
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339 | assert not outside_polygon( [0.5, 1.0], U, closed = True ) |
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340 | # evaluate to False as the point 0.5, 1.0 is inside the unit square |
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341 | |
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342 | assert is_outside_polygon( [0.5, 1.0], U, closed = False ) |
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343 | # evaluate to True as the point 0.5, 1.0 is outside the unit square |
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344 | |
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345 | def test_all_outside_polygon(self): |
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346 | """Test case where all points are outside poly |
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347 | """ |
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348 | |
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349 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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350 | |
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351 | points = [[2,2], [1,3], [-1,1], [0,2]] #All outside |
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352 | |
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353 | |
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354 | indices, count = separate_points_by_polygon(points, U) |
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355 | #print indices, count |
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356 | assert count == 0 #None inside |
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357 | assert num.allclose(indices, [3,2,1,0]) |
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358 | |
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359 | indices = outside_polygon(points, U, closed = True) |
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360 | assert num.allclose(indices, [0,1,2,3]) |
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361 | |
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362 | indices = inside_polygon(points, U, closed = True) |
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363 | assert num.allclose(indices, []) |
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364 | |
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365 | |
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366 | def test_all_inside_polygon(self): |
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367 | """Test case where all points are inside poly |
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368 | """ |
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369 | |
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370 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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371 | |
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372 | points = [[0.5,0.5], [0.2,0.3], [0,0.5]] #All inside (or on edge) |
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373 | |
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374 | |
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375 | indices, count = separate_points_by_polygon(points, U) |
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376 | assert count == 3 #All inside |
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377 | assert num.allclose(indices, [0,1,2]) |
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378 | |
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379 | indices = outside_polygon(points, U, closed = True) |
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380 | assert num.allclose(indices, []) |
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381 | |
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382 | indices = inside_polygon(points, U, closed = True) |
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383 | assert num.allclose(indices, [0,1,2]) |
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384 | |
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385 | |
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386 | def test_separate_points_by_polygon(self): |
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387 | U = [[0,0], [1,0], [1,1], [0,1]] #Unit square |
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388 | |
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389 | indices, count = separate_points_by_polygon( [[0.5, 0.5], [1, -0.5], [0.3, 0.2]], U ) |
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390 | assert num.allclose( indices, [0,2,1] ) |
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391 | assert count == 2 |
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392 | |
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393 | #One more test of vector formulation returning indices |
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394 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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395 | points = [ [0.5, 0.5], [1, -0.5], [1.5, 0], [0.5, 1.5], [0.5, -0.5]] |
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396 | res, count = separate_points_by_polygon( points, polygon ) |
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397 | |
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398 | assert num.allclose( res, [0,1,2,4,3] ) |
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399 | assert count == 3 |
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400 | |
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401 | |
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402 | polygon = [[0,0], [1,0], [0.5,-1], [2, -1], [2,1], [0,1]] |
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403 | 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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404 | res, count = separate_points_by_polygon( points, polygon ) |
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405 | |
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406 | assert num.allclose( res, [1,2,3,5,4,0] ) |
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407 | assert count == 3 |
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408 | |
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409 | |
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410 | def test_populate_polygon(self): |
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411 | |
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412 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
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413 | points = populate_polygon(polygon, 5) |
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414 | |
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415 | assert len(points) == 5 |
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416 | for point in points: |
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417 | assert is_inside_polygon(point, polygon) |
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418 | |
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419 | |
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420 | #Very convoluted polygon |
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421 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
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422 | |
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423 | points = populate_polygon(polygon, 5) |
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424 | |
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425 | assert len(points) == 5 |
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426 | for point in points: |
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427 | assert is_inside_polygon(point, polygon) |
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428 | |
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429 | |
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430 | def test_populate_polygon_with_exclude(self): |
---|
431 | |
---|
432 | |
---|
433 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
434 | ex_poly = [[0,0], [0.5,0], [0.5, 0.5], [0,0.5]] #SW quarter |
---|
435 | points = populate_polygon(polygon, 5, exclude = [ex_poly]) |
---|
436 | |
---|
437 | assert len(points) == 5 |
---|
438 | for point in points: |
---|
439 | assert is_inside_polygon(point, polygon) |
---|
440 | assert not is_inside_polygon(point, ex_poly) |
---|
441 | |
---|
442 | |
---|
443 | #overlap |
---|
444 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
445 | ex_poly = [[-1,-1], [0.5,0], [0.5, 0.5], [-1,0.5]] |
---|
446 | points = populate_polygon(polygon, 5, exclude = [ex_poly]) |
---|
447 | |
---|
448 | assert len(points) == 5 |
---|
449 | for point in points: |
---|
450 | assert is_inside_polygon(point, polygon) |
---|
451 | assert not is_inside_polygon(point, ex_poly) |
---|
452 | |
---|
453 | #Multiple |
---|
454 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
455 | ex_poly1 = [[0,0], [0.5,0], [0.5, 0.5], [0,0.5]] #SW quarter |
---|
456 | ex_poly2 = [[0.5,0.5], [0.5,1], [1, 1], [1,0.5]] #NE quarter |
---|
457 | |
---|
458 | points = populate_polygon(polygon, 20, exclude = [ex_poly1, ex_poly2]) |
---|
459 | |
---|
460 | assert len(points) == 20 |
---|
461 | for point in points: |
---|
462 | assert is_inside_polygon(point, polygon) |
---|
463 | assert not is_inside_polygon(point, ex_poly1) |
---|
464 | assert not is_inside_polygon(point, ex_poly2) |
---|
465 | |
---|
466 | |
---|
467 | #Very convoluted polygon |
---|
468 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
---|
469 | ex_poly = [[-1,-1], [5,0], [5, 5], [-1,5]] |
---|
470 | points = populate_polygon(polygon, 20, exclude = [ex_poly]) |
---|
471 | |
---|
472 | assert len(points) == 20 |
---|
473 | for point in points: |
---|
474 | assert is_inside_polygon(point, polygon) |
---|
475 | assert not is_inside_polygon(point, ex_poly), '%s' %str(point) |
---|
476 | |
---|
477 | |
---|
478 | def test_populate_polygon_with_exclude2(self): |
---|
479 | |
---|
480 | |
---|
481 | min_outer = 0 |
---|
482 | max_outer = 1000 |
---|
483 | polygon_outer = [[min_outer,min_outer],[max_outer,min_outer], |
---|
484 | [max_outer,max_outer],[min_outer,max_outer]] |
---|
485 | |
---|
486 | delta = 10 |
---|
487 | min_inner1 = min_outer + delta |
---|
488 | max_inner1 = max_outer - delta |
---|
489 | inner1_polygon = [[min_inner1,min_inner1],[max_inner1,min_inner1], |
---|
490 | [max_inner1,max_inner1],[min_inner1,max_inner1]] |
---|
491 | |
---|
492 | |
---|
493 | density_inner2 = 1000 |
---|
494 | min_inner2 = min_outer + 2*delta |
---|
495 | max_inner2 = max_outer - 2*delta |
---|
496 | inner2_polygon = [[min_inner2,min_inner2],[max_inner2,min_inner2], |
---|
497 | [max_inner2,max_inner2],[min_inner2,max_inner2]] |
---|
498 | |
---|
499 | points = populate_polygon(polygon_outer, 20, exclude = [inner1_polygon, inner2_polygon]) |
---|
500 | |
---|
501 | assert len(points) == 20 |
---|
502 | for point in points: |
---|
503 | assert is_inside_polygon(point, polygon_outer) |
---|
504 | assert not is_inside_polygon(point, inner1_polygon) |
---|
505 | assert not is_inside_polygon(point, inner2_polygon) |
---|
506 | |
---|
507 | |
---|
508 | #Very convoluted polygon |
---|
509 | polygon = [[0,0], [10,10], [15,5], [20, 10], [25,0], [30,10], [40,-10]] |
---|
510 | ex_poly = [[-1,-1], [5,0], [5, 5], [-1,5]] |
---|
511 | points = populate_polygon(polygon, 20, exclude = [ex_poly]) |
---|
512 | |
---|
513 | assert len(points) == 20 |
---|
514 | for point in points: |
---|
515 | assert is_inside_polygon(point, polygon) |
---|
516 | assert not is_inside_polygon(point, ex_poly), '%s' %str(point) |
---|
517 | |
---|
518 | def test_point_in_polygon(self): |
---|
519 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
520 | point = point_in_polygon(polygon) |
---|
521 | assert is_inside_polygon(point, polygon) |
---|
522 | |
---|
523 | #this may get into a vicious loop |
---|
524 | #polygon = [[1e32,1e54], [1,0], [1,1], [0,1]] |
---|
525 | |
---|
526 | polygon = [[1e15,1e7], [1,0], [1,1], [0,1]] |
---|
527 | point = point_in_polygon(polygon) |
---|
528 | assert is_inside_polygon(point, polygon) |
---|
529 | |
---|
530 | |
---|
531 | polygon = [[0,0], [1,0], [1,1], [1e8,1e8]] |
---|
532 | point = point_in_polygon(polygon) |
---|
533 | assert is_inside_polygon(point, polygon) |
---|
534 | |
---|
535 | |
---|
536 | polygon = [[1e32,1e54], [-1e32,1e54], [1e32,-1e54]] |
---|
537 | point = point_in_polygon(polygon) |
---|
538 | assert is_inside_polygon(point, polygon) |
---|
539 | |
---|
540 | |
---|
541 | polygon = [[1e18,1e15], [1,0], [0,1]] |
---|
542 | point = point_in_polygon(polygon) |
---|
543 | assert is_inside_polygon(point, polygon) |
---|
544 | |
---|
545 | def test_in_and_outside_polygon_main(self): |
---|
546 | |
---|
547 | |
---|
548 | #Simplest case: Polygon is the unit square |
---|
549 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
550 | |
---|
551 | inside, outside = in_and_outside_polygon( (0.5, 0.5), polygon ) |
---|
552 | assert inside[0] == 0 |
---|
553 | assert len(outside) == 0 |
---|
554 | |
---|
555 | inside, outside = in_and_outside_polygon( (1., 0.5), polygon, closed=True) |
---|
556 | assert inside[0] == 0 |
---|
557 | assert len(outside) == 0 |
---|
558 | |
---|
559 | inside, outside = in_and_outside_polygon( (1., 0.5), polygon, closed=False) |
---|
560 | assert len(inside) == 0 |
---|
561 | assert outside[0] == 0 |
---|
562 | |
---|
563 | points = [(1., 0.25),(1., 0.75) ] |
---|
564 | inside, outside = in_and_outside_polygon( points, polygon, closed=True) |
---|
565 | assert (inside, [0,1]) |
---|
566 | assert len(outside) == 0 |
---|
567 | |
---|
568 | inside, outside = in_and_outside_polygon( points, polygon, closed=False) |
---|
569 | assert len(inside) == 0 |
---|
570 | assert (outside, [0,1]) |
---|
571 | |
---|
572 | |
---|
573 | points = [(100., 0.25),(0.5, 0.5) ] |
---|
574 | inside, outside = in_and_outside_polygon( points, polygon) |
---|
575 | assert (inside, [1]) |
---|
576 | assert outside[0] == 0 |
---|
577 | |
---|
578 | points = [(100., 0.25),(0.5, 0.5), (39,20), (0.6,0.7),(56,43),(67,90) ] |
---|
579 | inside, outside = in_and_outside_polygon( points, polygon) |
---|
580 | assert (inside, [1,3]) |
---|
581 | assert (outside, [0,2,4,5]) |
---|
582 | |
---|
583 | |
---|
584 | def test_intersection1(self): |
---|
585 | line0 = [[-1,0], [1,0]] |
---|
586 | line1 = [[0,-1], [0,1]] |
---|
587 | |
---|
588 | status, value = intersection(line0, line1) |
---|
589 | assert status == 1 |
---|
590 | assert num.allclose(value, [0.0, 0.0]) |
---|
591 | |
---|
592 | def test_intersection2(self): |
---|
593 | line0 = [[0,0], [24,12]] |
---|
594 | line1 = [[0,12], [24,0]] |
---|
595 | |
---|
596 | status, value = intersection(line0, line1) |
---|
597 | assert status == 1 |
---|
598 | assert num.allclose(value, [12.0, 6.0]) |
---|
599 | |
---|
600 | # Swap direction of one line |
---|
601 | line1 = [[24,0], [0,12]] |
---|
602 | |
---|
603 | status, value = intersection(line0, line1) |
---|
604 | assert status == 1 |
---|
605 | assert num.allclose(value, [12.0, 6.0]) |
---|
606 | |
---|
607 | # Swap order of lines |
---|
608 | status, value = intersection(line1, line0) |
---|
609 | assert status == 1 |
---|
610 | assert num.allclose(value, [12.0, 6.0]) |
---|
611 | |
---|
612 | def test_intersection3(self): |
---|
613 | line0 = [[0,0], [24,12]] |
---|
614 | line1 = [[0,17], [24,0]] |
---|
615 | |
---|
616 | status, value = intersection(line0, line1) |
---|
617 | assert status == 1 |
---|
618 | assert num.allclose(value, [14.068965517, 7.0344827586]) |
---|
619 | |
---|
620 | # Swap direction of one line |
---|
621 | line1 = [[24,0], [0,17]] |
---|
622 | |
---|
623 | status, value = intersection(line0, line1) |
---|
624 | assert status == 1 |
---|
625 | assert num.allclose(value, [14.068965517, 7.0344827586]) |
---|
626 | |
---|
627 | # Swap order of lines |
---|
628 | status, value = intersection(line1, line0) |
---|
629 | assert status == 1 |
---|
630 | assert num.allclose(value, [14.068965517, 7.0344827586]) |
---|
631 | |
---|
632 | |
---|
633 | def test_intersection_endpoints(self): |
---|
634 | """test_intersection_endpoints(self): |
---|
635 | |
---|
636 | Test that coinciding endpoints are picked up |
---|
637 | """ |
---|
638 | line0 = [[0,0], [1,1]] |
---|
639 | line1 = [[1,1], [2,1]] |
---|
640 | |
---|
641 | status, value = intersection(line0, line1) |
---|
642 | assert status == 1 |
---|
643 | assert num.allclose(value, [1.0, 1.0]) |
---|
644 | |
---|
645 | |
---|
646 | line0 = [[1,1], [2,0]] |
---|
647 | line1 = [[1,1], [2,1]] |
---|
648 | |
---|
649 | status, value = intersection(line0, line1) |
---|
650 | assert status == 1 |
---|
651 | assert num.allclose(value, [1.0, 1.0]) |
---|
652 | |
---|
653 | |
---|
654 | # This function is a helper function for |
---|
655 | # the test_intersection_bug_20081110_?() set of tests. |
---|
656 | # This function tests all parallel line cases for 4 collinear points. |
---|
657 | # This function should never be run directly by the unittest code. |
---|
658 | def helper_test_parallel_intersection_code(self, P1, P2, P3, P4): |
---|
659 | # lines in same direction, no overlap |
---|
660 | # 0: ---->---- |
---|
661 | # 1: --------->----------- |
---|
662 | line0 = [P1,P2] |
---|
663 | line1 = [P3,P4] |
---|
664 | status, value = intersection(line0, line1) |
---|
665 | self.failIf(status!=3, 'Expected status 3, got status=%s, value=%s' % |
---|
666 | (str(status), str(value))) |
---|
667 | self.failUnless(value is None, 'Expected value of None, got %s' % |
---|
668 | str(value)) |
---|
669 | |
---|
670 | # lines in same direction, no overlap |
---|
671 | # 0: ----<---- |
---|
672 | # 1: ---------<----------- |
---|
673 | line0 = [P2,P1] |
---|
674 | line1 = [P4,P3] |
---|
675 | status, value = intersection(line0, line1) |
---|
676 | self.failIf(status!=3, 'Expected status 3, got status=%s, value=%s' % |
---|
677 | (str(status), str(value))) |
---|
678 | self.failUnless(value is None, 'Expected value of None, got %s' % |
---|
679 | str(value)) |
---|
680 | |
---|
681 | # lines in opposite direction, no overlap |
---|
682 | # 0: ----<---- |
---|
683 | # 1: --------->----------- |
---|
684 | line0 = [P2,P1] |
---|
685 | line1 = [P3,P4] |
---|
686 | status, value = intersection(line0, line1) |
---|
687 | self.failIf(status!=3, 'Expected status 3, got status=%s, value=%s' % |
---|
688 | (str(status), str(value))) |
---|
689 | self.failUnless(value is None, 'Expected value of None, got %s' % |
---|
690 | str(value)) |
---|
691 | |
---|
692 | # lines in opposite direction, no overlap |
---|
693 | # 0: ---->---- |
---|
694 | # 1: ---------<----------- |
---|
695 | line0 = [P1,P2] |
---|
696 | line1 = [P4,P3] |
---|
697 | status, value = intersection(line0, line1) |
---|
698 | self.failIf(status!=3, 'Expected status 3, got status=%s, value=%s' % |
---|
699 | (str(status), str(value))) |
---|
700 | self.failUnless(value is None, 'Expected value of None, got %s' % |
---|
701 | str(value)) |
---|
702 | |
---|
703 | #---------------------------------------------------------------------- |
---|
704 | |
---|
705 | # line0 fully within line1, same direction |
---|
706 | # 0: ---->---- |
---|
707 | # 1: --------->----------- |
---|
708 | # value should be line0: |
---|
709 | # ---->---- |
---|
710 | line0 = [P2,P3] |
---|
711 | line1 = [P1,P4] |
---|
712 | status, value = intersection(line0, line1) |
---|
713 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
714 | (str(status), str(value))) |
---|
715 | self.failUnless(num.allclose(value, line0)) |
---|
716 | |
---|
717 | # line0 fully within line1, same direction |
---|
718 | # 0: ----<---- |
---|
719 | # 1: ---------<----------- |
---|
720 | # value should be line0: |
---|
721 | # ----<---- |
---|
722 | line0 = [P3,P2] |
---|
723 | line1 = [P4,P1] |
---|
724 | status, value = intersection(line0, line1) |
---|
725 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
726 | (str(status), str(value))) |
---|
727 | self.failUnless(num.allclose(value, line0)) |
---|
728 | |
---|
729 | # line0 fully within line1, opposite direction |
---|
730 | # 0: ----<---- |
---|
731 | # 1: --------->----------- |
---|
732 | # value should be line0: |
---|
733 | # ----<---- |
---|
734 | line0 = [P3,P2] |
---|
735 | line1 = [P1,P4] |
---|
736 | status, value = intersection(line0, line1) |
---|
737 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
738 | (str(status), str(value))) |
---|
739 | self.failUnless(num.allclose(value, line0)) |
---|
740 | |
---|
741 | # line0 fully within line1, opposite direction |
---|
742 | # 0: ---->---- |
---|
743 | # 1: ---------<----------- |
---|
744 | # value should be line0: |
---|
745 | # ---->---- |
---|
746 | line0 = [P2,P3] |
---|
747 | line1 = [P4,P1] |
---|
748 | status, value = intersection(line0, line1) |
---|
749 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
750 | (str(status), str(value))) |
---|
751 | self.failUnless(num.allclose(value, line0)) |
---|
752 | |
---|
753 | #---------------------------------------------------------------------- |
---|
754 | |
---|
755 | # line1 fully within line0, same direction |
---|
756 | # 0: --------->----------- |
---|
757 | # 1: ---->---- |
---|
758 | # value should be line1: |
---|
759 | # ---->---- |
---|
760 | line0 = [P1,P4] |
---|
761 | line1 = [P2,P3] |
---|
762 | status, value = intersection(line0, line1) |
---|
763 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
764 | (str(status), str(value))) |
---|
765 | self.failUnless(num.allclose(value, line1)) |
---|
766 | |
---|
767 | # line1 fully within line0, same direction |
---|
768 | # 0: ---------<----------- |
---|
769 | # 1: ----<---- |
---|
770 | # value should be line1: |
---|
771 | # ----<---- |
---|
772 | line0 = [P4,P1] |
---|
773 | line1 = [P3,P2] |
---|
774 | status, value = intersection(line0, line1) |
---|
775 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
776 | (str(status), str(value))) |
---|
777 | self.failUnless(num.allclose(value, line1)) |
---|
778 | |
---|
779 | # line1 fully within line0, opposite direction |
---|
780 | # 0: ---------<----------- |
---|
781 | # 1: ---->---- |
---|
782 | # value should be line1: |
---|
783 | # ---->---- |
---|
784 | line0 = [P4,P1] |
---|
785 | line1 = [P2,P3] |
---|
786 | status, value = intersection(line0, line1) |
---|
787 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
788 | (str(status), str(value))) |
---|
789 | self.failUnless(num.allclose(value, line1)) |
---|
790 | |
---|
791 | # line1 fully within line0, opposite direction |
---|
792 | # 0: --------->----------- |
---|
793 | # 1: ----<---- |
---|
794 | # value should be line1: |
---|
795 | # ----<---- |
---|
796 | line0 = [P1,P4] |
---|
797 | line1 = [P3,P2] |
---|
798 | status, value = intersection(line0, line1) |
---|
799 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
800 | (str(status), str(value))) |
---|
801 | self.failUnless(num.allclose(value, line1)) |
---|
802 | |
---|
803 | #---------------------------------------------------------------------- |
---|
804 | |
---|
805 | # line in same direction, partial overlap |
---|
806 | # 0: ----->----- |
---|
807 | # 1: ------->-------- |
---|
808 | # value should be segment line1_start->line0_end: |
---|
809 | # --->---- |
---|
810 | line0 = [P1,P3] |
---|
811 | line1 = [P2,P4] |
---|
812 | status, value = intersection(line0, line1) |
---|
813 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
814 | (str(status), str(value))) |
---|
815 | self.failUnless(num.allclose(value, [line1[0],line0[1]])) |
---|
816 | |
---|
817 | # line in same direction, partial overlap |
---|
818 | # 0: -----<----- |
---|
819 | # 1: -------<-------- |
---|
820 | # value should be segment line0_start->line1_end: |
---|
821 | # ---<---- |
---|
822 | line0 = [P3,P1] |
---|
823 | line1 = [P4,P2] |
---|
824 | status, value = intersection(line0, line1) |
---|
825 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
826 | (str(status), str(value))) |
---|
827 | self.failUnless(num.allclose(value, [line0[0],line1[1]])) |
---|
828 | |
---|
829 | # line in opposite direction, partial overlap |
---|
830 | # 0: -----<----- |
---|
831 | # 1: ------->-------- |
---|
832 | # value should be segment line0_start->line1_start: |
---|
833 | # ---<---- |
---|
834 | line0 = [P3,P1] |
---|
835 | line1 = [P2,P4] |
---|
836 | status, value = intersection(line0, line1) |
---|
837 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
838 | (str(status), str(value))) |
---|
839 | self.failUnless(num.allclose(value, [line0[0],line1[0]])) |
---|
840 | |
---|
841 | # line in opposite direction, partial overlap |
---|
842 | # 0: ----->----- |
---|
843 | # 1: -------<-------- |
---|
844 | # value should be segment line1_end->line0_end: |
---|
845 | # --->---- |
---|
846 | line0 = [P1,P3] |
---|
847 | line1 = [P4,P2] |
---|
848 | status, value = intersection(line0, line1) |
---|
849 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
850 | (str(status), str(value))) |
---|
851 | self.failUnless(num.allclose(value, [line1[1],line0[1]])) |
---|
852 | |
---|
853 | #---------------------------------------------------------------------- |
---|
854 | |
---|
855 | # line in same direction, partial overlap |
---|
856 | # 0: ------>------ |
---|
857 | # 1: ------>------ |
---|
858 | # value should be segment line0_start->line1_end: |
---|
859 | # --->---- |
---|
860 | line0 = [P2,P4] |
---|
861 | line1 = [P1,P3] |
---|
862 | status, value = intersection(line0, line1) |
---|
863 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
864 | (str(status), str(value))) |
---|
865 | self.failUnless(num.allclose(value, [line0[0],line1[1]])) |
---|
866 | |
---|
867 | # line in same direction, partial overlap |
---|
868 | # 0: ------<------ |
---|
869 | # 1: ------<------ |
---|
870 | # value should be segment line1_start->line0_end: |
---|
871 | # ----<----- |
---|
872 | line0 = [P4,P2] |
---|
873 | line1 = [P3,P1] |
---|
874 | status, value = intersection(line0, line1) |
---|
875 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
876 | (str(status), str(value))) |
---|
877 | self.failUnless(num.allclose(value, [line1[0],line0[1]])) |
---|
878 | |
---|
879 | # line in opposite direction, partial overlap |
---|
880 | # 0: ------<------ |
---|
881 | # 1: ----->------ |
---|
882 | # value should be segment line1_end->line0_end: |
---|
883 | # --->---- |
---|
884 | line0 = [P4,P2] |
---|
885 | line1 = [P1,P3] |
---|
886 | status, value = intersection(line0, line1) |
---|
887 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
888 | (str(status), str(value))) |
---|
889 | self.failUnless(num.allclose(value, [line1[1],line0[1]])) |
---|
890 | |
---|
891 | # line in opposite direction, partial overlap |
---|
892 | # 0: ------>------ |
---|
893 | # 1: -----<------ |
---|
894 | # value should be segment line0_start->line1_start: |
---|
895 | # ---<---- |
---|
896 | line0 = [P2,P4] |
---|
897 | line1 = [P3,P1] |
---|
898 | status, value = intersection(line0, line1) |
---|
899 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
900 | (str(status), str(value))) |
---|
901 | self.failUnless(num.allclose(value, [line0[0],line1[0]])) |
---|
902 | |
---|
903 | #---------------------------------------------------------------------- |
---|
904 | |
---|
905 | # line in same direction, same left point, line1 longer |
---|
906 | # 0: ----->------ |
---|
907 | # 1: ------->-------- |
---|
908 | # value should be line0: |
---|
909 | # ----->------ |
---|
910 | line0 = [P1,P3] |
---|
911 | line1 = [P1,P4] |
---|
912 | status, value = intersection(line0, line1) |
---|
913 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
914 | (str(status), str(value))) |
---|
915 | self.failUnless(num.allclose(value, line0)) |
---|
916 | |
---|
917 | # line in same direction, same left point, line1 longer |
---|
918 | # 0: -----<------ |
---|
919 | # 1: -------<-------- |
---|
920 | # value should be line0: |
---|
921 | # -----<------ |
---|
922 | line0 = [P3,P1] |
---|
923 | line1 = [P4,P1] |
---|
924 | status, value = intersection(line0, line1) |
---|
925 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
926 | (str(status), str(value))) |
---|
927 | self.failUnless(num.allclose(value, line0)) |
---|
928 | |
---|
929 | # line in opposite direction, same left point, line1 longer |
---|
930 | # 0: ----->------ |
---|
931 | # 1: -------<-------- |
---|
932 | # value should be line0: |
---|
933 | # ----->------ |
---|
934 | line0 = [P1,P3] |
---|
935 | line1 = [P4,P1] |
---|
936 | status, value = intersection(line0, line1) |
---|
937 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
938 | (str(status), str(value))) |
---|
939 | self.failUnless(num.allclose(value, line0)) |
---|
940 | |
---|
941 | # line in opposite direction, same start point, line1 longer |
---|
942 | # 0: -----<------ |
---|
943 | # 1: ------->-------- |
---|
944 | # value should be line0: |
---|
945 | # -----<------ |
---|
946 | line0 = [P3,P1] |
---|
947 | line1 = [P1,P4] |
---|
948 | status, value = intersection(line0, line1) |
---|
949 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
950 | (str(status), str(value))) |
---|
951 | self.failUnless(num.allclose(value, line0)) |
---|
952 | |
---|
953 | #---------------------------------------------------------------------- |
---|
954 | |
---|
955 | # line in same direction, same left point, same right point |
---|
956 | # 0: ------->-------- |
---|
957 | # 1: ------->-------- |
---|
958 | # value should be line0 or line1: |
---|
959 | # ------->-------- |
---|
960 | line0 = [P1,P3] |
---|
961 | line1 = [P1,P3] |
---|
962 | status, value = intersection(line0, line1) |
---|
963 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
964 | (str(status), str(value))) |
---|
965 | self.failUnless(num.allclose(value, line0)) |
---|
966 | |
---|
967 | # line in same direction, same left point, same right point |
---|
968 | # 0: -------<-------- |
---|
969 | # 1: -------<-------- |
---|
970 | # value should be line0 (or line1): |
---|
971 | # -------<-------- |
---|
972 | line0 = [P3,P1] |
---|
973 | line1 = [P3,P1] |
---|
974 | status, value = intersection(line0, line1) |
---|
975 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
976 | (str(status), str(value))) |
---|
977 | self.failUnless(num.allclose(value, line0)) |
---|
978 | |
---|
979 | # line in opposite direction, same left point, same right point |
---|
980 | # 0: ------->-------- |
---|
981 | # 1: -------<-------- |
---|
982 | # value should be line0: |
---|
983 | # ------->-------- |
---|
984 | line0 = [P1,P3] |
---|
985 | line1 = [P3,P1] |
---|
986 | status, value = intersection(line0, line1) |
---|
987 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
988 | (str(status), str(value))) |
---|
989 | self.failUnless(num.allclose(value, line0)) |
---|
990 | |
---|
991 | # line in opposite direction, same left point, same right point |
---|
992 | # 0: -------<-------- |
---|
993 | # 1: ------->-------- |
---|
994 | # value should be line0: |
---|
995 | # -------<-------- |
---|
996 | line0 = [P3,P1] |
---|
997 | line1 = [P1,P3] |
---|
998 | status, value = intersection(line0, line1) |
---|
999 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1000 | (str(status), str(value))) |
---|
1001 | self.failUnless(num.allclose(value, line0)) |
---|
1002 | |
---|
1003 | #---------------------------------------------------------------------- |
---|
1004 | |
---|
1005 | # line in same direction, same right point, line1 longer |
---|
1006 | # 0: ----->------ |
---|
1007 | # 1: ------->-------- |
---|
1008 | # value should be line0: |
---|
1009 | # ----->------ |
---|
1010 | line0 = [P2,P4] |
---|
1011 | line1 = [P1,P4] |
---|
1012 | status, value = intersection(line0, line1) |
---|
1013 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1014 | (str(status), str(value))) |
---|
1015 | self.failUnless(num.allclose(value, line0)) |
---|
1016 | |
---|
1017 | # line in same direction, same right point, line1 longer |
---|
1018 | # 0: -----<------ |
---|
1019 | # 1: -------<-------- |
---|
1020 | # value should be line0: |
---|
1021 | # -----<------ |
---|
1022 | line0 = [P4,P2] |
---|
1023 | line1 = [P4,P1] |
---|
1024 | status, value = intersection(line0, line1) |
---|
1025 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1026 | (str(status), str(value))) |
---|
1027 | self.failUnless(num.allclose(value, line0)) |
---|
1028 | |
---|
1029 | # line in opposite direction, same right point, line1 longer |
---|
1030 | # 0: ----->------ |
---|
1031 | # 1: -------<-------- |
---|
1032 | # value should be line0: |
---|
1033 | # ----->------ |
---|
1034 | line0 = [P2,P4] |
---|
1035 | line1 = [P4,P1] |
---|
1036 | status, value = intersection(line0, line1) |
---|
1037 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1038 | (str(status), str(value))) |
---|
1039 | self.failUnless(num.allclose(value, line0)) |
---|
1040 | |
---|
1041 | # line in opposite direction, same right point, line1 longer |
---|
1042 | # 0: -----<------ |
---|
1043 | # 1: ------->-------- |
---|
1044 | # value should be line0: |
---|
1045 | # -----<------ |
---|
1046 | line0 = [P4,P2] |
---|
1047 | line1 = [P1,P4] |
---|
1048 | status, value = intersection(line0, line1) |
---|
1049 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1050 | (str(status), str(value))) |
---|
1051 | self.failUnless(num.allclose(value, line0)) |
---|
1052 | |
---|
1053 | #---------------------------------------------------------------------- |
---|
1054 | |
---|
1055 | # line in same direction, same left point, line0 longer |
---|
1056 | # 0: ------->-------- |
---|
1057 | # 1: ----->------ |
---|
1058 | # value should be line1: |
---|
1059 | # ----->------ |
---|
1060 | line0 = [P1,P4] |
---|
1061 | line1 = [P1,P3] |
---|
1062 | status, value = intersection(line0, line1) |
---|
1063 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1064 | (str(status), str(value))) |
---|
1065 | self.failUnless(num.allclose(value, line1)) |
---|
1066 | |
---|
1067 | # line in same direction, same left point, line0 longer |
---|
1068 | # 0: -------<-------- |
---|
1069 | # 1: -----<------ |
---|
1070 | # value should be line1: |
---|
1071 | # -----<------ |
---|
1072 | line0 = [P4,P1] |
---|
1073 | line1 = [P3,P1] |
---|
1074 | status, value = intersection(line0, line1) |
---|
1075 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1076 | (str(status), str(value))) |
---|
1077 | self.failUnless(num.allclose(value, line1)) |
---|
1078 | |
---|
1079 | # line in opposite direction, same left point, line0 longer |
---|
1080 | # 0: ------->-------- |
---|
1081 | # 1: -----<------ |
---|
1082 | # value should be line1: |
---|
1083 | # -----<------ |
---|
1084 | line0 = [P1,P4] |
---|
1085 | line1 = [P3,P1] |
---|
1086 | status, value = intersection(line0, line1) |
---|
1087 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1088 | (str(status), str(value))) |
---|
1089 | self.failUnless(num.allclose(value, line1)) |
---|
1090 | |
---|
1091 | # line in opposite direction, same left point, line0 longer |
---|
1092 | # 0: -------<-------- |
---|
1093 | # 1: ----->------ |
---|
1094 | # value should be line1: |
---|
1095 | # ----->------ |
---|
1096 | line0 = [P4,P1] |
---|
1097 | line1 = [P1,P3] |
---|
1098 | status, value = intersection(line0, line1) |
---|
1099 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1100 | (str(status), str(value))) |
---|
1101 | self.failUnless(num.allclose(value, line1)) |
---|
1102 | |
---|
1103 | #---------------------------------------------------------------------- |
---|
1104 | |
---|
1105 | # line in same direction, same right point, line0 longer |
---|
1106 | # 0: ------->-------- |
---|
1107 | # 1: ----->------ |
---|
1108 | # value should be line1: |
---|
1109 | # ----->------ |
---|
1110 | line0 = [P1,P4] |
---|
1111 | line1 = [P2,P4] |
---|
1112 | status, value = intersection(line0, line1) |
---|
1113 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1114 | (str(status), str(value))) |
---|
1115 | self.failUnless(num.allclose(value, line1)) |
---|
1116 | |
---|
1117 | # line in same direction, same right point, line0 longer |
---|
1118 | # 0: -------<-------- |
---|
1119 | # 1: -----<------ |
---|
1120 | # value should be line1: |
---|
1121 | # -----<------ |
---|
1122 | line0 = [P4,P1] |
---|
1123 | line1 = [P4,P2] |
---|
1124 | status, value = intersection(line0, line1) |
---|
1125 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1126 | (str(status), str(value))) |
---|
1127 | self.failUnless(num.allclose(value, line1)) |
---|
1128 | |
---|
1129 | # line in opposite direction, same right point, line0 longer |
---|
1130 | # 0: ------->-------- |
---|
1131 | # 1: -----<------ |
---|
1132 | # value should be line1: |
---|
1133 | # -----<------ |
---|
1134 | line0 = [P1,P4] |
---|
1135 | line1 = [P4,P2] |
---|
1136 | status, value = intersection(line0, line1) |
---|
1137 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1138 | (str(status), str(value))) |
---|
1139 | self.failUnless(num.allclose(value, line1)) |
---|
1140 | |
---|
1141 | # line in opposite direction, same right point, line0 longer |
---|
1142 | # 0: -------<-------- |
---|
1143 | # 1: ----->------ |
---|
1144 | # value should be line1: |
---|
1145 | # ----->------ |
---|
1146 | line0 = [P4,P1] |
---|
1147 | line1 = [P2,P4] |
---|
1148 | status, value = intersection(line0, line1) |
---|
1149 | self.failIf(status!=2, 'Expected status 2, got status=%s, value=%s' % |
---|
1150 | (str(status), str(value))) |
---|
1151 | self.failUnless(num.allclose(value, line1)) |
---|
1152 | |
---|
1153 | |
---|
1154 | def test_intersection_bug_20081110_TR(self): |
---|
1155 | """test_intersection_bug_20081110(self) |
---|
1156 | |
---|
1157 | Test all cases in top-right quadrant |
---|
1158 | """ |
---|
1159 | |
---|
1160 | # define 4 collinear points in top-right quadrant |
---|
1161 | # P1---P2---P3---P4 |
---|
1162 | P1 = [1.0, 1.0] |
---|
1163 | P2 = [2.0, 2.0] |
---|
1164 | P3 = [3.0, 3.0] |
---|
1165 | P4 = [4.0, 4.0] |
---|
1166 | |
---|
1167 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1168 | P1 = [1.0, 1.0+1.0e-9] |
---|
1169 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1170 | P1 = [1.0, 1.0] |
---|
1171 | P2 = [2.0, 2.0+1.0e-9] |
---|
1172 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1173 | P2 = [2.0, 2.0] |
---|
1174 | P3 = [3.0, 3.0+1.0e-9] |
---|
1175 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1176 | P3 = [3.0, 3.0] |
---|
1177 | P4 = [4.0, 4.0+1.0e-9] |
---|
1178 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1179 | |
---|
1180 | def test_intersection_bug_20081110_TL(self): |
---|
1181 | """test_intersection_bug_20081110(self) |
---|
1182 | |
---|
1183 | Test all cases in top-left quadrant |
---|
1184 | """ |
---|
1185 | |
---|
1186 | # define 4 collinear points in top-left quadrant |
---|
1187 | # P1---P2---P3---P4 |
---|
1188 | P1 = [-1.0, 1.0] |
---|
1189 | P2 = [-2.0, 2.0] |
---|
1190 | P3 = [-3.0, 3.0] |
---|
1191 | P4 = [-4.0, 4.0] |
---|
1192 | |
---|
1193 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1194 | P1 = [-1.0, 1.0+1.0e-9] |
---|
1195 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1196 | P1 = [-1.0, 1.0] |
---|
1197 | P2 = [-2.0, 2.0+1.0e-9] |
---|
1198 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1199 | P2 = [-2.0, 2.0] |
---|
1200 | P3 = [-3.0, 3.0+1.0e-9] |
---|
1201 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1202 | P3 = [-3.0, 3.0] |
---|
1203 | P4 = [-4.0, 4.0+1.0e-9] |
---|
1204 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1205 | |
---|
1206 | def test_intersection_bug_20081110_BL(self): |
---|
1207 | """test_intersection_bug_20081110(self) |
---|
1208 | |
---|
1209 | Test all cases in bottom-left quadrant |
---|
1210 | """ |
---|
1211 | |
---|
1212 | # define 4 collinear points in bottom-left quadrant |
---|
1213 | # P1---P2---P3---P4 |
---|
1214 | P1 = [-1.0, -1.0] |
---|
1215 | P2 = [-2.0, -2.0] |
---|
1216 | P3 = [-3.0, -3.0] |
---|
1217 | P4 = [-4.0, -4.0] |
---|
1218 | |
---|
1219 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1220 | P1 = [-1.0, -1.0+1.0e-9] |
---|
1221 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1222 | P1 = [-1.0, -1.0] |
---|
1223 | P2 = [-2.0, -2.0+1.0e-9] |
---|
1224 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1225 | P2 = [-2.0, -2.0] |
---|
1226 | P3 = [-3.0, -3.0+1.0e-9] |
---|
1227 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1228 | P3 = [-3.0, -3.0] |
---|
1229 | P4 = [-4.0, -4.0+1.0e-9] |
---|
1230 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1231 | |
---|
1232 | def test_intersection_bug_20081110_BR(self): |
---|
1233 | """test_intersection_bug_20081110(self) |
---|
1234 | |
---|
1235 | Test all cases in bottom-right quadrant |
---|
1236 | """ |
---|
1237 | |
---|
1238 | # define 4 collinear points in bottom-right quadrant |
---|
1239 | # P1---P2---P3---P4 |
---|
1240 | P1 = [1.0, -1.0] |
---|
1241 | P2 = [2.0, -2.0] |
---|
1242 | P3 = [3.0, -3.0] |
---|
1243 | P4 = [4.0, -4.0] |
---|
1244 | |
---|
1245 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1246 | P1 = [1.0, -1.0+1.0e-9] |
---|
1247 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1248 | P1 = [1.0, -1.0] |
---|
1249 | P2 = [2.0, -2.0+1.0e-9] |
---|
1250 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1251 | P2 = [2.0, -2.0] |
---|
1252 | P3 = [3.0, -3.0+1.0e-9] |
---|
1253 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1254 | P3 = [3.0, -3.0] |
---|
1255 | P4 = [4.0, -4.0+1.0e-9] |
---|
1256 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1257 | |
---|
1258 | def test_intersection_bug_20081110_TR_TL(self): |
---|
1259 | """test_intersection_bug_20081110(self) |
---|
1260 | |
---|
1261 | Test all cases in top-right & top-left quadrant |
---|
1262 | """ |
---|
1263 | |
---|
1264 | # define 4 collinear points, 1 in TL, 3 in TR |
---|
1265 | # P1---P2---P3---P4 |
---|
1266 | P1 = [-3.0, 1.0] |
---|
1267 | P2 = [ 1.0, 5.0] |
---|
1268 | P3 = [ 2.0, 6.0] |
---|
1269 | P4 = [ 3.0, 7.0] |
---|
1270 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1271 | |
---|
1272 | # define 4 collinear points, 2 in TL, 2 in TR |
---|
1273 | # P1---P2---P3---P4 |
---|
1274 | P1 = [-3.0, 1.0] |
---|
1275 | P2 = [-2.0, 2.0] |
---|
1276 | P3 = [ 2.0, 6.0] |
---|
1277 | P4 = [ 3.0, 7.0] |
---|
1278 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1279 | |
---|
1280 | # define 4 collinear points, 2 in TL, 1 in TR |
---|
1281 | # P1---P2---P3---P4 |
---|
1282 | P1 = [-3.0, 1.0] |
---|
1283 | P2 = [-2.0, 2.0] |
---|
1284 | P3 = [-1.0, 3.0] |
---|
1285 | P4 = [ 3.0, 7.0] |
---|
1286 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1287 | |
---|
1288 | def test_intersection_bug_20081110_TR_BL(self): |
---|
1289 | """test_intersection_bug_20081110(self) |
---|
1290 | |
---|
1291 | Test all cases in top-right & bottom-left quadrant |
---|
1292 | """ |
---|
1293 | |
---|
1294 | # define 4 collinear points, 1 in BL, 3 in TR |
---|
1295 | # P1---P2---P3---P4 |
---|
1296 | P1 = [-4.0, -3.0] |
---|
1297 | P2 = [ 1.0, 2.0] |
---|
1298 | P3 = [ 2.0, 3.0] |
---|
1299 | P4 = [ 3.0, 4.0] |
---|
1300 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1301 | |
---|
1302 | # define 4 collinear points, 2 in TL, 2 in TR |
---|
1303 | # P1---P2---P3---P4 |
---|
1304 | P1 = [-4.0, -3.0] |
---|
1305 | P2 = [-3.0, -2.0] |
---|
1306 | P3 = [ 2.0, 3.0] |
---|
1307 | P4 = [ 3.0, 4.0] |
---|
1308 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1309 | |
---|
1310 | # define 4 collinear points, 3 in TL, 1 in TR |
---|
1311 | # P1---P2---P3---P4 |
---|
1312 | P1 = [-4.0, -3.0] |
---|
1313 | P2 = [-3.0, -2.0] |
---|
1314 | P3 = [-2.0, -1.0] |
---|
1315 | P4 = [ 3.0, 4.0] |
---|
1316 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1317 | |
---|
1318 | def test_intersection_bug_20081110_TR_BR(self): |
---|
1319 | """test_intersection_bug_20081110(self) |
---|
1320 | |
---|
1321 | Test all cases in top-right & bottom-right quadrant |
---|
1322 | """ |
---|
1323 | |
---|
1324 | # define 4 collinear points, 1 in BR, 3 in TR |
---|
1325 | # P1---P2---P3---P4 |
---|
1326 | P1 = [ 1.0, -3.0] |
---|
1327 | P2 = [ 5.0, 1.0] |
---|
1328 | P3 = [ 6.0, 2.0] |
---|
1329 | P4 = [ 7.0, 3.0] |
---|
1330 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1331 | |
---|
1332 | # define 4 collinear points, 2 in BR, 2 in TR |
---|
1333 | # P1---P2---P3---P4 |
---|
1334 | P1 = [ 1.0, -3.0] |
---|
1335 | P2 = [ 2.0, -2.0] |
---|
1336 | P3 = [ 6.0, 2.0] |
---|
1337 | P4 = [ 7.0, 3.0] |
---|
1338 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1339 | |
---|
1340 | # define 4 collinear points, 3 in BR, 1 in TR |
---|
1341 | # P1---P2---P3---P4 |
---|
1342 | P1 = [ 1.0, -3.0] |
---|
1343 | P2 = [ 2.0, -2.0] |
---|
1344 | P3 = [ 3.0, -1.0] |
---|
1345 | P4 = [ 7.0, 3.0] |
---|
1346 | self.helper_test_parallel_intersection_code(P1, P2, P3, P4) |
---|
1347 | |
---|
1348 | |
---|
1349 | def test_intersection_direction_invariance(self): |
---|
1350 | """This runs through a number of examples and checks that direction of lines don't matter. |
---|
1351 | """ |
---|
1352 | |
---|
1353 | line0 = [[0,0], [100,100]] |
---|
1354 | |
---|
1355 | common_end_point = [20, 150] |
---|
1356 | |
---|
1357 | for i in range(100): |
---|
1358 | x = 20 + i * 1.0/100 |
---|
1359 | |
---|
1360 | line1 = [[x,0], common_end_point] |
---|
1361 | status, p1 = intersection(line0, line1) |
---|
1362 | assert status == 1 |
---|
1363 | |
---|
1364 | |
---|
1365 | # Swap direction of line1 |
---|
1366 | line1 = [common_end_point, [x,0]] |
---|
1367 | status, p2 = intersection(line0, line1) |
---|
1368 | assert status == 1 |
---|
1369 | |
---|
1370 | msg = 'Orientation of line shouldn not matter.\n' |
---|
1371 | msg += 'However, segment [%f,%f], [%f, %f]' %(x, |
---|
1372 | 0, |
---|
1373 | common_end_point[0], |
---|
1374 | common_end_point[1]) |
---|
1375 | msg += ' gave %s, \nbut when reversed we got %s' %(p1, p2) |
---|
1376 | assert num.allclose(p1, p2), msg |
---|
1377 | |
---|
1378 | # Swap order of lines |
---|
1379 | status, p3 = intersection(line1, line0) |
---|
1380 | assert status == 1 |
---|
1381 | msg = 'Order of lines gave different results' |
---|
1382 | assert num.allclose(p1, p3), msg |
---|
1383 | |
---|
1384 | |
---|
1385 | def test_no_intersection(self): |
---|
1386 | line0 = [[-1,1], [1,1]] |
---|
1387 | line1 = [[0,-1], [0,0]] |
---|
1388 | |
---|
1389 | status, value = intersection(line0, line1) |
---|
1390 | assert status == 0 |
---|
1391 | assert value is None |
---|
1392 | |
---|
1393 | |
---|
1394 | def test_intersection_parallel(self): |
---|
1395 | line0 = [[-1,1], [1,1]] |
---|
1396 | line1 = [[-1,0], [5,0]] |
---|
1397 | |
---|
1398 | status, value = intersection(line0, line1) |
---|
1399 | assert status == 4 |
---|
1400 | assert value is None |
---|
1401 | |
---|
1402 | |
---|
1403 | line0 = [[0,0], [10,100]] |
---|
1404 | line1 = [[-10,5], [0,105]] |
---|
1405 | |
---|
1406 | status, value = intersection(line0, line1) |
---|
1407 | assert status == 4 |
---|
1408 | assert value is None |
---|
1409 | |
---|
1410 | |
---|
1411 | def test_intersection_coincide(self): |
---|
1412 | """def test_intersection_coincide(self): |
---|
1413 | Test what happens whe two lines partly coincide |
---|
1414 | """ |
---|
1415 | |
---|
1416 | # Overlap 1 |
---|
1417 | line0 = [[0,0], [5,0]] |
---|
1418 | line1 = [[-3,0], [3,0]] |
---|
1419 | |
---|
1420 | status, value = intersection(line0, line1) |
---|
1421 | assert status == 2 |
---|
1422 | assert num.allclose(value, [[0,0], [3,0]]) |
---|
1423 | |
---|
1424 | # Overlap 2 |
---|
1425 | line0 = [[-10,0], [5,0]] |
---|
1426 | line1 = [[-3,0], [10,0]] |
---|
1427 | |
---|
1428 | status, value = intersection(line0, line1) |
---|
1429 | assert status == 2 |
---|
1430 | assert num.allclose(value, [[-3, 0], [5,0]]) |
---|
1431 | |
---|
1432 | # Inclusion 1 |
---|
1433 | line0 = [[0,0], [5,0]] |
---|
1434 | line1 = [[2,0], [3,0]] |
---|
1435 | |
---|
1436 | status, value = intersection(line0, line1) |
---|
1437 | assert status == 2 |
---|
1438 | assert num.allclose(value, line1) |
---|
1439 | |
---|
1440 | # Inclusion 2 |
---|
1441 | line0 = [[1,0], [5,0]] |
---|
1442 | line1 = [[-10,0], [15,0]] |
---|
1443 | |
---|
1444 | status, value = intersection(line0, line1) |
---|
1445 | assert status == 2 |
---|
1446 | assert num.allclose(value, line0) |
---|
1447 | |
---|
1448 | |
---|
1449 | # Exclusion (no intersection) |
---|
1450 | line0 = [[-10,0], [1,0]] |
---|
1451 | line1 = [[3,0], [15,0]] |
---|
1452 | |
---|
1453 | status, value = intersection(line0, line1) |
---|
1454 | assert status == 3 |
---|
1455 | assert value is None |
---|
1456 | |
---|
1457 | |
---|
1458 | # Try examples with some slope (y=2*x+5) |
---|
1459 | |
---|
1460 | # Overlap |
---|
1461 | line0 = [[0,5], [7,19]] |
---|
1462 | line1 = [[1,7], [10,25]] |
---|
1463 | status, value = intersection(line0, line1) |
---|
1464 | assert status == 2 |
---|
1465 | assert num.allclose(value, [[1, 7], [7, 19]]) |
---|
1466 | |
---|
1467 | status, value = intersection(line1, line0) |
---|
1468 | assert status == 2 |
---|
1469 | assert num.allclose(value, [[1, 7], [7, 19]]) |
---|
1470 | |
---|
1471 | # Swap direction |
---|
1472 | line0 = [[7,19], [0,5]] |
---|
1473 | line1 = [[1,7], [10,25]] |
---|
1474 | status, value = intersection(line0, line1) |
---|
1475 | assert status == 2 |
---|
1476 | assert num.allclose(value, [[7, 19], [1, 7]]) |
---|
1477 | |
---|
1478 | line0 = [[0,5], [7,19]] |
---|
1479 | line1 = [[10,25], [1,7]] |
---|
1480 | status, value = intersection(line0, line1) |
---|
1481 | assert status == 2 |
---|
1482 | assert num.allclose(value, [[1, 7], [7, 19]]) |
---|
1483 | |
---|
1484 | |
---|
1485 | # Inclusion |
---|
1486 | line0 = [[1,7], [7,19]] |
---|
1487 | line1 = [[0,5], [10,25]] |
---|
1488 | status, value = intersection(line0, line1) |
---|
1489 | assert status == 2 |
---|
1490 | assert num.allclose(value, [[1,7], [7, 19]]) |
---|
1491 | |
---|
1492 | line0 = [[0,5], [10,25]] |
---|
1493 | line1 = [[1,7], [7,19]] |
---|
1494 | status, value = intersection(line0, line1) |
---|
1495 | assert status == 2 |
---|
1496 | assert num.allclose(value, [[1,7], [7, 19]]) |
---|
1497 | |
---|
1498 | |
---|
1499 | line0 = [[0,5], [10,25]] |
---|
1500 | line1 = [[7,19], [1,7]] |
---|
1501 | status, value = intersection(line0, line1) |
---|
1502 | assert status == 2 |
---|
1503 | assert num.allclose(value, [[7, 19], [1, 7]]) |
---|
1504 | |
---|
1505 | |
---|
1506 | def zzztest_inside_polygon_main(self): \ |
---|
1507 | |
---|
1508 | #FIXME (Ole): Why is this disabled? |
---|
1509 | print "inside",inside |
---|
1510 | print "outside",outside |
---|
1511 | |
---|
1512 | assert not inside_polygon( (0.5, 1.5), polygon ) |
---|
1513 | assert not inside_polygon( (0.5, -0.5), polygon ) |
---|
1514 | assert not inside_polygon( (-0.5, 0.5), polygon ) |
---|
1515 | assert not inside_polygon( (1.5, 0.5), polygon ) |
---|
1516 | |
---|
1517 | #Try point on borders |
---|
1518 | assert inside_polygon( (1., 0.5), polygon, closed=True) |
---|
1519 | assert inside_polygon( (0.5, 1), polygon, closed=True) |
---|
1520 | assert inside_polygon( (0., 0.5), polygon, closed=True) |
---|
1521 | assert inside_polygon( (0.5, 0.), polygon, closed=True) |
---|
1522 | |
---|
1523 | assert not inside_polygon( (0.5, 1), polygon, closed=False) |
---|
1524 | assert not inside_polygon( (0., 0.5), polygon, closed=False) |
---|
1525 | assert not inside_polygon( (0.5, 0.), polygon, closed=False) |
---|
1526 | assert not inside_polygon( (1., 0.5), polygon, closed=False) |
---|
1527 | |
---|
1528 | |
---|
1529 | |
---|
1530 | #From real example (that failed) |
---|
1531 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
---|
1532 | points = [ [40, 50] ] |
---|
1533 | res = inside_polygon(points, polygon) |
---|
1534 | assert len(res) == 0 |
---|
1535 | |
---|
1536 | polygon = [[20,20], [40,20], [40,40], [20,40]] |
---|
1537 | points = [ [25, 25], [30, 20], [40, 50], [90, 20], [40, 90] ] |
---|
1538 | res = inside_polygon(points, polygon) |
---|
1539 | assert len(res) == 2 |
---|
1540 | assert num.allclose(res, [0,1]) |
---|
1541 | |
---|
1542 | def test_polygon_area(self): |
---|
1543 | |
---|
1544 | #Simplest case: Polygon is the unit square |
---|
1545 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
1546 | assert polygon_area(polygon) == 1 |
---|
1547 | |
---|
1548 | #Simple case: Polygon is a rectangle |
---|
1549 | polygon = [[0,0], [1,0], [1,4], [0,4]] |
---|
1550 | assert polygon_area(polygon) == 4 |
---|
1551 | |
---|
1552 | #Simple case: Polygon is a unit triangle |
---|
1553 | polygon = [[0,0], [1,0], [0,1]] |
---|
1554 | assert polygon_area(polygon) == 0.5 |
---|
1555 | |
---|
1556 | #Simple case: Polygon is a diamond |
---|
1557 | polygon = [[0,0], [1,1], [2,0], [1, -1]] |
---|
1558 | assert polygon_area(polygon) == 2.0 |
---|
1559 | |
---|
1560 | # Complex case where numerical errors might occur |
---|
1561 | polygon = [[314037.58727982, 6224952.2960092], |
---|
1562 | [314038.58727982, 6224952.2960092], |
---|
1563 | [314038.58727982, 6224953.2960092], |
---|
1564 | [314037.58727982, 6224953.2960092]] |
---|
1565 | assert polygon_area(polygon) == 1.0 |
---|
1566 | |
---|
1567 | |
---|
1568 | def test_poly_xy(self): |
---|
1569 | |
---|
1570 | #Simplest case: Polygon is the unit square |
---|
1571 | polygon = [[0,0], [1,0], [1,1], [0,1]] |
---|
1572 | x, y = poly_xy(polygon) |
---|
1573 | assert len(x) == len(polygon)+1 |
---|
1574 | assert len(y) == len(polygon)+1 |
---|
1575 | assert x[0] == 0 |
---|
1576 | assert x[1] == 1 |
---|
1577 | assert x[2] == 1 |
---|
1578 | assert x[3] == 0 |
---|
1579 | assert y[0] == 0 |
---|
1580 | assert y[1] == 0 |
---|
1581 | assert y[2] == 1 |
---|
1582 | assert y[3] == 1 |
---|
1583 | |
---|
1584 | #Arbitrary polygon |
---|
1585 | polygon = [[1,5], [1,1], [100,10], [1,10], [3,6]] |
---|
1586 | x, y = poly_xy(polygon) |
---|
1587 | assert len(x) == len(polygon)+1 |
---|
1588 | assert len(y) == len(polygon)+1 |
---|
1589 | assert x[0] == 1 |
---|
1590 | assert x[1] == 1 |
---|
1591 | assert x[2] == 100 |
---|
1592 | assert x[3] == 1 |
---|
1593 | assert x[4] == 3 |
---|
1594 | assert y[0] == 5 |
---|
1595 | assert y[1] == 1 |
---|
1596 | assert y[2] == 10 |
---|
1597 | assert y[3] == 10 |
---|
1598 | assert y[4] == 6 |
---|
1599 | |
---|
1600 | # Disabled |
---|
1601 | def xtest_plot_polygons(self): |
---|
1602 | |
---|
1603 | import os |
---|
1604 | |
---|
1605 | #Simplest case: Polygon is the unit square |
---|
1606 | polygon1 = [[0,0], [1,0], [1,1], [0,1]] |
---|
1607 | polygon2 = [[1,1], [2,1], [3,2], [2,2]] |
---|
1608 | v = plot_polygons([polygon1, polygon2],'test1') |
---|
1609 | assert len(v) == 4 |
---|
1610 | assert v[0] == 0 |
---|
1611 | assert v[1] == 3 |
---|
1612 | assert v[2] == 0 |
---|
1613 | assert v[3] == 2 |
---|
1614 | |
---|
1615 | #Another case |
---|
1616 | polygon3 = [[1,5], [10,1], [100,10], [50,10], [3,6]] |
---|
1617 | v = plot_polygons([polygon2,polygon3],'test2') |
---|
1618 | assert len(v) == 4 |
---|
1619 | assert v[0] == 1 |
---|
1620 | assert v[1] == 100 |
---|
1621 | assert v[2] == 1 |
---|
1622 | assert v[3] == 10 |
---|
1623 | |
---|
1624 | os.remove('test1.png') |
---|
1625 | os.remove('test2.png') |
---|
1626 | |
---|
1627 | |
---|
1628 | def test_inside_polygon_geospatial(self): |
---|
1629 | |
---|
1630 | |
---|
1631 | polygon_absolute = [[0,0], [1,0], [1,1], [0,1]] |
---|
1632 | poly_geo_ref = Geo_reference(57,100,100) |
---|
1633 | |
---|
1634 | |
---|
1635 | |
---|
1636 | |
---|
1637 | #Simplest case: Polygon is the unit square |
---|
1638 | polygon_absolute = [[0,0], [1,0], [1,1], [0,1]] |
---|
1639 | poly_geo_ref = Geo_reference(57,100,100) |
---|
1640 | polygon = poly_geo_ref.change_points_geo_ref(polygon_absolute) |
---|
1641 | poly_spatial = Geospatial_data(polygon, |
---|
1642 | geo_reference=poly_geo_ref) |
---|
1643 | |
---|
1644 | points_absolute = (0.5, 0.5) |
---|
1645 | points_geo_ref = Geo_reference(57,78,-56) |
---|
1646 | points = points_geo_ref.change_points_geo_ref(points_absolute) |
---|
1647 | points_spatial = Geospatial_data(points, |
---|
1648 | geo_reference=points_geo_ref) |
---|
1649 | |
---|
1650 | assert is_inside_polygon(points_absolute, polygon_absolute) |
---|
1651 | assert is_inside_polygon(ensure_numeric(points_absolute), |
---|
1652 | ensure_numeric(polygon_absolute)) |
---|
1653 | assert is_inside_polygon(points_absolute, poly_spatial) |
---|
1654 | assert is_inside_polygon(points_spatial, poly_spatial) |
---|
1655 | assert is_inside_polygon(points_spatial, polygon_absolute) |
---|
1656 | |
---|
1657 | assert is_inside_polygon(points_absolute, polygon_absolute) |
---|
1658 | |
---|
1659 | |
---|
1660 | def NOtest_decimate_polygon(self): |
---|
1661 | |
---|
1662 | polygon = [[0,0], [10,10], [15,5], [20, 10], |
---|
1663 | [25,0], [30,10], [40,-10], [35, -5]] |
---|
1664 | |
---|
1665 | #plot_polygons([polygon], figname='test') |
---|
1666 | |
---|
1667 | dpoly = decimate_polygon(polygon, factor=2) |
---|
1668 | |
---|
1669 | print dpoly |
---|
1670 | |
---|
1671 | assert len(dpoly)*2==len(polygon) |
---|
1672 | |
---|
1673 | minx = maxx = polygon[0][0] |
---|
1674 | miny = maxy = polygon[0][1] |
---|
1675 | for point in polygon[1:]: |
---|
1676 | x, y = point |
---|
1677 | |
---|
1678 | if x < minx: minx = x |
---|
1679 | if x > maxx: maxx = x |
---|
1680 | if y < miny: miny = y |
---|
1681 | if y > maxy: maxy = y |
---|
1682 | |
---|
1683 | |
---|
1684 | assert [minx, miny] in polygon |
---|
1685 | print minx, maxy |
---|
1686 | assert [minx, maxy] in polygon |
---|
1687 | assert [maxx, miny] in polygon |
---|
1688 | assert [maxx, maxy] in polygon |
---|
1689 | |
---|
1690 | |
---|
1691 | |
---|
1692 | def test_interpolate_polyline(self): |
---|
1693 | """test_interpolate_polyline(self): |
---|
1694 | |
---|
1695 | This test is added under the assumption that the function interpolate_polyline implemented by |
---|
1696 | John Jakeman works. It has been exercised somewhat by tests of sts boundary, but never before separately. |
---|
1697 | """ |
---|
1698 | |
---|
1699 | f = num.array([58.06150614, 58.06150614, 58.06150614]) |
---|
1700 | vertex_coordinates = num.array([[0., 0., ], |
---|
1701 | [4.04092634, 1106.11074699], |
---|
1702 | [8.08836552, 2212.16910609]]) |
---|
1703 | gauge_neighbour_id = [1, 2, -1] |
---|
1704 | point_coordinates = num.array([[2.21870766e+03, 1.09802864e+03], |
---|
1705 | [1.62739645e+03, 2.20626983e+03], |
---|
1706 | [5.20084967e+02, 2.21030386e+03], |
---|
1707 | [6.06464546e+00, 1.65913993e+03], |
---|
1708 | [1.61934862e+03, -5.88143836e+00], |
---|
1709 | [5.11996623e+02, -1.85956061e+00], |
---|
1710 | [2.02046270e+00, 5.53055373e+02]]) |
---|
1711 | |
---|
1712 | z_ref = [0., 0., 0., 58.06150614, 0., 0., 58.06150614] |
---|
1713 | |
---|
1714 | z = interpolate_polyline(f, vertex_coordinates, gauge_neighbour_id, point_coordinates) |
---|
1715 | assert num.allclose(z, z_ref) |
---|
1716 | |
---|
1717 | # Another f |
---|
1718 | f = num.array([58.06150614, 158.06150614, 258.06150614]) |
---|
1719 | z_ref = [0., 0., 0., 208.06150645, 0., 0., 108.0615061] |
---|
1720 | z = interpolate_polyline(f, vertex_coordinates, gauge_neighbour_id, point_coordinates) |
---|
1721 | assert num.allclose(z, z_ref) |
---|
1722 | |
---|
1723 | |
---|
1724 | # Other and simpler numbers |
---|
1725 | f = num.array([1, 5, 13]) |
---|
1726 | vertex_coordinates = num.array([[0., 0., ], |
---|
1727 | [4., 4.], |
---|
1728 | [8., 8.]]) |
---|
1729 | point_coordinates = num.array([[0.1, 0.1], |
---|
1730 | [3.5, 3.5], |
---|
1731 | [4.0, 4.0], |
---|
1732 | [5.2, 5.2], |
---|
1733 | [7.0, 7.0], |
---|
1734 | [8.3, 8.3]]) |
---|
1735 | gauge_neighbour_id = [1, 2, -1] |
---|
1736 | |
---|
1737 | z = interpolate_polyline(f, vertex_coordinates, gauge_neighbour_id, point_coordinates) |
---|
1738 | z_ref = [1.1, 4.5, 5., 7.4, 11., 0.] |
---|
1739 | #print z |
---|
1740 | assert num.allclose(z, z_ref) |
---|
1741 | |
---|
1742 | # Test exception thrown for one point |
---|
1743 | f = num.array([5]) |
---|
1744 | vertex_coordinates = num.array([[4., 4.]]) |
---|
1745 | try: |
---|
1746 | z = interpolate_polyline(f, vertex_coordinates, gauge_neighbour_id, point_coordinates) |
---|
1747 | except Exception: |
---|
1748 | pass |
---|
1749 | else: |
---|
1750 | raise Exception, 'One point should have raised exception' |
---|
1751 | |
---|
1752 | |
---|
1753 | # More polyline nodes |
---|
1754 | data = num.array([1, 5, 13, 12, 6, 29]) |
---|
1755 | polyline_nodes = num.array([[0., 0.], |
---|
1756 | [4., 4.], |
---|
1757 | [8., 8.], |
---|
1758 | [10., 10.], |
---|
1759 | [10., 5.], |
---|
1760 | [10., 0.]]) |
---|
1761 | |
---|
1762 | point_coordinates = num.array([[0.1, 0.1], |
---|
1763 | [3.5, 3.5], |
---|
1764 | [4.0, 4.0], |
---|
1765 | [5.2, 5.2], |
---|
1766 | [7.0, 7.0], |
---|
1767 | [8.3, 8.3], |
---|
1768 | [10., 10.], |
---|
1769 | [10., 9.], |
---|
1770 | [10., 7.1], |
---|
1771 | [10., 4.3], |
---|
1772 | [10., 1.0]]) |
---|
1773 | |
---|
1774 | gauge_neighbour_id = [1, 2, 3, 4, 5, -1] |
---|
1775 | |
---|
1776 | z = interpolate_polyline(data, polyline_nodes, gauge_neighbour_id, point_coordinates) |
---|
1777 | z_ref = [1.1, 4.5, 5., 7.4, 11., 12.85, 12., 10.8, 8.52, 9.22, 24.4] |
---|
1778 | assert num.allclose(z, z_ref) |
---|
1779 | |
---|
1780 | |
---|
1781 | |
---|
1782 | #------------------------------------------------------------- |
---|
1783 | if __name__ == "__main__": |
---|
1784 | suite = unittest.makeSuite(Test_Polygon,'test') |
---|
1785 | runner = unittest.TextTestRunner() |
---|
1786 | runner.run(suite) |
---|
1787 | |
---|
1788 | |
---|
1789 | |
---|
1790 | |
---|