annotate env/lib/python3.9/site-packages/networkx/algorithms/tests/test_dominance.py @ 0:4f3585e2f14b draft default tip

"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
author shellac
date Mon, 22 Mar 2021 18:12:50 +0000
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1 import networkx as nx
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2 import pytest
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3
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4
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5 class TestImmediateDominators:
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6 def test_exceptions(self):
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7 G = nx.Graph()
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8 G.add_node(0)
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9 pytest.raises(nx.NetworkXNotImplemented, nx.immediate_dominators, G, 0)
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10 G = nx.MultiGraph(G)
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11 pytest.raises(nx.NetworkXNotImplemented, nx.immediate_dominators, G, 0)
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12 G = nx.DiGraph([[0, 0]])
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13 pytest.raises(nx.NetworkXError, nx.immediate_dominators, G, 1)
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14
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15 def test_singleton(self):
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16 G = nx.DiGraph()
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17 G.add_node(0)
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18 assert nx.immediate_dominators(G, 0) == {0: 0}
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19 G.add_edge(0, 0)
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20 assert nx.immediate_dominators(G, 0) == {0: 0}
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21
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22 def test_path(self):
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23 n = 5
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24 G = nx.path_graph(n, create_using=nx.DiGraph())
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25 assert nx.immediate_dominators(G, 0) == {i: max(i - 1, 0) for i in range(n)}
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26
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27 def test_cycle(self):
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28 n = 5
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29 G = nx.cycle_graph(n, create_using=nx.DiGraph())
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30 assert nx.immediate_dominators(G, 0) == {i: max(i - 1, 0) for i in range(n)}
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31
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32 def test_unreachable(self):
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33 n = 5
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34 assert n > 1
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35 G = nx.path_graph(n, create_using=nx.DiGraph())
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36 assert nx.immediate_dominators(G, n // 2) == {
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37 i: max(i - 1, n // 2) for i in range(n // 2, n)
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38 }
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39
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40 def test_irreducible1(self):
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41 # Graph taken from Figure 2 of
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42 # K. D. Cooper, T. J. Harvey, and K. Kennedy.
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43 # A simple, fast dominance algorithm.
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44 # Software Practice & Experience, 4:110, 2001.
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45 edges = [(1, 2), (2, 1), (3, 2), (4, 1), (5, 3), (5, 4)]
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46 G = nx.DiGraph(edges)
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47 assert nx.immediate_dominators(G, 5) == {i: 5 for i in range(1, 6)}
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48
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49 def test_irreducible2(self):
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50 # Graph taken from Figure 4 of
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51 # K. D. Cooper, T. J. Harvey, and K. Kennedy.
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52 # A simple, fast dominance algorithm.
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53 # Software Practice & Experience, 4:110, 2001.
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54 edges = [(1, 2), (2, 1), (2, 3), (3, 2), (4, 2), (4, 3), (5, 1), (6, 4), (6, 5)]
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55 G = nx.DiGraph(edges)
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56 result = nx.immediate_dominators(G, 6)
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57 assert result == {i: 6 for i in range(1, 7)}
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58
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59 def test_domrel_png(self):
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60 # Graph taken from https://commons.wikipedia.org/wiki/File:Domrel.png
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61 edges = [(1, 2), (2, 3), (2, 4), (2, 6), (3, 5), (4, 5), (5, 2)]
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62 G = nx.DiGraph(edges)
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63 result = nx.immediate_dominators(G, 1)
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64 assert result == {1: 1, 2: 1, 3: 2, 4: 2, 5: 2, 6: 2}
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65 # Test postdominance.
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66 result = nx.immediate_dominators(G.reverse(copy=False), 6)
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67 assert result == {1: 2, 2: 6, 3: 5, 4: 5, 5: 2, 6: 6}
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68
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69 def test_boost_example(self):
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70 # Graph taken from Figure 1 of
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71 # http://www.boost.org/doc/libs/1_56_0/libs/graph/doc/lengauer_tarjan_dominator.htm
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72 edges = [(0, 1), (1, 2), (1, 3), (2, 7), (3, 4), (4, 5), (4, 6), (5, 7), (6, 4)]
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73 G = nx.DiGraph(edges)
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74 result = nx.immediate_dominators(G, 0)
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75 assert result == {0: 0, 1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 4, 7: 1}
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76 # Test postdominance.
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77 result = nx.immediate_dominators(G.reverse(copy=False), 7)
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78 assert result == {0: 1, 1: 7, 2: 7, 3: 4, 4: 5, 5: 7, 6: 4, 7: 7}
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79
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80
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81 class TestDominanceFrontiers:
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82 def test_exceptions(self):
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83 G = nx.Graph()
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84 G.add_node(0)
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85 pytest.raises(nx.NetworkXNotImplemented, nx.dominance_frontiers, G, 0)
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86 G = nx.MultiGraph(G)
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87 pytest.raises(nx.NetworkXNotImplemented, nx.dominance_frontiers, G, 0)
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88 G = nx.DiGraph([[0, 0]])
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89 pytest.raises(nx.NetworkXError, nx.dominance_frontiers, G, 1)
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90
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91 def test_singleton(self):
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92 G = nx.DiGraph()
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93 G.add_node(0)
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94 assert nx.dominance_frontiers(G, 0) == {0: set()}
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95 G.add_edge(0, 0)
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96 assert nx.dominance_frontiers(G, 0) == {0: set()}
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97
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98 def test_path(self):
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99 n = 5
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100 G = nx.path_graph(n, create_using=nx.DiGraph())
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101 assert nx.dominance_frontiers(G, 0) == {i: set() for i in range(n)}
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102
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103 def test_cycle(self):
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104 n = 5
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105 G = nx.cycle_graph(n, create_using=nx.DiGraph())
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106 assert nx.dominance_frontiers(G, 0) == {i: set() for i in range(n)}
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107
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108 def test_unreachable(self):
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109 n = 5
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110 assert n > 1
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111 G = nx.path_graph(n, create_using=nx.DiGraph())
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112 assert nx.dominance_frontiers(G, n // 2) == {i: set() for i in range(n // 2, n)}
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113
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114 def test_irreducible1(self):
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115 # Graph taken from Figure 2 of
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116 # K. D. Cooper, T. J. Harvey, and K. Kennedy.
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117 # A simple, fast dominance algorithm.
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118 # Software Practice & Experience, 4:110, 2001.
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119 edges = [(1, 2), (2, 1), (3, 2), (4, 1), (5, 3), (5, 4)]
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120 G = nx.DiGraph(edges)
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121 assert {u: df for u, df in nx.dominance_frontiers(G, 5).items()} == {
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122 1: {2},
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123 2: {1},
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124 3: {2},
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125 4: {1},
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126 5: set(),
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127 }
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128
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129 def test_irreducible2(self):
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130 # Graph taken from Figure 4 of
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131 # K. D. Cooper, T. J. Harvey, and K. Kennedy.
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132 # A simple, fast dominance algorithm.
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133 # Software Practice & Experience, 4:110, 2001.
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134 edges = [(1, 2), (2, 1), (2, 3), (3, 2), (4, 2), (4, 3), (5, 1), (6, 4), (6, 5)]
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135 G = nx.DiGraph(edges)
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136 assert nx.dominance_frontiers(G, 6) == {
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137 1: {2},
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138 2: {1, 3},
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139 3: {2},
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140 4: {2, 3},
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141 5: {1},
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142 6: set(),
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143 }
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144
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145 def test_domrel_png(self):
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146 # Graph taken from https://commons.wikipedia.org/wiki/File:Domrel.png
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147 edges = [(1, 2), (2, 3), (2, 4), (2, 6), (3, 5), (4, 5), (5, 2)]
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148 G = nx.DiGraph(edges)
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149 assert nx.dominance_frontiers(G, 1) == {
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150 1: set(),
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151 2: {2},
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152 3: {5},
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153 4: {5},
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154 5: {2},
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155 6: set(),
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156 }
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157 # Test postdominance.
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158 result = nx.dominance_frontiers(G.reverse(copy=False), 6)
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159 assert result == {1: set(), 2: {2}, 3: {2}, 4: {2}, 5: {2}, 6: set()}
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160
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161 def test_boost_example(self):
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162 # Graph taken from Figure 1 of
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163 # http://www.boost.org/doc/libs/1_56_0/libs/graph/doc/lengauer_tarjan_dominator.htm
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164 edges = [(0, 1), (1, 2), (1, 3), (2, 7), (3, 4), (4, 5), (4, 6), (5, 7), (6, 4)]
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165 G = nx.DiGraph(edges)
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166 assert nx.dominance_frontiers(G, 0) == {
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167 0: set(),
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168 1: set(),
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169 2: {7},
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170 3: {7},
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171 4: {4, 7},
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172 5: {7},
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173 6: {4},
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174 7: set(),
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175 }
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176 # Test postdominance.
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177 result = nx.dominance_frontiers(G.reverse(copy=False), 7)
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178 expected = {
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179 0: set(),
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180 1: set(),
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181 2: {1},
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182 3: {1},
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183 4: {1, 4},
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184 5: {1},
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185 6: {4},
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186 7: set(),
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187 }
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188 assert result == expected
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189
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190 def test_discard_issue(self):
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191 # https://github.com/networkx/networkx/issues/2071
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192 g = nx.DiGraph()
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193 g.add_edges_from(
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194 [
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195 ("b0", "b1"),
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196 ("b1", "b2"),
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197 ("b2", "b3"),
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198 ("b3", "b1"),
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199 ("b1", "b5"),
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200 ("b5", "b6"),
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201 ("b5", "b8"),
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202 ("b6", "b7"),
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203 ("b8", "b7"),
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204 ("b7", "b3"),
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205 ("b3", "b4"),
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206 ]
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207 )
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208 df = nx.dominance_frontiers(g, "b0")
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209 assert df == {
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210 "b4": set(),
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211 "b5": {"b3"},
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212 "b6": {"b7"},
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213 "b7": {"b3"},
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214 "b0": set(),
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215 "b1": {"b1"},
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216 "b2": {"b3"},
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217 "b3": {"b1"},
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218 "b8": {"b7"},
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219 }
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220
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221 def test_loop(self):
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222 g = nx.DiGraph()
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223 g.add_edges_from([("a", "b"), ("b", "c"), ("b", "a")])
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224 df = nx.dominance_frontiers(g, "a")
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225 assert df == {"a": set(), "b": set(), "c": set()}
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226
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227 def test_missing_immediate_doms(self):
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228 # see https://github.com/networkx/networkx/issues/2070
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229 g = nx.DiGraph()
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230 edges = [
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231 ("entry_1", "b1"),
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232 ("b1", "b2"),
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233 ("b2", "b3"),
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234 ("b3", "exit"),
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235 ("entry_2", "b3"),
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236 ]
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237
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238 # entry_1
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239 # |
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240 # b1
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241 # |
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242 # b2 entry_2
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243 # | /
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244 # b3
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245 # |
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246 # exit
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247
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248 g.add_edges_from(edges)
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249 # formerly raised KeyError on entry_2 when parsing b3
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250 # because entry_2 does not have immediate doms (no path)
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251 nx.dominance_frontiers(g, "entry_1")
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252
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253 def test_loops_larger(self):
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254 # from
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255 # http://ecee.colorado.edu/~waite/Darmstadt/motion.html
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256 g = nx.DiGraph()
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257 edges = [
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258 ("entry", "exit"),
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259 ("entry", "1"),
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260 ("1", "2"),
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261 ("2", "3"),
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262 ("3", "4"),
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263 ("4", "5"),
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264 ("5", "6"),
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265 ("6", "exit"),
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266 ("6", "2"),
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267 ("5", "3"),
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268 ("4", "4"),
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269 ]
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270
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271 g.add_edges_from(edges)
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272 df = nx.dominance_frontiers(g, "entry")
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273 answer = {
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274 "entry": set(),
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275 "1": {"exit"},
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276 "2": {"exit", "2"},
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277 "3": {"exit", "3", "2"},
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278 "4": {"exit", "4", "3", "2"},
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279 "5": {"exit", "3", "2"},
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280 "6": {"exit", "2"},
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281 "exit": set(),
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282 }
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283 for n in df:
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284 assert set(df[n]) == set(answer[n])