Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/tests/test_planarity.py @ 0:4f3585e2f14b draft default tip
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author | shellac |
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date | Mon, 22 Mar 2021 18:12:50 +0000 |
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1 import pytest |
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2 import networkx as nx |
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3 from networkx.algorithms.planarity import get_counterexample |
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4 from networkx.algorithms.planarity import get_counterexample_recursive |
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5 from networkx.algorithms.planarity import check_planarity_recursive |
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6 |
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7 |
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8 class TestLRPlanarity: |
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9 """Nose Unit tests for the :mod:`networkx.algorithms.planarity` module. |
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10 |
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11 Tests three things: |
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12 1. Check that the result is correct |
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13 (returns planar if and only if the graph is actually planar) |
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14 2. In case a counter example is returned: Check if it is correct |
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15 3. In case an embedding is returned: Check if its actually an embedding |
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16 """ |
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17 |
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18 @staticmethod |
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19 def check_graph(G, is_planar=None): |
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20 """Raises an exception if the lr_planarity check returns a wrong result |
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21 |
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22 Parameters |
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23 ---------- |
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24 G : NetworkX graph |
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25 is_planar : bool |
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26 The expected result of the planarity check. |
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27 If set to None only counter example or embedding are verified. |
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28 |
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29 """ |
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30 |
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31 # obtain results of planarity check |
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32 is_planar_lr, result = nx.check_planarity(G, True) |
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33 is_planar_lr_rec, result_rec = check_planarity_recursive(G, True) |
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34 |
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35 if is_planar is not None: |
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36 # set a message for the assert |
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37 if is_planar: |
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38 msg = "Wrong planarity check result. Should be planar." |
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39 else: |
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40 msg = "Wrong planarity check result. Should be non-planar." |
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41 |
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42 # check if the result is as expected |
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43 assert is_planar == is_planar_lr, msg |
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44 assert is_planar == is_planar_lr_rec, msg |
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45 |
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46 if is_planar_lr: |
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47 # check embedding |
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48 check_embedding(G, result) |
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49 check_embedding(G, result_rec) |
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50 else: |
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51 # check counter example |
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52 check_counterexample(G, result) |
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53 check_counterexample(G, result_rec) |
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54 |
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55 def test_simple_planar_graph(self): |
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56 e = [ |
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57 (1, 2), |
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58 (2, 3), |
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59 (3, 4), |
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60 (4, 6), |
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61 (6, 7), |
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62 (7, 1), |
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63 (1, 5), |
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64 (5, 2), |
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65 (2, 4), |
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66 (4, 5), |
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67 (5, 7), |
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68 ] |
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69 self.check_graph(nx.Graph(e), is_planar=True) |
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70 |
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71 def test_planar_with_selfloop(self): |
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72 e = [ |
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73 (1, 1), |
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74 (2, 2), |
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75 (3, 3), |
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76 (4, 4), |
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77 (5, 5), |
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78 (1, 2), |
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79 (1, 3), |
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81 (2, 5), |
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82 (2, 4), |
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84 (3, 5), |
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85 (4, 5), |
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86 ] |
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87 self.check_graph(nx.Graph(e), is_planar=True) |
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88 |
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89 def test_k3_3(self): |
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90 self.check_graph(nx.complete_bipartite_graph(3, 3), is_planar=False) |
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91 |
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92 def test_k5(self): |
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93 self.check_graph(nx.complete_graph(5), is_planar=False) |
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94 |
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95 def test_multiple_components_planar(self): |
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96 e = [(1, 2), (2, 3), (3, 1), (4, 5), (5, 6), (6, 4)] |
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97 self.check_graph(nx.Graph(e), is_planar=True) |
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98 |
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99 def test_multiple_components_non_planar(self): |
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100 G = nx.complete_graph(5) |
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101 # add another planar component to the non planar component |
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102 # G stays non planar |
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103 G.add_edges_from([(6, 7), (7, 8), (8, 6)]) |
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104 self.check_graph(G, is_planar=False) |
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105 |
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106 def test_non_planar_with_selfloop(self): |
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107 G = nx.complete_graph(5) |
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108 # add self loops |
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109 for i in range(5): |
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110 G.add_edge(i, i) |
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111 self.check_graph(G, is_planar=False) |
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112 |
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113 def test_non_planar1(self): |
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114 # tests a graph that has no subgraph directly isomorph to K5 or K3_3 |
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115 e = [ |
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126 ] |
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127 self.check_graph(nx.Graph(e), is_planar=False) |
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128 |
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129 def test_loop(self): |
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130 # test a graph with a selfloop |
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131 e = [(1, 2), (2, 2)] |
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132 G = nx.Graph(e) |
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133 self.check_graph(G, is_planar=True) |
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134 |
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135 def test_comp(self): |
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136 # test multiple component graph |
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137 e = [(1, 2), (3, 4)] |
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138 G = nx.Graph(e) |
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139 G.remove_edge(1, 2) |
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140 self.check_graph(G, is_planar=True) |
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141 |
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142 def test_goldner_harary(self): |
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143 # test goldner-harary graph (a maximal planar graph) |
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144 e = [ |
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145 (1, 2), |
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146 (1, 3), |
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147 (1, 4), |
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148 (1, 5), |
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149 (1, 7), |
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150 (1, 8), |
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151 (1, 10), |
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152 (1, 11), |
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153 (2, 3), |
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154 (2, 4), |
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155 (2, 6), |
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156 (2, 7), |
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157 (2, 9), |
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158 (2, 10), |
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159 (2, 11), |
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160 (3, 4), |
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161 (4, 5), |
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162 (4, 6), |
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163 (4, 7), |
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164 (5, 7), |
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165 (6, 7), |
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166 (7, 8), |
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167 (7, 9), |
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168 (7, 10), |
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169 (8, 10), |
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170 (9, 10), |
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171 (10, 11), |
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172 ] |
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173 G = nx.Graph(e) |
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174 self.check_graph(G, is_planar=True) |
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175 |
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176 def test_planar_multigraph(self): |
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177 G = nx.MultiGraph([(1, 2), (1, 2), (1, 2), (1, 2), (2, 3), (3, 1)]) |
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178 self.check_graph(G, is_planar=True) |
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179 |
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180 def test_non_planar_multigraph(self): |
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181 G = nx.MultiGraph(nx.complete_graph(5)) |
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182 G.add_edges_from([(1, 2)] * 5) |
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183 self.check_graph(G, is_planar=False) |
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184 |
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185 def test_planar_digraph(self): |
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186 G = nx.DiGraph([(1, 2), (2, 3), (2, 4), (4, 1), (4, 2), (1, 4), (3, 2)]) |
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187 self.check_graph(G, is_planar=True) |
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188 |
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189 def test_non_planar_digraph(self): |
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190 G = nx.DiGraph(nx.complete_graph(5)) |
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191 G.remove_edge(1, 2) |
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192 G.remove_edge(4, 1) |
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193 self.check_graph(G, is_planar=False) |
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194 |
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195 def test_single_component(self): |
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196 # Test a graph with only a single node |
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197 G = nx.Graph() |
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198 G.add_node(1) |
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199 self.check_graph(G, is_planar=True) |
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200 |
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201 def test_graph1(self): |
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202 G = nx.OrderedGraph( |
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203 [ |
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204 (3, 10), |
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205 (2, 13), |
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206 (1, 13), |
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207 (7, 11), |
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208 (0, 8), |
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209 (8, 13), |
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210 (0, 2), |
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211 (0, 7), |
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212 (0, 10), |
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213 (1, 7), |
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214 ] |
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215 ) |
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216 self.check_graph(G, is_planar=True) |
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217 |
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218 def test_graph2(self): |
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219 G = nx.OrderedGraph( |
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220 [ |
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221 (1, 2), |
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222 (4, 13), |
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223 (0, 13), |
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224 (4, 5), |
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225 (7, 10), |
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226 (1, 7), |
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238 ] |
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239 ) |
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240 self.check_graph(G, is_planar=False) |
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241 |
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242 def test_graph3(self): |
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243 G = nx.OrderedGraph( |
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244 [ |
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258 (5, 13), |
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259 ] |
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260 ) |
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261 self.check_graph(G, is_planar=False) |
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262 |
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263 def test_counterexample_planar(self): |
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264 with pytest.raises(nx.NetworkXException): |
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265 # Try to get a counterexample of a planar graph |
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266 G = nx.Graph() |
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267 G.add_node(1) |
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268 get_counterexample(G) |
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269 |
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270 def test_counterexample_planar_recursive(self): |
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271 with pytest.raises(nx.NetworkXException): |
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272 # Try to get a counterexample of a planar graph |
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273 G = nx.Graph() |
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274 G.add_node(1) |
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275 get_counterexample_recursive(G) |
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276 |
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277 |
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278 def check_embedding(G, embedding): |
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279 """Raises an exception if the combinatorial embedding is not correct |
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280 |
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281 Parameters |
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282 ---------- |
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283 G : NetworkX graph |
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284 embedding : a dict mapping nodes to a list of edges |
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285 This specifies the ordering of the outgoing edges from a node for |
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286 a combinatorial embedding |
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287 |
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288 Notes |
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289 ----- |
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290 Checks the following things: |
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291 - The type of the embedding is correct |
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292 - The nodes and edges match the original graph |
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293 - Every half edge has its matching opposite half edge |
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294 - No intersections of edges (checked by Euler's formula) |
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295 """ |
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296 |
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297 if not isinstance(embedding, nx.PlanarEmbedding): |
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298 raise nx.NetworkXException("Bad embedding. Not of type nx.PlanarEmbedding") |
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299 |
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300 # Check structure |
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301 embedding.check_structure() |
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302 |
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303 # Check that graphs are equivalent |
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304 |
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305 assert set(G.nodes) == set( |
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306 embedding.nodes |
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307 ), "Bad embedding. Nodes don't match the original graph." |
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308 |
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309 # Check that the edges are equal |
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310 g_edges = set() |
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311 for edge in G.edges: |
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312 if edge[0] != edge[1]: |
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313 g_edges.add((edge[0], edge[1])) |
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314 g_edges.add((edge[1], edge[0])) |
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315 assert g_edges == set( |
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316 embedding.edges |
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317 ), "Bad embedding. Edges don't match the original graph." |
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318 |
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319 |
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320 def check_counterexample(G, sub_graph): |
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321 """Raises an exception if the counterexample is wrong. |
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322 |
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323 Parameters |
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324 ---------- |
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325 G : NetworkX graph |
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326 subdivision_nodes : set |
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327 A set of nodes inducing a subgraph as a counterexample |
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328 """ |
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329 # 1. Create the sub graph |
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330 sub_graph = nx.Graph(sub_graph) |
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331 |
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332 # 2. Remove self loops |
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333 for u in sub_graph: |
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334 if sub_graph.has_edge(u, u): |
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335 sub_graph.remove_edge(u, u) |
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336 |
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337 # keep track of nodes we might need to contract |
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338 contract = list(sub_graph) |
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339 |
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340 # 3. Contract Edges |
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341 while len(contract) > 0: |
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342 contract_node = contract.pop() |
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343 if contract_node not in sub_graph: |
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344 # Node was already contracted |
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345 continue |
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346 degree = sub_graph.degree[contract_node] |
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347 # Check if we can remove the node |
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348 if degree == 2: |
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349 # Get the two neighbors |
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350 neighbors = iter(sub_graph[contract_node]) |
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351 u = next(neighbors) |
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352 v = next(neighbors) |
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353 # Save nodes for later |
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354 contract.append(u) |
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355 contract.append(v) |
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356 # Contract edge |
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357 sub_graph.remove_node(contract_node) |
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358 sub_graph.add_edge(u, v) |
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359 |
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360 # 4. Check for isomorphism with K5 or K3_3 graphs |
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361 if len(sub_graph) == 5: |
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362 if not nx.is_isomorphic(nx.complete_graph(5), sub_graph): |
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363 raise nx.NetworkXException("Bad counter example.") |
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364 elif len(sub_graph) == 6: |
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365 if not nx.is_isomorphic(nx.complete_bipartite_graph(3, 3), sub_graph): |
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366 raise nx.NetworkXException("Bad counter example.") |
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367 else: |
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368 raise nx.NetworkXException("Bad counter example.") |
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369 |
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370 |
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371 class TestPlanarEmbeddingClass: |
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372 def test_get_data(self): |
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373 embedding = self.get_star_embedding(3) |
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374 data = embedding.get_data() |
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375 data_cmp = {0: [2, 1], 1: [0], 2: [0]} |
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376 assert data == data_cmp |
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377 |
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378 def test_missing_edge_orientation(self): |
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379 with pytest.raises(nx.NetworkXException): |
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380 embedding = nx.PlanarEmbedding() |
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381 embedding.add_edge(1, 2) |
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382 embedding.add_edge(2, 1) |
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383 # Invalid structure because the orientation of the edge was not set |
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384 embedding.check_structure() |
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385 |
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386 def test_invalid_edge_orientation(self): |
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387 with pytest.raises(nx.NetworkXException): |
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388 embedding = nx.PlanarEmbedding() |
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389 embedding.add_half_edge_first(1, 2) |
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390 embedding.add_half_edge_first(2, 1) |
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391 embedding.add_edge(1, 3) |
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392 embedding.check_structure() |
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393 |
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394 def test_missing_half_edge(self): |
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395 with pytest.raises(nx.NetworkXException): |
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396 embedding = nx.PlanarEmbedding() |
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397 embedding.add_half_edge_first(1, 2) |
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398 # Invalid structure because other half edge is missing |
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399 embedding.check_structure() |
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400 |
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401 def test_not_fulfilling_euler_formula(self): |
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402 with pytest.raises(nx.NetworkXException): |
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403 embedding = nx.PlanarEmbedding() |
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404 for i in range(5): |
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405 for j in range(5): |
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406 if i != j: |
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407 embedding.add_half_edge_first(i, j) |
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408 embedding.check_structure() |
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409 |
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410 def test_missing_reference(self): |
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411 with pytest.raises(nx.NetworkXException): |
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412 embedding = nx.PlanarEmbedding() |
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413 embedding.add_half_edge_cw(1, 2, 3) |
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414 |
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415 def test_connect_components(self): |
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416 embedding = nx.PlanarEmbedding() |
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417 embedding.connect_components(1, 2) |
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418 |
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419 def test_successful_face_traversal(self): |
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420 embedding = nx.PlanarEmbedding() |
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421 embedding.add_half_edge_first(1, 2) |
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422 embedding.add_half_edge_first(2, 1) |
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423 face = embedding.traverse_face(1, 2) |
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424 assert face == [1, 2] |
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425 |
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426 def test_unsuccessful_face_traversal(self): |
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427 with pytest.raises(nx.NetworkXException): |
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428 embedding = nx.PlanarEmbedding() |
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429 embedding.add_edge(1, 2, ccw=2, cw=3) |
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430 embedding.add_edge(2, 1, ccw=1, cw=3) |
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431 embedding.traverse_face(1, 2) |
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432 |
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433 @staticmethod |
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434 def get_star_embedding(n): |
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435 embedding = nx.PlanarEmbedding() |
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436 for i in range(1, n): |
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437 embedding.add_half_edge_first(0, i) |
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438 embedding.add_half_edge_first(i, 0) |
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439 return embedding |