Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/isomorphism/tests/test_ismags.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 """ |
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2 Tests for ISMAGS isomorphism algorithm. |
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3 """ |
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4 |
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5 import pytest |
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6 import networkx as nx |
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7 from networkx.algorithms import isomorphism as iso |
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8 |
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9 |
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10 def _matches_to_sets(matches): |
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11 """ |
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12 Helper function to facilitate comparing collections of dictionaries in |
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13 which order does not matter. |
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14 """ |
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15 return set(map(lambda m: frozenset(m.items()), matches)) |
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16 |
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17 |
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18 class TestSelfIsomorphism: |
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19 data = [ |
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20 ( |
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21 [ |
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22 (0, dict(name="a")), |
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23 (1, dict(name="a")), |
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24 (2, dict(name="b")), |
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25 (3, dict(name="b")), |
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26 (4, dict(name="a")), |
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27 (5, dict(name="a")), |
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28 ], |
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29 [(0, 1), (1, 2), (2, 3), (3, 4), (4, 5)], |
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30 ), |
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31 (range(1, 5), [(1, 2), (2, 4), (4, 3), (3, 1)]), |
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32 ( |
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33 [], |
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34 [ |
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35 (0, 1), |
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36 (1, 2), |
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37 (2, 3), |
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38 (3, 4), |
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39 (4, 5), |
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40 (5, 0), |
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41 (0, 6), |
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42 (6, 7), |
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43 (2, 8), |
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44 (8, 9), |
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45 (4, 10), |
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46 (10, 11), |
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47 ], |
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48 ), |
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49 ([], [(0, 1), (1, 2), (1, 4), (2, 3), (3, 5), (3, 6)]), |
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50 ] |
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51 |
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52 def test_self_isomorphism(self): |
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53 """ |
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54 For some small, symmetric graphs, make sure that 1) they are isomorphic |
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55 to themselves, and 2) that only the identity mapping is found. |
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56 """ |
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57 for node_data, edge_data in self.data: |
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58 graph = nx.Graph() |
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59 graph.add_nodes_from(node_data) |
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60 graph.add_edges_from(edge_data) |
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61 |
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62 ismags = iso.ISMAGS( |
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63 graph, graph, node_match=iso.categorical_node_match("name", None) |
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64 ) |
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65 assert ismags.is_isomorphic() |
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66 assert ismags.subgraph_is_isomorphic() |
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67 assert list(ismags.subgraph_isomorphisms_iter(symmetry=True)) == [ |
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68 {n: n for n in graph.nodes} |
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69 ] |
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70 |
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71 def test_edgecase_self_isomorphism(self): |
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72 """ |
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73 This edgecase is one of the cases in which it is hard to find all |
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74 symmetry elements. |
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75 """ |
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76 graph = nx.Graph() |
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77 nx.add_path(graph, range(5)) |
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78 graph.add_edges_from([(2, 5), (5, 6)]) |
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79 |
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80 ismags = iso.ISMAGS(graph, graph) |
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81 ismags_answer = list(ismags.find_isomorphisms(True)) |
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82 assert ismags_answer == [{n: n for n in graph.nodes}] |
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83 |
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84 graph = nx.relabel_nodes(graph, {0: 0, 1: 1, 2: 2, 3: 3, 4: 6, 5: 4, 6: 5}) |
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85 ismags = iso.ISMAGS(graph, graph) |
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86 ismags_answer = list(ismags.find_isomorphisms(True)) |
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87 assert ismags_answer == [{n: n for n in graph.nodes}] |
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88 |
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89 @pytest.mark.skip() |
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90 def test_directed_self_isomorphism(self): |
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91 """ |
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92 For some small, directed, symmetric graphs, make sure that 1) they are |
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93 isomorphic to themselves, and 2) that only the identity mapping is |
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94 found. |
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95 """ |
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96 for node_data, edge_data in self.data: |
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97 graph = nx.Graph() |
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98 graph.add_nodes_from(node_data) |
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99 graph.add_edges_from(edge_data) |
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100 |
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101 ismags = iso.ISMAGS( |
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102 graph, graph, node_match=iso.categorical_node_match("name", None) |
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103 ) |
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104 assert ismags.is_isomorphic() |
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105 assert ismags.subgraph_is_isomorphic() |
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106 assert list(ismags.subgraph_isomorphisms_iter(symmetry=True)) == [ |
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107 {n: n for n in graph.nodes} |
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108 ] |
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109 |
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110 |
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111 class TestSubgraphIsomorphism: |
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112 def test_isomorphism(self): |
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113 g1 = nx.Graph() |
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114 nx.add_cycle(g1, range(4)) |
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115 |
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116 g2 = nx.Graph() |
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117 nx.add_cycle(g2, range(4)) |
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118 g2.add_edges_from([(n, m) for n, m in zip(g2, range(4, 8))]) |
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119 ismags = iso.ISMAGS(g2, g1) |
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120 assert list(ismags.subgraph_isomorphisms_iter(symmetry=True)) == [ |
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121 {n: n for n in g1.nodes} |
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122 ] |
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123 |
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124 def test_isomorphism2(self): |
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125 g1 = nx.Graph() |
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126 nx.add_path(g1, range(3)) |
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127 |
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128 g2 = g1.copy() |
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129 g2.add_edge(1, 3) |
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130 |
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131 ismags = iso.ISMAGS(g2, g1) |
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132 matches = ismags.subgraph_isomorphisms_iter(symmetry=True) |
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133 expected_symmetric = [ |
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134 {0: 0, 1: 1, 2: 2}, |
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135 {0: 0, 1: 1, 3: 2}, |
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136 {2: 0, 1: 1, 3: 2}, |
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137 ] |
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138 assert _matches_to_sets(matches) == _matches_to_sets(expected_symmetric) |
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139 |
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140 matches = ismags.subgraph_isomorphisms_iter(symmetry=False) |
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141 expected_asymmetric = [ |
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142 {0: 2, 1: 1, 2: 0}, |
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143 {0: 2, 1: 1, 3: 0}, |
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144 {2: 2, 1: 1, 3: 0}, |
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145 ] |
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146 assert _matches_to_sets(matches) == _matches_to_sets( |
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147 expected_symmetric + expected_asymmetric |
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148 ) |
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149 |
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150 def test_labeled_nodes(self): |
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151 g1 = nx.Graph() |
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152 nx.add_cycle(g1, range(3)) |
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153 g1.nodes[1]["attr"] = True |
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154 |
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155 g2 = g1.copy() |
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156 g2.add_edge(1, 3) |
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157 ismags = iso.ISMAGS(g2, g1, node_match=lambda x, y: x == y) |
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158 matches = ismags.subgraph_isomorphisms_iter(symmetry=True) |
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159 expected_symmetric = [{0: 0, 1: 1, 2: 2}] |
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160 assert _matches_to_sets(matches) == _matches_to_sets(expected_symmetric) |
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161 |
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162 matches = ismags.subgraph_isomorphisms_iter(symmetry=False) |
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163 expected_asymmetric = [{0: 2, 1: 1, 2: 0}] |
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164 assert _matches_to_sets(matches) == _matches_to_sets( |
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165 expected_symmetric + expected_asymmetric |
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166 ) |
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167 |
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168 def test_labeled_edges(self): |
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169 g1 = nx.Graph() |
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170 nx.add_cycle(g1, range(3)) |
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171 g1.edges[1, 2]["attr"] = True |
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172 |
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173 g2 = g1.copy() |
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174 g2.add_edge(1, 3) |
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175 ismags = iso.ISMAGS(g2, g1, edge_match=lambda x, y: x == y) |
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176 matches = ismags.subgraph_isomorphisms_iter(symmetry=True) |
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177 expected_symmetric = [{0: 0, 1: 1, 2: 2}] |
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178 assert _matches_to_sets(matches) == _matches_to_sets(expected_symmetric) |
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179 |
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180 matches = ismags.subgraph_isomorphisms_iter(symmetry=False) |
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181 expected_asymmetric = [{1: 2, 0: 0, 2: 1}] |
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182 assert _matches_to_sets(matches) == _matches_to_sets( |
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183 expected_symmetric + expected_asymmetric |
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184 ) |
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185 |
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186 |
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187 class TestWikipediaExample: |
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188 # Nodes 'a', 'b', 'c' and 'd' form a column. |
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189 # Nodes 'g', 'h', 'i' and 'j' form a column. |
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190 g1edges = [ |
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191 ["a", "g"], |
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192 ["a", "h"], |
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193 ["a", "i"], |
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194 ["b", "g"], |
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195 ["b", "h"], |
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196 ["b", "j"], |
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197 ["c", "g"], |
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198 ["c", "i"], |
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199 ["c", "j"], |
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200 ["d", "h"], |
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201 ["d", "i"], |
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202 ["d", "j"], |
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203 ] |
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204 |
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205 # Nodes 1,2,3,4 form the clockwise corners of a large square. |
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206 # Nodes 5,6,7,8 form the clockwise corners of a small square |
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207 g2edges = [ |
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208 [1, 2], |
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209 [2, 3], |
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210 [3, 4], |
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211 [4, 1], |
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212 [5, 6], |
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213 [6, 7], |
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214 [7, 8], |
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215 [8, 5], |
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216 [1, 5], |
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217 [2, 6], |
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218 [3, 7], |
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219 [4, 8], |
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220 ] |
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221 |
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222 def test_graph(self): |
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223 g1 = nx.Graph() |
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224 g2 = nx.Graph() |
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225 g1.add_edges_from(self.g1edges) |
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226 g2.add_edges_from(self.g2edges) |
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227 gm = iso.ISMAGS(g1, g2) |
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228 assert gm.is_isomorphic() |
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229 |
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230 |
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231 class TestLargestCommonSubgraph: |
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232 def test_mcis(self): |
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233 # Example graphs from DOI: 10.1002/spe.588 |
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234 graph1 = nx.Graph() |
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235 graph1.add_edges_from([(1, 2), (2, 3), (2, 4), (3, 4), (4, 5)]) |
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236 graph1.nodes[1]["color"] = 0 |
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237 |
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238 graph2 = nx.Graph() |
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239 graph2.add_edges_from( |
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240 [(1, 2), (2, 3), (2, 4), (3, 4), (3, 5), (5, 6), (5, 7), (6, 7)] |
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241 ) |
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242 graph2.nodes[1]["color"] = 1 |
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243 graph2.nodes[6]["color"] = 2 |
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244 graph2.nodes[7]["color"] = 2 |
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245 |
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246 ismags = iso.ISMAGS( |
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247 graph1, graph2, node_match=iso.categorical_node_match("color", None) |
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248 ) |
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249 assert list(ismags.subgraph_isomorphisms_iter(True)) == [] |
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250 assert list(ismags.subgraph_isomorphisms_iter(False)) == [] |
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251 found_mcis = _matches_to_sets(ismags.largest_common_subgraph()) |
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252 expected = _matches_to_sets( |
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253 [{2: 2, 3: 4, 4: 3, 5: 5}, {2: 4, 3: 2, 4: 3, 5: 5}] |
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254 ) |
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255 assert expected == found_mcis |
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256 |
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257 ismags = iso.ISMAGS( |
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258 graph2, graph1, node_match=iso.categorical_node_match("color", None) |
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259 ) |
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260 assert list(ismags.subgraph_isomorphisms_iter(True)) == [] |
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261 assert list(ismags.subgraph_isomorphisms_iter(False)) == [] |
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262 found_mcis = _matches_to_sets(ismags.largest_common_subgraph()) |
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263 # Same answer, but reversed. |
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264 expected = _matches_to_sets( |
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265 [{2: 2, 3: 4, 4: 3, 5: 5}, {4: 2, 2: 3, 3: 4, 5: 5}] |
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266 ) |
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267 assert expected == found_mcis |
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268 |
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269 def test_symmetry_mcis(self): |
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270 graph1 = nx.Graph() |
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271 nx.add_path(graph1, range(4)) |
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272 |
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273 graph2 = nx.Graph() |
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274 nx.add_path(graph2, range(3)) |
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275 graph2.add_edge(1, 3) |
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276 |
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277 # Only the symmetry of graph2 is taken into account here. |
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278 ismags1 = iso.ISMAGS( |
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279 graph1, graph2, node_match=iso.categorical_node_match("color", None) |
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280 ) |
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281 assert list(ismags1.subgraph_isomorphisms_iter(True)) == [] |
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282 found_mcis = _matches_to_sets(ismags1.largest_common_subgraph()) |
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283 expected = _matches_to_sets([{0: 0, 1: 1, 2: 2}, {1: 0, 3: 2, 2: 1}]) |
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284 assert expected == found_mcis |
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285 |
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286 # Only the symmetry of graph1 is taken into account here. |
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287 ismags2 = iso.ISMAGS( |
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288 graph2, graph1, node_match=iso.categorical_node_match("color", None) |
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289 ) |
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290 assert list(ismags2.subgraph_isomorphisms_iter(True)) == [] |
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291 found_mcis = _matches_to_sets(ismags2.largest_common_subgraph()) |
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292 expected = _matches_to_sets( |
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293 [ |
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294 {3: 2, 0: 0, 1: 1}, |
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295 {2: 0, 0: 2, 1: 1}, |
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296 {3: 0, 0: 2, 1: 1}, |
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297 {3: 0, 1: 1, 2: 2}, |
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298 {0: 0, 1: 1, 2: 2}, |
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299 {2: 0, 3: 2, 1: 1}, |
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300 ] |
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301 ) |
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302 |
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303 assert expected == found_mcis |
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304 |
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305 found_mcis1 = _matches_to_sets(ismags1.largest_common_subgraph(False)) |
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306 found_mcis2 = ismags2.largest_common_subgraph(False) |
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307 found_mcis2 = [{v: k for k, v in d.items()} for d in found_mcis2] |
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308 found_mcis2 = _matches_to_sets(found_mcis2) |
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309 |
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310 expected = _matches_to_sets( |
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311 [ |
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312 {3: 2, 1: 3, 2: 1}, |
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313 {2: 0, 0: 2, 1: 1}, |
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314 {1: 2, 3: 3, 2: 1}, |
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315 {3: 0, 1: 3, 2: 1}, |
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316 {0: 2, 2: 3, 1: 1}, |
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317 {3: 0, 1: 2, 2: 1}, |
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318 {2: 0, 0: 3, 1: 1}, |
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319 {0: 0, 2: 3, 1: 1}, |
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320 {1: 0, 3: 3, 2: 1}, |
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321 {1: 0, 3: 2, 2: 1}, |
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322 {0: 3, 1: 1, 2: 2}, |
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323 {0: 0, 1: 1, 2: 2}, |
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324 ] |
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325 ) |
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326 assert expected == found_mcis1 |
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327 assert expected == found_mcis2 |