Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/connectivity/tests/test_disjoint_paths.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 |
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3 import networkx as nx |
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4 from networkx.algorithms import flow |
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5 from networkx.utils import pairwise |
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6 |
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7 flow_funcs = [ |
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8 flow.boykov_kolmogorov, |
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9 flow.edmonds_karp, |
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10 flow.dinitz, |
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11 flow.preflow_push, |
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12 flow.shortest_augmenting_path, |
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13 ] |
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14 |
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15 |
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16 def is_path(G, path): |
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17 return all(v in G[u] for u, v in pairwise(path)) |
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18 |
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19 |
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20 def are_edge_disjoint_paths(G, paths): |
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21 if not paths: |
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22 return False |
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23 for path in paths: |
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24 assert is_path(G, path) |
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25 paths_edges = [list(pairwise(p)) for p in paths] |
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26 num_of_edges = sum(len(e) for e in paths_edges) |
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27 num_unique_edges = len(set.union(*[set(es) for es in paths_edges])) |
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28 if num_of_edges == num_unique_edges: |
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29 return True |
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30 return False |
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31 |
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32 |
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33 def are_node_disjoint_paths(G, paths): |
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34 if not paths: |
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35 return False |
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36 for path in paths: |
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37 assert is_path(G, path) |
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38 # first and last nodes are source and target |
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39 st = {paths[0][0], paths[0][-1]} |
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40 num_of_nodes = len([n for path in paths for n in path if n not in st]) |
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41 num_unique_nodes = len({n for path in paths for n in path if n not in st}) |
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42 if num_of_nodes == num_unique_nodes: |
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43 return True |
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44 return False |
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45 |
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46 |
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47 def test_graph_from_pr_2053(): |
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48 G = nx.Graph() |
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49 G.add_edges_from( |
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50 [ |
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51 ("A", "B"), |
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52 ("A", "D"), |
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53 ("A", "F"), |
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54 ("A", "G"), |
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55 ("B", "C"), |
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56 ("B", "D"), |
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57 ("B", "G"), |
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58 ("C", "D"), |
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59 ("C", "E"), |
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60 ("C", "Z"), |
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61 ("D", "E"), |
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62 ("D", "F"), |
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63 ("E", "F"), |
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64 ("E", "Z"), |
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65 ("F", "Z"), |
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66 ("G", "Z"), |
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67 ] |
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68 ) |
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69 for flow_func in flow_funcs: |
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70 kwargs = dict(flow_func=flow_func) |
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71 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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72 # edge disjoint paths |
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73 edge_paths = list(nx.edge_disjoint_paths(G, "A", "Z", **kwargs)) |
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74 assert are_edge_disjoint_paths(G, edge_paths), errmsg |
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75 assert nx.edge_connectivity(G, "A", "Z") == len(edge_paths), errmsg |
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76 # node disjoint paths |
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77 node_paths = list(nx.node_disjoint_paths(G, "A", "Z", **kwargs)) |
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78 assert are_node_disjoint_paths(G, node_paths), errmsg |
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79 assert nx.node_connectivity(G, "A", "Z") == len(node_paths), errmsg |
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80 |
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81 |
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82 def test_florentine_families(): |
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83 G = nx.florentine_families_graph() |
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84 for flow_func in flow_funcs: |
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85 kwargs = dict(flow_func=flow_func) |
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86 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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87 # edge disjoint paths |
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88 edge_dpaths = list(nx.edge_disjoint_paths(G, "Medici", "Strozzi", **kwargs)) |
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89 assert are_edge_disjoint_paths(G, edge_dpaths), errmsg |
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90 assert nx.edge_connectivity(G, "Medici", "Strozzi") == len(edge_dpaths), errmsg |
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91 # node disjoint paths |
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92 node_dpaths = list(nx.node_disjoint_paths(G, "Medici", "Strozzi", **kwargs)) |
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93 assert are_node_disjoint_paths(G, node_dpaths), errmsg |
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94 assert nx.node_connectivity(G, "Medici", "Strozzi") == len(node_dpaths), errmsg |
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95 |
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96 |
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97 def test_karate(): |
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98 G = nx.karate_club_graph() |
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99 for flow_func in flow_funcs: |
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100 kwargs = dict(flow_func=flow_func) |
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101 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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102 # edge disjoint paths |
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103 edge_dpaths = list(nx.edge_disjoint_paths(G, 0, 33, **kwargs)) |
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104 assert are_edge_disjoint_paths(G, edge_dpaths), errmsg |
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105 assert nx.edge_connectivity(G, 0, 33) == len(edge_dpaths), errmsg |
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106 # node disjoint paths |
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107 node_dpaths = list(nx.node_disjoint_paths(G, 0, 33, **kwargs)) |
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108 assert are_node_disjoint_paths(G, node_dpaths), errmsg |
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109 assert nx.node_connectivity(G, 0, 33) == len(node_dpaths), errmsg |
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110 |
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111 |
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112 def test_petersen_disjoint_paths(): |
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113 G = nx.petersen_graph() |
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114 for flow_func in flow_funcs: |
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115 kwargs = dict(flow_func=flow_func) |
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116 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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117 # edge disjoint paths |
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118 edge_dpaths = list(nx.edge_disjoint_paths(G, 0, 6, **kwargs)) |
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119 assert are_edge_disjoint_paths(G, edge_dpaths), errmsg |
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120 assert 3 == len(edge_dpaths), errmsg |
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121 # node disjoint paths |
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122 node_dpaths = list(nx.node_disjoint_paths(G, 0, 6, **kwargs)) |
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123 assert are_node_disjoint_paths(G, node_dpaths), errmsg |
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124 assert 3 == len(node_dpaths), errmsg |
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125 |
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126 |
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127 def test_octahedral_disjoint_paths(): |
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128 G = nx.octahedral_graph() |
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129 for flow_func in flow_funcs: |
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130 kwargs = dict(flow_func=flow_func) |
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131 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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132 # edge disjoint paths |
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133 edge_dpaths = list(nx.edge_disjoint_paths(G, 0, 5, **kwargs)) |
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134 assert are_edge_disjoint_paths(G, edge_dpaths), errmsg |
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135 assert 4 == len(edge_dpaths), errmsg |
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136 # node disjoint paths |
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137 node_dpaths = list(nx.node_disjoint_paths(G, 0, 5, **kwargs)) |
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138 assert are_node_disjoint_paths(G, node_dpaths), errmsg |
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139 assert 4 == len(node_dpaths), errmsg |
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140 |
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141 |
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142 def test_icosahedral_disjoint_paths(): |
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143 G = nx.icosahedral_graph() |
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144 for flow_func in flow_funcs: |
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145 kwargs = dict(flow_func=flow_func) |
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146 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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147 # edge disjoint paths |
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148 edge_dpaths = list(nx.edge_disjoint_paths(G, 0, 6, **kwargs)) |
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149 assert are_edge_disjoint_paths(G, edge_dpaths), errmsg |
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150 assert 5 == len(edge_dpaths), errmsg |
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151 # node disjoint paths |
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152 node_dpaths = list(nx.node_disjoint_paths(G, 0, 6, **kwargs)) |
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153 assert are_node_disjoint_paths(G, node_dpaths), errmsg |
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154 assert 5 == len(node_dpaths), errmsg |
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155 |
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156 |
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157 def test_cutoff_disjoint_paths(): |
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158 G = nx.icosahedral_graph() |
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159 for flow_func in flow_funcs: |
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160 kwargs = dict(flow_func=flow_func) |
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161 errmsg = f"Assertion failed in function: {flow_func.__name__}" |
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162 for cutoff in [2, 4]: |
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163 kwargs["cutoff"] = cutoff |
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164 # edge disjoint paths |
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165 edge_dpaths = list(nx.edge_disjoint_paths(G, 0, 6, **kwargs)) |
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166 assert are_edge_disjoint_paths(G, edge_dpaths), errmsg |
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167 assert cutoff == len(edge_dpaths), errmsg |
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168 # node disjoint paths |
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169 node_dpaths = list(nx.node_disjoint_paths(G, 0, 6, **kwargs)) |
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170 assert are_node_disjoint_paths(G, node_dpaths), errmsg |
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171 assert cutoff == len(node_dpaths), errmsg |
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172 |
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173 |
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174 def test_missing_source_edge_paths(): |
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175 with pytest.raises(nx.NetworkXError): |
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176 G = nx.path_graph(4) |
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177 list(nx.edge_disjoint_paths(G, 10, 1)) |
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178 |
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179 |
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180 def test_missing_source_node_paths(): |
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181 with pytest.raises(nx.NetworkXError): |
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182 G = nx.path_graph(4) |
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183 list(nx.node_disjoint_paths(G, 10, 1)) |
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184 |
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185 |
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186 def test_missing_target_edge_paths(): |
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187 with pytest.raises(nx.NetworkXError): |
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188 G = nx.path_graph(4) |
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189 list(nx.edge_disjoint_paths(G, 1, 10)) |
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190 |
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191 |
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192 def test_missing_target_node_paths(): |
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193 with pytest.raises(nx.NetworkXError): |
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194 G = nx.path_graph(4) |
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195 list(nx.node_disjoint_paths(G, 1, 10)) |
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196 |
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197 |
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198 def test_not_weakly_connected_edges(): |
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199 with pytest.raises(nx.NetworkXNoPath): |
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200 G = nx.DiGraph() |
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201 nx.add_path(G, [1, 2, 3]) |
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202 nx.add_path(G, [4, 5]) |
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203 list(nx.edge_disjoint_paths(G, 1, 5)) |
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204 |
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205 |
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206 def test_not_weakly_connected_nodes(): |
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207 with pytest.raises(nx.NetworkXNoPath): |
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208 G = nx.DiGraph() |
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209 nx.add_path(G, [1, 2, 3]) |
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210 nx.add_path(G, [4, 5]) |
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211 list(nx.node_disjoint_paths(G, 1, 5)) |
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212 |
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213 |
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214 def test_not_connected_edges(): |
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215 with pytest.raises(nx.NetworkXNoPath): |
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216 G = nx.Graph() |
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217 nx.add_path(G, [1, 2, 3]) |
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218 nx.add_path(G, [4, 5]) |
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219 list(nx.edge_disjoint_paths(G, 1, 5)) |
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220 |
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221 |
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222 def test_not_connected_nodes(): |
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223 with pytest.raises(nx.NetworkXNoPath): |
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224 G = nx.Graph() |
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225 nx.add_path(G, [1, 2, 3]) |
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226 nx.add_path(G, [4, 5]) |
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227 list(nx.node_disjoint_paths(G, 1, 5)) |
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228 |
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229 |
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230 def test_isolated_edges(): |
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231 with pytest.raises(nx.NetworkXNoPath): |
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232 G = nx.Graph() |
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233 G.add_node(1) |
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234 nx.add_path(G, [4, 5]) |
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235 list(nx.edge_disjoint_paths(G, 1, 5)) |
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236 |
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237 |
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238 def test_isolated_nodes(): |
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239 with pytest.raises(nx.NetworkXNoPath): |
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240 G = nx.Graph() |
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241 G.add_node(1) |
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242 nx.add_path(G, [4, 5]) |
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243 list(nx.node_disjoint_paths(G, 1, 5)) |
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244 |
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245 |
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246 def test_invalid_auxiliary(): |
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247 with pytest.raises(nx.NetworkXError): |
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248 G = nx.complete_graph(5) |
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249 list(nx.node_disjoint_paths(G, 0, 3, auxiliary=G)) |