Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/tests/test_simple_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 random |
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2 |
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3 import pytest |
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4 |
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5 import networkx as nx |
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6 from networkx import convert_node_labels_to_integers as cnlti |
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7 from networkx.algorithms.simple_paths import _bidirectional_dijkstra |
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8 from networkx.algorithms.simple_paths import _bidirectional_shortest_path |
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9 from networkx.utils import arbitrary_element |
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10 from networkx.utils import pairwise |
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11 |
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12 |
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13 class TestIsSimplePath: |
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14 """Unit tests for the |
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15 :func:`networkx.algorithms.simple_paths.is_simple_path` function. |
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16 |
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17 """ |
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18 |
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19 def test_empty_list(self): |
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20 """Tests that the empty list is not a valid path, since there |
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21 should be a one-to-one correspondence between paths as lists of |
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22 nodes and paths as lists of edges. |
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23 |
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24 """ |
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25 G = nx.trivial_graph() |
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26 assert not nx.is_simple_path(G, []) |
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27 |
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28 def test_trivial_path(self): |
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29 """Tests that the trivial path, a path of length one, is |
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30 considered a simple path in a graph. |
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31 |
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32 """ |
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33 G = nx.trivial_graph() |
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34 assert nx.is_simple_path(G, [0]) |
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35 |
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36 def test_trivial_nonpath(self): |
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37 """Tests that a list whose sole element is an object not in the |
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38 graph is not considered a simple path. |
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39 |
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40 """ |
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41 G = nx.trivial_graph() |
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42 assert not nx.is_simple_path(G, ["not a node"]) |
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43 |
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44 def test_simple_path(self): |
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45 G = nx.path_graph(2) |
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46 assert nx.is_simple_path(G, [0, 1]) |
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47 |
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48 def test_non_simple_path(self): |
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49 G = nx.path_graph(2) |
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50 assert not nx.is_simple_path(G, [0, 1, 0]) |
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51 |
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52 def test_cycle(self): |
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53 G = nx.cycle_graph(3) |
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54 assert not nx.is_simple_path(G, [0, 1, 2, 0]) |
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55 |
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56 def test_missing_node(self): |
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57 G = nx.path_graph(2) |
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58 assert not nx.is_simple_path(G, [0, 2]) |
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59 |
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60 def test_directed_path(self): |
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61 G = nx.DiGraph([(0, 1), (1, 2)]) |
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62 assert nx.is_simple_path(G, [0, 1, 2]) |
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63 |
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64 def test_directed_non_path(self): |
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65 G = nx.DiGraph([(0, 1), (1, 2)]) |
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66 assert not nx.is_simple_path(G, [2, 1, 0]) |
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67 |
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68 def test_directed_cycle(self): |
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69 G = nx.DiGraph([(0, 1), (1, 2), (2, 0)]) |
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70 assert not nx.is_simple_path(G, [0, 1, 2, 0]) |
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71 |
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72 def test_multigraph(self): |
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73 G = nx.MultiGraph([(0, 1), (0, 1)]) |
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74 assert nx.is_simple_path(G, [0, 1]) |
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75 |
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76 def test_multidigraph(self): |
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77 G = nx.MultiDiGraph([(0, 1), (0, 1), (1, 0), (1, 0)]) |
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78 assert nx.is_simple_path(G, [0, 1]) |
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79 |
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80 |
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81 # Tests for all_simple_paths |
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82 def test_all_simple_paths(): |
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83 G = nx.path_graph(4) |
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84 paths = nx.all_simple_paths(G, 0, 3) |
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85 assert {tuple(p) for p in paths} == {(0, 1, 2, 3)} |
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86 |
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87 |
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88 def test_all_simple_paths_with_two_targets_emits_two_paths(): |
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89 G = nx.path_graph(4) |
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90 G.add_edge(2, 4) |
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91 paths = nx.all_simple_paths(G, 0, [3, 4]) |
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92 assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)} |
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93 |
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94 |
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95 def test_digraph_all_simple_paths_with_two_targets_emits_two_paths(): |
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96 G = nx.path_graph(4, create_using=nx.DiGraph()) |
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97 G.add_edge(2, 4) |
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98 paths = nx.all_simple_paths(G, 0, [3, 4]) |
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99 assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)} |
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100 |
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101 |
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102 def test_all_simple_paths_with_two_targets_cutoff(): |
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103 G = nx.path_graph(4) |
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104 G.add_edge(2, 4) |
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105 paths = nx.all_simple_paths(G, 0, [3, 4], cutoff=3) |
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106 assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)} |
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107 |
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108 |
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109 def test_digraph_all_simple_paths_with_two_targets_cutoff(): |
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110 G = nx.path_graph(4, create_using=nx.DiGraph()) |
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111 G.add_edge(2, 4) |
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112 paths = nx.all_simple_paths(G, 0, [3, 4], cutoff=3) |
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113 assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)} |
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114 |
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115 |
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116 def test_all_simple_paths_with_two_targets_in_line_emits_two_paths(): |
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117 G = nx.path_graph(4) |
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118 paths = nx.all_simple_paths(G, 0, [2, 3]) |
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119 assert {tuple(p) for p in paths} == {(0, 1, 2), (0, 1, 2, 3)} |
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120 |
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121 |
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122 def test_all_simple_paths_ignores_cycle(): |
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123 G = nx.cycle_graph(3, create_using=nx.DiGraph()) |
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124 G.add_edge(1, 3) |
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125 paths = nx.all_simple_paths(G, 0, 3) |
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126 assert {tuple(p) for p in paths} == {(0, 1, 3)} |
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127 |
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128 |
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129 def test_all_simple_paths_with_two_targets_inside_cycle_emits_two_paths(): |
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130 G = nx.cycle_graph(3, create_using=nx.DiGraph()) |
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131 G.add_edge(1, 3) |
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132 paths = nx.all_simple_paths(G, 0, [2, 3]) |
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133 assert {tuple(p) for p in paths} == {(0, 1, 2), (0, 1, 3)} |
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134 |
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135 |
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136 def test_all_simple_paths_source_target(): |
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137 G = nx.path_graph(4) |
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138 paths = nx.all_simple_paths(G, 1, 1) |
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139 assert list(paths) == [] |
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140 |
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141 |
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142 def test_all_simple_paths_cutoff(): |
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143 G = nx.complete_graph(4) |
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144 paths = nx.all_simple_paths(G, 0, 1, cutoff=1) |
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145 assert {tuple(p) for p in paths} == {(0, 1)} |
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146 paths = nx.all_simple_paths(G, 0, 1, cutoff=2) |
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147 assert {tuple(p) for p in paths} == {(0, 1), (0, 2, 1), (0, 3, 1)} |
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148 |
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149 |
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150 def test_all_simple_paths_on_non_trivial_graph(): |
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151 """ you may need to draw this graph to make sure it is reasonable """ |
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152 G = nx.path_graph(5, create_using=nx.DiGraph()) |
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153 G.add_edges_from([(0, 5), (1, 5), (1, 3), (5, 4), (4, 2), (4, 3)]) |
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154 paths = nx.all_simple_paths(G, 1, [2, 3]) |
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155 assert {tuple(p) for p in paths} == { |
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156 (1, 2), |
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157 (1, 3, 4, 2), |
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158 (1, 5, 4, 2), |
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159 (1, 3), |
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160 (1, 2, 3), |
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161 (1, 5, 4, 3), |
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162 (1, 5, 4, 2, 3), |
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163 } |
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164 paths = nx.all_simple_paths(G, 1, [2, 3], cutoff=3) |
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165 assert {tuple(p) for p in paths} == { |
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166 (1, 2), |
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167 (1, 3, 4, 2), |
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168 (1, 5, 4, 2), |
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169 (1, 3), |
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170 (1, 2, 3), |
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171 (1, 5, 4, 3), |
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172 } |
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173 paths = nx.all_simple_paths(G, 1, [2, 3], cutoff=2) |
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174 assert {tuple(p) for p in paths} == {(1, 2), (1, 3), (1, 2, 3)} |
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175 |
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176 |
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177 def test_all_simple_paths_multigraph(): |
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178 G = nx.MultiGraph([(1, 2), (1, 2)]) |
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179 paths = nx.all_simple_paths(G, 1, 1) |
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180 assert list(paths) == [] |
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181 nx.add_path(G, [3, 1, 10, 2]) |
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182 paths = list(nx.all_simple_paths(G, 1, 2)) |
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183 assert len(paths) == 3 |
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184 assert {tuple(p) for p in paths} == {(1, 2), (1, 2), (1, 10, 2)} |
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185 |
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186 |
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187 def test_all_simple_paths_multigraph_with_cutoff(): |
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188 G = nx.MultiGraph([(1, 2), (1, 2), (1, 10), (10, 2)]) |
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189 paths = list(nx.all_simple_paths(G, 1, 2, cutoff=1)) |
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190 assert len(paths) == 2 |
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191 assert {tuple(p) for p in paths} == {(1, 2), (1, 2)} |
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192 |
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193 |
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194 def test_all_simple_paths_directed(): |
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195 G = nx.DiGraph() |
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196 nx.add_path(G, [1, 2, 3]) |
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197 nx.add_path(G, [3, 2, 1]) |
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198 paths = nx.all_simple_paths(G, 1, 3) |
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199 assert {tuple(p) for p in paths} == {(1, 2, 3)} |
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200 |
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201 |
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202 def test_all_simple_paths_empty(): |
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203 G = nx.path_graph(4) |
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204 paths = nx.all_simple_paths(G, 0, 3, cutoff=2) |
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205 assert list(paths) == [] |
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206 |
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207 |
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208 def test_all_simple_paths_corner_cases(): |
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209 assert list(nx.all_simple_paths(nx.empty_graph(2), 0, 0)) == [] |
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210 assert list(nx.all_simple_paths(nx.empty_graph(2), 0, 1)) == [] |
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211 assert list(nx.all_simple_paths(nx.path_graph(9), 0, 8, 0)) == [] |
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212 |
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213 |
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214 def hamiltonian_path(G, source): |
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215 source = arbitrary_element(G) |
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216 neighbors = set(G[source]) - {source} |
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217 n = len(G) |
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218 for target in neighbors: |
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219 for path in nx.all_simple_paths(G, source, target): |
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220 if len(path) == n: |
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221 yield path |
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222 |
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223 |
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224 def test_hamiltonian_path(): |
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225 from itertools import permutations |
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226 |
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227 G = nx.complete_graph(4) |
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228 paths = [list(p) for p in hamiltonian_path(G, 0)] |
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229 exact = [[0] + list(p) for p in permutations([1, 2, 3], 3)] |
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230 assert sorted(paths) == sorted(exact) |
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231 |
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232 |
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233 def test_cutoff_zero(): |
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234 G = nx.complete_graph(4) |
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235 paths = nx.all_simple_paths(G, 0, 3, cutoff=0) |
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236 assert list(list(p) for p in paths) == [] |
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237 paths = nx.all_simple_paths(nx.MultiGraph(G), 0, 3, cutoff=0) |
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238 assert list(list(p) for p in paths) == [] |
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239 |
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240 |
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241 def test_source_missing(): |
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242 with pytest.raises(nx.NodeNotFound): |
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243 G = nx.Graph() |
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244 nx.add_path(G, [1, 2, 3]) |
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245 list(nx.all_simple_paths(nx.MultiGraph(G), 0, 3)) |
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246 |
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247 |
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248 def test_target_missing(): |
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249 with pytest.raises(nx.NodeNotFound): |
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250 G = nx.Graph() |
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251 nx.add_path(G, [1, 2, 3]) |
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252 list(nx.all_simple_paths(nx.MultiGraph(G), 1, 4)) |
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253 |
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254 |
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255 # Tests for all_simple_edge_paths |
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256 def test_all_simple_edge_paths(): |
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257 G = nx.path_graph(4) |
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258 paths = nx.all_simple_edge_paths(G, 0, 3) |
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259 assert {tuple(p) for p in paths} == {((0, 1), (1, 2), (2, 3))} |
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260 |
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261 |
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262 def test_all_simple_edge_paths_with_two_targets_emits_two_paths(): |
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263 G = nx.path_graph(4) |
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264 G.add_edge(2, 4) |
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265 paths = nx.all_simple_edge_paths(G, 0, [3, 4]) |
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266 assert {tuple(p) for p in paths} == { |
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267 ((0, 1), (1, 2), (2, 3)), |
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268 ((0, 1), (1, 2), (2, 4)), |
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269 } |
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270 |
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271 |
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272 def test_digraph_all_simple_edge_paths_with_two_targets_emits_two_paths(): |
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273 G = nx.path_graph(4, create_using=nx.DiGraph()) |
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274 G.add_edge(2, 4) |
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275 paths = nx.all_simple_edge_paths(G, 0, [3, 4]) |
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276 assert {tuple(p) for p in paths} == { |
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277 ((0, 1), (1, 2), (2, 3)), |
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278 ((0, 1), (1, 2), (2, 4)), |
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279 } |
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280 |
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281 |
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282 def test_all_simple_edge_paths_with_two_targets_cutoff(): |
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283 G = nx.path_graph(4) |
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284 G.add_edge(2, 4) |
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285 paths = nx.all_simple_edge_paths(G, 0, [3, 4], cutoff=3) |
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286 assert {tuple(p) for p in paths} == { |
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287 ((0, 1), (1, 2), (2, 3)), |
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288 ((0, 1), (1, 2), (2, 4)), |
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289 } |
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290 |
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291 |
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292 def test_digraph_all_simple_edge_paths_with_two_targets_cutoff(): |
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293 G = nx.path_graph(4, create_using=nx.DiGraph()) |
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294 G.add_edge(2, 4) |
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295 paths = nx.all_simple_edge_paths(G, 0, [3, 4], cutoff=3) |
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296 assert {tuple(p) for p in paths} == { |
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297 ((0, 1), (1, 2), (2, 3)), |
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298 ((0, 1), (1, 2), (2, 4)), |
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299 } |
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300 |
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301 |
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302 def test_all_simple_edge_paths_with_two_targets_in_line_emits_two_paths(): |
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303 G = nx.path_graph(4) |
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304 paths = nx.all_simple_edge_paths(G, 0, [2, 3]) |
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305 assert {tuple(p) for p in paths} == {((0, 1), (1, 2)), ((0, 1), (1, 2), (2, 3))} |
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306 |
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307 |
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308 def test_all_simple_edge_paths_ignores_cycle(): |
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309 G = nx.cycle_graph(3, create_using=nx.DiGraph()) |
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310 G.add_edge(1, 3) |
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311 paths = nx.all_simple_edge_paths(G, 0, 3) |
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312 assert {tuple(p) for p in paths} == {((0, 1), (1, 3))} |
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313 |
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314 |
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315 def test_all_simple_edge_paths_with_two_targets_inside_cycle_emits_two_paths(): |
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316 G = nx.cycle_graph(3, create_using=nx.DiGraph()) |
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317 G.add_edge(1, 3) |
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318 paths = nx.all_simple_edge_paths(G, 0, [2, 3]) |
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319 assert {tuple(p) for p in paths} == {((0, 1), (1, 2)), ((0, 1), (1, 3))} |
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320 |
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321 |
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322 def test_all_simple_edge_paths_source_target(): |
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323 G = nx.path_graph(4) |
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324 paths = nx.all_simple_edge_paths(G, 1, 1) |
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325 assert list(paths) == [] |
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326 |
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327 |
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328 def test_all_simple_edge_paths_cutoff(): |
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329 G = nx.complete_graph(4) |
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330 paths = nx.all_simple_edge_paths(G, 0, 1, cutoff=1) |
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331 assert {tuple(p) for p in paths} == {((0, 1),)} |
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332 paths = nx.all_simple_edge_paths(G, 0, 1, cutoff=2) |
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333 assert {tuple(p) for p in paths} == {((0, 1),), ((0, 2), (2, 1)), ((0, 3), (3, 1))} |
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334 |
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335 |
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336 def test_all_simple_edge_paths_on_non_trivial_graph(): |
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337 """ you may need to draw this graph to make sure it is reasonable """ |
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338 G = nx.path_graph(5, create_using=nx.DiGraph()) |
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339 G.add_edges_from([(0, 5), (1, 5), (1, 3), (5, 4), (4, 2), (4, 3)]) |
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340 paths = nx.all_simple_edge_paths(G, 1, [2, 3]) |
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341 assert {tuple(p) for p in paths} == { |
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342 ((1, 2),), |
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343 ((1, 3), (3, 4), (4, 2)), |
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344 ((1, 5), (5, 4), (4, 2)), |
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345 ((1, 3),), |
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346 ((1, 2), (2, 3)), |
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347 ((1, 5), (5, 4), (4, 3)), |
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348 ((1, 5), (5, 4), (4, 2), (2, 3)), |
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349 } |
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350 paths = nx.all_simple_edge_paths(G, 1, [2, 3], cutoff=3) |
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351 assert {tuple(p) for p in paths} == { |
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352 ((1, 2),), |
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353 ((1, 3), (3, 4), (4, 2)), |
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354 ((1, 5), (5, 4), (4, 2)), |
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355 ((1, 3),), |
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356 ((1, 2), (2, 3)), |
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357 ((1, 5), (5, 4), (4, 3)), |
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358 } |
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359 paths = nx.all_simple_edge_paths(G, 1, [2, 3], cutoff=2) |
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360 assert {tuple(p) for p in paths} == {((1, 2),), ((1, 3),), ((1, 2), (2, 3))} |
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361 |
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362 |
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363 def test_all_simple_edge_paths_multigraph(): |
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364 G = nx.MultiGraph([(1, 2), (1, 2)]) |
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365 paths = nx.all_simple_edge_paths(G, 1, 1) |
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366 assert list(paths) == [] |
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367 nx.add_path(G, [3, 1, 10, 2]) |
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368 paths = list(nx.all_simple_edge_paths(G, 1, 2)) |
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369 assert len(paths) == 3 |
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370 assert {tuple(p) for p in paths} == { |
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371 ((1, 2, 0),), |
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372 ((1, 2, 1),), |
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373 ((1, 10, 0), (10, 2, 0)), |
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374 } |
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375 |
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376 |
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377 def test_all_simple_edge_paths_multigraph_with_cutoff(): |
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378 G = nx.MultiGraph([(1, 2), (1, 2), (1, 10), (10, 2)]) |
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379 paths = list(nx.all_simple_edge_paths(G, 1, 2, cutoff=1)) |
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380 assert len(paths) == 2 |
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381 assert {tuple(p) for p in paths} == {((1, 2, 0),), ((1, 2, 1),)} |
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382 |
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383 |
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384 def test_all_simple_edge_paths_directed(): |
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385 G = nx.DiGraph() |
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386 nx.add_path(G, [1, 2, 3]) |
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387 nx.add_path(G, [3, 2, 1]) |
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388 paths = nx.all_simple_edge_paths(G, 1, 3) |
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389 assert {tuple(p) for p in paths} == {((1, 2), (2, 3))} |
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390 |
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391 |
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392 def test_all_simple_edge_paths_empty(): |
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393 G = nx.path_graph(4) |
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394 paths = nx.all_simple_edge_paths(G, 0, 3, cutoff=2) |
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395 assert list(paths) == [] |
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396 |
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397 |
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398 def test_all_simple_edge_paths_corner_cases(): |
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399 assert list(nx.all_simple_edge_paths(nx.empty_graph(2), 0, 0)) == [] |
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400 assert list(nx.all_simple_edge_paths(nx.empty_graph(2), 0, 1)) == [] |
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401 assert list(nx.all_simple_edge_paths(nx.path_graph(9), 0, 8, 0)) == [] |
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402 |
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403 |
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404 def hamiltonian_edge_path(G, source): |
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405 source = arbitrary_element(G) |
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406 neighbors = set(G[source]) - {source} |
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407 n = len(G) |
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408 for target in neighbors: |
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409 for path in nx.all_simple_edge_paths(G, source, target): |
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410 if len(path) == n - 1: |
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411 yield path |
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412 |
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413 |
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414 def test_hamiltonian__edge_path(): |
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415 from itertools import permutations |
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416 |
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417 G = nx.complete_graph(4) |
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418 paths = hamiltonian_edge_path(G, 0) |
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419 exact = [list(pairwise([0] + list(p))) for p in permutations([1, 2, 3], 3)] |
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420 assert sorted(exact) == [p for p in sorted(paths)] |
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421 |
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422 |
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423 def test_edge_cutoff_zero(): |
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424 G = nx.complete_graph(4) |
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425 paths = nx.all_simple_edge_paths(G, 0, 3, cutoff=0) |
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426 assert list(list(p) for p in paths) == [] |
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427 paths = nx.all_simple_edge_paths(nx.MultiGraph(G), 0, 3, cutoff=0) |
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428 assert list(list(p) for p in paths) == [] |
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429 |
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430 |
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431 def test_edge_source_missing(): |
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432 with pytest.raises(nx.NodeNotFound): |
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433 G = nx.Graph() |
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434 nx.add_path(G, [1, 2, 3]) |
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435 list(nx.all_simple_edge_paths(nx.MultiGraph(G), 0, 3)) |
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436 |
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437 |
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438 def test_edge_target_missing(): |
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439 with pytest.raises(nx.NodeNotFound): |
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440 G = nx.Graph() |
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441 nx.add_path(G, [1, 2, 3]) |
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442 list(nx.all_simple_edge_paths(nx.MultiGraph(G), 1, 4)) |
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443 |
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444 |
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445 # Tests for shortest_simple_paths |
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446 def test_shortest_simple_paths(): |
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447 G = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted") |
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448 paths = nx.shortest_simple_paths(G, 1, 12) |
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449 assert next(paths) == [1, 2, 3, 4, 8, 12] |
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450 assert next(paths) == [1, 5, 6, 7, 8, 12] |
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451 assert [len(path) for path in nx.shortest_simple_paths(G, 1, 12)] == sorted( |
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452 [len(path) for path in nx.all_simple_paths(G, 1, 12)] |
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453 ) |
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454 |
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455 |
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456 def test_shortest_simple_paths_directed(): |
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457 G = nx.cycle_graph(7, create_using=nx.DiGraph()) |
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458 paths = nx.shortest_simple_paths(G, 0, 3) |
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459 assert [path for path in paths] == [[0, 1, 2, 3]] |
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460 |
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461 |
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462 def test_shortest_simple_paths_directed_with_weight_fucntion(): |
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463 def cost(u, v, x): |
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464 return 1 |
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465 |
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466 G = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted") |
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467 paths = nx.shortest_simple_paths(G, 1, 12) |
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468 assert next(paths) == [1, 2, 3, 4, 8, 12] |
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469 assert next(paths) == [1, 5, 6, 7, 8, 12] |
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470 assert [ |
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471 len(path) for path in nx.shortest_simple_paths(G, 1, 12, weight=cost) |
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472 ] == sorted([len(path) for path in nx.all_simple_paths(G, 1, 12)]) |
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473 |
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474 |
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475 def test_shortest_simple_paths_with_weight_fucntion(): |
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476 def cost(u, v, x): |
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477 return 1 |
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478 |
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479 G = nx.cycle_graph(7, create_using=nx.DiGraph()) |
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480 paths = nx.shortest_simple_paths(G, 0, 3, weight=cost) |
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481 assert [path for path in paths] == [[0, 1, 2, 3]] |
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482 |
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483 |
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484 def test_Greg_Bernstein(): |
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485 g1 = nx.Graph() |
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486 g1.add_nodes_from(["N0", "N1", "N2", "N3", "N4"]) |
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487 g1.add_edge("N4", "N1", weight=10.0, capacity=50, name="L5") |
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488 g1.add_edge("N4", "N0", weight=7.0, capacity=40, name="L4") |
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489 g1.add_edge("N0", "N1", weight=10.0, capacity=45, name="L1") |
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490 g1.add_edge("N3", "N0", weight=10.0, capacity=50, name="L0") |
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491 g1.add_edge("N2", "N3", weight=12.0, capacity=30, name="L2") |
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492 g1.add_edge("N1", "N2", weight=15.0, capacity=42, name="L3") |
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493 solution = [["N1", "N0", "N3"], ["N1", "N2", "N3"], ["N1", "N4", "N0", "N3"]] |
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494 result = list(nx.shortest_simple_paths(g1, "N1", "N3", weight="weight")) |
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495 assert result == solution |
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496 |
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497 |
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498 def test_weighted_shortest_simple_path(): |
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499 def cost_func(path): |
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500 return sum(G.adj[u][v]["weight"] for (u, v) in zip(path, path[1:])) |
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501 |
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502 G = nx.complete_graph(5) |
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503 weight = {(u, v): random.randint(1, 100) for (u, v) in G.edges()} |
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504 nx.set_edge_attributes(G, weight, "weight") |
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505 cost = 0 |
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506 for path in nx.shortest_simple_paths(G, 0, 3, weight="weight"): |
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507 this_cost = cost_func(path) |
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508 assert cost <= this_cost |
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509 cost = this_cost |
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510 |
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511 |
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512 def test_directed_weighted_shortest_simple_path(): |
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513 def cost_func(path): |
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514 return sum(G.adj[u][v]["weight"] for (u, v) in zip(path, path[1:])) |
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515 |
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516 G = nx.complete_graph(5) |
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517 G = G.to_directed() |
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518 weight = {(u, v): random.randint(1, 100) for (u, v) in G.edges()} |
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519 nx.set_edge_attributes(G, weight, "weight") |
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520 cost = 0 |
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521 for path in nx.shortest_simple_paths(G, 0, 3, weight="weight"): |
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522 this_cost = cost_func(path) |
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523 assert cost <= this_cost |
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524 cost = this_cost |
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525 |
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526 |
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527 def test_weighted_shortest_simple_path_issue2427(): |
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528 G = nx.Graph() |
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529 G.add_edge("IN", "OUT", weight=2) |
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530 G.add_edge("IN", "A", weight=1) |
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531 G.add_edge("IN", "B", weight=2) |
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532 G.add_edge("B", "OUT", weight=2) |
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533 assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [ |
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534 ["IN", "OUT"], |
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535 ["IN", "B", "OUT"], |
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536 ] |
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537 G = nx.Graph() |
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538 G.add_edge("IN", "OUT", weight=10) |
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539 G.add_edge("IN", "A", weight=1) |
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540 G.add_edge("IN", "B", weight=1) |
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541 G.add_edge("B", "OUT", weight=1) |
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542 assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [ |
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543 ["IN", "B", "OUT"], |
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544 ["IN", "OUT"], |
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545 ] |
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546 |
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547 |
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548 def test_directed_weighted_shortest_simple_path_issue2427(): |
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549 G = nx.DiGraph() |
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550 G.add_edge("IN", "OUT", weight=2) |
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551 G.add_edge("IN", "A", weight=1) |
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552 G.add_edge("IN", "B", weight=2) |
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553 G.add_edge("B", "OUT", weight=2) |
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554 assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [ |
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555 ["IN", "OUT"], |
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556 ["IN", "B", "OUT"], |
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557 ] |
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558 G = nx.DiGraph() |
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559 G.add_edge("IN", "OUT", weight=10) |
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560 G.add_edge("IN", "A", weight=1) |
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561 G.add_edge("IN", "B", weight=1) |
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562 G.add_edge("B", "OUT", weight=1) |
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563 assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [ |
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564 ["IN", "B", "OUT"], |
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565 ["IN", "OUT"], |
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566 ] |
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567 |
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568 |
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569 def test_weight_name(): |
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570 G = nx.cycle_graph(7) |
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571 nx.set_edge_attributes(G, 1, "weight") |
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572 nx.set_edge_attributes(G, 1, "foo") |
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573 G.adj[1][2]["foo"] = 7 |
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574 paths = list(nx.shortest_simple_paths(G, 0, 3, weight="foo")) |
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575 solution = [[0, 6, 5, 4, 3], [0, 1, 2, 3]] |
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576 assert paths == solution |
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577 |
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578 |
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579 def test_ssp_source_missing(): |
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580 with pytest.raises(nx.NodeNotFound): |
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581 G = nx.Graph() |
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582 nx.add_path(G, [1, 2, 3]) |
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583 list(nx.shortest_simple_paths(G, 0, 3)) |
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584 |
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585 |
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586 def test_ssp_target_missing(): |
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587 with pytest.raises(nx.NodeNotFound): |
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588 G = nx.Graph() |
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589 nx.add_path(G, [1, 2, 3]) |
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590 list(nx.shortest_simple_paths(G, 1, 4)) |
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591 |
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592 |
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593 def test_ssp_multigraph(): |
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594 with pytest.raises(nx.NetworkXNotImplemented): |
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595 G = nx.MultiGraph() |
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596 nx.add_path(G, [1, 2, 3]) |
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597 list(nx.shortest_simple_paths(G, 1, 4)) |
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598 |
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599 |
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600 def test_ssp_source_missing2(): |
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601 with pytest.raises(nx.NetworkXNoPath): |
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602 G = nx.Graph() |
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603 nx.add_path(G, [0, 1, 2]) |
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604 nx.add_path(G, [3, 4, 5]) |
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605 list(nx.shortest_simple_paths(G, 0, 3)) |
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606 |
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607 |
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608 def test_bidirectional_shortest_path_restricted_cycle(): |
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609 cycle = nx.cycle_graph(7) |
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610 length, path = _bidirectional_shortest_path(cycle, 0, 3) |
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611 assert path == [0, 1, 2, 3] |
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612 length, path = _bidirectional_shortest_path(cycle, 0, 3, ignore_nodes=[1]) |
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613 assert path == [0, 6, 5, 4, 3] |
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614 |
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615 |
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616 def test_bidirectional_shortest_path_restricted_wheel(): |
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617 wheel = nx.wheel_graph(6) |
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618 length, path = _bidirectional_shortest_path(wheel, 1, 3) |
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619 assert path in [[1, 0, 3], [1, 2, 3]] |
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620 length, path = _bidirectional_shortest_path(wheel, 1, 3, ignore_nodes=[0]) |
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621 assert path == [1, 2, 3] |
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622 length, path = _bidirectional_shortest_path(wheel, 1, 3, ignore_nodes=[0, 2]) |
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623 assert path == [1, 5, 4, 3] |
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624 length, path = _bidirectional_shortest_path( |
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625 wheel, 1, 3, ignore_edges=[(1, 0), (5, 0), (2, 3)] |
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626 ) |
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627 assert path in [[1, 2, 0, 3], [1, 5, 4, 3]] |
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628 |
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629 |
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630 def test_bidirectional_shortest_path_restricted_directed_cycle(): |
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631 directed_cycle = nx.cycle_graph(7, create_using=nx.DiGraph()) |
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632 length, path = _bidirectional_shortest_path(directed_cycle, 0, 3) |
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633 assert path == [0, 1, 2, 3] |
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634 pytest.raises( |
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635 nx.NetworkXNoPath, |
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636 _bidirectional_shortest_path, |
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637 directed_cycle, |
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638 0, |
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639 3, |
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640 ignore_nodes=[1], |
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641 ) |
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642 length, path = _bidirectional_shortest_path( |
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643 directed_cycle, 0, 3, ignore_edges=[(2, 1)] |
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644 ) |
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645 assert path == [0, 1, 2, 3] |
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646 pytest.raises( |
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647 nx.NetworkXNoPath, |
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648 _bidirectional_shortest_path, |
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649 directed_cycle, |
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650 0, |
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651 3, |
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652 ignore_edges=[(1, 2)], |
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653 ) |
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654 |
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655 |
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656 def test_bidirectional_shortest_path_ignore(): |
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657 G = nx.Graph() |
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658 nx.add_path(G, [1, 2]) |
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659 nx.add_path(G, [1, 3]) |
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660 nx.add_path(G, [1, 4]) |
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661 pytest.raises( |
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662 nx.NetworkXNoPath, _bidirectional_shortest_path, G, 1, 2, ignore_nodes=[1] |
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663 ) |
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664 pytest.raises( |
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665 nx.NetworkXNoPath, _bidirectional_shortest_path, G, 1, 2, ignore_nodes=[2] |
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666 ) |
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667 G = nx.Graph() |
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668 nx.add_path(G, [1, 3]) |
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669 nx.add_path(G, [1, 4]) |
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670 nx.add_path(G, [3, 2]) |
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671 pytest.raises( |
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672 nx.NetworkXNoPath, _bidirectional_shortest_path, G, 1, 2, ignore_nodes=[1, 2] |
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673 ) |
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674 |
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675 |
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676 def validate_path(G, s, t, soln_len, path): |
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677 assert path[0] == s |
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678 assert path[-1] == t |
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679 assert soln_len == sum( |
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680 G[u][v].get("weight", 1) for u, v in zip(path[:-1], path[1:]) |
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681 ) |
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682 |
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683 |
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684 def validate_length_path(G, s, t, soln_len, length, path): |
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685 assert soln_len == length |
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686 validate_path(G, s, t, length, path) |
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687 |
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688 |
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689 def test_bidirectional_dijksta_restricted(): |
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690 XG = nx.DiGraph() |
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691 XG.add_weighted_edges_from( |
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692 [ |
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693 ("s", "u", 10), |
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694 ("s", "x", 5), |
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695 ("u", "v", 1), |
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696 ("u", "x", 2), |
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697 ("v", "y", 1), |
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698 ("x", "u", 3), |
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699 ("x", "v", 5), |
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700 ("x", "y", 2), |
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701 ("y", "s", 7), |
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702 ("y", "v", 6), |
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703 ] |
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704 ) |
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705 |
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706 XG3 = nx.Graph() |
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707 XG3.add_weighted_edges_from( |
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708 [[0, 1, 2], [1, 2, 12], [2, 3, 1], [3, 4, 5], [4, 5, 1], [5, 0, 10]] |
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709 ) |
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710 validate_length_path(XG, "s", "v", 9, *_bidirectional_dijkstra(XG, "s", "v")) |
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711 validate_length_path( |
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712 XG, "s", "v", 10, *_bidirectional_dijkstra(XG, "s", "v", ignore_nodes=["u"]) |
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713 ) |
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714 validate_length_path( |
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715 XG, |
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716 "s", |
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717 "v", |
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718 11, |
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719 *_bidirectional_dijkstra(XG, "s", "v", ignore_edges=[("s", "x")]) |
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720 ) |
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721 pytest.raises( |
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722 nx.NetworkXNoPath, |
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723 _bidirectional_dijkstra, |
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724 XG, |
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725 "s", |
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726 "v", |
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727 ignore_nodes=["u"], |
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728 ignore_edges=[("s", "x")], |
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729 ) |
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730 validate_length_path(XG3, 0, 3, 15, *_bidirectional_dijkstra(XG3, 0, 3)) |
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731 validate_length_path( |
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732 XG3, 0, 3, 16, *_bidirectional_dijkstra(XG3, 0, 3, ignore_nodes=[1]) |
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733 ) |
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734 validate_length_path( |
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735 XG3, 0, 3, 16, *_bidirectional_dijkstra(XG3, 0, 3, ignore_edges=[(2, 3)]) |
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736 ) |
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737 pytest.raises( |
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738 nx.NetworkXNoPath, |
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739 _bidirectional_dijkstra, |
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740 XG3, |
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741 0, |
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742 3, |
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743 ignore_nodes=[1], |
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744 ignore_edges=[(5, 4)], |
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745 ) |
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746 |
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747 |
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748 def test_bidirectional_dijkstra_no_path(): |
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749 with pytest.raises(nx.NetworkXNoPath): |
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750 G = nx.Graph() |
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751 nx.add_path(G, [1, 2, 3]) |
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752 nx.add_path(G, [4, 5, 6]) |
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753 _bidirectional_dijkstra(G, 1, 6) |
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754 |
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755 |
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756 def test_bidirectional_dijkstra_ignore(): |
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757 G = nx.Graph() |
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758 nx.add_path(G, [1, 2, 10]) |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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759 nx.add_path(G, [1, 3, 10]) |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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760 pytest.raises(nx.NetworkXNoPath, _bidirectional_dijkstra, G, 1, 2, ignore_nodes=[1]) |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
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761 pytest.raises(nx.NetworkXNoPath, _bidirectional_dijkstra, G, 1, 2, ignore_nodes=[2]) |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
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762 pytest.raises( |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
diff
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763 nx.NetworkXNoPath, _bidirectional_dijkstra, G, 1, 2, ignore_nodes=[1, 2] |
4f3585e2f14b
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
shellac
parents:
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764 ) |