Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/tests/test_sparsifiers.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 """Unit tests for the sparsifier computation functions.""" |
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2 import pytest |
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3 import networkx as nx |
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4 from networkx.utils import py_random_state |
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5 |
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6 |
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7 _seed = 2 |
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8 |
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9 |
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10 def _test_spanner(G, spanner, stretch, weight=None): |
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11 """Test whether a spanner is valid. |
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12 |
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13 This function tests whether the given spanner is a subgraph of the |
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14 given graph G with the same node set. It also tests for all shortest |
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15 paths whether they adhere to the given stretch. |
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16 |
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17 Parameters |
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18 ---------- |
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19 G : NetworkX graph |
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20 The original graph for which the spanner was constructed. |
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21 |
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22 spanner : NetworkX graph |
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23 The spanner to be tested. |
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24 |
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25 stretch : float |
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26 The proclaimed stretch of the spanner. |
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27 |
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28 weight : object |
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29 The edge attribute to use as distance. |
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30 """ |
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31 # check node set |
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32 assert set(G.nodes()) == set(spanner.nodes()) |
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33 |
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34 # check edge set and weights |
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35 for u, v in spanner.edges(): |
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36 assert G.has_edge(u, v) |
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37 if weight: |
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38 assert spanner[u][v][weight] == G[u][v][weight] |
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39 |
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40 # check connectivity and stretch |
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41 original_length = dict(nx.shortest_path_length(G, weight=weight)) |
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42 spanner_length = dict(nx.shortest_path_length(spanner, weight=weight)) |
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43 for u in G.nodes(): |
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44 for v in G.nodes(): |
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45 if u in original_length and v in original_length[u]: |
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46 assert spanner_length[u][v] <= stretch * original_length[u][v] |
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47 |
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48 |
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49 @py_random_state(1) |
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50 def _assign_random_weights(G, seed=None): |
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51 """Assigns random weights to the edges of a graph. |
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52 |
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53 Parameters |
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54 ---------- |
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55 |
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56 G : NetworkX graph |
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57 The original graph for which the spanner was constructed. |
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58 |
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59 seed : integer, random_state, or None (default) |
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60 Indicator of random number generation state. |
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61 See :ref:`Randomness<randomness>`. |
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62 """ |
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63 for u, v in G.edges(): |
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64 G[u][v]["weight"] = seed.random() |
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65 |
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66 |
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67 def test_spanner_trivial(): |
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68 """Test a trivial spanner with stretch 1.""" |
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69 G = nx.complete_graph(20) |
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70 spanner = nx.spanner(G, 1, seed=_seed) |
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71 |
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72 for u, v in G.edges: |
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73 assert spanner.has_edge(u, v) |
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74 |
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75 |
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76 def test_spanner_unweighted_complete_graph(): |
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77 """Test spanner construction on a complete unweighted graph.""" |
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78 G = nx.complete_graph(20) |
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79 |
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80 spanner = nx.spanner(G, 4, seed=_seed) |
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81 _test_spanner(G, spanner, 4) |
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82 |
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83 spanner = nx.spanner(G, 10, seed=_seed) |
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84 _test_spanner(G, spanner, 10) |
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85 |
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86 |
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87 def test_spanner_weighted_complete_graph(): |
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88 """Test spanner construction on a complete weighted graph.""" |
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89 G = nx.complete_graph(20) |
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90 _assign_random_weights(G, seed=_seed) |
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91 |
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92 spanner = nx.spanner(G, 4, weight="weight", seed=_seed) |
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93 _test_spanner(G, spanner, 4, weight="weight") |
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94 |
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95 spanner = nx.spanner(G, 10, weight="weight", seed=_seed) |
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96 _test_spanner(G, spanner, 10, weight="weight") |
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97 |
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98 |
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99 def test_spanner_unweighted_gnp_graph(): |
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100 """Test spanner construction on an unweighted gnp graph.""" |
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101 G = nx.gnp_random_graph(20, 0.4, seed=_seed) |
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102 |
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103 spanner = nx.spanner(G, 4, seed=_seed) |
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104 _test_spanner(G, spanner, 4) |
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105 |
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106 spanner = nx.spanner(G, 10, seed=_seed) |
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107 _test_spanner(G, spanner, 10) |
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108 |
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109 |
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110 def test_spanner_weighted_gnp_graph(): |
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111 """Test spanner construction on an weighted gnp graph.""" |
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112 G = nx.gnp_random_graph(20, 0.4, seed=_seed) |
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113 _assign_random_weights(G, seed=_seed) |
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114 |
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115 spanner = nx.spanner(G, 4, weight="weight", seed=_seed) |
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116 _test_spanner(G, spanner, 4, weight="weight") |
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117 |
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118 spanner = nx.spanner(G, 10, weight="weight", seed=_seed) |
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119 _test_spanner(G, spanner, 10, weight="weight") |
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120 |
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121 |
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122 def test_spanner_unweighted_disconnected_graph(): |
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123 """Test spanner construction on a disconnected graph.""" |
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124 G = nx.disjoint_union(nx.complete_graph(10), nx.complete_graph(10)) |
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125 |
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126 spanner = nx.spanner(G, 4, seed=_seed) |
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127 _test_spanner(G, spanner, 4) |
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128 |
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129 spanner = nx.spanner(G, 10, seed=_seed) |
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130 _test_spanner(G, spanner, 10) |
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131 |
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132 |
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133 def test_spanner_invalid_stretch(): |
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134 """Check whether an invalid stretch is caught.""" |
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135 with pytest.raises(ValueError): |
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136 G = nx.empty_graph() |
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137 nx.spanner(G, 0) |