Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/centrality/tests/test_current_flow_betweenness_centrality.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.testing import almost_equal |
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5 from networkx import edge_current_flow_betweenness_centrality as edge_current_flow |
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6 from networkx import approximate_current_flow_betweenness_centrality as approximate_cfbc |
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7 |
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8 |
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9 np = pytest.importorskip("numpy") |
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10 npt = pytest.importorskip("numpy.testing") |
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11 scipy = pytest.importorskip("scipy") |
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12 |
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13 |
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14 class TestFlowBetweennessCentrality: |
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15 def test_K4_normalized(self): |
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16 """Betweenness centrality: K4""" |
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17 G = nx.complete_graph(4) |
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18 b = nx.current_flow_betweenness_centrality(G, normalized=True) |
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19 b_answer = {0: 0.25, 1: 0.25, 2: 0.25, 3: 0.25} |
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20 for n in sorted(G): |
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21 assert almost_equal(b[n], b_answer[n]) |
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22 G.add_edge(0, 1, weight=0.5, other=0.3) |
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23 b = nx.current_flow_betweenness_centrality(G, normalized=True, weight=None) |
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24 for n in sorted(G): |
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25 assert almost_equal(b[n], b_answer[n]) |
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26 wb_answer = {0: 0.2222222, 1: 0.2222222, 2: 0.30555555, 3: 0.30555555} |
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27 b = nx.current_flow_betweenness_centrality(G, normalized=True, weight="weight") |
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28 for n in sorted(G): |
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29 assert almost_equal(b[n], wb_answer[n]) |
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30 wb_answer = {0: 0.2051282, 1: 0.2051282, 2: 0.33974358, 3: 0.33974358} |
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31 b = nx.current_flow_betweenness_centrality(G, normalized=True, weight="other") |
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32 for n in sorted(G): |
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33 assert almost_equal(b[n], wb_answer[n]) |
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34 |
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35 def test_K4(self): |
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36 """Betweenness centrality: K4""" |
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37 G = nx.complete_graph(4) |
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38 for solver in ["full", "lu", "cg"]: |
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39 b = nx.current_flow_betweenness_centrality( |
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40 G, normalized=False, solver=solver |
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41 ) |
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42 b_answer = {0: 0.75, 1: 0.75, 2: 0.75, 3: 0.75} |
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43 for n in sorted(G): |
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44 assert almost_equal(b[n], b_answer[n]) |
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45 |
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46 def test_P4_normalized(self): |
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47 """Betweenness centrality: P4 normalized""" |
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48 G = nx.path_graph(4) |
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49 b = nx.current_flow_betweenness_centrality(G, normalized=True) |
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50 b_answer = {0: 0, 1: 2.0 / 3, 2: 2.0 / 3, 3: 0} |
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51 for n in sorted(G): |
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52 assert almost_equal(b[n], b_answer[n]) |
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53 |
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54 def test_P4(self): |
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55 """Betweenness centrality: P4""" |
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56 G = nx.path_graph(4) |
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57 b = nx.current_flow_betweenness_centrality(G, normalized=False) |
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58 b_answer = {0: 0, 1: 2, 2: 2, 3: 0} |
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59 for n in sorted(G): |
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60 assert almost_equal(b[n], b_answer[n]) |
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61 |
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62 def test_star(self): |
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63 """Betweenness centrality: star """ |
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64 G = nx.Graph() |
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65 nx.add_star(G, ["a", "b", "c", "d"]) |
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66 b = nx.current_flow_betweenness_centrality(G, normalized=True) |
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67 b_answer = {"a": 1.0, "b": 0.0, "c": 0.0, "d": 0.0} |
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68 for n in sorted(G): |
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69 assert almost_equal(b[n], b_answer[n]) |
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70 |
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71 def test_solvers2(self): |
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72 """Betweenness centrality: alternate solvers""" |
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73 G = nx.complete_graph(4) |
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74 for solver in ["full", "lu", "cg"]: |
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75 b = nx.current_flow_betweenness_centrality( |
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76 G, normalized=False, solver=solver |
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77 ) |
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78 b_answer = {0: 0.75, 1: 0.75, 2: 0.75, 3: 0.75} |
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79 for n in sorted(G): |
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80 assert almost_equal(b[n], b_answer[n]) |
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81 |
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82 |
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83 class TestApproximateFlowBetweennessCentrality: |
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84 def test_K4_normalized(self): |
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85 "Approximate current-flow betweenness centrality: K4 normalized" |
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86 G = nx.complete_graph(4) |
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87 b = nx.current_flow_betweenness_centrality(G, normalized=True) |
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88 epsilon = 0.1 |
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89 ba = approximate_cfbc(G, normalized=True, epsilon=0.5 * epsilon) |
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90 for n in sorted(G): |
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91 npt.assert_allclose(b[n], ba[n], atol=epsilon) |
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92 |
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93 def test_K4(self): |
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94 "Approximate current-flow betweenness centrality: K4" |
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95 G = nx.complete_graph(4) |
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96 b = nx.current_flow_betweenness_centrality(G, normalized=False) |
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97 epsilon = 0.1 |
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98 ba = approximate_cfbc(G, normalized=False, epsilon=0.5 * epsilon) |
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99 for n in sorted(G): |
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100 npt.assert_allclose(b[n], ba[n], atol=epsilon * len(G) ** 2) |
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101 |
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102 def test_star(self): |
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103 "Approximate current-flow betweenness centrality: star" |
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104 G = nx.Graph() |
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105 nx.add_star(G, ["a", "b", "c", "d"]) |
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106 b = nx.current_flow_betweenness_centrality(G, normalized=True) |
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107 epsilon = 0.1 |
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108 ba = approximate_cfbc(G, normalized=True, epsilon=0.5 * epsilon) |
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109 for n in sorted(G): |
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110 npt.assert_allclose(b[n], ba[n], atol=epsilon) |
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111 |
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112 def test_grid(self): |
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113 "Approximate current-flow betweenness centrality: 2d grid" |
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114 G = nx.grid_2d_graph(4, 4) |
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115 b = nx.current_flow_betweenness_centrality(G, normalized=True) |
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116 epsilon = 0.1 |
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117 ba = approximate_cfbc(G, normalized=True, epsilon=0.5 * epsilon) |
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118 for n in sorted(G): |
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119 npt.assert_allclose(b[n], ba[n], atol=epsilon) |
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120 |
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121 def test_seed(self): |
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122 G = nx.complete_graph(4) |
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123 b = approximate_cfbc(G, normalized=False, epsilon=0.05, seed=1) |
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124 b_answer = {0: 0.75, 1: 0.75, 2: 0.75, 3: 0.75} |
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125 for n in sorted(G): |
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126 npt.assert_allclose(b[n], b_answer[n], atol=0.1) |
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127 |
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128 def test_solvers(self): |
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129 "Approximate current-flow betweenness centrality: solvers" |
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130 G = nx.complete_graph(4) |
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131 epsilon = 0.1 |
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132 for solver in ["full", "lu", "cg"]: |
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133 b = approximate_cfbc( |
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134 G, normalized=False, solver=solver, epsilon=0.5 * epsilon |
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135 ) |
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136 b_answer = {0: 0.75, 1: 0.75, 2: 0.75, 3: 0.75} |
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137 for n in sorted(G): |
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138 npt.assert_allclose(b[n], b_answer[n], atol=epsilon) |
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139 |
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140 |
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141 class TestWeightedFlowBetweennessCentrality: |
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142 pass |
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143 |
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144 |
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145 class TestEdgeFlowBetweennessCentrality: |
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146 def test_K4(self): |
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147 """Edge flow betweenness centrality: K4""" |
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148 G = nx.complete_graph(4) |
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149 b = edge_current_flow(G, normalized=True) |
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150 b_answer = dict.fromkeys(G.edges(), 0.25) |
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151 for (s, t), v1 in b_answer.items(): |
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152 v2 = b.get((s, t), b.get((t, s))) |
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153 assert almost_equal(v1, v2) |
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154 |
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155 def test_K4_normalized(self): |
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156 """Edge flow betweenness centrality: K4""" |
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157 G = nx.complete_graph(4) |
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158 b = edge_current_flow(G, normalized=False) |
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159 b_answer = dict.fromkeys(G.edges(), 0.75) |
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160 for (s, t), v1 in b_answer.items(): |
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161 v2 = b.get((s, t), b.get((t, s))) |
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162 assert almost_equal(v1, v2) |
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163 |
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164 def test_C4(self): |
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165 """Edge flow betweenness centrality: C4""" |
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166 G = nx.cycle_graph(4) |
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167 b = edge_current_flow(G, normalized=False) |
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168 b_answer = {(0, 1): 1.25, (0, 3): 1.25, (1, 2): 1.25, (2, 3): 1.25} |
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169 for (s, t), v1 in b_answer.items(): |
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170 v2 = b.get((s, t), b.get((t, s))) |
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171 assert almost_equal(v1, v2) |
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172 |
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173 def test_P4(self): |
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174 """Edge betweenness centrality: P4""" |
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175 G = nx.path_graph(4) |
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176 b = edge_current_flow(G, normalized=False) |
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177 b_answer = {(0, 1): 1.5, (1, 2): 2.0, (2, 3): 1.5} |
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178 for (s, t), v1 in b_answer.items(): |
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179 v2 = b.get((s, t), b.get((t, s))) |
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180 assert almost_equal(v1, v2) |