annotate env/lib/python3.9/site-packages/networkx/algorithms/tests/test_distance_measures.py @ 0:4f3585e2f14b draft default tip

"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
author shellac
date Mon, 22 Mar 2021 18:12:50 +0000
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1 from random import Random
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2
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3 import pytest
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4
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5
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6 import networkx as nx
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7 from networkx import convert_node_labels_to_integers as cnlti
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8
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9
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10 class TestDistance:
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11 def setup_method(self):
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12 G = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted")
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13 self.G = G
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14
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15 def test_eccentricity(self):
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16 assert nx.eccentricity(self.G, 1) == 6
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17 e = nx.eccentricity(self.G)
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18 assert e[1] == 6
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19
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20 sp = dict(nx.shortest_path_length(self.G))
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21 e = nx.eccentricity(self.G, sp=sp)
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22 assert e[1] == 6
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23
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24 e = nx.eccentricity(self.G, v=1)
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25 assert e == 6
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26
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27 # This behavior changed in version 1.8 (ticket #739)
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28 e = nx.eccentricity(self.G, v=[1, 1])
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29 assert e[1] == 6
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30 e = nx.eccentricity(self.G, v=[1, 2])
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31 assert e[1] == 6
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32
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33 # test against graph with one node
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34 G = nx.path_graph(1)
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35 e = nx.eccentricity(G)
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36 assert e[0] == 0
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37 e = nx.eccentricity(G, v=0)
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38 assert e == 0
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39 pytest.raises(nx.NetworkXError, nx.eccentricity, G, 1)
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40
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41 # test against empty graph
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42 G = nx.empty_graph()
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43 e = nx.eccentricity(G)
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44 assert e == {}
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45
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46 def test_diameter(self):
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47 assert nx.diameter(self.G) == 6
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48
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49 def test_radius(self):
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50 assert nx.radius(self.G) == 4
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51
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52 def test_periphery(self):
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53 assert set(nx.periphery(self.G)) == {1, 4, 13, 16}
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54
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55 def test_center(self):
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56 assert set(nx.center(self.G)) == {6, 7, 10, 11}
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57
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58 def test_bound_diameter(self):
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59 assert nx.diameter(self.G, usebounds=True) == 6
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60
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61 def test_bound_radius(self):
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62 assert nx.radius(self.G, usebounds=True) == 4
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63
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64 def test_bound_periphery(self):
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65 result = {1, 4, 13, 16}
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66 assert set(nx.periphery(self.G, usebounds=True)) == result
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67
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68 def test_bound_center(self):
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69 result = {6, 7, 10, 11}
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70 assert set(nx.center(self.G, usebounds=True)) == result
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71
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72 def test_radius_exception(self):
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73 G = nx.Graph()
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74 G.add_edge(1, 2)
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75 G.add_edge(3, 4)
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76 pytest.raises(nx.NetworkXError, nx.diameter, G)
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77
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78 def test_eccentricity_infinite(self):
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79 with pytest.raises(nx.NetworkXError):
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80 G = nx.Graph([(1, 2), (3, 4)])
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81 e = nx.eccentricity(G)
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82
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83 def test_eccentricity_undirected_not_connected(self):
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84 with pytest.raises(nx.NetworkXError):
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85 G = nx.Graph([(1, 2), (3, 4)])
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86 e = nx.eccentricity(G, sp=1)
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87
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88 def test_eccentricity_directed_weakly_connected(self):
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89 with pytest.raises(nx.NetworkXError):
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90 DG = nx.DiGraph([(1, 2), (1, 3)])
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91 nx.eccentricity(DG)
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92
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93
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94 class TestResistanceDistance:
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95 @classmethod
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96 def setup_class(cls):
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97 global np
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98 global sp_sparse
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99 np = pytest.importorskip("numpy")
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100 scipy = pytest.importorskip("scipy")
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101 sp_sparse = pytest.importorskip("scipy.sparse")
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102
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103 def setup_method(self):
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104 G = nx.Graph()
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105 G.add_edge(1, 2, weight=2)
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106 G.add_edge(2, 3, weight=4)
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107 G.add_edge(3, 4, weight=1)
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108 G.add_edge(1, 4, weight=3)
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109 self.G = G
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110
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111 def test_laplacian_submatrix(self):
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112 from networkx.algorithms.distance_measures import _laplacian_submatrix
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113
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114 M = sp_sparse.csr_matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]], dtype=np.float32)
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115 N = sp_sparse.csr_matrix([[5, 6], [8, 9]], dtype=np.float32)
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116 Mn, Mn_nodelist = _laplacian_submatrix(1, M, [1, 2, 3])
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117 assert Mn_nodelist == [2, 3]
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118 assert np.allclose(Mn.toarray(), N.toarray())
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119
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120 def test_laplacian_submatrix_square(self):
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121 with pytest.raises(nx.NetworkXError):
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122 from networkx.algorithms.distance_measures import _laplacian_submatrix
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123
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124 M = sp_sparse.csr_matrix([[1, 2], [4, 5], [7, 8]], dtype=np.float32)
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125 _laplacian_submatrix(1, M, [1, 2, 3])
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126
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127 def test_laplacian_submatrix_matrix_node_dim(self):
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128 with pytest.raises(nx.NetworkXError):
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129 from networkx.algorithms.distance_measures import _laplacian_submatrix
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130
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131 M = sp_sparse.csr_matrix(
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132 [[1, 2, 3], [4, 5, 6], [7, 8, 9]], dtype=np.float32
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133 )
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134 _laplacian_submatrix(1, M, [1, 2, 3, 4])
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135
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136 def test_resistance_distance(self):
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137 rd = nx.resistance_distance(self.G, 1, 3, "weight", True)
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138 test_data = 1 / (1 / (2 + 4) + 1 / (1 + 3))
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139 assert round(rd, 5) == round(test_data, 5)
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140
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141 def test_resistance_distance_noinv(self):
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142 rd = nx.resistance_distance(self.G, 1, 3, "weight", False)
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143 test_data = 1 / (1 / (1 / 2 + 1 / 4) + 1 / (1 / 1 + 1 / 3))
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144 assert round(rd, 5) == round(test_data, 5)
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145
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146 def test_resistance_distance_no_weight(self):
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147 rd = nx.resistance_distance(self.G, 1, 3)
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148 assert round(rd, 5) == 1
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149
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150 def test_resistance_distance_neg_weight(self):
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151 self.G[2][3]["weight"] = -4
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152 rd = nx.resistance_distance(self.G, 1, 3, "weight", True)
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153 test_data = 1 / (1 / (2 + -4) + 1 / (1 + 3))
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154 assert round(rd, 5) == round(test_data, 5)
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155
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156 def test_multigraph(self):
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157 G = nx.MultiGraph()
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158 G.add_edge(1, 2, weight=2)
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159 G.add_edge(2, 3, weight=4)
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160 G.add_edge(3, 4, weight=1)
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161 G.add_edge(1, 4, weight=3)
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162 rd = nx.resistance_distance(G, 1, 3, "weight", True)
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163 assert np.isclose(rd, 1 / (1 / (2 + 4) + 1 / (1 + 3)))
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164
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165 def test_resistance_distance_div0(self):
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166 with pytest.raises(ZeroDivisionError):
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167 self.G[1][2]["weight"] = 0
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168 nx.resistance_distance(self.G, 1, 3, "weight")
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169
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170 def test_resistance_distance_not_connected(self):
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171 with pytest.raises(nx.NetworkXError):
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172 self.G.add_node(5)
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173 nx.resistance_distance(self.G, 1, 5)
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174
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175 def test_resistance_distance_same_node(self):
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176 with pytest.raises(nx.NetworkXError):
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177 nx.resistance_distance(self.G, 1, 1)
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178
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179 def test_resistance_distance_nodeA_not_in_graph(self):
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180 with pytest.raises(nx.NetworkXError):
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181 nx.resistance_distance(self.G, 9, 1)
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182
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183 def test_resistance_distance_nodeB_not_in_graph(self):
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184 with pytest.raises(nx.NetworkXError):
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185 nx.resistance_distance(self.G, 1, 9)
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186
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187
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188 class TestBarycenter:
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189 """Test :func:`networkx.algorithms.distance_measures.barycenter`."""
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190
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191 def barycenter_as_subgraph(self, g, **kwargs):
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192 """Return the subgraph induced on the barycenter of g"""
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193 b = nx.barycenter(g, **kwargs)
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194 assert isinstance(b, list)
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195 assert set(b) <= set(g)
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196 return g.subgraph(b)
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197
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198 def test_must_be_connected(self):
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199 pytest.raises(nx.NetworkXNoPath, nx.barycenter, nx.empty_graph(5))
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200
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201 def test_sp_kwarg(self):
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202 # Complete graph K_5. Normally it works...
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203 K_5 = nx.complete_graph(5)
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204 sp = dict(nx.shortest_path_length(K_5))
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205 assert nx.barycenter(K_5, sp=sp) == list(K_5)
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206
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207 # ...but not with the weight argument
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208 for u, v, data in K_5.edges.data():
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209 data["weight"] = 1
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210 pytest.raises(ValueError, nx.barycenter, K_5, sp=sp, weight="weight")
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211
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212 # ...and a corrupted sp can make it seem like K_5 is disconnected
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213 del sp[0][1]
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214 pytest.raises(nx.NetworkXNoPath, nx.barycenter, K_5, sp=sp)
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215
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216 def test_trees(self):
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217 """The barycenter of a tree is a single vertex or an edge.
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218
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219 See [West01]_, p. 78.
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220 """
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221 prng = Random(0xDEADBEEF)
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222 for i in range(50):
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223 RT = nx.random_tree(prng.randint(1, 75), prng)
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224 b = self.barycenter_as_subgraph(RT)
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225 if len(b) == 2:
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226 assert b.size() == 1
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227 else:
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228 assert len(b) == 1
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229 assert b.size() == 0
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230
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231 def test_this_one_specific_tree(self):
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232 """Test the tree pictured at the bottom of [West01]_, p. 78."""
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233 g = nx.Graph(
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234 {
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235 "a": ["b"],
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236 "b": ["a", "x"],
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237 "x": ["b", "y"],
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238 "y": ["x", "z"],
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239 "z": ["y", 0, 1, 2, 3, 4],
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240 0: ["z"],
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241 1: ["z"],
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242 2: ["z"],
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243 3: ["z"],
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244 4: ["z"],
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245 }
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246 )
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247 b = self.barycenter_as_subgraph(g, attr="barycentricity")
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248 assert list(b) == ["z"]
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249 assert not b.edges
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250 expected_barycentricity = {
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251 0: 23,
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252 1: 23,
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253 2: 23,
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254 3: 23,
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255 4: 23,
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256 "a": 35,
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257 "b": 27,
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258 "x": 21,
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259 "y": 17,
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260 "z": 15,
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261 }
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262 for node, barycentricity in expected_barycentricity.items():
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263 assert g.nodes[node]["barycentricity"] == barycentricity
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264
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265 # Doubling weights should do nothing but double the barycentricities
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266 for edge in g.edges:
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267 g.edges[edge]["weight"] = 2
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268 b = self.barycenter_as_subgraph(g, weight="weight", attr="barycentricity2")
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269 assert list(b) == ["z"]
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270 assert not b.edges
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271 for node, barycentricity in expected_barycentricity.items():
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272 assert g.nodes[node]["barycentricity2"] == barycentricity * 2