annotate env/lib/python3.9/site-packages/networkx/algorithms/shortest_paths/tests/test_dense.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 import pytest
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2 import networkx as nx
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3
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4
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5 class TestFloyd:
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6 @classmethod
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7 def setup_class(cls):
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8 pass
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9
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10 def test_floyd_warshall_predecessor_and_distance(self):
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11 XG = nx.DiGraph()
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12 XG.add_weighted_edges_from(
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13 [
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14 ("s", "u", 10),
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15 ("s", "x", 5),
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16 ("u", "v", 1),
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17 ("u", "x", 2),
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18 ("v", "y", 1),
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19 ("x", "u", 3),
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20 ("x", "v", 5),
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21 ("x", "y", 2),
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22 ("y", "s", 7),
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23 ("y", "v", 6),
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24 ]
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25 )
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26 path, dist = nx.floyd_warshall_predecessor_and_distance(XG)
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27 assert dist["s"]["v"] == 9
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28 assert path["s"]["v"] == "u"
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29 assert dist == {
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30 "y": {"y": 0, "x": 12, "s": 7, "u": 15, "v": 6},
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31 "x": {"y": 2, "x": 0, "s": 9, "u": 3, "v": 4},
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32 "s": {"y": 7, "x": 5, "s": 0, "u": 8, "v": 9},
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33 "u": {"y": 2, "x": 2, "s": 9, "u": 0, "v": 1},
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34 "v": {"y": 1, "x": 13, "s": 8, "u": 16, "v": 0},
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35 }
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36
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37 GG = XG.to_undirected()
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38 # make sure we get lower weight
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39 # to_undirected might choose either edge with weight 2 or weight 3
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40 GG["u"]["x"]["weight"] = 2
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41 path, dist = nx.floyd_warshall_predecessor_and_distance(GG)
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42 assert dist["s"]["v"] == 8
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43 # skip this test, could be alternate path s-u-v
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44 # assert_equal(path['s']['v'],'y')
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45
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46 G = nx.DiGraph() # no weights
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47 G.add_edges_from(
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48 [
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49 ("s", "u"),
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50 ("s", "x"),
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51 ("u", "v"),
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52 ("u", "x"),
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53 ("v", "y"),
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54 ("x", "u"),
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55 ("x", "v"),
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56 ("x", "y"),
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57 ("y", "s"),
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58 ("y", "v"),
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59 ]
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60 )
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61 path, dist = nx.floyd_warshall_predecessor_and_distance(G)
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62 assert dist["s"]["v"] == 2
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63 # skip this test, could be alternate path s-u-v
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64 # assert_equal(path['s']['v'],'x')
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65
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66 # alternate interface
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67 dist = nx.floyd_warshall(G)
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68 assert dist["s"]["v"] == 2
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69
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70 # floyd_warshall_predecessor_and_distance returns
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71 # dicts-of-defautdicts
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72 # make sure we don't get empty dictionary
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73 XG = nx.DiGraph()
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74 XG.add_weighted_edges_from(
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75 [("v", "x", 5.0), ("y", "x", 5.0), ("v", "y", 6.0), ("x", "u", 2.0)]
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76 )
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77 path, dist = nx.floyd_warshall_predecessor_and_distance(XG)
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78 inf = float("inf")
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79 assert dist == {
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80 "v": {"v": 0, "x": 5.0, "y": 6.0, "u": 7.0},
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81 "x": {"x": 0, "u": 2.0, "v": inf, "y": inf},
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82 "y": {"y": 0, "x": 5.0, "v": inf, "u": 7.0},
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83 "u": {"u": 0, "v": inf, "x": inf, "y": inf},
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84 }
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85 assert path == {
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86 "v": {"x": "v", "y": "v", "u": "x"},
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87 "x": {"u": "x"},
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88 "y": {"x": "y", "u": "x"},
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89 }
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90
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91 def test_reconstruct_path(self):
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92 with pytest.raises(KeyError):
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93 XG = nx.DiGraph()
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94 XG.add_weighted_edges_from(
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95 [
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96 ("s", "u", 10),
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97 ("s", "x", 5),
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98 ("u", "v", 1),
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99 ("u", "x", 2),
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100 ("v", "y", 1),
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101 ("x", "u", 3),
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102 ("x", "v", 5),
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103 ("x", "y", 2),
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104 ("y", "s", 7),
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105 ("y", "v", 6),
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106 ]
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107 )
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108 predecessors, _ = nx.floyd_warshall_predecessor_and_distance(XG)
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109
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110 path = nx.reconstruct_path("s", "v", predecessors)
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111 assert path == ["s", "x", "u", "v"]
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112
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113 path = nx.reconstruct_path("s", "s", predecessors)
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114 assert path == []
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115
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116 # this part raises the keyError
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117 nx.reconstruct_path("1", "2", predecessors)
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118
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119 def test_cycle(self):
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120 path, dist = nx.floyd_warshall_predecessor_and_distance(nx.cycle_graph(7))
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121 assert dist[0][3] == 3
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122 assert path[0][3] == 2
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123 assert dist[0][4] == 3
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124
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125 def test_weighted(self):
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126 XG3 = nx.Graph()
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127 XG3.add_weighted_edges_from(
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128 [[0, 1, 2], [1, 2, 12], [2, 3, 1], [3, 4, 5], [4, 5, 1], [5, 0, 10]]
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129 )
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130 path, dist = nx.floyd_warshall_predecessor_and_distance(XG3)
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131 assert dist[0][3] == 15
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132 assert path[0][3] == 2
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133
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134 def test_weighted2(self):
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135 XG4 = nx.Graph()
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136 XG4.add_weighted_edges_from(
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137 [
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138 [0, 1, 2],
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139 [1, 2, 2],
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140 [2, 3, 1],
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141 [3, 4, 1],
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142 [4, 5, 1],
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143 [5, 6, 1],
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144 [6, 7, 1],
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145 [7, 0, 1],
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146 ]
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147 )
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148 path, dist = nx.floyd_warshall_predecessor_and_distance(XG4)
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149 assert dist[0][2] == 4
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150 assert path[0][2] == 1
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151
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152 def test_weight_parameter(self):
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153 XG4 = nx.Graph()
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154 XG4.add_edges_from(
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155 [
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156 (0, 1, {"heavy": 2}),
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157 (1, 2, {"heavy": 2}),
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158 (2, 3, {"heavy": 1}),
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159 (3, 4, {"heavy": 1}),
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160 (4, 5, {"heavy": 1}),
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161 (5, 6, {"heavy": 1}),
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162 (6, 7, {"heavy": 1}),
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163 (7, 0, {"heavy": 1}),
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164 ]
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165 )
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166 path, dist = nx.floyd_warshall_predecessor_and_distance(XG4, weight="heavy")
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167 assert dist[0][2] == 4
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168 assert path[0][2] == 1
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169
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170 def test_zero_distance(self):
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171 XG = nx.DiGraph()
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172 XG.add_weighted_edges_from(
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173 [
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174 ("s", "u", 10),
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175 ("s", "x", 5),
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176 ("u", "v", 1),
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177 ("u", "x", 2),
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178 ("v", "y", 1),
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179 ("x", "u", 3),
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180 ("x", "v", 5),
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181 ("x", "y", 2),
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182 ("y", "s", 7),
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183 ("y", "v", 6),
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184 ]
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185 )
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186 path, dist = nx.floyd_warshall_predecessor_and_distance(XG)
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187
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188 for u in XG:
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189 assert dist[u][u] == 0
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190
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191 GG = XG.to_undirected()
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192 # make sure we get lower weight
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193 # to_undirected might choose either edge with weight 2 or weight 3
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194 GG["u"]["x"]["weight"] = 2
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195 path, dist = nx.floyd_warshall_predecessor_and_distance(GG)
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196
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197 for u in GG:
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198 dist[u][u] = 0
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199
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200 def test_zero_weight(self):
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201 G = nx.DiGraph()
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202 edges = [(1, 2, -2), (2, 3, -4), (1, 5, 1), (5, 4, 0), (4, 3, -5), (2, 5, -7)]
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203 G.add_weighted_edges_from(edges)
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204 dist = nx.floyd_warshall(G)
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205 assert dist[1][3] == -14
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206
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207 G = nx.MultiDiGraph()
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208 edges.append((2, 5, -7))
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209 G.add_weighted_edges_from(edges)
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210 dist = nx.floyd_warshall(G)
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211 assert dist[1][3] == -14