Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/tests/test_chains.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 chain decomposition functions.""" |
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2 from itertools import cycle |
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3 from itertools import islice |
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4 |
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5 import networkx as nx |
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6 |
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7 |
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8 def cycles(seq): |
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9 """Yields cyclic permutations of the given sequence. |
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10 |
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11 For example:: |
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12 |
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13 >>> list(cycles("abc")) |
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14 [('a', 'b', 'c'), ('b', 'c', 'a'), ('c', 'a', 'b')] |
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15 |
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16 """ |
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17 n = len(seq) |
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18 cycled_seq = cycle(seq) |
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19 for x in seq: |
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20 yield tuple(islice(cycled_seq, n)) |
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21 next(cycled_seq) |
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22 |
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23 |
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24 def cyclic_equals(seq1, seq2): |
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25 """Decide whether two sequences are equal up to cyclic permutations. |
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26 |
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27 For example:: |
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28 |
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29 >>> cyclic_equals("xyz", "zxy") |
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30 True |
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31 >>> cyclic_equals("xyz", "zyx") |
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32 False |
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33 |
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34 """ |
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35 # Cast seq2 to a tuple since `cycles()` yields tuples. |
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36 seq2 = tuple(seq2) |
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37 return any(x == tuple(seq2) for x in cycles(seq1)) |
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38 |
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39 |
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40 class TestChainDecomposition: |
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41 """Unit tests for the chain decomposition function.""" |
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42 |
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43 def assertContainsChain(self, chain, expected): |
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44 # A cycle could be expressed in two different orientations, one |
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45 # forward and one backward, so we need to check for cyclic |
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46 # equality in both orientations. |
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47 reversed_chain = list(reversed([tuple(reversed(e)) for e in chain])) |
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48 for candidate in expected: |
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49 if cyclic_equals(chain, candidate): |
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50 break |
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51 if cyclic_equals(reversed_chain, candidate): |
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52 break |
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53 else: |
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54 self.fail("chain not found") |
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55 |
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56 def test_decomposition(self): |
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57 edges = [ |
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58 # DFS tree edges. |
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59 (1, 2), |
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60 (2, 3), |
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61 (3, 4), |
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62 (3, 5), |
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63 (5, 6), |
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64 (6, 7), |
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65 (7, 8), |
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66 (5, 9), |
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67 (9, 10), |
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68 # Nontree edges. |
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69 (1, 3), |
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70 (1, 4), |
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71 (2, 5), |
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72 (5, 10), |
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73 (6, 8), |
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74 ] |
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75 G = nx.Graph(edges) |
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76 expected = [ |
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77 [(1, 3), (3, 2), (2, 1)], |
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78 [(1, 4), (4, 3)], |
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79 [(2, 5), (5, 3)], |
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80 [(5, 10), (10, 9), (9, 5)], |
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81 [(6, 8), (8, 7), (7, 6)], |
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82 ] |
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83 chains = list(nx.chain_decomposition(G, root=1)) |
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84 assert len(chains) == len(expected) |
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85 |
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86 # This chain decomposition isn't unique |
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87 # for chain in chains: |
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88 # print(chain) |
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89 # self.assertContainsChain(chain, expected) |
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90 |
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91 def test_barbell_graph(self): |
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92 # The (3, 0) barbell graph has two triangles joined by a single edge. |
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93 G = nx.barbell_graph(3, 0) |
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94 chains = list(nx.chain_decomposition(G, root=0)) |
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95 expected = [[(0, 1), (1, 2), (2, 0)], [(3, 4), (4, 5), (5, 3)]] |
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96 assert len(chains) == len(expected) |
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97 for chain in chains: |
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98 self.assertContainsChain(chain, expected) |
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99 |
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100 def test_disconnected_graph(self): |
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101 """Test for a graph with multiple connected components.""" |
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102 G = nx.barbell_graph(3, 0) |
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103 H = nx.barbell_graph(3, 0) |
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104 mapping = dict(zip(range(6), "abcdef")) |
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105 nx.relabel_nodes(H, mapping, copy=False) |
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106 G = nx.union(G, H) |
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107 chains = list(nx.chain_decomposition(G)) |
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108 expected = [ |
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109 [(0, 1), (1, 2), (2, 0)], |
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110 [(3, 4), (4, 5), (5, 3)], |
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111 [("a", "b"), ("b", "c"), ("c", "a")], |
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112 [("d", "e"), ("e", "f"), ("f", "d")], |
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113 ] |
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114 assert len(chains) == len(expected) |
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115 for chain in chains: |
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116 self.assertContainsChain(chain, expected) |
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117 |
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118 def test_disconnected_graph_root_node(self): |
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119 """Test for a single component of a disconnected graph.""" |
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120 G = nx.barbell_graph(3, 0) |
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121 H = nx.barbell_graph(3, 0) |
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122 mapping = dict(zip(range(6), "abcdef")) |
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123 nx.relabel_nodes(H, mapping, copy=False) |
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124 G = nx.union(G, H) |
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125 chains = list(nx.chain_decomposition(G, root="a")) |
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126 expected = [ |
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127 [("a", "b"), ("b", "c"), ("c", "a")], |
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128 [("d", "e"), ("e", "f"), ("f", "d")], |
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129 ] |
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130 assert len(chains) == len(expected) |
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131 for chain in chains: |
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132 self.assertContainsChain(chain, expected) |