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  1. valley/lib/python3.10/site-packages/networkx/algorithms/tests/__pycache__/test_core.cpython-310.pyc +0 -0
  2. valley/lib/python3.10/site-packages/networkx/algorithms/tests/__pycache__/test_planar_drawing.cpython-310.pyc +0 -0
  3. valley/lib/python3.10/site-packages/networkx/algorithms/tests/__pycache__/test_threshold.cpython-310.pyc +0 -0
  4. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_chains.py +140 -0
  5. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_core.py +266 -0
  6. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_cycles.py +974 -0
  7. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_distance_measures.py +756 -0
  8. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_distance_regular.py +85 -0
  9. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_dominance.py +285 -0
  10. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_dominating.py +46 -0
  11. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_efficiency.py +58 -0
  12. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_graphical.py +163 -0
  13. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_matching.py +605 -0
  14. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_polynomials.py +57 -0
  15. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_reciprocity.py +37 -0
  16. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_simple_paths.py +792 -0
  17. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_threshold.py +269 -0
  18. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_time_dependent.py +431 -0
  19. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_triads.py +289 -0
  20. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_vitality.py +41 -0
  21. valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_voronoi.py +103 -0
  22. wemm/lib/python3.10/lib2to3/Grammar.txt +196 -0
  23. wemm/lib/python3.10/lib2to3/__main__.py +4 -0
  24. wemm/lib/python3.10/lib2to3/btm_utils.py +281 -0
  25. wemm/lib/python3.10/lib2to3/fixer_base.py +186 -0
  26. wemm/lib/python3.10/lib2to3/fixes/__pycache__/__init__.cpython-310.pyc +0 -0
  27. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_buffer.cpython-310.pyc +0 -0
  28. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_dict.cpython-310.pyc +0 -0
  29. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_exitfunc.cpython-310.pyc +0 -0
  30. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_filter.cpython-310.pyc +0 -0
  31. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_future.cpython-310.pyc +0 -0
  32. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_has_key.cpython-310.pyc +0 -0
  33. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_imports.cpython-310.pyc +0 -0
  34. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_imports2.cpython-310.pyc +0 -0
  35. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_input.cpython-310.pyc +0 -0
  36. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_itertools.cpython-310.pyc +0 -0
  37. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_itertools_imports.cpython-310.pyc +0 -0
  38. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_metaclass.cpython-310.pyc +0 -0
  39. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_ne.cpython-310.pyc +0 -0
  40. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_next.cpython-310.pyc +0 -0
  41. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_nonzero.cpython-310.pyc +0 -0
  42. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_operator.cpython-310.pyc +0 -0
  43. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_raw_input.cpython-310.pyc +0 -0
  44. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_reduce.cpython-310.pyc +0 -0
  45. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_renames.cpython-310.pyc +0 -0
  46. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_repr.cpython-310.pyc +0 -0
  47. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_set_literal.cpython-310.pyc +0 -0
  48. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_standarderror.cpython-310.pyc +0 -0
  49. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_types.cpython-310.pyc +0 -0
  50. wemm/lib/python3.10/lib2to3/fixes/__pycache__/fix_unicode.cpython-310.pyc +0 -0
valley/lib/python3.10/site-packages/networkx/algorithms/tests/__pycache__/test_core.cpython-310.pyc ADDED
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valley/lib/python3.10/site-packages/networkx/algorithms/tests/__pycache__/test_planar_drawing.cpython-310.pyc ADDED
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valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_chains.py ADDED
@@ -0,0 +1,140 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Unit tests for the chain decomposition functions."""
2
+ from itertools import cycle, islice
3
+
4
+ import pytest
5
+
6
+ import networkx as nx
7
+
8
+
9
+ def cycles(seq):
10
+ """Yields cyclic permutations of the given sequence.
11
+
12
+ For example::
13
+
14
+ >>> list(cycles("abc"))
15
+ [('a', 'b', 'c'), ('b', 'c', 'a'), ('c', 'a', 'b')]
16
+
17
+ """
18
+ n = len(seq)
19
+ cycled_seq = cycle(seq)
20
+ for x in seq:
21
+ yield tuple(islice(cycled_seq, n))
22
+ next(cycled_seq)
23
+
24
+
25
+ def cyclic_equals(seq1, seq2):
26
+ """Decide whether two sequences are equal up to cyclic permutations.
27
+
28
+ For example::
29
+
30
+ >>> cyclic_equals("xyz", "zxy")
31
+ True
32
+ >>> cyclic_equals("xyz", "zyx")
33
+ False
34
+
35
+ """
36
+ # Cast seq2 to a tuple since `cycles()` yields tuples.
37
+ seq2 = tuple(seq2)
38
+ return any(x == tuple(seq2) for x in cycles(seq1))
39
+
40
+
41
+ class TestChainDecomposition:
42
+ """Unit tests for the chain decomposition function."""
43
+
44
+ def assertContainsChain(self, chain, expected):
45
+ # A cycle could be expressed in two different orientations, one
46
+ # forward and one backward, so we need to check for cyclic
47
+ # equality in both orientations.
48
+ reversed_chain = list(reversed([tuple(reversed(e)) for e in chain]))
49
+ for candidate in expected:
50
+ if cyclic_equals(chain, candidate):
51
+ break
52
+ if cyclic_equals(reversed_chain, candidate):
53
+ break
54
+ else:
55
+ self.fail("chain not found")
56
+
57
+ def test_decomposition(self):
58
+ edges = [
59
+ # DFS tree edges.
60
+ (1, 2),
61
+ (2, 3),
62
+ (3, 4),
63
+ (3, 5),
64
+ (5, 6),
65
+ (6, 7),
66
+ (7, 8),
67
+ (5, 9),
68
+ (9, 10),
69
+ # Nontree edges.
70
+ (1, 3),
71
+ (1, 4),
72
+ (2, 5),
73
+ (5, 10),
74
+ (6, 8),
75
+ ]
76
+ G = nx.Graph(edges)
77
+ expected = [
78
+ [(1, 3), (3, 2), (2, 1)],
79
+ [(1, 4), (4, 3)],
80
+ [(2, 5), (5, 3)],
81
+ [(5, 10), (10, 9), (9, 5)],
82
+ [(6, 8), (8, 7), (7, 6)],
83
+ ]
84
+ chains = list(nx.chain_decomposition(G, root=1))
85
+ assert len(chains) == len(expected)
86
+
87
+ # This chain decomposition isn't unique
88
+ # for chain in chains:
89
+ # print(chain)
90
+ # self.assertContainsChain(chain, expected)
91
+
92
+ def test_barbell_graph(self):
93
+ # The (3, 0) barbell graph has two triangles joined by a single edge.
94
+ G = nx.barbell_graph(3, 0)
95
+ chains = list(nx.chain_decomposition(G, root=0))
96
+ expected = [[(0, 1), (1, 2), (2, 0)], [(3, 4), (4, 5), (5, 3)]]
97
+ assert len(chains) == len(expected)
98
+ for chain in chains:
99
+ self.assertContainsChain(chain, expected)
100
+
101
+ def test_disconnected_graph(self):
102
+ """Test for a graph with multiple connected components."""
103
+ G = nx.barbell_graph(3, 0)
104
+ H = nx.barbell_graph(3, 0)
105
+ mapping = dict(zip(range(6), "abcdef"))
106
+ nx.relabel_nodes(H, mapping, copy=False)
107
+ G = nx.union(G, H)
108
+ chains = list(nx.chain_decomposition(G))
109
+ expected = [
110
+ [(0, 1), (1, 2), (2, 0)],
111
+ [(3, 4), (4, 5), (5, 3)],
112
+ [("a", "b"), ("b", "c"), ("c", "a")],
113
+ [("d", "e"), ("e", "f"), ("f", "d")],
114
+ ]
115
+ assert len(chains) == len(expected)
116
+ for chain in chains:
117
+ self.assertContainsChain(chain, expected)
118
+
119
+ def test_disconnected_graph_root_node(self):
120
+ """Test for a single component of a disconnected graph."""
121
+ G = nx.barbell_graph(3, 0)
122
+ H = nx.barbell_graph(3, 0)
123
+ mapping = dict(zip(range(6), "abcdef"))
124
+ nx.relabel_nodes(H, mapping, copy=False)
125
+ G = nx.union(G, H)
126
+ chains = list(nx.chain_decomposition(G, root="a"))
127
+ expected = [
128
+ [("a", "b"), ("b", "c"), ("c", "a")],
129
+ [("d", "e"), ("e", "f"), ("f", "d")],
130
+ ]
131
+ assert len(chains) == len(expected)
132
+ for chain in chains:
133
+ self.assertContainsChain(chain, expected)
134
+
135
+ def test_chain_decomposition_root_not_in_G(self):
136
+ """Test chain decomposition when root is not in graph"""
137
+ G = nx.Graph()
138
+ G.add_nodes_from([1, 2, 3])
139
+ with pytest.raises(nx.NodeNotFound):
140
+ nx.has_bridges(G, root=6)
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_core.py ADDED
@@ -0,0 +1,266 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import pytest
2
+
3
+ import networkx as nx
4
+ from networkx.utils import nodes_equal
5
+
6
+
7
+ class TestCore:
8
+ @classmethod
9
+ def setup_class(cls):
10
+ # G is the example graph in Figure 1 from Batagelj and
11
+ # Zaversnik's paper titled An O(m) Algorithm for Cores
12
+ # Decomposition of Networks, 2003,
13
+ # http://arXiv.org/abs/cs/0310049. With nodes labeled as
14
+ # shown, the 3-core is given by nodes 1-8, the 2-core by nodes
15
+ # 9-16, the 1-core by nodes 17-20 and node 21 is in the
16
+ # 0-core.
17
+ t1 = nx.convert_node_labels_to_integers(nx.tetrahedral_graph(), 1)
18
+ t2 = nx.convert_node_labels_to_integers(t1, 5)
19
+ G = nx.union(t1, t2)
20
+ G.add_edges_from(
21
+ [
22
+ (3, 7),
23
+ (2, 11),
24
+ (11, 5),
25
+ (11, 12),
26
+ (5, 12),
27
+ (12, 19),
28
+ (12, 18),
29
+ (3, 9),
30
+ (7, 9),
31
+ (7, 10),
32
+ (9, 10),
33
+ (9, 20),
34
+ (17, 13),
35
+ (13, 14),
36
+ (14, 15),
37
+ (15, 16),
38
+ (16, 13),
39
+ ]
40
+ )
41
+ G.add_node(21)
42
+ cls.G = G
43
+
44
+ # Create the graph H resulting from the degree sequence
45
+ # [0, 1, 2, 2, 2, 2, 3] when using the Havel-Hakimi algorithm.
46
+
47
+ degseq = [0, 1, 2, 2, 2, 2, 3]
48
+ H = nx.havel_hakimi_graph(degseq)
49
+ mapping = {6: 0, 0: 1, 4: 3, 5: 6, 3: 4, 1: 2, 2: 5}
50
+ cls.H = nx.relabel_nodes(H, mapping)
51
+
52
+ def test_trivial(self):
53
+ """Empty graph"""
54
+ G = nx.Graph()
55
+ assert nx.core_number(G) == {}
56
+
57
+ def test_core_number(self):
58
+ core = nx.core_number(self.G)
59
+ nodes_by_core = [sorted(n for n in core if core[n] == val) for val in range(4)]
60
+ assert nodes_equal(nodes_by_core[0], [21])
61
+ assert nodes_equal(nodes_by_core[1], [17, 18, 19, 20])
62
+ assert nodes_equal(nodes_by_core[2], [9, 10, 11, 12, 13, 14, 15, 16])
63
+ assert nodes_equal(nodes_by_core[3], [1, 2, 3, 4, 5, 6, 7, 8])
64
+
65
+ def test_core_number2(self):
66
+ core = nx.core_number(self.H)
67
+ nodes_by_core = [sorted(n for n in core if core[n] == val) for val in range(3)]
68
+ assert nodes_equal(nodes_by_core[0], [0])
69
+ assert nodes_equal(nodes_by_core[1], [1, 3])
70
+ assert nodes_equal(nodes_by_core[2], [2, 4, 5, 6])
71
+
72
+ def test_core_number_multigraph(self):
73
+ G = nx.complete_graph(3)
74
+ G = nx.MultiGraph(G)
75
+ G.add_edge(1, 2)
76
+ with pytest.raises(
77
+ nx.NetworkXNotImplemented, match="not implemented for multigraph type"
78
+ ):
79
+ nx.core_number(G)
80
+
81
+ def test_core_number_self_loop(self):
82
+ G = nx.cycle_graph(3)
83
+ G.add_edge(0, 0)
84
+ with pytest.raises(
85
+ nx.NetworkXNotImplemented, match="Input graph has self loops"
86
+ ):
87
+ nx.core_number(G)
88
+
89
+ def test_directed_core_number(self):
90
+ """core number had a bug for directed graphs found in issue #1959"""
91
+ # small example where too timid edge removal can make cn[2] = 3
92
+ G = nx.DiGraph()
93
+ edges = [(1, 2), (2, 1), (2, 3), (2, 4), (3, 4), (4, 3)]
94
+ G.add_edges_from(edges)
95
+ assert nx.core_number(G) == {1: 2, 2: 2, 3: 2, 4: 2}
96
+ # small example where too aggressive edge removal can make cn[2] = 2
97
+ more_edges = [(1, 5), (3, 5), (4, 5), (3, 6), (4, 6), (5, 6)]
98
+ G.add_edges_from(more_edges)
99
+ assert nx.core_number(G) == {1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}
100
+
101
+ def test_main_core(self):
102
+ main_core_subgraph = nx.k_core(self.H)
103
+ assert sorted(main_core_subgraph.nodes()) == [2, 4, 5, 6]
104
+
105
+ def test_k_core(self):
106
+ # k=0
107
+ k_core_subgraph = nx.k_core(self.H, k=0)
108
+ assert sorted(k_core_subgraph.nodes()) == sorted(self.H.nodes())
109
+ # k=1
110
+ k_core_subgraph = nx.k_core(self.H, k=1)
111
+ assert sorted(k_core_subgraph.nodes()) == [1, 2, 3, 4, 5, 6]
112
+ # k = 2
113
+ k_core_subgraph = nx.k_core(self.H, k=2)
114
+ assert sorted(k_core_subgraph.nodes()) == [2, 4, 5, 6]
115
+
116
+ def test_k_core_multigraph(self):
117
+ core_number = nx.core_number(self.H)
118
+ H = nx.MultiGraph(self.H)
119
+ with pytest.deprecated_call():
120
+ nx.k_core(H, k=0, core_number=core_number)
121
+
122
+ def test_main_crust(self):
123
+ main_crust_subgraph = nx.k_crust(self.H)
124
+ assert sorted(main_crust_subgraph.nodes()) == [0, 1, 3]
125
+
126
+ def test_k_crust(self):
127
+ # k = 0
128
+ k_crust_subgraph = nx.k_crust(self.H, k=2)
129
+ assert sorted(k_crust_subgraph.nodes()) == sorted(self.H.nodes())
130
+ # k=1
131
+ k_crust_subgraph = nx.k_crust(self.H, k=1)
132
+ assert sorted(k_crust_subgraph.nodes()) == [0, 1, 3]
133
+ # k=2
134
+ k_crust_subgraph = nx.k_crust(self.H, k=0)
135
+ assert sorted(k_crust_subgraph.nodes()) == [0]
136
+
137
+ def test_k_crust_multigraph(self):
138
+ core_number = nx.core_number(self.H)
139
+ H = nx.MultiGraph(self.H)
140
+ with pytest.deprecated_call():
141
+ nx.k_crust(H, k=0, core_number=core_number)
142
+
143
+ def test_main_shell(self):
144
+ main_shell_subgraph = nx.k_shell(self.H)
145
+ assert sorted(main_shell_subgraph.nodes()) == [2, 4, 5, 6]
146
+
147
+ def test_k_shell(self):
148
+ # k=0
149
+ k_shell_subgraph = nx.k_shell(self.H, k=2)
150
+ assert sorted(k_shell_subgraph.nodes()) == [2, 4, 5, 6]
151
+ # k=1
152
+ k_shell_subgraph = nx.k_shell(self.H, k=1)
153
+ assert sorted(k_shell_subgraph.nodes()) == [1, 3]
154
+ # k=2
155
+ k_shell_subgraph = nx.k_shell(self.H, k=0)
156
+ assert sorted(k_shell_subgraph.nodes()) == [0]
157
+
158
+ def test_k_shell_multigraph(self):
159
+ core_number = nx.core_number(self.H)
160
+ H = nx.MultiGraph(self.H)
161
+ with pytest.deprecated_call():
162
+ nx.k_shell(H, k=0, core_number=core_number)
163
+
164
+ def test_k_corona(self):
165
+ # k=0
166
+ k_corona_subgraph = nx.k_corona(self.H, k=2)
167
+ assert sorted(k_corona_subgraph.nodes()) == [2, 4, 5, 6]
168
+ # k=1
169
+ k_corona_subgraph = nx.k_corona(self.H, k=1)
170
+ assert sorted(k_corona_subgraph.nodes()) == [1]
171
+ # k=2
172
+ k_corona_subgraph = nx.k_corona(self.H, k=0)
173
+ assert sorted(k_corona_subgraph.nodes()) == [0]
174
+
175
+ def test_k_corona_multigraph(self):
176
+ core_number = nx.core_number(self.H)
177
+ H = nx.MultiGraph(self.H)
178
+ with pytest.deprecated_call():
179
+ nx.k_corona(H, k=0, core_number=core_number)
180
+
181
+ def test_k_truss(self):
182
+ # k=-1
183
+ k_truss_subgraph = nx.k_truss(self.G, -1)
184
+ assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21))
185
+ # k=0
186
+ k_truss_subgraph = nx.k_truss(self.G, 0)
187
+ assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21))
188
+ # k=1
189
+ k_truss_subgraph = nx.k_truss(self.G, 1)
190
+ assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21))
191
+ # k=2
192
+ k_truss_subgraph = nx.k_truss(self.G, 2)
193
+ assert sorted(k_truss_subgraph.nodes()) == list(range(1, 21))
194
+ # k=3
195
+ k_truss_subgraph = nx.k_truss(self.G, 3)
196
+ assert sorted(k_truss_subgraph.nodes()) == list(range(1, 13))
197
+
198
+ k_truss_subgraph = nx.k_truss(self.G, 4)
199
+ assert sorted(k_truss_subgraph.nodes()) == list(range(1, 9))
200
+
201
+ k_truss_subgraph = nx.k_truss(self.G, 5)
202
+ assert sorted(k_truss_subgraph.nodes()) == []
203
+
204
+ def test_k_truss_digraph(self):
205
+ G = nx.complete_graph(3)
206
+ G = nx.DiGraph(G)
207
+ G.add_edge(2, 1)
208
+ with pytest.raises(
209
+ nx.NetworkXNotImplemented, match="not implemented for directed type"
210
+ ):
211
+ nx.k_truss(G, k=1)
212
+
213
+ def test_k_truss_multigraph(self):
214
+ G = nx.complete_graph(3)
215
+ G = nx.MultiGraph(G)
216
+ G.add_edge(1, 2)
217
+ with pytest.raises(
218
+ nx.NetworkXNotImplemented, match="not implemented for multigraph type"
219
+ ):
220
+ nx.k_truss(G, k=1)
221
+
222
+ def test_k_truss_self_loop(self):
223
+ G = nx.cycle_graph(3)
224
+ G.add_edge(0, 0)
225
+ with pytest.raises(
226
+ nx.NetworkXNotImplemented, match="Input graph has self loops"
227
+ ):
228
+ nx.k_truss(G, k=1)
229
+
230
+ def test_onion_layers(self):
231
+ layers = nx.onion_layers(self.G)
232
+ nodes_by_layer = [
233
+ sorted(n for n in layers if layers[n] == val) for val in range(1, 7)
234
+ ]
235
+ assert nodes_equal(nodes_by_layer[0], [21])
236
+ assert nodes_equal(nodes_by_layer[1], [17, 18, 19, 20])
237
+ assert nodes_equal(nodes_by_layer[2], [10, 12, 13, 14, 15, 16])
238
+ assert nodes_equal(nodes_by_layer[3], [9, 11])
239
+ assert nodes_equal(nodes_by_layer[4], [1, 2, 4, 5, 6, 8])
240
+ assert nodes_equal(nodes_by_layer[5], [3, 7])
241
+
242
+ def test_onion_digraph(self):
243
+ G = nx.complete_graph(3)
244
+ G = nx.DiGraph(G)
245
+ G.add_edge(2, 1)
246
+ with pytest.raises(
247
+ nx.NetworkXNotImplemented, match="not implemented for directed type"
248
+ ):
249
+ nx.onion_layers(G)
250
+
251
+ def test_onion_multigraph(self):
252
+ G = nx.complete_graph(3)
253
+ G = nx.MultiGraph(G)
254
+ G.add_edge(1, 2)
255
+ with pytest.raises(
256
+ nx.NetworkXNotImplemented, match="not implemented for multigraph type"
257
+ ):
258
+ nx.onion_layers(G)
259
+
260
+ def test_onion_self_loop(self):
261
+ G = nx.cycle_graph(3)
262
+ G.add_edge(0, 0)
263
+ with pytest.raises(
264
+ nx.NetworkXNotImplemented, match="Input graph contains self loops"
265
+ ):
266
+ nx.onion_layers(G)
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_cycles.py ADDED
@@ -0,0 +1,974 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from itertools import chain, islice, tee
2
+ from math import inf
3
+ from random import shuffle
4
+
5
+ import pytest
6
+
7
+ import networkx as nx
8
+ from networkx.algorithms.traversal.edgedfs import FORWARD, REVERSE
9
+
10
+
11
+ def check_independent(basis):
12
+ if len(basis) == 0:
13
+ return
14
+
15
+ np = pytest.importorskip("numpy")
16
+ sp = pytest.importorskip("scipy") # Required by incidence_matrix
17
+
18
+ H = nx.Graph()
19
+ for b in basis:
20
+ nx.add_cycle(H, b)
21
+ inc = nx.incidence_matrix(H, oriented=True)
22
+ rank = np.linalg.matrix_rank(inc.toarray(), tol=None, hermitian=False)
23
+ assert inc.shape[1] - rank == len(basis)
24
+
25
+
26
+ class TestCycles:
27
+ @classmethod
28
+ def setup_class(cls):
29
+ G = nx.Graph()
30
+ nx.add_cycle(G, [0, 1, 2, 3])
31
+ nx.add_cycle(G, [0, 3, 4, 5])
32
+ nx.add_cycle(G, [0, 1, 6, 7, 8])
33
+ G.add_edge(8, 9)
34
+ cls.G = G
35
+
36
+ def is_cyclic_permutation(self, a, b):
37
+ n = len(a)
38
+ if len(b) != n:
39
+ return False
40
+ l = a + a
41
+ return any(l[i : i + n] == b for i in range(n))
42
+
43
+ def test_cycle_basis(self):
44
+ G = self.G
45
+ cy = nx.cycle_basis(G, 0)
46
+ sort_cy = sorted(sorted(c) for c in cy)
47
+ assert sort_cy == [[0, 1, 2, 3], [0, 1, 6, 7, 8], [0, 3, 4, 5]]
48
+ cy = nx.cycle_basis(G, 1)
49
+ sort_cy = sorted(sorted(c) for c in cy)
50
+ assert sort_cy == [[0, 1, 2, 3], [0, 1, 6, 7, 8], [0, 3, 4, 5]]
51
+ cy = nx.cycle_basis(G, 9)
52
+ sort_cy = sorted(sorted(c) for c in cy)
53
+ assert sort_cy == [[0, 1, 2, 3], [0, 1, 6, 7, 8], [0, 3, 4, 5]]
54
+ # test disconnected graphs
55
+ nx.add_cycle(G, "ABC")
56
+ cy = nx.cycle_basis(G, 9)
57
+ sort_cy = sorted(sorted(c) for c in cy[:-1]) + [sorted(cy[-1])]
58
+ assert sort_cy == [[0, 1, 2, 3], [0, 1, 6, 7, 8], [0, 3, 4, 5], ["A", "B", "C"]]
59
+
60
+ def test_cycle_basis2(self):
61
+ with pytest.raises(nx.NetworkXNotImplemented):
62
+ G = nx.DiGraph()
63
+ cy = nx.cycle_basis(G, 0)
64
+
65
+ def test_cycle_basis3(self):
66
+ with pytest.raises(nx.NetworkXNotImplemented):
67
+ G = nx.MultiGraph()
68
+ cy = nx.cycle_basis(G, 0)
69
+
70
+ def test_cycle_basis_ordered(self):
71
+ # see gh-6654 replace sets with (ordered) dicts
72
+ G = nx.cycle_graph(5)
73
+ G.update(nx.cycle_graph(range(3, 8)))
74
+ cbG = nx.cycle_basis(G)
75
+
76
+ perm = {1: 0, 0: 1} # switch 0 and 1
77
+ H = nx.relabel_nodes(G, perm)
78
+ cbH = [[perm.get(n, n) for n in cyc] for cyc in nx.cycle_basis(H)]
79
+ assert cbG == cbH
80
+
81
+ def test_cycle_basis_self_loop(self):
82
+ """Tests the function for graphs with self loops"""
83
+ G = nx.Graph()
84
+ nx.add_cycle(G, [0, 1, 2, 3])
85
+ nx.add_cycle(G, [0, 0, 6, 2])
86
+ cy = nx.cycle_basis(G)
87
+ sort_cy = sorted(sorted(c) for c in cy)
88
+ assert sort_cy == [[0], [0, 1, 2], [0, 2, 3], [0, 2, 6]]
89
+
90
+ def test_simple_cycles(self):
91
+ edges = [(0, 0), (0, 1), (0, 2), (1, 2), (2, 0), (2, 1), (2, 2)]
92
+ G = nx.DiGraph(edges)
93
+ cc = sorted(nx.simple_cycles(G))
94
+ ca = [[0], [0, 1, 2], [0, 2], [1, 2], [2]]
95
+ assert len(cc) == len(ca)
96
+ for c in cc:
97
+ assert any(self.is_cyclic_permutation(c, rc) for rc in ca)
98
+
99
+ def test_simple_cycles_singleton(self):
100
+ G = nx.Graph([(0, 0)]) # self-loop
101
+ assert list(nx.simple_cycles(G)) == [[0]]
102
+
103
+ def test_unsortable(self):
104
+ # this test ensures that graphs whose nodes without an intrinsic
105
+ # ordering do not cause issues
106
+ G = nx.DiGraph()
107
+ nx.add_cycle(G, ["a", 1])
108
+ c = list(nx.simple_cycles(G))
109
+ assert len(c) == 1
110
+
111
+ def test_simple_cycles_small(self):
112
+ G = nx.DiGraph()
113
+ nx.add_cycle(G, [1, 2, 3])
114
+ c = sorted(nx.simple_cycles(G))
115
+ assert len(c) == 1
116
+ assert self.is_cyclic_permutation(c[0], [1, 2, 3])
117
+ nx.add_cycle(G, [10, 20, 30])
118
+ cc = sorted(nx.simple_cycles(G))
119
+ assert len(cc) == 2
120
+ ca = [[1, 2, 3], [10, 20, 30]]
121
+ for c in cc:
122
+ assert any(self.is_cyclic_permutation(c, rc) for rc in ca)
123
+
124
+ def test_simple_cycles_empty(self):
125
+ G = nx.DiGraph()
126
+ assert list(nx.simple_cycles(G)) == []
127
+
128
+ def worst_case_graph(self, k):
129
+ # see figure 1 in Johnson's paper
130
+ # this graph has exactly 3k simple cycles
131
+ G = nx.DiGraph()
132
+ for n in range(2, k + 2):
133
+ G.add_edge(1, n)
134
+ G.add_edge(n, k + 2)
135
+ G.add_edge(2 * k + 1, 1)
136
+ for n in range(k + 2, 2 * k + 2):
137
+ G.add_edge(n, 2 * k + 2)
138
+ G.add_edge(n, n + 1)
139
+ G.add_edge(2 * k + 3, k + 2)
140
+ for n in range(2 * k + 3, 3 * k + 3):
141
+ G.add_edge(2 * k + 2, n)
142
+ G.add_edge(n, 3 * k + 3)
143
+ G.add_edge(3 * k + 3, 2 * k + 2)
144
+ return G
145
+
146
+ def test_worst_case_graph(self):
147
+ # see figure 1 in Johnson's paper
148
+ for k in range(3, 10):
149
+ G = self.worst_case_graph(k)
150
+ l = len(list(nx.simple_cycles(G)))
151
+ assert l == 3 * k
152
+
153
+ def test_recursive_simple_and_not(self):
154
+ for k in range(2, 10):
155
+ G = self.worst_case_graph(k)
156
+ cc = sorted(nx.simple_cycles(G))
157
+ rcc = sorted(nx.recursive_simple_cycles(G))
158
+ assert len(cc) == len(rcc)
159
+ for c in cc:
160
+ assert any(self.is_cyclic_permutation(c, r) for r in rcc)
161
+ for rc in rcc:
162
+ assert any(self.is_cyclic_permutation(rc, c) for c in cc)
163
+
164
+ def test_simple_graph_with_reported_bug(self):
165
+ G = nx.DiGraph()
166
+ edges = [
167
+ (0, 2),
168
+ (0, 3),
169
+ (1, 0),
170
+ (1, 3),
171
+ (2, 1),
172
+ (2, 4),
173
+ (3, 2),
174
+ (3, 4),
175
+ (4, 0),
176
+ (4, 1),
177
+ (4, 5),
178
+ (5, 0),
179
+ (5, 1),
180
+ (5, 2),
181
+ (5, 3),
182
+ ]
183
+ G.add_edges_from(edges)
184
+ cc = sorted(nx.simple_cycles(G))
185
+ assert len(cc) == 26
186
+ rcc = sorted(nx.recursive_simple_cycles(G))
187
+ assert len(cc) == len(rcc)
188
+ for c in cc:
189
+ assert any(self.is_cyclic_permutation(c, rc) for rc in rcc)
190
+ for rc in rcc:
191
+ assert any(self.is_cyclic_permutation(rc, c) for c in cc)
192
+
193
+
194
+ def pairwise(iterable):
195
+ a, b = tee(iterable)
196
+ next(b, None)
197
+ return zip(a, b)
198
+
199
+
200
+ def cycle_edges(c):
201
+ return pairwise(chain(c, islice(c, 1)))
202
+
203
+
204
+ def directed_cycle_edgeset(c):
205
+ return frozenset(cycle_edges(c))
206
+
207
+
208
+ def undirected_cycle_edgeset(c):
209
+ if len(c) == 1:
210
+ return frozenset(cycle_edges(c))
211
+ return frozenset(map(frozenset, cycle_edges(c)))
212
+
213
+
214
+ def multigraph_cycle_edgeset(c):
215
+ if len(c) <= 2:
216
+ return frozenset(cycle_edges(c))
217
+ else:
218
+ return frozenset(map(frozenset, cycle_edges(c)))
219
+
220
+
221
+ class TestCycleEnumeration:
222
+ @staticmethod
223
+ def K(n):
224
+ return nx.complete_graph(n)
225
+
226
+ @staticmethod
227
+ def D(n):
228
+ return nx.complete_graph(n).to_directed()
229
+
230
+ @staticmethod
231
+ def edgeset_function(g):
232
+ if g.is_directed():
233
+ return directed_cycle_edgeset
234
+ elif g.is_multigraph():
235
+ return multigraph_cycle_edgeset
236
+ else:
237
+ return undirected_cycle_edgeset
238
+
239
+ def check_cycle(self, g, c, es, cache, source, original_c, length_bound, chordless):
240
+ if length_bound is not None and len(c) > length_bound:
241
+ raise RuntimeError(
242
+ f"computed cycle {original_c} exceeds length bound {length_bound}"
243
+ )
244
+ if source == "computed":
245
+ if es in cache:
246
+ raise RuntimeError(
247
+ f"computed cycle {original_c} has already been found!"
248
+ )
249
+ else:
250
+ cache[es] = tuple(original_c)
251
+ else:
252
+ if es in cache:
253
+ cache.pop(es)
254
+ else:
255
+ raise RuntimeError(f"expected cycle {original_c} was not computed")
256
+
257
+ if not all(g.has_edge(*e) for e in es):
258
+ raise RuntimeError(
259
+ f"{source} claimed cycle {original_c} is not a cycle of g"
260
+ )
261
+ if chordless and len(g.subgraph(c).edges) > len(c):
262
+ raise RuntimeError(f"{source} cycle {original_c} is not chordless")
263
+
264
+ def check_cycle_algorithm(
265
+ self,
266
+ g,
267
+ expected_cycles,
268
+ length_bound=None,
269
+ chordless=False,
270
+ algorithm=None,
271
+ ):
272
+ if algorithm is None:
273
+ algorithm = nx.chordless_cycles if chordless else nx.simple_cycles
274
+
275
+ # note: we shuffle the labels of g to rule out accidentally-correct
276
+ # behavior which occurred during the development of chordless cycle
277
+ # enumeration algorithms
278
+
279
+ relabel = list(range(len(g)))
280
+ shuffle(relabel)
281
+ label = dict(zip(g, relabel))
282
+ unlabel = dict(zip(relabel, g))
283
+ h = nx.relabel_nodes(g, label, copy=True)
284
+
285
+ edgeset = self.edgeset_function(h)
286
+
287
+ params = {}
288
+ if length_bound is not None:
289
+ params["length_bound"] = length_bound
290
+
291
+ cycle_cache = {}
292
+ for c in algorithm(h, **params):
293
+ original_c = [unlabel[x] for x in c]
294
+ es = edgeset(c)
295
+ self.check_cycle(
296
+ h, c, es, cycle_cache, "computed", original_c, length_bound, chordless
297
+ )
298
+
299
+ if isinstance(expected_cycles, int):
300
+ if len(cycle_cache) != expected_cycles:
301
+ raise RuntimeError(
302
+ f"expected {expected_cycles} cycles, got {len(cycle_cache)}"
303
+ )
304
+ return
305
+ for original_c in expected_cycles:
306
+ c = [label[x] for x in original_c]
307
+ es = edgeset(c)
308
+ self.check_cycle(
309
+ h, c, es, cycle_cache, "expected", original_c, length_bound, chordless
310
+ )
311
+
312
+ if len(cycle_cache):
313
+ for c in cycle_cache.values():
314
+ raise RuntimeError(
315
+ f"computed cycle {c} is valid but not in the expected cycle set!"
316
+ )
317
+
318
+ def check_cycle_enumeration_integer_sequence(
319
+ self,
320
+ g_family,
321
+ cycle_counts,
322
+ length_bound=None,
323
+ chordless=False,
324
+ algorithm=None,
325
+ ):
326
+ for g, num_cycles in zip(g_family, cycle_counts):
327
+ self.check_cycle_algorithm(
328
+ g,
329
+ num_cycles,
330
+ length_bound=length_bound,
331
+ chordless=chordless,
332
+ algorithm=algorithm,
333
+ )
334
+
335
+ def test_directed_chordless_cycle_digons(self):
336
+ g = nx.DiGraph()
337
+ nx.add_cycle(g, range(5))
338
+ nx.add_cycle(g, range(5)[::-1])
339
+ g.add_edge(0, 0)
340
+ expected_cycles = [(0,), (1, 2), (2, 3), (3, 4)]
341
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True)
342
+
343
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True, length_bound=2)
344
+
345
+ expected_cycles = [c for c in expected_cycles if len(c) < 2]
346
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True, length_bound=1)
347
+
348
+ def test_directed_chordless_cycle_undirected(self):
349
+ g = nx.DiGraph([(1, 2), (2, 3), (3, 4), (4, 5), (5, 0), (5, 1), (0, 2)])
350
+ expected_cycles = [(0, 2, 3, 4, 5), (1, 2, 3, 4, 5)]
351
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True)
352
+
353
+ g = nx.DiGraph()
354
+ nx.add_cycle(g, range(5))
355
+ nx.add_cycle(g, range(4, 9))
356
+ g.add_edge(7, 3)
357
+ expected_cycles = [(0, 1, 2, 3, 4), (3, 4, 5, 6, 7), (4, 5, 6, 7, 8)]
358
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True)
359
+
360
+ g.add_edge(3, 7)
361
+ expected_cycles = [(0, 1, 2, 3, 4), (3, 7), (4, 5, 6, 7, 8)]
362
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True)
363
+
364
+ expected_cycles = [(3, 7)]
365
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True, length_bound=4)
366
+
367
+ g.remove_edge(7, 3)
368
+ expected_cycles = [(0, 1, 2, 3, 4), (4, 5, 6, 7, 8)]
369
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True)
370
+
371
+ g = nx.DiGraph((i, j) for i in range(10) for j in range(i))
372
+ expected_cycles = []
373
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True)
374
+
375
+ def test_chordless_cycles_directed(self):
376
+ G = nx.DiGraph()
377
+ nx.add_cycle(G, range(5))
378
+ nx.add_cycle(G, range(4, 12))
379
+ expected = [[*range(5)], [*range(4, 12)]]
380
+ self.check_cycle_algorithm(G, expected, chordless=True)
381
+ self.check_cycle_algorithm(
382
+ G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True
383
+ )
384
+
385
+ G.add_edge(7, 3)
386
+ expected.append([*range(3, 8)])
387
+ self.check_cycle_algorithm(G, expected, chordless=True)
388
+ self.check_cycle_algorithm(
389
+ G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True
390
+ )
391
+
392
+ G.add_edge(3, 7)
393
+ expected[-1] = [7, 3]
394
+ self.check_cycle_algorithm(G, expected, chordless=True)
395
+ self.check_cycle_algorithm(
396
+ G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True
397
+ )
398
+
399
+ expected.pop()
400
+ G.remove_edge(7, 3)
401
+ self.check_cycle_algorithm(G, expected, chordless=True)
402
+ self.check_cycle_algorithm(
403
+ G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True
404
+ )
405
+
406
+ def test_directed_chordless_cycle_diclique(self):
407
+ g_family = [self.D(n) for n in range(10)]
408
+ expected_cycles = [(n * n - n) // 2 for n in range(10)]
409
+ self.check_cycle_enumeration_integer_sequence(
410
+ g_family, expected_cycles, chordless=True
411
+ )
412
+
413
+ expected_cycles = [(n * n - n) // 2 for n in range(10)]
414
+ self.check_cycle_enumeration_integer_sequence(
415
+ g_family, expected_cycles, length_bound=2
416
+ )
417
+
418
+ def test_directed_chordless_loop_blockade(self):
419
+ g = nx.DiGraph((i, i) for i in range(10))
420
+ nx.add_cycle(g, range(10))
421
+ expected_cycles = [(i,) for i in range(10)]
422
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True)
423
+
424
+ self.check_cycle_algorithm(g, expected_cycles, length_bound=1)
425
+
426
+ g = nx.MultiDiGraph(g)
427
+ g.add_edges_from((i, i) for i in range(0, 10, 2))
428
+ expected_cycles = [(i,) for i in range(1, 10, 2)]
429
+ self.check_cycle_algorithm(g, expected_cycles, chordless=True)
430
+
431
+ def test_simple_cycles_notable_clique_sequences(self):
432
+ # A000292: Number of labeled graphs on n+3 nodes that are triangles.
433
+ g_family = [self.K(n) for n in range(2, 12)]
434
+ expected = [0, 1, 4, 10, 20, 35, 56, 84, 120, 165, 220]
435
+ self.check_cycle_enumeration_integer_sequence(
436
+ g_family, expected, length_bound=3
437
+ )
438
+
439
+ def triangles(g, **kwargs):
440
+ yield from (c for c in nx.simple_cycles(g, **kwargs) if len(c) == 3)
441
+
442
+ # directed complete graphs have twice as many triangles thanks to reversal
443
+ g_family = [self.D(n) for n in range(2, 12)]
444
+ expected = [2 * e for e in expected]
445
+ self.check_cycle_enumeration_integer_sequence(
446
+ g_family, expected, length_bound=3, algorithm=triangles
447
+ )
448
+
449
+ def four_cycles(g, **kwargs):
450
+ yield from (c for c in nx.simple_cycles(g, **kwargs) if len(c) == 4)
451
+
452
+ # A050534: the number of 4-cycles in the complete graph K_{n+1}
453
+ expected = [0, 0, 0, 3, 15, 45, 105, 210, 378, 630, 990]
454
+ g_family = [self.K(n) for n in range(1, 12)]
455
+ self.check_cycle_enumeration_integer_sequence(
456
+ g_family, expected, length_bound=4, algorithm=four_cycles
457
+ )
458
+
459
+ # directed complete graphs have twice as many 4-cycles thanks to reversal
460
+ expected = [2 * e for e in expected]
461
+ g_family = [self.D(n) for n in range(1, 15)]
462
+ self.check_cycle_enumeration_integer_sequence(
463
+ g_family, expected, length_bound=4, algorithm=four_cycles
464
+ )
465
+
466
+ # A006231: the number of elementary circuits in a complete directed graph with n nodes
467
+ expected = [0, 1, 5, 20, 84, 409, 2365]
468
+ g_family = [self.D(n) for n in range(1, 8)]
469
+ self.check_cycle_enumeration_integer_sequence(g_family, expected)
470
+
471
+ # A002807: Number of cycles in the complete graph on n nodes K_{n}.
472
+ expected = [0, 0, 0, 1, 7, 37, 197, 1172]
473
+ g_family = [self.K(n) for n in range(8)]
474
+ self.check_cycle_enumeration_integer_sequence(g_family, expected)
475
+
476
+ def test_directed_chordless_cycle_parallel_multiedges(self):
477
+ g = nx.MultiGraph()
478
+
479
+ nx.add_cycle(g, range(5))
480
+ expected = [[*range(5)]]
481
+ self.check_cycle_algorithm(g, expected, chordless=True)
482
+
483
+ nx.add_cycle(g, range(5))
484
+ expected = [*cycle_edges(range(5))]
485
+ self.check_cycle_algorithm(g, expected, chordless=True)
486
+
487
+ nx.add_cycle(g, range(5))
488
+ expected = []
489
+ self.check_cycle_algorithm(g, expected, chordless=True)
490
+
491
+ g = nx.MultiDiGraph()
492
+
493
+ nx.add_cycle(g, range(5))
494
+ expected = [[*range(5)]]
495
+ self.check_cycle_algorithm(g, expected, chordless=True)
496
+
497
+ nx.add_cycle(g, range(5))
498
+ self.check_cycle_algorithm(g, [], chordless=True)
499
+
500
+ nx.add_cycle(g, range(5))
501
+ self.check_cycle_algorithm(g, [], chordless=True)
502
+
503
+ g = nx.MultiDiGraph()
504
+
505
+ nx.add_cycle(g, range(5))
506
+ nx.add_cycle(g, range(5)[::-1])
507
+ expected = [*cycle_edges(range(5))]
508
+ self.check_cycle_algorithm(g, expected, chordless=True)
509
+
510
+ nx.add_cycle(g, range(5))
511
+ self.check_cycle_algorithm(g, [], chordless=True)
512
+
513
+ def test_chordless_cycles_graph(self):
514
+ G = nx.Graph()
515
+ nx.add_cycle(G, range(5))
516
+ nx.add_cycle(G, range(4, 12))
517
+ expected = [[*range(5)], [*range(4, 12)]]
518
+ self.check_cycle_algorithm(G, expected, chordless=True)
519
+ self.check_cycle_algorithm(
520
+ G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True
521
+ )
522
+
523
+ G.add_edge(7, 3)
524
+ expected.append([*range(3, 8)])
525
+ expected.append([4, 3, 7, 8, 9, 10, 11])
526
+ self.check_cycle_algorithm(G, expected, chordless=True)
527
+ self.check_cycle_algorithm(
528
+ G, [c for c in expected if len(c) <= 5], length_bound=5, chordless=True
529
+ )
530
+
531
+ def test_chordless_cycles_giant_hamiltonian(self):
532
+ # ... o - e - o - e - o ... # o = odd, e = even
533
+ # ... ---/ \-----/ \--- ... # <-- "long" edges
534
+ #
535
+ # each long edge belongs to exactly one triangle, and one giant cycle
536
+ # of length n/2. The remaining edges each belong to a triangle
537
+
538
+ n = 1000
539
+ assert n % 2 == 0
540
+ G = nx.Graph()
541
+ for v in range(n):
542
+ if not v % 2:
543
+ G.add_edge(v, (v + 2) % n)
544
+ G.add_edge(v, (v + 1) % n)
545
+
546
+ expected = [[*range(0, n, 2)]] + [
547
+ [x % n for x in range(i, i + 3)] for i in range(0, n, 2)
548
+ ]
549
+ self.check_cycle_algorithm(G, expected, chordless=True)
550
+ self.check_cycle_algorithm(
551
+ G, [c for c in expected if len(c) <= 3], length_bound=3, chordless=True
552
+ )
553
+
554
+ # ... o -> e -> o -> e -> o ... # o = odd, e = even
555
+ # ... <---/ \---<---/ \---< ... # <-- "long" edges
556
+ #
557
+ # this time, we orient the short and long edges in opposition
558
+ # the cycle structure of this graph is the same, but we need to reverse
559
+ # the long one in our representation. Also, we need to drop the size
560
+ # because our partitioning algorithm uses strongly connected components
561
+ # instead of separating graphs by their strong articulation points
562
+
563
+ n = 100
564
+ assert n % 2 == 0
565
+ G = nx.DiGraph()
566
+ for v in range(n):
567
+ G.add_edge(v, (v + 1) % n)
568
+ if not v % 2:
569
+ G.add_edge((v + 2) % n, v)
570
+
571
+ expected = [[*range(n - 2, -2, -2)]] + [
572
+ [x % n for x in range(i, i + 3)] for i in range(0, n, 2)
573
+ ]
574
+ self.check_cycle_algorithm(G, expected, chordless=True)
575
+ self.check_cycle_algorithm(
576
+ G, [c for c in expected if len(c) <= 3], length_bound=3, chordless=True
577
+ )
578
+
579
+ def test_simple_cycles_acyclic_tournament(self):
580
+ n = 10
581
+ G = nx.DiGraph((x, y) for x in range(n) for y in range(x))
582
+ self.check_cycle_algorithm(G, [])
583
+ self.check_cycle_algorithm(G, [], chordless=True)
584
+
585
+ for k in range(n + 1):
586
+ self.check_cycle_algorithm(G, [], length_bound=k)
587
+ self.check_cycle_algorithm(G, [], length_bound=k, chordless=True)
588
+
589
+ def test_simple_cycles_graph(self):
590
+ testG = nx.cycle_graph(8)
591
+ cyc1 = tuple(range(8))
592
+ self.check_cycle_algorithm(testG, [cyc1])
593
+
594
+ testG.add_edge(4, -1)
595
+ nx.add_path(testG, [3, -2, -3, -4])
596
+ self.check_cycle_algorithm(testG, [cyc1])
597
+
598
+ testG.update(nx.cycle_graph(range(8, 16)))
599
+ cyc2 = tuple(range(8, 16))
600
+ self.check_cycle_algorithm(testG, [cyc1, cyc2])
601
+
602
+ testG.update(nx.cycle_graph(range(4, 12)))
603
+ cyc3 = tuple(range(4, 12))
604
+ expected = {
605
+ (0, 1, 2, 3, 4, 5, 6, 7), # cyc1
606
+ (8, 9, 10, 11, 12, 13, 14, 15), # cyc2
607
+ (4, 5, 6, 7, 8, 9, 10, 11), # cyc3
608
+ (4, 5, 6, 7, 8, 15, 14, 13, 12, 11), # cyc2 + cyc3
609
+ (0, 1, 2, 3, 4, 11, 10, 9, 8, 7), # cyc1 + cyc3
610
+ (0, 1, 2, 3, 4, 11, 12, 13, 14, 15, 8, 7), # cyc1 + cyc2 + cyc3
611
+ }
612
+ self.check_cycle_algorithm(testG, expected)
613
+ assert len(expected) == (2**3 - 1) - 1 # 1 disjoint comb: cyc1 + cyc2
614
+
615
+ # Basis size = 5 (2 loops overlapping gives 5 small loops
616
+ # E
617
+ # / \ Note: A-F = 10-15
618
+ # 1-2-3-4-5
619
+ # / | | \ cyc1=012DAB -- left
620
+ # 0 D F 6 cyc2=234E -- top
621
+ # \ | | / cyc3=45678F -- right
622
+ # B-A-9-8-7 cyc4=89AC -- bottom
623
+ # \ / cyc5=234F89AD -- middle
624
+ # C
625
+ #
626
+ # combinations of 5 basis elements: 2^5 - 1 (one includes no cycles)
627
+ #
628
+ # disjoint combs: (11 total) not simple cycles
629
+ # Any pair not including cyc5 => choose(4, 2) = 6
630
+ # Any triple not including cyc5 => choose(4, 3) = 4
631
+ # Any quad not including cyc5 => choose(4, 4) = 1
632
+ #
633
+ # we expect 31 - 11 = 20 simple cycles
634
+ #
635
+ testG = nx.cycle_graph(12)
636
+ testG.update(nx.cycle_graph([12, 10, 13, 2, 14, 4, 15, 8]).edges)
637
+ expected = (2**5 - 1) - 11 # 11 disjoint combinations
638
+ self.check_cycle_algorithm(testG, expected)
639
+
640
+ def test_simple_cycles_bounded(self):
641
+ # iteratively construct a cluster of nested cycles running in the same direction
642
+ # there should be one cycle of every length
643
+ d = nx.DiGraph()
644
+ expected = []
645
+ for n in range(10):
646
+ nx.add_cycle(d, range(n))
647
+ expected.append(n)
648
+ for k, e in enumerate(expected):
649
+ self.check_cycle_algorithm(d, e, length_bound=k)
650
+
651
+ # iteratively construct a path of undirected cycles, connected at articulation
652
+ # points. there should be one cycle of every length except 2: no digons
653
+ g = nx.Graph()
654
+ top = 0
655
+ expected = []
656
+ for n in range(10):
657
+ expected.append(n if n < 2 else n - 1)
658
+ if n == 2:
659
+ # no digons in undirected graphs
660
+ continue
661
+ nx.add_cycle(g, range(top, top + n))
662
+ top += n
663
+ for k, e in enumerate(expected):
664
+ self.check_cycle_algorithm(g, e, length_bound=k)
665
+
666
+ def test_simple_cycles_bound_corner_cases(self):
667
+ G = nx.cycle_graph(4)
668
+ DG = nx.cycle_graph(4, create_using=nx.DiGraph)
669
+ assert list(nx.simple_cycles(G, length_bound=0)) == []
670
+ assert list(nx.simple_cycles(DG, length_bound=0)) == []
671
+ assert list(nx.chordless_cycles(G, length_bound=0)) == []
672
+ assert list(nx.chordless_cycles(DG, length_bound=0)) == []
673
+
674
+ def test_simple_cycles_bound_error(self):
675
+ with pytest.raises(ValueError):
676
+ G = nx.DiGraph()
677
+ for c in nx.simple_cycles(G, -1):
678
+ assert False
679
+
680
+ with pytest.raises(ValueError):
681
+ G = nx.Graph()
682
+ for c in nx.simple_cycles(G, -1):
683
+ assert False
684
+
685
+ with pytest.raises(ValueError):
686
+ G = nx.Graph()
687
+ for c in nx.chordless_cycles(G, -1):
688
+ assert False
689
+
690
+ with pytest.raises(ValueError):
691
+ G = nx.DiGraph()
692
+ for c in nx.chordless_cycles(G, -1):
693
+ assert False
694
+
695
+ def test_chordless_cycles_clique(self):
696
+ g_family = [self.K(n) for n in range(2, 15)]
697
+ expected = [0, 1, 4, 10, 20, 35, 56, 84, 120, 165, 220, 286, 364]
698
+ self.check_cycle_enumeration_integer_sequence(
699
+ g_family, expected, chordless=True
700
+ )
701
+
702
+ # directed cliques have as many digons as undirected graphs have edges
703
+ expected = [(n * n - n) // 2 for n in range(15)]
704
+ g_family = [self.D(n) for n in range(15)]
705
+ self.check_cycle_enumeration_integer_sequence(
706
+ g_family, expected, chordless=True
707
+ )
708
+
709
+
710
+ # These tests might fail with hash randomization since they depend on
711
+ # edge_dfs. For more information, see the comments in:
712
+ # networkx/algorithms/traversal/tests/test_edgedfs.py
713
+
714
+
715
+ class TestFindCycle:
716
+ @classmethod
717
+ def setup_class(cls):
718
+ cls.nodes = [0, 1, 2, 3]
719
+ cls.edges = [(-1, 0), (0, 1), (1, 0), (1, 0), (2, 1), (3, 1)]
720
+
721
+ def test_graph_nocycle(self):
722
+ G = nx.Graph(self.edges)
723
+ pytest.raises(nx.exception.NetworkXNoCycle, nx.find_cycle, G, self.nodes)
724
+
725
+ def test_graph_cycle(self):
726
+ G = nx.Graph(self.edges)
727
+ G.add_edge(2, 0)
728
+ x = list(nx.find_cycle(G, self.nodes))
729
+ x_ = [(0, 1), (1, 2), (2, 0)]
730
+ assert x == x_
731
+
732
+ def test_graph_orientation_none(self):
733
+ G = nx.Graph(self.edges)
734
+ G.add_edge(2, 0)
735
+ x = list(nx.find_cycle(G, self.nodes, orientation=None))
736
+ x_ = [(0, 1), (1, 2), (2, 0)]
737
+ assert x == x_
738
+
739
+ def test_graph_orientation_original(self):
740
+ G = nx.Graph(self.edges)
741
+ G.add_edge(2, 0)
742
+ x = list(nx.find_cycle(G, self.nodes, orientation="original"))
743
+ x_ = [(0, 1, FORWARD), (1, 2, FORWARD), (2, 0, FORWARD)]
744
+ assert x == x_
745
+
746
+ def test_digraph(self):
747
+ G = nx.DiGraph(self.edges)
748
+ x = list(nx.find_cycle(G, self.nodes))
749
+ x_ = [(0, 1), (1, 0)]
750
+ assert x == x_
751
+
752
+ def test_digraph_orientation_none(self):
753
+ G = nx.DiGraph(self.edges)
754
+ x = list(nx.find_cycle(G, self.nodes, orientation=None))
755
+ x_ = [(0, 1), (1, 0)]
756
+ assert x == x_
757
+
758
+ def test_digraph_orientation_original(self):
759
+ G = nx.DiGraph(self.edges)
760
+ x = list(nx.find_cycle(G, self.nodes, orientation="original"))
761
+ x_ = [(0, 1, FORWARD), (1, 0, FORWARD)]
762
+ assert x == x_
763
+
764
+ def test_multigraph(self):
765
+ G = nx.MultiGraph(self.edges)
766
+ x = list(nx.find_cycle(G, self.nodes))
767
+ x_ = [(0, 1, 0), (1, 0, 1)] # or (1, 0, 2)
768
+ # Hash randomization...could be any edge.
769
+ assert x[0] == x_[0]
770
+ assert x[1][:2] == x_[1][:2]
771
+
772
+ def test_multidigraph(self):
773
+ G = nx.MultiDiGraph(self.edges)
774
+ x = list(nx.find_cycle(G, self.nodes))
775
+ x_ = [(0, 1, 0), (1, 0, 0)] # (1, 0, 1)
776
+ assert x[0] == x_[0]
777
+ assert x[1][:2] == x_[1][:2]
778
+
779
+ def test_digraph_ignore(self):
780
+ G = nx.DiGraph(self.edges)
781
+ x = list(nx.find_cycle(G, self.nodes, orientation="ignore"))
782
+ x_ = [(0, 1, FORWARD), (1, 0, FORWARD)]
783
+ assert x == x_
784
+
785
+ def test_digraph_reverse(self):
786
+ G = nx.DiGraph(self.edges)
787
+ x = list(nx.find_cycle(G, self.nodes, orientation="reverse"))
788
+ x_ = [(1, 0, REVERSE), (0, 1, REVERSE)]
789
+ assert x == x_
790
+
791
+ def test_multidigraph_ignore(self):
792
+ G = nx.MultiDiGraph(self.edges)
793
+ x = list(nx.find_cycle(G, self.nodes, orientation="ignore"))
794
+ x_ = [(0, 1, 0, FORWARD), (1, 0, 0, FORWARD)] # or (1, 0, 1, 1)
795
+ assert x[0] == x_[0]
796
+ assert x[1][:2] == x_[1][:2]
797
+ assert x[1][3] == x_[1][3]
798
+
799
+ def test_multidigraph_ignore2(self):
800
+ # Loop traversed an edge while ignoring its orientation.
801
+ G = nx.MultiDiGraph([(0, 1), (1, 2), (1, 2)])
802
+ x = list(nx.find_cycle(G, [0, 1, 2], orientation="ignore"))
803
+ x_ = [(1, 2, 0, FORWARD), (1, 2, 1, REVERSE)]
804
+ assert x == x_
805
+
806
+ def test_multidigraph_original(self):
807
+ # Node 2 doesn't need to be searched again from visited from 4.
808
+ # The goal here is to cover the case when 2 to be researched from 4,
809
+ # when 4 is visited from the first time (so we must make sure that 4
810
+ # is not visited from 2, and hence, we respect the edge orientation).
811
+ G = nx.MultiDiGraph([(0, 1), (1, 2), (2, 3), (4, 2)])
812
+ pytest.raises(
813
+ nx.exception.NetworkXNoCycle,
814
+ nx.find_cycle,
815
+ G,
816
+ [0, 1, 2, 3, 4],
817
+ orientation="original",
818
+ )
819
+
820
+ def test_dag(self):
821
+ G = nx.DiGraph([(0, 1), (0, 2), (1, 2)])
822
+ pytest.raises(
823
+ nx.exception.NetworkXNoCycle, nx.find_cycle, G, orientation="original"
824
+ )
825
+ x = list(nx.find_cycle(G, orientation="ignore"))
826
+ assert x == [(0, 1, FORWARD), (1, 2, FORWARD), (0, 2, REVERSE)]
827
+
828
+ def test_prev_explored(self):
829
+ # https://github.com/networkx/networkx/issues/2323
830
+
831
+ G = nx.DiGraph()
832
+ G.add_edges_from([(1, 0), (2, 0), (1, 2), (2, 1)])
833
+ pytest.raises(nx.NetworkXNoCycle, nx.find_cycle, G, source=0)
834
+ x = list(nx.find_cycle(G, 1))
835
+ x_ = [(1, 2), (2, 1)]
836
+ assert x == x_
837
+
838
+ x = list(nx.find_cycle(G, 2))
839
+ x_ = [(2, 1), (1, 2)]
840
+ assert x == x_
841
+
842
+ x = list(nx.find_cycle(G))
843
+ x_ = [(1, 2), (2, 1)]
844
+ assert x == x_
845
+
846
+ def test_no_cycle(self):
847
+ # https://github.com/networkx/networkx/issues/2439
848
+
849
+ G = nx.DiGraph()
850
+ G.add_edges_from([(1, 2), (2, 0), (3, 1), (3, 2)])
851
+ pytest.raises(nx.NetworkXNoCycle, nx.find_cycle, G, source=0)
852
+ pytest.raises(nx.NetworkXNoCycle, nx.find_cycle, G)
853
+
854
+
855
+ def assert_basis_equal(a, b):
856
+ assert sorted(a) == sorted(b)
857
+
858
+
859
+ class TestMinimumCycleBasis:
860
+ @classmethod
861
+ def setup_class(cls):
862
+ T = nx.Graph()
863
+ nx.add_cycle(T, [1, 2, 3, 4], weight=1)
864
+ T.add_edge(2, 4, weight=5)
865
+ cls.diamond_graph = T
866
+
867
+ def test_unweighted_diamond(self):
868
+ mcb = nx.minimum_cycle_basis(self.diamond_graph)
869
+ assert_basis_equal(mcb, [[2, 4, 1], [3, 4, 2]])
870
+
871
+ def test_weighted_diamond(self):
872
+ mcb = nx.minimum_cycle_basis(self.diamond_graph, weight="weight")
873
+ assert_basis_equal(mcb, [[2, 4, 1], [4, 3, 2, 1]])
874
+
875
+ def test_dimensionality(self):
876
+ # checks |MCB|=|E|-|V|+|NC|
877
+ ntrial = 10
878
+ for seed in range(1234, 1234 + ntrial):
879
+ rg = nx.erdos_renyi_graph(10, 0.3, seed=seed)
880
+ nnodes = rg.number_of_nodes()
881
+ nedges = rg.number_of_edges()
882
+ ncomp = nx.number_connected_components(rg)
883
+
884
+ mcb = nx.minimum_cycle_basis(rg)
885
+ assert len(mcb) == nedges - nnodes + ncomp
886
+ check_independent(mcb)
887
+
888
+ def test_complete_graph(self):
889
+ cg = nx.complete_graph(5)
890
+ mcb = nx.minimum_cycle_basis(cg)
891
+ assert all(len(cycle) == 3 for cycle in mcb)
892
+ check_independent(mcb)
893
+
894
+ def test_tree_graph(self):
895
+ tg = nx.balanced_tree(3, 3)
896
+ assert not nx.minimum_cycle_basis(tg)
897
+
898
+ def test_petersen_graph(self):
899
+ G = nx.petersen_graph()
900
+ mcb = list(nx.minimum_cycle_basis(G))
901
+ expected = [
902
+ [4, 9, 7, 5, 0],
903
+ [1, 2, 3, 4, 0],
904
+ [1, 6, 8, 5, 0],
905
+ [4, 3, 8, 5, 0],
906
+ [1, 6, 9, 4, 0],
907
+ [1, 2, 7, 5, 0],
908
+ ]
909
+ assert len(mcb) == len(expected)
910
+ assert all(c in expected for c in mcb)
911
+
912
+ # check that order of the nodes is a path
913
+ for c in mcb:
914
+ assert all(G.has_edge(u, v) for u, v in nx.utils.pairwise(c, cyclic=True))
915
+ # check independence of the basis
916
+ check_independent(mcb)
917
+
918
+ def test_gh6787_variable_weighted_complete_graph(self):
919
+ N = 8
920
+ cg = nx.complete_graph(N)
921
+ cg.add_weighted_edges_from([(u, v, 9) for u, v in cg.edges])
922
+ cg.add_weighted_edges_from([(u, v, 1) for u, v in nx.cycle_graph(N).edges])
923
+ mcb = nx.minimum_cycle_basis(cg, weight="weight")
924
+ check_independent(mcb)
925
+
926
+ def test_gh6787_and_edge_attribute_names(self):
927
+ G = nx.cycle_graph(4)
928
+ G.add_weighted_edges_from([(0, 2, 10), (1, 3, 10)], weight="dist")
929
+ expected = [[1, 3, 0], [3, 2, 1, 0], [1, 2, 0]]
930
+ mcb = list(nx.minimum_cycle_basis(G, weight="dist"))
931
+ assert len(mcb) == len(expected)
932
+ assert all(c in expected for c in mcb)
933
+
934
+ # test not using a weight with weight attributes
935
+ expected = [[1, 3, 0], [1, 2, 0], [3, 2, 0]]
936
+ mcb = list(nx.minimum_cycle_basis(G))
937
+ assert len(mcb) == len(expected)
938
+ assert all(c in expected for c in mcb)
939
+
940
+
941
+ class TestGirth:
942
+ @pytest.mark.parametrize(
943
+ ("G", "expected"),
944
+ (
945
+ (nx.chvatal_graph(), 4),
946
+ (nx.tutte_graph(), 4),
947
+ (nx.petersen_graph(), 5),
948
+ (nx.heawood_graph(), 6),
949
+ (nx.pappus_graph(), 6),
950
+ (nx.random_tree(10, seed=42), inf),
951
+ (nx.empty_graph(10), inf),
952
+ (nx.Graph(chain(cycle_edges(range(5)), cycle_edges(range(6, 10)))), 4),
953
+ (
954
+ nx.Graph(
955
+ [
956
+ (0, 6),
957
+ (0, 8),
958
+ (0, 9),
959
+ (1, 8),
960
+ (2, 8),
961
+ (2, 9),
962
+ (4, 9),
963
+ (5, 9),
964
+ (6, 8),
965
+ (6, 9),
966
+ (7, 8),
967
+ ]
968
+ ),
969
+ 3,
970
+ ),
971
+ ),
972
+ )
973
+ def test_girth(self, G, expected):
974
+ assert nx.girth(G) == expected
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_distance_measures.py ADDED
@@ -0,0 +1,756 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ from random import Random
2
+
3
+ import pytest
4
+
5
+ import networkx as nx
6
+ from networkx import convert_node_labels_to_integers as cnlti
7
+ from networkx.algorithms.distance_measures import _extrema_bounding
8
+
9
+
10
+ def test__extrema_bounding_invalid_compute_kwarg():
11
+ G = nx.path_graph(3)
12
+ with pytest.raises(ValueError, match="compute must be one of"):
13
+ _extrema_bounding(G, compute="spam")
14
+
15
+
16
+ class TestDistance:
17
+ def setup_method(self):
18
+ G = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted")
19
+ self.G = G
20
+
21
+ def test_eccentricity(self):
22
+ assert nx.eccentricity(self.G, 1) == 6
23
+ e = nx.eccentricity(self.G)
24
+ assert e[1] == 6
25
+
26
+ sp = dict(nx.shortest_path_length(self.G))
27
+ e = nx.eccentricity(self.G, sp=sp)
28
+ assert e[1] == 6
29
+
30
+ e = nx.eccentricity(self.G, v=1)
31
+ assert e == 6
32
+
33
+ # This behavior changed in version 1.8 (ticket #739)
34
+ e = nx.eccentricity(self.G, v=[1, 1])
35
+ assert e[1] == 6
36
+ e = nx.eccentricity(self.G, v=[1, 2])
37
+ assert e[1] == 6
38
+
39
+ # test against graph with one node
40
+ G = nx.path_graph(1)
41
+ e = nx.eccentricity(G)
42
+ assert e[0] == 0
43
+ e = nx.eccentricity(G, v=0)
44
+ assert e == 0
45
+ pytest.raises(nx.NetworkXError, nx.eccentricity, G, 1)
46
+
47
+ # test against empty graph
48
+ G = nx.empty_graph()
49
+ e = nx.eccentricity(G)
50
+ assert e == {}
51
+
52
+ def test_diameter(self):
53
+ assert nx.diameter(self.G) == 6
54
+
55
+ def test_radius(self):
56
+ assert nx.radius(self.G) == 4
57
+
58
+ def test_periphery(self):
59
+ assert set(nx.periphery(self.G)) == {1, 4, 13, 16}
60
+
61
+ def test_center(self):
62
+ assert set(nx.center(self.G)) == {6, 7, 10, 11}
63
+
64
+ def test_bound_diameter(self):
65
+ assert nx.diameter(self.G, usebounds=True) == 6
66
+
67
+ def test_bound_radius(self):
68
+ assert nx.radius(self.G, usebounds=True) == 4
69
+
70
+ def test_bound_periphery(self):
71
+ result = {1, 4, 13, 16}
72
+ assert set(nx.periphery(self.G, usebounds=True)) == result
73
+
74
+ def test_bound_center(self):
75
+ result = {6, 7, 10, 11}
76
+ assert set(nx.center(self.G, usebounds=True)) == result
77
+
78
+ def test_radius_exception(self):
79
+ G = nx.Graph()
80
+ G.add_edge(1, 2)
81
+ G.add_edge(3, 4)
82
+ pytest.raises(nx.NetworkXError, nx.diameter, G)
83
+
84
+ def test_eccentricity_infinite(self):
85
+ with pytest.raises(nx.NetworkXError):
86
+ G = nx.Graph([(1, 2), (3, 4)])
87
+ e = nx.eccentricity(G)
88
+
89
+ def test_eccentricity_undirected_not_connected(self):
90
+ with pytest.raises(nx.NetworkXError):
91
+ G = nx.Graph([(1, 2), (3, 4)])
92
+ e = nx.eccentricity(G, sp=1)
93
+
94
+ def test_eccentricity_directed_weakly_connected(self):
95
+ with pytest.raises(nx.NetworkXError):
96
+ DG = nx.DiGraph([(1, 2), (1, 3)])
97
+ nx.eccentricity(DG)
98
+
99
+
100
+ class TestWeightedDistance:
101
+ def setup_method(self):
102
+ G = nx.Graph()
103
+ G.add_edge(0, 1, weight=0.6, cost=0.6, high_cost=6)
104
+ G.add_edge(0, 2, weight=0.2, cost=0.2, high_cost=2)
105
+ G.add_edge(2, 3, weight=0.1, cost=0.1, high_cost=1)
106
+ G.add_edge(2, 4, weight=0.7, cost=0.7, high_cost=7)
107
+ G.add_edge(2, 5, weight=0.9, cost=0.9, high_cost=9)
108
+ G.add_edge(1, 5, weight=0.3, cost=0.3, high_cost=3)
109
+ self.G = G
110
+ self.weight_fn = lambda v, u, e: 2
111
+
112
+ def test_eccentricity_weight_None(self):
113
+ assert nx.eccentricity(self.G, 1, weight=None) == 3
114
+ e = nx.eccentricity(self.G, weight=None)
115
+ assert e[1] == 3
116
+
117
+ e = nx.eccentricity(self.G, v=1, weight=None)
118
+ assert e == 3
119
+
120
+ # This behavior changed in version 1.8 (ticket #739)
121
+ e = nx.eccentricity(self.G, v=[1, 1], weight=None)
122
+ assert e[1] == 3
123
+ e = nx.eccentricity(self.G, v=[1, 2], weight=None)
124
+ assert e[1] == 3
125
+
126
+ def test_eccentricity_weight_attr(self):
127
+ assert nx.eccentricity(self.G, 1, weight="weight") == 1.5
128
+ e = nx.eccentricity(self.G, weight="weight")
129
+ assert (
130
+ e
131
+ == nx.eccentricity(self.G, weight="cost")
132
+ != nx.eccentricity(self.G, weight="high_cost")
133
+ )
134
+ assert e[1] == 1.5
135
+
136
+ e = nx.eccentricity(self.G, v=1, weight="weight")
137
+ assert e == 1.5
138
+
139
+ # This behavior changed in version 1.8 (ticket #739)
140
+ e = nx.eccentricity(self.G, v=[1, 1], weight="weight")
141
+ assert e[1] == 1.5
142
+ e = nx.eccentricity(self.G, v=[1, 2], weight="weight")
143
+ assert e[1] == 1.5
144
+
145
+ def test_eccentricity_weight_fn(self):
146
+ assert nx.eccentricity(self.G, 1, weight=self.weight_fn) == 6
147
+ e = nx.eccentricity(self.G, weight=self.weight_fn)
148
+ assert e[1] == 6
149
+
150
+ e = nx.eccentricity(self.G, v=1, weight=self.weight_fn)
151
+ assert e == 6
152
+
153
+ # This behavior changed in version 1.8 (ticket #739)
154
+ e = nx.eccentricity(self.G, v=[1, 1], weight=self.weight_fn)
155
+ assert e[1] == 6
156
+ e = nx.eccentricity(self.G, v=[1, 2], weight=self.weight_fn)
157
+ assert e[1] == 6
158
+
159
+ def test_diameter_weight_None(self):
160
+ assert nx.diameter(self.G, weight=None) == 3
161
+
162
+ def test_diameter_weight_attr(self):
163
+ assert (
164
+ nx.diameter(self.G, weight="weight")
165
+ == nx.diameter(self.G, weight="cost")
166
+ == 1.6
167
+ != nx.diameter(self.G, weight="high_cost")
168
+ )
169
+
170
+ def test_diameter_weight_fn(self):
171
+ assert nx.diameter(self.G, weight=self.weight_fn) == 6
172
+
173
+ def test_radius_weight_None(self):
174
+ assert pytest.approx(nx.radius(self.G, weight=None)) == 2
175
+
176
+ def test_radius_weight_attr(self):
177
+ assert (
178
+ pytest.approx(nx.radius(self.G, weight="weight"))
179
+ == pytest.approx(nx.radius(self.G, weight="cost"))
180
+ == 0.9
181
+ != nx.radius(self.G, weight="high_cost")
182
+ )
183
+
184
+ def test_radius_weight_fn(self):
185
+ assert nx.radius(self.G, weight=self.weight_fn) == 4
186
+
187
+ def test_periphery_weight_None(self):
188
+ for v in set(nx.periphery(self.G, weight=None)):
189
+ assert nx.eccentricity(self.G, v, weight=None) == nx.diameter(
190
+ self.G, weight=None
191
+ )
192
+
193
+ def test_periphery_weight_attr(self):
194
+ periphery = set(nx.periphery(self.G, weight="weight"))
195
+ assert (
196
+ periphery
197
+ == set(nx.periphery(self.G, weight="cost"))
198
+ == set(nx.periphery(self.G, weight="high_cost"))
199
+ )
200
+ for v in periphery:
201
+ assert (
202
+ nx.eccentricity(self.G, v, weight="high_cost")
203
+ != nx.eccentricity(self.G, v, weight="weight")
204
+ == nx.eccentricity(self.G, v, weight="cost")
205
+ == nx.diameter(self.G, weight="weight")
206
+ == nx.diameter(self.G, weight="cost")
207
+ != nx.diameter(self.G, weight="high_cost")
208
+ )
209
+ assert nx.eccentricity(self.G, v, weight="high_cost") == nx.diameter(
210
+ self.G, weight="high_cost"
211
+ )
212
+
213
+ def test_periphery_weight_fn(self):
214
+ for v in set(nx.periphery(self.G, weight=self.weight_fn)):
215
+ assert nx.eccentricity(self.G, v, weight=self.weight_fn) == nx.diameter(
216
+ self.G, weight=self.weight_fn
217
+ )
218
+
219
+ def test_center_weight_None(self):
220
+ for v in set(nx.center(self.G, weight=None)):
221
+ assert pytest.approx(nx.eccentricity(self.G, v, weight=None)) == nx.radius(
222
+ self.G, weight=None
223
+ )
224
+
225
+ def test_center_weight_attr(self):
226
+ center = set(nx.center(self.G, weight="weight"))
227
+ assert (
228
+ center
229
+ == set(nx.center(self.G, weight="cost"))
230
+ != set(nx.center(self.G, weight="high_cost"))
231
+ )
232
+ for v in center:
233
+ assert (
234
+ nx.eccentricity(self.G, v, weight="high_cost")
235
+ != pytest.approx(nx.eccentricity(self.G, v, weight="weight"))
236
+ == pytest.approx(nx.eccentricity(self.G, v, weight="cost"))
237
+ == nx.radius(self.G, weight="weight")
238
+ == nx.radius(self.G, weight="cost")
239
+ != nx.radius(self.G, weight="high_cost")
240
+ )
241
+ assert nx.eccentricity(self.G, v, weight="high_cost") == nx.radius(
242
+ self.G, weight="high_cost"
243
+ )
244
+
245
+ def test_center_weight_fn(self):
246
+ for v in set(nx.center(self.G, weight=self.weight_fn)):
247
+ assert nx.eccentricity(self.G, v, weight=self.weight_fn) == nx.radius(
248
+ self.G, weight=self.weight_fn
249
+ )
250
+
251
+ def test_bound_diameter_weight_None(self):
252
+ assert nx.diameter(self.G, usebounds=True, weight=None) == 3
253
+
254
+ def test_bound_diameter_weight_attr(self):
255
+ assert (
256
+ nx.diameter(self.G, usebounds=True, weight="high_cost")
257
+ != nx.diameter(self.G, usebounds=True, weight="weight")
258
+ == nx.diameter(self.G, usebounds=True, weight="cost")
259
+ == 1.6
260
+ != nx.diameter(self.G, usebounds=True, weight="high_cost")
261
+ )
262
+ assert nx.diameter(self.G, usebounds=True, weight="high_cost") == nx.diameter(
263
+ self.G, usebounds=True, weight="high_cost"
264
+ )
265
+
266
+ def test_bound_diameter_weight_fn(self):
267
+ assert nx.diameter(self.G, usebounds=True, weight=self.weight_fn) == 6
268
+
269
+ def test_bound_radius_weight_None(self):
270
+ assert pytest.approx(nx.radius(self.G, usebounds=True, weight=None)) == 2
271
+
272
+ def test_bound_radius_weight_attr(self):
273
+ assert (
274
+ nx.radius(self.G, usebounds=True, weight="high_cost")
275
+ != pytest.approx(nx.radius(self.G, usebounds=True, weight="weight"))
276
+ == pytest.approx(nx.radius(self.G, usebounds=True, weight="cost"))
277
+ == 0.9
278
+ != nx.radius(self.G, usebounds=True, weight="high_cost")
279
+ )
280
+ assert nx.radius(self.G, usebounds=True, weight="high_cost") == nx.radius(
281
+ self.G, usebounds=True, weight="high_cost"
282
+ )
283
+
284
+ def test_bound_radius_weight_fn(self):
285
+ assert nx.radius(self.G, usebounds=True, weight=self.weight_fn) == 4
286
+
287
+ def test_bound_periphery_weight_None(self):
288
+ result = {1, 3, 4}
289
+ assert set(nx.periphery(self.G, usebounds=True, weight=None)) == result
290
+
291
+ def test_bound_periphery_weight_attr(self):
292
+ result = {4, 5}
293
+ assert (
294
+ set(nx.periphery(self.G, usebounds=True, weight="weight"))
295
+ == set(nx.periphery(self.G, usebounds=True, weight="cost"))
296
+ == result
297
+ )
298
+
299
+ def test_bound_periphery_weight_fn(self):
300
+ result = {1, 3, 4}
301
+ assert (
302
+ set(nx.periphery(self.G, usebounds=True, weight=self.weight_fn)) == result
303
+ )
304
+
305
+ def test_bound_center_weight_None(self):
306
+ result = {0, 2, 5}
307
+ assert set(nx.center(self.G, usebounds=True, weight=None)) == result
308
+
309
+ def test_bound_center_weight_attr(self):
310
+ result = {0}
311
+ assert (
312
+ set(nx.center(self.G, usebounds=True, weight="weight"))
313
+ == set(nx.center(self.G, usebounds=True, weight="cost"))
314
+ == result
315
+ )
316
+
317
+ def test_bound_center_weight_fn(self):
318
+ result = {0, 2, 5}
319
+ assert set(nx.center(self.G, usebounds=True, weight=self.weight_fn)) == result
320
+
321
+
322
+ class TestResistanceDistance:
323
+ @classmethod
324
+ def setup_class(cls):
325
+ global np
326
+ np = pytest.importorskip("numpy")
327
+ sp = pytest.importorskip("scipy")
328
+
329
+ def setup_method(self):
330
+ G = nx.Graph()
331
+ G.add_edge(1, 2, weight=2)
332
+ G.add_edge(2, 3, weight=4)
333
+ G.add_edge(3, 4, weight=1)
334
+ G.add_edge(1, 4, weight=3)
335
+ self.G = G
336
+
337
+ def test_resistance_distance_directed_graph(self):
338
+ G = nx.DiGraph()
339
+ with pytest.raises(nx.NetworkXNotImplemented):
340
+ nx.resistance_distance(G)
341
+
342
+ def test_resistance_distance_empty(self):
343
+ G = nx.Graph()
344
+ with pytest.raises(nx.NetworkXError):
345
+ nx.resistance_distance(G)
346
+
347
+ def test_resistance_distance_not_connected(self):
348
+ with pytest.raises(nx.NetworkXError):
349
+ self.G.add_node(5)
350
+ nx.resistance_distance(self.G, 1, 5)
351
+
352
+ def test_resistance_distance_nodeA_not_in_graph(self):
353
+ with pytest.raises(nx.NetworkXError):
354
+ nx.resistance_distance(self.G, 9, 1)
355
+
356
+ def test_resistance_distance_nodeB_not_in_graph(self):
357
+ with pytest.raises(nx.NetworkXError):
358
+ nx.resistance_distance(self.G, 1, 9)
359
+
360
+ def test_resistance_distance(self):
361
+ rd = nx.resistance_distance(self.G, 1, 3, "weight", True)
362
+ test_data = 1 / (1 / (2 + 4) + 1 / (1 + 3))
363
+ assert round(rd, 5) == round(test_data, 5)
364
+
365
+ def test_resistance_distance_noinv(self):
366
+ rd = nx.resistance_distance(self.G, 1, 3, "weight", False)
367
+ test_data = 1 / (1 / (1 / 2 + 1 / 4) + 1 / (1 / 1 + 1 / 3))
368
+ assert round(rd, 5) == round(test_data, 5)
369
+
370
+ def test_resistance_distance_no_weight(self):
371
+ rd = nx.resistance_distance(self.G, 1, 3)
372
+ assert round(rd, 5) == 1
373
+
374
+ def test_resistance_distance_neg_weight(self):
375
+ self.G[2][3]["weight"] = -4
376
+ rd = nx.resistance_distance(self.G, 1, 3, "weight", True)
377
+ test_data = 1 / (1 / (2 + -4) + 1 / (1 + 3))
378
+ assert round(rd, 5) == round(test_data, 5)
379
+
380
+ def test_multigraph(self):
381
+ G = nx.MultiGraph()
382
+ G.add_edge(1, 2, weight=2)
383
+ G.add_edge(2, 3, weight=4)
384
+ G.add_edge(3, 4, weight=1)
385
+ G.add_edge(1, 4, weight=3)
386
+ rd = nx.resistance_distance(G, 1, 3, "weight", True)
387
+ assert np.isclose(rd, 1 / (1 / (2 + 4) + 1 / (1 + 3)))
388
+
389
+ def test_resistance_distance_div0(self):
390
+ with pytest.raises(ZeroDivisionError):
391
+ self.G[1][2]["weight"] = 0
392
+ nx.resistance_distance(self.G, 1, 3, "weight")
393
+
394
+ def test_resistance_distance_same_node(self):
395
+ assert nx.resistance_distance(self.G, 1, 1) == 0
396
+
397
+ def test_resistance_distance_only_nodeA(self):
398
+ rd = nx.resistance_distance(self.G, nodeA=1)
399
+ test_data = {}
400
+ test_data[1] = 0
401
+ test_data[2] = 0.75
402
+ test_data[3] = 1
403
+ test_data[4] = 0.75
404
+ assert type(rd) == dict
405
+ assert sorted(rd.keys()) == sorted(test_data.keys())
406
+ for key in rd:
407
+ assert np.isclose(rd[key], test_data[key])
408
+
409
+ def test_resistance_distance_only_nodeB(self):
410
+ rd = nx.resistance_distance(self.G, nodeB=1)
411
+ test_data = {}
412
+ test_data[1] = 0
413
+ test_data[2] = 0.75
414
+ test_data[3] = 1
415
+ test_data[4] = 0.75
416
+ assert type(rd) == dict
417
+ assert sorted(rd.keys()) == sorted(test_data.keys())
418
+ for key in rd:
419
+ assert np.isclose(rd[key], test_data[key])
420
+
421
+ def test_resistance_distance_all(self):
422
+ rd = nx.resistance_distance(self.G)
423
+ assert type(rd) == dict
424
+ assert round(rd[1][3], 5) == 1
425
+
426
+
427
+ class TestEffectiveGraphResistance:
428
+ @classmethod
429
+ def setup_class(cls):
430
+ global np
431
+ np = pytest.importorskip("numpy")
432
+ sp = pytest.importorskip("scipy")
433
+
434
+ def setup_method(self):
435
+ G = nx.Graph()
436
+ G.add_edge(1, 2, weight=2)
437
+ G.add_edge(1, 3, weight=1)
438
+ G.add_edge(2, 3, weight=4)
439
+ self.G = G
440
+
441
+ def test_effective_graph_resistance_directed_graph(self):
442
+ G = nx.DiGraph()
443
+ with pytest.raises(nx.NetworkXNotImplemented):
444
+ nx.effective_graph_resistance(G)
445
+
446
+ def test_effective_graph_resistance_empty(self):
447
+ G = nx.Graph()
448
+ with pytest.raises(nx.NetworkXError):
449
+ nx.effective_graph_resistance(G)
450
+
451
+ def test_effective_graph_resistance_not_connected(self):
452
+ G = nx.Graph([(1, 2), (3, 4)])
453
+ RG = nx.effective_graph_resistance(G)
454
+ assert np.isinf(RG)
455
+
456
+ def test_effective_graph_resistance(self):
457
+ RG = nx.effective_graph_resistance(self.G, "weight", True)
458
+ rd12 = 1 / (1 / (1 + 4) + 1 / 2)
459
+ rd13 = 1 / (1 / (1 + 2) + 1 / 4)
460
+ rd23 = 1 / (1 / (2 + 4) + 1 / 1)
461
+ assert np.isclose(RG, rd12 + rd13 + rd23)
462
+
463
+ def test_effective_graph_resistance_noinv(self):
464
+ RG = nx.effective_graph_resistance(self.G, "weight", False)
465
+ rd12 = 1 / (1 / (1 / 1 + 1 / 4) + 1 / (1 / 2))
466
+ rd13 = 1 / (1 / (1 / 1 + 1 / 2) + 1 / (1 / 4))
467
+ rd23 = 1 / (1 / (1 / 2 + 1 / 4) + 1 / (1 / 1))
468
+ assert np.isclose(RG, rd12 + rd13 + rd23)
469
+
470
+ def test_effective_graph_resistance_no_weight(self):
471
+ RG = nx.effective_graph_resistance(self.G)
472
+ assert np.isclose(RG, 2)
473
+
474
+ def test_effective_graph_resistance_neg_weight(self):
475
+ self.G[2][3]["weight"] = -4
476
+ RG = nx.effective_graph_resistance(self.G, "weight", True)
477
+ rd12 = 1 / (1 / (1 + -4) + 1 / 2)
478
+ rd13 = 1 / (1 / (1 + 2) + 1 / (-4))
479
+ rd23 = 1 / (1 / (2 + -4) + 1 / 1)
480
+ assert np.isclose(RG, rd12 + rd13 + rd23)
481
+
482
+ def test_effective_graph_resistance_multigraph(self):
483
+ G = nx.MultiGraph()
484
+ G.add_edge(1, 2, weight=2)
485
+ G.add_edge(1, 3, weight=1)
486
+ G.add_edge(2, 3, weight=1)
487
+ G.add_edge(2, 3, weight=3)
488
+ RG = nx.effective_graph_resistance(G, "weight", True)
489
+ edge23 = 1 / (1 / 1 + 1 / 3)
490
+ rd12 = 1 / (1 / (1 + edge23) + 1 / 2)
491
+ rd13 = 1 / (1 / (1 + 2) + 1 / edge23)
492
+ rd23 = 1 / (1 / (2 + edge23) + 1 / 1)
493
+ assert np.isclose(RG, rd12 + rd13 + rd23)
494
+
495
+ def test_effective_graph_resistance_div0(self):
496
+ with pytest.raises(ZeroDivisionError):
497
+ self.G[1][2]["weight"] = 0
498
+ nx.effective_graph_resistance(self.G, "weight")
499
+
500
+ def test_effective_graph_resistance_complete_graph(self):
501
+ N = 10
502
+ G = nx.complete_graph(N)
503
+ RG = nx.effective_graph_resistance(G)
504
+ assert np.isclose(RG, N - 1)
505
+
506
+ def test_effective_graph_resistance_path_graph(self):
507
+ N = 10
508
+ G = nx.path_graph(N)
509
+ RG = nx.effective_graph_resistance(G)
510
+ assert np.isclose(RG, (N - 1) * N * (N + 1) // 6)
511
+
512
+
513
+ class TestBarycenter:
514
+ """Test :func:`networkx.algorithms.distance_measures.barycenter`."""
515
+
516
+ def barycenter_as_subgraph(self, g, **kwargs):
517
+ """Return the subgraph induced on the barycenter of g"""
518
+ b = nx.barycenter(g, **kwargs)
519
+ assert isinstance(b, list)
520
+ assert set(b) <= set(g)
521
+ return g.subgraph(b)
522
+
523
+ def test_must_be_connected(self):
524
+ pytest.raises(nx.NetworkXNoPath, nx.barycenter, nx.empty_graph(5))
525
+
526
+ def test_sp_kwarg(self):
527
+ # Complete graph K_5. Normally it works...
528
+ K_5 = nx.complete_graph(5)
529
+ sp = dict(nx.shortest_path_length(K_5))
530
+ assert nx.barycenter(K_5, sp=sp) == list(K_5)
531
+
532
+ # ...but not with the weight argument
533
+ for u, v, data in K_5.edges.data():
534
+ data["weight"] = 1
535
+ pytest.raises(ValueError, nx.barycenter, K_5, sp=sp, weight="weight")
536
+
537
+ # ...and a corrupted sp can make it seem like K_5 is disconnected
538
+ del sp[0][1]
539
+ pytest.raises(nx.NetworkXNoPath, nx.barycenter, K_5, sp=sp)
540
+
541
+ def test_trees(self):
542
+ """The barycenter of a tree is a single vertex or an edge.
543
+
544
+ See [West01]_, p. 78.
545
+ """
546
+ prng = Random(0xDEADBEEF)
547
+ for i in range(50):
548
+ RT = nx.random_labeled_tree(prng.randint(1, 75), seed=prng)
549
+ b = self.barycenter_as_subgraph(RT)
550
+ if len(b) == 2:
551
+ assert b.size() == 1
552
+ else:
553
+ assert len(b) == 1
554
+ assert b.size() == 0
555
+
556
+ def test_this_one_specific_tree(self):
557
+ """Test the tree pictured at the bottom of [West01]_, p. 78."""
558
+ g = nx.Graph(
559
+ {
560
+ "a": ["b"],
561
+ "b": ["a", "x"],
562
+ "x": ["b", "y"],
563
+ "y": ["x", "z"],
564
+ "z": ["y", 0, 1, 2, 3, 4],
565
+ 0: ["z"],
566
+ 1: ["z"],
567
+ 2: ["z"],
568
+ 3: ["z"],
569
+ 4: ["z"],
570
+ }
571
+ )
572
+ b = self.barycenter_as_subgraph(g, attr="barycentricity")
573
+ assert list(b) == ["z"]
574
+ assert not b.edges
575
+ expected_barycentricity = {
576
+ 0: 23,
577
+ 1: 23,
578
+ 2: 23,
579
+ 3: 23,
580
+ 4: 23,
581
+ "a": 35,
582
+ "b": 27,
583
+ "x": 21,
584
+ "y": 17,
585
+ "z": 15,
586
+ }
587
+ for node, barycentricity in expected_barycentricity.items():
588
+ assert g.nodes[node]["barycentricity"] == barycentricity
589
+
590
+ # Doubling weights should do nothing but double the barycentricities
591
+ for edge in g.edges:
592
+ g.edges[edge]["weight"] = 2
593
+ b = self.barycenter_as_subgraph(g, weight="weight", attr="barycentricity2")
594
+ assert list(b) == ["z"]
595
+ assert not b.edges
596
+ for node, barycentricity in expected_barycentricity.items():
597
+ assert g.nodes[node]["barycentricity2"] == barycentricity * 2
598
+
599
+
600
+ class TestKemenyConstant:
601
+ @classmethod
602
+ def setup_class(cls):
603
+ global np
604
+ np = pytest.importorskip("numpy")
605
+ sp = pytest.importorskip("scipy")
606
+
607
+ def setup_method(self):
608
+ G = nx.Graph()
609
+ w12 = 2
610
+ w13 = 3
611
+ w23 = 4
612
+ G.add_edge(1, 2, weight=w12)
613
+ G.add_edge(1, 3, weight=w13)
614
+ G.add_edge(2, 3, weight=w23)
615
+ self.G = G
616
+
617
+ def test_kemeny_constant_directed(self):
618
+ G = nx.DiGraph()
619
+ G.add_edge(1, 2)
620
+ G.add_edge(1, 3)
621
+ G.add_edge(2, 3)
622
+ with pytest.raises(nx.NetworkXNotImplemented):
623
+ nx.kemeny_constant(G)
624
+
625
+ def test_kemeny_constant_not_connected(self):
626
+ self.G.add_node(5)
627
+ with pytest.raises(nx.NetworkXError):
628
+ nx.kemeny_constant(self.G)
629
+
630
+ def test_kemeny_constant_no_nodes(self):
631
+ G = nx.Graph()
632
+ with pytest.raises(nx.NetworkXError):
633
+ nx.kemeny_constant(G)
634
+
635
+ def test_kemeny_constant_negative_weight(self):
636
+ G = nx.Graph()
637
+ w12 = 2
638
+ w13 = 3
639
+ w23 = -10
640
+ G.add_edge(1, 2, weight=w12)
641
+ G.add_edge(1, 3, weight=w13)
642
+ G.add_edge(2, 3, weight=w23)
643
+ with pytest.raises(nx.NetworkXError):
644
+ nx.kemeny_constant(G, weight="weight")
645
+
646
+ def test_kemeny_constant(self):
647
+ K = nx.kemeny_constant(self.G, weight="weight")
648
+ w12 = 2
649
+ w13 = 3
650
+ w23 = 4
651
+ test_data = (
652
+ 3
653
+ / 2
654
+ * (w12 + w13)
655
+ * (w12 + w23)
656
+ * (w13 + w23)
657
+ / (
658
+ w12**2 * (w13 + w23)
659
+ + w13**2 * (w12 + w23)
660
+ + w23**2 * (w12 + w13)
661
+ + 3 * w12 * w13 * w23
662
+ )
663
+ )
664
+ assert np.isclose(K, test_data)
665
+
666
+ def test_kemeny_constant_no_weight(self):
667
+ K = nx.kemeny_constant(self.G)
668
+ assert np.isclose(K, 4 / 3)
669
+
670
+ def test_kemeny_constant_multigraph(self):
671
+ G = nx.MultiGraph()
672
+ w12_1 = 2
673
+ w12_2 = 1
674
+ w13 = 3
675
+ w23 = 4
676
+ G.add_edge(1, 2, weight=w12_1)
677
+ G.add_edge(1, 2, weight=w12_2)
678
+ G.add_edge(1, 3, weight=w13)
679
+ G.add_edge(2, 3, weight=w23)
680
+ K = nx.kemeny_constant(G, weight="weight")
681
+ w12 = w12_1 + w12_2
682
+ test_data = (
683
+ 3
684
+ / 2
685
+ * (w12 + w13)
686
+ * (w12 + w23)
687
+ * (w13 + w23)
688
+ / (
689
+ w12**2 * (w13 + w23)
690
+ + w13**2 * (w12 + w23)
691
+ + w23**2 * (w12 + w13)
692
+ + 3 * w12 * w13 * w23
693
+ )
694
+ )
695
+ assert np.isclose(K, test_data)
696
+
697
+ def test_kemeny_constant_weight0(self):
698
+ G = nx.Graph()
699
+ w12 = 0
700
+ w13 = 3
701
+ w23 = 4
702
+ G.add_edge(1, 2, weight=w12)
703
+ G.add_edge(1, 3, weight=w13)
704
+ G.add_edge(2, 3, weight=w23)
705
+ K = nx.kemeny_constant(G, weight="weight")
706
+ test_data = (
707
+ 3
708
+ / 2
709
+ * (w12 + w13)
710
+ * (w12 + w23)
711
+ * (w13 + w23)
712
+ / (
713
+ w12**2 * (w13 + w23)
714
+ + w13**2 * (w12 + w23)
715
+ + w23**2 * (w12 + w13)
716
+ + 3 * w12 * w13 * w23
717
+ )
718
+ )
719
+ assert np.isclose(K, test_data)
720
+
721
+ def test_kemeny_constant_selfloop(self):
722
+ G = nx.Graph()
723
+ w11 = 1
724
+ w12 = 2
725
+ w13 = 3
726
+ w23 = 4
727
+ G.add_edge(1, 1, weight=w11)
728
+ G.add_edge(1, 2, weight=w12)
729
+ G.add_edge(1, 3, weight=w13)
730
+ G.add_edge(2, 3, weight=w23)
731
+ K = nx.kemeny_constant(G, weight="weight")
732
+ test_data = (
733
+ (2 * w11 + 3 * w12 + 3 * w13)
734
+ * (w12 + w23)
735
+ * (w13 + w23)
736
+ / (
737
+ (w12 * w13 + w12 * w23 + w13 * w23)
738
+ * (w11 + 2 * w12 + 2 * w13 + 2 * w23)
739
+ )
740
+ )
741
+ assert np.isclose(K, test_data)
742
+
743
+ def test_kemeny_constant_complete_bipartite_graph(self):
744
+ # Theorem 1 in https://www.sciencedirect.com/science/article/pii/S0166218X20302912
745
+ n1 = 5
746
+ n2 = 4
747
+ G = nx.complete_bipartite_graph(n1, n2)
748
+ K = nx.kemeny_constant(G)
749
+ assert np.isclose(K, n1 + n2 - 3 / 2)
750
+
751
+ def test_kemeny_constant_path_graph(self):
752
+ # Theorem 2 in https://www.sciencedirect.com/science/article/pii/S0166218X20302912
753
+ n = 10
754
+ G = nx.path_graph(n)
755
+ K = nx.kemeny_constant(G)
756
+ assert np.isclose(K, n**2 / 3 - 2 * n / 3 + 1 / 2)
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_distance_regular.py ADDED
@@ -0,0 +1,85 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import pytest
2
+
3
+ import networkx as nx
4
+ from networkx import is_strongly_regular
5
+
6
+
7
+ @pytest.mark.parametrize(
8
+ "f", (nx.is_distance_regular, nx.intersection_array, nx.is_strongly_regular)
9
+ )
10
+ @pytest.mark.parametrize("graph_constructor", (nx.DiGraph, nx.MultiGraph))
11
+ def test_raises_on_directed_and_multigraphs(f, graph_constructor):
12
+ G = graph_constructor([(0, 1), (1, 2)])
13
+ with pytest.raises(nx.NetworkXNotImplemented):
14
+ f(G)
15
+
16
+
17
+ class TestDistanceRegular:
18
+ def test_is_distance_regular(self):
19
+ assert nx.is_distance_regular(nx.icosahedral_graph())
20
+ assert nx.is_distance_regular(nx.petersen_graph())
21
+ assert nx.is_distance_regular(nx.cubical_graph())
22
+ assert nx.is_distance_regular(nx.complete_bipartite_graph(3, 3))
23
+ assert nx.is_distance_regular(nx.tetrahedral_graph())
24
+ assert nx.is_distance_regular(nx.dodecahedral_graph())
25
+ assert nx.is_distance_regular(nx.pappus_graph())
26
+ assert nx.is_distance_regular(nx.heawood_graph())
27
+ assert nx.is_distance_regular(nx.cycle_graph(3))
28
+ # no distance regular
29
+ assert not nx.is_distance_regular(nx.path_graph(4))
30
+
31
+ def test_not_connected(self):
32
+ G = nx.cycle_graph(4)
33
+ nx.add_cycle(G, [5, 6, 7])
34
+ assert not nx.is_distance_regular(G)
35
+
36
+ def test_global_parameters(self):
37
+ b, c = nx.intersection_array(nx.cycle_graph(5))
38
+ g = nx.global_parameters(b, c)
39
+ assert list(g) == [(0, 0, 2), (1, 0, 1), (1, 1, 0)]
40
+ b, c = nx.intersection_array(nx.cycle_graph(3))
41
+ g = nx.global_parameters(b, c)
42
+ assert list(g) == [(0, 0, 2), (1, 1, 0)]
43
+
44
+ def test_intersection_array(self):
45
+ b, c = nx.intersection_array(nx.cycle_graph(5))
46
+ assert b == [2, 1]
47
+ assert c == [1, 1]
48
+ b, c = nx.intersection_array(nx.dodecahedral_graph())
49
+ assert b == [3, 2, 1, 1, 1]
50
+ assert c == [1, 1, 1, 2, 3]
51
+ b, c = nx.intersection_array(nx.icosahedral_graph())
52
+ assert b == [5, 2, 1]
53
+ assert c == [1, 2, 5]
54
+
55
+
56
+ @pytest.mark.parametrize("f", (nx.is_distance_regular, nx.is_strongly_regular))
57
+ def test_empty_graph_raises(f):
58
+ G = nx.Graph()
59
+ with pytest.raises(nx.NetworkXPointlessConcept, match="Graph has no nodes"):
60
+ f(G)
61
+
62
+
63
+ class TestStronglyRegular:
64
+ """Unit tests for the :func:`~networkx.is_strongly_regular`
65
+ function.
66
+
67
+ """
68
+
69
+ def test_cycle_graph(self):
70
+ """Tests that the cycle graph on five vertices is strongly
71
+ regular.
72
+
73
+ """
74
+ G = nx.cycle_graph(5)
75
+ assert is_strongly_regular(G)
76
+
77
+ def test_petersen_graph(self):
78
+ """Tests that the Petersen graph is strongly regular."""
79
+ G = nx.petersen_graph()
80
+ assert is_strongly_regular(G)
81
+
82
+ def test_path_graph(self):
83
+ """Tests that the path graph is not strongly regular."""
84
+ G = nx.path_graph(4)
85
+ assert not is_strongly_regular(G)
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_dominance.py ADDED
@@ -0,0 +1,285 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import pytest
2
+
3
+ import networkx as nx
4
+
5
+
6
+ class TestImmediateDominators:
7
+ def test_exceptions(self):
8
+ G = nx.Graph()
9
+ G.add_node(0)
10
+ pytest.raises(nx.NetworkXNotImplemented, nx.immediate_dominators, G, 0)
11
+ G = nx.MultiGraph(G)
12
+ pytest.raises(nx.NetworkXNotImplemented, nx.immediate_dominators, G, 0)
13
+ G = nx.DiGraph([[0, 0]])
14
+ pytest.raises(nx.NetworkXError, nx.immediate_dominators, G, 1)
15
+
16
+ def test_singleton(self):
17
+ G = nx.DiGraph()
18
+ G.add_node(0)
19
+ assert nx.immediate_dominators(G, 0) == {0: 0}
20
+ G.add_edge(0, 0)
21
+ assert nx.immediate_dominators(G, 0) == {0: 0}
22
+
23
+ def test_path(self):
24
+ n = 5
25
+ G = nx.path_graph(n, create_using=nx.DiGraph())
26
+ assert nx.immediate_dominators(G, 0) == {i: max(i - 1, 0) for i in range(n)}
27
+
28
+ def test_cycle(self):
29
+ n = 5
30
+ G = nx.cycle_graph(n, create_using=nx.DiGraph())
31
+ assert nx.immediate_dominators(G, 0) == {i: max(i - 1, 0) for i in range(n)}
32
+
33
+ def test_unreachable(self):
34
+ n = 5
35
+ assert n > 1
36
+ G = nx.path_graph(n, create_using=nx.DiGraph())
37
+ assert nx.immediate_dominators(G, n // 2) == {
38
+ i: max(i - 1, n // 2) for i in range(n // 2, n)
39
+ }
40
+
41
+ def test_irreducible1(self):
42
+ # Graph taken from Figure 2 of
43
+ # K. D. Cooper, T. J. Harvey, and K. Kennedy.
44
+ # A simple, fast dominance algorithm.
45
+ # Software Practice & Experience, 4:110, 2001.
46
+ edges = [(1, 2), (2, 1), (3, 2), (4, 1), (5, 3), (5, 4)]
47
+ G = nx.DiGraph(edges)
48
+ assert nx.immediate_dominators(G, 5) == {i: 5 for i in range(1, 6)}
49
+
50
+ def test_irreducible2(self):
51
+ # Graph taken from Figure 4 of
52
+ # K. D. Cooper, T. J. Harvey, and K. Kennedy.
53
+ # A simple, fast dominance algorithm.
54
+ # Software Practice & Experience, 4:110, 2001.
55
+ edges = [(1, 2), (2, 1), (2, 3), (3, 2), (4, 2), (4, 3), (5, 1), (6, 4), (6, 5)]
56
+ G = nx.DiGraph(edges)
57
+ result = nx.immediate_dominators(G, 6)
58
+ assert result == {i: 6 for i in range(1, 7)}
59
+
60
+ def test_domrel_png(self):
61
+ # Graph taken from https://commons.wikipedia.org/wiki/File:Domrel.png
62
+ edges = [(1, 2), (2, 3), (2, 4), (2, 6), (3, 5), (4, 5), (5, 2)]
63
+ G = nx.DiGraph(edges)
64
+ result = nx.immediate_dominators(G, 1)
65
+ assert result == {1: 1, 2: 1, 3: 2, 4: 2, 5: 2, 6: 2}
66
+ # Test postdominance.
67
+ result = nx.immediate_dominators(G.reverse(copy=False), 6)
68
+ assert result == {1: 2, 2: 6, 3: 5, 4: 5, 5: 2, 6: 6}
69
+
70
+ def test_boost_example(self):
71
+ # Graph taken from Figure 1 of
72
+ # http://www.boost.org/doc/libs/1_56_0/libs/graph/doc/lengauer_tarjan_dominator.htm
73
+ edges = [(0, 1), (1, 2), (1, 3), (2, 7), (3, 4), (4, 5), (4, 6), (5, 7), (6, 4)]
74
+ G = nx.DiGraph(edges)
75
+ result = nx.immediate_dominators(G, 0)
76
+ assert result == {0: 0, 1: 0, 2: 1, 3: 1, 4: 3, 5: 4, 6: 4, 7: 1}
77
+ # Test postdominance.
78
+ result = nx.immediate_dominators(G.reverse(copy=False), 7)
79
+ assert result == {0: 1, 1: 7, 2: 7, 3: 4, 4: 5, 5: 7, 6: 4, 7: 7}
80
+
81
+
82
+ class TestDominanceFrontiers:
83
+ def test_exceptions(self):
84
+ G = nx.Graph()
85
+ G.add_node(0)
86
+ pytest.raises(nx.NetworkXNotImplemented, nx.dominance_frontiers, G, 0)
87
+ G = nx.MultiGraph(G)
88
+ pytest.raises(nx.NetworkXNotImplemented, nx.dominance_frontiers, G, 0)
89
+ G = nx.DiGraph([[0, 0]])
90
+ pytest.raises(nx.NetworkXError, nx.dominance_frontiers, G, 1)
91
+
92
+ def test_singleton(self):
93
+ G = nx.DiGraph()
94
+ G.add_node(0)
95
+ assert nx.dominance_frontiers(G, 0) == {0: set()}
96
+ G.add_edge(0, 0)
97
+ assert nx.dominance_frontiers(G, 0) == {0: set()}
98
+
99
+ def test_path(self):
100
+ n = 5
101
+ G = nx.path_graph(n, create_using=nx.DiGraph())
102
+ assert nx.dominance_frontiers(G, 0) == {i: set() for i in range(n)}
103
+
104
+ def test_cycle(self):
105
+ n = 5
106
+ G = nx.cycle_graph(n, create_using=nx.DiGraph())
107
+ assert nx.dominance_frontiers(G, 0) == {i: set() for i in range(n)}
108
+
109
+ def test_unreachable(self):
110
+ n = 5
111
+ assert n > 1
112
+ G = nx.path_graph(n, create_using=nx.DiGraph())
113
+ assert nx.dominance_frontiers(G, n // 2) == {i: set() for i in range(n // 2, n)}
114
+
115
+ def test_irreducible1(self):
116
+ # Graph taken from Figure 2 of
117
+ # K. D. Cooper, T. J. Harvey, and K. Kennedy.
118
+ # A simple, fast dominance algorithm.
119
+ # Software Practice & Experience, 4:110, 2001.
120
+ edges = [(1, 2), (2, 1), (3, 2), (4, 1), (5, 3), (5, 4)]
121
+ G = nx.DiGraph(edges)
122
+ assert dict(nx.dominance_frontiers(G, 5).items()) == {
123
+ 1: {2},
124
+ 2: {1},
125
+ 3: {2},
126
+ 4: {1},
127
+ 5: set(),
128
+ }
129
+
130
+ def test_irreducible2(self):
131
+ # Graph taken from Figure 4 of
132
+ # K. D. Cooper, T. J. Harvey, and K. Kennedy.
133
+ # A simple, fast dominance algorithm.
134
+ # Software Practice & Experience, 4:110, 2001.
135
+ edges = [(1, 2), (2, 1), (2, 3), (3, 2), (4, 2), (4, 3), (5, 1), (6, 4), (6, 5)]
136
+ G = nx.DiGraph(edges)
137
+ assert nx.dominance_frontiers(G, 6) == {
138
+ 1: {2},
139
+ 2: {1, 3},
140
+ 3: {2},
141
+ 4: {2, 3},
142
+ 5: {1},
143
+ 6: set(),
144
+ }
145
+
146
+ def test_domrel_png(self):
147
+ # Graph taken from https://commons.wikipedia.org/wiki/File:Domrel.png
148
+ edges = [(1, 2), (2, 3), (2, 4), (2, 6), (3, 5), (4, 5), (5, 2)]
149
+ G = nx.DiGraph(edges)
150
+ assert nx.dominance_frontiers(G, 1) == {
151
+ 1: set(),
152
+ 2: {2},
153
+ 3: {5},
154
+ 4: {5},
155
+ 5: {2},
156
+ 6: set(),
157
+ }
158
+ # Test postdominance.
159
+ result = nx.dominance_frontiers(G.reverse(copy=False), 6)
160
+ assert result == {1: set(), 2: {2}, 3: {2}, 4: {2}, 5: {2}, 6: set()}
161
+
162
+ def test_boost_example(self):
163
+ # Graph taken from Figure 1 of
164
+ # http://www.boost.org/doc/libs/1_56_0/libs/graph/doc/lengauer_tarjan_dominator.htm
165
+ edges = [(0, 1), (1, 2), (1, 3), (2, 7), (3, 4), (4, 5), (4, 6), (5, 7), (6, 4)]
166
+ G = nx.DiGraph(edges)
167
+ assert nx.dominance_frontiers(G, 0) == {
168
+ 0: set(),
169
+ 1: set(),
170
+ 2: {7},
171
+ 3: {7},
172
+ 4: {4, 7},
173
+ 5: {7},
174
+ 6: {4},
175
+ 7: set(),
176
+ }
177
+ # Test postdominance.
178
+ result = nx.dominance_frontiers(G.reverse(copy=False), 7)
179
+ expected = {
180
+ 0: set(),
181
+ 1: set(),
182
+ 2: {1},
183
+ 3: {1},
184
+ 4: {1, 4},
185
+ 5: {1},
186
+ 6: {4},
187
+ 7: set(),
188
+ }
189
+ assert result == expected
190
+
191
+ def test_discard_issue(self):
192
+ # https://github.com/networkx/networkx/issues/2071
193
+ g = nx.DiGraph()
194
+ g.add_edges_from(
195
+ [
196
+ ("b0", "b1"),
197
+ ("b1", "b2"),
198
+ ("b2", "b3"),
199
+ ("b3", "b1"),
200
+ ("b1", "b5"),
201
+ ("b5", "b6"),
202
+ ("b5", "b8"),
203
+ ("b6", "b7"),
204
+ ("b8", "b7"),
205
+ ("b7", "b3"),
206
+ ("b3", "b4"),
207
+ ]
208
+ )
209
+ df = nx.dominance_frontiers(g, "b0")
210
+ assert df == {
211
+ "b4": set(),
212
+ "b5": {"b3"},
213
+ "b6": {"b7"},
214
+ "b7": {"b3"},
215
+ "b0": set(),
216
+ "b1": {"b1"},
217
+ "b2": {"b3"},
218
+ "b3": {"b1"},
219
+ "b8": {"b7"},
220
+ }
221
+
222
+ def test_loop(self):
223
+ g = nx.DiGraph()
224
+ g.add_edges_from([("a", "b"), ("b", "c"), ("b", "a")])
225
+ df = nx.dominance_frontiers(g, "a")
226
+ assert df == {"a": set(), "b": set(), "c": set()}
227
+
228
+ def test_missing_immediate_doms(self):
229
+ # see https://github.com/networkx/networkx/issues/2070
230
+ g = nx.DiGraph()
231
+ edges = [
232
+ ("entry_1", "b1"),
233
+ ("b1", "b2"),
234
+ ("b2", "b3"),
235
+ ("b3", "exit"),
236
+ ("entry_2", "b3"),
237
+ ]
238
+
239
+ # entry_1
240
+ # |
241
+ # b1
242
+ # |
243
+ # b2 entry_2
244
+ # | /
245
+ # b3
246
+ # |
247
+ # exit
248
+
249
+ g.add_edges_from(edges)
250
+ # formerly raised KeyError on entry_2 when parsing b3
251
+ # because entry_2 does not have immediate doms (no path)
252
+ nx.dominance_frontiers(g, "entry_1")
253
+
254
+ def test_loops_larger(self):
255
+ # from
256
+ # http://ecee.colorado.edu/~waite/Darmstadt/motion.html
257
+ g = nx.DiGraph()
258
+ edges = [
259
+ ("entry", "exit"),
260
+ ("entry", "1"),
261
+ ("1", "2"),
262
+ ("2", "3"),
263
+ ("3", "4"),
264
+ ("4", "5"),
265
+ ("5", "6"),
266
+ ("6", "exit"),
267
+ ("6", "2"),
268
+ ("5", "3"),
269
+ ("4", "4"),
270
+ ]
271
+
272
+ g.add_edges_from(edges)
273
+ df = nx.dominance_frontiers(g, "entry")
274
+ answer = {
275
+ "entry": set(),
276
+ "1": {"exit"},
277
+ "2": {"exit", "2"},
278
+ "3": {"exit", "3", "2"},
279
+ "4": {"exit", "4", "3", "2"},
280
+ "5": {"exit", "3", "2"},
281
+ "6": {"exit", "2"},
282
+ "exit": set(),
283
+ }
284
+ for n in df:
285
+ assert set(df[n]) == set(answer[n])
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_dominating.py ADDED
@@ -0,0 +1,46 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import pytest
2
+
3
+ import networkx as nx
4
+
5
+
6
+ def test_dominating_set():
7
+ G = nx.gnp_random_graph(100, 0.1)
8
+ D = nx.dominating_set(G)
9
+ assert nx.is_dominating_set(G, D)
10
+ D = nx.dominating_set(G, start_with=0)
11
+ assert nx.is_dominating_set(G, D)
12
+
13
+
14
+ def test_complete():
15
+ """In complete graphs each node is a dominating set.
16
+ Thus the dominating set has to be of cardinality 1.
17
+ """
18
+ K4 = nx.complete_graph(4)
19
+ assert len(nx.dominating_set(K4)) == 1
20
+ K5 = nx.complete_graph(5)
21
+ assert len(nx.dominating_set(K5)) == 1
22
+
23
+
24
+ def test_raise_dominating_set():
25
+ with pytest.raises(nx.NetworkXError):
26
+ G = nx.path_graph(4)
27
+ D = nx.dominating_set(G, start_with=10)
28
+
29
+
30
+ def test_is_dominating_set():
31
+ G = nx.path_graph(4)
32
+ d = {1, 3}
33
+ assert nx.is_dominating_set(G, d)
34
+ d = {0, 2}
35
+ assert nx.is_dominating_set(G, d)
36
+ d = {1}
37
+ assert not nx.is_dominating_set(G, d)
38
+
39
+
40
+ def test_wikipedia_is_dominating_set():
41
+ """Example from https://en.wikipedia.org/wiki/Dominating_set"""
42
+ G = nx.cycle_graph(4)
43
+ G.add_edges_from([(0, 4), (1, 4), (2, 5)])
44
+ assert nx.is_dominating_set(G, {4, 3, 5})
45
+ assert nx.is_dominating_set(G, {0, 2})
46
+ assert nx.is_dominating_set(G, {1, 2})
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_efficiency.py ADDED
@@ -0,0 +1,58 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Unit tests for the :mod:`networkx.algorithms.efficiency` module."""
2
+
3
+ import networkx as nx
4
+
5
+
6
+ class TestEfficiency:
7
+ def setup_method(self):
8
+ # G1 is a disconnected graph
9
+ self.G1 = nx.Graph()
10
+ self.G1.add_nodes_from([1, 2, 3])
11
+ # G2 is a cycle graph
12
+ self.G2 = nx.cycle_graph(4)
13
+ # G3 is the triangle graph with one additional edge
14
+ self.G3 = nx.lollipop_graph(3, 1)
15
+
16
+ def test_efficiency_disconnected_nodes(self):
17
+ """
18
+ When nodes are disconnected, efficiency is 0
19
+ """
20
+ assert nx.efficiency(self.G1, 1, 2) == 0
21
+
22
+ def test_local_efficiency_disconnected_graph(self):
23
+ """
24
+ In a disconnected graph the efficiency is 0
25
+ """
26
+ assert nx.local_efficiency(self.G1) == 0
27
+
28
+ def test_efficiency(self):
29
+ assert nx.efficiency(self.G2, 0, 1) == 1
30
+ assert nx.efficiency(self.G2, 0, 2) == 1 / 2
31
+
32
+ def test_global_efficiency(self):
33
+ assert nx.global_efficiency(self.G2) == 5 / 6
34
+
35
+ def test_global_efficiency_complete_graph(self):
36
+ """
37
+ Tests that the average global efficiency of the complete graph is one.
38
+ """
39
+ for n in range(2, 10):
40
+ G = nx.complete_graph(n)
41
+ assert nx.global_efficiency(G) == 1
42
+
43
+ def test_local_efficiency_complete_graph(self):
44
+ """
45
+ Test that the local efficiency for a complete graph with at least 3
46
+ nodes should be one. For a graph with only 2 nodes, the induced
47
+ subgraph has no edges.
48
+ """
49
+ for n in range(3, 10):
50
+ G = nx.complete_graph(n)
51
+ assert nx.local_efficiency(G) == 1
52
+
53
+ def test_using_ego_graph(self):
54
+ """
55
+ Test that the ego graph is used when computing local efficiency.
56
+ For more information, see GitHub issue #2710.
57
+ """
58
+ assert nx.local_efficiency(self.G3) == 7 / 12
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_graphical.py ADDED
@@ -0,0 +1,163 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import pytest
2
+
3
+ import networkx as nx
4
+
5
+
6
+ def test_valid_degree_sequence1():
7
+ n = 100
8
+ p = 0.3
9
+ for i in range(10):
10
+ G = nx.erdos_renyi_graph(n, p)
11
+ deg = (d for n, d in G.degree())
12
+ assert nx.is_graphical(deg, method="eg")
13
+ assert nx.is_graphical(deg, method="hh")
14
+
15
+
16
+ def test_valid_degree_sequence2():
17
+ n = 100
18
+ for i in range(10):
19
+ G = nx.barabasi_albert_graph(n, 1)
20
+ deg = (d for n, d in G.degree())
21
+ assert nx.is_graphical(deg, method="eg")
22
+ assert nx.is_graphical(deg, method="hh")
23
+
24
+
25
+ def test_string_input():
26
+ pytest.raises(nx.NetworkXException, nx.is_graphical, [], "foo")
27
+ pytest.raises(nx.NetworkXException, nx.is_graphical, ["red"], "hh")
28
+ pytest.raises(nx.NetworkXException, nx.is_graphical, ["red"], "eg")
29
+
30
+
31
+ def test_non_integer_input():
32
+ pytest.raises(nx.NetworkXException, nx.is_graphical, [72.5], "eg")
33
+ pytest.raises(nx.NetworkXException, nx.is_graphical, [72.5], "hh")
34
+
35
+
36
+ def test_negative_input():
37
+ assert not nx.is_graphical([-1], "hh")
38
+ assert not nx.is_graphical([-1], "eg")
39
+
40
+
41
+ class TestAtlas:
42
+ @classmethod
43
+ def setup_class(cls):
44
+ global atlas
45
+ from networkx.generators import atlas
46
+
47
+ cls.GAG = atlas.graph_atlas_g()
48
+
49
+ def test_atlas(self):
50
+ for graph in self.GAG:
51
+ deg = (d for n, d in graph.degree())
52
+ assert nx.is_graphical(deg, method="eg")
53
+ assert nx.is_graphical(deg, method="hh")
54
+
55
+
56
+ def test_small_graph_true():
57
+ z = [5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1]
58
+ assert nx.is_graphical(z, method="hh")
59
+ assert nx.is_graphical(z, method="eg")
60
+ z = [10, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2]
61
+ assert nx.is_graphical(z, method="hh")
62
+ assert nx.is_graphical(z, method="eg")
63
+ z = [1, 1, 1, 1, 1, 2, 2, 2, 3, 4]
64
+ assert nx.is_graphical(z, method="hh")
65
+ assert nx.is_graphical(z, method="eg")
66
+
67
+
68
+ def test_small_graph_false():
69
+ z = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1]
70
+ assert not nx.is_graphical(z, method="hh")
71
+ assert not nx.is_graphical(z, method="eg")
72
+ z = [6, 5, 4, 4, 2, 1, 1, 1]
73
+ assert not nx.is_graphical(z, method="hh")
74
+ assert not nx.is_graphical(z, method="eg")
75
+ z = [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4]
76
+ assert not nx.is_graphical(z, method="hh")
77
+ assert not nx.is_graphical(z, method="eg")
78
+
79
+
80
+ def test_directed_degree_sequence():
81
+ # Test a range of valid directed degree sequences
82
+ n, r = 100, 10
83
+ p = 1.0 / r
84
+ for i in range(r):
85
+ G = nx.erdos_renyi_graph(n, p * (i + 1), None, True)
86
+ din = (d for n, d in G.in_degree())
87
+ dout = (d for n, d in G.out_degree())
88
+ assert nx.is_digraphical(din, dout)
89
+
90
+
91
+ def test_small_directed_sequences():
92
+ dout = [5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1]
93
+ din = [3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1]
94
+ assert nx.is_digraphical(din, dout)
95
+ # Test nongraphical directed sequence
96
+ dout = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1]
97
+ din = [103, 102, 102, 102, 102, 102, 102, 102, 102, 102]
98
+ assert not nx.is_digraphical(din, dout)
99
+ # Test digraphical small sequence
100
+ dout = [1, 1, 1, 1, 1, 2, 2, 2, 3, 4]
101
+ din = [2, 2, 2, 2, 2, 2, 2, 2, 1, 1]
102
+ assert nx.is_digraphical(din, dout)
103
+ # Test nonmatching sum
104
+ din = [2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1]
105
+ assert not nx.is_digraphical(din, dout)
106
+ # Test for negative integer in sequence
107
+ din = [2, 2, 2, -2, 2, 2, 2, 2, 1, 1, 4]
108
+ assert not nx.is_digraphical(din, dout)
109
+ # Test for noninteger
110
+ din = dout = [1, 1, 1.1, 1]
111
+ assert not nx.is_digraphical(din, dout)
112
+ din = dout = [1, 1, "rer", 1]
113
+ assert not nx.is_digraphical(din, dout)
114
+
115
+
116
+ def test_multi_sequence():
117
+ # Test nongraphical multi sequence
118
+ seq = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1]
119
+ assert not nx.is_multigraphical(seq)
120
+ # Test small graphical multi sequence
121
+ seq = [6, 5, 4, 4, 2, 1, 1, 1]
122
+ assert nx.is_multigraphical(seq)
123
+ # Test for negative integer in sequence
124
+ seq = [6, 5, 4, -4, 2, 1, 1, 1]
125
+ assert not nx.is_multigraphical(seq)
126
+ # Test for sequence with odd sum
127
+ seq = [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 4]
128
+ assert not nx.is_multigraphical(seq)
129
+ # Test for noninteger
130
+ seq = [1, 1, 1.1, 1]
131
+ assert not nx.is_multigraphical(seq)
132
+ seq = [1, 1, "rer", 1]
133
+ assert not nx.is_multigraphical(seq)
134
+
135
+
136
+ def test_pseudo_sequence():
137
+ # Test small valid pseudo sequence
138
+ seq = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1]
139
+ assert nx.is_pseudographical(seq)
140
+ # Test for sequence with odd sum
141
+ seq = [1000, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1]
142
+ assert not nx.is_pseudographical(seq)
143
+ # Test for negative integer in sequence
144
+ seq = [1000, 3, 3, 3, 3, 2, 2, -2, 1, 1]
145
+ assert not nx.is_pseudographical(seq)
146
+ # Test for noninteger
147
+ seq = [1, 1, 1.1, 1]
148
+ assert not nx.is_pseudographical(seq)
149
+ seq = [1, 1, "rer", 1]
150
+ assert not nx.is_pseudographical(seq)
151
+
152
+
153
+ def test_numpy_degree_sequence():
154
+ np = pytest.importorskip("numpy")
155
+ ds = np.array([1, 2, 2, 2, 1], dtype=np.int64)
156
+ assert nx.is_graphical(ds, "eg")
157
+ assert nx.is_graphical(ds, "hh")
158
+ ds = np.array([1, 2, 2, 2, 1], dtype=np.float64)
159
+ assert nx.is_graphical(ds, "eg")
160
+ assert nx.is_graphical(ds, "hh")
161
+ ds = np.array([1.1, 2, 2, 2, 1], dtype=np.float64)
162
+ pytest.raises(nx.NetworkXException, nx.is_graphical, ds, "eg")
163
+ pytest.raises(nx.NetworkXException, nx.is_graphical, ds, "hh")
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_matching.py ADDED
@@ -0,0 +1,605 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import math
2
+ from itertools import permutations
3
+
4
+ from pytest import raises
5
+
6
+ import networkx as nx
7
+ from networkx.algorithms.matching import matching_dict_to_set
8
+ from networkx.utils import edges_equal
9
+
10
+
11
+ class TestMaxWeightMatching:
12
+ """Unit tests for the
13
+ :func:`~networkx.algorithms.matching.max_weight_matching` function.
14
+
15
+ """
16
+
17
+ def test_trivial1(self):
18
+ """Empty graph"""
19
+ G = nx.Graph()
20
+ assert nx.max_weight_matching(G) == set()
21
+ assert nx.min_weight_matching(G) == set()
22
+
23
+ def test_selfloop(self):
24
+ G = nx.Graph()
25
+ G.add_edge(0, 0, weight=100)
26
+ assert nx.max_weight_matching(G) == set()
27
+ assert nx.min_weight_matching(G) == set()
28
+
29
+ def test_single_edge(self):
30
+ G = nx.Graph()
31
+ G.add_edge(0, 1)
32
+ assert edges_equal(
33
+ nx.max_weight_matching(G), matching_dict_to_set({0: 1, 1: 0})
34
+ )
35
+ assert edges_equal(
36
+ nx.min_weight_matching(G), matching_dict_to_set({0: 1, 1: 0})
37
+ )
38
+
39
+ def test_two_path(self):
40
+ G = nx.Graph()
41
+ G.add_edge("one", "two", weight=10)
42
+ G.add_edge("two", "three", weight=11)
43
+ assert edges_equal(
44
+ nx.max_weight_matching(G),
45
+ matching_dict_to_set({"three": "two", "two": "three"}),
46
+ )
47
+ assert edges_equal(
48
+ nx.min_weight_matching(G),
49
+ matching_dict_to_set({"one": "two", "two": "one"}),
50
+ )
51
+
52
+ def test_path(self):
53
+ G = nx.Graph()
54
+ G.add_edge(1, 2, weight=5)
55
+ G.add_edge(2, 3, weight=11)
56
+ G.add_edge(3, 4, weight=5)
57
+ assert edges_equal(
58
+ nx.max_weight_matching(G), matching_dict_to_set({2: 3, 3: 2})
59
+ )
60
+ assert edges_equal(
61
+ nx.max_weight_matching(G, 1), matching_dict_to_set({1: 2, 2: 1, 3: 4, 4: 3})
62
+ )
63
+ assert edges_equal(
64
+ nx.min_weight_matching(G), matching_dict_to_set({1: 2, 3: 4})
65
+ )
66
+ assert edges_equal(
67
+ nx.min_weight_matching(G, 1), matching_dict_to_set({1: 2, 3: 4})
68
+ )
69
+
70
+ def test_square(self):
71
+ G = nx.Graph()
72
+ G.add_edge(1, 4, weight=2)
73
+ G.add_edge(2, 3, weight=2)
74
+ G.add_edge(1, 2, weight=1)
75
+ G.add_edge(3, 4, weight=4)
76
+ assert edges_equal(
77
+ nx.max_weight_matching(G), matching_dict_to_set({1: 2, 3: 4})
78
+ )
79
+ assert edges_equal(
80
+ nx.min_weight_matching(G), matching_dict_to_set({1: 4, 2: 3})
81
+ )
82
+
83
+ def test_edge_attribute_name(self):
84
+ G = nx.Graph()
85
+ G.add_edge("one", "two", weight=10, abcd=11)
86
+ G.add_edge("two", "three", weight=11, abcd=10)
87
+ assert edges_equal(
88
+ nx.max_weight_matching(G, weight="abcd"),
89
+ matching_dict_to_set({"one": "two", "two": "one"}),
90
+ )
91
+ assert edges_equal(
92
+ nx.min_weight_matching(G, weight="abcd"),
93
+ matching_dict_to_set({"three": "two"}),
94
+ )
95
+
96
+ def test_floating_point_weights(self):
97
+ G = nx.Graph()
98
+ G.add_edge(1, 2, weight=math.pi)
99
+ G.add_edge(2, 3, weight=math.exp(1))
100
+ G.add_edge(1, 3, weight=3.0)
101
+ G.add_edge(1, 4, weight=math.sqrt(2.0))
102
+ assert edges_equal(
103
+ nx.max_weight_matching(G), matching_dict_to_set({1: 4, 2: 3, 3: 2, 4: 1})
104
+ )
105
+ assert edges_equal(
106
+ nx.min_weight_matching(G), matching_dict_to_set({1: 4, 2: 3, 3: 2, 4: 1})
107
+ )
108
+
109
+ def test_negative_weights(self):
110
+ G = nx.Graph()
111
+ G.add_edge(1, 2, weight=2)
112
+ G.add_edge(1, 3, weight=-2)
113
+ G.add_edge(2, 3, weight=1)
114
+ G.add_edge(2, 4, weight=-1)
115
+ G.add_edge(3, 4, weight=-6)
116
+ assert edges_equal(
117
+ nx.max_weight_matching(G), matching_dict_to_set({1: 2, 2: 1})
118
+ )
119
+ assert edges_equal(
120
+ nx.max_weight_matching(G, maxcardinality=True),
121
+ matching_dict_to_set({1: 3, 2: 4, 3: 1, 4: 2}),
122
+ )
123
+ assert edges_equal(
124
+ nx.min_weight_matching(G), matching_dict_to_set({1: 2, 3: 4})
125
+ )
126
+
127
+ def test_s_blossom(self):
128
+ """Create S-blossom and use it for augmentation:"""
129
+ G = nx.Graph()
130
+ G.add_weighted_edges_from([(1, 2, 8), (1, 3, 9), (2, 3, 10), (3, 4, 7)])
131
+ answer = matching_dict_to_set({1: 2, 2: 1, 3: 4, 4: 3})
132
+ assert edges_equal(nx.max_weight_matching(G), answer)
133
+ assert edges_equal(nx.min_weight_matching(G), answer)
134
+
135
+ G.add_weighted_edges_from([(1, 6, 5), (4, 5, 6)])
136
+ answer = matching_dict_to_set({1: 6, 2: 3, 3: 2, 4: 5, 5: 4, 6: 1})
137
+ assert edges_equal(nx.max_weight_matching(G), answer)
138
+ assert edges_equal(nx.min_weight_matching(G), answer)
139
+
140
+ def test_s_t_blossom(self):
141
+ """Create S-blossom, relabel as T-blossom, use for augmentation:"""
142
+ G = nx.Graph()
143
+ G.add_weighted_edges_from(
144
+ [(1, 2, 9), (1, 3, 8), (2, 3, 10), (1, 4, 5), (4, 5, 4), (1, 6, 3)]
145
+ )
146
+ answer = matching_dict_to_set({1: 6, 2: 3, 3: 2, 4: 5, 5: 4, 6: 1})
147
+ assert edges_equal(nx.max_weight_matching(G), answer)
148
+ assert edges_equal(nx.min_weight_matching(G), answer)
149
+
150
+ G.add_edge(4, 5, weight=3)
151
+ G.add_edge(1, 6, weight=4)
152
+ assert edges_equal(nx.max_weight_matching(G), answer)
153
+ assert edges_equal(nx.min_weight_matching(G), answer)
154
+
155
+ G.remove_edge(1, 6)
156
+ G.add_edge(3, 6, weight=4)
157
+ answer = matching_dict_to_set({1: 2, 2: 1, 3: 6, 4: 5, 5: 4, 6: 3})
158
+ assert edges_equal(nx.max_weight_matching(G), answer)
159
+ assert edges_equal(nx.min_weight_matching(G), answer)
160
+
161
+ def test_nested_s_blossom(self):
162
+ """Create nested S-blossom, use for augmentation:"""
163
+
164
+ G = nx.Graph()
165
+ G.add_weighted_edges_from(
166
+ [
167
+ (1, 2, 9),
168
+ (1, 3, 9),
169
+ (2, 3, 10),
170
+ (2, 4, 8),
171
+ (3, 5, 8),
172
+ (4, 5, 10),
173
+ (5, 6, 6),
174
+ ]
175
+ )
176
+ dict_format = {1: 3, 2: 4, 3: 1, 4: 2, 5: 6, 6: 5}
177
+ expected = {frozenset(e) for e in matching_dict_to_set(dict_format)}
178
+ answer = {frozenset(e) for e in nx.max_weight_matching(G)}
179
+ assert answer == expected
180
+ answer = {frozenset(e) for e in nx.min_weight_matching(G)}
181
+ assert answer == expected
182
+
183
+ def test_nested_s_blossom_relabel(self):
184
+ """Create S-blossom, relabel as S, include in nested S-blossom:"""
185
+ G = nx.Graph()
186
+ G.add_weighted_edges_from(
187
+ [
188
+ (1, 2, 10),
189
+ (1, 7, 10),
190
+ (2, 3, 12),
191
+ (3, 4, 20),
192
+ (3, 5, 20),
193
+ (4, 5, 25),
194
+ (5, 6, 10),
195
+ (6, 7, 10),
196
+ (7, 8, 8),
197
+ ]
198
+ )
199
+ answer = matching_dict_to_set({1: 2, 2: 1, 3: 4, 4: 3, 5: 6, 6: 5, 7: 8, 8: 7})
200
+ assert edges_equal(nx.max_weight_matching(G), answer)
201
+ assert edges_equal(nx.min_weight_matching(G), answer)
202
+
203
+ def test_nested_s_blossom_expand(self):
204
+ """Create nested S-blossom, augment, expand recursively:"""
205
+ G = nx.Graph()
206
+ G.add_weighted_edges_from(
207
+ [
208
+ (1, 2, 8),
209
+ (1, 3, 8),
210
+ (2, 3, 10),
211
+ (2, 4, 12),
212
+ (3, 5, 12),
213
+ (4, 5, 14),
214
+ (4, 6, 12),
215
+ (5, 7, 12),
216
+ (6, 7, 14),
217
+ (7, 8, 12),
218
+ ]
219
+ )
220
+ answer = matching_dict_to_set({1: 2, 2: 1, 3: 5, 4: 6, 5: 3, 6: 4, 7: 8, 8: 7})
221
+ assert edges_equal(nx.max_weight_matching(G), answer)
222
+ assert edges_equal(nx.min_weight_matching(G), answer)
223
+
224
+ def test_s_blossom_relabel_expand(self):
225
+ """Create S-blossom, relabel as T, expand:"""
226
+ G = nx.Graph()
227
+ G.add_weighted_edges_from(
228
+ [
229
+ (1, 2, 23),
230
+ (1, 5, 22),
231
+ (1, 6, 15),
232
+ (2, 3, 25),
233
+ (3, 4, 22),
234
+ (4, 5, 25),
235
+ (4, 8, 14),
236
+ (5, 7, 13),
237
+ ]
238
+ )
239
+ answer = matching_dict_to_set({1: 6, 2: 3, 3: 2, 4: 8, 5: 7, 6: 1, 7: 5, 8: 4})
240
+ assert edges_equal(nx.max_weight_matching(G), answer)
241
+ assert edges_equal(nx.min_weight_matching(G), answer)
242
+
243
+ def test_nested_s_blossom_relabel_expand(self):
244
+ """Create nested S-blossom, relabel as T, expand:"""
245
+ G = nx.Graph()
246
+ G.add_weighted_edges_from(
247
+ [
248
+ (1, 2, 19),
249
+ (1, 3, 20),
250
+ (1, 8, 8),
251
+ (2, 3, 25),
252
+ (2, 4, 18),
253
+ (3, 5, 18),
254
+ (4, 5, 13),
255
+ (4, 7, 7),
256
+ (5, 6, 7),
257
+ ]
258
+ )
259
+ answer = matching_dict_to_set({1: 8, 2: 3, 3: 2, 4: 7, 5: 6, 6: 5, 7: 4, 8: 1})
260
+ assert edges_equal(nx.max_weight_matching(G), answer)
261
+ assert edges_equal(nx.min_weight_matching(G), answer)
262
+
263
+ def test_nasty_blossom1(self):
264
+ """Create blossom, relabel as T in more than one way, expand,
265
+ augment:
266
+ """
267
+ G = nx.Graph()
268
+ G.add_weighted_edges_from(
269
+ [
270
+ (1, 2, 45),
271
+ (1, 5, 45),
272
+ (2, 3, 50),
273
+ (3, 4, 45),
274
+ (4, 5, 50),
275
+ (1, 6, 30),
276
+ (3, 9, 35),
277
+ (4, 8, 35),
278
+ (5, 7, 26),
279
+ (9, 10, 5),
280
+ ]
281
+ )
282
+ ansdict = {1: 6, 2: 3, 3: 2, 4: 8, 5: 7, 6: 1, 7: 5, 8: 4, 9: 10, 10: 9}
283
+ answer = matching_dict_to_set(ansdict)
284
+ assert edges_equal(nx.max_weight_matching(G), answer)
285
+ assert edges_equal(nx.min_weight_matching(G), answer)
286
+
287
+ def test_nasty_blossom2(self):
288
+ """Again but slightly different:"""
289
+ G = nx.Graph()
290
+ G.add_weighted_edges_from(
291
+ [
292
+ (1, 2, 45),
293
+ (1, 5, 45),
294
+ (2, 3, 50),
295
+ (3, 4, 45),
296
+ (4, 5, 50),
297
+ (1, 6, 30),
298
+ (3, 9, 35),
299
+ (4, 8, 26),
300
+ (5, 7, 40),
301
+ (9, 10, 5),
302
+ ]
303
+ )
304
+ ans = {1: 6, 2: 3, 3: 2, 4: 8, 5: 7, 6: 1, 7: 5, 8: 4, 9: 10, 10: 9}
305
+ answer = matching_dict_to_set(ans)
306
+ assert edges_equal(nx.max_weight_matching(G), answer)
307
+ assert edges_equal(nx.min_weight_matching(G), answer)
308
+
309
+ def test_nasty_blossom_least_slack(self):
310
+ """Create blossom, relabel as T, expand such that a new
311
+ least-slack S-to-free dge is produced, augment:
312
+ """
313
+ G = nx.Graph()
314
+ G.add_weighted_edges_from(
315
+ [
316
+ (1, 2, 45),
317
+ (1, 5, 45),
318
+ (2, 3, 50),
319
+ (3, 4, 45),
320
+ (4, 5, 50),
321
+ (1, 6, 30),
322
+ (3, 9, 35),
323
+ (4, 8, 28),
324
+ (5, 7, 26),
325
+ (9, 10, 5),
326
+ ]
327
+ )
328
+ ans = {1: 6, 2: 3, 3: 2, 4: 8, 5: 7, 6: 1, 7: 5, 8: 4, 9: 10, 10: 9}
329
+ answer = matching_dict_to_set(ans)
330
+ assert edges_equal(nx.max_weight_matching(G), answer)
331
+ assert edges_equal(nx.min_weight_matching(G), answer)
332
+
333
+ def test_nasty_blossom_augmenting(self):
334
+ """Create nested blossom, relabel as T in more than one way"""
335
+ # expand outer blossom such that inner blossom ends up on an
336
+ # augmenting path:
337
+ G = nx.Graph()
338
+ G.add_weighted_edges_from(
339
+ [
340
+ (1, 2, 45),
341
+ (1, 7, 45),
342
+ (2, 3, 50),
343
+ (3, 4, 45),
344
+ (4, 5, 95),
345
+ (4, 6, 94),
346
+ (5, 6, 94),
347
+ (6, 7, 50),
348
+ (1, 8, 30),
349
+ (3, 11, 35),
350
+ (5, 9, 36),
351
+ (7, 10, 26),
352
+ (11, 12, 5),
353
+ ]
354
+ )
355
+ ans = {
356
+ 1: 8,
357
+ 2: 3,
358
+ 3: 2,
359
+ 4: 6,
360
+ 5: 9,
361
+ 6: 4,
362
+ 7: 10,
363
+ 8: 1,
364
+ 9: 5,
365
+ 10: 7,
366
+ 11: 12,
367
+ 12: 11,
368
+ }
369
+ answer = matching_dict_to_set(ans)
370
+ assert edges_equal(nx.max_weight_matching(G), answer)
371
+ assert edges_equal(nx.min_weight_matching(G), answer)
372
+
373
+ def test_nasty_blossom_expand_recursively(self):
374
+ """Create nested S-blossom, relabel as S, expand recursively:"""
375
+ G = nx.Graph()
376
+ G.add_weighted_edges_from(
377
+ [
378
+ (1, 2, 40),
379
+ (1, 3, 40),
380
+ (2, 3, 60),
381
+ (2, 4, 55),
382
+ (3, 5, 55),
383
+ (4, 5, 50),
384
+ (1, 8, 15),
385
+ (5, 7, 30),
386
+ (7, 6, 10),
387
+ (8, 10, 10),
388
+ (4, 9, 30),
389
+ ]
390
+ )
391
+ ans = {1: 2, 2: 1, 3: 5, 4: 9, 5: 3, 6: 7, 7: 6, 8: 10, 9: 4, 10: 8}
392
+ answer = matching_dict_to_set(ans)
393
+ assert edges_equal(nx.max_weight_matching(G), answer)
394
+ assert edges_equal(nx.min_weight_matching(G), answer)
395
+
396
+ def test_wrong_graph_type(self):
397
+ error = nx.NetworkXNotImplemented
398
+ raises(error, nx.max_weight_matching, nx.MultiGraph())
399
+ raises(error, nx.max_weight_matching, nx.MultiDiGraph())
400
+ raises(error, nx.max_weight_matching, nx.DiGraph())
401
+ raises(error, nx.min_weight_matching, nx.DiGraph())
402
+
403
+
404
+ class TestIsMatching:
405
+ """Unit tests for the
406
+ :func:`~networkx.algorithms.matching.is_matching` function.
407
+
408
+ """
409
+
410
+ def test_dict(self):
411
+ G = nx.path_graph(4)
412
+ assert nx.is_matching(G, {0: 1, 1: 0, 2: 3, 3: 2})
413
+
414
+ def test_empty_matching(self):
415
+ G = nx.path_graph(4)
416
+ assert nx.is_matching(G, set())
417
+
418
+ def test_single_edge(self):
419
+ G = nx.path_graph(4)
420
+ assert nx.is_matching(G, {(1, 2)})
421
+
422
+ def test_edge_order(self):
423
+ G = nx.path_graph(4)
424
+ assert nx.is_matching(G, {(0, 1), (2, 3)})
425
+ assert nx.is_matching(G, {(1, 0), (2, 3)})
426
+ assert nx.is_matching(G, {(0, 1), (3, 2)})
427
+ assert nx.is_matching(G, {(1, 0), (3, 2)})
428
+
429
+ def test_valid_matching(self):
430
+ G = nx.path_graph(4)
431
+ assert nx.is_matching(G, {(0, 1), (2, 3)})
432
+
433
+ def test_invalid_input(self):
434
+ error = nx.NetworkXError
435
+ G = nx.path_graph(4)
436
+ # edge to node not in G
437
+ raises(error, nx.is_matching, G, {(0, 5), (2, 3)})
438
+ # edge not a 2-tuple
439
+ raises(error, nx.is_matching, G, {(0, 1, 2), (2, 3)})
440
+ raises(error, nx.is_matching, G, {(0,), (2, 3)})
441
+
442
+ def test_selfloops(self):
443
+ error = nx.NetworkXError
444
+ G = nx.path_graph(4)
445
+ # selfloop for node not in G
446
+ raises(error, nx.is_matching, G, {(5, 5), (2, 3)})
447
+ # selfloop edge not in G
448
+ assert not nx.is_matching(G, {(0, 0), (1, 2), (2, 3)})
449
+ # selfloop edge in G
450
+ G.add_edge(0, 0)
451
+ assert not nx.is_matching(G, {(0, 0), (1, 2)})
452
+
453
+ def test_invalid_matching(self):
454
+ G = nx.path_graph(4)
455
+ assert not nx.is_matching(G, {(0, 1), (1, 2), (2, 3)})
456
+
457
+ def test_invalid_edge(self):
458
+ G = nx.path_graph(4)
459
+ assert not nx.is_matching(G, {(0, 3), (1, 2)})
460
+ raises(nx.NetworkXError, nx.is_matching, G, {(0, 55)})
461
+
462
+ G = nx.DiGraph(G.edges)
463
+ assert nx.is_matching(G, {(0, 1)})
464
+ assert not nx.is_matching(G, {(1, 0)})
465
+
466
+
467
+ class TestIsMaximalMatching:
468
+ """Unit tests for the
469
+ :func:`~networkx.algorithms.matching.is_maximal_matching` function.
470
+
471
+ """
472
+
473
+ def test_dict(self):
474
+ G = nx.path_graph(4)
475
+ assert nx.is_maximal_matching(G, {0: 1, 1: 0, 2: 3, 3: 2})
476
+
477
+ def test_invalid_input(self):
478
+ error = nx.NetworkXError
479
+ G = nx.path_graph(4)
480
+ # edge to node not in G
481
+ raises(error, nx.is_maximal_matching, G, {(0, 5)})
482
+ raises(error, nx.is_maximal_matching, G, {(5, 0)})
483
+ # edge not a 2-tuple
484
+ raises(error, nx.is_maximal_matching, G, {(0, 1, 2), (2, 3)})
485
+ raises(error, nx.is_maximal_matching, G, {(0,), (2, 3)})
486
+
487
+ def test_valid(self):
488
+ G = nx.path_graph(4)
489
+ assert nx.is_maximal_matching(G, {(0, 1), (2, 3)})
490
+
491
+ def test_not_matching(self):
492
+ G = nx.path_graph(4)
493
+ assert not nx.is_maximal_matching(G, {(0, 1), (1, 2), (2, 3)})
494
+ assert not nx.is_maximal_matching(G, {(0, 3)})
495
+ G.add_edge(0, 0)
496
+ assert not nx.is_maximal_matching(G, {(0, 0)})
497
+
498
+ def test_not_maximal(self):
499
+ G = nx.path_graph(4)
500
+ assert not nx.is_maximal_matching(G, {(0, 1)})
501
+
502
+
503
+ class TestIsPerfectMatching:
504
+ """Unit tests for the
505
+ :func:`~networkx.algorithms.matching.is_perfect_matching` function.
506
+
507
+ """
508
+
509
+ def test_dict(self):
510
+ G = nx.path_graph(4)
511
+ assert nx.is_perfect_matching(G, {0: 1, 1: 0, 2: 3, 3: 2})
512
+
513
+ def test_valid(self):
514
+ G = nx.path_graph(4)
515
+ assert nx.is_perfect_matching(G, {(0, 1), (2, 3)})
516
+
517
+ def test_valid_not_path(self):
518
+ G = nx.cycle_graph(4)
519
+ G.add_edge(0, 4)
520
+ G.add_edge(1, 4)
521
+ G.add_edge(5, 2)
522
+
523
+ assert nx.is_perfect_matching(G, {(1, 4), (0, 3), (5, 2)})
524
+
525
+ def test_invalid_input(self):
526
+ error = nx.NetworkXError
527
+ G = nx.path_graph(4)
528
+ # edge to node not in G
529
+ raises(error, nx.is_perfect_matching, G, {(0, 5)})
530
+ raises(error, nx.is_perfect_matching, G, {(5, 0)})
531
+ # edge not a 2-tuple
532
+ raises(error, nx.is_perfect_matching, G, {(0, 1, 2), (2, 3)})
533
+ raises(error, nx.is_perfect_matching, G, {(0,), (2, 3)})
534
+
535
+ def test_selfloops(self):
536
+ error = nx.NetworkXError
537
+ G = nx.path_graph(4)
538
+ # selfloop for node not in G
539
+ raises(error, nx.is_perfect_matching, G, {(5, 5), (2, 3)})
540
+ # selfloop edge not in G
541
+ assert not nx.is_perfect_matching(G, {(0, 0), (1, 2), (2, 3)})
542
+ # selfloop edge in G
543
+ G.add_edge(0, 0)
544
+ assert not nx.is_perfect_matching(G, {(0, 0), (1, 2)})
545
+
546
+ def test_not_matching(self):
547
+ G = nx.path_graph(4)
548
+ assert not nx.is_perfect_matching(G, {(0, 3)})
549
+ assert not nx.is_perfect_matching(G, {(0, 1), (1, 2), (2, 3)})
550
+
551
+ def test_maximal_but_not_perfect(self):
552
+ G = nx.cycle_graph(4)
553
+ G.add_edge(0, 4)
554
+ G.add_edge(1, 4)
555
+
556
+ assert not nx.is_perfect_matching(G, {(1, 4), (0, 3)})
557
+
558
+
559
+ class TestMaximalMatching:
560
+ """Unit tests for the
561
+ :func:`~networkx.algorithms.matching.maximal_matching`.
562
+
563
+ """
564
+
565
+ def test_valid_matching(self):
566
+ edges = [(1, 2), (1, 5), (2, 3), (2, 5), (3, 4), (3, 6), (5, 6)]
567
+ G = nx.Graph(edges)
568
+ matching = nx.maximal_matching(G)
569
+ assert nx.is_maximal_matching(G, matching)
570
+
571
+ def test_single_edge_matching(self):
572
+ # In the star graph, any maximal matching has just one edge.
573
+ G = nx.star_graph(5)
574
+ matching = nx.maximal_matching(G)
575
+ assert 1 == len(matching)
576
+ assert nx.is_maximal_matching(G, matching)
577
+
578
+ def test_self_loops(self):
579
+ # Create the path graph with two self-loops.
580
+ G = nx.path_graph(3)
581
+ G.add_edges_from([(0, 0), (1, 1)])
582
+ matching = nx.maximal_matching(G)
583
+ assert len(matching) == 1
584
+ # The matching should never include self-loops.
585
+ assert not any(u == v for u, v in matching)
586
+ assert nx.is_maximal_matching(G, matching)
587
+
588
+ def test_ordering(self):
589
+ """Tests that a maximal matching is computed correctly
590
+ regardless of the order in which nodes are added to the graph.
591
+
592
+ """
593
+ for nodes in permutations(range(3)):
594
+ G = nx.Graph()
595
+ G.add_nodes_from(nodes)
596
+ G.add_edges_from([(0, 1), (0, 2)])
597
+ matching = nx.maximal_matching(G)
598
+ assert len(matching) == 1
599
+ assert nx.is_maximal_matching(G, matching)
600
+
601
+ def test_wrong_graph_type(self):
602
+ error = nx.NetworkXNotImplemented
603
+ raises(error, nx.maximal_matching, nx.MultiGraph())
604
+ raises(error, nx.maximal_matching, nx.MultiDiGraph())
605
+ raises(error, nx.maximal_matching, nx.DiGraph())
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_polynomials.py ADDED
@@ -0,0 +1,57 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Unit tests for the :mod:`networkx.algorithms.polynomials` module."""
2
+
3
+ import pytest
4
+
5
+ import networkx as nx
6
+
7
+ sympy = pytest.importorskip("sympy")
8
+
9
+
10
+ # Mapping of input graphs to a string representation of their tutte polynomials
11
+ _test_tutte_graphs = {
12
+ nx.complete_graph(1): "1",
13
+ nx.complete_graph(4): "x**3 + 3*x**2 + 4*x*y + 2*x + y**3 + 3*y**2 + 2*y",
14
+ nx.cycle_graph(5): "x**4 + x**3 + x**2 + x + y",
15
+ nx.diamond_graph(): "x**3 + 2*x**2 + 2*x*y + x + y**2 + y",
16
+ }
17
+
18
+ _test_chromatic_graphs = {
19
+ nx.complete_graph(1): "x",
20
+ nx.complete_graph(4): "x**4 - 6*x**3 + 11*x**2 - 6*x",
21
+ nx.cycle_graph(5): "x**5 - 5*x**4 + 10*x**3 - 10*x**2 + 4*x",
22
+ nx.diamond_graph(): "x**4 - 5*x**3 + 8*x**2 - 4*x",
23
+ nx.path_graph(5): "x**5 - 4*x**4 + 6*x**3 - 4*x**2 + x",
24
+ }
25
+
26
+
27
+ @pytest.mark.parametrize(("G", "expected"), _test_tutte_graphs.items())
28
+ def test_tutte_polynomial(G, expected):
29
+ assert nx.tutte_polynomial(G).equals(expected)
30
+
31
+
32
+ @pytest.mark.parametrize("G", _test_tutte_graphs.keys())
33
+ def test_tutte_polynomial_disjoint(G):
34
+ """Tutte polynomial factors into the Tutte polynomials of its components.
35
+ Verify this property with the disjoint union of two copies of the input graph.
36
+ """
37
+ t_g = nx.tutte_polynomial(G)
38
+ H = nx.disjoint_union(G, G)
39
+ t_h = nx.tutte_polynomial(H)
40
+ assert sympy.simplify(t_g * t_g).equals(t_h)
41
+
42
+
43
+ @pytest.mark.parametrize(("G", "expected"), _test_chromatic_graphs.items())
44
+ def test_chromatic_polynomial(G, expected):
45
+ assert nx.chromatic_polynomial(G).equals(expected)
46
+
47
+
48
+ @pytest.mark.parametrize("G", _test_chromatic_graphs.keys())
49
+ def test_chromatic_polynomial_disjoint(G):
50
+ """Chromatic polynomial factors into the Chromatic polynomials of its
51
+ components. Verify this property with the disjoint union of two copies of
52
+ the input graph.
53
+ """
54
+ x_g = nx.chromatic_polynomial(G)
55
+ H = nx.disjoint_union(G, G)
56
+ x_h = nx.chromatic_polynomial(H)
57
+ assert sympy.simplify(x_g * x_g).equals(x_h)
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_reciprocity.py ADDED
@@ -0,0 +1,37 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import pytest
2
+
3
+ import networkx as nx
4
+
5
+
6
+ class TestReciprocity:
7
+ # test overall reciprocity by passing whole graph
8
+ def test_reciprocity_digraph(self):
9
+ DG = nx.DiGraph([(1, 2), (2, 1)])
10
+ reciprocity = nx.reciprocity(DG)
11
+ assert reciprocity == 1.0
12
+
13
+ # test empty graph's overall reciprocity which will throw an error
14
+ def test_overall_reciprocity_empty_graph(self):
15
+ with pytest.raises(nx.NetworkXError):
16
+ DG = nx.DiGraph()
17
+ nx.overall_reciprocity(DG)
18
+
19
+ # test for reciprocity for a list of nodes
20
+ def test_reciprocity_graph_nodes(self):
21
+ DG = nx.DiGraph([(1, 2), (2, 3), (3, 2)])
22
+ reciprocity = nx.reciprocity(DG, [1, 2])
23
+ expected_reciprocity = {1: 0.0, 2: 0.6666666666666666}
24
+ assert reciprocity == expected_reciprocity
25
+
26
+ # test for reciprocity for a single node
27
+ def test_reciprocity_graph_node(self):
28
+ DG = nx.DiGraph([(1, 2), (2, 3), (3, 2)])
29
+ reciprocity = nx.reciprocity(DG, 2)
30
+ assert reciprocity == 0.6666666666666666
31
+
32
+ # test for reciprocity for an isolated node
33
+ def test_reciprocity_graph_isolated_nodes(self):
34
+ with pytest.raises(nx.NetworkXError):
35
+ DG = nx.DiGraph([(1, 2)])
36
+ DG.add_node(4)
37
+ nx.reciprocity(DG, 4)
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_simple_paths.py ADDED
@@ -0,0 +1,792 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import random
2
+
3
+ import pytest
4
+
5
+ import networkx as nx
6
+ from networkx import convert_node_labels_to_integers as cnlti
7
+ from networkx.algorithms.simple_paths import (
8
+ _bidirectional_dijkstra,
9
+ _bidirectional_shortest_path,
10
+ )
11
+ from networkx.utils import arbitrary_element, pairwise
12
+
13
+
14
+ class TestIsSimplePath:
15
+ """Unit tests for the
16
+ :func:`networkx.algorithms.simple_paths.is_simple_path` function.
17
+
18
+ """
19
+
20
+ def test_empty_list(self):
21
+ """Tests that the empty list is not a valid path, since there
22
+ should be a one-to-one correspondence between paths as lists of
23
+ nodes and paths as lists of edges.
24
+
25
+ """
26
+ G = nx.trivial_graph()
27
+ assert not nx.is_simple_path(G, [])
28
+
29
+ def test_trivial_path(self):
30
+ """Tests that the trivial path, a path of length one, is
31
+ considered a simple path in a graph.
32
+
33
+ """
34
+ G = nx.trivial_graph()
35
+ assert nx.is_simple_path(G, [0])
36
+
37
+ def test_trivial_nonpath(self):
38
+ """Tests that a list whose sole element is an object not in the
39
+ graph is not considered a simple path.
40
+
41
+ """
42
+ G = nx.trivial_graph()
43
+ assert not nx.is_simple_path(G, ["not a node"])
44
+
45
+ def test_simple_path(self):
46
+ G = nx.path_graph(2)
47
+ assert nx.is_simple_path(G, [0, 1])
48
+
49
+ def test_non_simple_path(self):
50
+ G = nx.path_graph(2)
51
+ assert not nx.is_simple_path(G, [0, 1, 0])
52
+
53
+ def test_cycle(self):
54
+ G = nx.cycle_graph(3)
55
+ assert not nx.is_simple_path(G, [0, 1, 2, 0])
56
+
57
+ def test_missing_node(self):
58
+ G = nx.path_graph(2)
59
+ assert not nx.is_simple_path(G, [0, 2])
60
+
61
+ def test_missing_starting_node(self):
62
+ G = nx.path_graph(2)
63
+ assert not nx.is_simple_path(G, [2, 0])
64
+
65
+ def test_directed_path(self):
66
+ G = nx.DiGraph([(0, 1), (1, 2)])
67
+ assert nx.is_simple_path(G, [0, 1, 2])
68
+
69
+ def test_directed_non_path(self):
70
+ G = nx.DiGraph([(0, 1), (1, 2)])
71
+ assert not nx.is_simple_path(G, [2, 1, 0])
72
+
73
+ def test_directed_cycle(self):
74
+ G = nx.DiGraph([(0, 1), (1, 2), (2, 0)])
75
+ assert not nx.is_simple_path(G, [0, 1, 2, 0])
76
+
77
+ def test_multigraph(self):
78
+ G = nx.MultiGraph([(0, 1), (0, 1)])
79
+ assert nx.is_simple_path(G, [0, 1])
80
+
81
+ def test_multidigraph(self):
82
+ G = nx.MultiDiGraph([(0, 1), (0, 1), (1, 0), (1, 0)])
83
+ assert nx.is_simple_path(G, [0, 1])
84
+
85
+
86
+ # Tests for all_simple_paths
87
+ def test_all_simple_paths():
88
+ G = nx.path_graph(4)
89
+ paths = nx.all_simple_paths(G, 0, 3)
90
+ assert {tuple(p) for p in paths} == {(0, 1, 2, 3)}
91
+
92
+
93
+ def test_all_simple_paths_with_two_targets_emits_two_paths():
94
+ G = nx.path_graph(4)
95
+ G.add_edge(2, 4)
96
+ paths = nx.all_simple_paths(G, 0, [3, 4])
97
+ assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)}
98
+
99
+
100
+ def test_digraph_all_simple_paths_with_two_targets_emits_two_paths():
101
+ G = nx.path_graph(4, create_using=nx.DiGraph())
102
+ G.add_edge(2, 4)
103
+ paths = nx.all_simple_paths(G, 0, [3, 4])
104
+ assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)}
105
+
106
+
107
+ def test_all_simple_paths_with_two_targets_cutoff():
108
+ G = nx.path_graph(4)
109
+ G.add_edge(2, 4)
110
+ paths = nx.all_simple_paths(G, 0, [3, 4], cutoff=3)
111
+ assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)}
112
+
113
+
114
+ def test_digraph_all_simple_paths_with_two_targets_cutoff():
115
+ G = nx.path_graph(4, create_using=nx.DiGraph())
116
+ G.add_edge(2, 4)
117
+ paths = nx.all_simple_paths(G, 0, [3, 4], cutoff=3)
118
+ assert {tuple(p) for p in paths} == {(0, 1, 2, 3), (0, 1, 2, 4)}
119
+
120
+
121
+ def test_all_simple_paths_with_two_targets_in_line_emits_two_paths():
122
+ G = nx.path_graph(4)
123
+ paths = nx.all_simple_paths(G, 0, [2, 3])
124
+ assert {tuple(p) for p in paths} == {(0, 1, 2), (0, 1, 2, 3)}
125
+
126
+
127
+ def test_all_simple_paths_ignores_cycle():
128
+ G = nx.cycle_graph(3, create_using=nx.DiGraph())
129
+ G.add_edge(1, 3)
130
+ paths = nx.all_simple_paths(G, 0, 3)
131
+ assert {tuple(p) for p in paths} == {(0, 1, 3)}
132
+
133
+
134
+ def test_all_simple_paths_with_two_targets_inside_cycle_emits_two_paths():
135
+ G = nx.cycle_graph(3, create_using=nx.DiGraph())
136
+ G.add_edge(1, 3)
137
+ paths = nx.all_simple_paths(G, 0, [2, 3])
138
+ assert {tuple(p) for p in paths} == {(0, 1, 2), (0, 1, 3)}
139
+
140
+
141
+ def test_all_simple_paths_source_target():
142
+ G = nx.path_graph(4)
143
+ assert list(nx.all_simple_paths(G, 1, 1)) == [[1]]
144
+
145
+
146
+ def test_all_simple_paths_cutoff():
147
+ G = nx.complete_graph(4)
148
+ paths = nx.all_simple_paths(G, 0, 1, cutoff=1)
149
+ assert {tuple(p) for p in paths} == {(0, 1)}
150
+ paths = nx.all_simple_paths(G, 0, 1, cutoff=2)
151
+ assert {tuple(p) for p in paths} == {(0, 1), (0, 2, 1), (0, 3, 1)}
152
+
153
+
154
+ def test_all_simple_paths_on_non_trivial_graph():
155
+ """you may need to draw this graph to make sure it is reasonable"""
156
+ G = nx.path_graph(5, create_using=nx.DiGraph())
157
+ G.add_edges_from([(0, 5), (1, 5), (1, 3), (5, 4), (4, 2), (4, 3)])
158
+ paths = nx.all_simple_paths(G, 1, [2, 3])
159
+ assert {tuple(p) for p in paths} == {
160
+ (1, 2),
161
+ (1, 3, 4, 2),
162
+ (1, 5, 4, 2),
163
+ (1, 3),
164
+ (1, 2, 3),
165
+ (1, 5, 4, 3),
166
+ (1, 5, 4, 2, 3),
167
+ }
168
+ paths = nx.all_simple_paths(G, 1, [2, 3], cutoff=3)
169
+ assert {tuple(p) for p in paths} == {
170
+ (1, 2),
171
+ (1, 3, 4, 2),
172
+ (1, 5, 4, 2),
173
+ (1, 3),
174
+ (1, 2, 3),
175
+ (1, 5, 4, 3),
176
+ }
177
+ paths = nx.all_simple_paths(G, 1, [2, 3], cutoff=2)
178
+ assert {tuple(p) for p in paths} == {(1, 2), (1, 3), (1, 2, 3)}
179
+
180
+
181
+ def test_all_simple_paths_multigraph():
182
+ G = nx.MultiGraph([(1, 2), (1, 2)])
183
+ assert list(nx.all_simple_paths(G, 1, 1)) == [[1]]
184
+ nx.add_path(G, [3, 1, 10, 2])
185
+ paths = list(nx.all_simple_paths(G, 1, 2))
186
+ assert len(paths) == 3
187
+ assert {tuple(p) for p in paths} == {(1, 2), (1, 2), (1, 10, 2)}
188
+
189
+
190
+ def test_all_simple_paths_multigraph_with_cutoff():
191
+ G = nx.MultiGraph([(1, 2), (1, 2), (1, 10), (10, 2)])
192
+ paths = list(nx.all_simple_paths(G, 1, 2, cutoff=1))
193
+ assert len(paths) == 2
194
+ assert {tuple(p) for p in paths} == {(1, 2), (1, 2)}
195
+
196
+ # See GitHub issue #6732.
197
+ G = nx.MultiGraph([(0, 1), (0, 2)])
198
+ assert list(nx.all_simple_paths(G, 0, {1, 2}, cutoff=1)) == [[0, 1], [0, 2]]
199
+
200
+
201
+ def test_all_simple_paths_directed():
202
+ G = nx.DiGraph()
203
+ nx.add_path(G, [1, 2, 3])
204
+ nx.add_path(G, [3, 2, 1])
205
+ paths = nx.all_simple_paths(G, 1, 3)
206
+ assert {tuple(p) for p in paths} == {(1, 2, 3)}
207
+
208
+
209
+ def test_all_simple_paths_empty():
210
+ G = nx.path_graph(4)
211
+ paths = nx.all_simple_paths(G, 0, 3, cutoff=2)
212
+ assert list(paths) == []
213
+
214
+
215
+ def test_all_simple_paths_corner_cases():
216
+ assert list(nx.all_simple_paths(nx.empty_graph(2), 0, 0)) == [[0]]
217
+ assert list(nx.all_simple_paths(nx.empty_graph(2), 0, 1)) == []
218
+ assert list(nx.all_simple_paths(nx.path_graph(9), 0, 8, 0)) == []
219
+
220
+
221
+ def test_all_simple_paths_source_in_targets():
222
+ # See GitHub issue #6690.
223
+ G = nx.path_graph(3)
224
+ assert list(nx.all_simple_paths(G, 0, {0, 1, 2})) == [[0], [0, 1], [0, 1, 2]]
225
+
226
+
227
+ def hamiltonian_path(G, source):
228
+ source = arbitrary_element(G)
229
+ neighbors = set(G[source]) - {source}
230
+ n = len(G)
231
+ for target in neighbors:
232
+ for path in nx.all_simple_paths(G, source, target):
233
+ if len(path) == n:
234
+ yield path
235
+
236
+
237
+ def test_hamiltonian_path():
238
+ from itertools import permutations
239
+
240
+ G = nx.complete_graph(4)
241
+ paths = [list(p) for p in hamiltonian_path(G, 0)]
242
+ exact = [[0] + list(p) for p in permutations([1, 2, 3], 3)]
243
+ assert sorted(paths) == sorted(exact)
244
+
245
+
246
+ def test_cutoff_zero():
247
+ G = nx.complete_graph(4)
248
+ paths = nx.all_simple_paths(G, 0, 3, cutoff=0)
249
+ assert [list(p) for p in paths] == []
250
+ paths = nx.all_simple_paths(nx.MultiGraph(G), 0, 3, cutoff=0)
251
+ assert [list(p) for p in paths] == []
252
+
253
+
254
+ def test_source_missing():
255
+ with pytest.raises(nx.NodeNotFound):
256
+ G = nx.Graph()
257
+ nx.add_path(G, [1, 2, 3])
258
+ list(nx.all_simple_paths(nx.MultiGraph(G), 0, 3))
259
+
260
+
261
+ def test_target_missing():
262
+ with pytest.raises(nx.NodeNotFound):
263
+ G = nx.Graph()
264
+ nx.add_path(G, [1, 2, 3])
265
+ list(nx.all_simple_paths(nx.MultiGraph(G), 1, 4))
266
+
267
+
268
+ # Tests for all_simple_edge_paths
269
+ def test_all_simple_edge_paths():
270
+ G = nx.path_graph(4)
271
+ paths = nx.all_simple_edge_paths(G, 0, 3)
272
+ assert {tuple(p) for p in paths} == {((0, 1), (1, 2), (2, 3))}
273
+
274
+
275
+ def test_all_simple_edge_paths_empty_path():
276
+ G = nx.empty_graph(1)
277
+ assert list(nx.all_simple_edge_paths(G, 0, 0)) == [[]]
278
+
279
+
280
+ def test_all_simple_edge_paths_with_two_targets_emits_two_paths():
281
+ G = nx.path_graph(4)
282
+ G.add_edge(2, 4)
283
+ paths = nx.all_simple_edge_paths(G, 0, [3, 4])
284
+ assert {tuple(p) for p in paths} == {
285
+ ((0, 1), (1, 2), (2, 3)),
286
+ ((0, 1), (1, 2), (2, 4)),
287
+ }
288
+
289
+
290
+ def test_digraph_all_simple_edge_paths_with_two_targets_emits_two_paths():
291
+ G = nx.path_graph(4, create_using=nx.DiGraph())
292
+ G.add_edge(2, 4)
293
+ paths = nx.all_simple_edge_paths(G, 0, [3, 4])
294
+ assert {tuple(p) for p in paths} == {
295
+ ((0, 1), (1, 2), (2, 3)),
296
+ ((0, 1), (1, 2), (2, 4)),
297
+ }
298
+
299
+
300
+ def test_all_simple_edge_paths_with_two_targets_cutoff():
301
+ G = nx.path_graph(4)
302
+ G.add_edge(2, 4)
303
+ paths = nx.all_simple_edge_paths(G, 0, [3, 4], cutoff=3)
304
+ assert {tuple(p) for p in paths} == {
305
+ ((0, 1), (1, 2), (2, 3)),
306
+ ((0, 1), (1, 2), (2, 4)),
307
+ }
308
+
309
+
310
+ def test_digraph_all_simple_edge_paths_with_two_targets_cutoff():
311
+ G = nx.path_graph(4, create_using=nx.DiGraph())
312
+ G.add_edge(2, 4)
313
+ paths = nx.all_simple_edge_paths(G, 0, [3, 4], cutoff=3)
314
+ assert {tuple(p) for p in paths} == {
315
+ ((0, 1), (1, 2), (2, 3)),
316
+ ((0, 1), (1, 2), (2, 4)),
317
+ }
318
+
319
+
320
+ def test_all_simple_edge_paths_with_two_targets_in_line_emits_two_paths():
321
+ G = nx.path_graph(4)
322
+ paths = nx.all_simple_edge_paths(G, 0, [2, 3])
323
+ assert {tuple(p) for p in paths} == {((0, 1), (1, 2)), ((0, 1), (1, 2), (2, 3))}
324
+
325
+
326
+ def test_all_simple_edge_paths_ignores_cycle():
327
+ G = nx.cycle_graph(3, create_using=nx.DiGraph())
328
+ G.add_edge(1, 3)
329
+ paths = nx.all_simple_edge_paths(G, 0, 3)
330
+ assert {tuple(p) for p in paths} == {((0, 1), (1, 3))}
331
+
332
+
333
+ def test_all_simple_edge_paths_with_two_targets_inside_cycle_emits_two_paths():
334
+ G = nx.cycle_graph(3, create_using=nx.DiGraph())
335
+ G.add_edge(1, 3)
336
+ paths = nx.all_simple_edge_paths(G, 0, [2, 3])
337
+ assert {tuple(p) for p in paths} == {((0, 1), (1, 2)), ((0, 1), (1, 3))}
338
+
339
+
340
+ def test_all_simple_edge_paths_source_target():
341
+ G = nx.path_graph(4)
342
+ paths = nx.all_simple_edge_paths(G, 1, 1)
343
+ assert list(paths) == [[]]
344
+
345
+
346
+ def test_all_simple_edge_paths_cutoff():
347
+ G = nx.complete_graph(4)
348
+ paths = nx.all_simple_edge_paths(G, 0, 1, cutoff=1)
349
+ assert {tuple(p) for p in paths} == {((0, 1),)}
350
+ paths = nx.all_simple_edge_paths(G, 0, 1, cutoff=2)
351
+ assert {tuple(p) for p in paths} == {((0, 1),), ((0, 2), (2, 1)), ((0, 3), (3, 1))}
352
+
353
+
354
+ def test_all_simple_edge_paths_on_non_trivial_graph():
355
+ """you may need to draw this graph to make sure it is reasonable"""
356
+ G = nx.path_graph(5, create_using=nx.DiGraph())
357
+ G.add_edges_from([(0, 5), (1, 5), (1, 3), (5, 4), (4, 2), (4, 3)])
358
+ paths = nx.all_simple_edge_paths(G, 1, [2, 3])
359
+ assert {tuple(p) for p in paths} == {
360
+ ((1, 2),),
361
+ ((1, 3), (3, 4), (4, 2)),
362
+ ((1, 5), (5, 4), (4, 2)),
363
+ ((1, 3),),
364
+ ((1, 2), (2, 3)),
365
+ ((1, 5), (5, 4), (4, 3)),
366
+ ((1, 5), (5, 4), (4, 2), (2, 3)),
367
+ }
368
+ paths = nx.all_simple_edge_paths(G, 1, [2, 3], cutoff=3)
369
+ assert {tuple(p) for p in paths} == {
370
+ ((1, 2),),
371
+ ((1, 3), (3, 4), (4, 2)),
372
+ ((1, 5), (5, 4), (4, 2)),
373
+ ((1, 3),),
374
+ ((1, 2), (2, 3)),
375
+ ((1, 5), (5, 4), (4, 3)),
376
+ }
377
+ paths = nx.all_simple_edge_paths(G, 1, [2, 3], cutoff=2)
378
+ assert {tuple(p) for p in paths} == {((1, 2),), ((1, 3),), ((1, 2), (2, 3))}
379
+
380
+
381
+ def test_all_simple_edge_paths_multigraph():
382
+ G = nx.MultiGraph([(1, 2), (1, 2)])
383
+ paths = nx.all_simple_edge_paths(G, 1, 1)
384
+ assert list(paths) == [[]]
385
+ nx.add_path(G, [3, 1, 10, 2])
386
+ paths = list(nx.all_simple_edge_paths(G, 1, 2))
387
+ assert len(paths) == 3
388
+ assert {tuple(p) for p in paths} == {
389
+ ((1, 2, 0),),
390
+ ((1, 2, 1),),
391
+ ((1, 10, 0), (10, 2, 0)),
392
+ }
393
+
394
+
395
+ def test_all_simple_edge_paths_multigraph_with_cutoff():
396
+ G = nx.MultiGraph([(1, 2), (1, 2), (1, 10), (10, 2)])
397
+ paths = list(nx.all_simple_edge_paths(G, 1, 2, cutoff=1))
398
+ assert len(paths) == 2
399
+ assert {tuple(p) for p in paths} == {((1, 2, 0),), ((1, 2, 1),)}
400
+
401
+
402
+ def test_all_simple_edge_paths_directed():
403
+ G = nx.DiGraph()
404
+ nx.add_path(G, [1, 2, 3])
405
+ nx.add_path(G, [3, 2, 1])
406
+ paths = nx.all_simple_edge_paths(G, 1, 3)
407
+ assert {tuple(p) for p in paths} == {((1, 2), (2, 3))}
408
+
409
+
410
+ def test_all_simple_edge_paths_empty():
411
+ G = nx.path_graph(4)
412
+ paths = nx.all_simple_edge_paths(G, 0, 3, cutoff=2)
413
+ assert list(paths) == []
414
+
415
+
416
+ def test_all_simple_edge_paths_corner_cases():
417
+ assert list(nx.all_simple_edge_paths(nx.empty_graph(2), 0, 0)) == [[]]
418
+ assert list(nx.all_simple_edge_paths(nx.empty_graph(2), 0, 1)) == []
419
+ assert list(nx.all_simple_edge_paths(nx.path_graph(9), 0, 8, 0)) == []
420
+
421
+
422
+ def test_all_simple_edge_paths_ignores_self_loop():
423
+ G = nx.Graph([(0, 0), (0, 1), (1, 1), (1, 2)])
424
+ assert list(nx.all_simple_edge_paths(G, 0, 2)) == [[(0, 1), (1, 2)]]
425
+
426
+
427
+ def hamiltonian_edge_path(G, source):
428
+ source = arbitrary_element(G)
429
+ neighbors = set(G[source]) - {source}
430
+ n = len(G)
431
+ for target in neighbors:
432
+ for path in nx.all_simple_edge_paths(G, source, target):
433
+ if len(path) == n - 1:
434
+ yield path
435
+
436
+
437
+ def test_hamiltonian__edge_path():
438
+ from itertools import permutations
439
+
440
+ G = nx.complete_graph(4)
441
+ paths = hamiltonian_edge_path(G, 0)
442
+ exact = [list(pairwise([0] + list(p))) for p in permutations([1, 2, 3], 3)]
443
+ assert sorted(exact) == sorted(paths)
444
+
445
+
446
+ def test_edge_cutoff_zero():
447
+ G = nx.complete_graph(4)
448
+ paths = nx.all_simple_edge_paths(G, 0, 3, cutoff=0)
449
+ assert [list(p) for p in paths] == []
450
+ paths = nx.all_simple_edge_paths(nx.MultiGraph(G), 0, 3, cutoff=0)
451
+ assert [list(p) for p in paths] == []
452
+
453
+
454
+ def test_edge_source_missing():
455
+ with pytest.raises(nx.NodeNotFound):
456
+ G = nx.Graph()
457
+ nx.add_path(G, [1, 2, 3])
458
+ list(nx.all_simple_edge_paths(nx.MultiGraph(G), 0, 3))
459
+
460
+
461
+ def test_edge_target_missing():
462
+ with pytest.raises(nx.NodeNotFound):
463
+ G = nx.Graph()
464
+ nx.add_path(G, [1, 2, 3])
465
+ list(nx.all_simple_edge_paths(nx.MultiGraph(G), 1, 4))
466
+
467
+
468
+ # Tests for shortest_simple_paths
469
+ def test_shortest_simple_paths():
470
+ G = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted")
471
+ paths = nx.shortest_simple_paths(G, 1, 12)
472
+ assert next(paths) == [1, 2, 3, 4, 8, 12]
473
+ assert next(paths) == [1, 5, 6, 7, 8, 12]
474
+ assert [len(path) for path in nx.shortest_simple_paths(G, 1, 12)] == sorted(
475
+ len(path) for path in nx.all_simple_paths(G, 1, 12)
476
+ )
477
+
478
+
479
+ def test_shortest_simple_paths_singleton_path():
480
+ G = nx.empty_graph(3)
481
+ assert list(nx.shortest_simple_paths(G, 0, 0)) == [[0]]
482
+
483
+
484
+ def test_shortest_simple_paths_directed():
485
+ G = nx.cycle_graph(7, create_using=nx.DiGraph())
486
+ paths = nx.shortest_simple_paths(G, 0, 3)
487
+ assert list(paths) == [[0, 1, 2, 3]]
488
+
489
+
490
+ def test_shortest_simple_paths_directed_with_weight_function():
491
+ def cost(u, v, x):
492
+ return 1
493
+
494
+ G = cnlti(nx.grid_2d_graph(4, 4), first_label=1, ordering="sorted")
495
+ paths = nx.shortest_simple_paths(G, 1, 12)
496
+ assert next(paths) == [1, 2, 3, 4, 8, 12]
497
+ assert next(paths) == [1, 5, 6, 7, 8, 12]
498
+ assert [
499
+ len(path) for path in nx.shortest_simple_paths(G, 1, 12, weight=cost)
500
+ ] == sorted(len(path) for path in nx.all_simple_paths(G, 1, 12))
501
+
502
+
503
+ def test_shortest_simple_paths_with_weight_function():
504
+ def cost(u, v, x):
505
+ return 1
506
+
507
+ G = nx.cycle_graph(7, create_using=nx.DiGraph())
508
+ paths = nx.shortest_simple_paths(G, 0, 3, weight=cost)
509
+ assert list(paths) == [[0, 1, 2, 3]]
510
+
511
+
512
+ def test_Greg_Bernstein():
513
+ g1 = nx.Graph()
514
+ g1.add_nodes_from(["N0", "N1", "N2", "N3", "N4"])
515
+ g1.add_edge("N4", "N1", weight=10.0, capacity=50, name="L5")
516
+ g1.add_edge("N4", "N0", weight=7.0, capacity=40, name="L4")
517
+ g1.add_edge("N0", "N1", weight=10.0, capacity=45, name="L1")
518
+ g1.add_edge("N3", "N0", weight=10.0, capacity=50, name="L0")
519
+ g1.add_edge("N2", "N3", weight=12.0, capacity=30, name="L2")
520
+ g1.add_edge("N1", "N2", weight=15.0, capacity=42, name="L3")
521
+ solution = [["N1", "N0", "N3"], ["N1", "N2", "N3"], ["N1", "N4", "N0", "N3"]]
522
+ result = list(nx.shortest_simple_paths(g1, "N1", "N3", weight="weight"))
523
+ assert result == solution
524
+
525
+
526
+ def test_weighted_shortest_simple_path():
527
+ def cost_func(path):
528
+ return sum(G.adj[u][v]["weight"] for (u, v) in zip(path, path[1:]))
529
+
530
+ G = nx.complete_graph(5)
531
+ weight = {(u, v): random.randint(1, 100) for (u, v) in G.edges()}
532
+ nx.set_edge_attributes(G, weight, "weight")
533
+ cost = 0
534
+ for path in nx.shortest_simple_paths(G, 0, 3, weight="weight"):
535
+ this_cost = cost_func(path)
536
+ assert cost <= this_cost
537
+ cost = this_cost
538
+
539
+
540
+ def test_directed_weighted_shortest_simple_path():
541
+ def cost_func(path):
542
+ return sum(G.adj[u][v]["weight"] for (u, v) in zip(path, path[1:]))
543
+
544
+ G = nx.complete_graph(5)
545
+ G = G.to_directed()
546
+ weight = {(u, v): random.randint(1, 100) for (u, v) in G.edges()}
547
+ nx.set_edge_attributes(G, weight, "weight")
548
+ cost = 0
549
+ for path in nx.shortest_simple_paths(G, 0, 3, weight="weight"):
550
+ this_cost = cost_func(path)
551
+ assert cost <= this_cost
552
+ cost = this_cost
553
+
554
+
555
+ def test_weighted_shortest_simple_path_issue2427():
556
+ G = nx.Graph()
557
+ G.add_edge("IN", "OUT", weight=2)
558
+ G.add_edge("IN", "A", weight=1)
559
+ G.add_edge("IN", "B", weight=2)
560
+ G.add_edge("B", "OUT", weight=2)
561
+ assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [
562
+ ["IN", "OUT"],
563
+ ["IN", "B", "OUT"],
564
+ ]
565
+ G = nx.Graph()
566
+ G.add_edge("IN", "OUT", weight=10)
567
+ G.add_edge("IN", "A", weight=1)
568
+ G.add_edge("IN", "B", weight=1)
569
+ G.add_edge("B", "OUT", weight=1)
570
+ assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [
571
+ ["IN", "B", "OUT"],
572
+ ["IN", "OUT"],
573
+ ]
574
+
575
+
576
+ def test_directed_weighted_shortest_simple_path_issue2427():
577
+ G = nx.DiGraph()
578
+ G.add_edge("IN", "OUT", weight=2)
579
+ G.add_edge("IN", "A", weight=1)
580
+ G.add_edge("IN", "B", weight=2)
581
+ G.add_edge("B", "OUT", weight=2)
582
+ assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [
583
+ ["IN", "OUT"],
584
+ ["IN", "B", "OUT"],
585
+ ]
586
+ G = nx.DiGraph()
587
+ G.add_edge("IN", "OUT", weight=10)
588
+ G.add_edge("IN", "A", weight=1)
589
+ G.add_edge("IN", "B", weight=1)
590
+ G.add_edge("B", "OUT", weight=1)
591
+ assert list(nx.shortest_simple_paths(G, "IN", "OUT", weight="weight")) == [
592
+ ["IN", "B", "OUT"],
593
+ ["IN", "OUT"],
594
+ ]
595
+
596
+
597
+ def test_weight_name():
598
+ G = nx.cycle_graph(7)
599
+ nx.set_edge_attributes(G, 1, "weight")
600
+ nx.set_edge_attributes(G, 1, "foo")
601
+ G.adj[1][2]["foo"] = 7
602
+ paths = list(nx.shortest_simple_paths(G, 0, 3, weight="foo"))
603
+ solution = [[0, 6, 5, 4, 3], [0, 1, 2, 3]]
604
+ assert paths == solution
605
+
606
+
607
+ def test_ssp_source_missing():
608
+ with pytest.raises(nx.NodeNotFound):
609
+ G = nx.Graph()
610
+ nx.add_path(G, [1, 2, 3])
611
+ list(nx.shortest_simple_paths(G, 0, 3))
612
+
613
+
614
+ def test_ssp_target_missing():
615
+ with pytest.raises(nx.NodeNotFound):
616
+ G = nx.Graph()
617
+ nx.add_path(G, [1, 2, 3])
618
+ list(nx.shortest_simple_paths(G, 1, 4))
619
+
620
+
621
+ def test_ssp_multigraph():
622
+ with pytest.raises(nx.NetworkXNotImplemented):
623
+ G = nx.MultiGraph()
624
+ nx.add_path(G, [1, 2, 3])
625
+ list(nx.shortest_simple_paths(G, 1, 4))
626
+
627
+
628
+ def test_ssp_source_missing2():
629
+ with pytest.raises(nx.NetworkXNoPath):
630
+ G = nx.Graph()
631
+ nx.add_path(G, [0, 1, 2])
632
+ nx.add_path(G, [3, 4, 5])
633
+ list(nx.shortest_simple_paths(G, 0, 3))
634
+
635
+
636
+ def test_bidirectional_shortest_path_restricted_cycle():
637
+ cycle = nx.cycle_graph(7)
638
+ length, path = _bidirectional_shortest_path(cycle, 0, 3)
639
+ assert path == [0, 1, 2, 3]
640
+ length, path = _bidirectional_shortest_path(cycle, 0, 3, ignore_nodes=[1])
641
+ assert path == [0, 6, 5, 4, 3]
642
+
643
+
644
+ def test_bidirectional_shortest_path_restricted_wheel():
645
+ wheel = nx.wheel_graph(6)
646
+ length, path = _bidirectional_shortest_path(wheel, 1, 3)
647
+ assert path in [[1, 0, 3], [1, 2, 3]]
648
+ length, path = _bidirectional_shortest_path(wheel, 1, 3, ignore_nodes=[0])
649
+ assert path == [1, 2, 3]
650
+ length, path = _bidirectional_shortest_path(wheel, 1, 3, ignore_nodes=[0, 2])
651
+ assert path == [1, 5, 4, 3]
652
+ length, path = _bidirectional_shortest_path(
653
+ wheel, 1, 3, ignore_edges=[(1, 0), (5, 0), (2, 3)]
654
+ )
655
+ assert path in [[1, 2, 0, 3], [1, 5, 4, 3]]
656
+
657
+
658
+ def test_bidirectional_shortest_path_restricted_directed_cycle():
659
+ directed_cycle = nx.cycle_graph(7, create_using=nx.DiGraph())
660
+ length, path = _bidirectional_shortest_path(directed_cycle, 0, 3)
661
+ assert path == [0, 1, 2, 3]
662
+ pytest.raises(
663
+ nx.NetworkXNoPath,
664
+ _bidirectional_shortest_path,
665
+ directed_cycle,
666
+ 0,
667
+ 3,
668
+ ignore_nodes=[1],
669
+ )
670
+ length, path = _bidirectional_shortest_path(
671
+ directed_cycle, 0, 3, ignore_edges=[(2, 1)]
672
+ )
673
+ assert path == [0, 1, 2, 3]
674
+ pytest.raises(
675
+ nx.NetworkXNoPath,
676
+ _bidirectional_shortest_path,
677
+ directed_cycle,
678
+ 0,
679
+ 3,
680
+ ignore_edges=[(1, 2)],
681
+ )
682
+
683
+
684
+ def test_bidirectional_shortest_path_ignore():
685
+ G = nx.Graph()
686
+ nx.add_path(G, [1, 2])
687
+ nx.add_path(G, [1, 3])
688
+ nx.add_path(G, [1, 4])
689
+ pytest.raises(
690
+ nx.NetworkXNoPath, _bidirectional_shortest_path, G, 1, 2, ignore_nodes=[1]
691
+ )
692
+ pytest.raises(
693
+ nx.NetworkXNoPath, _bidirectional_shortest_path, G, 1, 2, ignore_nodes=[2]
694
+ )
695
+ G = nx.Graph()
696
+ nx.add_path(G, [1, 3])
697
+ nx.add_path(G, [1, 4])
698
+ nx.add_path(G, [3, 2])
699
+ pytest.raises(
700
+ nx.NetworkXNoPath, _bidirectional_shortest_path, G, 1, 2, ignore_nodes=[1, 2]
701
+ )
702
+
703
+
704
+ def validate_path(G, s, t, soln_len, path):
705
+ assert path[0] == s
706
+ assert path[-1] == t
707
+ assert soln_len == sum(
708
+ G[u][v].get("weight", 1) for u, v in zip(path[:-1], path[1:])
709
+ )
710
+
711
+
712
+ def validate_length_path(G, s, t, soln_len, length, path):
713
+ assert soln_len == length
714
+ validate_path(G, s, t, length, path)
715
+
716
+
717
+ def test_bidirectional_dijkstra_restricted():
718
+ XG = nx.DiGraph()
719
+ XG.add_weighted_edges_from(
720
+ [
721
+ ("s", "u", 10),
722
+ ("s", "x", 5),
723
+ ("u", "v", 1),
724
+ ("u", "x", 2),
725
+ ("v", "y", 1),
726
+ ("x", "u", 3),
727
+ ("x", "v", 5),
728
+ ("x", "y", 2),
729
+ ("y", "s", 7),
730
+ ("y", "v", 6),
731
+ ]
732
+ )
733
+
734
+ XG3 = nx.Graph()
735
+ XG3.add_weighted_edges_from(
736
+ [[0, 1, 2], [1, 2, 12], [2, 3, 1], [3, 4, 5], [4, 5, 1], [5, 0, 10]]
737
+ )
738
+ validate_length_path(XG, "s", "v", 9, *_bidirectional_dijkstra(XG, "s", "v"))
739
+ validate_length_path(
740
+ XG, "s", "v", 10, *_bidirectional_dijkstra(XG, "s", "v", ignore_nodes=["u"])
741
+ )
742
+ validate_length_path(
743
+ XG,
744
+ "s",
745
+ "v",
746
+ 11,
747
+ *_bidirectional_dijkstra(XG, "s", "v", ignore_edges=[("s", "x")]),
748
+ )
749
+ pytest.raises(
750
+ nx.NetworkXNoPath,
751
+ _bidirectional_dijkstra,
752
+ XG,
753
+ "s",
754
+ "v",
755
+ ignore_nodes=["u"],
756
+ ignore_edges=[("s", "x")],
757
+ )
758
+ validate_length_path(XG3, 0, 3, 15, *_bidirectional_dijkstra(XG3, 0, 3))
759
+ validate_length_path(
760
+ XG3, 0, 3, 16, *_bidirectional_dijkstra(XG3, 0, 3, ignore_nodes=[1])
761
+ )
762
+ validate_length_path(
763
+ XG3, 0, 3, 16, *_bidirectional_dijkstra(XG3, 0, 3, ignore_edges=[(2, 3)])
764
+ )
765
+ pytest.raises(
766
+ nx.NetworkXNoPath,
767
+ _bidirectional_dijkstra,
768
+ XG3,
769
+ 0,
770
+ 3,
771
+ ignore_nodes=[1],
772
+ ignore_edges=[(5, 4)],
773
+ )
774
+
775
+
776
+ def test_bidirectional_dijkstra_no_path():
777
+ with pytest.raises(nx.NetworkXNoPath):
778
+ G = nx.Graph()
779
+ nx.add_path(G, [1, 2, 3])
780
+ nx.add_path(G, [4, 5, 6])
781
+ _bidirectional_dijkstra(G, 1, 6)
782
+
783
+
784
+ def test_bidirectional_dijkstra_ignore():
785
+ G = nx.Graph()
786
+ nx.add_path(G, [1, 2, 10])
787
+ nx.add_path(G, [1, 3, 10])
788
+ pytest.raises(nx.NetworkXNoPath, _bidirectional_dijkstra, G, 1, 2, ignore_nodes=[1])
789
+ pytest.raises(nx.NetworkXNoPath, _bidirectional_dijkstra, G, 1, 2, ignore_nodes=[2])
790
+ pytest.raises(
791
+ nx.NetworkXNoPath, _bidirectional_dijkstra, G, 1, 2, ignore_nodes=[1, 2]
792
+ )
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_threshold.py ADDED
@@ -0,0 +1,269 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """
2
+ Threshold Graphs
3
+ ================
4
+ """
5
+
6
+ import pytest
7
+
8
+ import networkx as nx
9
+ import networkx.algorithms.threshold as nxt
10
+ from networkx.algorithms.isomorphism.isomorph import graph_could_be_isomorphic
11
+
12
+ cnlti = nx.convert_node_labels_to_integers
13
+
14
+
15
+ class TestGeneratorThreshold:
16
+ def test_threshold_sequence_graph_test(self):
17
+ G = nx.star_graph(10)
18
+ assert nxt.is_threshold_graph(G)
19
+ assert nxt.is_threshold_sequence([d for n, d in G.degree()])
20
+
21
+ G = nx.complete_graph(10)
22
+ assert nxt.is_threshold_graph(G)
23
+ assert nxt.is_threshold_sequence([d for n, d in G.degree()])
24
+
25
+ deg = [3, 2, 2, 1, 1, 1]
26
+ assert not nxt.is_threshold_sequence(deg)
27
+
28
+ deg = [3, 2, 2, 1]
29
+ assert nxt.is_threshold_sequence(deg)
30
+
31
+ G = nx.generators.havel_hakimi_graph(deg)
32
+ assert nxt.is_threshold_graph(G)
33
+
34
+ def test_creation_sequences(self):
35
+ deg = [3, 2, 2, 1]
36
+ G = nx.generators.havel_hakimi_graph(deg)
37
+
38
+ with pytest.raises(ValueError):
39
+ nxt.creation_sequence(deg, with_labels=True, compact=True)
40
+
41
+ cs0 = nxt.creation_sequence(deg)
42
+ H0 = nxt.threshold_graph(cs0)
43
+ assert "".join(cs0) == "ddid"
44
+
45
+ cs1 = nxt.creation_sequence(deg, with_labels=True)
46
+ H1 = nxt.threshold_graph(cs1)
47
+ assert cs1 == [(1, "d"), (2, "d"), (3, "i"), (0, "d")]
48
+
49
+ cs2 = nxt.creation_sequence(deg, compact=True)
50
+ H2 = nxt.threshold_graph(cs2)
51
+ assert cs2 == [2, 1, 1]
52
+ assert "".join(nxt.uncompact(cs2)) == "ddid"
53
+ assert graph_could_be_isomorphic(H0, G)
54
+ assert graph_could_be_isomorphic(H0, H1)
55
+ assert graph_could_be_isomorphic(H0, H2)
56
+
57
+ def test_make_compact(self):
58
+ assert nxt.make_compact(["d", "d", "d", "i", "d", "d"]) == [3, 1, 2]
59
+ assert nxt.make_compact([3, 1, 2]) == [3, 1, 2]
60
+ assert pytest.raises(TypeError, nxt.make_compact, [3.0, 1.0, 2.0])
61
+
62
+ def test_uncompact(self):
63
+ assert nxt.uncompact([3, 1, 2]) == ["d", "d", "d", "i", "d", "d"]
64
+ assert nxt.uncompact(["d", "d", "i", "d"]) == ["d", "d", "i", "d"]
65
+ assert nxt.uncompact(
66
+ nxt.uncompact([(1, "d"), (2, "d"), (3, "i"), (0, "d")])
67
+ ) == nxt.uncompact([(1, "d"), (2, "d"), (3, "i"), (0, "d")])
68
+ assert pytest.raises(TypeError, nxt.uncompact, [3.0, 1.0, 2.0])
69
+
70
+ def test_creation_sequence_to_weights(self):
71
+ assert nxt.creation_sequence_to_weights([3, 1, 2]) == [
72
+ 0.5,
73
+ 0.5,
74
+ 0.5,
75
+ 0.25,
76
+ 0.75,
77
+ 0.75,
78
+ ]
79
+ assert pytest.raises(
80
+ TypeError, nxt.creation_sequence_to_weights, [3.0, 1.0, 2.0]
81
+ )
82
+
83
+ def test_weights_to_creation_sequence(self):
84
+ deg = [3, 2, 2, 1]
85
+ with pytest.raises(ValueError):
86
+ nxt.weights_to_creation_sequence(deg, with_labels=True, compact=True)
87
+ assert nxt.weights_to_creation_sequence(deg, with_labels=True) == [
88
+ (3, "d"),
89
+ (1, "d"),
90
+ (2, "d"),
91
+ (0, "d"),
92
+ ]
93
+ assert nxt.weights_to_creation_sequence(deg, compact=True) == [4]
94
+
95
+ def test_find_alternating_4_cycle(self):
96
+ G = nx.Graph()
97
+ G.add_edge(1, 2)
98
+ assert not nxt.find_alternating_4_cycle(G)
99
+
100
+ def test_shortest_path(self):
101
+ deg = [3, 2, 2, 1]
102
+ G = nx.generators.havel_hakimi_graph(deg)
103
+ cs1 = nxt.creation_sequence(deg, with_labels=True)
104
+ for n, m in [(3, 0), (0, 3), (0, 2), (0, 1), (1, 3), (3, 1), (1, 2), (2, 3)]:
105
+ assert nxt.shortest_path(cs1, n, m) == nx.shortest_path(G, n, m)
106
+
107
+ spl = nxt.shortest_path_length(cs1, 3)
108
+ spl2 = nxt.shortest_path_length([t for v, t in cs1], 2)
109
+ assert spl == spl2
110
+
111
+ spld = {}
112
+ for j, pl in enumerate(spl):
113
+ n = cs1[j][0]
114
+ spld[n] = pl
115
+ assert spld == nx.single_source_shortest_path_length(G, 3)
116
+
117
+ assert nxt.shortest_path(["d", "d", "d", "i", "d", "d"], 1, 2) == [1, 2]
118
+ assert nxt.shortest_path([3, 1, 2], 1, 2) == [1, 2]
119
+ assert pytest.raises(TypeError, nxt.shortest_path, [3.0, 1.0, 2.0], 1, 2)
120
+ assert pytest.raises(ValueError, nxt.shortest_path, [3, 1, 2], "a", 2)
121
+ assert pytest.raises(ValueError, nxt.shortest_path, [3, 1, 2], 1, "b")
122
+ assert nxt.shortest_path([3, 1, 2], 1, 1) == [1]
123
+
124
+ def test_shortest_path_length(self):
125
+ assert nxt.shortest_path_length([3, 1, 2], 1) == [1, 0, 1, 2, 1, 1]
126
+ assert nxt.shortest_path_length(["d", "d", "d", "i", "d", "d"], 1) == [
127
+ 1,
128
+ 0,
129
+ 1,
130
+ 2,
131
+ 1,
132
+ 1,
133
+ ]
134
+ assert nxt.shortest_path_length(("d", "d", "d", "i", "d", "d"), 1) == [
135
+ 1,
136
+ 0,
137
+ 1,
138
+ 2,
139
+ 1,
140
+ 1,
141
+ ]
142
+ assert pytest.raises(TypeError, nxt.shortest_path, [3.0, 1.0, 2.0], 1)
143
+
144
+ def test_random_threshold_sequence(self):
145
+ assert len(nxt.random_threshold_sequence(10, 0.5)) == 10
146
+ assert nxt.random_threshold_sequence(10, 0.5, seed=42) == [
147
+ "d",
148
+ "i",
149
+ "d",
150
+ "d",
151
+ "d",
152
+ "i",
153
+ "i",
154
+ "i",
155
+ "d",
156
+ "d",
157
+ ]
158
+ assert pytest.raises(ValueError, nxt.random_threshold_sequence, 10, 1.5)
159
+
160
+ def test_right_d_threshold_sequence(self):
161
+ assert nxt.right_d_threshold_sequence(3, 2) == ["d", "i", "d"]
162
+ assert pytest.raises(ValueError, nxt.right_d_threshold_sequence, 2, 3)
163
+
164
+ def test_left_d_threshold_sequence(self):
165
+ assert nxt.left_d_threshold_sequence(3, 2) == ["d", "i", "d"]
166
+ assert pytest.raises(ValueError, nxt.left_d_threshold_sequence, 2, 3)
167
+
168
+ def test_weights_thresholds(self):
169
+ wseq = [3, 4, 3, 3, 5, 6, 5, 4, 5, 6]
170
+ cs = nxt.weights_to_creation_sequence(wseq, threshold=10)
171
+ wseq = nxt.creation_sequence_to_weights(cs)
172
+ cs2 = nxt.weights_to_creation_sequence(wseq)
173
+ assert cs == cs2
174
+
175
+ wseq = nxt.creation_sequence_to_weights(nxt.uncompact([3, 1, 2, 3, 3, 2, 3]))
176
+ assert wseq == [
177
+ s * 0.125 for s in [4, 4, 4, 3, 5, 5, 2, 2, 2, 6, 6, 6, 1, 1, 7, 7, 7]
178
+ ]
179
+
180
+ wseq = nxt.creation_sequence_to_weights([3, 1, 2, 3, 3, 2, 3])
181
+ assert wseq == [
182
+ s * 0.125 for s in [4, 4, 4, 3, 5, 5, 2, 2, 2, 6, 6, 6, 1, 1, 7, 7, 7]
183
+ ]
184
+
185
+ wseq = nxt.creation_sequence_to_weights(list(enumerate("ddidiiidididi")))
186
+ assert wseq == [s * 0.1 for s in [5, 5, 4, 6, 3, 3, 3, 7, 2, 8, 1, 9, 0]]
187
+
188
+ wseq = nxt.creation_sequence_to_weights("ddidiiidididi")
189
+ assert wseq == [s * 0.1 for s in [5, 5, 4, 6, 3, 3, 3, 7, 2, 8, 1, 9, 0]]
190
+
191
+ wseq = nxt.creation_sequence_to_weights("ddidiiidididid")
192
+ ws = [s / 12 for s in [6, 6, 5, 7, 4, 4, 4, 8, 3, 9, 2, 10, 1, 11]]
193
+ assert sum(abs(c - d) for c, d in zip(wseq, ws)) < 1e-14
194
+
195
+ def test_finding_routines(self):
196
+ G = nx.Graph({1: [2], 2: [3], 3: [4], 4: [5], 5: [6]})
197
+ G.add_edge(2, 4)
198
+ G.add_edge(2, 5)
199
+ G.add_edge(2, 7)
200
+ G.add_edge(3, 6)
201
+ G.add_edge(4, 6)
202
+
203
+ # Alternating 4 cycle
204
+ assert nxt.find_alternating_4_cycle(G) == [1, 2, 3, 6]
205
+
206
+ # Threshold graph
207
+ TG = nxt.find_threshold_graph(G)
208
+ assert nxt.is_threshold_graph(TG)
209
+ assert sorted(TG.nodes()) == [1, 2, 3, 4, 5, 7]
210
+
211
+ cs = nxt.creation_sequence(dict(TG.degree()), with_labels=True)
212
+ assert nxt.find_creation_sequence(G) == cs
213
+
214
+ def test_fast_versions_properties_threshold_graphs(self):
215
+ cs = "ddiiddid"
216
+ G = nxt.threshold_graph(cs)
217
+ assert nxt.density("ddiiddid") == nx.density(G)
218
+ assert sorted(nxt.degree_sequence(cs)) == sorted(d for n, d in G.degree())
219
+
220
+ ts = nxt.triangle_sequence(cs)
221
+ assert ts == list(nx.triangles(G).values())
222
+ assert sum(ts) // 3 == nxt.triangles(cs)
223
+
224
+ c1 = nxt.cluster_sequence(cs)
225
+ c2 = list(nx.clustering(G).values())
226
+ assert sum(abs(c - d) for c, d in zip(c1, c2)) == pytest.approx(0, abs=1e-7)
227
+
228
+ b1 = nx.betweenness_centrality(G).values()
229
+ b2 = nxt.betweenness_sequence(cs)
230
+ assert sum(abs(c - d) for c, d in zip(b1, b2)) < 1e-7
231
+
232
+ assert nxt.eigenvalues(cs) == [0, 1, 3, 3, 5, 7, 7, 8]
233
+
234
+ # Degree Correlation
235
+ assert abs(nxt.degree_correlation(cs) + 0.593038821954) < 1e-12
236
+ assert nxt.degree_correlation("diiiddi") == -0.8
237
+ assert nxt.degree_correlation("did") == -1.0
238
+ assert nxt.degree_correlation("ddd") == 1.0
239
+ assert nxt.eigenvalues("dddiii") == [0, 0, 0, 0, 3, 3]
240
+ assert nxt.eigenvalues("dddiiid") == [0, 1, 1, 1, 4, 4, 7]
241
+
242
+ def test_tg_creation_routines(self):
243
+ s = nxt.left_d_threshold_sequence(5, 7)
244
+ s = nxt.right_d_threshold_sequence(5, 7)
245
+ s1 = nxt.swap_d(s, 1.0, 1.0)
246
+ s1 = nxt.swap_d(s, 1.0, 1.0, seed=1)
247
+
248
+ def test_eigenvectors(self):
249
+ np = pytest.importorskip("numpy")
250
+ eigenval = np.linalg.eigvals
251
+ pytest.importorskip("scipy")
252
+
253
+ cs = "ddiiddid"
254
+ G = nxt.threshold_graph(cs)
255
+ (tgeval, tgevec) = nxt.eigenvectors(cs)
256
+ np.testing.assert_allclose([np.dot(lv, lv) for lv in tgevec], 1.0, rtol=1e-9)
257
+ lapl = nx.laplacian_matrix(G)
258
+
259
+ def test_create_using(self):
260
+ cs = "ddiiddid"
261
+ G = nxt.threshold_graph(cs)
262
+ assert pytest.raises(
263
+ nx.exception.NetworkXError,
264
+ nxt.threshold_graph,
265
+ cs,
266
+ create_using=nx.DiGraph(),
267
+ )
268
+ MG = nxt.threshold_graph(cs, create_using=nx.MultiGraph())
269
+ assert sorted(MG.edges()) == sorted(G.edges())
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_time_dependent.py ADDED
@@ -0,0 +1,431 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Unit testing for time dependent algorithms."""
2
+
3
+ from datetime import datetime, timedelta
4
+
5
+ import pytest
6
+
7
+ import networkx as nx
8
+
9
+ _delta = timedelta(days=5 * 365)
10
+
11
+
12
+ class TestCdIndex:
13
+ """Unit testing for the cd index function."""
14
+
15
+ def test_common_graph(self):
16
+ G = nx.DiGraph()
17
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
18
+ G.add_edge(4, 2)
19
+ G.add_edge(4, 0)
20
+ G.add_edge(4, 1)
21
+ G.add_edge(4, 3)
22
+ G.add_edge(5, 2)
23
+ G.add_edge(6, 2)
24
+ G.add_edge(6, 4)
25
+ G.add_edge(7, 4)
26
+ G.add_edge(8, 4)
27
+ G.add_edge(9, 4)
28
+ G.add_edge(9, 1)
29
+ G.add_edge(9, 3)
30
+ G.add_edge(10, 4)
31
+
32
+ node_attrs = {
33
+ 0: {"time": datetime(1992, 1, 1)},
34
+ 1: {"time": datetime(1992, 1, 1)},
35
+ 2: {"time": datetime(1993, 1, 1)},
36
+ 3: {"time": datetime(1993, 1, 1)},
37
+ 4: {"time": datetime(1995, 1, 1)},
38
+ 5: {"time": datetime(1997, 1, 1)},
39
+ 6: {"time": datetime(1998, 1, 1)},
40
+ 7: {"time": datetime(1999, 1, 1)},
41
+ 8: {"time": datetime(1999, 1, 1)},
42
+ 9: {"time": datetime(1998, 1, 1)},
43
+ 10: {"time": datetime(1997, 4, 1)},
44
+ }
45
+
46
+ nx.set_node_attributes(G, node_attrs)
47
+
48
+ assert nx.cd_index(G, 4, time_delta=_delta) == 0.17
49
+
50
+ def test_common_graph_with_given_attributes(self):
51
+ G = nx.DiGraph()
52
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
53
+ G.add_edge(4, 2)
54
+ G.add_edge(4, 0)
55
+ G.add_edge(4, 1)
56
+ G.add_edge(4, 3)
57
+ G.add_edge(5, 2)
58
+ G.add_edge(6, 2)
59
+ G.add_edge(6, 4)
60
+ G.add_edge(7, 4)
61
+ G.add_edge(8, 4)
62
+ G.add_edge(9, 4)
63
+ G.add_edge(9, 1)
64
+ G.add_edge(9, 3)
65
+ G.add_edge(10, 4)
66
+
67
+ node_attrs = {
68
+ 0: {"date": datetime(1992, 1, 1)},
69
+ 1: {"date": datetime(1992, 1, 1)},
70
+ 2: {"date": datetime(1993, 1, 1)},
71
+ 3: {"date": datetime(1993, 1, 1)},
72
+ 4: {"date": datetime(1995, 1, 1)},
73
+ 5: {"date": datetime(1997, 1, 1)},
74
+ 6: {"date": datetime(1998, 1, 1)},
75
+ 7: {"date": datetime(1999, 1, 1)},
76
+ 8: {"date": datetime(1999, 1, 1)},
77
+ 9: {"date": datetime(1998, 1, 1)},
78
+ 10: {"date": datetime(1997, 4, 1)},
79
+ }
80
+
81
+ nx.set_node_attributes(G, node_attrs)
82
+
83
+ assert nx.cd_index(G, 4, time_delta=_delta, time="date") == 0.17
84
+
85
+ def test_common_graph_with_int_attributes(self):
86
+ G = nx.DiGraph()
87
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
88
+ G.add_edge(4, 2)
89
+ G.add_edge(4, 0)
90
+ G.add_edge(4, 1)
91
+ G.add_edge(4, 3)
92
+ G.add_edge(5, 2)
93
+ G.add_edge(6, 2)
94
+ G.add_edge(6, 4)
95
+ G.add_edge(7, 4)
96
+ G.add_edge(8, 4)
97
+ G.add_edge(9, 4)
98
+ G.add_edge(9, 1)
99
+ G.add_edge(9, 3)
100
+ G.add_edge(10, 4)
101
+
102
+ node_attrs = {
103
+ 0: {"time": 20},
104
+ 1: {"time": 20},
105
+ 2: {"time": 30},
106
+ 3: {"time": 30},
107
+ 4: {"time": 50},
108
+ 5: {"time": 70},
109
+ 6: {"time": 80},
110
+ 7: {"time": 90},
111
+ 8: {"time": 90},
112
+ 9: {"time": 80},
113
+ 10: {"time": 74},
114
+ }
115
+
116
+ nx.set_node_attributes(G, node_attrs)
117
+
118
+ assert nx.cd_index(G, 4, time_delta=50) == 0.17
119
+
120
+ def test_common_graph_with_float_attributes(self):
121
+ G = nx.DiGraph()
122
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
123
+ G.add_edge(4, 2)
124
+ G.add_edge(4, 0)
125
+ G.add_edge(4, 1)
126
+ G.add_edge(4, 3)
127
+ G.add_edge(5, 2)
128
+ G.add_edge(6, 2)
129
+ G.add_edge(6, 4)
130
+ G.add_edge(7, 4)
131
+ G.add_edge(8, 4)
132
+ G.add_edge(9, 4)
133
+ G.add_edge(9, 1)
134
+ G.add_edge(9, 3)
135
+ G.add_edge(10, 4)
136
+
137
+ node_attrs = {
138
+ 0: {"time": 20.2},
139
+ 1: {"time": 20.2},
140
+ 2: {"time": 30.7},
141
+ 3: {"time": 30.7},
142
+ 4: {"time": 50.9},
143
+ 5: {"time": 70.1},
144
+ 6: {"time": 80.6},
145
+ 7: {"time": 90.7},
146
+ 8: {"time": 90.7},
147
+ 9: {"time": 80.6},
148
+ 10: {"time": 74.2},
149
+ }
150
+
151
+ nx.set_node_attributes(G, node_attrs)
152
+
153
+ assert nx.cd_index(G, 4, time_delta=50) == 0.17
154
+
155
+ def test_common_graph_with_weights(self):
156
+ G = nx.DiGraph()
157
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
158
+ G.add_edge(4, 2)
159
+ G.add_edge(4, 0)
160
+ G.add_edge(4, 1)
161
+ G.add_edge(4, 3)
162
+ G.add_edge(5, 2)
163
+ G.add_edge(6, 2)
164
+ G.add_edge(6, 4)
165
+ G.add_edge(7, 4)
166
+ G.add_edge(8, 4)
167
+ G.add_edge(9, 4)
168
+ G.add_edge(9, 1)
169
+ G.add_edge(9, 3)
170
+ G.add_edge(10, 4)
171
+
172
+ node_attrs = {
173
+ 0: {"time": datetime(1992, 1, 1)},
174
+ 1: {"time": datetime(1992, 1, 1)},
175
+ 2: {"time": datetime(1993, 1, 1)},
176
+ 3: {"time": datetime(1993, 1, 1)},
177
+ 4: {"time": datetime(1995, 1, 1)},
178
+ 5: {"time": datetime(1997, 1, 1)},
179
+ 6: {"time": datetime(1998, 1, 1), "weight": 5},
180
+ 7: {"time": datetime(1999, 1, 1), "weight": 2},
181
+ 8: {"time": datetime(1999, 1, 1), "weight": 6},
182
+ 9: {"time": datetime(1998, 1, 1), "weight": 3},
183
+ 10: {"time": datetime(1997, 4, 1), "weight": 10},
184
+ }
185
+
186
+ nx.set_node_attributes(G, node_attrs)
187
+ assert nx.cd_index(G, 4, time_delta=_delta, weight="weight") == 0.04
188
+
189
+ def test_node_with_no_predecessors(self):
190
+ G = nx.DiGraph()
191
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
192
+ G.add_edge(4, 2)
193
+ G.add_edge(4, 0)
194
+ G.add_edge(4, 3)
195
+ G.add_edge(5, 2)
196
+ G.add_edge(6, 2)
197
+ G.add_edge(6, 4)
198
+ G.add_edge(7, 4)
199
+ G.add_edge(8, 4)
200
+ G.add_edge(9, 4)
201
+ G.add_edge(9, 1)
202
+ G.add_edge(9, 3)
203
+ G.add_edge(10, 4)
204
+
205
+ node_attrs = {
206
+ 0: {"time": datetime(1992, 1, 1)},
207
+ 1: {"time": datetime(1992, 1, 1)},
208
+ 2: {"time": datetime(1993, 1, 1)},
209
+ 3: {"time": datetime(1993, 1, 1)},
210
+ 4: {"time": datetime(1995, 1, 1)},
211
+ 5: {"time": datetime(2005, 1, 1)},
212
+ 6: {"time": datetime(2010, 1, 1)},
213
+ 7: {"time": datetime(2001, 1, 1)},
214
+ 8: {"time": datetime(2020, 1, 1)},
215
+ 9: {"time": datetime(2017, 1, 1)},
216
+ 10: {"time": datetime(2004, 4, 1)},
217
+ }
218
+
219
+ nx.set_node_attributes(G, node_attrs)
220
+ assert nx.cd_index(G, 4, time_delta=_delta) == 0.0
221
+
222
+ def test_node_with_no_successors(self):
223
+ G = nx.DiGraph()
224
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
225
+ G.add_edge(8, 2)
226
+ G.add_edge(6, 0)
227
+ G.add_edge(6, 3)
228
+ G.add_edge(5, 2)
229
+ G.add_edge(6, 2)
230
+ G.add_edge(6, 4)
231
+ G.add_edge(7, 4)
232
+ G.add_edge(8, 4)
233
+ G.add_edge(9, 4)
234
+ G.add_edge(9, 1)
235
+ G.add_edge(9, 3)
236
+ G.add_edge(10, 4)
237
+
238
+ node_attrs = {
239
+ 0: {"time": datetime(1992, 1, 1)},
240
+ 1: {"time": datetime(1992, 1, 1)},
241
+ 2: {"time": datetime(1993, 1, 1)},
242
+ 3: {"time": datetime(1993, 1, 1)},
243
+ 4: {"time": datetime(1995, 1, 1)},
244
+ 5: {"time": datetime(1997, 1, 1)},
245
+ 6: {"time": datetime(1998, 1, 1)},
246
+ 7: {"time": datetime(1999, 1, 1)},
247
+ 8: {"time": datetime(1999, 1, 1)},
248
+ 9: {"time": datetime(1998, 1, 1)},
249
+ 10: {"time": datetime(1997, 4, 1)},
250
+ }
251
+
252
+ nx.set_node_attributes(G, node_attrs)
253
+ assert nx.cd_index(G, 4, time_delta=_delta) == 1.0
254
+
255
+ def test_n_equals_zero(self):
256
+ G = nx.DiGraph()
257
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
258
+ G.add_edge(4, 2)
259
+ G.add_edge(4, 0)
260
+ G.add_edge(4, 3)
261
+ G.add_edge(6, 4)
262
+ G.add_edge(7, 4)
263
+ G.add_edge(8, 4)
264
+ G.add_edge(9, 4)
265
+ G.add_edge(9, 1)
266
+ G.add_edge(10, 4)
267
+
268
+ node_attrs = {
269
+ 0: {"time": datetime(1992, 1, 1)},
270
+ 1: {"time": datetime(1992, 1, 1)},
271
+ 2: {"time": datetime(1993, 1, 1)},
272
+ 3: {"time": datetime(1993, 1, 1)},
273
+ 4: {"time": datetime(1995, 1, 1)},
274
+ 5: {"time": datetime(2005, 1, 1)},
275
+ 6: {"time": datetime(2010, 1, 1)},
276
+ 7: {"time": datetime(2001, 1, 1)},
277
+ 8: {"time": datetime(2020, 1, 1)},
278
+ 9: {"time": datetime(2017, 1, 1)},
279
+ 10: {"time": datetime(2004, 4, 1)},
280
+ }
281
+
282
+ nx.set_node_attributes(G, node_attrs)
283
+
284
+ with pytest.raises(
285
+ nx.NetworkXError, match="The cd index cannot be defined."
286
+ ) as ve:
287
+ nx.cd_index(G, 4, time_delta=_delta)
288
+
289
+ def test_time_timedelta_compatibility(self):
290
+ G = nx.DiGraph()
291
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
292
+ G.add_edge(4, 2)
293
+ G.add_edge(4, 0)
294
+ G.add_edge(4, 3)
295
+ G.add_edge(6, 4)
296
+ G.add_edge(7, 4)
297
+ G.add_edge(8, 4)
298
+ G.add_edge(9, 4)
299
+ G.add_edge(9, 1)
300
+ G.add_edge(10, 4)
301
+
302
+ node_attrs = {
303
+ 0: {"time": 20.2},
304
+ 1: {"time": 20.2},
305
+ 2: {"time": 30.7},
306
+ 3: {"time": 30.7},
307
+ 4: {"time": 50.9},
308
+ 5: {"time": 70.1},
309
+ 6: {"time": 80.6},
310
+ 7: {"time": 90.7},
311
+ 8: {"time": 90.7},
312
+ 9: {"time": 80.6},
313
+ 10: {"time": 74.2},
314
+ }
315
+
316
+ nx.set_node_attributes(G, node_attrs)
317
+
318
+ with pytest.raises(
319
+ nx.NetworkXError,
320
+ match="Addition and comparison are not supported between",
321
+ ) as ve:
322
+ nx.cd_index(G, 4, time_delta=_delta)
323
+
324
+ def test_node_with_no_time(self):
325
+ G = nx.DiGraph()
326
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
327
+ G.add_edge(8, 2)
328
+ G.add_edge(6, 0)
329
+ G.add_edge(6, 3)
330
+ G.add_edge(5, 2)
331
+ G.add_edge(6, 2)
332
+ G.add_edge(6, 4)
333
+ G.add_edge(7, 4)
334
+ G.add_edge(8, 4)
335
+ G.add_edge(9, 4)
336
+ G.add_edge(9, 1)
337
+ G.add_edge(9, 3)
338
+ G.add_edge(10, 4)
339
+
340
+ node_attrs = {
341
+ 0: {"time": datetime(1992, 1, 1)},
342
+ 1: {"time": datetime(1992, 1, 1)},
343
+ 2: {"time": datetime(1993, 1, 1)},
344
+ 3: {"time": datetime(1993, 1, 1)},
345
+ 4: {"time": datetime(1995, 1, 1)},
346
+ 6: {"time": datetime(1998, 1, 1)},
347
+ 7: {"time": datetime(1999, 1, 1)},
348
+ 8: {"time": datetime(1999, 1, 1)},
349
+ 9: {"time": datetime(1998, 1, 1)},
350
+ 10: {"time": datetime(1997, 4, 1)},
351
+ }
352
+
353
+ nx.set_node_attributes(G, node_attrs)
354
+
355
+ with pytest.raises(
356
+ nx.NetworkXError, match="Not all nodes have a 'time' attribute."
357
+ ) as ve:
358
+ nx.cd_index(G, 4, time_delta=_delta)
359
+
360
+ def test_maximally_consolidating(self):
361
+ G = nx.DiGraph()
362
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11])
363
+ G.add_edge(5, 1)
364
+ G.add_edge(5, 2)
365
+ G.add_edge(5, 3)
366
+ G.add_edge(5, 4)
367
+ G.add_edge(6, 1)
368
+ G.add_edge(6, 5)
369
+ G.add_edge(7, 1)
370
+ G.add_edge(7, 5)
371
+ G.add_edge(8, 2)
372
+ G.add_edge(8, 5)
373
+ G.add_edge(9, 5)
374
+ G.add_edge(9, 3)
375
+ G.add_edge(10, 5)
376
+ G.add_edge(10, 3)
377
+ G.add_edge(10, 4)
378
+ G.add_edge(11, 5)
379
+ G.add_edge(11, 4)
380
+
381
+ node_attrs = {
382
+ 0: {"time": datetime(1992, 1, 1)},
383
+ 1: {"time": datetime(1992, 1, 1)},
384
+ 2: {"time": datetime(1993, 1, 1)},
385
+ 3: {"time": datetime(1993, 1, 1)},
386
+ 4: {"time": datetime(1995, 1, 1)},
387
+ 5: {"time": datetime(1997, 1, 1)},
388
+ 6: {"time": datetime(1998, 1, 1)},
389
+ 7: {"time": datetime(1999, 1, 1)},
390
+ 8: {"time": datetime(1999, 1, 1)},
391
+ 9: {"time": datetime(1998, 1, 1)},
392
+ 10: {"time": datetime(1997, 4, 1)},
393
+ 11: {"time": datetime(1998, 5, 1)},
394
+ }
395
+
396
+ nx.set_node_attributes(G, node_attrs)
397
+
398
+ assert nx.cd_index(G, 5, time_delta=_delta) == -1
399
+
400
+ def test_maximally_destabilizing(self):
401
+ G = nx.DiGraph()
402
+ G.add_nodes_from([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11])
403
+ G.add_edge(5, 1)
404
+ G.add_edge(5, 2)
405
+ G.add_edge(5, 3)
406
+ G.add_edge(5, 4)
407
+ G.add_edge(6, 5)
408
+ G.add_edge(7, 5)
409
+ G.add_edge(8, 5)
410
+ G.add_edge(9, 5)
411
+ G.add_edge(10, 5)
412
+ G.add_edge(11, 5)
413
+
414
+ node_attrs = {
415
+ 0: {"time": datetime(1992, 1, 1)},
416
+ 1: {"time": datetime(1992, 1, 1)},
417
+ 2: {"time": datetime(1993, 1, 1)},
418
+ 3: {"time": datetime(1993, 1, 1)},
419
+ 4: {"time": datetime(1995, 1, 1)},
420
+ 5: {"time": datetime(1997, 1, 1)},
421
+ 6: {"time": datetime(1998, 1, 1)},
422
+ 7: {"time": datetime(1999, 1, 1)},
423
+ 8: {"time": datetime(1999, 1, 1)},
424
+ 9: {"time": datetime(1998, 1, 1)},
425
+ 10: {"time": datetime(1997, 4, 1)},
426
+ 11: {"time": datetime(1998, 5, 1)},
427
+ }
428
+
429
+ nx.set_node_attributes(G, node_attrs)
430
+
431
+ assert nx.cd_index(G, 5, time_delta=_delta) == 1
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_triads.py ADDED
@@ -0,0 +1,289 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ """Tests for the :mod:`networkx.algorithms.triads` module."""
2
+
3
+ import itertools
4
+ from collections import defaultdict
5
+ from random import sample
6
+
7
+ import pytest
8
+
9
+ import networkx as nx
10
+
11
+
12
+ def test_all_triplets_deprecated():
13
+ G = nx.DiGraph([(1, 2), (2, 3), (3, 4)])
14
+ with pytest.deprecated_call():
15
+ nx.all_triplets(G)
16
+
17
+
18
+ def test_random_triad_deprecated():
19
+ G = nx.path_graph(3, create_using=nx.DiGraph)
20
+ with pytest.deprecated_call():
21
+ nx.random_triad(G)
22
+
23
+
24
+ def test_triadic_census():
25
+ """Tests the triadic_census function."""
26
+ G = nx.DiGraph()
27
+ G.add_edges_from(["01", "02", "03", "04", "05", "12", "16", "51", "56", "65"])
28
+ expected = {
29
+ "030T": 2,
30
+ "120C": 1,
31
+ "210": 0,
32
+ "120U": 0,
33
+ "012": 9,
34
+ "102": 3,
35
+ "021U": 0,
36
+ "111U": 0,
37
+ "003": 8,
38
+ "030C": 0,
39
+ "021D": 9,
40
+ "201": 0,
41
+ "111D": 1,
42
+ "300": 0,
43
+ "120D": 0,
44
+ "021C": 2,
45
+ }
46
+ actual = nx.triadic_census(G)
47
+ assert expected == actual
48
+
49
+
50
+ def test_is_triad():
51
+ """Tests the is_triad function"""
52
+ G = nx.karate_club_graph()
53
+ G = G.to_directed()
54
+ for i in range(100):
55
+ nodes = sample(sorted(G.nodes()), 3)
56
+ G2 = G.subgraph(nodes)
57
+ assert nx.is_triad(G2)
58
+
59
+
60
+ def test_all_triplets():
61
+ """Tests the all_triplets function."""
62
+ G = nx.DiGraph()
63
+ G.add_edges_from(["01", "02", "03", "04", "05", "12", "16", "51", "56", "65"])
64
+ expected = [
65
+ f"{i},{j},{k}"
66
+ for i in range(7)
67
+ for j in range(i + 1, 7)
68
+ for k in range(j + 1, 7)
69
+ ]
70
+ expected = [set(x.split(",")) for x in expected]
71
+ actual = [set(x) for x in nx.all_triplets(G)]
72
+ assert all(any(s1 == s2 for s1 in expected) for s2 in actual)
73
+
74
+
75
+ def test_all_triads():
76
+ """Tests the all_triplets function."""
77
+ G = nx.DiGraph()
78
+ G.add_edges_from(["01", "02", "03", "04", "05", "12", "16", "51", "56", "65"])
79
+ expected = [
80
+ f"{i},{j},{k}"
81
+ for i in range(7)
82
+ for j in range(i + 1, 7)
83
+ for k in range(j + 1, 7)
84
+ ]
85
+ expected = [G.subgraph(x.split(",")) for x in expected]
86
+ actual = list(nx.all_triads(G))
87
+ assert all(any(nx.is_isomorphic(G1, G2) for G1 in expected) for G2 in actual)
88
+
89
+
90
+ def test_triad_type():
91
+ """Tests the triad_type function."""
92
+ # 0 edges (1 type)
93
+ G = nx.DiGraph({0: [], 1: [], 2: []})
94
+ assert nx.triad_type(G) == "003"
95
+ # 1 edge (1 type)
96
+ G = nx.DiGraph({0: [1], 1: [], 2: []})
97
+ assert nx.triad_type(G) == "012"
98
+ # 2 edges (4 types)
99
+ G = nx.DiGraph([(0, 1), (0, 2)])
100
+ assert nx.triad_type(G) == "021D"
101
+ G = nx.DiGraph({0: [1], 1: [0], 2: []})
102
+ assert nx.triad_type(G) == "102"
103
+ G = nx.DiGraph([(0, 1), (2, 1)])
104
+ assert nx.triad_type(G) == "021U"
105
+ G = nx.DiGraph([(0, 1), (1, 2)])
106
+ assert nx.triad_type(G) == "021C"
107
+ # 3 edges (4 types)
108
+ G = nx.DiGraph([(0, 1), (1, 0), (2, 1)])
109
+ assert nx.triad_type(G) == "111D"
110
+ G = nx.DiGraph([(0, 1), (1, 0), (1, 2)])
111
+ assert nx.triad_type(G) == "111U"
112
+ G = nx.DiGraph([(0, 1), (1, 2), (0, 2)])
113
+ assert nx.triad_type(G) == "030T"
114
+ G = nx.DiGraph([(0, 1), (1, 2), (2, 0)])
115
+ assert nx.triad_type(G) == "030C"
116
+ # 4 edges (4 types)
117
+ G = nx.DiGraph([(0, 1), (1, 0), (2, 0), (0, 2)])
118
+ assert nx.triad_type(G) == "201"
119
+ G = nx.DiGraph([(0, 1), (1, 0), (2, 0), (2, 1)])
120
+ assert nx.triad_type(G) == "120D"
121
+ G = nx.DiGraph([(0, 1), (1, 0), (0, 2), (1, 2)])
122
+ assert nx.triad_type(G) == "120U"
123
+ G = nx.DiGraph([(0, 1), (1, 0), (0, 2), (2, 1)])
124
+ assert nx.triad_type(G) == "120C"
125
+ # 5 edges (1 type)
126
+ G = nx.DiGraph([(0, 1), (1, 0), (2, 1), (1, 2), (0, 2)])
127
+ assert nx.triad_type(G) == "210"
128
+ # 6 edges (1 type)
129
+ G = nx.DiGraph([(0, 1), (1, 0), (1, 2), (2, 1), (0, 2), (2, 0)])
130
+ assert nx.triad_type(G) == "300"
131
+
132
+
133
+ def test_triads_by_type():
134
+ """Tests the all_triplets function."""
135
+ G = nx.DiGraph()
136
+ G.add_edges_from(["01", "02", "03", "04", "05", "12", "16", "51", "56", "65"])
137
+ all_triads = nx.all_triads(G)
138
+ expected = defaultdict(list)
139
+ for triad in all_triads:
140
+ name = nx.triad_type(triad)
141
+ expected[name].append(triad)
142
+ actual = nx.triads_by_type(G)
143
+ assert set(actual.keys()) == set(expected.keys())
144
+ for tri_type, actual_Gs in actual.items():
145
+ expected_Gs = expected[tri_type]
146
+ for a in actual_Gs:
147
+ assert any(nx.is_isomorphic(a, e) for e in expected_Gs)
148
+
149
+
150
+ def test_random_triad():
151
+ """Tests the random_triad function"""
152
+ G = nx.karate_club_graph()
153
+ G = G.to_directed()
154
+ for i in range(100):
155
+ assert nx.is_triad(nx.random_triad(G))
156
+
157
+ G = nx.DiGraph()
158
+ msg = "at least 3 nodes to form a triad"
159
+ with pytest.raises(nx.NetworkXError, match=msg):
160
+ nx.random_triad(G)
161
+
162
+
163
+ def test_triadic_census_short_path_nodelist():
164
+ G = nx.path_graph("abc", create_using=nx.DiGraph)
165
+ expected = {"021C": 1}
166
+ for nl in ["a", "b", "c", "ab", "ac", "bc", "abc"]:
167
+ triad_census = nx.triadic_census(G, nodelist=nl)
168
+ assert expected == {typ: cnt for typ, cnt in triad_census.items() if cnt > 0}
169
+
170
+
171
+ def test_triadic_census_correct_nodelist_values():
172
+ G = nx.path_graph(5, create_using=nx.DiGraph)
173
+ msg = r"nodelist includes duplicate nodes or nodes not in G"
174
+ with pytest.raises(ValueError, match=msg):
175
+ nx.triadic_census(G, [1, 2, 2, 3])
176
+ with pytest.raises(ValueError, match=msg):
177
+ nx.triadic_census(G, [1, 2, "a", 3])
178
+
179
+
180
+ def test_triadic_census_tiny_graphs():
181
+ tc = nx.triadic_census(nx.empty_graph(0, create_using=nx.DiGraph))
182
+ assert {} == {typ: cnt for typ, cnt in tc.items() if cnt > 0}
183
+ tc = nx.triadic_census(nx.empty_graph(1, create_using=nx.DiGraph))
184
+ assert {} == {typ: cnt for typ, cnt in tc.items() if cnt > 0}
185
+ tc = nx.triadic_census(nx.empty_graph(2, create_using=nx.DiGraph))
186
+ assert {} == {typ: cnt for typ, cnt in tc.items() if cnt > 0}
187
+ tc = nx.triadic_census(nx.DiGraph([(1, 2)]))
188
+ assert {} == {typ: cnt for typ, cnt in tc.items() if cnt > 0}
189
+
190
+
191
+ def test_triadic_census_selfloops():
192
+ GG = nx.path_graph("abc", create_using=nx.DiGraph)
193
+ expected = {"021C": 1}
194
+ for n in GG:
195
+ G = GG.copy()
196
+ G.add_edge(n, n)
197
+ tc = nx.triadic_census(G)
198
+ assert expected == {typ: cnt for typ, cnt in tc.items() if cnt > 0}
199
+
200
+ GG = nx.path_graph("abcde", create_using=nx.DiGraph)
201
+ tbt = nx.triads_by_type(GG)
202
+ for n in GG:
203
+ GG.add_edge(n, n)
204
+ tc = nx.triadic_census(GG)
205
+ assert tc == {tt: len(tbt[tt]) for tt in tc}
206
+
207
+
208
+ def test_triadic_census_four_path():
209
+ G = nx.path_graph("abcd", create_using=nx.DiGraph)
210
+ expected = {"012": 2, "021C": 2}
211
+ triad_census = nx.triadic_census(G)
212
+ assert expected == {typ: cnt for typ, cnt in triad_census.items() if cnt > 0}
213
+
214
+
215
+ def test_triadic_census_four_path_nodelist():
216
+ G = nx.path_graph("abcd", create_using=nx.DiGraph)
217
+ expected_end = {"012": 2, "021C": 1}
218
+ expected_mid = {"012": 1, "021C": 2}
219
+ a_triad_census = nx.triadic_census(G, nodelist=["a"])
220
+ assert expected_end == {typ: cnt for typ, cnt in a_triad_census.items() if cnt > 0}
221
+ b_triad_census = nx.triadic_census(G, nodelist=["b"])
222
+ assert expected_mid == {typ: cnt for typ, cnt in b_triad_census.items() if cnt > 0}
223
+ c_triad_census = nx.triadic_census(G, nodelist=["c"])
224
+ assert expected_mid == {typ: cnt for typ, cnt in c_triad_census.items() if cnt > 0}
225
+ d_triad_census = nx.triadic_census(G, nodelist=["d"])
226
+ assert expected_end == {typ: cnt for typ, cnt in d_triad_census.items() if cnt > 0}
227
+
228
+
229
+ def test_triadic_census_nodelist():
230
+ """Tests the triadic_census function."""
231
+ G = nx.DiGraph()
232
+ G.add_edges_from(["01", "02", "03", "04", "05", "12", "16", "51", "56", "65"])
233
+ expected = {
234
+ "030T": 2,
235
+ "120C": 1,
236
+ "210": 0,
237
+ "120U": 0,
238
+ "012": 9,
239
+ "102": 3,
240
+ "021U": 0,
241
+ "111U": 0,
242
+ "003": 8,
243
+ "030C": 0,
244
+ "021D": 9,
245
+ "201": 0,
246
+ "111D": 1,
247
+ "300": 0,
248
+ "120D": 0,
249
+ "021C": 2,
250
+ }
251
+ actual = {k: 0 for k in expected}
252
+ for node in G.nodes():
253
+ node_triad_census = nx.triadic_census(G, nodelist=[node])
254
+ for triad_key in expected:
255
+ actual[triad_key] += node_triad_census[triad_key]
256
+ # Divide all counts by 3
257
+ for k, v in actual.items():
258
+ actual[k] //= 3
259
+ assert expected == actual
260
+
261
+
262
+ @pytest.mark.parametrize("N", [5, 10])
263
+ def test_triadic_census_on_random_graph(N):
264
+ G = nx.binomial_graph(N, 0.3, directed=True, seed=42)
265
+ tc1 = nx.triadic_census(G)
266
+ tbt = nx.triads_by_type(G)
267
+ tc2 = {tt: len(tbt[tt]) for tt in tc1}
268
+ assert tc1 == tc2
269
+
270
+ for n in G:
271
+ tc1 = nx.triadic_census(G, nodelist={n})
272
+ tc2 = {tt: sum(1 for t in tbt.get(tt, []) if n in t) for tt in tc1}
273
+ assert tc1 == tc2
274
+
275
+ for ns in itertools.combinations(G, 2):
276
+ ns = set(ns)
277
+ tc1 = nx.triadic_census(G, nodelist=ns)
278
+ tc2 = {
279
+ tt: sum(1 for t in tbt.get(tt, []) if any(n in ns for n in t)) for tt in tc1
280
+ }
281
+ assert tc1 == tc2
282
+
283
+ for ns in itertools.combinations(G, 3):
284
+ ns = set(ns)
285
+ tc1 = nx.triadic_census(G, nodelist=ns)
286
+ tc2 = {
287
+ tt: sum(1 for t in tbt.get(tt, []) if any(n in ns for n in t)) for tt in tc1
288
+ }
289
+ assert tc1 == tc2
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_vitality.py ADDED
@@ -0,0 +1,41 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import networkx as nx
2
+
3
+
4
+ class TestClosenessVitality:
5
+ def test_unweighted(self):
6
+ G = nx.cycle_graph(3)
7
+ vitality = nx.closeness_vitality(G)
8
+ assert vitality == {0: 2, 1: 2, 2: 2}
9
+
10
+ def test_weighted(self):
11
+ G = nx.Graph()
12
+ nx.add_cycle(G, [0, 1, 2], weight=2)
13
+ vitality = nx.closeness_vitality(G, weight="weight")
14
+ assert vitality == {0: 4, 1: 4, 2: 4}
15
+
16
+ def test_unweighted_digraph(self):
17
+ G = nx.DiGraph(nx.cycle_graph(3))
18
+ vitality = nx.closeness_vitality(G)
19
+ assert vitality == {0: 4, 1: 4, 2: 4}
20
+
21
+ def test_weighted_digraph(self):
22
+ G = nx.DiGraph()
23
+ nx.add_cycle(G, [0, 1, 2], weight=2)
24
+ nx.add_cycle(G, [2, 1, 0], weight=2)
25
+ vitality = nx.closeness_vitality(G, weight="weight")
26
+ assert vitality == {0: 8, 1: 8, 2: 8}
27
+
28
+ def test_weighted_multidigraph(self):
29
+ G = nx.MultiDiGraph()
30
+ nx.add_cycle(G, [0, 1, 2], weight=2)
31
+ nx.add_cycle(G, [2, 1, 0], weight=2)
32
+ vitality = nx.closeness_vitality(G, weight="weight")
33
+ assert vitality == {0: 8, 1: 8, 2: 8}
34
+
35
+ def test_disconnecting_graph(self):
36
+ """Tests that the closeness vitality of a node whose removal
37
+ disconnects the graph is negative infinity.
38
+
39
+ """
40
+ G = nx.path_graph(3)
41
+ assert nx.closeness_vitality(G, node=1) == -float("inf")
valley/lib/python3.10/site-packages/networkx/algorithms/tests/test_voronoi.py ADDED
@@ -0,0 +1,103 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ import networkx as nx
2
+ from networkx.utils import pairwise
3
+
4
+
5
+ class TestVoronoiCells:
6
+ """Unit tests for the Voronoi cells function."""
7
+
8
+ def test_isolates(self):
9
+ """Tests that a graph with isolated nodes has all isolates in
10
+ one block of the partition.
11
+
12
+ """
13
+ G = nx.empty_graph(5)
14
+ cells = nx.voronoi_cells(G, {0, 2, 4})
15
+ expected = {0: {0}, 2: {2}, 4: {4}, "unreachable": {1, 3}}
16
+ assert expected == cells
17
+
18
+ def test_undirected_unweighted(self):
19
+ G = nx.cycle_graph(6)
20
+ cells = nx.voronoi_cells(G, {0, 3})
21
+ expected = {0: {0, 1, 5}, 3: {2, 3, 4}}
22
+ assert expected == cells
23
+
24
+ def test_directed_unweighted(self):
25
+ # This is the singly-linked directed cycle graph on six nodes.
26
+ G = nx.DiGraph(pairwise(range(6), cyclic=True))
27
+ cells = nx.voronoi_cells(G, {0, 3})
28
+ expected = {0: {0, 1, 2}, 3: {3, 4, 5}}
29
+ assert expected == cells
30
+
31
+ def test_directed_inward(self):
32
+ """Tests that reversing the graph gives the "inward" Voronoi
33
+ partition.
34
+
35
+ """
36
+ # This is the singly-linked reverse directed cycle graph on six nodes.
37
+ G = nx.DiGraph(pairwise(range(6), cyclic=True))
38
+ G = G.reverse(copy=False)
39
+ cells = nx.voronoi_cells(G, {0, 3})
40
+ expected = {0: {0, 4, 5}, 3: {1, 2, 3}}
41
+ assert expected == cells
42
+
43
+ def test_undirected_weighted(self):
44
+ edges = [(0, 1, 10), (1, 2, 1), (2, 3, 1)]
45
+ G = nx.Graph()
46
+ G.add_weighted_edges_from(edges)
47
+ cells = nx.voronoi_cells(G, {0, 3})
48
+ expected = {0: {0}, 3: {1, 2, 3}}
49
+ assert expected == cells
50
+
51
+ def test_directed_weighted(self):
52
+ edges = [(0, 1, 10), (1, 2, 1), (2, 3, 1), (3, 2, 1), (2, 1, 1)]
53
+ G = nx.DiGraph()
54
+ G.add_weighted_edges_from(edges)
55
+ cells = nx.voronoi_cells(G, {0, 3})
56
+ expected = {0: {0}, 3: {1, 2, 3}}
57
+ assert expected == cells
58
+
59
+ def test_multigraph_unweighted(self):
60
+ """Tests that the Voronoi cells for a multigraph are the same as
61
+ for a simple graph.
62
+
63
+ """
64
+ edges = [(0, 1), (1, 2), (2, 3)]
65
+ G = nx.MultiGraph(2 * edges)
66
+ H = nx.Graph(G)
67
+ G_cells = nx.voronoi_cells(G, {0, 3})
68
+ H_cells = nx.voronoi_cells(H, {0, 3})
69
+ assert G_cells == H_cells
70
+
71
+ def test_multidigraph_unweighted(self):
72
+ # This is the twice-singly-linked directed cycle graph on six nodes.
73
+ edges = list(pairwise(range(6), cyclic=True))
74
+ G = nx.MultiDiGraph(2 * edges)
75
+ H = nx.DiGraph(G)
76
+ G_cells = nx.voronoi_cells(G, {0, 3})
77
+ H_cells = nx.voronoi_cells(H, {0, 3})
78
+ assert G_cells == H_cells
79
+
80
+ def test_multigraph_weighted(self):
81
+ edges = [(0, 1, 10), (0, 1, 10), (1, 2, 1), (1, 2, 100), (2, 3, 1), (2, 3, 100)]
82
+ G = nx.MultiGraph()
83
+ G.add_weighted_edges_from(edges)
84
+ cells = nx.voronoi_cells(G, {0, 3})
85
+ expected = {0: {0}, 3: {1, 2, 3}}
86
+ assert expected == cells
87
+
88
+ def test_multidigraph_weighted(self):
89
+ edges = [
90
+ (0, 1, 10),
91
+ (0, 1, 10),
92
+ (1, 2, 1),
93
+ (2, 3, 1),
94
+ (3, 2, 10),
95
+ (3, 2, 1),
96
+ (2, 1, 10),
97
+ (2, 1, 1),
98
+ ]
99
+ G = nx.MultiDiGraph()
100
+ G.add_weighted_edges_from(edges)
101
+ cells = nx.voronoi_cells(G, {0, 3})
102
+ expected = {0: {0}, 3: {1, 2, 3}}
103
+ assert expected == cells
wemm/lib/python3.10/lib2to3/Grammar.txt ADDED
@@ -0,0 +1,196 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ # Grammar for 2to3. This grammar supports Python 2.x and 3.x.
2
+
3
+ # NOTE WELL: You should also follow all the steps listed at
4
+ # https://devguide.python.org/grammar/
5
+
6
+ # Start symbols for the grammar:
7
+ # file_input is a module or sequence of commands read from an input file;
8
+ # single_input is a single interactive statement;
9
+ # eval_input is the input for the eval() and input() functions.
10
+ # NB: compound_stmt in single_input is followed by extra NEWLINE!
11
+ file_input: (NEWLINE | stmt)* ENDMARKER
12
+ single_input: NEWLINE | simple_stmt | compound_stmt NEWLINE
13
+ eval_input: testlist NEWLINE* ENDMARKER
14
+
15
+ decorator: '@' dotted_name [ '(' [arglist] ')' ] NEWLINE
16
+ decorators: decorator+
17
+ decorated: decorators (classdef | funcdef | async_funcdef)
18
+ async_funcdef: ASYNC funcdef
19
+ funcdef: 'def' NAME parameters ['->' test] ':' suite
20
+ parameters: '(' [typedargslist] ')'
21
+
22
+ # The following definition for typedarglist is equivalent to this set of rules:
23
+ #
24
+ # arguments = argument (',' argument)*
25
+ # argument = tfpdef ['=' test]
26
+ # kwargs = '**' tname [',']
27
+ # args = '*' [tname]
28
+ # kwonly_kwargs = (',' argument)* [',' [kwargs]]
29
+ # args_kwonly_kwargs = args kwonly_kwargs | kwargs
30
+ # poskeyword_args_kwonly_kwargs = arguments [',' [args_kwonly_kwargs]]
31
+ # typedargslist_no_posonly = poskeyword_args_kwonly_kwargs | args_kwonly_kwargs
32
+ # typedarglist = arguments ',' '/' [',' [typedargslist_no_posonly]])|(typedargslist_no_posonly)"
33
+ #
34
+ # It needs to be fully expanded to allow our LL(1) parser to work on it.
35
+
36
+ typedargslist: tfpdef ['=' test] (',' tfpdef ['=' test])* ',' '/' [
37
+ ',' [((tfpdef ['=' test] ',')* ('*' [tname] (',' tname ['=' test])*
38
+ [',' ['**' tname [',']]] | '**' tname [','])
39
+ | tfpdef ['=' test] (',' tfpdef ['=' test])* [','])]
40
+ ] | ((tfpdef ['=' test] ',')* ('*' [tname] (',' tname ['=' test])*
41
+ [',' ['**' tname [',']]] | '**' tname [','])
42
+ | tfpdef ['=' test] (',' tfpdef ['=' test])* [','])
43
+
44
+ tname: NAME [':' test]
45
+ tfpdef: tname | '(' tfplist ')'
46
+ tfplist: tfpdef (',' tfpdef)* [',']
47
+
48
+ # The following definition for varargslist is equivalent to this set of rules:
49
+ #
50
+ # arguments = argument (',' argument )*
51
+ # argument = vfpdef ['=' test]
52
+ # kwargs = '**' vname [',']
53
+ # args = '*' [vname]
54
+ # kwonly_kwargs = (',' argument )* [',' [kwargs]]
55
+ # args_kwonly_kwargs = args kwonly_kwargs | kwargs
56
+ # poskeyword_args_kwonly_kwargs = arguments [',' [args_kwonly_kwargs]]
57
+ # vararglist_no_posonly = poskeyword_args_kwonly_kwargs | args_kwonly_kwargs
58
+ # varargslist = arguments ',' '/' [','[(vararglist_no_posonly)]] | (vararglist_no_posonly)
59
+ #
60
+ # It needs to be fully expanded to allow our LL(1) parser to work on it.
61
+
62
+ varargslist: vfpdef ['=' test ](',' vfpdef ['=' test])* ',' '/' [',' [
63
+ ((vfpdef ['=' test] ',')* ('*' [vname] (',' vname ['=' test])*
64
+ [',' ['**' vname [',']]] | '**' vname [','])
65
+ | vfpdef ['=' test] (',' vfpdef ['=' test])* [','])
66
+ ]] | ((vfpdef ['=' test] ',')*
67
+ ('*' [vname] (',' vname ['=' test])* [',' ['**' vname [',']]]| '**' vname [','])
68
+ | vfpdef ['=' test] (',' vfpdef ['=' test])* [','])
69
+
70
+ vname: NAME
71
+ vfpdef: vname | '(' vfplist ')'
72
+ vfplist: vfpdef (',' vfpdef)* [',']
73
+
74
+ stmt: simple_stmt | compound_stmt
75
+ simple_stmt: small_stmt (';' small_stmt)* [';'] NEWLINE
76
+ small_stmt: (expr_stmt | print_stmt | del_stmt | pass_stmt | flow_stmt |
77
+ import_stmt | global_stmt | exec_stmt | assert_stmt)
78
+ expr_stmt: testlist_star_expr (annassign | augassign (yield_expr|testlist) |
79
+ ('=' (yield_expr|testlist_star_expr))*)
80
+ annassign: ':' test ['=' test]
81
+ testlist_star_expr: (test|star_expr) (',' (test|star_expr))* [',']
82
+ augassign: ('+=' | '-=' | '*=' | '@=' | '/=' | '%=' | '&=' | '|=' | '^=' |
83
+ '<<=' | '>>=' | '**=' | '//=')
84
+ # For normal and annotated assignments, additional restrictions enforced by the interpreter
85
+ print_stmt: 'print' ( [ test (',' test)* [','] ] |
86
+ '>>' test [ (',' test)+ [','] ] )
87
+ del_stmt: 'del' exprlist
88
+ pass_stmt: 'pass'
89
+ flow_stmt: break_stmt | continue_stmt | return_stmt | raise_stmt | yield_stmt
90
+ break_stmt: 'break'
91
+ continue_stmt: 'continue'
92
+ return_stmt: 'return' [testlist_star_expr]
93
+ yield_stmt: yield_expr
94
+ raise_stmt: 'raise' [test ['from' test | ',' test [',' test]]]
95
+ import_stmt: import_name | import_from
96
+ import_name: 'import' dotted_as_names
97
+ import_from: ('from' ('.'* dotted_name | '.'+)
98
+ 'import' ('*' | '(' import_as_names ')' | import_as_names))
99
+ import_as_name: NAME ['as' NAME]
100
+ dotted_as_name: dotted_name ['as' NAME]
101
+ import_as_names: import_as_name (',' import_as_name)* [',']
102
+ dotted_as_names: dotted_as_name (',' dotted_as_name)*
103
+ dotted_name: NAME ('.' NAME)*
104
+ global_stmt: ('global' | 'nonlocal') NAME (',' NAME)*
105
+ exec_stmt: 'exec' expr ['in' test [',' test]]
106
+ assert_stmt: 'assert' test [',' test]
107
+
108
+ compound_stmt: if_stmt | while_stmt | for_stmt | try_stmt | with_stmt | funcdef | classdef | decorated | async_stmt
109
+ async_stmt: ASYNC (funcdef | with_stmt | for_stmt)
110
+ if_stmt: 'if' namedexpr_test ':' suite ('elif' namedexpr_test ':' suite)* ['else' ':' suite]
111
+ while_stmt: 'while' namedexpr_test ':' suite ['else' ':' suite]
112
+ for_stmt: 'for' exprlist 'in' testlist ':' suite ['else' ':' suite]
113
+ try_stmt: ('try' ':' suite
114
+ ((except_clause ':' suite)+
115
+ ['else' ':' suite]
116
+ ['finally' ':' suite] |
117
+ 'finally' ':' suite))
118
+ with_stmt: 'with' with_item (',' with_item)* ':' suite
119
+ with_item: test ['as' expr]
120
+ with_var: 'as' expr
121
+ # NB compile.c makes sure that the default except clause is last
122
+ except_clause: 'except' [test [(',' | 'as') test]]
123
+ suite: simple_stmt | NEWLINE INDENT stmt+ DEDENT
124
+
125
+ # Backward compatibility cruft to support:
126
+ # [ x for x in lambda: True, lambda: False if x() ]
127
+ # even while also allowing:
128
+ # lambda x: 5 if x else 2
129
+ # (But not a mix of the two)
130
+ testlist_safe: old_test [(',' old_test)+ [',']]
131
+ old_test: or_test | old_lambdef
132
+ old_lambdef: 'lambda' [varargslist] ':' old_test
133
+
134
+ namedexpr_test: test [':=' test]
135
+ test: or_test ['if' or_test 'else' test] | lambdef
136
+ or_test: and_test ('or' and_test)*
137
+ and_test: not_test ('and' not_test)*
138
+ not_test: 'not' not_test | comparison
139
+ comparison: expr (comp_op expr)*
140
+ comp_op: '<'|'>'|'=='|'>='|'<='|'<>'|'!='|'in'|'not' 'in'|'is'|'is' 'not'
141
+ star_expr: '*' expr
142
+ expr: xor_expr ('|' xor_expr)*
143
+ xor_expr: and_expr ('^' and_expr)*
144
+ and_expr: shift_expr ('&' shift_expr)*
145
+ shift_expr: arith_expr (('<<'|'>>') arith_expr)*
146
+ arith_expr: term (('+'|'-') term)*
147
+ term: factor (('*'|'@'|'/'|'%'|'//') factor)*
148
+ factor: ('+'|'-'|'~') factor | power
149
+ power: [AWAIT] atom trailer* ['**' factor]
150
+ atom: ('(' [yield_expr|testlist_gexp] ')' |
151
+ '[' [listmaker] ']' |
152
+ '{' [dictsetmaker] '}' |
153
+ '`' testlist1 '`' |
154
+ NAME | NUMBER | STRING+ | '.' '.' '.')
155
+ listmaker: (namedexpr_test|star_expr) ( comp_for | (',' (namedexpr_test|star_expr))* [','] )
156
+ testlist_gexp: (namedexpr_test|star_expr) ( comp_for | (',' (namedexpr_test|star_expr))* [','] )
157
+ lambdef: 'lambda' [varargslist] ':' test
158
+ trailer: '(' [arglist] ')' | '[' subscriptlist ']' | '.' NAME
159
+ subscriptlist: subscript (',' subscript)* [',']
160
+ subscript: test | [test] ':' [test] [sliceop]
161
+ sliceop: ':' [test]
162
+ exprlist: (expr|star_expr) (',' (expr|star_expr))* [',']
163
+ testlist: test (',' test)* [',']
164
+ dictsetmaker: ( ((test ':' test | '**' expr)
165
+ (comp_for | (',' (test ':' test | '**' expr))* [','])) |
166
+ ((test | star_expr)
167
+ (comp_for | (',' (test | star_expr))* [','])) )
168
+
169
+ classdef: 'class' NAME ['(' [arglist] ')'] ':' suite
170
+
171
+ arglist: argument (',' argument)* [',']
172
+
173
+ # "test '=' test" is really "keyword '=' test", but we have no such token.
174
+ # These need to be in a single rule to avoid grammar that is ambiguous
175
+ # to our LL(1) parser. Even though 'test' includes '*expr' in star_expr,
176
+ # we explicitly match '*' here, too, to give it proper precedence.
177
+ # Illegal combinations and orderings are blocked in ast.c:
178
+ # multiple (test comp_for) arguments are blocked; keyword unpackings
179
+ # that precede iterable unpackings are blocked; etc.
180
+ argument: ( test [comp_for] |
181
+ test ':=' test |
182
+ test '=' test |
183
+ '**' test |
184
+ '*' test )
185
+
186
+ comp_iter: comp_for | comp_if
187
+ comp_for: [ASYNC] 'for' exprlist 'in' testlist_safe [comp_iter]
188
+ comp_if: 'if' old_test [comp_iter]
189
+
190
+ testlist1: test (',' test)*
191
+
192
+ # not used in grammar, but may appear in "node" passed from Parser to Compiler
193
+ encoding_decl: NAME
194
+
195
+ yield_expr: 'yield' [yield_arg]
196
+ yield_arg: 'from' test | testlist_star_expr
wemm/lib/python3.10/lib2to3/__main__.py ADDED
@@ -0,0 +1,4 @@
 
 
 
 
 
1
+ import sys
2
+ from .main import main
3
+
4
+ sys.exit(main("lib2to3.fixes"))
wemm/lib/python3.10/lib2to3/btm_utils.py ADDED
@@ -0,0 +1,281 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ "Utility functions used by the btm_matcher module"
2
+
3
+ from . import pytree
4
+ from .pgen2 import grammar, token
5
+ from .pygram import pattern_symbols, python_symbols
6
+
7
+ syms = pattern_symbols
8
+ pysyms = python_symbols
9
+ tokens = grammar.opmap
10
+ token_labels = token
11
+
12
+ TYPE_ANY = -1
13
+ TYPE_ALTERNATIVES = -2
14
+ TYPE_GROUP = -3
15
+
16
+ class MinNode(object):
17
+ """This class serves as an intermediate representation of the
18
+ pattern tree during the conversion to sets of leaf-to-root
19
+ subpatterns"""
20
+
21
+ def __init__(self, type=None, name=None):
22
+ self.type = type
23
+ self.name = name
24
+ self.children = []
25
+ self.leaf = False
26
+ self.parent = None
27
+ self.alternatives = []
28
+ self.group = []
29
+
30
+ def __repr__(self):
31
+ return str(self.type) + ' ' + str(self.name)
32
+
33
+ def leaf_to_root(self):
34
+ """Internal method. Returns a characteristic path of the
35
+ pattern tree. This method must be run for all leaves until the
36
+ linear subpatterns are merged into a single"""
37
+ node = self
38
+ subp = []
39
+ while node:
40
+ if node.type == TYPE_ALTERNATIVES:
41
+ node.alternatives.append(subp)
42
+ if len(node.alternatives) == len(node.children):
43
+ #last alternative
44
+ subp = [tuple(node.alternatives)]
45
+ node.alternatives = []
46
+ node = node.parent
47
+ continue
48
+ else:
49
+ node = node.parent
50
+ subp = None
51
+ break
52
+
53
+ if node.type == TYPE_GROUP:
54
+ node.group.append(subp)
55
+ #probably should check the number of leaves
56
+ if len(node.group) == len(node.children):
57
+ subp = get_characteristic_subpattern(node.group)
58
+ node.group = []
59
+ node = node.parent
60
+ continue
61
+ else:
62
+ node = node.parent
63
+ subp = None
64
+ break
65
+
66
+ if node.type == token_labels.NAME and node.name:
67
+ #in case of type=name, use the name instead
68
+ subp.append(node.name)
69
+ else:
70
+ subp.append(node.type)
71
+
72
+ node = node.parent
73
+ return subp
74
+
75
+ def get_linear_subpattern(self):
76
+ """Drives the leaf_to_root method. The reason that
77
+ leaf_to_root must be run multiple times is because we need to
78
+ reject 'group' matches; for example the alternative form
79
+ (a | b c) creates a group [b c] that needs to be matched. Since
80
+ matching multiple linear patterns overcomes the automaton's
81
+ capabilities, leaf_to_root merges each group into a single
82
+ choice based on 'characteristic'ity,
83
+
84
+ i.e. (a|b c) -> (a|b) if b more characteristic than c
85
+
86
+ Returns: The most 'characteristic'(as defined by
87
+ get_characteristic_subpattern) path for the compiled pattern
88
+ tree.
89
+ """
90
+
91
+ for l in self.leaves():
92
+ subp = l.leaf_to_root()
93
+ if subp:
94
+ return subp
95
+
96
+ def leaves(self):
97
+ "Generator that returns the leaves of the tree"
98
+ for child in self.children:
99
+ yield from child.leaves()
100
+ if not self.children:
101
+ yield self
102
+
103
+ def reduce_tree(node, parent=None):
104
+ """
105
+ Internal function. Reduces a compiled pattern tree to an
106
+ intermediate representation suitable for feeding the
107
+ automaton. This also trims off any optional pattern elements(like
108
+ [a], a*).
109
+ """
110
+
111
+ new_node = None
112
+ #switch on the node type
113
+ if node.type == syms.Matcher:
114
+ #skip
115
+ node = node.children[0]
116
+
117
+ if node.type == syms.Alternatives :
118
+ #2 cases
119
+ if len(node.children) <= 2:
120
+ #just a single 'Alternative', skip this node
121
+ new_node = reduce_tree(node.children[0], parent)
122
+ else:
123
+ #real alternatives
124
+ new_node = MinNode(type=TYPE_ALTERNATIVES)
125
+ #skip odd children('|' tokens)
126
+ for child in node.children:
127
+ if node.children.index(child)%2:
128
+ continue
129
+ reduced = reduce_tree(child, new_node)
130
+ if reduced is not None:
131
+ new_node.children.append(reduced)
132
+ elif node.type == syms.Alternative:
133
+ if len(node.children) > 1:
134
+
135
+ new_node = MinNode(type=TYPE_GROUP)
136
+ for child in node.children:
137
+ reduced = reduce_tree(child, new_node)
138
+ if reduced:
139
+ new_node.children.append(reduced)
140
+ if not new_node.children:
141
+ # delete the group if all of the children were reduced to None
142
+ new_node = None
143
+
144
+ else:
145
+ new_node = reduce_tree(node.children[0], parent)
146
+
147
+ elif node.type == syms.Unit:
148
+ if (isinstance(node.children[0], pytree.Leaf) and
149
+ node.children[0].value == '('):
150
+ #skip parentheses
151
+ return reduce_tree(node.children[1], parent)
152
+ if ((isinstance(node.children[0], pytree.Leaf) and
153
+ node.children[0].value == '[')
154
+ or
155
+ (len(node.children)>1 and
156
+ hasattr(node.children[1], "value") and
157
+ node.children[1].value == '[')):
158
+ #skip whole unit if its optional
159
+ return None
160
+
161
+ leaf = True
162
+ details_node = None
163
+ alternatives_node = None
164
+ has_repeater = False
165
+ repeater_node = None
166
+ has_variable_name = False
167
+
168
+ for child in node.children:
169
+ if child.type == syms.Details:
170
+ leaf = False
171
+ details_node = child
172
+ elif child.type == syms.Repeater:
173
+ has_repeater = True
174
+ repeater_node = child
175
+ elif child.type == syms.Alternatives:
176
+ alternatives_node = child
177
+ if hasattr(child, 'value') and child.value == '=': # variable name
178
+ has_variable_name = True
179
+
180
+ #skip variable name
181
+ if has_variable_name:
182
+ #skip variable name, '='
183
+ name_leaf = node.children[2]
184
+ if hasattr(name_leaf, 'value') and name_leaf.value == '(':
185
+ # skip parenthesis
186
+ name_leaf = node.children[3]
187
+ else:
188
+ name_leaf = node.children[0]
189
+
190
+ #set node type
191
+ if name_leaf.type == token_labels.NAME:
192
+ #(python) non-name or wildcard
193
+ if name_leaf.value == 'any':
194
+ new_node = MinNode(type=TYPE_ANY)
195
+ else:
196
+ if hasattr(token_labels, name_leaf.value):
197
+ new_node = MinNode(type=getattr(token_labels, name_leaf.value))
198
+ else:
199
+ new_node = MinNode(type=getattr(pysyms, name_leaf.value))
200
+
201
+ elif name_leaf.type == token_labels.STRING:
202
+ #(python) name or character; remove the apostrophes from
203
+ #the string value
204
+ name = name_leaf.value.strip("'")
205
+ if name in tokens:
206
+ new_node = MinNode(type=tokens[name])
207
+ else:
208
+ new_node = MinNode(type=token_labels.NAME, name=name)
209
+ elif name_leaf.type == syms.Alternatives:
210
+ new_node = reduce_tree(alternatives_node, parent)
211
+
212
+ #handle repeaters
213
+ if has_repeater:
214
+ if repeater_node.children[0].value == '*':
215
+ #reduce to None
216
+ new_node = None
217
+ elif repeater_node.children[0].value == '+':
218
+ #reduce to a single occurrence i.e. do nothing
219
+ pass
220
+ else:
221
+ #TODO: handle {min, max} repeaters
222
+ raise NotImplementedError
223
+ pass
224
+
225
+ #add children
226
+ if details_node and new_node is not None:
227
+ for child in details_node.children[1:-1]:
228
+ #skip '<', '>' markers
229
+ reduced = reduce_tree(child, new_node)
230
+ if reduced is not None:
231
+ new_node.children.append(reduced)
232
+ if new_node:
233
+ new_node.parent = parent
234
+ return new_node
235
+
236
+
237
+ def get_characteristic_subpattern(subpatterns):
238
+ """Picks the most characteristic from a list of linear patterns
239
+ Current order used is:
240
+ names > common_names > common_chars
241
+ """
242
+ if not isinstance(subpatterns, list):
243
+ return subpatterns
244
+ if len(subpatterns)==1:
245
+ return subpatterns[0]
246
+
247
+ # first pick out the ones containing variable names
248
+ subpatterns_with_names = []
249
+ subpatterns_with_common_names = []
250
+ common_names = ['in', 'for', 'if' , 'not', 'None']
251
+ subpatterns_with_common_chars = []
252
+ common_chars = "[]().,:"
253
+ for subpattern in subpatterns:
254
+ if any(rec_test(subpattern, lambda x: type(x) is str)):
255
+ if any(rec_test(subpattern,
256
+ lambda x: isinstance(x, str) and x in common_chars)):
257
+ subpatterns_with_common_chars.append(subpattern)
258
+ elif any(rec_test(subpattern,
259
+ lambda x: isinstance(x, str) and x in common_names)):
260
+ subpatterns_with_common_names.append(subpattern)
261
+
262
+ else:
263
+ subpatterns_with_names.append(subpattern)
264
+
265
+ if subpatterns_with_names:
266
+ subpatterns = subpatterns_with_names
267
+ elif subpatterns_with_common_names:
268
+ subpatterns = subpatterns_with_common_names
269
+ elif subpatterns_with_common_chars:
270
+ subpatterns = subpatterns_with_common_chars
271
+ # of the remaining subpatterns pick out the longest one
272
+ return max(subpatterns, key=len)
273
+
274
+ def rec_test(sequence, test_func):
275
+ """Tests test_func on all items of sequence and items of included
276
+ sub-iterables"""
277
+ for x in sequence:
278
+ if isinstance(x, (list, tuple)):
279
+ yield from rec_test(x, test_func)
280
+ else:
281
+ yield test_func(x)
wemm/lib/python3.10/lib2to3/fixer_base.py ADDED
@@ -0,0 +1,186 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ # Copyright 2006 Google, Inc. All Rights Reserved.
2
+ # Licensed to PSF under a Contributor Agreement.
3
+
4
+ """Base class for fixers (optional, but recommended)."""
5
+
6
+ # Python imports
7
+ import itertools
8
+
9
+ # Local imports
10
+ from .patcomp import PatternCompiler
11
+ from . import pygram
12
+ from .fixer_util import does_tree_import
13
+
14
+ class BaseFix(object):
15
+
16
+ """Optional base class for fixers.
17
+
18
+ The subclass name must be FixFooBar where FooBar is the result of
19
+ removing underscores and capitalizing the words of the fix name.
20
+ For example, the class name for a fixer named 'has_key' should be
21
+ FixHasKey.
22
+ """
23
+
24
+ PATTERN = None # Most subclasses should override with a string literal
25
+ pattern = None # Compiled pattern, set by compile_pattern()
26
+ pattern_tree = None # Tree representation of the pattern
27
+ options = None # Options object passed to initializer
28
+ filename = None # The filename (set by set_filename)
29
+ numbers = itertools.count(1) # For new_name()
30
+ used_names = set() # A set of all used NAMEs
31
+ order = "post" # Does the fixer prefer pre- or post-order traversal
32
+ explicit = False # Is this ignored by refactor.py -f all?
33
+ run_order = 5 # Fixers will be sorted by run order before execution
34
+ # Lower numbers will be run first.
35
+ _accept_type = None # [Advanced and not public] This tells RefactoringTool
36
+ # which node type to accept when there's not a pattern.
37
+
38
+ keep_line_order = False # For the bottom matcher: match with the
39
+ # original line order
40
+ BM_compatible = False # Compatibility with the bottom matching
41
+ # module; every fixer should set this
42
+ # manually
43
+
44
+ # Shortcut for access to Python grammar symbols
45
+ syms = pygram.python_symbols
46
+
47
+ def __init__(self, options, log):
48
+ """Initializer. Subclass may override.
49
+
50
+ Args:
51
+ options: a dict containing the options passed to RefactoringTool
52
+ that could be used to customize the fixer through the command line.
53
+ log: a list to append warnings and other messages to.
54
+ """
55
+ self.options = options
56
+ self.log = log
57
+ self.compile_pattern()
58
+
59
+ def compile_pattern(self):
60
+ """Compiles self.PATTERN into self.pattern.
61
+
62
+ Subclass may override if it doesn't want to use
63
+ self.{pattern,PATTERN} in .match().
64
+ """
65
+ if self.PATTERN is not None:
66
+ PC = PatternCompiler()
67
+ self.pattern, self.pattern_tree = PC.compile_pattern(self.PATTERN,
68
+ with_tree=True)
69
+
70
+ def set_filename(self, filename):
71
+ """Set the filename.
72
+
73
+ The main refactoring tool should call this.
74
+ """
75
+ self.filename = filename
76
+
77
+ def match(self, node):
78
+ """Returns match for a given parse tree node.
79
+
80
+ Should return a true or false object (not necessarily a bool).
81
+ It may return a non-empty dict of matching sub-nodes as
82
+ returned by a matching pattern.
83
+
84
+ Subclass may override.
85
+ """
86
+ results = {"node": node}
87
+ return self.pattern.match(node, results) and results
88
+
89
+ def transform(self, node, results):
90
+ """Returns the transformation for a given parse tree node.
91
+
92
+ Args:
93
+ node: the root of the parse tree that matched the fixer.
94
+ results: a dict mapping symbolic names to part of the match.
95
+
96
+ Returns:
97
+ None, or a node that is a modified copy of the
98
+ argument node. The node argument may also be modified in-place to
99
+ effect the same change.
100
+
101
+ Subclass *must* override.
102
+ """
103
+ raise NotImplementedError()
104
+
105
+ def new_name(self, template="xxx_todo_changeme"):
106
+ """Return a string suitable for use as an identifier
107
+
108
+ The new name is guaranteed not to conflict with other identifiers.
109
+ """
110
+ name = template
111
+ while name in self.used_names:
112
+ name = template + str(next(self.numbers))
113
+ self.used_names.add(name)
114
+ return name
115
+
116
+ def log_message(self, message):
117
+ if self.first_log:
118
+ self.first_log = False
119
+ self.log.append("### In file %s ###" % self.filename)
120
+ self.log.append(message)
121
+
122
+ def cannot_convert(self, node, reason=None):
123
+ """Warn the user that a given chunk of code is not valid Python 3,
124
+ but that it cannot be converted automatically.
125
+
126
+ First argument is the top-level node for the code in question.
127
+ Optional second argument is why it can't be converted.
128
+ """
129
+ lineno = node.get_lineno()
130
+ for_output = node.clone()
131
+ for_output.prefix = ""
132
+ msg = "Line %d: could not convert: %s"
133
+ self.log_message(msg % (lineno, for_output))
134
+ if reason:
135
+ self.log_message(reason)
136
+
137
+ def warning(self, node, reason):
138
+ """Used for warning the user about possible uncertainty in the
139
+ translation.
140
+
141
+ First argument is the top-level node for the code in question.
142
+ Optional second argument is why it can't be converted.
143
+ """
144
+ lineno = node.get_lineno()
145
+ self.log_message("Line %d: %s" % (lineno, reason))
146
+
147
+ def start_tree(self, tree, filename):
148
+ """Some fixers need to maintain tree-wide state.
149
+ This method is called once, at the start of tree fix-up.
150
+
151
+ tree - the root node of the tree to be processed.
152
+ filename - the name of the file the tree came from.
153
+ """
154
+ self.used_names = tree.used_names
155
+ self.set_filename(filename)
156
+ self.numbers = itertools.count(1)
157
+ self.first_log = True
158
+
159
+ def finish_tree(self, tree, filename):
160
+ """Some fixers need to maintain tree-wide state.
161
+ This method is called once, at the conclusion of tree fix-up.
162
+
163
+ tree - the root node of the tree to be processed.
164
+ filename - the name of the file the tree came from.
165
+ """
166
+ pass
167
+
168
+
169
+ class ConditionalFix(BaseFix):
170
+ """ Base class for fixers which not execute if an import is found. """
171
+
172
+ # This is the name of the import which, if found, will cause the test to be skipped
173
+ skip_on = None
174
+
175
+ def start_tree(self, *args):
176
+ super(ConditionalFix, self).start_tree(*args)
177
+ self._should_skip = None
178
+
179
+ def should_skip(self, node):
180
+ if self._should_skip is not None:
181
+ return self._should_skip
182
+ pkg = self.skip_on.split(".")
183
+ name = pkg[-1]
184
+ pkg = ".".join(pkg[:-1])
185
+ self._should_skip = does_tree_import(pkg, name, node)
186
+ return self._should_skip
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