File: //lib/python3/dist-packages/networkx/algorithms/components/tests/test_strongly_connected.py
import pytest
import networkx as nx
from networkx import NetworkXNotImplemented
class TestStronglyConnected:
@classmethod
def setup_class(cls):
cls.gc = []
G = nx.DiGraph()
G.add_edges_from(
[
(1, 2),
(2, 3),
(2, 8),
(3, 4),
(3, 7),
(4, 5),
(5, 3),
(5, 6),
(7, 4),
(7, 6),
(8, 1),
(8, 7),
]
)
C = {frozenset([3, 4, 5, 7]), frozenset([1, 2, 8]), frozenset([6])}
cls.gc.append((G, C))
G = nx.DiGraph()
G.add_edges_from([(1, 2), (1, 3), (1, 4), (4, 2), (3, 4), (2, 3)])
C = {frozenset([2, 3, 4]), frozenset([1])}
cls.gc.append((G, C))
G = nx.DiGraph()
G.add_edges_from([(1, 2), (2, 3), (3, 2), (2, 1)])
C = {frozenset([1, 2, 3])}
cls.gc.append((G, C))
# Eppstein's tests
G = nx.DiGraph({0: [1], 1: [2, 3], 2: [4, 5], 3: [4, 5], 4: [6], 5: [], 6: []})
C = {
frozenset([0]),
frozenset([1]),
frozenset([2]),
frozenset([3]),
frozenset([4]),
frozenset([5]),
frozenset([6]),
}
cls.gc.append((G, C))
G = nx.DiGraph({0: [1], 1: [2, 3, 4], 2: [0, 3], 3: [4], 4: [3]})
C = {frozenset([0, 1, 2]), frozenset([3, 4])}
cls.gc.append((G, C))
def test_tarjan(self):
scc = nx.strongly_connected_components
for G, C in self.gc:
assert {frozenset(g) for g in scc(G)} == C
def test_tarjan_recursive(self):
scc = nx.strongly_connected_components_recursive
for G, C in self.gc:
assert {frozenset(g) for g in scc(G)} == C
def test_kosaraju(self):
scc = nx.kosaraju_strongly_connected_components
for G, C in self.gc:
assert {frozenset(g) for g in scc(G)} == C
def test_number_strongly_connected_components(self):
ncc = nx.number_strongly_connected_components
for G, C in self.gc:
assert ncc(G) == len(C)
def test_is_strongly_connected(self):
for G, C in self.gc:
if len(C) == 1:
assert nx.is_strongly_connected(G)
else:
assert not nx.is_strongly_connected(G)
def test_contract_scc1(self):
G = nx.DiGraph()
G.add_edges_from(
[
(1, 2),
(2, 3),
(2, 11),
(2, 12),
(3, 4),
(4, 3),
(4, 5),
(5, 6),
(6, 5),
(6, 7),
(7, 8),
(7, 9),
(7, 10),
(8, 9),
(9, 7),
(10, 6),
(11, 2),
(11, 4),
(11, 6),
(12, 6),
(12, 11),
]
)
scc = list(nx.strongly_connected_components(G))
cG = nx.condensation(G, scc)
# DAG
assert nx.is_directed_acyclic_graph(cG)
# nodes
assert sorted(cG.nodes()) == [0, 1, 2, 3]
# edges
mapping = {}
for i, component in enumerate(scc):
for n in component:
mapping[n] = i
edge = (mapping[2], mapping[3])
assert cG.has_edge(*edge)
edge = (mapping[2], mapping[5])
assert cG.has_edge(*edge)
edge = (mapping[3], mapping[5])
assert cG.has_edge(*edge)
def test_contract_scc_isolate(self):
# Bug found and fixed in [1687].
G = nx.DiGraph()
G.add_edge(1, 2)
G.add_edge(2, 1)
scc = list(nx.strongly_connected_components(G))
cG = nx.condensation(G, scc)
assert list(cG.nodes()) == [0]
assert list(cG.edges()) == []
def test_contract_scc_edge(self):
G = nx.DiGraph()
G.add_edge(1, 2)
G.add_edge(2, 1)
G.add_edge(2, 3)
G.add_edge(3, 4)
G.add_edge(4, 3)
scc = list(nx.strongly_connected_components(G))
cG = nx.condensation(G, scc)
assert sorted(cG.nodes()) == [0, 1]
if 1 in scc[0]:
edge = (0, 1)
else:
edge = (1, 0)
assert list(cG.edges()) == [edge]
def test_condensation_mapping_and_members(self):
G, C = self.gc[1]
C = sorted(C, key=len, reverse=True)
cG = nx.condensation(G)
mapping = cG.graph["mapping"]
assert all(n in G for n in mapping)
assert all(0 == cN for n, cN in mapping.items() if n in C[0])
assert all(1 == cN for n, cN in mapping.items() if n in C[1])
for n, d in cG.nodes(data=True):
assert set(C[n]) == cG.nodes[n]["members"]
def test_null_graph(self):
G = nx.DiGraph()
assert list(nx.strongly_connected_components(G)) == []
assert list(nx.kosaraju_strongly_connected_components(G)) == []
assert list(nx.strongly_connected_components_recursive(G)) == []
assert len(nx.condensation(G)) == 0
pytest.raises(
nx.NetworkXPointlessConcept, nx.is_strongly_connected, nx.DiGraph()
)
def test_connected_raise(self):
G = nx.Graph()
with pytest.raises(NetworkXNotImplemented):
next(nx.strongly_connected_components(G))
with pytest.raises(NetworkXNotImplemented):
next(nx.kosaraju_strongly_connected_components(G))
with pytest.raises(NetworkXNotImplemented):
next(nx.strongly_connected_components_recursive(G))
pytest.raises(NetworkXNotImplemented, nx.is_strongly_connected, G)
pytest.raises(
nx.NetworkXPointlessConcept, nx.is_strongly_connected, nx.DiGraph()
)
pytest.raises(NetworkXNotImplemented, nx.condensation, G)
strong_cc_methods = (
nx.strongly_connected_components,
nx.kosaraju_strongly_connected_components,
nx.strongly_connected_components_recursive,
)
@pytest.mark.parametrize("get_components", strong_cc_methods)
def test_connected_mutability(self, get_components):
DG = nx.path_graph(5, create_using=nx.DiGraph)
G = nx.disjoint_union(DG, DG)
seen = set()
for component in get_components(G):
assert len(seen & component) == 0
seen.update(component)
component.clear()