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+import pytest
+
+import networkx as nx
+from networkx import NetworkXNotImplemented
+from networkx import convert_node_labels_to_integers as cnlti
+from networkx.classes.tests import dispatch_interface
+
+
+class TestConnected:
+ @classmethod
+ def setup_class(cls):
+ G1 = cnlti(nx.grid_2d_graph(2, 2), first_label=0, ordering="sorted")
+ G2 = cnlti(nx.lollipop_graph(3, 3), first_label=4, ordering="sorted")
+ G3 = cnlti(nx.house_graph(), first_label=10, ordering="sorted")
+ cls.G = nx.union(G1, G2)
+ cls.G = nx.union(cls.G, G3)
+ cls.DG = nx.DiGraph([(1, 2), (1, 3), (2, 3)])
+ cls.grid = cnlti(nx.grid_2d_graph(4, 4), first_label=1)
+
+ 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 = [[3, 4, 5, 7], [1, 2, 8], [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 = [[2, 3, 4], [1]]
+ cls.gc.append((G, C))
+
+ G = nx.DiGraph()
+ G.add_edges_from([(1, 2), (2, 3), (3, 2), (2, 1)])
+ C = [[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 = [[0], [1], [2], [3], [4], [5], [6]]
+ cls.gc.append((G, C))
+
+ G = nx.DiGraph({0: [1], 1: [2, 3, 4], 2: [0, 3], 3: [4], 4: [3]})
+ C = [[0, 1, 2], [3, 4]]
+ cls.gc.append((G, C))
+
+ G = nx.DiGraph()
+ C = []
+ cls.gc.append((G, C))
+
+ def test_connected_components(self):
+ # Test duplicated below
+ cc = nx.connected_components
+ G = self.G
+ C = {
+ frozenset([0, 1, 2, 3]),
+ frozenset([4, 5, 6, 7, 8, 9]),
+ frozenset([10, 11, 12, 13, 14]),
+ }
+ assert {frozenset(g) for g in cc(G)} == C
+
+ def test_connected_components_nx_loopback(self):
+ # This tests the @nx._dispatchable mechanism, treating nx.connected_components
+ # as if it were a re-implementation from another package.
+ # Test duplicated from above
+ cc = nx.connected_components
+ G = dispatch_interface.convert(self.G)
+ C = {
+ frozenset([0, 1, 2, 3]),
+ frozenset([4, 5, 6, 7, 8, 9]),
+ frozenset([10, 11, 12, 13, 14]),
+ }
+ if "nx_loopback" in nx.config.backends or not nx.config.backends:
+ # If `nx.config.backends` is empty, then `_dispatchable.__call__` takes a
+ # "fast path" and does not check graph inputs, so using an unknown backend
+ # here will still work.
+ assert {frozenset(g) for g in cc(G)} == C
+ else:
+ # This raises, because "nx_loopback" is not registered as a backend.
+ with pytest.raises(
+ ImportError, match="'nx_loopback' backend is not installed"
+ ):
+ cc(G)
+
+ def test_number_connected_components(self):
+ ncc = nx.number_connected_components
+ assert ncc(self.G) == 3
+
+ def test_number_connected_components2(self):
+ ncc = nx.number_connected_components
+ assert ncc(self.grid) == 1
+
+ def test_connected_components2(self):
+ cc = nx.connected_components
+ G = self.grid
+ C = {frozenset([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16])}
+ assert {frozenset(g) for g in cc(G)} == C
+
+ def test_node_connected_components(self):
+ ncc = nx.node_connected_component
+ G = self.grid
+ C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}
+ assert ncc(G, 1) == C
+
+ def test_is_connected(self):
+ assert nx.is_connected(self.grid)
+ G = nx.Graph()
+ G.add_nodes_from([1, 2])
+ assert not nx.is_connected(G)
+
+ def test_connected_raise(self):
+ with pytest.raises(NetworkXNotImplemented):
+ next(nx.connected_components(self.DG))
+ pytest.raises(NetworkXNotImplemented, nx.number_connected_components, self.DG)
+ pytest.raises(NetworkXNotImplemented, nx.node_connected_component, self.DG, 1)
+ pytest.raises(NetworkXNotImplemented, nx.is_connected, self.DG)
+ pytest.raises(nx.NetworkXPointlessConcept, nx.is_connected, nx.Graph())
+
+ def test_connected_mutability(self):
+ G = self.grid
+ seen = set()
+ for component in nx.connected_components(G):
+ assert len(seen & component) == 0
+ seen.update(component)
+ component.clear()