def test_edge_choice_for_algo3(self):
h = HyperGraph(
frozenset([frozenset([1]), frozenset([2]), frozenset([3]), frozenset([4]), frozenset([5]), frozenset([6])]),
frozenset([frozenset([frozenset([1])]),
frozenset([frozenset([2])]),
frozenset([frozenset([3])]),
frozenset([frozenset([4])]),
frozenset([frozenset([5])]),
frozenset([frozenset([6])]),
frozenset([frozenset([4]), frozenset([5])]),
frozenset([frozenset([5]), frozenset([6])]),
frozenset([frozenset([1]), frozenset([2]), frozenset([3]), frozenset([4]), frozenset([5]),
frozenset([6])])]))
g = BinaryMixedTree(MixedGraph({1, 2, 3, 4, 5, 6}, [(1, 2), (2, 4), (4, 3), (4, 5), (5, 6)]))
map = s_0(g)
value = edge_choice_for_algo3(BasicTreeConstruction(g, map, h))
expected = frozenset({frozenset([4]), frozenset([5])})
self.assertEqual(list(g.edges[0]), edges_in_homogeneous_subset(g, g.homogeneous_subset()))
self.assertEqual(expected, value)
def test_hypergraph_1(self):
h = HyperGraph(frozenset([frozenset([1]), frozenset([2]), frozenset([3])]),
frozenset([frozenset([frozenset([1])]),
frozenset([frozenset([2])]),
frozenset([frozenset([3])]),
frozenset([frozenset([1]), frozenset([2])]),
frozenset([frozenset([2]), frozenset([3])]),
frozenset([frozenset([i + 1]) for i in range(3)])
]))
t = BinaryMixedTree(MixedGraph({1, 2, 3}, [(1, 3)]))
t.add_directed(frozenset([1]), frozenset([2]))
maps = s_0(t)
next_tree, next_map = BasicTreeConstruction(t, maps, h).step(StratAlgo3())
self.assertEqual(
{frozenset([1]): {frozenset([1])}, frozenset([2]): {frozenset([2])}, frozenset([3]): {frozenset([3])},
frozenset([1, 3]): {frozenset([1]), frozenset([3])}}, next_map)
expected_graph = BinaryMixedTree(MixedGraph({2}))
expected_graph.add(frozenset([1, 3]))
expected_graph.add_undirected(frozenset([2]), frozenset([1, 3]))
self.assertEqual(expected_graph, next_tree)
def test_delta_z(self):
g = HyperGraph(frozenset([frozenset([i]) for i in range(1, 7)]))
for i in range(1, 7):
g.add_edge(frozenset([frozenset([i])]))
g.add_edge(frozenset([frozenset([i]) for i in range(1, 7)]))
g.add_edge(frozenset([frozenset([1]), frozenset([2])]))
g.add_edge(frozenset([frozenset([4]), frozenset([5])]))
g.add_edge(frozenset([frozenset([5]), frozenset([6])]))
g.add_edge(frozenset([frozenset([4]), frozenset([5]), frozenset([6])]))
g.add_edge(frozenset([frozenset([3]), frozenset([4]), frozenset([5])]))
g.add_edge(frozenset([frozenset([3]), frozenset([4]), frozenset([5]), frozenset([6])]))
g.add_edge(frozenset([frozenset([1]), frozenset([2]), frozenset([3]), frozenset([4]), frozenset([5])]))
t = BinaryMixedTree(MixedGraph({1, 2, 3, 4, 5, 6}, [(3, 6), (1, 5)]))
s = s_0(t)
s[frozenset([1, 3])] = {frozenset([1]), frozenset([3])}
t.add(frozenset([1, 3]))
t.add_directed(frozenset([1]), frozenset([2]))
t.add_directed(frozenset([3]), frozenset([4]))
expected = {frozenset([5])}
value = delta_z_subset_algo3(BasicTreeConstruction(t, s, g), frozenset([frozenset([5])]),
frozenset([1, 3]), frozenset([1]))
self.assertEqual(expected, value)
def test_edge_choice(self):
g = HyperGraph(frozenset([frozenset([i]) for i in range(1, 7)]))
for i in range(1, 7):
g.add_edge(frozenset([frozenset([i])]))
g.add_edge(frozenset([frozenset([i]) for i in range(1, 7)]))
g.add_edge(frozenset([frozenset([1]), frozenset([2])]))
g.add_edge(frozenset([frozenset([4]), frozenset([5])]))
g.add_edge(frozenset([frozenset([5]), frozenset([6])]))
g.add_edge(frozenset([frozenset([4]), frozenset([5]), frozenset([6])]))
g.add_edge(frozenset([frozenset([3]), frozenset([4]), frozenset([5])]))
g.add_edge(frozenset([frozenset([3]), frozenset([4]), frozenset([5]), frozenset([6])]))
g.add_edge(frozenset([frozenset([1]), frozenset([2]), frozenset([3]), frozenset([4]), frozenset([5])]))
t = BinaryMixedTree(MixedGraph({1, 2, 3, 4, 5, 6}, [(1, 3), (3, 6), (1, 5)]))
t.add_directed(frozenset([1]), frozenset([2]))
t.add_directed(frozenset([3]), frozenset([4]))
self.assertEqual(edges_in_homogeneous_subset(t, t.homogeneous_subset()), list(t.edges[0]))
value = edge_choice_for_algo3(BasicTreeConstruction(t, s_0(t), g))
self.assertEqual(value, frozenset([frozenset([1]), frozenset([3])]))
def test_hypergraph_2(self):
g = HyperGraph(frozenset([frozenset([i]) for i in range(1, 7)]))
for i in range(1, 7):
g.add_edge(frozenset([frozenset([i])]))
g.add_edge(frozenset([frozenset([i]) for i in range(1, 7)]))
g.add_edge(frozenset([frozenset([1]), frozenset([2])]))
g.add_edge(frozenset([frozenset([4]), frozenset([5])]))
g.add_edge(frozenset([frozenset([5]), frozenset([6])]))
g.add_edge(frozenset([frozenset([4]), frozenset([5]), frozenset([6])]))
g.add_edge(frozenset([frozenset([3]), frozenset([4]), frozenset([5])]))
g.add_edge(frozenset([frozenset([3]), frozenset([4]), frozenset([5]), frozenset([6])]))
g.add_edge(frozenset([frozenset([1]), frozenset([2]), frozenset([3]), frozenset([4]), frozenset([5])]))
t = BinaryMixedTree(MixedGraph({1, 2, 3, 4, 5, 6}, [(3, 6), (1, 5), (1, 3)]))
t.add_directed(frozenset([1]), frozenset([2]))
t.add_directed(frozenset([3]), frozenset([4]))
next_tree, next_map = BasicTreeConstruction(t, s_0(t), g).step(StratAlgo3())
self.assertEqual({frozenset([1]): {frozenset([1])},
frozenset([2]): {frozenset([2])},
frozenset([3]): {frozenset([3])},
frozenset([4]): {frozenset([4])},
frozenset([5]): {frozenset([5])},
frozenset([6]): {frozenset([6])},
frozenset([1, 3]): {frozenset([1]), frozenset([3])}
}, next_map)
expected_tree = BinaryMixedTree(MixedGraph({2, 5, 3, 4, 6}, [(3, 6)]))
expected_tree.add(frozenset([1, 3]))
expected_tree.add_undirected(frozenset([1, 3]), frozenset([5]))
expected_tree.add_undirected(frozenset([1, 3]), frozenset([2]))
expected_tree.add_directed(frozenset([3]), frozenset([1, 3]))
expected_tree.add_directed(frozenset([3]), frozenset([4]))
self.assertEqual(expected_tree, next_tree)