class TestGraph(unittest.TestCase):
"""
Contains unit tests of the Vertex, Edge, and Graph classes. Most of the
functionality of Vertex and Edge is only meaningful when part of a graph,
so we test them all together instead of having separate unit test classes
for each.
"""
def setUp(self):
"""
A function run before each unit test in this class.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
self.graph = Graph(vertices)
for edge in edges:
self.graph.addEdge(edge)
def test_vertices(self):
"""
Test that the vertices attribute can be accessed.
"""
vertices = self.graph.vertices
self.assertTrue(isinstance(vertices, list))
self.assertEqual(len(vertices), 6)
def test_addVertex(self):
"""
Test the Graph.addVertex() method.
"""
vertex = Vertex()
self.graph.addVertex(vertex)
self.assertTrue(vertex in self.graph.vertices)
self.assertTrue(vertex.edges == {})
def test_addEdge(self):
"""
Test the Graph.addEdge() method.
"""
vertex1 = Vertex()
vertex2 = Vertex()
edge = Edge(vertex1, vertex2)
try:
self.graph.addEdge(edge)
self.fail('Added edge between vertices not in graph to graph.')
except ValueError:
pass
self.graph.addVertex(vertex1)
self.graph.addVertex(vertex2)
self.graph.addEdge(edge)
self.assertTrue(vertex1 in self.graph.vertices)
self.assertTrue(vertex1 in vertex2.edges)
self.assertTrue(vertex2 in self.graph.vertices)
self.assertTrue(vertex2 in vertex1.edges)
self.assertTrue(vertex1.edges[vertex2] is edge)
self.assertTrue(vertex2.edges[vertex1] is edge)
def test_getEdge(self):
"""
Test the Graph.getEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[4]
try:
edge = self.graph.getEdge(vertex1, vertex2)
self.fail(
'Returned an edge between vertices that should not be connected in graph.'
)
except ValueError:
pass
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
edge = self.graph.getEdge(vertex1, vertex2)
self.assertNotEqual(edge, None)
self.assertTrue(isinstance(edge, Edge))
self.assertTrue(vertex1.edges[vertex2] is edge)
self.assertTrue(vertex2.edges[vertex1] is edge)
def test_getEdges(self):
"""
Test the Graph.getEdges() method.
"""
vertex1 = self.graph.vertices[2]
edges = self.graph.getEdges(vertex1)
self.assertTrue(isinstance(edges, dict))
self.assertEqual(len(edges), 2)
self.assertTrue(self.graph.vertices[1] in edges)
self.assertTrue(self.graph.vertices[3] in edges)
def test_getAllEdges(self):
"""
Test the Graph.getAllEdges() method.
"""
edges = self.graph.getAllEdges()
self.assertTrue(isinstance(edges, list))
self.assertEqual(len(edges), 5)
def test_hasVertex(self):
"""
Test the Graph.hasVertex() method.
"""
vertex = Vertex()
self.assertFalse(self.graph.hasVertex(vertex))
for v in self.graph.vertices:
self.assertTrue(self.graph.hasVertex(v))
def test_hasEdge(self):
"""
Test the Graph.hasEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[4]
self.assertFalse(self.graph.hasEdge(vertex1, vertex2))
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
self.assertTrue(self.graph.hasEdge(vertex1, vertex2))
def test_removeVertex(self):
"""
Test the Graph.removeVertex() method.
"""
vertex = self.graph.vertices[2]
self.assertTrue(self.graph.hasVertex(vertex))
self.graph.removeVertex(vertex)
self.assertFalse(self.graph.hasVertex(vertex))
for v in self.graph.vertices:
self.assertFalse(vertex in v.edges)
def test_removeEdge(self):
"""
Test the Graph.removeEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
self.assertTrue(self.graph.hasEdge(vertex1, vertex2))
edge = self.graph.getEdge(vertex1, vertex2)
self.graph.removeEdge(edge)
self.assertFalse(vertex1 in vertex2.edges)
self.assertFalse(vertex2 in vertex1.edges)
def test_copy(self):
"""
Test the graph copy function to ensure a complete copy of the graph is
made while preserving vertices and edges.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graph2 = graph.copy()
for vertex in graph.vertices:
self.assertTrue(graph2.hasVertex(vertex))
for v1 in graph.vertices:
for v2 in v1.edges:
self.assertTrue(graph2.hasEdge(v1, v2))
self.assertTrue(graph2.hasEdge(v2, v1))
self.assertTrue(graph2.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph2))
def test_copyAndMap(self):
"""
Test the returned dictionary points toward equivaalent vertices and edges
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graphDict = graph.copyAndMap()
graph2 = Graph(vertices=graphDict.values())
for vertex in graph.vertices:
self.assertTrue(graph2.hasVertex(graphDict[vertex]))
for v1 in graph.vertices:
for v2 in v1.edges:
self.assertTrue(graph2.hasEdge(graphDict[v1], graphDict[v2]))
self.assertTrue(graph2.hasEdge(graphDict[v2], graphDict[v1]))
self.assertTrue(graph2.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph2))
def test_split(self):
"""
Test the graph split function to ensure a proper splitting of the graph
is being done.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graphs = graph.split()
self.assertTrue(len(graphs) == 2)
self.assertTrue(
len(graphs[0].vertices) == 4 or len(graphs[0].vertices) == 2)
self.assertTrue(
len(graphs[0].vertices) +
len(graphs[1].vertices) == len(graph.vertices))
def test_merge(self):
"""
Test the graph merge function to ensure a proper merging of the graph
is being done.
"""
vertices1 = [Vertex() for i in range(4)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
]
vertices2 = [Vertex() for i in range(3)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
Edge(vertices2[1], vertices2[2]),
]
graph1 = Graph()
for vertex in vertices1:
graph1.addVertex(vertex)
for edge in edges1:
graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2:
graph2.addVertex(vertex)
for edge in edges2:
graph2.addEdge(edge)
graph = graph1.merge(graph2)
self.assertTrue(
len(graph1.vertices) + len(graph2.vertices) == len(graph.vertices))
for vertex1 in vertices1:
self.assertTrue(vertex1 in graph.vertices)
for vertex2 in vertex1.edges:
self.assertTrue(vertex2 in graph.vertices)
for vertex2 in vertices2:
self.assertTrue(vertex2 in graph.vertices)
for vertex1 in vertex2.edges:
self.assertTrue(vertex1 in vertex2.edges)
def test_resetConnectivityValues(self):
"""
Test the Graph.resetConnectivityValues() method.
"""
self.graph.resetConnectivityValues()
for vertex in self.graph.vertices:
self.assertEqual(vertex.connectivity1, -1)
self.assertEqual(vertex.connectivity2, -1)
self.assertEqual(vertex.connectivity3, -1)
self.assertEqual(vertex.sortingLabel, -1)
def test_updateConnectivityValues(self):
"""
Test the Graph.updateConnectivityValues() method.
"""
self.graph.updateConnectivityValues()
self.assertEqual(self.graph.vertices[0].connectivity1, 1)
self.assertEqual(self.graph.vertices[0].connectivity2, 2)
self.assertEqual(self.graph.vertices[0].connectivity3, 3)
self.assertEqual(self.graph.vertices[0].sortingLabel, -1)
self.assertEqual(self.graph.vertices[1].connectivity1, 2)
self.assertEqual(self.graph.vertices[1].connectivity2, 3)
self.assertEqual(self.graph.vertices[1].connectivity3, 6)
self.assertEqual(self.graph.vertices[1].sortingLabel, -1)
self.assertEqual(self.graph.vertices[2].connectivity1, 2)
self.assertEqual(self.graph.vertices[2].connectivity2, 4)
self.assertEqual(self.graph.vertices[2].connectivity3, 7)
self.assertEqual(self.graph.vertices[2].sortingLabel, -1)
self.assertEqual(self.graph.vertices[3].connectivity1, 2)
self.assertEqual(self.graph.vertices[3].connectivity2, 4)
self.assertEqual(self.graph.vertices[3].connectivity3, 7)
self.assertEqual(self.graph.vertices[3].sortingLabel, -1)
self.assertEqual(self.graph.vertices[4].connectivity1, 2)
self.assertEqual(self.graph.vertices[4].connectivity2, 3)
self.assertEqual(self.graph.vertices[4].connectivity3, 6)
self.assertEqual(self.graph.vertices[4].sortingLabel, -1)
self.assertEqual(self.graph.vertices[5].connectivity1, 1)
self.assertEqual(self.graph.vertices[5].connectivity2, 2)
self.assertEqual(self.graph.vertices[5].connectivity3, 3)
self.assertEqual(self.graph.vertices[5].sortingLabel, -1)
def test_sortVertices(self):
"""
Test the Graph.sortVertices() method.
"""
self.graph.updateConnectivityValues()
self.graph.sortVertices()
for vertex1, vertex2 in zip(self.graph.vertices[:-1],
self.graph.vertices[1:]):
self.assertTrue(vertex1.sortingLabel < vertex2.sortingLabel)
self.assertTrue(vertex1.connectivity3 >= vertex2.connectivity3)
self.assertTrue(vertex1.connectivity2 >= vertex2.connectivity2)
self.assertTrue(vertex1.connectivity1 >= vertex2.connectivity1)
def test_vertex_connectivity_values(self):
"""
Tests the vertex connectivity values as introduced by Morgan (1965).
First CV1 is the number of neighbours
CV2 is the sum of neighbouring CV1 values
CV3 is the sum of neighbouring CV2 values
Graph: Expected (and tested) values:
0-1-2-3-4 1-3-2-2-1 3-4-5-3-2 4-11-7-7-3
| | | |
5 1 3 4
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[1], vertices[5]),
]
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graph.updateConnectivityValues()
for i, cv_ in enumerate([1, 3, 2, 2, 1, 1]):
cv = vertices[i].connectivity1
self.assertEqual(
cv, cv_,
"On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".
format(i, cv, cv_))
for i, cv_ in enumerate([3, 4, 5, 3, 2, 3]):
cv = vertices[i].connectivity2
self.assertEqual(
cv, cv_,
"On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".
format(i, cv, cv_))
for i, cv_ in enumerate([4, 11, 7, 7, 3, 4]):
cv = vertices[i].connectivity3
self.assertEqual(
cv, cv_,
"On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".
format(i, cv, cv_))
def test_isomorphism(self):
"""
Check the graph isomorphism functions.
"""
vertices1 = [Vertex() for i in range(6)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
Edge(vertices1[3], vertices1[4]),
Edge(vertices1[4], vertices1[5]),
]
vertices2 = [Vertex() for i in range(6)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
Edge(vertices2[1], vertices2[2]),
Edge(vertices2[2], vertices2[3]),
Edge(vertices2[3], vertices2[4]),
Edge(vertices2[4], vertices2[5]),
]
graph1 = Graph()
for vertex in vertices1:
graph1.addVertex(vertex)
for edge in edges1:
graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2:
graph2.addVertex(vertex)
for edge in edges2:
graph2.addEdge(edge)
self.assertTrue(graph1.isIsomorphic(graph2))
self.assertTrue(graph1.isSubgraphIsomorphic(graph2))
self.assertTrue(graph2.isIsomorphic(graph1))
self.assertTrue(graph2.isSubgraphIsomorphic(graph1))
def test_subgraphIsomorphism(self):
"""
Check the subgraph isomorphism functions.
"""
vertices1 = [Vertex() for i in range(6)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
Edge(vertices1[3], vertices1[4]),
Edge(vertices1[4], vertices1[5]),
]
vertices2 = [Vertex() for i in range(2)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
]
graph1 = Graph()
for vertex in vertices1:
graph1.addVertex(vertex)
for edge in edges1:
graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2:
graph2.addVertex(vertex)
for edge in edges2:
graph2.addEdge(edge)
self.assertFalse(graph1.isIsomorphic(graph2))
self.assertFalse(graph2.isIsomorphic(graph1))
self.assertTrue(graph1.isSubgraphIsomorphic(graph2))
mapList = graph1.findSubgraphIsomorphisms(graph2)
self.assertTrue(len(mapList) == 10)
for mapping in mapList:
self.assertTrue(graph1.isMappingValid(graph2, mapping))
self.assertTrue(graph1.isMappingValid(graph2, mapping))
def test_pickle(self):
"""
Test that a Graph object can be successfully pickled and unpickled
with no loss of information.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph0 = Graph()
for vertex in vertices:
graph0.addVertex(vertex)
for edge in edges:
graph0.addEdge(edge)
graph0.updateConnectivityValues()
import cPickle
graph = cPickle.loads(cPickle.dumps(graph0))
self.assertEqual(len(graph0.vertices), len(graph.vertices))
for v1, v2 in zip(graph0.vertices, graph.vertices):
self.assertEqual(v1.connectivity1, v2.connectivity1)
self.assertEqual(v1.connectivity2, v2.connectivity2)
self.assertEqual(v1.connectivity3, v2.connectivity3)
self.assertEqual(v1.sortingLabel, v2.sortingLabel)
self.assertEqual(len(v1.edges), len(v2.edges))
self.assertTrue(graph0.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph0))
def test_isCyclic(self):
"""
Test the Graph.isCyclic() method.
"""
self.assertFalse(self.graph.isCyclic())
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertTrue(self.graph.isCyclic())
def test_isVertexInCycle(self):
"""
Test the Graph.isVertexInCycle() method.
"""
for vertex in self.graph.vertices:
self.assertFalse(self.graph.isVertexInCycle(vertex))
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
for vertex in self.graph.vertices[0:4]:
self.assertTrue(self.graph.isVertexInCycle(vertex))
for vertex in self.graph.vertices[4:]:
self.assertFalse(self.graph.isVertexInCycle(vertex))
def test_isEdgeInCycle(self):
"""
Test the Graph.isEdgeInCycle() method.
"""
for vertex1 in self.graph.vertices:
for vertex2, edge in vertex1.edges.items():
self.assertFalse(self.graph.isEdgeInCycle(edge))
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
for vertex1 in self.graph.vertices:
for vertex2, edge in vertex1.edges.items():
if self.graph.vertices.index(
vertex1) < 4 and self.graph.vertices.index(
vertex2) < 4:
self.assertTrue(self.graph.isEdgeInCycle(edge))
else:
self.assertFalse(self.graph.isEdgeInCycle(edge))
def test_getAllCyclicVertices(self):
self.assertListEqual(self.graph.getAllCyclicVertices(), [])
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertEqual(len(self.graph.getAllCyclicVertices()), 4)
def test_getAllPolycylicVertices(self):
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertListEqual(self.graph.getAllPolycyclicVertices(), [])
edge2 = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(
edge2) # Create another cycle to generate two fused cycles
self.assertEqual(len(self.graph.getAllPolycyclicVertices()), 2)
# Add new vertices and edges to generate a spirocyclic cycle
vertices = [Vertex() for i in range(2)]
for vertex in vertices:
self.graph.addVertex(vertex)
edges = [
Edge(self.graph.vertices[5], self.graph.vertices[6]),
Edge(self.graph.vertices[6], self.graph.vertices[7]),
Edge(self.graph.vertices[5], self.graph.vertices[7]),
]
for edge in edges:
self.graph.addEdge(edge)
self.assertEqual(len(self.graph.getAllPolycyclicVertices()), 3)
def test_getAllCycles(self):
"""
Test the Graph.getAllCycles() method.
"""
cycleList = self.graph.getAllCycles(self.graph.vertices[0])
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
cycleList = self.graph.getAllCycles(self.graph.vertices[0])
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
def test_getAllCyclesOfSize(self):
"""
Test the Graph.getRingsOfSize() method
"""
cycleList = self.graph.getAllCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(
edge
) # To create a cycle of length 6 and another cycle of length 4
cycleList = self.graph.getAllCyclesOfSize(4)
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
def test_getAllSimpleCyclesOfSize(self):
"""
Test the Graph.getAllSimpleCyclesOfSize() method.
"""
cycleList = self.graph.getAllCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(
edge
) # To create a cycle of length 6 and another cycle of length 4
cycleList = self.graph.getAllSimpleCyclesOfSize(4)
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
cycleList = self.graph.getAllSimpleCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
def test_getSmallestSetOfSmallestRings(self):
"""
Test the Graph.getSmallestSetOfSmallestRings() method.
"""
cycleList = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
cycleList = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(cycleList), 1)
self.assertEqual(len(cycleList[0]), 4)
def test_getRelevantCycles(self):
"""
Test the Graph.getRelevantCycles() method.
"""
cycleList = self.graph.getRelevantCycles()
self.assertEqual(len(cycleList), 0)
# Create a cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge)
# Create a second cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(edge)
# Create a bridge forming multiple cycles of length 4
edge = Edge(self.graph.vertices[1], self.graph.vertices[4])
self.graph.addEdge(edge)
# SSSR should be 3 cycles of length 4
cycleList = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(cycleList), 3)
sizeList = sorted([len(cycle) for cycle in cycleList])
self.assertEqual(sizeList, [4, 4, 4])
# RC should be 5 cycles of length 4
cycleList = self.graph.getRelevantCycles()
self.assertEqual(len(cycleList), 5)
sizeList = sorted([len(cycle) for cycle in cycleList])
self.assertEqual(sizeList, [4, 4, 4, 4, 4])
def test_cycleListOrderSSSR(self):
"""
Test that getSmallestSetOfSmallestRings return vertices in the proper order.
There are methods such as symmetry and molecule drawing which rely
on the fact that subsequent list entries are connected.
"""
# Create a cycle of length 5
edge = Edge(self.graph.vertices[0], self.graph.vertices[4])
self.graph.addEdge(edge)
# Test SSSR
sssr = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(sssr), 1)
self.assertEqual(len(sssr[0]), 5)
for i in range(5):
self.assertTrue(self.graph.hasEdge(sssr[0][i], sssr[0][i - 1]))
def test_cycleListOrderRC(self):
"""
Test that getRelevantCycles return vertices in the proper order.
There are methods such as symmetry and molecule drawing which rely
on the fact that subsequent list entries are connected.
"""
# Create a cycle of length 5
edge = Edge(self.graph.vertices[0], self.graph.vertices[4])
self.graph.addEdge(edge)
# Test RC
rc = self.graph.getRelevantCycles()
self.assertEqual(len(rc), 1)
self.assertEqual(len(rc[0]), 5)
for i in range(5):
self.assertTrue(self.graph.hasEdge(rc[0][i], rc[0][i - 1]))
def test_getPolycyclicRings(self):
"""
Test that the Graph.getPolycyclicRings() method returns only polycyclic rings.
"""
vertices = [Vertex() for i in range(27)]
bonds = [(0, 1), (1, 2), (2, 3), (3, 4), (4, 5), (5, 6),
(6, 7), (7, 8), (8, 9), (9, 10), (10, 11), (11, 12), (12, 13),
(13, 14), (14, 15), (14, 12), (12, 16), (16, 10), (10, 17),
(17, 18), (18, 19), (9, 20), (20, 21), (21, 7), (6, 22),
(22, 23), (22, 4), (23, 3), (23, 24), (24, 25), (25, 1)]
edges = []
for bond in bonds:
edges.append(Edge(vertices[bond[0]], vertices[bond[1]]))
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graph.updateConnectivityValues()
SSSR = graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(SSSR), 6)
polycyclicVertices = set(graph.getAllPolycyclicVertices())
expectedPolycyclicVertices = set(
[vertices[index] for index in [3, 23, 4, 22, 12]])
self.assertEqual(polycyclicVertices, expectedPolycyclicVertices)
continuousRings = graph.getPolycyclicRings()
expectedContinuousRings = [
[vertices[index] for index in [1, 2, 3, 4, 5, 6, 22, 23, 24, 25]],
#[vertices[index] for index in [7,8,9,21,20]], # This is a nonpolycyclic ring
[vertices[index] for index in [10, 11, 12, 13, 14, 16]],
]
# Convert to sets for comparison purposes
continuousRings = [set(ring) for ring in continuousRings]
expectedContinuousRings = [
set(ring) for ring in expectedContinuousRings
]
for ring in expectedContinuousRings:
self.assertTrue(ring in continuousRings)
def test_getMaxCycleOverlap(self):
"""
Test that getMaxCycleOverlap returns the correct overlap numbers
for different graphs.
"""
def make_graph(edge_inds):
nvert = max(max(inds) for inds in edge_inds) + 1
vertices = [Vertex() for _ in range(nvert)]
graph = Graph(vertices)
for idx1, idx2 in edge_inds:
graph.addEdge(Edge(vertices[idx1], vertices[idx2]))
return graph
linear = make_graph([(0, 1), (1, 2)])
mono = make_graph([(0, 1), (0, 2), (1, 2), (2, 3), (3, 4), (3, 5),
(4, 5)])
spiro = make_graph([(0, 1), (0, 2), (1, 2), (2, 3), (2, 4), (3, 4)])
fused = make_graph([(0, 1), (0, 2), (1, 2), (1, 3), (2, 3)])
bridged = make_graph([(0, 1), (0, 2), (1, 3), (1, 4), (2, 3), (2, 5),
(4, 5)])
cube = make_graph([(0, 1), (0, 2), (0, 4), (1, 3), (1, 5), (2, 3),
(2, 6), (3, 7), (4, 5), (4, 6), (5, 7), (6, 7)])
self.assertEqual(linear.getMaxCycleOverlap(), 0)
self.assertEqual(mono.getMaxCycleOverlap(), 0)
self.assertEqual(spiro.getMaxCycleOverlap(), 1)
self.assertEqual(fused.getMaxCycleOverlap(), 2)
self.assertEqual(bridged.getMaxCycleOverlap(), 3)
# With the current algorithm for maximum overlap determination, a cube
# only has an overlap of 2, because the set of relevant cycles
# contains the six four-membered faces. This could be changed in the
# future.
self.assertEqual(cube.getMaxCycleOverlap(), 2)
def test_getLargestRing(self):
"""
Test that the Graph.getPolycyclicRings() method returns only polycyclic rings.
"""
vertices = [Vertex() for i in range(27)]
bonds = [(0, 1), (1, 2),
(2, 3), (3, 4), (4, 5), (5, 6), (6, 7), (9, 10), (10, 11),
(11, 12), (12, 13), (13, 14), (14, 15), (12, 16), (10, 17),
(17, 18), (18, 19), (9, 20), (20, 21), (6, 22), (22, 23),
(22, 8), (8, 4), (23, 3), (23, 24), (24, 25), (25, 1)]
edges = []
for bond in bonds:
edges.append(Edge(vertices[bond[0]], vertices[bond[1]]))
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graph.updateConnectivityValues()
rings = graph.getPolycyclicRings()
self.assertEqual(len(rings), 1)
#ensure the last ring doesn't include vertex 8, since it isn't in the
#longest ring. Try two different items since one might contain the vertex 8
long_ring = graph.getLargestRing(rings[0][0])
long_ring2 = graph.getLargestRing(rings[0][1])
if len(long_ring) > len(long_ring2):
longest_ring = long_ring
else:
longest_ring = long_ring2
self.assertEqual(len(longest_ring), len(rings[0]) - 1)
def testSortCyclicVertices(self):
"""Test that _sortCyclicVertices works properly for a valid input."""
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(edge) # To create a cycle
# Sort the vertices
original = list(self.graph.vertices)
ordered = self.graph._sortCyclicVertices(original)
# Check that we didn't lose any vertices
self.assertEqual(len(self.graph.vertices), len(ordered),
'Sorting changed the number of vertices.')
# Check that the order is different
self.assertNotEqual(self.graph.vertices, ordered,
'Sorting did not change the order of vertices.')
# Check that subsequent vertices are connected
for i in range(5):
self.assertTrue(self.graph.hasEdge(ordered[i], ordered[i - 1]))
def testSortCyclicVerticesInvalid(self):
"""Test that _sortCyclicVertices raises an error for an invalid input."""
edge = Edge(self.graph.vertices[0], self.graph.vertices[4])
self.graph.addEdge(edge) # To create a cycle
original = list(self.graph.vertices)
with self.assertRaisesRegexp(RuntimeError,
'do not comprise a single cycle'):
self.graph._sortCyclicVertices(original)
def testSortCyclicVerticesNoncyclic(self):
"""Test that _sortCyclicVertices raises an error for a noncyclic input."""
original = list(self.graph.vertices)
with self.assertRaisesRegexp(RuntimeError,
'do not comprise a single cycle'):
self.graph._sortCyclicVertices(original)
def testSortCyclicVerticesUnconnected(self):
"""Test that _sortCyclicVertices raises an error for an unconnected input."""
self.graph.addVertex(Vertex())
original = list(self.graph.vertices)
with self.assertRaisesRegexp(RuntimeError,
'not all vertices are connected'):
self.graph._sortCyclicVertices(original)
class TestGraph(unittest.TestCase):
"""
Contains unit tests of the Vertex, Edge, and Graph classes. Most of the
functionality of Vertex and Edge is only meaningful when part of a graph,
so we test them all together instead of having separate unit test classes
for each.
"""
def setUp(self):
"""
A function run before each unit test in this class.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
self.graph = Graph()
for vertex in vertices:
self.graph.addVertex(vertex)
for edge in edges:
self.graph.addEdge(edge)
def test_addVertex(self):
"""
Test the Graph.addVertex() method.
"""
vertex = Vertex()
self.graph.addVertex(vertex)
self.assertTrue(vertex in self.graph.vertices)
self.assertTrue(vertex.edges == {})
def test_addEdge(self):
"""
Test the Graph.addEdge() method.
"""
vertex1 = Vertex()
vertex2 = Vertex()
edge = Edge(vertex1, vertex2)
try:
self.graph.addEdge(edge)
self.fail('Added edge between vertices not in graph to graph.')
except ValueError:
pass
self.graph.addVertex(vertex1)
self.graph.addVertex(vertex2)
self.graph.addEdge(edge)
self.assertTrue(vertex1 in self.graph.vertices)
self.assertTrue(vertex1 in vertex2.edges)
self.assertTrue(vertex2 in self.graph.vertices)
self.assertTrue(vertex2 in vertex1.edges)
self.assertTrue(vertex1.edges[vertex2] is edge)
self.assertTrue(vertex2.edges[vertex1] is edge)
def test_getEdge(self):
"""
Test the Graph.getEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[4]
try:
edge = self.graph.getEdge(vertex1, vertex2)
self.fail(
'Returned an edge between vertices that should not be connected in graph.'
)
except ValueError:
pass
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
edge = self.graph.getEdge(vertex1, vertex2)
self.assertNotEqual(edge, None)
self.assertTrue(isinstance(edge, Edge))
self.assertTrue(vertex1.edges[vertex2] is edge)
self.assertTrue(vertex2.edges[vertex1] is edge)
def test_getEdges(self):
"""
Test the Graph.getEdges() method.
"""
vertex1 = self.graph.vertices[2]
edges = self.graph.getEdges(vertex1)
self.assertTrue(isinstance(edges, dict))
self.assertEqual(len(edges), 2)
self.assertTrue(self.graph.vertices[1] in edges)
self.assertTrue(self.graph.vertices[3] in edges)
def test_hasVertex(self):
"""
Test the Graph.hasVertex() method.
"""
vertex = Vertex()
self.assertFalse(self.graph.hasVertex(vertex))
for v in self.graph.vertices:
self.assertTrue(self.graph.hasVertex(v))
def test_hasEdge(self):
"""
Test the Graph.hasEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[4]
self.assertFalse(self.graph.hasEdge(vertex1, vertex2))
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
self.assertTrue(self.graph.hasEdge(vertex1, vertex2))
def test_removeVertex(self):
"""
Test the Graph.removeVertex() method.
"""
vertex = self.graph.vertices[2]
self.assertTrue(self.graph.hasVertex(vertex))
self.graph.removeVertex(vertex)
self.assertFalse(self.graph.hasVertex(vertex))
for v in self.graph.vertices:
self.assertFalse(vertex in v.edges)
def test_removeEdge(self):
"""
Test the Graph.removeEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
self.assertTrue(self.graph.hasEdge(vertex1, vertex2))
edge = self.graph.getEdge(vertex1, vertex2)
self.graph.removeEdge(edge)
self.assertFalse(vertex1 in vertex2.edges)
self.assertFalse(vertex2 in vertex1.edges)
def test_copy(self):
"""
Test the graph copy function to ensure a complete copy of the graph is
made while preserving vertices and edges.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graph2 = graph.copy()
for vertex in graph.vertices:
self.assertTrue(graph2.hasVertex(vertex))
for v1 in graph.vertices:
for v2 in v1.edges:
self.assertTrue(graph2.hasEdge(v1, v2))
self.assertTrue(graph2.hasEdge(v2, v1))
self.assertTrue(graph2.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph2))
def test_copyAndMap(self):
"""
Test the returned dictionary points toward equivaalent vertices and edges
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graphDict = graph.copyAndMap()
graph2 = Graph(vertices=graphDict.values())
for vertex in graph.vertices:
self.assertTrue(graph2.hasVertex(graphDict[vertex]))
for v1 in graph.vertices:
for v2 in v1.edges:
self.assertTrue(graph2.hasEdge(graphDict[v1], graphDict[v2]))
self.assertTrue(graph2.hasEdge(graphDict[v2], graphDict[v1]))
self.assertTrue(graph2.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph2))
def test_split(self):
"""
Test the graph split function to ensure a proper splitting of the graph
is being done.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graphs = graph.split()
self.assertTrue(len(graphs) == 2)
self.assertTrue(
len(graphs[0].vertices) == 4 or len(graphs[0].vertices) == 2)
self.assertTrue(
len(graphs[0].vertices) +
len(graphs[1].vertices) == len(graph.vertices))
def test_merge(self):
"""
Test the graph merge function to ensure a proper merging of the graph
is being done.
"""
vertices1 = [Vertex() for i in range(4)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
]
vertices2 = [Vertex() for i in range(3)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
Edge(vertices2[1], vertices2[2]),
]
graph1 = Graph()
for vertex in vertices1:
graph1.addVertex(vertex)
for edge in edges1:
graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2:
graph2.addVertex(vertex)
for edge in edges2:
graph2.addEdge(edge)
graph = graph1.merge(graph2)
self.assertTrue(
len(graph1.vertices) + len(graph2.vertices) == len(graph.vertices))
for vertex1 in vertices1:
self.assertTrue(vertex1 in graph.vertices)
for vertex2 in vertex1.edges:
self.assertTrue(vertex2 in graph.vertices)
for vertex2 in vertices2:
self.assertTrue(vertex2 in graph.vertices)
for vertex1 in vertex2.edges:
self.assertTrue(vertex1 in vertex2.edges)
def test_resetConnectivityValues(self):
"""
Test the Graph.resetConnectivityValues() method.
"""
self.graph.resetConnectivityValues()
for vertex in self.graph.vertices:
self.assertEqual(vertex.connectivity1, -1)
self.assertEqual(vertex.connectivity2, -1)
self.assertEqual(vertex.connectivity3, -1)
self.assertEqual(vertex.sortingLabel, -1)
def test_updateConnectivityValues(self):
"""
Test the Graph.updateConnectivityValues() method.
"""
self.graph.updateConnectivityValues()
self.assertEqual(self.graph.vertices[0].connectivity1, 1)
self.assertEqual(self.graph.vertices[0].connectivity2, 2)
self.assertEqual(self.graph.vertices[0].connectivity3, 3)
self.assertEqual(self.graph.vertices[0].sortingLabel, -1)
self.assertEqual(self.graph.vertices[1].connectivity1, 2)
self.assertEqual(self.graph.vertices[1].connectivity2, 3)
self.assertEqual(self.graph.vertices[1].connectivity3, 6)
self.assertEqual(self.graph.vertices[1].sortingLabel, -1)
self.assertEqual(self.graph.vertices[2].connectivity1, 2)
self.assertEqual(self.graph.vertices[2].connectivity2, 4)
self.assertEqual(self.graph.vertices[2].connectivity3, 7)
self.assertEqual(self.graph.vertices[2].sortingLabel, -1)
self.assertEqual(self.graph.vertices[3].connectivity1, 2)
self.assertEqual(self.graph.vertices[3].connectivity2, 4)
self.assertEqual(self.graph.vertices[3].connectivity3, 7)
self.assertEqual(self.graph.vertices[3].sortingLabel, -1)
self.assertEqual(self.graph.vertices[4].connectivity1, 2)
self.assertEqual(self.graph.vertices[4].connectivity2, 3)
self.assertEqual(self.graph.vertices[4].connectivity3, 6)
self.assertEqual(self.graph.vertices[4].sortingLabel, -1)
self.assertEqual(self.graph.vertices[5].connectivity1, 1)
self.assertEqual(self.graph.vertices[5].connectivity2, 2)
self.assertEqual(self.graph.vertices[5].connectivity3, 3)
self.assertEqual(self.graph.vertices[5].sortingLabel, -1)
def test_sortVertices(self):
"""
Test the Graph.sortVertices() method.
"""
self.graph.updateConnectivityValues()
self.graph.sortVertices()
for vertex1, vertex2 in zip(self.graph.vertices[:-1],
self.graph.vertices[1:]):
self.assertTrue(vertex1.sortingLabel < vertex2.sortingLabel)
self.assertTrue(vertex1.connectivity3 >= vertex2.connectivity3)
self.assertTrue(vertex1.connectivity2 >= vertex2.connectivity2)
self.assertTrue(vertex1.connectivity1 >= vertex2.connectivity1)
def test_vertex_connectivity_values(self):
"""
Tests the vertex connectivity values as introduced by Morgan (1965).
First CV1 is the number of neighbours
CV2 is the sum of neighbouring CV1 values
CV3 is the sum of neighbouring CV2 values
Graph: Expected (and tested) values:
0-1-2-3-4 1-3-2-2-1 3-4-5-3-2 4-11-7-7-3
| | | |
5 1 3 4
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[1], vertices[5]),
]
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graph.updateConnectivityValues()
for i, cv_ in enumerate([1, 3, 2, 2, 1, 1]):
cv = vertices[i].connectivity1
self.assertEqual(
cv, cv_,
"On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".
format(i, cv, cv_))
for i, cv_ in enumerate([3, 4, 5, 3, 2, 3]):
cv = vertices[i].connectivity2
self.assertEqual(
cv, cv_,
"On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".
format(i, cv, cv_))
for i, cv_ in enumerate([4, 11, 7, 7, 3, 4]):
cv = vertices[i].connectivity3
self.assertEqual(
cv, cv_,
"On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".
format(i, cv, cv_))
def test_isomorphism(self):
"""
Check the graph isomorphism functions.
"""
vertices1 = [Vertex() for i in range(6)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
Edge(vertices1[3], vertices1[4]),
Edge(vertices1[4], vertices1[5]),
]
vertices2 = [Vertex() for i in range(6)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
Edge(vertices2[1], vertices2[2]),
Edge(vertices2[2], vertices2[3]),
Edge(vertices2[3], vertices2[4]),
Edge(vertices2[4], vertices2[5]),
]
graph1 = Graph()
for vertex in vertices1:
graph1.addVertex(vertex)
for edge in edges1:
graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2:
graph2.addVertex(vertex)
for edge in edges2:
graph2.addEdge(edge)
self.assertTrue(graph1.isIsomorphic(graph2))
self.assertTrue(graph1.isSubgraphIsomorphic(graph2))
self.assertTrue(graph2.isIsomorphic(graph1))
self.assertTrue(graph2.isSubgraphIsomorphic(graph1))
def test_subgraphIsomorphism(self):
"""
Check the subgraph isomorphism functions.
"""
vertices1 = [Vertex() for i in range(6)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
Edge(vertices1[3], vertices1[4]),
Edge(vertices1[4], vertices1[5]),
]
vertices2 = [Vertex() for i in range(2)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
]
graph1 = Graph()
for vertex in vertices1:
graph1.addVertex(vertex)
for edge in edges1:
graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2:
graph2.addVertex(vertex)
for edge in edges2:
graph2.addEdge(edge)
self.assertFalse(graph1.isIsomorphic(graph2))
self.assertFalse(graph2.isIsomorphic(graph1))
self.assertTrue(graph1.isSubgraphIsomorphic(graph2))
mapList = graph1.findSubgraphIsomorphisms(graph2)
self.assertTrue(len(mapList) == 10)
for mapping in mapList:
self.assertTrue(graph1.isMappingValid(graph2, mapping))
self.assertTrue(graph1.isMappingValid(graph2, mapping))
def test_pickle(self):
"""
Test that a Graph object can be successfully pickled and unpickled
with no loss of information.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph0 = Graph()
for vertex in vertices:
graph0.addVertex(vertex)
for edge in edges:
graph0.addEdge(edge)
graph0.updateConnectivityValues()
import cPickle
graph = cPickle.loads(cPickle.dumps(graph0))
self.assertEqual(len(graph0.vertices), len(graph.vertices))
for v1, v2 in zip(graph0.vertices, graph.vertices):
self.assertEqual(v1.connectivity1, v2.connectivity1)
self.assertEqual(v1.connectivity2, v2.connectivity2)
self.assertEqual(v1.connectivity3, v2.connectivity3)
self.assertEqual(v1.sortingLabel, v2.sortingLabel)
self.assertEqual(len(v1.edges), len(v2.edges))
self.assertTrue(graph0.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph0))
def test_isCyclic(self):
"""
Test the Graph.isCyclic() method.
"""
self.assertFalse(self.graph.isCyclic())
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertTrue(self.graph.isCyclic())
def test_isVertexInCycle(self):
"""
Test the Graph.isVertexInCycle() method.
"""
for vertex in self.graph.vertices:
self.assertFalse(self.graph.isVertexInCycle(vertex))
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
for vertex in self.graph.vertices[0:4]:
self.assertTrue(self.graph.isVertexInCycle(vertex))
for vertex in self.graph.vertices[4:]:
self.assertFalse(self.graph.isVertexInCycle(vertex))
def test_isEdgeInCycle(self):
"""
Test the Graph.isEdgeInCycle() method.
"""
for vertex1 in self.graph.vertices:
for vertex2, edge in vertex1.edges.items():
self.assertFalse(self.graph.isEdgeInCycle(edge))
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
for vertex1 in self.graph.vertices:
for vertex2, edge in vertex1.edges.items():
if self.graph.vertices.index(
vertex1) < 4 and self.graph.vertices.index(
vertex2) < 4:
self.assertTrue(self.graph.isEdgeInCycle(edge))
else:
self.assertFalse(self.graph.isEdgeInCycle(edge))
def test_getAllCyclicVertices(self):
self.assertListEqual(self.graph.getAllCyclicVertices(), [])
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertEqual(len(self.graph.getAllCyclicVertices()), 4)
def test_getAllPolycylicVertices(self):
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertListEqual(self.graph.getAllPolycyclicVertices(), [])
edge2 = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(
edge2) # Create another cycle to generate two fused cycles
self.assertEqual(len(self.graph.getAllPolycyclicVertices()), 2)
# Add new vertices and edges to generate a spirocyclic cycle
vertices = [Vertex() for i in range(2)]
for vertex in vertices:
self.graph.addVertex(vertex)
edges = [
Edge(self.graph.vertices[5], self.graph.vertices[6]),
Edge(self.graph.vertices[6], self.graph.vertices[7]),
Edge(self.graph.vertices[5], self.graph.vertices[7]),
]
for edge in edges:
self.graph.addEdge(edge)
self.assertEqual(len(self.graph.getAllPolycyclicVertices()), 3)
def test_getAllCycles(self):
"""
Test the Graph.getAllCycles() method.
"""
cycleList = self.graph.getAllCycles(self.graph.vertices[0])
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
cycleList = self.graph.getAllCycles(self.graph.vertices[0])
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
def test_getAllCyclesOfSize(self):
"""
Test the Graph.getRingsOfSize() method
"""
cycleList = self.graph.getAllCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(
edge
) # To create a cycle of length 6 and another cycle of length 4
cycleList = self.graph.getAllCyclesOfSize(4)
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
def test_getAllSimpleCyclesOfSize(self):
"""
Test the Graph.getAllSimpleCyclesOfSize() method.
"""
cycleList = self.graph.getAllCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(
edge
) # To create a cycle of length 6 and another cycle of length 4
cycleList = self.graph.getAllSimpleCyclesOfSize(4)
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
cycleList = self.graph.getAllSimpleCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
def test_getSmallestSetOfSmallestRings(self):
"""
Test the Graph.getSmallestSetOfSmallestRings() method.
"""
cycleList = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
cycleList = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(cycleList), 1)
self.assertEqual(len(cycleList[0]), 4)
def test_getPolycyclicRings(self):
"""
Test that the Graph.getPolycyclicRings() method returns only polycyclic rings.
"""
vertices = [Vertex() for i in range(27)]
bonds = [(0, 1), (1, 2), (2, 3), (3, 4), (4, 5), (5, 6),
(6, 7), (7, 8), (8, 9), (9, 10), (10, 11), (11, 12), (12, 13),
(13, 14), (14, 15), (14, 12), (12, 16), (16, 10), (10, 17),
(17, 18), (18, 19), (9, 20), (20, 21), (21, 7), (6, 22),
(22, 23), (22, 4), (23, 3), (23, 24), (24, 25), (25, 1)]
edges = []
for bond in bonds:
edges.append(Edge(vertices[bond[0]], vertices[bond[1]]))
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graph.updateConnectivityValues()
SSSR = graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(SSSR), 6)
polycyclicVertices = set(graph.getAllPolycyclicVertices())
expectedPolycyclicVertices = set(
[vertices[index] for index in [3, 23, 4, 22, 12]])
self.assertEqual(polycyclicVertices, expectedPolycyclicVertices)
continuousRings = graph.getPolycyclicRings()
expectedContinuousRings = [
[vertices[index] for index in [1, 2, 3, 4, 5, 6, 22, 23, 24, 25]],
#[vertices[index] for index in [7,8,9,21,20]], # This is a nonpolycyclic ring
[vertices[index] for index in [10, 11, 12, 13, 14, 16]],
]
# Convert to sets for comparison purposes
continuousRings = [set(ring) for ring in continuousRings]
expectedContinuousRings = [
set(ring) for ring in expectedContinuousRings
]
for ring in expectedContinuousRings:
self.assertTrue(ring in continuousRings)
def test_getLargestRing(self):
"""
Test that the Graph.getPolycyclicRings() method returns only polycyclic rings.
"""
vertices = [Vertex() for i in range(27)]
bonds = [(0, 1), (1, 2),
(2, 3), (3, 4), (4, 5), (5, 6), (6, 7), (9, 10), (10, 11),
(11, 12), (12, 13), (13, 14), (14, 15), (12, 16), (10, 17),
(17, 18), (18, 19), (9, 20), (20, 21), (6, 22), (22, 23),
(22, 8), (8, 4), (23, 3), (23, 24), (24, 25), (25, 1)]
edges = []
for bond in bonds:
edges.append(Edge(vertices[bond[0]], vertices[bond[1]]))
graph = Graph()
for vertex in vertices:
graph.addVertex(vertex)
for edge in edges:
graph.addEdge(edge)
graph.updateConnectivityValues()
rings = graph.getPolycyclicRings()
self.assertEqual(len(rings), 1)
#ensure the last ring doesn't include vertex 8, since it isn't in the
#longest ring. Try two different items since one might contain the vertex 8
long_ring = graph.getLargestRing(rings[0][0])
long_ring2 = graph.getLargestRing(rings[0][1])
if len(long_ring) > len(long_ring2):
longest_ring = long_ring
else:
longest_ring = long_ring2
self.assertEqual(len(longest_ring), len(rings[0]) - 1)
class TestGraph(unittest.TestCase):
"""
Contains unit tests of the Vertex, Edge, and Graph classes. Most of the
functionality of Vertex and Edge is only meaningful when part of a graph,
so we test them all together instead of having separate unit test classes
for each.
"""
def setUp(self):
"""
A function run before each unit test in this class.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
self.graph = Graph(vertices)
for edge in edges: self.graph.addEdge(edge)
def test_vertices(self):
"""
Test that the vertices attribute can be accessed.
"""
vertices = self.graph.vertices
self.assertTrue(isinstance(vertices, list))
self.assertEqual(len(vertices), 6)
def test_addVertex(self):
"""
Test the Graph.addVertex() method.
"""
vertex = Vertex()
self.graph.addVertex(vertex)
self.assertTrue(vertex in self.graph.vertices)
self.assertTrue(vertex.edges == {})
def test_addEdge(self):
"""
Test the Graph.addEdge() method.
"""
vertex1 = Vertex(); vertex2 = Vertex(); edge = Edge(vertex1, vertex2)
try:
self.graph.addEdge(edge)
self.fail('Added edge between vertices not in graph to graph.')
except ValueError:
pass
self.graph.addVertex(vertex1)
self.graph.addVertex(vertex2)
self.graph.addEdge(edge)
self.assertTrue(vertex1 in self.graph.vertices)
self.assertTrue(vertex1 in vertex2.edges)
self.assertTrue(vertex2 in self.graph.vertices)
self.assertTrue(vertex2 in vertex1.edges)
self.assertTrue(vertex1.edges[vertex2] is edge)
self.assertTrue(vertex2.edges[vertex1] is edge)
def test_getEdge(self):
"""
Test the Graph.getEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[4]
try:
edge = self.graph.getEdge(vertex1, vertex2)
self.fail('Returned an edge between vertices that should not be connected in graph.')
except ValueError:
pass
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
edge = self.graph.getEdge(vertex1, vertex2)
self.assertNotEqual(edge, None)
self.assertTrue(isinstance(edge, Edge))
self.assertTrue(vertex1.edges[vertex2] is edge)
self.assertTrue(vertex2.edges[vertex1] is edge)
def test_getEdges(self):
"""
Test the Graph.getEdges() method.
"""
vertex1 = self.graph.vertices[2]
edges = self.graph.getEdges(vertex1)
self.assertTrue(isinstance(edges, dict))
self.assertEqual(len(edges), 2)
self.assertTrue(self.graph.vertices[1] in edges)
self.assertTrue(self.graph.vertices[3] in edges)
def test_getAllEdges(self):
"""
Test the Graph.getAllEdges() method.
"""
edges = self.graph.getAllEdges()
self.assertTrue(isinstance(edges, list))
self.assertEqual(len(edges), 5)
def test_hasVertex(self):
"""
Test the Graph.hasVertex() method.
"""
vertex = Vertex()
self.assertFalse(self.graph.hasVertex(vertex))
for v in self.graph.vertices:
self.assertTrue(self.graph.hasVertex(v))
def test_hasEdge(self):
"""
Test the Graph.hasEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[4]
self.assertFalse(self.graph.hasEdge(vertex1, vertex2))
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
self.assertTrue(self.graph.hasEdge(vertex1, vertex2))
def test_removeVertex(self):
"""
Test the Graph.removeVertex() method.
"""
vertex = self.graph.vertices[2]
self.assertTrue(self.graph.hasVertex(vertex))
self.graph.removeVertex(vertex)
self.assertFalse(self.graph.hasVertex(vertex))
for v in self.graph.vertices:
self.assertFalse(vertex in v.edges)
def test_removeEdge(self):
"""
Test the Graph.removeEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
self.assertTrue(self.graph.hasEdge(vertex1, vertex2))
edge = self.graph.getEdge(vertex1, vertex2)
self.graph.removeEdge(edge)
self.assertFalse(vertex1 in vertex2.edges)
self.assertFalse(vertex2 in vertex1.edges)
def test_copy(self):
"""
Test the graph copy function to ensure a complete copy of the graph is
made while preserving vertices and edges.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graph2 = graph.copy()
for vertex in graph.vertices:
self.assertTrue(graph2.hasVertex(vertex))
for v1 in graph.vertices:
for v2 in v1.edges:
self.assertTrue(graph2.hasEdge(v1, v2))
self.assertTrue(graph2.hasEdge(v2, v1))
self.assertTrue(graph2.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph2))
def test_copyAndMap(self):
"""
Test the returned dictionary points toward equivaalent vertices and edges
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graphDict = graph.copyAndMap()
graph2 = Graph(vertices = graphDict.values())
for vertex in graph.vertices:
self.assertTrue(graph2.hasVertex(graphDict[vertex]))
for v1 in graph.vertices:
for v2 in v1.edges:
self.assertTrue(graph2.hasEdge(graphDict[v1], graphDict[v2]))
self.assertTrue(graph2.hasEdge(graphDict[v2], graphDict[v1]))
self.assertTrue(graph2.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph2))
def test_split(self):
"""
Test the graph split function to ensure a proper splitting of the graph
is being done.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graphs = graph.split()
self.assertTrue(len(graphs) == 2)
self.assertTrue(len(graphs[0].vertices) == 4 or len(graphs[0].vertices) == 2)
self.assertTrue(len(graphs[0].vertices) + len(graphs[1].vertices) == len(graph.vertices))
def test_merge(self):
"""
Test the graph merge function to ensure a proper merging of the graph
is being done.
"""
vertices1 = [Vertex() for i in range(4)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
]
vertices2 = [Vertex() for i in range(3)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
Edge(vertices2[1], vertices2[2]),
]
graph1 = Graph()
for vertex in vertices1: graph1.addVertex(vertex)
for edge in edges1: graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2: graph2.addVertex(vertex)
for edge in edges2: graph2.addEdge(edge)
graph = graph1.merge(graph2)
self.assertTrue(len(graph1.vertices) + len(graph2.vertices) == len(graph.vertices))
for vertex1 in vertices1:
self.assertTrue(vertex1 in graph.vertices)
for vertex2 in vertex1.edges:
self.assertTrue(vertex2 in graph.vertices)
for vertex2 in vertices2:
self.assertTrue(vertex2 in graph.vertices)
for vertex1 in vertex2.edges:
self.assertTrue(vertex1 in vertex2.edges)
def test_resetConnectivityValues(self):
"""
Test the Graph.resetConnectivityValues() method.
"""
self.graph.resetConnectivityValues()
for vertex in self.graph.vertices:
self.assertEqual(vertex.connectivity1, -1)
self.assertEqual(vertex.connectivity2, -1)
self.assertEqual(vertex.connectivity3, -1)
self.assertEqual(vertex.sortingLabel, -1)
def test_updateConnectivityValues(self):
"""
Test the Graph.updateConnectivityValues() method.
"""
self.graph.updateConnectivityValues()
self.assertEqual(self.graph.vertices[0].connectivity1, 1)
self.assertEqual(self.graph.vertices[0].connectivity2, 2)
self.assertEqual(self.graph.vertices[0].connectivity3, 3)
self.assertEqual(self.graph.vertices[0].sortingLabel, -1)
self.assertEqual(self.graph.vertices[1].connectivity1, 2)
self.assertEqual(self.graph.vertices[1].connectivity2, 3)
self.assertEqual(self.graph.vertices[1].connectivity3, 6)
self.assertEqual(self.graph.vertices[1].sortingLabel, -1)
self.assertEqual(self.graph.vertices[2].connectivity1, 2)
self.assertEqual(self.graph.vertices[2].connectivity2, 4)
self.assertEqual(self.graph.vertices[2].connectivity3, 7)
self.assertEqual(self.graph.vertices[2].sortingLabel, -1)
self.assertEqual(self.graph.vertices[3].connectivity1, 2)
self.assertEqual(self.graph.vertices[3].connectivity2, 4)
self.assertEqual(self.graph.vertices[3].connectivity3, 7)
self.assertEqual(self.graph.vertices[3].sortingLabel, -1)
self.assertEqual(self.graph.vertices[4].connectivity1, 2)
self.assertEqual(self.graph.vertices[4].connectivity2, 3)
self.assertEqual(self.graph.vertices[4].connectivity3, 6)
self.assertEqual(self.graph.vertices[4].sortingLabel, -1)
self.assertEqual(self.graph.vertices[5].connectivity1, 1)
self.assertEqual(self.graph.vertices[5].connectivity2, 2)
self.assertEqual(self.graph.vertices[5].connectivity3, 3)
self.assertEqual(self.graph.vertices[5].sortingLabel, -1)
def test_sortVertices(self):
"""
Test the Graph.sortVertices() method.
"""
self.graph.updateConnectivityValues()
self.graph.sortVertices()
for vertex1, vertex2 in zip(self.graph.vertices[:-1], self.graph.vertices[1:]):
self.assertTrue(vertex1.sortingLabel < vertex2.sortingLabel)
self.assertTrue(vertex1.connectivity3 >= vertex2.connectivity3)
self.assertTrue(vertex1.connectivity2 >= vertex2.connectivity2)
self.assertTrue(vertex1.connectivity1 >= vertex2.connectivity1)
def test_vertex_connectivity_values(self):
"""
Tests the vertex connectivity values as introduced by Morgan (1965).
First CV1 is the number of neighbours
CV2 is the sum of neighbouring CV1 values
CV3 is the sum of neighbouring CV2 values
Graph: Expected (and tested) values:
0-1-2-3-4 1-3-2-2-1 3-4-5-3-2 4-11-7-7-3
| | | |
5 1 3 4
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[1], vertices[5]),
]
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graph.updateConnectivityValues()
for i,cv_ in enumerate([1,3,2,2,1,1]):
cv = vertices[i].connectivity1
self.assertEqual(cv, cv_, "On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".format(i,cv,cv_))
for i,cv_ in enumerate([3,4,5,3,2,3]):
cv = vertices[i].connectivity2
self.assertEqual(cv, cv_, "On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".format(i,cv,cv_))
for i,cv_ in enumerate([4,11,7,7,3,4]):
cv = vertices[i].connectivity3
self.assertEqual(cv, cv_, "On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".format(i,cv,cv_))
def test_isomorphism(self):
"""
Check the graph isomorphism functions.
"""
vertices1 = [Vertex() for i in range(6)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
Edge(vertices1[3], vertices1[4]),
Edge(vertices1[4], vertices1[5]),
]
vertices2 = [Vertex() for i in range(6)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
Edge(vertices2[1], vertices2[2]),
Edge(vertices2[2], vertices2[3]),
Edge(vertices2[3], vertices2[4]),
Edge(vertices2[4], vertices2[5]),
]
graph1 = Graph()
for vertex in vertices1: graph1.addVertex(vertex)
for edge in edges1: graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2: graph2.addVertex(vertex)
for edge in edges2: graph2.addEdge(edge)
self.assertTrue(graph1.isIsomorphic(graph2))
self.assertTrue(graph1.isSubgraphIsomorphic(graph2))
self.assertTrue(graph2.isIsomorphic(graph1))
self.assertTrue(graph2.isSubgraphIsomorphic(graph1))
def test_isomorphism_disconnected(self):
"""
Check the graph isomorphism for broken graphs.
This tries to match graphs with a missing bond,
eg. [ 0-1-2-3-4 5 ] should match [ 0-1-2-3-4 5 ]
"""
vertices1 = [Vertex() for i in range(6)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
Edge(vertices1[3], vertices1[4]),
#Edge(vertices1[4], vertices1[5]),
]
vertices2 = [Vertex() for i in range(6)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
Edge(vertices2[1], vertices2[2]),
Edge(vertices2[2], vertices2[3]),
Edge(vertices2[3], vertices2[4]),
#Edge(vertices2[4], vertices2[5]),
]
graph1 = Graph()
for vertex in vertices1: graph1.addVertex(vertex)
for edge in edges1: graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2: graph2.addVertex(vertex)
for edge in edges2: graph2.addEdge(edge)
self.assertTrue(graph1.isIsomorphic(graph2))
self.assertTrue(graph1.isSubgraphIsomorphic(graph2))
self.assertTrue(graph2.isIsomorphic(graph1))
self.assertTrue(graph2.isSubgraphIsomorphic(graph1))
self.assertTrue(len(graph1.findSubgraphIsomorphisms(graph2)) > 0)
def test_subgraphIsomorphism(self):
"""
Check the subgraph isomorphism functions.
"""
vertices1 = [Vertex() for i in range(6)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
Edge(vertices1[3], vertices1[4]),
Edge(vertices1[4], vertices1[5]),
]
vertices2 = [Vertex() for i in range(2)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
]
graph1 = Graph()
for vertex in vertices1: graph1.addVertex(vertex)
for edge in edges1: graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2: graph2.addVertex(vertex)
for edge in edges2: graph2.addEdge(edge)
self.assertFalse(graph1.isIsomorphic(graph2))
self.assertFalse(graph2.isIsomorphic(graph1))
self.assertTrue(graph1.isSubgraphIsomorphic(graph2))
mapList = graph1.findSubgraphIsomorphisms(graph2)
self.assertTrue(len(mapList) == 10)
for mapping in mapList:
self.assertTrue( graph1.isMappingValid(graph2,mapping) )
self.assertTrue( graph1.isMappingValid(graph2,mapping) )
def test_pickle(self):
"""
Test that a Graph object can be successfully pickled and unpickled
with no loss of information.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph0 = Graph()
for vertex in vertices: graph0.addVertex(vertex)
for edge in edges: graph0.addEdge(edge)
graph0.updateConnectivityValues()
import cPickle
graph = cPickle.loads(cPickle.dumps(graph0))
self.assertEqual(len(graph0.vertices), len(graph.vertices))
for v1, v2 in zip(graph0.vertices, graph.vertices):
self.assertEqual(v1.connectivity1, v2.connectivity1)
self.assertEqual(v1.connectivity2, v2.connectivity2)
self.assertEqual(v1.connectivity3, v2.connectivity3)
self.assertEqual(v1.sortingLabel, v2.sortingLabel)
self.assertEqual(len(v1.edges), len(v2.edges))
self.assertTrue(graph0.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph0))
def test_isCyclic(self):
"""
Test the Graph.isCyclic() method.
"""
self.assertFalse(self.graph.isCyclic())
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertTrue(self.graph.isCyclic())
def test_isVertexInCycle(self):
"""
Test the Graph.isVertexInCycle() method.
"""
for vertex in self.graph.vertices:
self.assertFalse(self.graph.isVertexInCycle(vertex))
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
for vertex in self.graph.vertices[0:4]:
self.assertTrue(self.graph.isVertexInCycle(vertex))
for vertex in self.graph.vertices[4:]:
self.assertFalse(self.graph.isVertexInCycle(vertex))
def test_isEdgeInCycle(self):
"""
Test the Graph.isEdgeInCycle() method.
"""
for vertex1 in self.graph.vertices:
for vertex2, edge in vertex1.edges.items():
self.assertFalse(self.graph.isEdgeInCycle(edge))
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
for vertex1 in self.graph.vertices:
for vertex2, edge in vertex1.edges.items():
if self.graph.vertices.index(vertex1) < 4 and self.graph.vertices.index(vertex2) < 4:
self.assertTrue(self.graph.isEdgeInCycle(edge))
else:
self.assertFalse(self.graph.isEdgeInCycle(edge))
def test_getAllCyclicVertices(self):
self.assertListEqual(self.graph.getAllCyclicVertices(), [])
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertEqual(len(self.graph.getAllCyclicVertices()), 4)
def test_getAllPolycylicVertices(self):
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertListEqual(self.graph.getAllPolycyclicVertices(), [])
edge2 = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(edge2) # Create another cycle to generate two fused cycles
self.assertEqual(len(self.graph.getAllPolycyclicVertices()), 2)
# Add new vertices and edges to generate a spirocyclic cycle
vertices = [Vertex() for i in range(2)]
for vertex in vertices: self.graph.addVertex(vertex)
edges = [
Edge(self.graph.vertices[5], self.graph.vertices[6]),
Edge(self.graph.vertices[6], self.graph.vertices[7]),
Edge(self.graph.vertices[5], self.graph.vertices[7]),
]
for edge in edges: self.graph.addEdge(edge)
self.assertEqual(len(self.graph.getAllPolycyclicVertices()), 3)
def test_getAllCycles(self):
"""
Test the Graph.getAllCycles() method.
"""
cycleList = self.graph.getAllCycles(self.graph.vertices[0])
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
cycleList = self.graph.getAllCycles(self.graph.vertices[0])
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
def test_getAllCyclesOfSize(self):
"""
Test the Graph.getRingsOfSize() method
"""
cycleList = self.graph.getAllCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(edge) # To create a cycle of length 6 and another cycle of length 4
cycleList = self.graph.getAllCyclesOfSize(4)
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
def test_getAllSimpleCyclesOfSize(self):
"""
Test the Graph.getAllSimpleCyclesOfSize() method.
"""
cycleList = self.graph.getAllCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(edge) # To create a cycle of length 6 and another cycle of length 4
cycleList = self.graph.getAllSimpleCyclesOfSize(4)
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
cycleList = self.graph.getAllSimpleCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
def test_getSmallestSetOfSmallestRings(self):
"""
Test the Graph.getSmallestSetOfSmallestRings() method.
"""
cycleList = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
cycleList = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(cycleList), 1)
self.assertEqual(len(cycleList[0]), 4)
def test_getRelevantCycles(self):
"""
Test the Graph.getRelevantCycles() method.
"""
cycleList = self.graph.getRelevantCycles()
self.assertEqual(len(cycleList), 0)
# Create a cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge)
# Create a second cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(edge)
# Create a bridge forming multiple cycles of length 4
edge = Edge(self.graph.vertices[1], self.graph.vertices[4])
self.graph.addEdge(edge)
# SSSR should be 3 cycles of length 4
cycleList = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(cycleList), 3)
sizeList = sorted([len(cycle) for cycle in cycleList])
self.assertEqual(sizeList, [4, 4, 4])
# RC should be 5 cycles of length 4
cycleList = self.graph.getRelevantCycles()
self.assertEqual(len(cycleList), 5)
sizeList = sorted([len(cycle) for cycle in cycleList])
self.assertEqual(sizeList, [4, 4, 4, 4, 4])
def test_cycleListOrderSSSR(self):
"""
Test that getSmallestSetOfSmallestRings return vertices in the proper order.
There are methods such as symmetry and molecule drawing which rely
on the fact that subsequent list entries are connected.
"""
# Create a cycle of length 5
edge = Edge(self.graph.vertices[0], self.graph.vertices[4])
self.graph.addEdge(edge)
# Test SSSR
sssr = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(sssr), 1)
self.assertEqual(len(sssr[0]), 5)
for i in range(5):
self.assertTrue(self.graph.hasEdge(sssr[0][i], sssr[0][i - 1]))
def test_cycleListOrderRC(self):
"""
Test that getRelevantCycles return vertices in the proper order.
There are methods such as symmetry and molecule drawing which rely
on the fact that subsequent list entries are connected.
"""
# Create a cycle of length 5
edge = Edge(self.graph.vertices[0], self.graph.vertices[4])
self.graph.addEdge(edge)
# Test RC
rc = self.graph.getRelevantCycles()
self.assertEqual(len(rc), 1)
self.assertEqual(len(rc[0]), 5)
for i in range(5):
self.assertTrue(self.graph.hasEdge(rc[0][i], rc[0][i - 1]))
def test_getPolycyclicRings(self):
"""
Test that the Graph.getPolycyclicRings() method returns only polycyclic rings.
"""
vertices = [Vertex() for i in range(27)]
bonds = [
(0,1),
(1,2),
(2,3),
(3,4),
(4,5),
(5,6),
(6,7),
(7,8),
(8,9),
(9,10),
(10,11),
(11,12),
(12,13),
(13,14),
(14,15),
(14,12),
(12,16),
(16,10),
(10,17),
(17,18),
(18,19),
(9,20),
(20,21),
(21,7),
(6,22),
(22,23),
(22,4),
(23,3),
(23,24),
(24,25),
(25,1)
]
edges = []
for bond in bonds:
edges.append(Edge(vertices[bond[0]], vertices[bond[1]]))
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graph.updateConnectivityValues()
SSSR = graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(SSSR),6)
polycyclicVertices = set(graph.getAllPolycyclicVertices())
expectedPolycyclicVertices = set([vertices[index] for index in [3,23,4,22,12]])
self.assertEqual(polycyclicVertices, expectedPolycyclicVertices)
continuousRings = graph.getPolycyclicRings()
expectedContinuousRings = [[vertices[index] for index in [1,2,3,4,5,6,22,23,24,25]],
#[vertices[index] for index in [7,8,9,21,20]], # This is a nonpolycyclic ring
[vertices[index] for index in [10,11,12,13,14,16]],
]
# Convert to sets for comparison purposes
continuousRings = [set(ring) for ring in continuousRings]
expectedContinuousRings = [set(ring) for ring in expectedContinuousRings]
for ring in expectedContinuousRings:
self.assertTrue(ring in continuousRings)
def test_getMaxCycleOverlap(self):
"""
Test that getMaxCycleOverlap returns the correct overlap numbers
for different graphs.
"""
def make_graph(edge_inds):
nvert = max(max(inds) for inds in edge_inds) + 1
vertices = [Vertex() for _ in range(nvert)]
graph = Graph(vertices)
for idx1, idx2 in edge_inds:
graph.addEdge(Edge(vertices[idx1], vertices[idx2]))
return graph
linear = make_graph([(0, 1), (1, 2)])
mono = make_graph([(0, 1), (0, 2), (1, 2), (2, 3), (3, 4), (3, 5), (4, 5)])
spiro = make_graph([(0, 1), (0, 2), (1, 2), (2, 3), (2, 4), (3, 4)])
fused = make_graph([(0, 1), (0, 2), (1, 2), (1, 3), (2, 3)])
bridged = make_graph([(0, 1), (0, 2), (1, 3), (1, 4), (2, 3), (2, 5), (4, 5)])
cube = make_graph([(0, 1), (0, 2), (0, 4), (1, 3), (1, 5), (2, 3),
(2, 6), (3, 7), (4, 5), (4, 6), (5, 7), (6, 7)])
self.assertEqual(linear.getMaxCycleOverlap(), 0)
self.assertEqual(mono.getMaxCycleOverlap(), 0)
self.assertEqual(spiro.getMaxCycleOverlap(), 1)
self.assertEqual(fused.getMaxCycleOverlap(), 2)
self.assertEqual(bridged.getMaxCycleOverlap(), 3)
# With the current algorithm for maximum overlap determination, a cube
# only has an overlap of 2, because the set of relevant cycles
# contains the six four-membered faces. This could be changed in the
# future.
self.assertEqual(cube.getMaxCycleOverlap(), 2)
def test_getLargestRing(self):
"""
Test that the Graph.getPolycyclicRings() method returns only polycyclic rings.
"""
vertices = [Vertex() for i in range(27)]
bonds = [
(0,1),
(1,2),
(2,3),
(3,4),
(4,5),
(5,6),
(6,7),
(9,10),
(10,11),
(11,12),
(12,13),
(13,14),
(14,15),
(12,16),
(10,17),
(17,18),
(18,19),
(9,20),
(20,21),
(6,22),
(22,23),
(22,8),
(8,4),
(23,3),
(23,24),
(24,25),
(25,1)
]
edges = []
for bond in bonds:
edges.append(Edge(vertices[bond[0]], vertices[bond[1]]))
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graph.updateConnectivityValues()
rings = graph.getPolycyclicRings()
self.assertEqual(len(rings), 1)
#ensure the last ring doesn't include vertex 8, since it isn't in the
#longest ring. Try two different items since one might contain the vertex 8
long_ring = graph.getLargestRing(rings[0][0])
long_ring2 = graph.getLargestRing(rings[0][1])
if len(long_ring) > len(long_ring2):
longest_ring = long_ring
else:
longest_ring = long_ring2
self.assertEqual(len(longest_ring), len(rings[0]) - 1)
def testSortCyclicVertices(self):
"""Test that _sortCyclicVertices works properly for a valid input."""
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(edge) # To create a cycle
# Sort the vertices
original = list(self.graph.vertices)
ordered = self.graph._sortCyclicVertices(original)
# Check that we didn't lose any vertices
self.assertEqual(len(self.graph.vertices), len(ordered), 'Sorting changed the number of vertices.')
# Check that the order is different
self.assertNotEqual(self.graph.vertices, ordered, 'Sorting did not change the order of vertices.')
# Check that subsequent vertices are connected
for i in range(5):
self.assertTrue(self.graph.hasEdge(ordered[i], ordered[i - 1]))
def testSortCyclicVerticesInvalid(self):
"""Test that _sortCyclicVertices raises an error for an invalid input."""
edge = Edge(self.graph.vertices[0], self.graph.vertices[4])
self.graph.addEdge(edge) # To create a cycle
original = list(self.graph.vertices)
with self.assertRaisesRegexp(RuntimeError, 'do not comprise a single cycle'):
self.graph._sortCyclicVertices(original)
def testSortCyclicVerticesNoncyclic(self):
"""Test that _sortCyclicVertices raises an error for a noncyclic input."""
original = list(self.graph.vertices)
with self.assertRaisesRegexp(RuntimeError, 'do not comprise a single cycle'):
self.graph._sortCyclicVertices(original)
def testSortCyclicVerticesUnconnected(self):
"""Test that _sortCyclicVertices raises an error for an unconnected input."""
self.graph.addVertex(Vertex())
original = list(self.graph.vertices)
with self.assertRaisesRegexp(RuntimeError, 'not all vertices are connected'):
self.graph._sortCyclicVertices(original)
class TestGraph(unittest.TestCase):
"""
Contains unit tests of the Vertex, Edge, and Graph classes. Most of the
functionality of Vertex and Edge is only meaningful when part of a graph,
so we test them all together instead of having separate unit test classes
for each.
"""
def setUp(self):
"""
A function run before each unit test in this class.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
self.graph = Graph()
for vertex in vertices: self.graph.addVertex(vertex)
for edge in edges: self.graph.addEdge(edge)
def test_addVertex(self):
"""
Test the Graph.addVertex() method.
"""
vertex = Vertex()
self.graph.addVertex(vertex)
self.assertTrue(vertex in self.graph.vertices)
self.assertTrue(vertex.edges == {})
def test_addEdge(self):
"""
Test the Graph.addEdge() method.
"""
vertex1 = Vertex(); vertex2 = Vertex(); edge = Edge(vertex1, vertex2)
try:
self.graph.addEdge(edge)
self.fail('Added edge between vertices not in graph to graph.')
except ValueError:
pass
self.graph.addVertex(vertex1)
self.graph.addVertex(vertex2)
self.graph.addEdge(edge)
self.assertTrue(vertex1 in self.graph.vertices)
self.assertTrue(vertex1 in vertex2.edges)
self.assertTrue(vertex2 in self.graph.vertices)
self.assertTrue(vertex2 in vertex1.edges)
self.assertTrue(vertex1.edges[vertex2] is edge)
self.assertTrue(vertex2.edges[vertex1] is edge)
def test_getEdge(self):
"""
Test the Graph.getEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[4]
try:
edge = self.graph.getEdge(vertex1, vertex2)
self.fail('Returned an edge between vertices that should not be connected in graph.')
except ValueError:
pass
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
edge = self.graph.getEdge(vertex1, vertex2)
self.assertNotEqual(edge, None)
self.assertTrue(isinstance(edge, Edge))
self.assertTrue(vertex1.edges[vertex2] is edge)
self.assertTrue(vertex2.edges[vertex1] is edge)
def test_getEdges(self):
"""
Test the Graph.getEdges() method.
"""
vertex1 = self.graph.vertices[2]
edges = self.graph.getEdges(vertex1)
self.assertTrue(isinstance(edges, dict))
self.assertEqual(len(edges), 2)
self.assertTrue(self.graph.vertices[1] in edges)
self.assertTrue(self.graph.vertices[3] in edges)
def test_hasVertex(self):
"""
Test the Graph.hasVertex() method.
"""
vertex = Vertex()
self.assertFalse(self.graph.hasVertex(vertex))
for v in self.graph.vertices:
self.assertTrue(self.graph.hasVertex(v))
def test_hasEdge(self):
"""
Test the Graph.hasEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[4]
self.assertFalse(self.graph.hasEdge(vertex1, vertex2))
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
self.assertTrue(self.graph.hasEdge(vertex1, vertex2))
def test_removeVertex(self):
"""
Test the Graph.removeVertex() method.
"""
vertex = self.graph.vertices[2]
self.assertTrue(self.graph.hasVertex(vertex))
self.graph.removeVertex(vertex)
self.assertFalse(self.graph.hasVertex(vertex))
for v in self.graph.vertices:
self.assertFalse(vertex in v.edges)
def test_removeEdge(self):
"""
Test the Graph.removeEdge() method.
"""
vertex1 = self.graph.vertices[2]
vertex2 = self.graph.vertices[3]
self.assertTrue(self.graph.hasEdge(vertex1, vertex2))
edge = self.graph.getEdge(vertex1, vertex2)
self.graph.removeEdge(edge)
self.assertFalse(vertex1 in vertex2.edges)
self.assertFalse(vertex2 in vertex1.edges)
def test_copy(self):
"""
Test the graph copy function to ensure a complete copy of the graph is
made while preserving vertices and edges.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graph2 = graph.copy()
for vertex in graph.vertices:
self.assertTrue(graph2.hasVertex(vertex))
for v1 in graph.vertices:
for v2 in v1.edges:
self.assertTrue(graph2.hasEdge(v1, v2))
self.assertTrue(graph2.hasEdge(v2, v1))
self.assertTrue(graph2.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph2))
def test_copyAndMap(self):
"""
Test the returned dictionary points toward equivaalent vertices and edges
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graphDict = graph.copyAndMap()
graph2 = Graph(vertices = graphDict.values())
for vertex in graph.vertices:
self.assertTrue(graph2.hasVertex(graphDict[vertex]))
for v1 in graph.vertices:
for v2 in v1.edges:
self.assertTrue(graph2.hasEdge(graphDict[v1], graphDict[v2]))
self.assertTrue(graph2.hasEdge(graphDict[v2], graphDict[v1]))
self.assertTrue(graph2.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph2))
def test_split(self):
"""
Test the graph split function to ensure a proper splitting of the graph
is being done.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[4], vertices[5]),
]
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graphs = graph.split()
self.assertTrue(len(graphs) == 2)
self.assertTrue(len(graphs[0].vertices) == 4 or len(graphs[0].vertices) == 2)
self.assertTrue(len(graphs[0].vertices) + len(graphs[1].vertices) == len(graph.vertices))
def test_merge(self):
"""
Test the graph merge function to ensure a proper merging of the graph
is being done.
"""
vertices1 = [Vertex() for i in range(4)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
]
vertices2 = [Vertex() for i in range(3)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
Edge(vertices2[1], vertices2[2]),
]
graph1 = Graph()
for vertex in vertices1: graph1.addVertex(vertex)
for edge in edges1: graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2: graph2.addVertex(vertex)
for edge in edges2: graph2.addEdge(edge)
graph = graph1.merge(graph2)
self.assertTrue(len(graph1.vertices) + len(graph2.vertices) == len(graph.vertices))
for vertex1 in vertices1:
self.assertTrue(vertex1 in graph.vertices)
for vertex2 in vertex1.edges:
self.assertTrue(vertex2 in graph.vertices)
for vertex2 in vertices2:
self.assertTrue(vertex2 in graph.vertices)
for vertex1 in vertex2.edges:
self.assertTrue(vertex1 in vertex2.edges)
def test_resetConnectivityValues(self):
"""
Test the Graph.resetConnectivityValues() method.
"""
self.graph.resetConnectivityValues()
for vertex in self.graph.vertices:
self.assertEqual(vertex.connectivity1, -1)
self.assertEqual(vertex.connectivity2, -1)
self.assertEqual(vertex.connectivity3, -1)
self.assertEqual(vertex.sortingLabel, -1)
def test_updateConnectivityValues(self):
"""
Test the Graph.updateConnectivityValues() method.
"""
self.graph.updateConnectivityValues()
self.assertEqual(self.graph.vertices[0].connectivity1, 1)
self.assertEqual(self.graph.vertices[0].connectivity2, 2)
self.assertEqual(self.graph.vertices[0].connectivity3, 3)
self.assertEqual(self.graph.vertices[0].sortingLabel, -1)
self.assertEqual(self.graph.vertices[1].connectivity1, 2)
self.assertEqual(self.graph.vertices[1].connectivity2, 3)
self.assertEqual(self.graph.vertices[1].connectivity3, 6)
self.assertEqual(self.graph.vertices[1].sortingLabel, -1)
self.assertEqual(self.graph.vertices[2].connectivity1, 2)
self.assertEqual(self.graph.vertices[2].connectivity2, 4)
self.assertEqual(self.graph.vertices[2].connectivity3, 7)
self.assertEqual(self.graph.vertices[2].sortingLabel, -1)
self.assertEqual(self.graph.vertices[3].connectivity1, 2)
self.assertEqual(self.graph.vertices[3].connectivity2, 4)
self.assertEqual(self.graph.vertices[3].connectivity3, 7)
self.assertEqual(self.graph.vertices[3].sortingLabel, -1)
self.assertEqual(self.graph.vertices[4].connectivity1, 2)
self.assertEqual(self.graph.vertices[4].connectivity2, 3)
self.assertEqual(self.graph.vertices[4].connectivity3, 6)
self.assertEqual(self.graph.vertices[4].sortingLabel, -1)
self.assertEqual(self.graph.vertices[5].connectivity1, 1)
self.assertEqual(self.graph.vertices[5].connectivity2, 2)
self.assertEqual(self.graph.vertices[5].connectivity3, 3)
self.assertEqual(self.graph.vertices[5].sortingLabel, -1)
def test_sortVertices(self):
"""
Test the Graph.sortVertices() method.
"""
self.graph.updateConnectivityValues()
self.graph.sortVertices()
for vertex1, vertex2 in zip(self.graph.vertices[:-1], self.graph.vertices[1:]):
self.assertTrue(vertex1.sortingLabel < vertex2.sortingLabel)
self.assertTrue(vertex1.connectivity3 >= vertex2.connectivity3)
self.assertTrue(vertex1.connectivity2 >= vertex2.connectivity2)
self.assertTrue(vertex1.connectivity1 >= vertex2.connectivity1)
def test_vertex_connectivity_values(self):
"""
Tests the vertex connectivity values as introduced by Morgan (1965).
First CV1 is the number of neighbours
CV2 is the sum of neighbouring CV1 values
CV3 is the sum of neighbouring CV2 values
Graph: Expected (and tested) values:
0-1-2-3-4 1-3-2-2-1 3-4-5-3-2 4-11-7-7-3
| | | |
5 1 3 4
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[1], vertices[5]),
]
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graph.updateConnectivityValues()
for i,cv_ in enumerate([1,3,2,2,1,1]):
cv = vertices[i].connectivity1
self.assertEqual(cv, cv_, "On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".format(i,cv,cv_))
for i,cv_ in enumerate([3,4,5,3,2,3]):
cv = vertices[i].connectivity2
self.assertEqual(cv, cv_, "On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".format(i,cv,cv_))
for i,cv_ in enumerate([4,11,7,7,3,4]):
cv = vertices[i].connectivity3
self.assertEqual(cv, cv_, "On vertex {0:d} got connectivity[0]={1:d} but expected {2:d}".format(i,cv,cv_))
def test_isomorphism(self):
"""
Check the graph isomorphism functions.
"""
vertices1 = [Vertex() for i in range(6)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
Edge(vertices1[3], vertices1[4]),
Edge(vertices1[4], vertices1[5]),
]
vertices2 = [Vertex() for i in range(6)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
Edge(vertices2[1], vertices2[2]),
Edge(vertices2[2], vertices2[3]),
Edge(vertices2[3], vertices2[4]),
Edge(vertices2[4], vertices2[5]),
]
graph1 = Graph()
for vertex in vertices1: graph1.addVertex(vertex)
for edge in edges1: graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2: graph2.addVertex(vertex)
for edge in edges2: graph2.addEdge(edge)
self.assertTrue(graph1.isIsomorphic(graph2))
self.assertTrue(graph1.isSubgraphIsomorphic(graph2))
self.assertTrue(graph2.isIsomorphic(graph1))
self.assertTrue(graph2.isSubgraphIsomorphic(graph1))
def test_subgraphIsomorphism(self):
"""
Check the subgraph isomorphism functions.
"""
vertices1 = [Vertex() for i in range(6)]
edges1 = [
Edge(vertices1[0], vertices1[1]),
Edge(vertices1[1], vertices1[2]),
Edge(vertices1[2], vertices1[3]),
Edge(vertices1[3], vertices1[4]),
Edge(vertices1[4], vertices1[5]),
]
vertices2 = [Vertex() for i in range(2)]
edges2 = [
Edge(vertices2[0], vertices2[1]),
]
graph1 = Graph()
for vertex in vertices1: graph1.addVertex(vertex)
for edge in edges1: graph1.addEdge(edge)
graph2 = Graph()
for vertex in vertices2: graph2.addVertex(vertex)
for edge in edges2: graph2.addEdge(edge)
self.assertFalse(graph1.isIsomorphic(graph2))
self.assertFalse(graph2.isIsomorphic(graph1))
self.assertTrue(graph1.isSubgraphIsomorphic(graph2))
mapList = graph1.findSubgraphIsomorphisms(graph2)
self.assertTrue(len(mapList) == 10)
for mapping in mapList:
self.assertTrue( graph1.isMappingValid(graph2,mapping) )
self.assertTrue( graph1.isMappingValid(graph2,mapping) )
def test_pickle(self):
"""
Test that a Graph object can be successfully pickled and unpickled
with no loss of information.
"""
vertices = [Vertex() for i in range(6)]
edges = [
Edge(vertices[0], vertices[1]),
Edge(vertices[1], vertices[2]),
Edge(vertices[2], vertices[3]),
Edge(vertices[3], vertices[4]),
Edge(vertices[4], vertices[5]),
]
graph0 = Graph()
for vertex in vertices: graph0.addVertex(vertex)
for edge in edges: graph0.addEdge(edge)
graph0.updateConnectivityValues()
import cPickle
graph = cPickle.loads(cPickle.dumps(graph0))
self.assertEqual(len(graph0.vertices), len(graph.vertices))
for v1, v2 in zip(graph0.vertices, graph.vertices):
self.assertEqual(v1.connectivity1, v2.connectivity1)
self.assertEqual(v1.connectivity2, v2.connectivity2)
self.assertEqual(v1.connectivity3, v2.connectivity3)
self.assertEqual(v1.sortingLabel, v2.sortingLabel)
self.assertEqual(len(v1.edges), len(v2.edges))
self.assertTrue(graph0.isIsomorphic(graph))
self.assertTrue(graph.isIsomorphic(graph0))
def test_isCyclic(self):
"""
Test the Graph.isCyclic() method.
"""
self.assertFalse(self.graph.isCyclic())
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertTrue(self.graph.isCyclic())
def test_isVertexInCycle(self):
"""
Test the Graph.isVertexInCycle() method.
"""
for vertex in self.graph.vertices:
self.assertFalse(self.graph.isVertexInCycle(vertex))
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
for vertex in self.graph.vertices[0:4]:
self.assertTrue(self.graph.isVertexInCycle(vertex))
for vertex in self.graph.vertices[4:]:
self.assertFalse(self.graph.isVertexInCycle(vertex))
def test_isEdgeInCycle(self):
"""
Test the Graph.isEdgeInCycle() method.
"""
for vertex1 in self.graph.vertices:
for vertex2, edge in vertex1.edges.items():
self.assertFalse(self.graph.isEdgeInCycle(edge))
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
for vertex1 in self.graph.vertices:
for vertex2, edge in vertex1.edges.items():
if self.graph.vertices.index(vertex1) < 4 and self.graph.vertices.index(vertex2) < 4:
self.assertTrue(self.graph.isEdgeInCycle(edge))
else:
self.assertFalse(self.graph.isEdgeInCycle(edge))
def test_getAllCyclicVertices(self):
self.assertListEqual(self.graph.getAllCyclicVertices(), [])
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertEqual(len(self.graph.getAllCyclicVertices()), 4)
def test_getAllPolycylicVertices(self):
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
self.assertListEqual(self.graph.getAllPolycyclicVertices(), [])
edge2 = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(edge2) # Create another cycle to generate two fused cycles
self.assertEqual(len(self.graph.getAllPolycyclicVertices()), 2)
# Add new vertices and edges to generate a spirocyclic cycle
vertices = [Vertex() for i in range(2)]
for vertex in vertices: self.graph.addVertex(vertex)
edges = [
Edge(self.graph.vertices[5], self.graph.vertices[6]),
Edge(self.graph.vertices[6], self.graph.vertices[7]),
Edge(self.graph.vertices[5], self.graph.vertices[7]),
]
for edge in edges: self.graph.addEdge(edge)
self.assertEqual(len(self.graph.getAllPolycyclicVertices()), 3)
def test_getAllCycles(self):
"""
Test the Graph.getAllCycles() method.
"""
cycleList = self.graph.getAllCycles(self.graph.vertices[0])
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
cycleList = self.graph.getAllCycles(self.graph.vertices[0])
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
def test_getAllCyclesOfSize(self):
"""
Test the Graph.getRingsOfSize() method
"""
cycleList = self.graph.getAllCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(edge) # To create a cycle of length 6 and another cycle of length 4
cycleList = self.graph.getAllCyclesOfSize(4)
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
def test_getAllSimpleCyclesOfSize(self):
"""
Test the Graph.getAllSimpleCyclesOfSize() method.
"""
cycleList = self.graph.getAllCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle of length 4
edge = Edge(self.graph.vertices[0], self.graph.vertices[5])
self.graph.addEdge(edge) # To create a cycle of length 6 and another cycle of length 4
cycleList = self.graph.getAllSimpleCyclesOfSize(4)
self.assertEqual(len(cycleList), 2)
self.assertEqual(len(cycleList[0]), 4)
self.assertEqual(len(cycleList[1]), 4)
cycleList = self.graph.getAllSimpleCyclesOfSize(6)
self.assertEqual(len(cycleList), 0)
def test_getSmallestSetOfSmallestRings(self):
"""
Test the Graph.getSmallestSetOfSmallestRings() method.
"""
cycleList = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(cycleList), 0)
edge = Edge(self.graph.vertices[0], self.graph.vertices[3])
self.graph.addEdge(edge) # To create a cycle
cycleList = self.graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(cycleList), 1)
self.assertEqual(len(cycleList[0]), 4)
def test_getPolycyclicRings(self):
"""
Test that the Graph.getPolycyclicRings() method returns only polycyclic rings.
"""
vertices = [Vertex() for i in range(27)]
bonds = [
(0,1),
(1,2),
(2,3),
(3,4),
(4,5),
(5,6),
(6,7),
(7,8),
(8,9),
(9,10),
(10,11),
(11,12),
(12,13),
(13,14),
(14,15),
(14,12),
(12,16),
(16,10),
(10,17),
(17,18),
(18,19),
(9,20),
(20,21),
(21,7),
(6,22),
(22,23),
(22,4),
(23,3),
(23,24),
(24,25),
(25,1)
]
edges = []
for bond in bonds:
edges.append(Edge(vertices[bond[0]], vertices[bond[1]]))
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graph.updateConnectivityValues()
SSSR = graph.getSmallestSetOfSmallestRings()
self.assertEqual(len(SSSR),6)
polycyclicVertices = set(graph.getAllPolycyclicVertices())
expectedPolycyclicVertices = set([vertices[index] for index in [3,23,4,22,12]])
self.assertEqual(polycyclicVertices, expectedPolycyclicVertices)
continuousRings = graph.getPolycyclicRings()
expectedContinuousRings = [[vertices[index] for index in [1,2,3,4,5,6,22,23,24,25]],
#[vertices[index] for index in [7,8,9,21,20]], # This is a nonpolycyclic ring
[vertices[index] for index in [10,11,12,13,14,16]],
]
# Convert to sets for comparison purposes
continuousRings = [set(ring) for ring in continuousRings]
expectedContinuousRings = [set(ring) for ring in expectedContinuousRings]
for ring in expectedContinuousRings:
self.assertTrue(ring in continuousRings)
def test_getLargestRing(self):
"""
Test that the Graph.getPolycyclicRings() method returns only polycyclic rings.
"""
vertices = [Vertex() for i in range(27)]
bonds = [
(0,1),
(1,2),
(2,3),
(3,4),
(4,5),
(5,6),
(6,7),
(9,10),
(10,11),
(11,12),
(12,13),
(13,14),
(14,15),
(12,16),
(10,17),
(17,18),
(18,19),
(9,20),
(20,21),
(6,22),
(22,23),
(22,8),
(8,4),
(23,3),
(23,24),
(24,25),
(25,1)
]
edges = []
for bond in bonds:
edges.append(Edge(vertices[bond[0]], vertices[bond[1]]))
graph = Graph()
for vertex in vertices: graph.addVertex(vertex)
for edge in edges: graph.addEdge(edge)
graph.updateConnectivityValues()
rings = graph.getPolycyclicRings()
self.assertEqual(len(rings), 1)
#ensure the last ring doesn't include vertex 8, since it isn't in the
#longest ring. Try two different items since one might contain the vertex 8
long_ring = graph.getLargestRing(rings[0][0])
long_ring2 = graph.getLargestRing(rings[0][1])
if len(long_ring) > len(long_ring2):
longest_ring = long_ring
else:
longest_ring = long_ring2
self.assertEqual(len(longest_ring), len(rings[0]) - 1)