/** . */
public void testStronglyConnected3() {
DirectedGraph<String, DefaultEdge> g =
new DefaultDirectedGraph<String, DefaultEdge>(DefaultEdge.class);
g.addVertex(V1);
g.addVertex(V2);
g.addVertex(V3);
g.addVertex(V4);
g.addEdge(V1, V2);
g.addEdge(V2, V3);
g.addEdge(V3, V1); // strongly connected
g.addEdge(V1, V4);
g.addEdge(V2, V4);
g.addEdge(V3, V4); // weakly connected
StrongConnectivityInspector<String, DefaultEdge> inspector =
new StrongConnectivityInspector<String, DefaultEdge>(g);
// convert from List to Set because we need to ignore order
// during comparison
Set<Set<String>> actualSets = new HashSet<Set<String>>(inspector.stronglyConnectedSets());
// construct the expected answer
Set<Set<String>> expectedSets = new HashSet<Set<String>>();
Set<String> set = new HashSet<String>();
set.add(V1);
set.add(V2);
set.add(V3);
expectedSets.add(set);
set = new HashSet<String>();
set.add(V4);
expectedSets.add(set);
assertEquals(expectedSets, actualSets);
actualSets.clear();
List<DirectedSubgraph<String, DefaultEdge>> subgraphs = inspector.stronglyConnectedSubgraphs();
for (DirectedSubgraph<String, DefaultEdge> sg : subgraphs) {
actualSets.add(sg.vertexSet());
StrongConnectivityInspector<String, DefaultEdge> ci =
new StrongConnectivityInspector<String, DefaultEdge>(sg);
assertTrue(ci.isStronglyConnected());
}
assertEquals(expectedSets, actualSets);
}
private void replaceVertex(JavaClass newClass) {
List<JavaClass> incomingEdges = getParents(newClass);
graph.removeVertex(newClass);
graph.addVertex(newClass);
for (JavaClass each : incomingEdges) {
graph.addEdge(each, newClass);
}
}
private void addToGraph(JavaClass newClass) {
if (!graph.addVertex(newClass)) {
replaceVertex(newClass);
}
}
@Test
public void testExhaustive() {
/* DET-1:
*
* 0 3
* | /| 0 2
* g1 = | 2 | g2 = |/
* |/ | 1
* 1 4
*/
SimpleGraph<Integer, DefaultEdge> g1 = new SimpleGraph<>(DefaultEdge.class),
g2 = new SimpleGraph<>(DefaultEdge.class);
g1.addVertex(0);
g1.addVertex(1);
g1.addVertex(2);
g1.addVertex(3);
g1.addVertex(4);
g2.addVertex(0);
g2.addVertex(1);
g2.addVertex(2);
g1.addEdge(0, 1);
g1.addEdge(1, 2);
g1.addEdge(2, 3);
g1.addEdge(3, 4);
g2.addEdge(0, 1);
g2.addEdge(1, 2);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf2 =
new VF2SubgraphIsomorphismInspector<>(g1, g2);
assertEquals(true, SubgraphIsomorphismTestUtils.containsAllMatchings(vf2, g1, g2));
/* DET-2:
*
* g3 = ... g4 = ...
*
*/
DirectedGraph<Integer, DefaultEdge> g3 = new DefaultDirectedGraph<>(DefaultEdge.class),
g4 = new DefaultDirectedGraph<>(DefaultEdge.class);
g3.addVertex(0);
g3.addVertex(1);
g3.addVertex(2);
g3.addVertex(3);
g3.addVertex(4);
g3.addVertex(5);
g4.addVertex(0);
g4.addVertex(1);
g4.addVertex(2);
g4.addVertex(3);
g3.addEdge(0, 1);
g3.addEdge(0, 5);
g3.addEdge(1, 4);
g3.addEdge(2, 1);
g3.addEdge(2, 4);
g3.addEdge(3, 1);
g3.addEdge(4, 0);
g3.addEdge(5, 2);
g3.addEdge(5, 4);
g4.addEdge(0, 3);
g4.addEdge(1, 2);
g4.addEdge(1, 3);
g4.addEdge(2, 3);
g4.addEdge(2, 0);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf3 =
new VF2SubgraphIsomorphismInspector<>(g3, g4);
assertEquals(true, SubgraphIsomorphismTestUtils.containsAllMatchings(vf3, g3, g4));
/* DET-3:
*
* 1----0 0---2
* | | /
* g5 = | g6 = | /
* | |/
* 2----3 1
*/
SimpleGraph<Integer, DefaultEdge> g5 = new SimpleGraph<>(DefaultEdge.class),
g6 = new SimpleGraph<>(DefaultEdge.class);
g5.addVertex(0);
g5.addVertex(1);
g5.addVertex(2);
g5.addVertex(3);
g6.addVertex(0);
g6.addVertex(1);
g6.addVertex(2);
g5.addEdge(0, 1);
g5.addEdge(1, 2);
g5.addEdge(2, 3);
g6.addEdge(0, 1);
g6.addEdge(1, 2);
g6.addEdge(2, 0);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf4 =
new VF2SubgraphIsomorphismInspector<>(g5, g6);
assertEquals(true, SubgraphIsomorphismTestUtils.containsAllMatchings(vf4, g5, g6));
}
/**
* Tests graph types: In case of invalid graph types or invalid combination of graph arguments
* UnsupportedOperationException or InvalidArgumentException is expected
*/
@Test
public void testGraphTypes() {
DirectedGraph<Integer, DefaultEdge> dg1 = new DefaultDirectedGraph<>(DefaultEdge.class);
dg1.addVertex(1);
dg1.addVertex(2);
dg1.addEdge(1, 2);
SimpleGraph<Integer, DefaultEdge> sg1 = new SimpleGraph<>(DefaultEdge.class);
sg1.addVertex(1);
sg1.addVertex(2);
sg1.addEdge(1, 2);
Multigraph<Integer, DefaultEdge> mg1 = new Multigraph<>(DefaultEdge.class);
mg1.addVertex(1);
mg1.addVertex(2);
mg1.addEdge(1, 2);
Pseudograph<Integer, DefaultEdge> pg1 = new Pseudograph<>(DefaultEdge.class);
pg1.addVertex(1);
pg1.addVertex(2);
pg1.addEdge(1, 2);
/* GT-0 test graph=null */
try {
@SuppressWarnings("unused")
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt0 =
new VF2SubgraphIsomorphismInspector<>(null, sg1);
Assert.fail("Expected UnsupportedOperationException");
} catch (NullPointerException ex) {
}
/* GT-1: multigraphs */
try {
@SuppressWarnings("unused")
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt1 =
new VF2SubgraphIsomorphismInspector<>(mg1, mg1);
Assert.fail("Expected UnsupportedOperationException");
} catch (UnsupportedOperationException ex) {
}
/* GT-2: pseudographs */
try {
@SuppressWarnings("unused")
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt2 =
new VF2SubgraphIsomorphismInspector<>(pg1, pg1);
Assert.fail("Expected UnsupportedOperationException");
} catch (UnsupportedOperationException ex) {
}
/* GT-3: simple graphs */
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt3 =
new VF2SubgraphIsomorphismInspector<>(sg1, sg1);
assertEquals(true, gt3.getMappings().hasNext());
/* GT-4: directed graphs */
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt4 =
new VF2SubgraphIsomorphismInspector<>(dg1, dg1);
assertEquals("[1=1 2=2]", gt4.getMappings().next().toString());
/* GT-5: simple graph + multigraph */
try {
@SuppressWarnings("unused")
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt5 =
new VF2SubgraphIsomorphismInspector<>(sg1, mg1);
Assert.fail("Expected UnsupportedOperationException");
} catch (UnsupportedOperationException ex) {
}
/* GT-6: simple graph + pseudograph */
try {
@SuppressWarnings("unused")
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt6 =
new VF2SubgraphIsomorphismInspector<>(sg1, pg1);
Assert.fail("Expected UnsupportedOperationException");
} catch (UnsupportedOperationException ex) {
}
/* GT-7: directed graph + multigraph */
try {
@SuppressWarnings("unused")
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt7 =
new VF2SubgraphIsomorphismInspector<>(dg1, mg1);
Assert.fail("Expected UnsupportedOperationException");
} catch (UnsupportedOperationException ex) {
}
/* GT-8: directed graph + pseudograph */
try {
@SuppressWarnings("unused")
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt8 =
new VF2SubgraphIsomorphismInspector<>(dg1, pg1);
Assert.fail("Expected UnsupportedOperationException");
} catch (UnsupportedOperationException ex) {
}
/* GT-9: pseudograph + multigraph */
try {
@SuppressWarnings("unused")
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt9 =
new VF2SubgraphIsomorphismInspector<>(pg1, mg1);
Assert.fail("Expected UnsupportedOperationException");
} catch (UnsupportedOperationException ex) {
}
/* GT-10: simple graph + directed graph */
try {
@SuppressWarnings("unused")
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> gt10 =
new VF2SubgraphIsomorphismInspector<>(sg1, dg1);
Assert.fail("Expected IllegalArgumentException");
} catch (IllegalArgumentException ex) {
}
}
/** Tests edge cases on directed graphs */
@Test
public void testEdgeCasesDirectedGraph() {
/* ECD-1: graph and subgraph empty */
DirectedGraph<Integer, DefaultEdge> dg0v = new DefaultDirectedGraph<>(DefaultEdge.class),
dg0v2 = new DefaultDirectedGraph<>(DefaultEdge.class);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf1 =
new VF2SubgraphIsomorphismInspector<>(dg0v, dg0v2);
assertEquals("[]", vf1.getMappings().next().toString());
/* ECD-2: graph non-empty, subgraph empty */
DirectedGraph<Integer, DefaultEdge> dg4v3e = new DefaultDirectedGraph<>(DefaultEdge.class);
dg4v3e.addVertex(1);
dg4v3e.addVertex(2);
dg4v3e.addVertex(3);
dg4v3e.addVertex(4);
dg4v3e.addEdge(1, 2);
dg4v3e.addEdge(3, 2);
dg4v3e.addEdge(3, 4);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf2 =
new VF2SubgraphIsomorphismInspector<>(dg4v3e, dg0v);
assertEquals("[1=~~ 2=~~ 3=~~ 4=~~]", vf2.getMappings().next().toString());
/* ECD-3: graph empty, subgraph non-empty */
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf3 =
new VF2SubgraphIsomorphismInspector<>(dg0v, dg4v3e);
assertEquals(false, vf3.isomorphismExists());
/* ECD-4: graph non-empty, subgraph single vertex */
DirectedGraph<Integer, DefaultEdge> dg1v = new DefaultDirectedGraph<>(DefaultEdge.class);
dg1v.addVertex(5);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf4 =
new VF2SubgraphIsomorphismInspector<>(dg4v3e, dg1v);
Iterator<GraphMapping<Integer, DefaultEdge>> iter4 = vf4.getMappings();
Set<String> mappings =
new HashSet<>(
Arrays.asList(
"[1=5 2=~~ 3=~~ 4=~~]",
"[1=~~ 2=5 3=~~ 4=~~]",
"[1=~~ 2=~~ 3=5 4=~~]",
"[1=~~ 2=~~ 3=~~ 4=5]"));
assertEquals(true, mappings.remove(iter4.next().toString()));
assertEquals(true, mappings.remove(iter4.next().toString()));
assertEquals(true, mappings.remove(iter4.next().toString()));
assertEquals(true, mappings.remove(iter4.next().toString()));
assertEquals(false, iter4.hasNext());
/* ECD-5: graph empty, subgraph single vertex */
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf5 =
new VF2SubgraphIsomorphismInspector<>(dg0v, dg1v);
assertEquals(false, vf5.isomorphismExists());
/* ECD-6: subgraph with vertices, but no edges */
DirectedGraph<Integer, DefaultEdge> dg3v0e = new DefaultDirectedGraph<>(DefaultEdge.class);
dg3v0e.addVertex(5);
dg3v0e.addVertex(6);
dg3v0e.addVertex(7);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf6 =
new VF2SubgraphIsomorphismInspector<>(dg4v3e, dg3v0e);
assertEquals(false, vf6.isomorphismExists());
/* ECD-7: graph and subgraph with vertices, but no edges */
DirectedGraph<Integer, DefaultEdge> dg2v0e = new DefaultDirectedGraph<>(DefaultEdge.class);
dg2v0e.addVertex(1);
dg2v0e.addVertex(2);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf7 =
new VF2SubgraphIsomorphismInspector<>(dg3v0e, dg2v0e);
Iterator<GraphMapping<Integer, DefaultEdge>> iter7 = vf7.getMappings();
Set<String> mappings7 =
new HashSet<>(
Arrays.asList(
"[5=1 6=2 7=~~]",
"[5=1 6=~~ 7=2]",
"[5=2 6=1 7=~~]",
"[5=~~ 6=1 7=2]",
"[5=2 6=~~ 7=1]",
"[5=~~ 6=2 7=1]"));
assertEquals(true, mappings7.remove(iter7.next().toString()));
assertEquals(true, mappings7.remove(iter7.next().toString()));
assertEquals(true, mappings7.remove(iter7.next().toString()));
assertEquals(true, mappings7.remove(iter7.next().toString()));
assertEquals(true, mappings7.remove(iter7.next().toString()));
assertEquals(true, mappings7.remove(iter7.next().toString()));
assertEquals(false, iter7.hasNext());
/* ECD-8: graph no edges, subgraph contains single edge */
DirectedGraph<Integer, DefaultEdge> dg2v1e = new DefaultDirectedGraph<>(DefaultEdge.class);
dg2v1e.addVertex(5);
dg2v1e.addVertex(6);
dg2v1e.addEdge(5, 6);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf8 =
new VF2SubgraphIsomorphismInspector<>(dg3v0e, dg2v1e);
assertEquals(false, vf8.isomorphismExists());
/* ECD-9: complete graphs of different size,
* graph smaller than subgraph */
DirectedGraph<Integer, DefaultEdge> dg5c = new DefaultDirectedGraph<>(DefaultEdge.class);
dg5c.addVertex(0);
dg5c.addVertex(1);
dg5c.addVertex(2);
dg5c.addVertex(3);
dg5c.addVertex(4);
dg5c.addEdge(0, 1);
dg5c.addEdge(0, 2);
dg5c.addEdge(0, 3);
dg5c.addEdge(0, 4);
dg5c.addEdge(1, 2);
dg5c.addEdge(1, 3);
dg5c.addEdge(1, 4);
dg5c.addEdge(2, 3);
dg5c.addEdge(2, 4);
dg5c.addEdge(3, 4);
DirectedGraph<Integer, DefaultEdge> dg4c = new DefaultDirectedGraph<>(DefaultEdge.class);
dg4c.addVertex(0);
dg4c.addVertex(1);
dg4c.addVertex(2);
dg4c.addVertex(3);
dg4c.addEdge(0, 1);
dg4c.addEdge(0, 2);
dg4c.addEdge(0, 3);
dg4c.addEdge(1, 2);
dg4c.addEdge(1, 3);
dg4c.addEdge(2, 3);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf9 =
new VF2SubgraphIsomorphismInspector<>(dg4c, dg5c);
assertEquals(false, vf9.isomorphismExists());
/* ECD-10: complete graphs of different size,
* graph bigger than subgraph */
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf10 =
new VF2SubgraphIsomorphismInspector<>(dg5c, dg4c);
Iterator<GraphMapping<Integer, DefaultEdge>> iter10 = vf10.getMappings();
Set<String> mappings10 =
new HashSet<>(
Arrays.asList(
"[0=0 1=1 2=2 3=3 4=~~]",
"[0=0 1=1 2=2 3=~~ 4=3]",
"[0=0 1=1 2=~~ 3=2 4=3]",
"[0=0 1=~~ 2=1 3=2 4=3]",
"[0=~~ 1=0 2=1 3=2 4=3]"));
assertEquals(true, mappings10.remove(iter10.next().toString()));
assertEquals(true, mappings10.remove(iter10.next().toString()));
assertEquals(true, mappings10.remove(iter10.next().toString()));
assertEquals(true, mappings10.remove(iter10.next().toString()));
assertEquals(true, mappings10.remove(iter10.next().toString()));
assertEquals(false, iter10.hasNext());
/* ECD-11: isomorphic graphs */
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf11 =
new VF2SubgraphIsomorphismInspector<>(dg4v3e, dg4v3e);
Iterator<GraphMapping<Integer, DefaultEdge>> iter11 = vf11.getMappings();
assertEquals("[1=1 2=2 3=3 4=4]", iter11.next().toString());
assertEquals(false, iter11.hasNext());
/* ECD-12: not connected graphs of different size */
DirectedGraph<Integer, DefaultEdge> dg6v4enc = new DefaultDirectedGraph<>(DefaultEdge.class);
dg6v4enc.addVertex(0);
dg6v4enc.addVertex(1);
dg6v4enc.addVertex(2);
dg6v4enc.addVertex(3);
dg6v4enc.addVertex(4);
dg6v4enc.addVertex(5);
dg6v4enc.addEdge(1, 2);
dg6v4enc.addEdge(2, 3);
dg6v4enc.addEdge(3, 1);
dg6v4enc.addEdge(4, 5);
DirectedGraph<Integer, DefaultEdge> dg5v4enc = new DefaultDirectedGraph<>(DefaultEdge.class);
dg5v4enc.addVertex(6);
dg5v4enc.addVertex(7);
dg5v4enc.addVertex(8);
dg5v4enc.addVertex(9);
dg5v4enc.addVertex(10);
dg5v4enc.addEdge(7, 6);
dg5v4enc.addEdge(9, 8);
dg5v4enc.addEdge(10, 9);
dg5v4enc.addEdge(8, 10);
VF2SubgraphIsomorphismInspector<Integer, DefaultEdge> vf12 =
new VF2SubgraphIsomorphismInspector<>(dg6v4enc, dg5v4enc);
Iterator<GraphMapping<Integer, DefaultEdge>> iter12 = vf12.getMappings();
Set<String> mappings12 =
new HashSet<>(
Arrays.asList(
"[0=~~ 1=8 2=10 3=9 4=7 5=6]",
"[0=~~ 1=9 2=8 3=10 4=7 5=6]",
"[0=~~ 1=10 2=9 3=8 4=7 5=6]"));
assertEquals(true, mappings12.remove(iter12.next().toString()));
assertEquals(true, mappings12.remove(iter12.next().toString()));
assertEquals(true, mappings12.remove(iter12.next().toString()));
assertEquals(false, iter12.hasNext());
}