private static void RunConnectedComponentsAndCheck <TVertex, TEdge>(
[NotNull] IUndirectedGraph <TVertex, TEdge> graph)
where TEdge : IEdge <TVertex>
{
var algorithm = new ConnectedComponentsAlgorithm <TVertex, TEdge>(graph);
algorithm.Compute();
Assert.AreEqual(graph.VertexCount, algorithm.Components.Count);
if (graph.VertexCount == 0)
{
Assert.IsTrue(algorithm.ComponentCount == 0);
return;
}
Assert.Positive(algorithm.ComponentCount);
Assert.LessOrEqual(algorithm.ComponentCount, graph.VertexCount);
foreach (KeyValuePair <TVertex, int> pair in algorithm.Components)
{
Assert.GreaterOrEqual(pair.Value, 0);
Assert.IsTrue(pair.Value < algorithm.ComponentCount, $"{pair.Value} < {algorithm.ComponentCount}");
}
foreach (TVertex vertex in graph.Vertices)
{
foreach (TEdge edge in graph.AdjacentEdges(vertex))
{
Assert.AreEqual(algorithm.Components[edge.Source], algorithm.Components[edge.Target]);
}
}
}
private void Compute <TVertex, TEdge>(IUndirectedGraph <TVertex, TEdge> g)
where TEdge : IEdge <TVertex>
{
var dfs = new ConnectedComponentsAlgorithm <TVertex, TEdge>(g);
dfs.Compute();
if (g.VertexCount == 0)
{
Assert.Equal(0, dfs.ComponentCount);
return;
}
Assert.True(0 < dfs.ComponentCount);
Assert.True(dfs.ComponentCount <= g.VertexCount);
foreach (var kv in dfs.Components)
{
Assert.True(0 <= kv.Value);
Assert.True(kv.Value < dfs.ComponentCount);
}
foreach (var vertex in g.Vertices)
{
foreach (var edge in g.AdjacentEdges(vertex))
{
Assert.Equal(dfs.Components[edge.Source], dfs.Components[edge.Target]);
}
}
}
public void Compute <TVertex, TEdge>([PexAssumeNotNull] IUndirectedGraph <TVertex, TEdge> g)
where TEdge : IEdge <TVertex>
{
var dfs = new ConnectedComponentsAlgorithm <TVertex, TEdge>(g);
dfs.Compute();
if (g.VertexCount == 0)
{
Assert.IsTrue(dfs.ComponentCount == 0);
return;
}
Assert.IsTrue(0 < dfs.ComponentCount);
Assert.IsTrue(dfs.ComponentCount <= g.VertexCount);
foreach (var kv in dfs.Components)
{
Assert.IsTrue(0 <= kv.Value);
Assert.IsTrue(kv.Value < dfs.ComponentCount, "{0} < {1}", kv.Value, dfs.ComponentCount);
}
foreach (var vertex in g.Vertices)
{
foreach (var edge in g.AdjacentEdges(vertex))
{
Assert.AreEqual(dfs.Components[edge.Source], dfs.Components[edge.Target]);
}
}
}
/// <summary>
/// Dijsktra algoritam za trazenje najmanjeg rastojanja i odgovarajucih
/// putanja. Graf mora imati sve pozitivne tezine grana ali moze da bude neusmeren
/// i/ili da sadrzi cikluse (petlje).
/// </summary>
/// <param name="start"></param>
public void Dijkstra_shortest_path(IUndirectedGraph <TVertex, TEdge> graph, TVertex start)
{
//Inicijalizujemo kolekcije
Initialize(graph, start);
minQueue.Clear();
minQueue.Insert(start);
while (minQueue.Count > 0)
{
TVertex u = minQueue.Remove();
if (vertexColors[u] == VertexColor.Black)
{
continue;
}
vertexColors[u] = VertexColor.Black;
OnExamineVertex(u);
foreach (TEdge edge in graph.AdjacentEdges(u))
{
TVertex v = graph.MateOf(u, edge);
if (RelaxEdge(u, v, edge))
{
vertexColors[edge.Target] = VertexColor.Gray;
minQueue.Insert(v);
OnEdgeRelaxed(edge);
}
}
}
}
private static void Compute <TVertex, TEdge>([NotNull] IUndirectedGraph <TVertex, TEdge> graph)
where TEdge : IEdge <TVertex>
{
var dfs = new ConnectedComponentsAlgorithm <TVertex, TEdge>(graph);
dfs.Compute();
if (graph.VertexCount == 0)
{
Assert.IsTrue(dfs.ComponentCount == 0);
return;
}
Assert.IsTrue(0 < dfs.ComponentCount);
Assert.IsTrue(dfs.ComponentCount <= graph.VertexCount);
foreach (KeyValuePair <TVertex, int> pair in dfs.Components)
{
Assert.IsTrue(0 <= pair.Value);
Assert.IsTrue(pair.Value < dfs.ComponentCount, $"{pair.Value} < {dfs.ComponentCount}");
}
foreach (TVertex vertex in graph.Vertices)
{
foreach (TEdge edge in graph.AdjacentEdges(vertex))
{
Assert.AreEqual(dfs.Components[edge.Source], dfs.Components[edge.Target]);
}
}
}
private static void GenerateRootedTree <T>(IUndirectedGraph <Cluster <T>, ClusterEdge <T> > unrootedTree, Cluster <T> parent, Cluster <T> node, BidirectionalGraph <Cluster <T>, ClusterEdge <T> > rootedTree)
{
foreach (ClusterEdge <T> edge in unrootedTree.AdjacentEdges(node).Where(e => e.GetOtherVertex(node) != parent))
{
Cluster <T> otherCluster = edge.GetOtherVertex(node);
rootedTree.AddVertex(otherCluster);
rootedTree.AddEdge(new ClusterEdge <T>(node, otherCluster, edge.Length));
GenerateRootedTree(unrootedTree, node, otherCluster, rootedTree);
}
}
public static void ContainsEdgeAssertions(
[NotNull] IUndirectedGraph <int, IEdge <int> > graph,
[NotNull] IEdge <int> e12,
[NotNull] IEdge <int> f12,
[CanBeNull] IEdge <int> e21,
[CanBeNull] IEdge <int> f21)
{
Assert.AreEqual(1, graph.AdjacentDegree(1));
Assert.AreEqual(1, graph.AdjacentDegree(2));
Assert.AreEqual(1, graph.AdjacentEdges(1).Count());
Assert.AreEqual(1, graph.AdjacentEdges(2).Count());
// e12 must be present in u, because we added it.
Assert.IsTrue(graph.ContainsEdge(e12));
// f12 is also in u, because e12 == f12.
Assert.IsTrue(graph.ContainsEdge(f12));
// e21 and f21 are not in u, because ContainsEdge has semantics that
// if it returns true for an edge, that edge must be physically present in
// the collection of edges inside u.
if (e21 != null)
{
Assert.IsFalse(graph.ContainsEdge(e21));
}
if (f21 != null)
{
Assert.IsFalse(graph.ContainsEdge(f21));
}
// There must be an edge between vertices 1, 2.
Assert.IsTrue(graph.ContainsEdge(1, 2));
// There is also an edge between vertices 2, 1, because the graph is undirected.
Assert.IsTrue(graph.ContainsEdge(2, 1));
// Obviously no edge between vertices 1, 3, as vertex 3 is not even present in the graph.
Assert.IsFalse(graph.ContainsEdge(1, 3));
}
private static void GenerateHierarchicalVertices(BidirectionalGraph <HierarchicalGraphVertex, HierarchicalGraphEdge> graph, HierarchicalGraphVertex vertex,
IUndirectedGraph <Cluster <Variety>, ClusterEdge <Variety> > tree, Cluster <Variety> parent, Cluster <Variety> cluster)
{
foreach (ClusterEdge <Variety> edge in tree.AdjacentEdges(cluster).Where(e => e.GetOtherVertex(cluster) != parent))
{
Cluster <Variety> target = edge.GetOtherVertex(cluster);
double depth = vertex.Depth + edge.Length;
var newVertex = target.DataObjects.Count == 1 ? new HierarchicalGraphVertex(target.DataObjects.First(), depth) : new HierarchicalGraphVertex(depth);
graph.AddVertex(newVertex);
graph.AddEdge(new HierarchicalGraphEdge(vertex, newVertex, edge.Length));
GenerateHierarchicalVertices(graph, newVertex, tree, cluster, target);
}
}
public ArrayUndirectedGraph(
IUndirectedGraph <TVertex, TEdge> graph)
{
Contract.Requires(graph != null);
this.edgeEqualityComparer = graph.EdgeEqualityComparer;
this.edgeCount = graph.EdgeCount;
this.vertexEdges = new Dictionary <TVertex, TEdge[]>(graph.VertexCount);
foreach (var v in graph.Vertices)
{
var edges = Enumerable.ToArray(graph.AdjacentEdges(v));
this.vertexEdges.Add(v, edges);
}
}
private static void AssertSameProperties <TVertex, TEdge>(IUndirectedGraph <TVertex, TEdge> graph)
where TEdge : IEdge <TVertex>
{
ArrayUndirectedGraph <TVertex, TEdge> undirectedGraph = graph.ToArrayUndirectedGraph();
Assert.AreEqual(graph.VertexCount, undirectedGraph.VertexCount);
CollectionAssert.AreEqual(graph.Vertices, undirectedGraph.Vertices);
Assert.AreEqual(graph.EdgeCount, undirectedGraph.EdgeCount);
CollectionAssert.AreEqual(graph.Edges, undirectedGraph.Edges);
foreach (TVertex vertex in graph.Vertices)
{
CollectionAssert.AreEqual(graph.AdjacentEdges(vertex), undirectedGraph.AdjacentEdges(vertex));
}
}
/// <summary>
/// Initializes a new instance of the <see cref="ArrayUndirectedGraph{TVertex,TEdge}"/> class.
/// </summary>
/// <param name="visitedGraph">Graph to visit.</param>
public ArrayUndirectedGraph([NotNull] IUndirectedGraph <TVertex, TEdge> visitedGraph)
{
if (visitedGraph is null)
{
throw new ArgumentNullException(nameof(visitedGraph));
}
EdgeEqualityComparer = visitedGraph.EdgeEqualityComparer;
EdgeCount = visitedGraph.EdgeCount;
_vertexEdges = new Dictionary <TVertex, TEdge[]>(visitedGraph.VertexCount);
foreach (TVertex vertex in visitedGraph.Vertices)
{
_vertexEdges.Add(
vertex,
visitedGraph.AdjacentEdges(vertex).ToArray());
}
}
public static bool PathExistsInGraph(IUndirectedGraph<int, IUndirectedEdge<int>> graph, IEnumerable<IContent> path)
{
var pathList = path.ToList();
if (!graph.ContainsVertex(pathList[0].Id)) return false;
var nextIndex = 1;
var node = pathList[0].Id;
while (node != pathList.Last().Id)
{
var nextNode = pathList[nextIndex].Id;
if (!graph.AdjacentEdges(node).Any(edge => edge.Target == nextNode || edge.Source == nextNode)) return false;
node = nextNode;
nextIndex++;
}
return true;
}
protected void SearchInternal(TVertex u)
{
vertexColors[u] = VertexColor.Gray;
OnDiscoverVertex(u);
foreach (TEdge e in graph.AdjacentEdges(u))
{
OnExamineEdge(e);
TVertex v = e.Target;
if (vertexColors[v] == VertexColor.White)
{
SearchInternal(v);
}
}
vertexColors[u] = VertexColor.Black;
OnFinishVertex(u);
}
/// <summary>
/// Initializes a new instance of the <see cref="ArrayUndirectedGraph{TVertex,TEdge}"/> class.
/// </summary>
/// <param name="baseGraph">Wrapped graph.</param>
/// <exception cref="T:System.ArgumentNullException"><paramref name="baseGraph"/> is <see langword="null"/>.</exception>
public ArrayUndirectedGraph([NotNull] IUndirectedGraph <TVertex, TEdge> baseGraph)
{
if (baseGraph is null)
{
throw new ArgumentNullException(nameof(baseGraph));
}
AllowParallelEdges = baseGraph.AllowParallelEdges;
EdgeEqualityComparer = baseGraph.EdgeEqualityComparer;
EdgeCount = baseGraph.EdgeCount;
_vertexEdges = new Dictionary <TVertex, TEdge[]>(baseGraph.VertexCount);
foreach (TVertex vertex in baseGraph.Vertices)
{
_vertexEdges.Add(
vertex,
baseGraph.AdjacentEdges(vertex).ToArray());
}
_edges = new List <TEdge>(baseGraph.Edges);
}
private static double GetLongestPath <T>(IUndirectedGraph <Cluster <T>, ClusterEdge <T> > tree, Cluster <T> parent, Cluster <T> node, double len, IEnumerable <ClusterEdge <T> > path,
out Cluster <T> deepestNode, out IEnumerable <ClusterEdge <T> > deepestPath)
{
deepestNode = node;
deepestPath = path;
double maxDepth = 0;
foreach (ClusterEdge <T> childEdge in tree.AdjacentEdges(node).Where(e => e.GetOtherVertex(node) != parent))
{
Cluster <T> cdn;
IEnumerable <ClusterEdge <T> > cdp;
double depth = GetLongestPath(tree, node, childEdge.GetOtherVertex(node), childEdge.Length, path.Concat(childEdge), out cdn, out cdp);
if (depth >= maxDepth)
{
deepestNode = cdn;
maxDepth = depth;
deepestPath = cdp;
}
}
return(maxDepth + len);
}
public void Search(IUndirectedGraph <TVertex, TEdge> graph, IEnumerable <TVertex> roots = null)
{
Initialize(graph);
if (roots == null || roots.Count() == 0)
{
throw new ArgumentException("Root nodes must be supplied to bfs search in undirected graph.");
}
foreach (var root in roots)
{
vertexColors[root] = VertexColor.Gray;
OnDiscoverVertex(root);
}
Queue <TVertex> queue = new Queue <TVertex>(roots);
while (queue.Count > 0)
{
TVertex u = queue.Dequeue();
OnExamineVertex(u);
foreach (TEdge e in graph.AdjacentEdges(u))
{
TVertex v = e.Target;
OnExamineEdge(e);
if (vertexColors[v] == VertexColor.White)
{
vertexColors[v] = VertexColor.Gray;
OnDiscoverVertex(v);
queue.Enqueue(v);
}
}
vertexColors[u] = VertexColor.Black;
OnFinishVertex(u);
}
}
private static void GenerateHierarchicalVertices(BidirectionalGraph<HierarchicalGraphVertex, HierarchicalGraphEdge> graph, HierarchicalGraphVertex vertex,
IUndirectedGraph<Cluster<Variety>, ClusterEdge<Variety>> tree, Cluster<Variety> parent, Cluster<Variety> cluster)
{
foreach (ClusterEdge<Variety> edge in tree.AdjacentEdges(cluster).Where(e => e.GetOtherVertex(cluster) != parent))
{
Cluster<Variety> target = edge.GetOtherVertex(cluster);
double depth = vertex.Depth + edge.Length;
var newVertex = target.DataObjects.Count == 1 ? new HierarchicalGraphVertex(target.DataObjects.First(), depth) : new HierarchicalGraphVertex(depth);
graph.AddVertex(newVertex);
graph.AddEdge(new HierarchicalGraphEdge(vertex, newVertex, edge.Length));
GenerateHierarchicalVertices(graph, newVertex, tree, cluster, target);
}
}
public static void ContainsEdgeAssertions(IUndirectedGraph<int, IEdge<int>> g,
IEdge<int> e12,
IEdge<int> f12,
IEdge<int> e21,
IEdge<int> f21)
{
Assert.AreEqual(1, g.AdjacentDegree(1));
Assert.AreEqual(1, g.AdjacentDegree(2));
Assert.AreEqual(1, g.AdjacentEdges(1).Count());
Assert.AreEqual(1, g.AdjacentEdges(2).Count());
// e12 must be present in u, because we added it.
Assert.IsTrue(g.ContainsEdge(e12));
// f12 is also in u, because e12 == f12.
Assert.IsTrue(g.ContainsEdge(f12));
// e21 and f21 are not in u, because ContainsEdge has semantics that
// if it returns true for an edge, that edge must be physically present in
// the collection of edges inside u.
if (e21 != null) Assert.IsFalse(g.ContainsEdge(e21));
if (f21 != null) Assert.IsFalse(g.ContainsEdge(f21));
// there must be an edge between vertices 1, 2.
Assert.IsTrue(g.ContainsEdge(1, 2));
// there is also an edge between vertices 2, 1, because the graph is undirected.
Assert.IsTrue(g.ContainsEdge(2, 1));
// obviously no edge between vertices 1, 3, as vertex 3 is not even present in the graph.
Assert.IsFalse(g.ContainsEdge(1, 3));
}