/// <summary>
/// Topologically sorts the nodes of this graph. Throws an exception if this graph is acyclic.
/// </summary>
/// <returns>The sorted nodes collection.</returns>
public IEnumerable <EdgeListNode <T> > TopologicalSort()
{
List <EdgeListNode <T> > ordered = new List <EdgeListNode <T> >();
List <EdgeListNode <T> > noIncomingEdges = NodesWithoutIncomingEdges.ToList();
List <Edge <EdgeListNode <T> > > allEdges = AllEdges.ToList();
while (noIncomingEdges.Count() > 0)
{
EdgeListNode <T> node = noIncomingEdges[0];
noIncomingEdges.RemoveAt(0);
ordered.Add(node);
IEnumerable <Edge <EdgeListNode <T> > > outgoingEdges = allEdges.Where((Edge <EdgeListNode <T> > e) => e.From.Equals(node)).ToList();
foreach (Edge <EdgeListNode <T> > edge in outgoingEdges)
{
allEdges.Remove(edge);
int index = allEdges.FindIndex((Edge <EdgeListNode <T> > e) => e.To.Equals(edge.To));
if (index == -1)
{
noIncomingEdges.Add(edge.To);
}
}
}
if (allEdges.Count > 0)
{
throw new Exception("This graph has at least one cycle, so it can't be topologically sorted.");
}
else
{
return(ordered);
}
}
/// <summary>
/// Creates an edge to the specified node and stores it in this node edges, if it does not already exist.
/// </summary>
/// <param name="node">The node on the 'to' end of the edge.</param>
/// <returns>The edge between this node and the specified node.</returns>
public Edge <EdgeListNode <T> > AddEdgeTo(EdgeListNode <T> node)
{
Edge <EdgeListNode <T> > newEdge = new Edge <EdgeListNode <T> >(this, node);
Edge <EdgeListNode <T> > oldEdge = this.FindEdgeTo(node);
Edge <EdgeListNode <T> > actualEdge = oldEdge;
if (oldEdge == null)
{
_edges.Add(newEdge);
actualEdge = newEdge;
}
return(actualEdge);
}
/// <summary>
/// Adds a new node to this graph, if it does not already exist.
/// </summary>
/// <param name="node">The node to add.</param>
public EdgeListNode <T> AddNode(EdgeListNode <T> node)
{
EdgeListNode <T> target = FindNode(node.Value);
if (target == null)
{
_nodes.Add(node);
return(node);
}
else
{
return(target);
}
}
/// <summary>
/// Adds a directed edge between the nodes identified by the specified values.
/// </summary>
/// <param name="from">Value identifying the node that will spawn the edge.</param>
/// <param name="to">Value identifying the node on the 'to' end of the edge.</param>
/// <returns>The edge between the targeted nodes.</returns>
public Edge <EdgeListNode <T> > AddDirectedEdge(T from, T to)
{
EdgeListNode <T> fromTarget = FindNode(from);
EdgeListNode <T> toTarget = FindNode(to);
if (fromTarget == null)
{
throw new ArgumentException("The 'from' node is not part of this graph.");
}
if (toTarget == null)
{
throw new ArgumentException("The 'to' node is not part of this graph.");
}
return(fromTarget.AddEdgeTo(to));
}
/// <summary>
/// Adds a directed edge between the specified nodes.
/// </summary>
/// <param name="from">The node spawning the edge.</param>
/// <param name="to">The destination of the edge.</param>
/// <returns>The edge between the nodes equivalent to the specified nodes.</returns>
public Edge <EdgeListNode <T> > AddDirectedEdge(EdgeListNode <T> from, EdgeListNode <T> to)
{
return(this.AddDirectedEdge(from.Value, to.Value));
}
/// <summary>
/// Gets whether this graph contains a node equivalent to the specified node.
/// </summary>
/// <param name="node">The equivalent node to search for.</param>
/// <returns>True if a node is found, false otherwise.</returns>
public bool ContainsNode(EdgeListNode <T> node)
{
return(this.ContainsNode(node.Value));
}
/// <summary>
/// Finds a node equivalent to the specified node.
/// </summary>
/// <param name="node">The node to search for.</param>
/// <returns>The node if it is found, null otherwise.</returns>
public EdgeListNode <T> FindNode(EdgeListNode <T> node)
{
return(this.FindNode(node.Value));
}
/// <summary>
/// Adds a new node having the specified value as value, if it does not already exist.
/// </summary>
/// <param name="value"></param>
public EdgeListNode <T> AddNode(T value)
{
EdgeListNode <T> target = new EdgeListNode <T>(value);
return(AddNode(target));
}
/// <summary>
/// Creates an edge to a node having the specified value and stores it in this node edges, if it does not already exist.
/// </summary>
/// <param name="value">The value of the node on the 'to' end of the edge.</param>
/// /// <returns>The edge between this node and the one having value as the specified value.</returns>
public Edge <EdgeListNode <T> > AddEdgeTo(T value)
{
EdgeListNode <T> newNode = new EdgeListNode <T>(value);
return(this.AddEdgeTo(newNode));
}
/// <summary>
/// Gets whether this node has an edge going to a node equivalent to the specified node.
/// </summary>
/// <param name="node">The node on the 'to' end.</param>
/// <returns>True if the condition is met, false otherwise.</returns>
public bool HasEdgeTo(EdgeListNode <T> node)
{
return(this.FindEdgeTo(node) != null);
}
/// <summary>
/// Searches for an edge spawning from this node and ending in a node equivalent to the specified node.
/// </summary>
/// <param name="node"></param>
/// <returns></returns>
public Edge <EdgeListNode <T> > FindEdgeTo(EdgeListNode <T> node)
{
return(this.FindEdgeTo(node.Value));
}
