public List <GraphVertex> GetPath(Graph graph, GraphVertex start, GraphVertex end)
{
if (graph == null || start == null || end == null || !graph.AllVertices.ContainsKey(start.Id) || !graph.AllVertices.ContainsKey(end.Id))
{
// error condition pertaining to the input arguments
throw new ArgumentException();
}
MinHeapMap <GraphVertex> priorityQueue = new MinHeapMap <GraphVertex>(graph.AllVertices.Count);
Dictionary <GraphVertex, GraphVertex> backtrack = new Dictionary <GraphVertex, GraphVertex>();
Dictionary <GraphVertex, int> finalDistance = new Dictionary <GraphVertex, int>();
// start node will have a distance of 0+manhattandistance
start.CurrentDistance = ManhattanDistance(start, end);
priorityQueue.Insert(start);
backtrack[start] = null;
while (priorityQueue.Count > 0)
{
GraphVertex vertex = priorityQueue.ExtractMin();
finalDistance[vertex] = vertex.CurrentDistance;
if (vertex == end)
{
// return the path from start to end
return(BackTractToGetThePath(backtrack, start, end));
}
foreach (KeyValuePair <GraphVertex, int> edge in vertex.NeighbourEdges)
{
GraphVertex neighbour = edge.Key;
int edgeWeight = edge.Value;
if (!finalDistance.ContainsKey(neighbour))
{
// this node's minimum distance has not yet been calculated
if (neighbour.CurrentDistance > vertex.CurrentDistance + edgeWeight)
{
// A better distance has been found for neighbour
neighbour.CurrentDistance = vertex.CurrentDistance + edgeWeight;
neighbour.DistanceWithHeuristic = vertex.CurrentDistance + edgeWeight + ManhattanDistance(vertex, neighbour);
priorityQueue.AddOrChangePriority(neighbour);
backtrack[neighbour] = vertex;
}
}
}
}
// we do not have a path from source to destination
return(null);
}
public List <int> GetShortestPath(List <GraphVertex> allVertices, GraphVertex source, GraphVertex destination)
{
List <GraphVertex> shortestPath = new List <GraphVertex>();
DistanceHeapMap = new MinHeapMap <GraphVertexWithDistance>(allVertices.Count);
ParentBacktrack = new Dictionary <int, int>();
FinalDistance = new Dictionary <int, int>();
foreach (GraphVertex gv in allVertices)
{
if (gv == source)
{
DistanceHeapMap.Insert(new GraphVertexWithDistance(gv, 0));
}
else
{
DistanceHeapMap.Insert(new GraphVertexWithDistance(gv));
}
}
while (DistanceHeapMap.Count != 0)
{
GraphVertexWithDistance currentVertex = DistanceHeapMap.ExtractMin();
FinalDistance[currentVertex.Id] = currentVertex.Distance;
if (currentVertex.Id == destination.Id)
{
// we have reached the destination
return(BacktrackToGetPath(currentVertex.Id, 0));
}
foreach (KeyValuePair <GraphVertex, int> edge in currentVertex.NeighbouringEdgesWithWeight)
{
if (DistanceHeapMap.AllEntities.ContainsKey(edge.Key.Id))
{
GraphVertexWithDistance endVertex = DistanceHeapMap.AllEntities[edge.Key.Id];
if (endVertex.Distance > currentVertex.Distance + edge.Value)
{
GraphVertexWithDistance gvClone = endVertex.ShallowClone();
gvClone.Distance = currentVertex.Distance + edge.Value;
ParentBacktrack[endVertex.Id] = currentVertex.Id;
DistanceHeapMap.ChangePriority(endVertex, gvClone);
}
}
}
}
// we do not have a path from source to destination
return(null);
}