public static List <int> Dijkstra(int Source, int dest, RGBPixel[,] ImageMatrix)
{
const double oo = 10000000000000000000; // infity value
//Distance : the minimum cost between the source node and all the others nodes
//initialized with infinty value
int Width = ImageOperations.GetWidth(ImageMatrix);
int Height = ImageOperations.GetHeight(ImageMatrix);
int nodes_number = Width * Height;
List <double> Distance = new List <double>();
Distance = Enumerable.Repeat(oo, nodes_number).ToList();
//Previous : saves the previous node that lead to the shortest path from the src node to current node
List <int> Previous = new List <int>();
Previous = Enumerable.Repeat(-1, nodes_number).ToList();
// PeriorityQueue : always return the shortest bath btween src node and specific node
PeriorityQueue <Edge> MinimumDistances = new PeriorityQueue <Edge>();
MinimumDistances.Push(new Edge(-1, Source, 0));
while (!MinimumDistances.IsEmpty())
{
// get the shortest path so far
Edge CurrentEdge = MinimumDistances.Top();
MinimumDistances.Pop();
// check if this SP is vaild (i didn't vist this node with a less cost)
if (CurrentEdge.Weight >= Distance[CurrentEdge.To])
{
continue;
}
// save the previous
Previous[CurrentEdge.To] = CurrentEdge.From;
Distance[CurrentEdge.To] = CurrentEdge.Weight;
if (CurrentEdge.To == dest)
{
break;
}
// Relaxing
List <Edge> neibours = GraphOperations.Get_neighbours(CurrentEdge.To, ImageMatrix);
for (int i = 0; i < neibours.Count; i++)
{
Edge HeldEdge = neibours[i];
// if the relaxed path cost of a neighbour node is less than it's previous one
if (Distance[HeldEdge.To] > Distance[HeldEdge.From] + HeldEdge.Weight)
{
// set the relaxed cost to Distance && pash it to the PQ
HeldEdge.Weight = Distance[HeldEdge.From] + HeldEdge.Weight;
MinimumDistances.Push(HeldEdge);
}
}
}
return(Previous); // re turn th shortest paths from src to all nodes
}
public static List <int> Dijkstra(int Source, int Dest, Color[] pixels, int w, int h)
{
const double oo = 10000000000000000000;
int length = pixels.Length;
List <double> Distance = new List <double>();
Distance = Enumerable.Repeat(oo, length).ToList();
List <int> Previous = new List <int>();
Previous = Enumerable.Repeat(-1, length).ToList( );
PeriorityQueue <Edge> MinimumDistances = new PeriorityQueue <Edge>();
MinimumDistances.Push(new Edge(-1, Source, 0));
while (!MinimumDistances.IsEmpty( ))
{
Edge CurrentEdge = MinimumDistances.Top();
MinimumDistances.Pop( );
if (CurrentEdge.Weight >= Distance [CurrentEdge.To])
{
continue;
}
Previous [CurrentEdge.To] = CurrentEdge.From;
Distance [CurrentEdge.To] = CurrentEdge.Weight;
if (CurrentEdge.To == Dest)
{
break;
}
List <Edge> neibours = Get_neighbours(CurrentEdge.To, pixels, w, h);
for (int i = 0; i < neibours.Count; i++)
{
Edge heldEdge = neibours[i];
if (Distance[heldEdge.To] > Distance[heldEdge.From] + heldEdge.Weight)
{
heldEdge.Weight = Distance [heldEdge.From] + heldEdge.Weight;
MinimumDistances.Push(heldEdge);
}
}
}
return(Previous);
}
public static List <int> Dijkstra(int Source, Color [] pixels, int w, int h)
{
const double oo = 10000000000000000000; // infity value
int length = pixels.Length;
List <double> Distance = new List <double>();
Distance = Enumerable.Repeat(oo, length).ToList( );
List <int> Previous = new List <int>();
Previous = Enumerable.Repeat(-1, length).ToList( );
PeriorityQueue <Edge> MinimumDistances = new PeriorityQueue <Edge>();
MinimumDistances.Push(new Edge(-1, Source, 0));
while (!MinimumDistances.IsEmpty( ))
{
// get the shortest path so far
Edge CurrentEdge = MinimumDistances.Top();
MinimumDistances.Pop( );
// check if this SP is vaild (i didn't vist this node with a less cost)
if (CurrentEdge.Weight >= Distance [CurrentEdge.To])
{
continue;
}
// save the previous
Distance [CurrentEdge.To] = CurrentEdge.Weight;
Previous [CurrentEdge.To] = CurrentEdge.From;
// Relaxing
List <Edge> neibours = Get_neighbours(CurrentEdge.To, pixels, w, h);
for (int i = 0; i < neibours.Count; i++)
{
Edge HeldEdge = neibours[i];
// if the relaxed path cost of a neighbour node is less than it's previous one
if (Distance [HeldEdge.To] > Distance [HeldEdge.From] + HeldEdge.Weight)
{
// set the relaxed cost to Distance && pash it to the PQ
HeldEdge.Weight = Distance [HeldEdge.From] + HeldEdge.Weight;
MinimumDistances.Push(HeldEdge);
}
}
}
return(Previous);
}
public static List<int> Dijkstra(int Source, int dest, RGBPixel[,] ImageMatrix)
{
const double oo = 10000000000000000000; // infity value
//Distance : the minimum cost between the source node and all the others nodes
//initialized with infinty value
int Width = ImageOperations.GetWidth(ImageMatrix);
int Height = ImageOperations.GetHeight(ImageMatrix);
int nodes_number = Width * Height;
List<double> Distance = new List<double>();
Distance = Enumerable.Repeat(oo, nodes_number).ToList();
//Previous : saves the previous node that lead to the shortest path from the src node to current node
List<int> Previous = new List<int>();
Previous = Enumerable.Repeat(-1, nodes_number).ToList();
// PeriorityQueue : always return the shortest bath btween src node and specific node
PeriorityQueue MinimumDistances = new PeriorityQueue();
MinimumDistances.Push(new Edge(-1, Source, 0));
while (!MinimumDistances.IsEmpty())
{
// get the shortest path so far
Edge CurrentEdge = MinimumDistances.Top();
MinimumDistances.Pop();
// check if this SP is vaild (i didn't vist this node with a less cost)
if (CurrentEdge.Weight >= Distance[CurrentEdge.To])
continue;
// save the previous
Previous[CurrentEdge.To] = CurrentEdge.From;
Distance[CurrentEdge.To] = CurrentEdge.Weight;
if (CurrentEdge.To == dest) break;
// Relaxing
List<Edge> neibours = GraphOperations.Get_neighbours(CurrentEdge.To, ImageMatrix);
for (int i = 0; i < neibours.Count; i++)
{
Edge HeldEdge = neibours[i];
// if the relaxed path cost of a neighbour node is less than it's previous one
if (Distance[HeldEdge.To] > Distance[HeldEdge.From] + HeldEdge.Weight)
{
// set the relaxed cost to Distance && pash it to the PQ
HeldEdge.Weight = Distance[HeldEdge.From] + HeldEdge.Weight;
MinimumDistances.Push(HeldEdge);
}
}
}
return Previous; // re turn th shortest paths from src to all nodes
}