/// <summary>
/// O(E)
/// Function To Construct Graph by adding each vertex ,its neghbours and weight<time,dist> between them
/// </summary>
public void Add_Adj(read_Write_files rf)
{
adj_List = new LinkedList <Tuple <KeyValuePair <int, char>, double> > [rf.num_of_vertices + 1];
for (int i = 1; i <= rf.num_of_vertices; i++)
{
adj_List[i] = new LinkedList <Tuple <KeyValuePair <int, char>, double> >();
}
for (int i = 0; i < rf.edges; i++)
{
int first_Key = rf.graph.ElementAt(Convert.ToInt32(i)).Item1.Key;
int second_Key = rf.graph.ElementAt(Convert.ToInt32(i)).Item1.Value;
Dis = rf.graph.ElementAt(Convert.ToInt32(i)).Item2.Value;
char direct = rf.graph.ElementAt(Convert.ToChar(i)).Item2.Key;
adj_List[first_Key].AddLast(new Tuple <KeyValuePair <int, char>, double>(new KeyValuePair <int, char>(second_Key, direct), Dis));
}
}
/// <summary>
/// calculate The shortest time to move from the source to the destination.
/// O(E+Vlog(V))
/// </summary>
/// <param name="rf"></param>
/// <param name="File_name"></param>
/// <returns></minimum time ,total distance , walking distance and vechicel distance>
public string Dijkstra(read_Write_files rf, string File_name, int src, int dest)
{
arr_node = new int[rf.num_of_vertices + 1];
arr_directions = new char[rf.num_of_vertices + 1];
path = new List <int>();
directions = new List <char>();
for (int i = 1; i < arr_node.Length; i++)
{
arr_node[i] = -1;
arr_directions[i] = ' ';
}
Dis_arr_fib = new double[rf.num_of_vertices + 1];
int vert;
char dir;
FibonacciHeap <KeyValuePair <int, char>, double> fb = new FibonacciHeap <KeyValuePair <int, char>, double>(0);
for (long i = 1; i <= rf.num_of_vertices; i++)
{
if (i == src)
{
Dis_arr_fib[i] = 0;
}
else
{
Dis_arr_fib[i] = double.MaxValue;
}
}
FibonacciHeapNode <KeyValuePair <int, char>, double> x = new FibonacciHeapNode <KeyValuePair <int, char>, double>(new KeyValuePair <int, char>(src, ' '), 0);
fb.Insert(x);
FibonacciHeapNode <KeyValuePair <int, char>, double> u = new FibonacciHeapNode <KeyValuePair <int, char>, double>(new KeyValuePair <int, char>(0, ' '), 0);
bool flag = false;
dis = new double[rf.num_of_vertices + 1];
while (!fb.IsEmpty())
{
u = fb.Min();
vert = u.Data.Key;
dir = u.Data.Value;
foreach (Tuple <KeyValuePair <int, char>, double> nep in adj_List[Convert.ToInt32(vert)])
{
FibonacciHeapNode <KeyValuePair <int, char>, double> vertex = new FibonacciHeapNode <KeyValuePair <int, char>, double>(new KeyValuePair <int, char>(0, ' '), 0);
if (Dis_arr_fib[vert] + nep.Item2 < Dis_arr_fib[nep.Item1.Key])
{
Dis_arr_fib[nep.Item1.Key] = Dis_arr_fib[vert] + nep.Item2;
vertex.Key = Dis_arr_fib[nep.Item1.Key];
vertex.Data = new KeyValuePair <int, char>(nep.Item1.Key, nep.Item1.Value);
//O(1)
arr_node[nep.Item1.Key] = vert;
dis[nep.Item1.Key] = nep.Item2;
arr_directions[vert] = dir;
fb.Insert(vertex);
}
}
if (u.Data.Key == dest)
{
flag = true;
}
if (flag)
{
arr_directions[vert] = dir;
break;
}
//O(log(v))
fb.RemoveMin();
}
//O(v)
int k = dest;
path.Add(dest);
List <double> path_dis = new List <double>();
path_dis.Add(dis[k]);
do
{
int node = arr_node[k];
double dista = dis[node];
path_dis.Add(dista);
path.Add(node);
k = node;
} while (k != src);
for (int i = 0; i < path.Count; i++)
{
char dire = arr_directions[path[i]];
directions.Add(dire);
}
Console.WriteLine();
string final_path = rf.Write_output(File_name, Dis_arr_fib[dest], path_dis, directions);
return(final_path);
}