public static List<List<PathStop>> getAllPossiblePathsBetweenTwoPoints(Dictionary<int, Dictionary<int, decimal>> adjListWithWeight, int startSID, int endSID)
{
List<List<int>> paths = new List<List<int>>();
List<List<int>> visitedPaths = new List<List<int>>();
List<List<int>> nextPaths = new List<List<int>>();
//initiate
visitedPaths.Add(new List<int>());
visitedPaths[0].Add(startSID);
//bug: evaluate the while condition
while (visitedPaths.Count!=0)
{
foreach (List<int> path in visitedPaths)
{
foreach (int u in adjListWithWeight[path.Last()].Keys)
{
int[] pathToArray = new int[path.Count];
path.CopyTo(pathToArray);//make a deep copy of the object
List<int> pathClone = pathToArray.ToList();
if (u == endSID)
{
pathClone.Add(u);
paths.Add(pathClone);
}
else
{
if (!path.Contains(u)) //exclude loop situation
{
pathClone.Add(u);
nextPaths.Add(pathClone);
}
}
}
}
visitedPaths = nextPaths;
nextPaths = new List<List<int>>();
}
Dictionary<List<int>, decimal> pathWithWeight = new Dictionary<List<int>, decimal>();
if (paths.Count!=0)
{
foreach (List<int> path in paths)
{
decimal totalWeight = 0;
for (int i = 0; i < path.Count; i++)
{
if (i!=0)
{
totalWeight += adjListWithWeight[path[i-1]][path[i]];
}
}
pathWithWeight.Add(path, totalWeight);
}
}
pathWithWeight = pathWithWeight.OrderBy(i => i.Value).ToDictionary(x => x.Key, x => x.Value);
List<List<int>> sorted = pathWithWeight.Keys.ToList();
//build the ordered paths
List<List<PathStop>> sortedPaths = new List<List<PathStop>>();
for (int i = 0; i < sorted.Count; i++)
{
List<PathStop> path = new List<PathStop>();
for (int j = 0; j < sorted[i].Count; j++)
{
if (path.Count==0)
{
PathStop ps = new PathStop() {stationID = sorted[i][j], driveHour = 0};
path.Add(ps);
}
else
{
PathStop ps = new PathStop() { stationID = sorted[i][j], driveHour = path[path.Count-1].driveHour + adjListWithWeight[sorted[i][j - 1]][sorted[i][j]] };
path.Add(ps);
}
}
sortedPaths.Add(path);
}
return sortedPaths;
}
public static List<PathStop> buildRoute(Dictionary<int, decimal> visitedStationIDs_distance, Dictionary<int, int> stationID_parentID, int endSID)
{
List<PathStop> route = new List<PathStop>();
int parentId = endSID;
while (parentId!=0)
{
PathStop stop = new PathStop() { stationID = parentId, driveHour = visitedStationIDs_distance[parentId] };
route.Add(stop);
parentId = stationID_parentID[parentId];
}
route.Reverse();
return route;
}
//return a path consists of station id and drivehour from each station to start station.
public static List<PathStop> buildRoute(List<FibonacciNode> S, int endSID)
{
List<PathStop> route = new List<PathStop>();
FibonacciNode endNode = S.Find(node => node.StationID == endSID);
FibonacciNode lastStop = endNode;
while (lastStop != null)
{
PathStop stop = new PathStop() { stationID = lastStop.StationID, driveHour = lastStop.MinPathValue };
route.Add(stop);
lastStop = lastStop.lastStop;
}
route.Reverse();
return route;
}