private (Graph g, double res, Edge[] cycle) Test04()
{
Graph g = new AdjacencyMatrixGraph(true, 5);
List <Edge> cycle = new List <Edge>();
g.AddEdge(0, 1);
g.AddEdge(1, 2, 0.1);
g.AddEdge(2, 0);
g.AddEdge(2, 3);
g.AddEdge(3, 4);
g.AddEdge(4, 5);
g.AddEdge(5, 2);
cycle.Add(new Edge(0, 1));
cycle.Add(new Edge(1, 3));
cycle.Add(new Edge(3, 4));
cycle.Add(new Edge(4, 5));
cycle.Add(new Edge(5, 0));
double res = 5;
return(g, res, cycle.ToArray());
}
/// <summary>
/// Na podstawie danych krawędzi, tworzy graf i zwraca go wraz ze słownikiem
/// </summary>
/// <param name="edges">Krawędzie mają być oznaczone zgodnie z oznaczeniem grafu oryginalnego</param>
static PartGraph createPartGraphFromEdges(HashSet <Edge> edges)
{
HashSet <int> vertices = new HashSet <int>();
foreach (Edge e in edges)
{
vertices.Add(e.From);
vertices.Add(e.To);
}
var verticesList = vertices.ToList();
verticesList.Sort();
var dict = new Dictionary <int, int>();
for (int i = 0; i < verticesList.Count; i++)
{
dict[i] = verticesList[i];
}
var revDict = dict.ToDictionary(x => x.Value, x => x.Key);
var graph = new AdjacencyMatrixGraph(false, vertices.Count);
foreach (Edge e in edges)
{
graph.AddEdge(revDict[e.From], revDict[e.To], e.Weight);
}
return(new PartGraph {
Graph = graph, NumbersInOriginal = dict
});
}
//cykl + krawędź
private (Graph g, double res, Edge[] cycle) TestAbdula()
{
Graph g = new AdjacencyMatrixGraph(true, 4);
List <Edge> cycle = new List <Edge>();
g.AddEdge(0, 1, 4);
g.AddEdge(0, 2, 12);
g.AddEdge(0, 3, 7);
g.AddEdge(1, 3, 18);
g.AddEdge(1, 0, 5);
g.AddEdge(2, 3, 6);
g.AddEdge(2, 0, 11);
g.AddEdge(3, 0, 10);
g.AddEdge(3, 1, 2);
g.AddEdge(3, 2, 3);
cycle.Add(new Edge(0, 2, 12));
cycle.Add(new Edge(2, 3, 6));
cycle.Add(new Edge(3, 1, 2));
cycle.Add(new Edge(1, 0, 5));
double res = 25;
return(g, res, cycle.ToArray());
}
//cykl + krawędź
private (Graph g, Graph t) Test01()
{
Graph t = new AdjacencyMatrixGraph(false, 4);
t.AddEdge(0, 1);
t.AddEdge(1, 2);
t.AddEdge(0, 3);
Graph g = t.Clone();
g.AddEdge(1, 3);
return(g, t);
}
/// <summary>
/// Funkcja sprawdza, czy drugi argument jest poprawnym cyklem Hamiltona dla grafu w pierwszym argumencie.
/// Oczywiście chodzi o cykl Hamiltona utworzony z możliwością przeskoków.
/// </summary>
public static bool isCorrectHamiltonianCycle(Graph g, List <int> cycle)
{
// Cykl Hamiltona musi być tak długi, jak ilość wierzchołków w grafie
if (cycle.Count() != g.VerticesCount)
{
return(false);
}
// W cyklu Hamiltona wierzchołki nie mogą się powtarzać
bool isUnique = cycle.Distinct().Count() == cycle.Count();
if (!isUnique)
{
return(false);
}
var onesGraph = new AdjacencyMatrixGraph(false, g.VerticesCount);
for (int i = 0; i < g.VerticesCount; i++)
{
for (int j = 0; j < i; j++)
{
if (!double.IsNaN(g.GetEdgeWeight(i, j)))
{
onesGraph.AddEdge(i, j);
}
}
}
List <PathsInfo[]> pathsFromVertices = new List <PathsInfo[]>();
for (int i = 0; i < onesGraph.VerticesCount; i++)
{
PathsInfo[] path;
onesGraph.DijkstraShortestPaths(i, out path);
pathsFromVertices.Add(path);
}
bool good = true;
for (int i = 0; i < cycle.Count - 1; i++)
{
if (pathsFromVertices[cycle[i]][cycle[i + 1]].Dist > 3)
{
good = false;
Console.WriteLine($"{cycle[i]}, {cycle[i + 1]}, cost: {pathsFromVertices[cycle[i]][cycle[i + 1]].Dist}");
}
}
return(good);
}
static Graph generateTree(int numberOfVertices)
{
var graph = new AdjacencyMatrixGraph(false, numberOfVertices);
for (int i = 0; i < numberOfVertices; i++)
{
for (int j = 0; j < i; j++)
{
graph.AddEdge(i, j, rand.Next(3, 8));
}
}
return(graph);
}
public void AStarTest()
{
Graph g = new AdjacencyMatrixGraph(false, 4);
g.Add(new Edge(0, 1, 13));
g.Add(new Edge(0, 2, 1));
g.Add(new Edge(2, 1, 2));
g.Add(new Edge(0, 3, 11));
g.Add(new Edge(1, 3, 7));
var exists = g.AStar(0, 3, out var edges);
exists.Should().BeTrue();
edges.Should().ContainInOrder(new Edge(0, 2, 1), new Edge(2, 1, 2), new Edge(1, 3, 7));
}
public static Graph Kruskal(Graph graph)
{
var edges = getGraphEdgesMin(graph);
UnionFind uf = new UnionFind(graph.VerticesCount);
var retGraph = new AdjacencyMatrixGraph(false, graph.VerticesCount);
foreach (Edge e in edges.ToArray())
{
if (uf.Find(e.From) != uf.Find(e.To))
{
retGraph.AddEdge(e);
uf.Union(e.From, e.To);
}
}
return(retGraph);
}
public Graph graphFromFile()
{
using (StreamReader sr = File.OpenText(path))
{
int numberOfVertices = int.Parse(sr.ReadLine());
var ret = new AdjacencyMatrixGraph(false, numberOfVertices);
string line;
while ((line = sr.ReadLine()) != null)
{
var numbers = line.Split(' ');
ret.AddEdge(int.Parse(numbers[0]), int.Parse(numbers[1]), int.Parse(numbers[2]));
}
return(ret);
}
}
static void testMergeGraphs()
{
Graph one = new AdjacencyMatrixGraph(false, 4);
one.AddEdge(0, 1);
one.AddEdge(0, 2);
one.AddEdge(2, 3);
one.AddEdge(3, 1);
Dictionary <int, int> dictOne = new Dictionary <int, int>
{
{ 0, 8 },
{ 1, 7 },
{ 2, 5 },
{ 3, 6 }
};
Graph two = new AdjacencyMatrixGraph(false, 3);
two.AddEdge(0, 1);
two.AddEdge(1, 2);
Dictionary <int, int> dictTwo = new Dictionary <int, int>
{
{ 0, 12 },
{ 1, 10 },
{ 2, 8 }
};
var res = MergeGraphs(
new PartGraph {
Graph = one, NumbersInOriginal = dictOne
},
new PartGraph {
Graph = two, NumbersInOriginal = dictTwo
});
printGraph(res, "");
}