JavaDoc ExampleGraphs
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.idea/workspace.xml
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32
.idea/workspace.xml
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@ -6,15 +6,9 @@
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<change beforePath="$PROJECT_DIR$/graph/ExampleGraphs.java" beforeDir="false" afterPath="$PROJECT_DIR$/graph/ExampleGraphs.java" afterDir="false" />
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<change beforePath="$PROJECT_DIR$/out/production/ProjektGraph/graph/ExampleGraphs.class" beforeDir="false" afterPath="$PROJECT_DIR$/out/production/ProjektGraph/graph/ExampleGraphs.class" afterDir="false" />
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"RunOnceActivity.ShowReadmeOnStart": "true",
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"git-widget-placeholder": "main",
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"kotlin-language-version-configured": "true",
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"last_opened_file_path": "C:/Git/ProjektGraphMain"
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<component name="PropertiesComponent">{
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"keyToString": {
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"Application.Display.executor": "Run",
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"Application.OurApplication.executor": "Run",
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"RunOnceActivity.ShowReadmeOnStart": "true",
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"git-widget-placeholder": "main",
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"kotlin-language-version-configured": "true",
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<recent name="C:\Git\ProjektGraph" />
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@ -43,13 +43,7 @@ public class OurApplication {
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*/
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public static void main(String[]args){
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Random random = new Random();
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DirectedGraph<VertexMarking, EdgeMarking> myGraph = new DirectedGraph<>();
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ExampleGraphs temp = new ExampleGraphs();
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//myGraph = temp.example2();
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//sean: Ich wollte erst hier dann das ausgewählte Beispiel reinhauen, jedoch wird das hier nur einmal am Anfang aufgerufen
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System.out.println(myGraph.toString());
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@ -1,24 +1,30 @@
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package graph;
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import java.awt.*;
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import java.util.ArrayList;
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import java.util.List;
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/**
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* Class containing example graphs for demonstration purposes.
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*/
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public class ExampleGraphs {
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/**
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* Creates an example graph suitable for demonstrating Dijkstra's and A* algorithms.
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* This graph contains multiple nodes connected by weighted edges, allowing efficient
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* calculation of shortest paths from a start node to an end node.
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*
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* @return Directed graph instance for example 1.
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*/
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public DirectedGraph<VertexMarking, EdgeMarking> example1() {
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/*
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* Erstellt einen Beispielgraphen (Beispiel 4), der sich ideal für die Demonstration der Funktionsweise
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* Erstellt einen Beispielgraphen, der sich ideal für die Demonstration der Funktionsweise
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* des Dijkstra- und A*-Algorithmus eignet. Der Graph enthält eine Vielzahl von Knoten, die durch
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* gewichtete Kanten verbunden sind. Dies ermöglicht es, den kürzesten Weg von einem Startknoten zu einem
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* Zielknoten effizient zu berechnen und die Unterschiede zwischen den beiden Algorithmen in der
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* Pfadfindung zu veranschaulichen.
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*
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* Zielknoten effizient zu berechnen und die Pfadfindung der beiden Algorithmen zu veranschaulichen.
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*
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*/
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DirectedGraph<VertexMarking, EdgeMarking> example4 = new DirectedGraph<>();
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DirectedGraph<VertexMarking, EdgeMarking> example1 = new DirectedGraph<>();
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// Erstellung der Knoten mit Koordinaten
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MarkedVertex<VertexMarking> A = new MarkedVertex<>(50, 250, "Start", null, null);
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@ -32,48 +38,53 @@ public class ExampleGraphs {
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// Hinzufügen der Knoten zum Graphen
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example4.addVertex(A);
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example4.addVertex(B);
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example4.addVertex(C);
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example4.addVertex(D);
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example4.addVertex(E);
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example4.addVertex(F);
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example4.addVertex(G);
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example4.addVertex(H);
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example1.addVertex(A);
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example1.addVertex(B);
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example1.addVertex(C);
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example1.addVertex(D);
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example1.addVertex(E);
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example1.addVertex(F);
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example1.addVertex(G);
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example1.addVertex(H);
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// Erstellung der Kanten mit Gewichtungen
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example4.addEdge(new MarkedEdge<>("AB", A, B, new EdgeWeightMarking(4)));
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example4.addEdge(new MarkedEdge<>("AC", A, C, new EdgeWeightMarking(2)));
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example4.addEdge(new MarkedEdge<>("BC", B, C, new EdgeWeightMarking(5)));
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example4.addEdge(new MarkedEdge<>("BD", B, D, new EdgeWeightMarking(10)));
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example4.addEdge(new MarkedEdge<>("CD", C, D, new EdgeWeightMarking(3)));
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example4.addEdge(new MarkedEdge<>("CE", C, E, new EdgeWeightMarking(7)));
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example4.addEdge(new MarkedEdge<>("DE", D, E, new EdgeWeightMarking(2)));
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example4.addEdge(new MarkedEdge<>("DF", D, F, new EdgeWeightMarking(2)));
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example4.addEdge(new MarkedEdge<>("EF", E, F, new EdgeWeightMarking(5)));
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example4.addEdge(new MarkedEdge<>("EG", E, G, new EdgeWeightMarking(10)));
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example4.addEdge(new MarkedEdge<>("FG", F, G, new EdgeWeightMarking(3)));
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example4.addEdge(new MarkedEdge<>("FH", F, H, new EdgeWeightMarking(6)));
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example4.addEdge(new MarkedEdge<>("GH", G, H, new EdgeWeightMarking(1)));
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example1.addEdge(new MarkedEdge<>("AB", A, B, new EdgeWeightMarking(4)));
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example1.addEdge(new MarkedEdge<>("AC", A, C, new EdgeWeightMarking(2)));
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example1.addEdge(new MarkedEdge<>("BC", B, C, new EdgeWeightMarking(5)));
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example1.addEdge(new MarkedEdge<>("BD", B, D, new EdgeWeightMarking(10)));
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example1.addEdge(new MarkedEdge<>("CD", C, D, new EdgeWeightMarking(3)));
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example1.addEdge(new MarkedEdge<>("CE", C, E, new EdgeWeightMarking(7)));
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example1.addEdge(new MarkedEdge<>("DE", D, E, new EdgeWeightMarking(2)));
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example1.addEdge(new MarkedEdge<>("DF", D, F, new EdgeWeightMarking(2)));
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example1.addEdge(new MarkedEdge<>("EF", E, F, new EdgeWeightMarking(5)));
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example1.addEdge(new MarkedEdge<>("EG", E, G, new EdgeWeightMarking(10)));
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example1.addEdge(new MarkedEdge<>("FG", F, G, new EdgeWeightMarking(3)));
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example1.addEdge(new MarkedEdge<>("FH", F, H, new EdgeWeightMarking(6)));
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example1.addEdge(new MarkedEdge<>("GH", G, H, new EdgeWeightMarking(1)));
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return example4;
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return example1;
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}
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/**
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* Creates an example grid graph where each node is connected to its horizontal and vertical neighbors.
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* All edges have the same weight. The start node is in one corner of the grid, and the end node is
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* in the opposite corner, demonstrating the efficiency of the A* algorithm in structured grid graphs.
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*
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* @return Directed graph instance for example 2.
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*/
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public DirectedGraph<VertexMarking, EdgeMarking> example2() {
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/*
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* Beispiel 1 zeigt ein Gitter aus Knoten und Kanten, bei dem jeder Knoten mit
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* Beispiel 2 zeigt ein Gitter aus Knoten und Kanten, bei dem jeder Knoten mit
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* seinen horizontal und vertikal benachbarten Knoten verbunden ist. Alle Kanten
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* haben die gleiche Gewichtung. Der Startknoten befindet sich in einer Ecke
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* des Gitters und der Zielknoten in der gegenüberliegenden Ecke.
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*
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* Ziel:
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* Demonstrieren, wie der A*-Algorithmus durch gezieltere Suche effizienter ist
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* des Gitters und der Zielknoten in der gegenüberliegenden Ecke. Dadurch wird gezeigt,
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* wie der A*-Algorithmus durch gezieltere Suche effizienter ist
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* als der Dijkstra-Algorithmus in einem strukturierten Gittergraphen.
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*
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*/
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DirectedGraph<VertexMarking, EdgeMarking> example1 = new DirectedGraph<>();
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DirectedGraph<VertexMarking, EdgeMarking> example2 = new DirectedGraph<>();
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int size = 5;
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MarkedVertex<VertexMarking>[][] vertices = new MarkedVertex[size][size];
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@ -88,7 +99,7 @@ public class ExampleGraphs {
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name = "Ende";
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}
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vertices[row][col] = new MarkedVertex<>(50 + col * 100, 50 + row * 100, name, null, null);
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example1.addVertex(vertices[row][col]);
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example2.addVertex(vertices[row][col]);
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}
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}
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@ -96,36 +107,36 @@ public class ExampleGraphs {
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for (int row = 0; row < size; row++) {
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for (int col = 0; col < size; col++) {
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if (col < size - 1) {
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addBidirectionalEdge(example1, vertices[row][col], vertices[row][col + 1], new EdgeWeightMarking(1));
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addBidirectionalEdge(example2, vertices[row][col], vertices[row][col + 1], new EdgeWeightMarking(1));
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}
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if (row < size - 1) {
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addBidirectionalEdge(example1, vertices[row][col], vertices[row + 1][col], new EdgeWeightMarking(1));
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addBidirectionalEdge(example2, vertices[row][col], vertices[row + 1][col], new EdgeWeightMarking(1));
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}
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}
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}
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return example1;
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}
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private void addBidirectionalEdge(DirectedGraph<VertexMarking, EdgeMarking> graph, MarkedVertex<VertexMarking> from, MarkedVertex<VertexMarking> to, EdgeWeightMarking weight) {
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MarkedEdge<EdgeMarking> forwardEdge = new MarkedEdge<>("edge" + from.getName() + "_" + to.getName(), from, to, weight);
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MarkedEdge<EdgeMarking> backwardEdge = new MarkedEdge<>("edge" + to.getName() + "_" + from.getName(), to, from, weight);
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graph.addEdge(forwardEdge);
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graph.addEdge(backwardEdge);
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return example2;
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}
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/**
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* Creates an example graph illustrating two paths from a start node to an end node with different characteristics:
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* one path with few nodes and mostly low-weight edges, and another path with more nodes and higher-weight edges.
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* The algorithms will alternate exploration between these paths.
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*
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* @return Directed graph instance for example 3.
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*/
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public DirectedGraph<VertexMarking, EdgeMarking> example3() {
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DirectedGraph<VertexMarking, EdgeMarking> example2 = new DirectedGraph<>();
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/*
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* Beispiel 2 zeigt zwei Wege von einem Startknoten zu einem Zielknoten mit unterschiedlichen Eigenschaften:
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* Ein Weg (oben) hat wenige Knoten mit Kanten geringer Gewichtung, außer der letzten Kante, die hohe Gewichtung hat.
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* Der andere Weg (unten) hat mehr Knoten mit höherer Gewichtung der Kanten. Der Algorithmus sollte zuerst den oberen
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* Weg erkunden, bis er die hohe Gewichtung der letzten Kante des unteren Wegs berücksichtigt.
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* Beispiel 3 zeigt zwei Wege von einem Startknoten zu einem Zielknoten mit unterschiedlichen Eigenschaften:
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* Ein Weg (oben) hat wenige Knoten mit Kanten geringer Gewichtung, außer der vorletzten Kante, die hohe Gewichtung hat.
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* Der andere Weg (unten) hat mehr Knoten mit höherer Gewichtung der Kanten. Die Algorithmen wechseln also mit dem Erkunden
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* zwischen den beiden Pfaden.
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*
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*/
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DirectedGraph<VertexMarking, EdgeMarking> example3 = new DirectedGraph<>();
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MarkedVertex A = new MarkedVertex<>(100, 100, "Start", null, null);
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MarkedVertex B = new MarkedVertex<>(250, 50, "B", null, null);
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MarkedVertex C = new MarkedVertex<>(400, 100, "C", null, null);
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@ -134,38 +145,44 @@ public class ExampleGraphs {
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MarkedVertex F = new MarkedVertex<>(250, 200, "F", null, null);
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MarkedVertex G = new MarkedVertex<>(550, 200, "G", null, null);
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example2.addVertex(A);
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example2.addVertex(B);
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example2.addVertex(C);
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example2.addVertex(D);
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example2.addVertex(E);
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example2.addVertex(F);
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example2.addVertex(G);
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example3.addVertex(A);
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example3.addVertex(B);
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example3.addVertex(C);
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example3.addVertex(D);
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example3.addVertex(E);
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example3.addVertex(F);
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example3.addVertex(G);
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example2.addEdge(new MarkedEdge<>("AB", A, B, new EdgeWeightMarking(1)));
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example2.addEdge(new MarkedEdge<>("BC", B, C, new EdgeWeightMarking(1)));
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example2.addEdge(new MarkedEdge<>("CD", C, D, new EdgeWeightMarking(10)));
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example2.addEdge(new MarkedEdge<>("DE", D, E, new EdgeWeightMarking(1)));
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example3.addEdge(new MarkedEdge<>("AB", A, B, new EdgeWeightMarking(1)));
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example3.addEdge(new MarkedEdge<>("BC", B, C, new EdgeWeightMarking(1)));
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example3.addEdge(new MarkedEdge<>("CD", C, D, new EdgeWeightMarking(10)));
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example3.addEdge(new MarkedEdge<>("DE", D, E, new EdgeWeightMarking(1)));
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example2.addEdge(new MarkedEdge<>("AF", A, F, new EdgeWeightMarking(5)));
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example2.addEdge(new MarkedEdge<>("FG", F, G, new EdgeWeightMarking(5)));
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example2.addEdge(new MarkedEdge<>("GE", G, E, new EdgeWeightMarking(5)));
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example3.addEdge(new MarkedEdge<>("AF", A, F, new EdgeWeightMarking(5)));
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example3.addEdge(new MarkedEdge<>("FG", F, G, new EdgeWeightMarking(5)));
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example3.addEdge(new MarkedEdge<>("GE", G, E, new EdgeWeightMarking(5)));
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return example2;
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return example3;
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}
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/**
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* Creates an example labyrinth graph with four horizontal paths, each consisting of four nodes.
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* Each path leads to a respective endpoint, demonstrating how algorithms may explore potentially incorrect paths
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* before finding the correct one, and showing the efficiency of A* in finding the correct path quickly.
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*
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* @return Directed graph instance for example 4.
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*/
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public DirectedGraph<VertexMarking, EdgeMarking> example4() {
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/*
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* Beispiel 3 zeigt ein Labyrinth mit vier horizontalen Wegen, die jeweils aus vier Knoten bestehen.
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* Jeder Weg führt zum Endpunkt E1, E2, E3 bzw. E4. Ziel ist es zu zeigen, dass die Algorithmen auch
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* potenziell falsche Wege erkunden können, bevor sie den richtigen Endpunkt erreichen.
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* Beispiel 4 zeigt ein Labyrinth mit vier horizontalen Wegen, die jeweils aus vier Knoten bestehen.
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* Jeder Weg führt zum Endpunkt E1, E2, E3 bzw. Ende. Ziel ist es zu zeigen, dass die Algorithmen auch
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* potenziell falsche Wege erkunden können, bevor sie den Endknoten erreichen. Zudem wird gezeigt,
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* wie A* schnell den richtigen Weg findet, während Djkstra alle Wege durchsucht.
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*
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*/
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DirectedGraph<VertexMarking, EdgeMarking> example3 = new DirectedGraph<>();
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DirectedGraph<VertexMarking, EdgeMarking> example4 = new DirectedGraph<>();
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// Startpunkt A in der Mitte der Y-Koordinate
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MarkedVertex A = new MarkedVertex<>(100, 250, "Start", null, null);
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@ -194,46 +211,59 @@ public class ExampleGraphs {
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MarkedVertex D4 = new MarkedVertex<>(400, 400, "D4", null, null);
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MarkedVertex E4 = new MarkedVertex<>(500, 400, "Ende", null, null); // Endpunkt des vierten Weges
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example3.addVertex(A);
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example3.addVertex(B1);
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example3.addVertex(C1);
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example3.addVertex(D1);
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example3.addVertex(B2);
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example3.addVertex(C2);
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example3.addVertex(D2);
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example3.addVertex(B3);
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example3.addVertex(C3);
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example3.addVertex(D3);
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example3.addVertex(B4);
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example3.addVertex(C4);
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example3.addVertex(D4);
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example3.addVertex(E1);
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example3.addVertex(E2);
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example3.addVertex(E3);
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example3.addVertex(E4);
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example4.addVertex(A);
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example4.addVertex(B1);
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example4.addVertex(C1);
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example4.addVertex(D1);
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example4.addVertex(B2);
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example4.addVertex(C2);
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example4.addVertex(D2);
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example4.addVertex(B3);
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example4.addVertex(C3);
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example4.addVertex(D3);
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example4.addVertex(B4);
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example4.addVertex(C4);
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example4.addVertex(D4);
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example4.addVertex(E1);
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example4.addVertex(E2);
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example4.addVertex(E3);
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example4.addVertex(E4);
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example3.addEdge(new MarkedEdge<>("AB1", A, B1, new EdgeWeightMarking(1)));
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example3.addEdge(new MarkedEdge<>("AB2", A, B2, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("AB3", A, B3, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("AB4", A, B4, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("AB1", A, B1, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("AB2", A, B2, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("AB3", A, B3, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("AB4", A, B4, new EdgeWeightMarking(1)));
|
||||
|
||||
example3.addEdge(new MarkedEdge<>("B1C1", B1, C1, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("B2C2", B2, C2, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("B3C3", B3, C3, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("B4C4", B4, C4, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("B1C1", B1, C1, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("B2C2", B2, C2, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("B3C3", B3, C3, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("B4C4", B4, C4, new EdgeWeightMarking(1)));
|
||||
|
||||
example3.addEdge(new MarkedEdge<>("C1D1", C1, D1, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("C2D2", C2, D2, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("C3D3", C3, D3, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("C4D4", C4, D4, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("C1D1", C1, D1, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("C2D2", C2, D2, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("C3D3", C3, D3, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("C4D4", C4, D4, new EdgeWeightMarking(1)));
|
||||
|
||||
example3.addEdge(new MarkedEdge<>("D1E1", D1, E1, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("D2E2", D2, E2, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("D3E3", D3, E3, new EdgeWeightMarking(1)));
|
||||
example3.addEdge(new MarkedEdge<>("D4E4", D4, E4, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("D1E1", D1, E1, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("D2E2", D2, E2, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("D3E3", D3, E3, new EdgeWeightMarking(1)));
|
||||
example4.addEdge(new MarkedEdge<>("D4E4", D4, E4, new EdgeWeightMarking(1)));
|
||||
|
||||
return example3;
|
||||
}
|
||||
return example4;
|
||||
}
|
||||
|
||||
|
||||
/**
|
||||
* Helper method to add a bidirectional edge between two vertices in a graph.
|
||||
*
|
||||
* @param graph The graph instance where the edge should be added.
|
||||
* @param from The starting vertex of the edge.
|
||||
* @param to The ending vertex of the edge.
|
||||
* @param weight The weight marking of the edge.
|
||||
*/
|
||||
private void addBidirectionalEdge(DirectedGraph<VertexMarking, EdgeMarking> graph, MarkedVertex<VertexMarking> from, MarkedVertex<VertexMarking> to, EdgeWeightMarking weight) {
|
||||
MarkedEdge<EdgeMarking> forwardEdge = new MarkedEdge<>("edge" + from.getName() + "_" + to.getName(), from, to, weight);
|
||||
MarkedEdge<EdgeMarking> backwardEdge = new MarkedEdge<>("edge" + to.getName() + "_" + from.getName(), to, from, weight);
|
||||
graph.addEdge(forwardEdge);
|
||||
graph.addEdge(backwardEdge);
|
||||
}
|
||||
}
|
||||
|
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Reference in New Issue
Block a user