JavaDoc ExampleGraphs

This commit is contained in:
Sean Reich 2024-07-08 18:26:18 +02:00
parent 7014e9308c
commit 6206aa8791
5 changed files with 152 additions and 134 deletions

32
.idea/workspace.xml generated
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@ -6,15 +6,9 @@
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@ -46,17 +40,17 @@
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@ -43,13 +43,7 @@ public class OurApplication {
*/ */
public static void main(String[]args){ public static void main(String[]args){
Random random = new Random();
DirectedGraph<VertexMarking, EdgeMarking> myGraph = new DirectedGraph<>(); DirectedGraph<VertexMarking, EdgeMarking> myGraph = new DirectedGraph<>();
ExampleGraphs temp = new ExampleGraphs();
//myGraph = temp.example2();
//sean: Ich wollte erst hier dann das ausgewählte Beispiel reinhauen, jedoch wird das hier nur einmal am Anfang aufgerufen
System.out.println(myGraph.toString()); System.out.println(myGraph.toString());

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