Adjusted small things, norhting serious

src/app/pages/algorithms/pathfinding/pathfinding.component.html

@@ -13,9 +13,23 @@
       <strong>A*</strong> {{ 'PATHFINDING.EXPLANATION.ASTAR_EXPLANATION' | translate}}
       <a href="{{UrlConstants.ASTAR_WIKI}}" target="_blank" rel="noopener noreferrer">Wikipedia</a>
     </p>
+
+    <p>
+      <strong>{{ 'PATHFINDING.EXPLANATION.NOTE' | translate}}</strong> {{ 'PATHFINDING.EXPLANATION.DISCLAIMER' | translate}}
+    </p>
   </div>
 
   <div class="controls-container">
+    <div class="controls">
+      <button matButton="filled" (click)="visualizeDijkstra()">{{ 'PATHFINDING.DIJKSTRA' | translate }}</button>
+      <button matButton="filled" (click)="visualizeAStar()">{{ 'PATHFINDING.ASTAR' | translate }}</button>
+    </div>
+    <div class="controls">
+      <button matButton="filled" (click)="normalCase()">{{ 'PATHFINDING.NORMAL_CASE' | translate }}</button>
+      <button matButton="filled" (click)="edgeCase()">{{ 'PATHFINDING.EDGE_CASE' | translate }}</button>
+      <button matButton="filled" (click)="clearBoard()">{{ 'PATHFINDING.CLEAR_BOARD' | translate }}</button>
+    </div>
+
     <div class="controls">
       <mat-button-toggle-group [(ngModel)]="selectedNodeType" aria-label="Node Type Selection">
         <mat-button-toggle [value]="NodeType.Start">{{ 'PATHFINDING.START_NODE' | translate }}</mat-button-toggle>
@@ -25,14 +39,6 @@
       </mat-button-toggle-group>
     </div>
 
-    <div class="controls">
-      <button matButton="filled" (click)="visualizeDijkstra()">{{ 'PATHFINDING.DIJKSTRA' | translate }}</button>
-      <button matButton="filled" (click)="visualizeAStar()">{{ 'PATHFINDING.ASTAR' | translate }}</button>
-      <button matButton="filled" (click)="normalCase()">{{ 'PATHFINDING.NORMAL_CASE' | translate }}</button>
-      <button matButton="filled" (click)="edgeCase()">{{ 'PATHFINDING.EDGE_CASE' | translate }}</button>
-      <button matButton="filled" (click)="clearBoard()">{{ 'PATHFINDING.CLEAR_BOARD' | translate }}</button>
-    </div>
-
     <div class="controls">
       <div class="grid-size">
         <mat-form-field appearance="outline" class="grid-field">

src/app/pages/algorithms/pathfinding/pathfinding.component.ts

@@ -163,6 +163,8 @@ export class PathfindingComponent implements AfterViewInit {
 
   // Mouse interactions
   private onMouseDown(event: MouseEvent): void {
+    this.stopAnimations();
+    this.clearPath();
     const pos = this.getGridPosition(event);
     if (!pos) {
       return;
@@ -263,7 +265,8 @@ export class PathfindingComponent implements AfterViewInit {
       isPath: false,
       distance: Infinity,
       previousNode: null,
-      fScore: 0
+      hScore: 0,
+      fScore: Infinity,
     };
   }
 

src/app/pages/algorithms/pathfinding/pathfinding.models.ts

@@ -9,6 +9,7 @@ export interface Node {
   distance: number;
   previousNode: Node | null;
   fScore: number;
+  hScore: number;
 }
 
 export const DEFAULT_GRID_ROWS = 50;

src/app/pages/algorithms/pathfinding/service/pathfinding.service.ts

@@ -80,9 +80,9 @@ export class PathfindingService {
   aStar(grid: Node[][], startNode: Node, endNode: Node): { visitedNodesInOrder: Node[], nodesInShortestPathOrder: Node[] } {
     const visitedNodesInOrder: Node[] = [];
     startNode.distance = 0;
-    startNode['distance'] = this.calculateHeuristic(startNode, endNode);
+    startNode['hScore'] = this.calculateHeuristic(startNode, endNode);
     // fScore = gScore + hScore
-    startNode['fScore'] = startNode.distance + startNode['distance'];
+    startNode['fScore'] = startNode.distance + startNode['hScore'];
 
     const openSet: Node[] = [startNode];
     const allNodes = this.getAllNodes(grid);
@@ -90,7 +90,7 @@ export class PathfindingService {
     this.initNodesForAStar(allNodes, startNode);
 
     while (openSet.length > 0) {
-      openSet.sort((nodeA, nodeB) => nodeA['fScore'] - nodeB['fScore']);
+      this.sortOpenSet(openSet);
       const currentNode = openSet.shift() as Node;
 
       if (currentNode.isWall) {
@@ -125,11 +125,22 @@ export class PathfindingService {
     return { visitedNodesInOrder, nodesInShortestPathOrder: [] };
   }
 
+  private sortOpenSet(openSet: Node[]) {
+    openSet.sort((a, b) => {
+      const f = a['fScore'] - b['fScore'];
+      if (f !== 0) return f;
+
+      // tie-break: smaller heuristic first (more goal-directed)
+      return (a['hScore'] ?? 0) - (b['hScore'] ?? 0);
+    });
+  }
+
   private updateNeighborNode(neighbor: Node, currentNode: Node, tentativeGScore: number, endNode: Node, openSet: Node[]) {
     neighbor.previousNode = currentNode;
     neighbor.distance = tentativeGScore;
     neighbor['distance'] = this.calculateHeuristic(neighbor, endNode);
-    neighbor['fScore'] = neighbor.distance + neighbor['distance'];
+    neighbor['hScore'] = this.calculateHeuristic(neighbor, endNode);
+    neighbor['fScore'] = neighbor.distance + neighbor['hScore'];
 
     if (!openSet.includes(neighbor)) {
       openSet.push(neighbor);

src/assets/i18n/de.json

@@ -299,10 +299,10 @@
     "END_NODE": "Endknoten",
     "WALL": "Wand",
     "CLEAR_NODE": "Löschen",
-    "DIJKSTRA": "Dijkstra",
-    "ASTAR": "A*",
+    "DIJKSTRA": "Start Dijkstra",
+    "ASTAR": "Start A*",
     "NORMAL_CASE": "Testaufbau",
-    "EDGE_CASE": "A* Grenzfall",
+    "EDGE_CASE": "A* Grenzfall-Aufbau",
     "CLEAR_BOARD": "Board leeren",
     "VISITED": "Besucht",
     "PATH": "Pfad",
@@ -311,7 +311,9 @@
     "EXPLANATION": {
       "TITLE": "Algorithmen",
       "DIJKSTRA_EXPLANATION": " findet garantiert den kürzesten Weg, wenn alle Kantenkosten nicht-negativ sind. Vorteil: optimal und ohne Heuristik. Nachteil: besucht oft sehr viele Knoten (kann bei großen Grids langsamer wirken).",
-      "ASTAR_EXPLANATION": " erweitert Dijkstra um eine Heuristik (z.B. Manhattan-Distanz) und kann dadurch wesentlich zielgerichteter suchen. Vorteil: oft deutlich schneller bei guter Heuristik; bei zulässiger Heuristik bleibt der Weg optimal. Nachteil: hängt stark von der Heuristik ab (schlechte Heuristik ≈ Dijkstra)."
+      "ASTAR_EXPLANATION": " erweitert Dijkstra um eine Heuristik (z.B. Manhattan-Distanz) und kann dadurch wesentlich zielgerichteter suchen. Vorteil: oft deutlich schneller bei guter Heuristik; bei zulässiger Heuristik bleibt der Weg optimal. Nachteil: hängt stark von der Heuristik ab (schlechte Heuristik ≈ Dijkstra).",
+      "NOTE": "HINWEIS",
+      "DISCLAIMER": "Diese A*-Implementierung ist bewusst einfach gehalten. Es wird nur in vier Richtungen gegangen und jeder Schritt kostet 1. Die Heuristik ist minimal und dient nur dazu, das Prinzip von A* gegenüber Dijkstra zu demonstrieren. Ziel ist nicht ein optimaler oder produktionsreifer A*-Algorithmus, sondern eine anschauliche Visualisierung, wie Heuristiken die Suche beschleunigen können."
     },
     "ALERT": {
       "START_END_NODES": "Bitte wählen Sie einen Start- und Endknoten aus, bevor Sie den Algorithmus starten."

src/assets/i18n/en.json

@@ -299,10 +299,10 @@
     "END_NODE": "End Node",
     "WALL": "Wall",
     "CLEAR_NODE": "Clear",
-    "DIJKSTRA": "Dijkstra",
-    "ASTAR": "A*",
+    "DIJKSTRA": "Start Dijkstra",
+    "ASTAR": "Start A*",
     "NORMAL_CASE": "Test Scenario",
-    "EDGE_CASE": "A* Edge Case",
+    "EDGE_CASE": "A* Edge Case Scenario",
     "CLEAR_BOARD": "Clear Board",
     "VISITED": "Visited",
     "PATH": "Path",
@@ -311,7 +311,9 @@
     "EXPLANATION": {
       "TITLE": "Algorithms",
       "DIJKSTRA_EXPLANATION": " is guaranteed to find the shortest path if all edge costs are non-negative. Advantage: optimal and without heuristics. Disadvantage: often visits a large number of nodes (can be slower for large grids).",
-      "ASTAR_EXPLANATION": " extends Dijkstra with a heuristic (e.g. Manhattan distance) and can therefore search in a much more targeted manner. Advantage: often significantly faster with good heuristics; with permissible heuristics, the path remains optimal. Disadvantage: highly dependent on heuristics (poor heuristics ≈ Dijkstra)."
+      "ASTAR_EXPLANATION": " extends Dijkstra with a heuristic (e.g. Manhattan distance) and can therefore search in a much more targeted manner. Advantage: often significantly faster with good heuristics; with permissible heuristics, the path remains optimal. Disadvantage: highly dependent on heuristics (poor heuristics ≈ Dijkstra).",
+      "NOTE": "Note",
+      "DISCLAIMER": "This A* implementation is deliberately kept simple. It only moves in four directions and each step costs 1. The heuristic is minimal and only serves to demonstrate the principle of A* compared to Dijkstra. The goal is not an optimal or production-ready A* algorithm, but a clear visualisation of how heuristics can speed up the search."
     },
     "ALERT": {
       "START_END_NODES": "Please select a start and end node before running the algorithm."