|
12 | 12 | */ |
13 | 13 | public class AStarSearch { |
14 | 14 |
|
15 | | - static class Node implements Comparable<Node> { |
16 | | - int id; |
17 | | - double g; // Cost from start |
18 | | - double h; // Heuristic to goal |
19 | | - double f; // Total cost = g + h |
20 | | - Node parent; |
21 | | - |
22 | | - Node(int id, double g, double h, Node parent) { |
23 | | - this.id = id; |
24 | | - this.g = g; |
25 | | - this.h = h; |
26 | | - this.f = g + h; |
27 | | - this.parent = parent; |
28 | | - } |
29 | | - |
30 | | - @Override |
31 | | - public int compareTo(Node o) { |
32 | | - return Double.compare(this.f, o.f); |
33 | | - } |
34 | | - } |
35 | | - |
36 | | - private final Map<Integer, List<int[]>> graph; |
37 | | - |
38 | | - public AStarSearch() { |
39 | | - graph = new HashMap<>(); |
40 | | - } |
41 | | - |
42 | | - /** |
43 | | - * Adds an undirected edge between nodes u and v with the given weight. |
44 | | - */ |
45 | | - public void addEdge(int u, int v, int weight) { |
46 | | - graph.computeIfAbsent(u, k -> new ArrayList<>()).add(new int[]{v, weight}); |
47 | | - graph.computeIfAbsent(v, k -> new ArrayList<>()).add(new int[]{u, weight}); |
48 | | - } |
49 | | - |
50 | | - /** |
51 | | - * Heuristic function (simplified for numeric nodes). |
52 | | - */ |
53 | | - private double heuristic(int node, int goal) { |
54 | | - return Math.abs(goal - node); |
55 | | - } |
56 | | - |
57 | | - /** |
58 | | - * Finds the shortest path from start to goal using A* algorithm. |
59 | | - * |
60 | | - * @param start starting node |
61 | | - * @param goal goal node |
62 | | - * @return list of nodes representing the shortest path |
63 | | - */ |
64 | | - public List<Integer> findPath(int start, int goal) { |
65 | | - PriorityQueue<Node> openSet = new PriorityQueue<>(); |
66 | | - Map<Integer, Double> gScore = new HashMap<>(); |
67 | | - Set<Integer> closedSet = new HashSet<>(); |
68 | | - |
69 | | - openSet.add(new Node(start, 0, heuristic(start, goal), null)); |
70 | | - gScore.put(start, 0.0); |
71 | | - |
72 | | - while (!openSet.isEmpty()) { |
73 | | - Node current = openSet.poll(); |
74 | | - |
75 | | - if (current.id == goal) { |
76 | | - return reconstructPath(current); |
77 | | - } |
78 | | - |
79 | | - closedSet.add(current.id); |
80 | | - |
81 | | - for (int[] edge : graph.getOrDefault(current.id, new ArrayList<>())) { |
82 | | - int neighbor = edge[0]; |
83 | | - double tentativeG = current.g + edge[1]; |
84 | | - |
85 | | - if (closedSet.contains(neighbor)) continue; |
86 | | - |
87 | | - if (tentativeG < gScore.getOrDefault(neighbor, Double.MAX_VALUE)) { |
88 | | - gScore.put(neighbor, tentativeG); |
89 | | - Node next = new Node(neighbor, tentativeG, heuristic(neighbor, goal), current); |
90 | | - openSet.add(next); |
91 | | - } |
92 | | - } |
93 | | - } |
94 | | - return Collections.emptyList(); |
95 | | - } |
96 | | - |
97 | | - /** |
98 | | - * Reconstructs path by following parent nodes. |
99 | | - */ |
100 | | - private List<Integer> reconstructPath(Node node) { |
101 | | - List<Integer> path = new ArrayList<>(); |
102 | | - while (node != null) { |
103 | | - path.add(node.id); |
104 | | - node = node.parent; |
105 | | - } |
106 | | - Collections.reverse(path); |
107 | | - return path; |
108 | | - } |
109 | | - |
110 | | - /** Dynamic usage: reads graph and start/goal from input */ |
111 | | - public static void main(String[] args) { |
112 | | - Scanner sc = new Scanner(System.in); |
113 | | - AStarSearch aStar = new AStarSearch(); |
114 | | - |
115 | | - System.out.print("Enter number of edges: "); |
116 | | - int edges = sc.nextInt(); |
117 | | - |
118 | | - System.out.println("Enter edges in format: u v weight"); |
119 | | - for (int i = 0; i < edges; i++) { |
120 | | - int u = sc.nextInt(); |
121 | | - int v = sc.nextInt(); |
122 | | - int w = sc.nextInt(); |
123 | | - aStar.addEdge(u, v, w); |
124 | | - } |
125 | | - |
126 | | - System.out.print("Enter start node: "); |
127 | | - int start = sc.nextInt(); |
128 | | - |
129 | | - System.out.print("Enter goal node: "); |
130 | | - int goal = sc.nextInt(); |
131 | | - |
132 | | - List<Integer> path = aStar.findPath(start, goal); |
133 | | - if (path.isEmpty()) { |
134 | | - System.out.println("No path found from " + start + " → " + goal); |
135 | | - } else { |
136 | | - System.out.println("Shortest path from " + start + " → " + goal + ": " + path); |
137 | | - } |
138 | | - sc.close(); |
139 | | - } |
| 15 | + @FunctionalInterface |
| 16 | + public interface Heuristic { |
| 17 | + double estimate(int node, int goal); |
| 18 | + } |
| 19 | + |
| 20 | + static class Node implements Comparable<Node> { |
| 21 | + int id; |
| 22 | + double g; // Cost from start |
| 23 | + double h; // Heuristic to goal |
| 24 | + double f; // Total cost = g + h |
| 25 | + Node parent; |
| 26 | + |
| 27 | + Node(int id, double g, double h, Node parent) { |
| 28 | + this.id = id; |
| 29 | + this.g = g; |
| 30 | + this.h = h; |
| 31 | + this.f = g + h; |
| 32 | + this.parent = parent; |
| 33 | + } |
| 34 | + |
| 35 | + @Override |
| 36 | + public int compareTo(Node o) { |
| 37 | + return Double.compare(this.f, o.f); |
| 38 | + } |
| 39 | + |
| 40 | + @Override |
| 41 | + public boolean equals(Object o) { |
| 42 | + if (this == o) return true; |
| 43 | + if (!(o instanceof Node)) return false; |
| 44 | + Node node = (Node) o; |
| 45 | + return id == node.id; |
| 46 | + } |
| 47 | + |
| 48 | + @Override |
| 49 | + public int hashCode() { |
| 50 | + return Objects.hash(id); |
| 51 | + } |
| 52 | + } |
| 53 | + |
| 54 | + private final Map<Integer, List<int[]>> graph; |
| 55 | + private final Heuristic heuristic; |
| 56 | + |
| 57 | + /** |
| 58 | + * Constructor with default heuristic (|goal - node|). |
| 59 | + */ |
| 60 | + public AStarSearch() { |
| 61 | + this.graph = new HashMap<>(); |
| 62 | + this.heuristic = (node, goal) -> Math.abs(goal - node); |
| 63 | + } |
| 64 | + |
| 65 | + /** |
| 66 | + * Constructor with custom heuristic. |
| 67 | + */ |
| 68 | + public AStarSearch(Heuristic heuristic) { |
| 69 | + this.graph = new HashMap<>(); |
| 70 | + this.heuristic = heuristic; |
| 71 | + } |
| 72 | + |
| 73 | + /** |
| 74 | + * Adds an undirected edge between nodes u and v with the given weight. |
| 75 | + */ |
| 76 | + public void addEdge(int u, int v, int weight) { |
| 77 | + graph.computeIfAbsent(u, k -> new ArrayList<>()).add(new int[]{v, weight}); |
| 78 | + graph.computeIfAbsent(v, k -> new ArrayList<>()).add(new int[]{u, weight}); |
| 79 | + } |
| 80 | + |
| 81 | + /** |
| 82 | + * Finds the shortest path from start to goal using A* algorithm. |
| 83 | + * |
| 84 | + * @param start starting node |
| 85 | + * @param goal goal node |
| 86 | + * @return list of nodes representing the shortest path |
| 87 | + */ |
| 88 | + public List<Integer> findPath(int start, int goal) { |
| 89 | + PriorityQueue<Node> openSet = new PriorityQueue<>(); |
| 90 | + Map<Integer, Double> gScore = new HashMap<>(); |
| 91 | + Set<Integer> closedSet = new HashSet<>(); |
| 92 | + |
| 93 | + openSet.add(new Node(start, 0, heuristic.estimate(start, goal), null)); |
| 94 | + gScore.put(start, 0.0); |
| 95 | + |
| 96 | + while (!openSet.isEmpty()) { |
| 97 | + Node current = openSet.poll(); |
| 98 | + |
| 99 | + if (current.id == goal) return reconstructPath(current); |
| 100 | + |
| 101 | + closedSet.add(current.id); |
| 102 | + |
| 103 | + for (int[] edge : graph.getOrDefault(current.id, new ArrayList<>())) { |
| 104 | + int neighbor = edge[0]; |
| 105 | + double tentativeG = current.g + edge[1]; |
| 106 | + |
| 107 | + if (closedSet.contains(neighbor)) continue; |
| 108 | + |
| 109 | + if (tentativeG < gScore.getOrDefault(neighbor, Double.MAX_VALUE)) { |
| 110 | + gScore.put(neighbor, tentativeG); |
| 111 | + Node next = new Node(neighbor, tentativeG, heuristic.estimate(neighbor, goal), current); |
| 112 | + openSet.add(next); |
| 113 | + } |
| 114 | + } |
| 115 | + } |
| 116 | + return Collections.emptyList(); |
| 117 | + } |
| 118 | + |
| 119 | + /** |
| 120 | + * Reconstructs path by following parent nodes. |
| 121 | + */ |
| 122 | + private List<Integer> reconstructPath(Node node) { |
| 123 | + List<Integer> path = new ArrayList<>(); |
| 124 | + while (node != null) { |
| 125 | + path.add(node.id); |
| 126 | + node = node.parent; |
| 127 | + } |
| 128 | + Collections.reverse(path); |
| 129 | + return path; |
| 130 | + } |
140 | 131 | } |
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