Path.java

import java.util.Vector;
import java.util.Stack;

public class Path {

    private Graph G;   // 图的引用
    private int s;     // 起始点
    private boolean[] visited;  // 记录dfs的过程中节点是否被访问
    private int[] from;         // 记录路径, from[i]表示查找的路径上i的上一个节点

    // 图的深度优先遍历
    private void dfs( int v ){
        visited[v] = true;
        for( int i : G.adj(v) )
            if( !visited[i] ){
                from[i] = v;
                dfs(i);
            }
    }

    // 构造函数, 寻路算法, 寻找图graph从s点到其他点的路径
    public Path(Graph graph, int s){

        // 算法初始化
        G = graph;
        assert s >= 0 && s < G.V();

        visited = new boolean[G.V()];
        from = new int[G.V()];
        for( int i = 0 ; i < G.V() ; i ++ ){
            visited[i] = false;
            from[i] = -1;
        }
        this.s = s;

        // 寻路算法
        dfs(s);
    }

    // 查询从s点到w点是否有路径
    boolean hasPath(int w){
        assert w >= 0 && w < G.V();
        return visited[w];
    }

    // 查询从s点到w点的路径, 存放在vec中
    Vector<Integer> path(int w){

        assert hasPath(w) ;

        Stack<Integer> s = new Stack<Integer>();
        // 通过from数组逆向查找到从s到w的路径, 存放到栈中
        int p = w;
        while( p != -1 ){
            s.push(p);
            p = from[p];
        }

        // 从栈中依次取出元素, 获得顺序的从s到w的路径
        Vector<Integer> res = new Vector<Integer>();
        while( !s.empty() )
            res.add( s.pop() );

        return res;
    }

    // 打印出从s点到w点的路径
    void showPath(int w){

        assert hasPath(w) ;

        Vector<Integer> vec = path(w);
        for( int i = 0 ; i < vec.size() ; i ++ ){
            System.out.print(vec.elementAt(i));
            if( i == vec.size() - 1 )
                System.out.println();
            else
                System.out.print(" -> ");
        }
    }

    // 测试寻路算法
    public static void main(String[] args) {

        String filename = "testG.txt";
        SparseGraph g = new SparseGraph(7, false);
        ReadGraph readGraph = new ReadGraph(g, filename);
        g.show();
        System.out.println();

        Path path = new Path(g,0);
        System.out.println("Path from 0 to 6 : ");
        path.showPath(6);
    }
}