17.boost dijkstra最短路径算法

Posted 2020-10-29 喵小喵~

到某个点的最短距离                到终点的最短路径

 

完整代码

 1 #include <iostream>
 2 #include <string>
 3 #include <utility>
 4 #include <vector>
 5 #include <deque>
 6 #include <boost/graph/adjacency_list.hpp>
 7 //A*寻路算法
 8 #include <boost\\graph\\astar_search.hpp>
 9 #include <boost\\graph\\dijkstra_shortest_paths.hpp>
10 using namespace std;
11 using namespace boost;
12 
13 
14 void main()
15 {
16     //定义图的种类
17     typedef adjacency_list<listS, vecS, directedS, no_property, property<edge_weight_t, double>> graph_t;
18     //定义相关类型
19     typedef graph_traits<graph_t>::vertex_descriptor vertex_desciptor;
20     typedef graph_traits<graph_t>::edge_descriptor edge_descriptor;
21     typedef pair<int, int> Edge;
22 
23     //定义结点和边的相关对象和属性
24     enum nodes { A, B, C, D, E, F, G, H, N };
25     char name[] = "ABCDEFGH";
26     //创建边
27     Edge edge_array[] = { Edge(A,B),Edge(A,C),Edge(B,D),Edge(B,E),Edge(C,E),
28     Edge(C,F),Edge(F,G),Edge(G,H),Edge(E,H),Edge(D,E),Edge(D,H) };
29     //定义边的权重
30     double weights[] = { 5,1,1.3,3,10,2,1.2,0.5,1.3,0.4,6.3 };
31     //边的数量
32     int num_arcs = sizeof(edge_array) / sizeof(Edge);
33 
34     //生成被建模的图对象
35     //     边数组头地址      边数组尾地址       定义权重     结点数量
36     graph_t g(edge_array, edge_array + num_arcs, weights,       N);
37 
38     //p用于放置最短路径生成树的各个顶点的下一个节点
39     std::vector<vertex_desciptor> p(num_vertices(g));
40     //d用于放置从近到远的路径距离
41     std::vector<double> d(num_vertices(g));
42     //待求最短路径的源顶点
43     vertex_desciptor s = vertex(A, g);
44 
45     //对图g的A顶点(s为它的描述器,即从哪个点开始)应用dijkstra算法
46     //作为结果的距离矢量保存在d数组中
47     //最短路径树上的父节点保存在p数组中
48     dijkstra_shortest_paths(g, s, predecessor_map(&p[0]).distance_map(&d[0]));
49     std::cout << "最短路径延时(ms)" << "\\t最短路径树的父节点:" << std::endl;
50     //输出结果到屏幕
51     graph_traits <graph_t>::vertex_iterator vi, vend;
52     for (tie(vi, vend) = vertices(g); vi != vend; vi++)
53     {
54         std::cout << "路径距离(" << name[*vi] << ") = " << d[*vi] << ",\\t";
55         std::cout << "父节点(" << name[*vi] << ") = " << name[p[*vi]] << endl;
56     }
57     cout << endl;
58     system("pause");
59 }