11 数据结构课程设计小组任务11:Floyd算法的设计

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <string>
#include <vector>
#include <queue>
#include <sstream>
#include <stack>
#include <map>
#include <ctime>
#include <array>
#include <set>
#include <list>
using namespace std;

template <class TypeOfVer, class TypeOfEdge>//节点数值,边数值
class adjmatrix_graph {
private:
	int Vers;        //顶点(节点)数 
	int Edges;       //边数 
	//存放邻接矩阵(TypeOfEdge表示顶点关系类型。对于无权图,用1或0,表示相邻否;对于带权图,则为权值类型) 

	vector<vector<TypeOfEdge> >edge;//邻接矩阵
	TypeOfEdge noEdge;  //邻接矩阵中的∞的表示值

	vector<TypeOfVer> ver;    //存放结点值 

	string GraphKind;   //图的种类标志 

	bool have_dir = false, have_w = false;//图类型参数

public:
	adjmatrix_graph()
	{
		Vers = 0;
		Edges = 0;
		edge.clear();
		ver.clear();
		noEdge = 0;
	}
	~adjmatrix_graph()
	{
		;
	}
	//全自动输入 true is need 无边标记
	bool Auto_input(bool need_emp)//true is need 无边标记
	{
		//DG(有向图), DN(有向网), UDG(无向图), UDN(无向网)
		/*第一行:图的类型  DN UDN
		第二行:结点数
		第三行:结点集
		第四行:无边标记
		第五行:边数
		第六行:边集
		第七行:权集*/

		/*第一行:图的类型  DG UDG
		第二行:结点数
		第三行:结点集
		第四行:边数
		第五行:边集*/
		cin >> GraphKind;//图的类型 
		cin >> Vers;//结点数
		ver.resize(Vers);
		for (int i = 0; i < Vers; i++)//结点集
			cin >> ver[i];

		if (need_emp)//|| GraphKind == "DN" || GraphKind == "DNG")
			cin >> noEdge;//无边标记

		vector<TypeOfEdge> line;//邻接矩阵初始化
		for (int j = 0; j < Vers; j++)
		{
			for (int i = 0; i < Vers; i++)
				line.push_back(noEdge);
			edge.push_back(line);
		}

		cin >> Edges;//边数
		vector<int> x_p, y_p, w_p;
		for (int i = 0; i < Edges; i++)
		{
			int c_x, c_y;
			cin >> c_x >> c_y;
			x_p.push_back(c_x);
			y_p.push_back(c_y);
		}
		//图的类型识别

		if (GraphKind == "DG")//DG(有向图)
			have_dir = true, have_w = false;
		if (GraphKind == "DN")//DN(有向网)
			have_dir = true, have_w = true;
		if (GraphKind == "UDG")//UDG(无向图)
			have_dir = false, have_w = false;
		if (GraphKind == "UDN")//UDN(无向网)
			have_dir = false, have_w = true;

		if (have_w)
			for (int i = 0; i < Edges; i++)
			{
				int c_w;
				cin >> c_w;
				w_p.push_back(c_w);
			}

		for (int i = 0; i < Edges; i++)
		{
			if (have_dir == false)//无向图操作
			{
				if (have_w == true)//带权值的网的操作
					edge[x_p[i]][y_p[i]] = edge[y_p[i]][x_p[i]] = w_p[i];
				else//无权值操作
					edge[x_p[i]][y_p[i]] = edge[y_p[i]][x_p[i]] = 1;
			}
			else
			{
				if (have_w == true)//带权值的网的操作
					edge[x_p[i]][y_p[i]] = w_p[i];
				else//无权值操作
					edge[x_p[i]][y_p[i]] = 1;
			}
		}
		return 1;
	}
	//输出邻接矩阵 
	bool PrintMatrix()
	{
		int i, j;
		for (i = 0; i < Vers; i++)
		{
			for (j = 0; j < Vers - 1; j++)
				cout << edge[i][j] << "\t";
			cout << edge[i][j] << "\t";
			cout << endl;
		}
		return 1;
	}
	//判断图空否
	bool GraphisEmpty(void)
	{
		return Vers == 0;
	}
	//图的类型
	string GetGraphKind(void)
	{
		return GraphKind;
	}
	//获得顶点集
	vector<TypeOfVer> GetGraph_Point(void)
	{
		return ver;
	}
    //======================================================
	int dp[150][150],path_way[150][150];
	void Floyd_DP()
	{
		int i, j, k;
		for (k = 0; k < Vers; k++)
			for (i = 0; i < Vers; i++)
				for (j = 0; j < Vers; j++)
				{
					if (i!=j && dp[i][j] > dp[i][k] + dp[k][j])
					{
						dp[i][j] = dp[i][k] + dp[k][j];
						path_way[i][j] = path_way[k][j];
					}
				}
		return;
	}
	void Floyd()
	{
		int i, j;
		for (i = 0; i < Vers; i++)
		{
			for (j = 0; j < Vers; j++)
			{
				dp[i][j] = edge[i][j];
				if (i != j)
					path_way[i][j] = i;
				else
					path_way[i][j] = -1;
			}
				
		}

		Floyd_DP();

		for (i = 0; i < Vers; i++)
		{
			for (j = 0; j < Vers; j++)
				if (i != j)
				{
					cout << dp[i][j] << "\t";
				}
				else
					cout << 0 << "\t";
			cout << endl;

		}
		cout << endl;
		for (i = 0; i < Vers; i++)
		{
			for (j = 0; j < Vers; j++)
				if (dp[i][j] != noEdge)
					cout << path_way[i][j] << "\t";
				else
                {
                    path_way[i][j]=-1;
                    cout << -1 << '\t';
                }
			cout << endl;

		}
		cout << endl;
		for (i = 0; i < Vers; i++)
		{
			for (j = 0; j < Vers; j++)
			{
				stack<int> out_list;
				int next_p=j;
				while (1)
				{
					out_list.push(next_p);
					if (path_way[i][next_p] == -1)
						break;
					next_p = path_way[i][next_p];
				}
				if (out_list.size() <=1)
					continue;
				cout << "(";
				while (out_list.size() > 1)
				{
					cout << out_list.top() << "->";
					out_list.pop();
				}
				cout<<out_list.top();
				cout << "),";
				cout << dp[i][j];
				cout << endl;
			}
		}
		return;
	}
};
int main()
{
	int i;
	string s;
	adjmatrix_graph<string, int> a;
	a.Auto_input(1);
	//cout << a.GetGraphKind() << endl;//输出类型
	//输出顶点集----------------------
	//vector<string> ans;
	//ans = a.GetGraph_Point();
	//for (i = 0; i < ans.size() - 1; i++)
	//	cout << ans[i] << " ";
	//cout << ans[i] << endl;
	//-------------------------------
	///cout << endl;
	a.PrintMatrix();
	cout << endl;
	//==============================
	///a.Prim(start_p);
	a.Floyd();
	return 0;
}

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