diff --git a/homework5/CMakeLists.txt b/homework5/CMakeLists.txt index 97678b4..8a2cd04 100644 --- a/homework5/CMakeLists.txt +++ b/homework5/CMakeLists.txt @@ -4,3 +4,4 @@ project(homework5) set(CMAKE_CXX_STANDARD 20) add_executable(test2 test2.cpp) +add_executable(test1 test1.cpp) diff --git a/homework5/ListGraph.h b/homework5/ListGraph.h index f24fb15..78c4507 100644 --- a/homework5/ListGraph.h +++ b/homework5/ListGraph.h @@ -1,7 +1,4 @@ -// -// Created by 31416 on 24-12-4. -// - +// 邻接表类 #ifndef LIST_GRAPH_H #define LIST_GRAPH_H @@ -28,95 +25,107 @@ using namespace std; template class ListGraph { private: - struct node{ + struct node { T data; T weight; - struct node* next; + struct node *next; }; - vector nodes; - bool flag; //定义是否有向 - bool isWeighted; //定义是否有权 + + vector nodes; + bool flag; //定义是否有向 + bool isWeighted; //定义是否有权 public: - ListGraph(bool flag=false,bool isWeighted=false) { + ListGraph(bool flag = false, bool isWeighted = false) { nodes.clear(); flag = false; isWeighted = false; this->flag = flag; this->isWeighted = isWeighted; } + void insert(T data) { - node* insert = new node(); - insert->data=nodes.size(); + node *insert = new node(); + insert->data = nodes.size(); insert->weight = 0; - insert->next=new node(); - insert->next->data=data; - insert->next->next=NULL; + insert->next = new node(); + insert->next->data = data; + insert->next->next = NULL; nodes.push_back(insert); } - void connect(int id1,int id2,T weight=0) { //flag区分是否为有向图 - if ((id1>nodes.size()-1||id2>nodes.size()-1)||(id1<0)||(id2<0)) { - throw NodeIdOutOfRangeException("您提供的id超出范围",0X002); + + void connect(int id1, int id2, T weight = 0) { + //flag区分是否为有向图 + if ((id1 > nodes.size() - 1 || id2 > nodes.size() - 1) || (id1 < 0) || (id2 < 0)) { + throw NodeIdOutOfRangeException("您提供的id超出范围", 0X002); } - if(id1==id2) { - throw SameNodeConnectException("禁止连接图中的同一个点",0x001); + if (id1 == id2) { + throw SameNodeConnectException("禁止连接图中的同一个点", 0x001); } node *current = nodes.at(id1); //跳过id节点和值节点 - for(int i=0;i<1;i++) { + for (int i = 0; i < 1; i++) { current = current->next; } - while(current->next!=NULL) { - if(current->next->data==id2) { - if (current->next->weight==weight) { - throw InsertExistedConnectException("禁止插入已存在的连接",0x003); + while (current->next != NULL) { + if (current->next->data == id2) { + if (current->next->weight == weight) { + throw InsertExistedConnectException("禁止插入已存在的连接", 0x003); } - current->next->weight=weight; + current->next->weight = weight; + if (!flag) { + node *current2 = nodes.at(id2); + while (current2->next != NULL) { + current2 = current2->next; + } + current2->next->weight = weight; + } + return; } current = current->next; } - current->next=new node(); - current->next->data=id2; + current->next = new node(); + current->next->data = id2; current->next->weight = weight; - current->next->next=NULL; + current->next->next = NULL; if (!flag) { node *current2 = nodes.at(id2); - while(current2->next!=NULL) { + while (current2->next != NULL) { current2 = current2->next; } - current2->next=new node(); - current2->next->data=id1; + current2->next = new node(); + current2->next->data = id1; current2->next->weight = weight; - current2->next->next=NULL; + current2->next->next = NULL; } } + string to_string() { stringstream ss; - for (int i=0;i<=nodes.size()-1;i++) { - node* current = nodes.at(i); - while(current!=NULL) { - if(current->next==NULL) { + for (int i = 0; i <= nodes.size() - 1; i++) { + node *current = nodes.at(i); + while (current != NULL) { + if (current->next == NULL) { if (isWeighted) { - ss<data<<"|"<weight; + ss << current->data << "|" << current->weight; + } else { + ss << current->data; } - else { - ss<data; - } - }else { - if (isWeighted){ - ss<data<<"|"<weight<<" "; - } - else { - ss<data<<" "; + } else { + if (isWeighted) { + ss << current->data << "|" << current->weight << " "; + } else { + ss << current->data << " "; } } current = current->next; } - ss< BFS(int startId) { if (startId >= nodes.size() || startId < 0) { throw NodeIdOutOfRangeException("起始节点id超出范围", 0X004); @@ -134,7 +143,7 @@ public: q.pop(); result.push_back(currentId); - node* current = nodes.at(currentId); + node *current = nodes.at(currentId); // 跳过id节点和值节点 current = current->next->next; diff --git a/homework5/MatrixGraph.h b/homework5/MatrixGraph.h index 2087a2a..7804259 100644 --- a/homework5/MatrixGraph.h +++ b/homework5/MatrixGraph.h @@ -6,30 +6,65 @@ #define MATRIXGRAPH_H #include + +#include "GraphExceptions/InsertExistedConnectException.h" +#include "GraphExceptions/NodeIdOutOfRangeException.h" +#include "GraphExceptions/SameNodeConnectException.h" using namespace std; template class MatrixGraph { private: - vector data; - vector > matrix; - int nodeCount; + struct connection { + T weight; //权 + bool connected; //是否连接 + }; + + vector data; //顶点值 + vector > matrix; //邻接矩阵 + bool flag; //是否为有向图 + bool isWeighted; //是否有权 public: - MatrixGraph() { - matrix.clear(); + MatrixGraph(bool flag = false, bool isWeighted = false) { + this->flag = flag; + this->isWeighted = isWeighted; data.clear(); - nodeCount = 0; + matrix.clear(); } + + // 添加顶点 void insert(T value) { data.push_back(value); - nodeCount++; - matrix.push_back(vector(nodeCount, false)); - for(int i = 0; i < nodeCount-1; ++i) { - matrix[i].push_back(false); + matrix.push_back(vector(0, false)); //添加一行 + for (auto &row: matrix) { + row.resize(data.size(), connection(0, false)); // 扩展列 + } + } + + // 连接顶点 + void connect(int id1, int id2, T weight = 0) { + if (id1 > data.size() || id2 > data.size() || (id1 < 0 || id2 < 0)) { + throw NodeIdOutOfRangeException("您提供的id不合理", 0X001); + } + if (id1 == id2) { + throw SameNodeConnectException("禁止连接两个相同节点", 0x002); + } + if (matrix[id1][id2].connected) { + if (matrix[id1][id2].weight == weight) { + throw InsertExistedConnectException("禁止插入已存在的连接", 0x003); + } + matrix[id1][id2].weight = weight; + if (flag == false) { + matrix[id2][id1].weight = weight; + } + return; + } + matrix[id1][id2].connected = true; + matrix[id1][id2].weight = weight; + if (flag == false) { + matrix[id2][id1].connected = true; + matrix[id2][id1].weight = weight; } } }; - - - #endif //MATRIXGRAPH_H diff --git a/homework5/test1.cpp b/homework5/test1.cpp new file mode 100644 index 0000000..72d9bca --- /dev/null +++ b/homework5/test1.cpp @@ -0,0 +1,29 @@ +// 利用邻接矩阵存储无向图,并从0号顶点开始进行深度优先遍历。 +// 输入: +// 输入第一行是两个整数n e,其中n表示顶点数(则顶点编号为0至n-1),e表示图中的边数。之后有e行信息输入,每行输入表示一条边,格式是“顶点1 顶点2”,把边插入图中。如: +// 4 4 +// 0 1 +// 1 3 +// 0 3 +// 0 2 +// 输出: +// 先输出存储图的邻接矩阵,同一行元素之间空1格,最后一个元素之后不要有空格。 +// 之后空一行后输出从0号顶点开始的深度优先遍历序列,顶点编号之间空1格。 +// 例如,对于上面的示例输入,输出为: +// 0 1 1 1 +// 1 0 0 1 +// 1 0 0 0 +// 1 1 0 0 +// 从顶点0开始的深度优先遍历序列: +// 0 1 3 2 +// 说明 +// 输入第1个4表示有4个顶点,第2个4表示有4条边。之后的4行输入代表4条边的顶点。 +// 输出的前4行为邻接矩阵,之后空一行,然后输出的“0 1 3 2”是深度优先遍历序列。 +// + +#include +#include"MatrixGraph.h" +using namespace std; +int main() { + return 0; +} \ No newline at end of file