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https://github.com/krahets/hello-algo.git
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229 lines
7.4 KiB
C
229 lines
7.4 KiB
C
/**
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* File: graph_adjacency_matrix.c
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* Created Time: 2023-07-06
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* Author: NI-SW (947743645@qq.com)
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*/
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#include "../utils/common.h"
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/* 基于邻接矩阵实现的无向图类结构 */
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struct graphAdjMat {
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int *vertices; // 顶点列表
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unsigned int **adjMat; // 邻接矩阵，元素代表“边”，索引代表“顶点索引”
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unsigned int size; // 顶点数量
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unsigned int capacity; // 图容量
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};
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typedef struct graphAdjMat graphAdjMat;
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/* 添加边 */
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// 参数 i, j 对应 vertices 元素索引
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void addEdge(graphAdjMat *t, int i, int j) {
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// 越界检查
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if (i < 0 || j < 0 || i >= t->size || j >= t->size || i == j) {
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printf("Out of range in %s:%d\n", __FILE__, __LINE__);
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exit(1);
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}
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// 添加边
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// 参数 i, j 对应 vertices 元素索引
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t->adjMat[i][j] = 1;
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t->adjMat[j][i] = 1;
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}
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/* 删除边 */
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// 参数 i, j 对应 vertices 元素索引
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void removeEdge(graphAdjMat *t, int i, int j) {
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// 越界检查
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if (i < 0 || j < 0 || i >= t->size || j >= t->size || i == j) {
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printf("Out of range in %s:%d\n", __FILE__, __LINE__);
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exit(1);
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}
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// 删除边
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// 参数 i, j 对应 vertices 元素索引
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t->adjMat[i][j] = 0;
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t->adjMat[j][i] = 0;
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}
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/* 添加顶点 */
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void addVertex(graphAdjMat *t, int val) {
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// 如果实际使用不大于预设空间，则直接初始化新空间
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if (t->size < t->capacity) {
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t->vertices[t->size] = val; // 初始化新顶点值
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for (int i = 0; i < t->size; i++) {
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t->adjMat[i][t->size] = 0; // 邻接矩新列阵置0
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}
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memset(t->adjMat[t->size], 0, sizeof(unsigned int) * (t->size + 1)); // 将新增行置 0
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t->size++;
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return;
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}
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// 扩容，申请新的顶点数组
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int *temp = (int *)malloc(sizeof(int) * (t->size * 2));
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memcpy(temp, t->vertices, sizeof(int) * t->size);
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temp[t->size] = val;
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// 释放原数组
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free(t->vertices);
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t->vertices = temp;
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// 扩容，申请新的二维数组
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unsigned int **tempMat = (unsigned int **)malloc(sizeof(unsigned int *) * t->size * 2);
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unsigned int *tempMatLine = (unsigned int *)malloc(sizeof(unsigned int) * (t->size * 2) * (t->size * 2));
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memset(tempMatLine, 0, sizeof(unsigned int) * (t->size * 2) * (t->size * 2));
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for (int k = 0; k < t->size * 2; k++) {
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tempMat[k] = tempMatLine + k * (t->size * 2);
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}
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for (int i = 0; i < t->size; i++) {
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memcpy(tempMat[i], t->adjMat[i], sizeof(unsigned int) * t->size); // 原数据复制到新数组
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}
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for (int i = 0; i < t->size; i++) {
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tempMat[i][t->size] = 0; // 将新增列置 0
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}
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memset(tempMat[t->size], 0, sizeof(unsigned int) * (t->size + 1)); // 将新增行置 0
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// 释放原数组
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free(t->adjMat[0]);
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free(t->adjMat);
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// 扩容后，指向新地址
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t->adjMat = tempMat; // 指向新的邻接矩阵地址
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t->capacity = t->size * 2;
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t->size++;
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}
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/* 删除顶点 */
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void removeVertex(graphAdjMat *t, unsigned int index) {
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// 越界检查
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if (index < 0 || index >= t->size) {
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printf("Out of range in %s:%d\n", __FILE__, __LINE__);
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exit(1);
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}
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for (int i = index; i < t->size - 1; i++) {
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t->vertices[i] = t->vertices[i + 1]; // 清除删除的顶点，并将其后所有顶点前移
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}
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t->vertices[t->size - 1] = 0; // 将被前移的最后一个顶点置 0
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// 清除邻接矩阵中删除的列
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for (int i = 0; i < t->size - 1; i++) {
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if (i < index) {
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for (int j = index; j < t->size - 1; j++) {
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t->adjMat[i][j] = t->adjMat[i][j + 1]; // 被删除列后的所有列前移
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}
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} else {
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memcpy(t->adjMat[i], t->adjMat[i + 1], sizeof(unsigned int) * t->size); // 被删除行的下方所有行上移
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for (int j = index; j < t->size; j++) {
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t->adjMat[i][j] = t->adjMat[i][j + 1]; // 被删除列后的所有列前移
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}
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}
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}
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t->size--;
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}
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/* 打印顶点与邻接矩阵 */
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void printGraph(graphAdjMat *t) {
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if (t->size == 0) {
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printf("graph is empty\n");
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return;
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}
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printf("顶点列表 = [");
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for (int i = 0; i < t->size; i++) {
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if (i != t->size - 1) {
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printf("%d, ", t->vertices[i]);
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} else {
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printf("%d", t->vertices[i]);
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}
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}
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printf("]\n");
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printf("邻接矩阵 =\n[\n");
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for (int i = 0; i < t->size; i++) {
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printf(" [");
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for (int j = 0; j < t->size; j++) {
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if (j != t->size - 1) {
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printf("%u, ", t->adjMat[i][j]);
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} else {
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printf("%u", t->adjMat[i][j]);
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}
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}
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printf("],\n");
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}
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printf("]\n");
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}
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/* 构造函数 */
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graphAdjMat *newGraphAjdMat(unsigned int numberVertices, int *vertices, unsigned int **adjMat) {
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// 申请内存
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graphAdjMat *newGraph = (graphAdjMat *)malloc(sizeof(graphAdjMat)); // 为图分配内存
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newGraph->vertices = (int *)malloc(sizeof(int) * numberVertices * 2); // 为顶点列表分配内存
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newGraph->adjMat = (unsigned int **)malloc(sizeof(unsigned int *) * numberVertices * 2); // 为邻接矩阵分配二维内存
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unsigned int *temp = (unsigned int *)malloc(sizeof(unsigned int) * numberVertices * 2 * numberVertices * 2); // 为邻接矩阵分配一维内存
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newGraph->size = numberVertices; // 初始化顶点数量
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newGraph->capacity = numberVertices * 2; // 初始化图容量
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// 配置二维数组
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for (int i = 0; i < numberVertices * 2; i++) {
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newGraph->adjMat[i] = temp + i * numberVertices * 2; // 将二维指针指向一维数组
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}
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// 赋值
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memcpy(newGraph->vertices, vertices, sizeof(int) * numberVertices);
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for (int i = 0; i < numberVertices; i++) {
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memcpy(newGraph->adjMat[i], adjMat[i], sizeof(unsigned int) * numberVertices); // 将传入的邻接矩阵赋值给结构体内邻接矩阵
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}
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// 返回结构体指针
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return newGraph;
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}
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/* Driver Code */
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int main() {
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/* 初始化无向图 */
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int vertices[5] = {1, 3, 2, 5, 4};
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unsigned int **edge = (unsigned int **)malloc(sizeof(unsigned int *) * 5);
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// 用于构建二维数组的一维指针
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unsigned int *temp = (unsigned int *)malloc(sizeof(unsigned int) * 25);
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memset(temp, 0, sizeof(unsigned int) * 25);
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for (int k = 0; k < 5; k++) {
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edge[k] = temp + k * 5;
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}
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// 初始化边
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edge[0][1] = edge[1][0] = 1;
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edge[0][3] = edge[3][0] = 1;
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edge[1][2] = edge[2][1] = 1;
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edge[2][3] = edge[3][2] = 1;
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edge[2][4] = edge[4][2] = 1;
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edge[3][4] = edge[4][3] = 1;
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// 建立无向图
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graphAdjMat *graph = newGraphAjdMat(5, vertices, edge);
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free(edge);
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free(temp);
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printf("\n初始化后，图为:\n");
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printGraph(graph);
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/* 添加边 */
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// 顶点 1, 2 的索引分别为 0, 2
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addEdge(graph, 0, 2);
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printf("\n添加边 1-2 后图为\n");
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printGraph(graph);
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/* 删除边 */
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// 顶点 1, 3 的索引分别为 0, 1
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removeEdge(graph, 0, 1);
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printf("\n删除边 1-3 后，图为\n");
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printGraph(graph);
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/* 添加顶点 */
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addVertex(graph, 6);
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printf("\n添加顶点 6 后，图为\n");
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printGraph(graph);
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/* 删除顶点 */
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// 顶点 3 的索引为 1
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removeVertex(graph, 1);
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printf("\n删除顶点 3 后，图为\n");
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printGraph(graph);
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return 0;
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}
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