mirror of
https://github.com/krahets/hello-algo.git
synced 2026-07-12 07:26:07 +00:00
Reimplement the graph code for C
This commit is contained in:
@@ -6,105 +6,69 @@
|
||||
|
||||
#include "graph_adjacency_list.c"
|
||||
|
||||
/* 哈希表 */
|
||||
typedef struct {
|
||||
unsigned int size;
|
||||
unsigned int *array;
|
||||
} HashTable;
|
||||
// 假设节点最大数量为 100
|
||||
#define MAX_SIZE 100
|
||||
|
||||
/* 初始化哈希表 */
|
||||
HashTable *newHash(unsigned int size) {
|
||||
HashTable *h = (HashTable *)malloc(sizeof(HashTable));
|
||||
h->array = (unsigned int *)malloc(sizeof(unsigned int) * size);
|
||||
memset(h->array, 0, sizeof(unsigned int) * size);
|
||||
h->size = size;
|
||||
return h;
|
||||
}
|
||||
|
||||
/* 标记索引过的顶点 */
|
||||
void hashMark(HashTable *h, int index) {
|
||||
h->array[index % h->size] = 1;
|
||||
}
|
||||
|
||||
/* 查询顶点是否已被标记 */
|
||||
int hashQuery(HashTable *h, int index) {
|
||||
// 若顶点已被标记,则返回 1
|
||||
if (h->array[index % h->size] == 1) {
|
||||
return 1;
|
||||
} else {
|
||||
return 0;
|
||||
/* 检查顶点是否已被访问 */
|
||||
int isVisited(Vertex **res, int size, Vertex *vet) {
|
||||
// 遍历查找节点,使用 O(n) 时间
|
||||
for (int i = 0; i < size; i++) {
|
||||
if (res[i] == vet) {
|
||||
return 1;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/* 释放哈希表内存 */
|
||||
void freeHash(HashTable *h) {
|
||||
free(h->array);
|
||||
free(h);
|
||||
return 0;
|
||||
}
|
||||
|
||||
/* 深度优先遍历 DFS 辅助函数 */
|
||||
int resIndex = 0;
|
||||
void dfs(GraphAdjList *graph, HashTable *visited, Vertex *vet, Vertex **res) {
|
||||
if (hashQuery(visited, vet->pos) == 1) {
|
||||
return; // 跳过已被访问过的顶点
|
||||
void dfs(GraphAdjList *graph, Vertex **res, int *resSize, Vertex *vet) {
|
||||
// 记录访问顶点
|
||||
res[(*resSize)++] = vet;
|
||||
// 遍历该顶点的所有邻接顶点
|
||||
AdjListNode *node = findNode(graph, vet);
|
||||
while (node != NULL) {
|
||||
// 跳过已被访问过的顶点
|
||||
if (!isVisited(res, *resSize, node->vertex)) {
|
||||
// 递归访问邻接顶点
|
||||
dfs(graph, res, resSize, node->vertex);
|
||||
}
|
||||
node = node->next;
|
||||
}
|
||||
hashMark(visited, vet->pos); // 标记顶点并将顶点存入数组
|
||||
res[resIndex] = vet; // 将顶点存入数组
|
||||
resIndex++;
|
||||
// 遍历该顶点链表
|
||||
Node *n = vet->list->head->next;
|
||||
while (n != 0) {
|
||||
// 递归访问邻接顶点
|
||||
dfs(graph, visited, n->val, res);
|
||||
n = n->next;
|
||||
}
|
||||
return;
|
||||
}
|
||||
|
||||
/* 深度优先遍历 DFS */
|
||||
// 使用邻接表来表示图,以便获取指定顶点的所有邻接顶点
|
||||
Vertex **graphDFS(GraphAdjList *graph, Vertex *startVet) {
|
||||
// 顶点遍历序列
|
||||
Vertex **res = (Vertex **)malloc(sizeof(Vertex *) * graph->size);
|
||||
memset(res, 0, sizeof(Vertex *) * graph->size);
|
||||
// 哈希表,用于记录已被访问过的顶点
|
||||
HashTable *visited = newHash(graph->size);
|
||||
dfs(graph, visited, startVet, res);
|
||||
// 释放哈希表内存并将数组索引归零
|
||||
freeHash(visited);
|
||||
resIndex = 0;
|
||||
// 返回遍历数组
|
||||
return res;
|
||||
void graphDFS(GraphAdjList *graph, Vertex *startVet, Vertex **res, int *resSize) {
|
||||
dfs(graph, res, resSize, startVet);
|
||||
}
|
||||
|
||||
/* Driver Code */
|
||||
int main() {
|
||||
GraphAdjList *graph = newGraphAdjList(10);
|
||||
for (int i = 0; i < 7; i++) {
|
||||
addVertex(graph, i);
|
||||
// 初始化无向图
|
||||
int vals[] = {0, 1, 2, 3, 4, 5, 6};
|
||||
int size = sizeof(vals) / sizeof(vals[0]);
|
||||
Vertex **v = valsToVets(vals, size);
|
||||
Vertex *edges[][2] = {{v[0], v[1]}, {v[0], v[3]}, {v[1], v[2]}, {v[2], v[5]}, {v[4], v[5]}, {v[5], v[6]}};
|
||||
int egdeSize = sizeof(edges) / sizeof(edges[0]);
|
||||
GraphAdjList *graph = newGraphAdjList();
|
||||
// 添加所有顶点和边
|
||||
for (int i = 0; i < size; i++) {
|
||||
addVertex(graph, v[i]);
|
||||
}
|
||||
addEdge(graph, 0, 1);
|
||||
addEdge(graph, 0, 3);
|
||||
addEdge(graph, 1, 2);
|
||||
addEdge(graph, 2, 5);
|
||||
addEdge(graph, 5, 4);
|
||||
addEdge(graph, 5, 6);
|
||||
printf("\n初始化后,图为:\n");
|
||||
for (int i = 0; i < egdeSize; i++) {
|
||||
addEdge(graph, edges[i][0], edges[i][1]);
|
||||
}
|
||||
printf("\n初始化后,图为\n");
|
||||
printGraph(graph);
|
||||
|
||||
// 深度优先遍历 DFS
|
||||
Vertex **vet = graphDFS(graph, graph->vertices[0]);
|
||||
|
||||
// 输出遍历结果
|
||||
Vertex *res[MAX_SIZE];
|
||||
int resSize = 0;
|
||||
graphDFS(graph, v[0], res, &resSize);
|
||||
printf("\n深度优先遍历(DFS)顶点序列为\n");
|
||||
printf("[");
|
||||
printf("%d", vet[0]->val);
|
||||
for (int i = 1; i < graph->size && vet[i] != 0; i++) {
|
||||
printf(", %d", vet[i]->val);
|
||||
}
|
||||
printf("]\n");
|
||||
printArray(vetsToVals(res, resSize), resSize);
|
||||
|
||||
// 释放内存
|
||||
free(vet);
|
||||
delGraphAdjList(graph);
|
||||
return 0;
|
||||
}
|
||||
|
||||
Reference in New Issue
Block a user