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suanfa/public/c/ch4/huffman/halfcode.c
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2026-06-14 23:45:55 +08:00
#include <stdio.h>
#include <stdlib.h>
typedef struct Node {
int weight;
struct Node *left, *right;
} Node;
// 比较函数用于 qsort
int compare(const void* a, const void* b) {
return (*(Node**)a)->weight - (*(Node**)b)->weight;
}
// 创建新节点
Node* createNode(int weight) {
Node* newNode = (Node*)malloc(sizeof(Node));
newNode->weight = weight;
newNode->left = newNode->right = NULL;
return newNode;
}
// 构建哈夫曼树
Node* createHuffmanTree(int* weights, int size) {
Node** nodes = malloc(size * sizeof(Node*));
for (int i = 0; i < size; i++) {
nodes[i] = createNode(weights[i]);
}
while (size > 1) {
qsort(nodes, size, sizeof(Node*), compare);// 排序节点数组
// 创建父节点
Node* parent = createNode(nodes[0]->weight + nodes[1]->weight);
parent->left = nodes[0];
parent->right = nodes[1];
// 替换前两个最小节点
nodes[0] = parent;
for (int i = 1; i < size - 1; i++) {
nodes[i] = nodes[i + 1];
}
size--;
}
Node* root = nodes[0];
free(nodes);
return root;
}
// 递归生成哈夫曼编码
void encode(Node* node, char* code, int depth) {
if (node->left == NULL && node->right == NULL) {
code[depth] = '\0';//终止字符串
printf("权重: %d, 编码: %s\n", node->weight, code);
return;
}
code[depth] = '0';
encode(node->left, code, depth + 1);
code[depth] = '1';
encode(node->right, code, depth + 1);
}
// 解码函数
void decode(Node* root, const char* encoded) {
Node* current = root;
while (*encoded) {
if (*encoded == '0') {
current = current->left;
} else {
current = current->right;
}
// 到达叶子节点,打印权重并返回根节点
if (current->left == NULL && current->right == NULL) {
printf("解码权重: %d\n", current->weight);
current = root; // 回到根节点
}
encoded++;// 移动到下一个字符
}
}
// 释放内存
void freeTree(Node* node) {
if (node) {
freeTree(node->left);
freeTree(node->right);
free(node);
}
}
int main() {
int weights[] = {2, 3, 7, 9, 18, 25};
int size = sizeof(weights) / sizeof(weights[0]);
Node* root = createHuffmanTree(weights, size);
char code[100]; // 假设编码长度不会超过100
printf("编码:\n");
encode(root, code, 0);
const char* encoded = "0010101111";
printf("解码-0010101111:\n");
decode(root, encoded);
freeTree(root);
return 0;
}