用c语言基于贪心算法编写哈夫曼编码的代码,输入一串字符串,其中频率为字符串中该字母出现次数,计算一串字符串的编码长度
时间: 2023-11-22 07:56:56 浏览: 38
以下是基于贪心算法的哈夫曼编码的 C 语言代码:
```c
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define MAX_TREE_HT 100
// 定义哈夫曼树结构体
struct MinHeapNode {
char data;
unsigned freq;
struct MinHeapNode *left, *right;
};
struct MinHeap {
unsigned size;
unsigned capacity;
struct MinHeapNode** array;
};
// 创建一个新的哈夫曼树节点
struct MinHeapNode* newNode(char data, unsigned freq) {
struct MinHeapNode* temp = (struct MinHeapNode*)malloc(sizeof(struct MinHeapNode));
temp->left = temp->right = NULL;
temp->data = data;
temp->freq = freq;
return temp;
}
// 创建一个空的最小堆
struct MinHeap* createMinHeap(unsigned capacity) {
struct MinHeap* minHeap = (struct MinHeap*)malloc(sizeof(struct MinHeap));
minHeap->size = 0;
minHeap->capacity = capacity;
minHeap->array = (struct MinHeapNode**)malloc(minHeap->capacity * sizeof(struct MinHeapNode*));
return minHeap;
}
// 交换两个哈夫曼节点
void swapMinHeapNode(struct MinHeapNode** a, struct MinHeapNode** b) {
struct MinHeapNode* temp = *a;
*a = *b;
*b = temp;
}
// 堆化函数
void minHeapify(struct MinHeap* minHeap, int idx) {
int smallest = idx;
int left = 2 * idx + 1;
int right = 2 * idx + 2;
if (left < minHeap->size && minHeap->array[left]->freq < minHeap->array[smallest]->freq)
smallest = left;
if (right < minHeap->size && minHeap->array[right]->freq < minHeap->array[smallest]->freq)
smallest = right;
if (smallest != idx) {
swapMinHeapNode(&minHeap->array[smallest], &minHeap->array[idx]);
minHeapify(minHeap, smallest);
}
}
// 判断堆是否只剩下一个节点
int isSizeOne(struct MinHeap* minHeap) {
return (minHeap->size == 1);
}
// 取出堆中最小的节点
struct MinHeapNode* extractMin(struct MinHeap* minHeap) {
struct MinHeapNode* temp = minHeap->array[0];
minHeap->array[0] = minHeap->array[minHeap->size - 1];
--minHeap->size;
minHeapify(minHeap, 0);
return temp;
}
// 插入节点到堆中
void insertMinHeap(struct MinHeap* minHeap, struct MinHeapNode* minHeapNode) {
++minHeap->size;
int i = minHeap->size - 1;
while (i && minHeapNode->freq < minHeap->array[(i - 1) / 2]->freq) {
minHeap->array[i] = minHeap->array[(i - 1) / 2];
i = (i - 1) / 2;
}
minHeap->array[i] = minHeapNode;
}
// 判断节点是否为叶子节点
int isLeaf(struct MinHeapNode* root) {
return !(root->left) && !(root->right);
}
// 创建并构建哈夫曼树
struct MinHeapNode* buildHuffmanTree(char data[], int freq[], int size) {
struct MinHeapNode *left, *right, *top;
struct MinHeap* minHeap = createMinHeap(size);
for (int i = 0; i < size; ++i)
insertMinHeap(minHeap, newNode(data[i], freq[i]));
while (!isSizeOne(minHeap)) {
left = extractMin(minHeap);
right = extractMin(minHeap);
top = newNode('$', left->freq + right->freq);
top->left = left;
top->right = right;
insertMinHeap(minHeap, top);
}
return extractMin(minHeap);
}
// 输出哈夫曼编码
void printCodes(struct MinHeapNode* root, int arr[], int top) {
if (root->left) {
arr[top] = 0;
printCodes(root->left, arr, top + 1);
}
if (root->right) {
arr[top] = 1;
printCodes(root->right, arr, top + 1);
}
if (isLeaf(root)) {
printf("%c: ", root->data);
for (int i = 0; i < top; ++i)
printf("%d", arr[i]);
printf("\n");
}
}
// 构建哈夫曼编码
void HuffmanCodes(char data[], int freq[], int size) {
struct MinHeapNode* root = buildHuffmanTree(data, freq, size);
int arr[MAX_TREE_HT], top = 0;
printCodes(root, arr, top);
}
// 计算一串字符串的编码长度
int calculateCodeLength(char data[], int freq[], int size) {
int codeLength = 0;
struct MinHeapNode* root = buildHuffmanTree(data, freq, size);
int arr[MAX_TREE_HT], top = 0;
printCodes(root, arr, top);
for (int i = 0; i < size; i++) {
for (int j = 0; j < top; j++) {
if (root->data == data[i]) {
codeLength += (arr[j] + 1);
}
}
}
return codeLength;
}
int main() {
char data[] = "Huffman coding";
int freq[] = { 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1 };
int size = sizeof(data) / sizeof(data[0]);
printf("The Huffman codes are:\n");
HuffmanCodes(data, freq, size);
int codeLength = calculateCodeLength(data, freq, size);
printf("The code length of the string is: %d\n", codeLength);
return 0;
}
```
在代码中,函数 `calculateCodeLength` 计算了一串字符串的编码长度,即将字符串中每个字符的哈夫曼编码长度加起来。