利用C语言编写软件实现上述功能。具体要求为: 从键盘任意输入一个由英文字母带空格构成的文本字符串,例如“i like learning datastructure course”,首先根据该字符串创建Huffman树,之后进行Huffman编码,然后把该字符串的Huffman编码结果向屏幕输出。能够利用前述的Huffman编码结果对某0-1码流进行解码得到字符串,卸除详细流程并为代码做出注释
时间: 2024-03-05 14:54:38 浏览: 21
好的,我可以为您解答关于使用C语言编写Huffman编码的问题。首先,需要实现以下几个步骤:
1. 读取文本字符串并统计字符出现频率
2. 构建Huffman树
3. 生成Huffman编码表
4. 对文本字符串进行Huffman编码
5. 将Huffman编码结果输出到屏幕
6. 对Huffman编码进行解码,得到原始文本字符串
下面是具体实现:
```c
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define MAX_TREE_HT 100
struct MinHeapNode {
char data;
unsigned freq;
struct MinHeapNode *left, *right;
};
struct MinHeap {
unsigned size;
unsigned capacity;
struct MinHeapNode **array;
};
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;
}
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;
}
void swapMinHeapNode(struct MinHeapNode** a, struct MinHeapNode** b) {
struct MinHeapNode* t = *a;
*a = *b;
*b = t;
}
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);
}
}
int isSizeOne(struct MinHeap* minHeap) {
return (minHeap->size == 1);
}
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;
}
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;
}
void buildMinHeap(struct MinHeap* minHeap) {
int n = minHeap->size - 1;
int i;
for (i = (n - 1) / 2; i >= 0; --i)
minHeapify(minHeap, i);
}
void printArr(int arr[], int n) {
int i;
for (i = 0; i < n; ++i)
printf("%d", arr[i]);
printf("\n");
}
int isLeaf(struct MinHeapNode* root) {
return !(root->left) && !(root->right);
}
struct MinHeap* createAndBuildMinHeap(char data[], int freq[], int size) {
struct MinHeap* minHeap = createMinHeap(size);
for (int i = 0; i < size; ++i)
minHeap->array[i] = newNode(data[i], freq[i]);
minHeap->size = size;
buildMinHeap(minHeap);
return minHeap;
}
struct MinHeapNode* buildHuffmanTree(char data[], int freq[], int size) {
struct MinHeapNode *left, *right, *top;
struct MinHeap* minHeap = createAndBuildMinHeap(data, freq, size);
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);
}
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);
printArr(arr, top);
}
}
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);
}
void encodeHuffman(char *str, char codes[][MAX_TREE_HT]) {
int len = strlen(str);
int i, j;
for (i = 0; i < len; i++) {
for (j = 0; j < MAX_TREE_HT; j++) {
codes[(int)str[i]][j] = '\0';
}
}
int freq[256] = {0};
for (i = 0; i < len; i++) {
freq[(int)str[i]]++;
}
char data[256];
int pos = 0;
for (i = 0; i < 256; i++) {
if (freq[i] != 0) {
data[pos++] = (char)i;
}
}
HuffmanCodes(data, freq, pos);
struct MinHeapNode *root = buildHuffmanTree(data, freq, pos);
int arr[MAX_TREE_HT], top = 0;
printCodes(root, arr, top);
for (i = 0; i < pos; i++) {
int k = 0;
for (j = 0; j < MAX_TREE_HT; j++) {
if (codes[(int)data[i]][j] != '\0') {
k++;
}
}
if (k == 0) {
codes[(int)data[i]][0] = '0';
k++;
}
}
for (i = 0; i < len; i++) {
for (j = 0; j < MAX_TREE_HT; j++) {
if (codes[(int)str[i]][j] != '\0') {
printf("%c", codes[(int)str[i]][j]);
}
}
}
}
void decodeHuffman(char *str, struct MinHeapNode *root) {
struct MinHeapNode *p = root;
int len = strlen(str);
int i;
for (i = 0; i < len; i++) {
if (str[i] == '0') {
p = p->left;
} else {
p = p->right;
}
if (isLeaf(p)) {
printf("%c", p->data);
p = root;
}
}
}
int main() {
char str[100];
char codes[256][MAX_TREE_HT] = {{0}};
printf("请输入待压缩的字符串:");
fgets(str, sizeof(str), stdin);
str[strlen(str) - 1] = '\0';
printf("Huffman编码结果为:");
encodeHuffman(str, codes);
printf("\n");
printf("Huffman解码结果为:");
decodeHuffman(codes, buildHuffmanTree);
printf("\n");
return 0;
}
```
以上代码实现了对一个由英文字母带空格构成的文本字符串进行Huffman编码,并且能够对Huffman编码结果进行解码,得到原始的文本字符串。其中,我们使用了Huffman树来生成Huffman编码表,再利用Huffman编码表对文本字符串进行编码。同时,我们也实现了Huffman解码,将编码结果转换为原始文本字符串。