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构成的文本字符串,例如“ilikelearningdatastructurecourse”,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
时间: 2024-02-15 09:05:00 浏览: 62
C语言实现Huffman树,Huffman编码
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好的,这是一个很有挑战性的问题。首先,我们需要实现Huffman树的创建和Huffman编码的算法。然后,我们需要把输入的字符串转换为Huffman编码,并把编码结果输出到屏幕上。最后,我们需要实现解码的算法,使得我们能够从Huffman编码中还原出原始字符串。
下面是一个可能的C语言实现:
```c
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define MAX_CHARACTERS 256
typedef struct node {
char character;
int frequency;
struct node *left, *right;
} Node;
typedef struct code {
char character;
char *bits;
} Code;
Node *create_node(char character, int frequency, Node *left, Node *right) {
Node *node = (Node *) malloc(sizeof(Node));
node->character = character;
node->frequency = frequency;
node->left = left;
node->right = right;
return node;
}
void destroy_node(Node *node) {
if (node) {
destroy_node(node->left);
destroy_node(node->right);
free(node);
}
}
int compare_nodes(const void *a, const void *b) {
const Node *node1 = *(const Node **) a;
const Node *node2 = *(const Node **) b;
return node1->frequency - node2->frequency;
}
Node *build_huffman_tree(int *frequencies) {
int i;
Node *nodes[MAX_CHARACTERS];
int num_nodes = 0;
for (i = 0; i < MAX_CHARACTERS; i++) {
if (frequencies[i] > 0) {
nodes[num_nodes++] = create_node((char) i, frequencies[i], NULL, NULL);
}
}
while (num_nodes > 1) {
qsort(nodes, num_nodes, sizeof(Node *), compare_nodes);
Node *left = nodes[0];
Node *right = nodes[1];
Node *parent = create_node('\0', left->frequency + right->frequency, left, right);
nodes[0] = parent;
nodes[1] = nodes[--num_nodes];
}
return nodes[0];
}
void build_codes(Node *node, Code *codes, char *bits, int num_bits) {
if (node->left) {
bits[num_bits] = '0';
build_codes(node->left, codes, bits, num_bits + 1);
}
if (node->right) {
bits[num_bits] = '1';
build_codes(node->right, codes, bits, num_bits + 1);
}
if (!node->left && !node->right) {
codes[node->character].character = node->character;
codes[node->character].bits = (char *) malloc((num_bits + 1) * sizeof(char));
strncpy(codes[node->character].bits, bits, num_bits);
codes[node->character].bits[num_bits] = '\0';
}
}
void destroy_codes(Code *codes) {
int i;
for (i = 0; i < MAX_CHARACTERS; i++) {
if (codes[i].bits) {
free(codes[i].bits);
}
}
}
char *encode(char *text, Code *codes) {
int i, j, k;
int length = strlen(text);
char *bits = (char *) malloc(length * MAX_CHARACTERS * sizeof(char));
for (i = 0, k = 0; i < length; i++) {
Code code = codes[text[i]];
for (j = 0; j < strlen(code.bits); j++, k++) {
bits[k] = code.bits[j];
}
}
bits[k] = '\0';
return bits;
}
char *decode(char *bits, Node *root) {
int i, j, k;
int length = strlen(bits);
char *text = (char *) malloc((length / 8 + 1) * sizeof(char));
for (i = 0, k = 0; i < length; ) {
Node *node = root;
while (node->left && node->right) {
if (bits[i] == '0') {
node = node->left;
} else {
node = node->right;
}
i++;
}
text[k++] = node->character;
}
text[k] = '\0';
return text;
}
int main() {
char text[MAX_CHARACTERS];
int frequencies[MAX_CHARACTERS] = {0};
int i;
printf("Enter a text string: ");
scanf("%s", text);
for (i = 0; i < strlen(text); i++) {
frequencies[text[i]]++;
}
Node *root = build_huffman_tree(frequencies);
Code codes[MAX_CHARACTERS];
char bits[MAX_CHARACTERS];
build_codes(root, codes, bits, 0);
char *encoded = encode(text, codes);
printf("Encoded: %s\n", encoded);
char *decoded = decode(encoded, root);
printf("Decoded: %s\n", decoded);
destroy_node(root);
destroy_codes(codes);
free(encoded);
free(decoded);
return 0;
}
```
这个程序首先从标准输入中读取一个字符串,然后计算每个字符出现的频率,并使用这些频率构建Huffman树。然后,它使用该树构建字符的编码表,并将输入字符串编码为Huffman编码。最后,它使用Huffman编码和Huffman树来还原原始字符串,并将其输出到标准输出中。
这个程序使用了一些C语言的标准库函数,例如`malloc()`、`free()`、`qsort()`和`strncpy()`。如果你不熟悉这些函数,可以查找相应的文档来了解它们的用法。
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