请写出一段将一段英文进行哈夫曼编码的程序。使用C语言

时间: 2024-03-22 13:38:58 浏览: 18
以下是一个简单的使用C语言将一段英文进行哈夫曼编码的程序: ```c #include <stdio.h> #include <stdlib.h> #include <string.h> #define MAX_TREE_HT 100 typedef struct MinHeapNode { char data; unsigned freq; struct MinHeapNode *left, *right; } MinHeapNode; typedef struct MinHeap { unsigned size; unsigned capacity; MinHeapNode** array; } MinHeap; MinHeapNode* newNode(char data, unsigned freq) { MinHeapNode* node = (MinHeapNode*) malloc(sizeof(MinHeapNode)); node->left = node->right = NULL; node->data = data; node->freq = freq; return node; } MinHeap* createMinHeap(unsigned capacity) { MinHeap* minHeap = (MinHeap*) malloc(sizeof(MinHeap)); minHeap->size = 0; minHeap->capacity = capacity; minHeap->array = (MinHeapNode**) malloc(minHeap->capacity * sizeof(MinHeapNode*)); return minHeap; } void swapMinHeapNode(MinHeapNode** a, MinHeapNode** b) { MinHeapNode* t = *a; *a = *b; *b = t; } void minHeapify(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(MinHeap* minHeap) { return (minHeap->size == 1); } MinHeapNode* extractMin(MinHeap* minHeap) { MinHeapNode* temp = minHeap->array[0]; minHeap->array[0] = minHeap->array[minHeap->size - 1]; --minHeap->size; minHeapify(minHeap, 0); return temp; } void insertMinHeap(MinHeap* minHeap, 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(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(MinHeapNode* root) { return !(root->left) && !(root->right); } MinHeap* createAndBuildMinHeap(char data[], int freq[], int size) { 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; } MinHeapNode* buildHuffmanTree(char data[], int freq[], int size) { MinHeapNode *left, *right, *top; 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(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) { MinHeapNode* root = buildHuffmanTree(data, freq, size); int arr[MAX_TREE_HT], top = 0; printCodes(root, arr, top); } int main() { char data[] = {'a', 'b', 'c', 'd', 'e', 'f'}; int freq[] = {5, 9, 12, 13, 16, 45}; int size = sizeof(data) / sizeof(data[0]); HuffmanCodes(data, freq, size); return 0; } ``` 在此示例中,我们使用哈夫曼算法对字符数组 `data` 进行编码,并将其对应的编码打印出来。 程序的输出将类似于: ``` a: 1100 b: 1101 c: 100 d: 101 e: 111 f: 0 ``` 这表明字符 `a` 的编码为 `1100`,字符 `b` 的编码为 `1101`,以此类推。

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