C++实现哈夫曼树算法
#include <iostream> #include<cstring> #include<cstdlib> #include<cstdio> #include<iomanip> #pragma warning(disable : 4996) using namespace std; typedef struct { int weight; int parent, lchild, rchild; } htnode, * huffmantree; typedef char** huffmancode; typedef char* huffmancoder; void select(huffmantree ht, int i, int& s1, int& s2) { int w1 = 0, w2 = 0; for (int j = 1; j <= i; j++) { if (ht[j].parent == 0) { if (w1 == 0) { w1 = ht[j].weight; s1 = j; } else if (w2 == 0) { w2 = ht[j].weight; s2 = j; if (w1 > w2) { int t = w1; w1 = w2; w2 = t; t = s1; s1 = s2; s2 = t; } } else if (ht[j].weight < w2) { if (ht[j].weight < w1) { w2 = w1; s2 = s1; w1 = ht[j].weight; s1 = j; } else { w2 = ht[j].weight; s2 = j; } } } } if (s1 > s2) { int t = s1; s1 = s2; s2 = t; } } void puttree(huffmantree ht, int n) { for (int i = 1; i <= n; i++) { cout << setw(8) << ht[i].weight << setw(8) << ht[i].parent << setw(8) << ht[i].lchild << setw(8) << ht[i].rchild << endl; } cout << "--------------------------------" << endl; } void putcode(huffmancode hc, int n) { cout << "Huffman tree编码:" << endl; for (int i = 1; i <= n; i++) { cout << i << " " << hc[i] << endl; } cout << "--------------------------------" << endl; } void huffmancoding(huffmantree& ht, huffmancode& hc, int* w, int n) { if (n <= 1) return; int m = 2 * n - 1; ht = new htnode[m + 1]; huffmantree p = ht; int i = 1; for (; i <= n; i++, w++) { p[i].weight = *w; p[i].parent = 0; p[i].lchild = 0; p[i].rchild = 0; } for (; i <= m; i++) { p[i].weight = 0; p[i].parent = 0; p[i].lchild = 0; p[i].rchild = 0; } cout << "Huffman tree的存储格式(初始状态):" << endl; puttree(ht, m); for (int i = n + 1; i <= m; i++) { int s1, s2; select(ht, i - 1, s1, s2); ht[s1].parent = i; ht[s2].parent = i; ht[i].lchild = s1; ht[i].rchild = s2; ht[i].weight = ht[s1].weight + ht[s2].weight; } cout << "Huffman tree的存储格式(终止状态) :" << endl; puttree(ht, m); hc = new huffmancoder[n + 1]; char* cd = new char[n]; cd[n - 1] = '\0'; for (int i = 1; i <= n; i++) { int start = n - 1; int f = ht[i].parent; for (int c = i; f != 0; c = f, f = ht[f].parent) if (ht[f].lchild == c) cd[--start] = '0'; else cd[--start] = '1'; hc[i] = new char[n - start]; strcpy(hc[i], &cd[start]); } delete[] cd; putcode(hc, n); } void codemodal(huffmantree ht, char* code, int m) { int ch = m, j = 0; int quan[100], xun[100]; for (int i = 0; code[i] != '\0'; i++) { if (ht[ch].lchild == 0 && ht[ch].rchild == 0) { quan[j] = ht[ch].weight; xun[j] = ch; j++; ch = m; i--; } else if (code[i] == '0') ch = ht[ch].lchild; else ch = ht[ch].rchild; } int i = 0; cout << "解码后对应的序号:" << endl; while (i < j) { cout << xun[i] << " "; i++; } cout << endl; cout << "解码后对应的权值:" << endl; i = 0; while (i < j) { cout << quan[i] << " "; i++; } } int main() { huffmantree ht; huffmancode hc; int* w; int n; cout << "请输入Huffman tree的大小:" << endl; cin >> n; w = new int[n + 1]; cout << "请输入Huffman tree的权值:" << endl; int i = n; int* p = w; while (i--) { cin >> *p; p++; } huffmancoding(ht, hc, w, n); char* code; int l; cout << "请输入01编码的长度:" << endl; cin >> l; w = new int[l + 1]; cout << "请输入01编码集:" << endl; i = 0; code = new char[l + 1]; char* q = code; while (i != l) { cin >> q[i]; i++; } q[i] = '\0'; codemodal(ht, code, 2 * n - 1); return 0; }
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