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  • 哈夫曼树权值计算

      1 #include <iostream>
      2 #include <iomanip>
      3 using namespace std;
      4 
      5 //哈夫曼树的存储表示
      6 typedef struct
      7 {
      8     int weight;    // 权值
      9     int parent, lChild, rChild;    // 双亲及左右孩子的下标 
     10 }HTNode, *HuffmanTree;
     11 
     12 
     13 // 选择权值最小的两颗树 
     14 void SelectMin(HuffmanTree hT, int n, int &s1, int &s2)
     15 {
     16     s1 = s2 = 0;
     17 
     18     int i;
     19     for(i = 1; i < n; ++ i){
     20         if(0 == hT[i].parent){
     21             if(0 == s1){
     22                 s1 = i;
     23             }
     24             else{
     25                 s2 = i;
     26                 break;
     27             }
     28         }
     29     }
     30     if(hT[s1].weight > hT[s2].weight){
     31         int t = s1;
     32         s1 = s2;
     33         s2 = t;
     34     }
     35 
     36     for(i += 1; i < n; ++ i){
     37         if(0 == hT[i].parent){
     38             if(hT[i].weight < hT[s1].weight){
     39                 s2 = s1;
     40                 s1 = i;
     41             }else if(hT[i].weight < hT[s2].weight){
     42                 s2 = i;
     43             }
     44         }
     45     }
     46 }
     47 
     48 // 构造有n个权值(叶子节点)的哈夫曼树 
     49 void CreateHufmanTree(HuffmanTree &hT)
     50 {
     51     int n, m;
     52     cin >> n;
     53     m = 2*n - 1;
     54 
     55     hT = new HTNode[m + 1];    // 0号节点不使用 
     56     for(int i = 1; i <= m; ++ i){
     57         hT[i].parent = hT[i].lChild = hT[i].rChild = 0;
     58     }
     59     for(int i = 1; i <= n; ++ i){
     60         cin >> hT[i].weight;    // 输入权值 
     61     }
     62     hT[0].weight = m;    // 用0号节点保存节点数量 
     63 
     64     /****** 初始化完毕, 创建哈夫曼树 ******/
     65     for(int i = n + 1; i <= m; ++ i){
     66         int s1, s2;
     67         SelectMin(hT, i, s1, s2);
     68 
     69         hT[s1].parent = hT[s2].parent = i;
     70         hT[i].lChild = s1; hT[i].rChild = s2;    // 作为新节点的孩子 
     71         hT[i].weight = hT[s1].weight + hT[s2].weight;    // 新节点为左右孩子节点权值之和 
     72     }
     73 }
     74 
     75 int HuffmanTreeWPL_(HuffmanTree hT, int i, int deepth)
     76 {
     77     if(hT[i].lChild == 0 && hT[i].rChild == 0){
     78         return hT[i].weight * deepth;
     79     }
     80     else{
     81         return HuffmanTreeWPL_(hT, hT[i].lChild, deepth + 1) + HuffmanTreeWPL_(hT, hT[i].rChild, deepth + 1);
     82     }
     83 }
     84 
     85 // 计算WPL(带权路径长度) 
     86 int HuffmanTreeWPL(HuffmanTree hT)
     87 {
     88     return HuffmanTreeWPL_(hT, hT[0].weight, 0);
     89 }
     90 
     91 // 销毁哈夫曼树 
     92 void DestoryHuffmanTree(HuffmanTree &hT)
     93 {
     94     delete[] hT;
     95     hT = NULL;
     96 }
     97 
     98 int main()
     99 {
    100     HuffmanTree hT;
    101     CreateHufmanTree(hT);
    102     cout << "WPL = " << HuffmanTreeWPL(hT) << endl;
    103     DestoryHuffmanTree(hT);
    104     return 0;
    105 }
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  • 原文地址:https://www.cnblogs.com/liulala2017/p/14055562.html
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