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本文實例講述了C++數據結構與算法之哈夫曼樹的實現方法。分享給大家供大家參考,具體如下:
哈夫曼樹又稱最優二叉樹,是一類帶權路徑長度最短的樹。
對于最優二叉樹,權值越大的結點越接近樹的根結點,權值越小的結點越遠離樹的根結點。
前面一篇圖文詳解JAVA實現哈夫曼樹對哈夫曼樹的原理與java實現方法做了較為詳盡的描述,這里再來看看C++實現方法。
具體代碼如下:
#include <iostream> using namespace std; #if !defined(_HUFFMANTREE_H_) #define _HUFFMANTREE_H_ /* * 哈夫曼樹結構 */ class HuffmanTree { public: unsigned int Weight; unsigned int Parent; unsigned int lChild; unsigned int rChild; }; typedef char **HuffmanCode; /* * 從結點集合中選出權值最小的兩個結點 * 將值分別賦給s1和s2 */ void Select(HuffmanTree* HT,int Count,int *s1,int *s2) { unsigned int temp1=0; unsigned int temp2=0; unsigned int temp3; for(int i=1;i<=Count;i++) { if(HT[i].Parent==0) { if(temp1==0) { temp1=HT[i].Weight; (*s1)=i; } else { if(temp2==0) { temp2=HT[i].Weight; (*s2)=i; if(temp2<temp1) { temp3=temp2; temp2=temp1; temp1=temp3; temp3=(*s2); (*s2)=(*s1); (*s1)=temp3; } } else { if(HT[i].Weight<temp1) { temp2=temp1; temp1=HT[i].Weight; (*s2)=(*s1); (*s1)=i; } if(HT[i].Weight>temp1&&HT[i].Weight<temp2) { temp2=HT[i].Weight; (*s2)=i; } } } } } } /* * 霍夫曼編碼函數 */ void HuffmanCoding(HuffmanTree * HT, HuffmanCode * HC, int *Weight, int Count) { int i; int s1,s2; int TotalLength; char* cd; unsigned int c; unsigned int f; int start; if(Count<=1) return; TotalLength=Count*2-1; HT = new HuffmanTree[(TotalLength+1)*sizeof(HuffmanTree)]; for(i=1;i<=Count;i++) { HT[i].Parent=0; HT[i].rChild=0; HT[i].lChild=0; HT[i].Weight=(*Weight); Weight++; } for(i=Count+1;i<=TotalLength;i++) { HT[i].Weight=0; HT[i].Parent=0; HT[i].lChild=0; HT[i].rChild=0; } //建造哈夫曼樹 for(i=Count+1;i<=TotalLength;++i) { 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; } //輸出霍夫曼編碼 (*HC)=(HuffmanCode)malloc((Count+1)*sizeof(char*)); cd = new char[Count*sizeof(char)]; cd[Count-1]='\0'; for(i=1;i<=Count;++i) { start=Count-1; for(c = i,f = HT[i].Parent; f != 0; c = f, f = HT[f].Parent) { if(HT[f].lChild == c) cd[--start]='0'; else cd[--start]='1'; (*HC)[i] = new char [(Count-start)*sizeof(char)]; strcpy((*HC)[i], &cd[start]); } } delete [] HT; delete [] cd; } /* * 在字符串中查找某個字符 * 如果找到,則返回其位置 */ int LookFor(char *str, char letter, int count) { int i; for(i=0;i<count;i++) { if(str[i]==letter) return i; } return -1; } void OutputWeight(char *Data,int Length, char **WhatLetter, int **Weight,int *Count) { int i; char* Letter = new char[Length]; int* LetterCount = new int[Length]; int AllCount=0; int Index; int Sum=0; float Persent=0; for(i=0;i<Length;i++) { if(i==0) { Letter[0]=Data[i]; LetterCount[0]=1; AllCount++; } else { Index=LookFor(Letter,Data[i],AllCount); if(Index==-1) { Letter[AllCount]=Data[i]; LetterCount[AllCount]=1; AllCount++; } else { LetterCount[Index]++; } } } for(i=0;i<AllCount;i++) { Sum=Sum+LetterCount[i]; } (*Weight) = new int[AllCount]; (*WhatLetter) = new char[AllCount]; for(i=0;i<AllCount;i++) { Persent=(float)LetterCount[i]/(float)Sum; (*Weight)[i]=(int)(1000*Persent); (*WhatLetter)[i]=Letter[i]; } (*Count)=AllCount; delete [] Letter; delete [] LetterCount; } #endif void main() { HuffmanTree * HT = NULL; HuffmanCode HC; char Data[100]; char *WhatLetter; int *Weight; int Count; cout<<"請輸入一行文本數據:"<<endl; cin>>Data; cout<<endl; OutputWeight(Data,strlen(Data), &WhatLetter, &Weight, &Count); HuffmanCoding(HT, &HC, Weight, Count); cout<<"字符 出現頻率 編碼結果"<<endl; for(int i = 0; i<Count; i++) { cout<<WhatLetter[i]<<" "; cout<<Weight[i]/1000.0<<"%\t"; cout<<HC[i+1]<<endl; } cout<<endl; }
希望本文所述對大家C++程序設計有所幫助。
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