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#ifndef _HFTREE_
#define _HFTREE_
#include <string>
using namespace std;
template<class Type>
class hfTree {
private:
struct Node
{
Type data;
int weight;
int parent, left, right;
};
Node * elem;
int length;
public:
struct hfCode {
Type data;
string code;
};
hfTree(const Type *x, const int * w, int size);
void getCode(hfCode result[]);
~hfTree() { delete [] elem; }
};
template<class Type>
hfTree<Type>::hfTree(const Type * v, const int * w, int size)
{
const int max = 32767;
int min1, min2;//最小树,次最小树的权值
int x, y;//最小树,次最小树的下标
length = 2 * size;
elem = new Node[length];
//将数表初始化
for (int i = size; i < length; ++i)
{
elem[i].weight = w[i - size];
elem[i].data = v[i - size];
elem[i].parent = elem[i].left = elem[i].right = 0;
}
//归并森林中的树
for (int i = size - 1; i > 0; --i)
{
min1 = min2 = max; x = y = 0;
for (int j = i + 1; j<length; ++j)
if (elem[j].parent == 0)
if (elem[j].weight<min1)
{
min2 = min1; min1 = elem[j].weight; x = y; y = j;
}
else if (elem[j].weight<min2)
{
min2 = elem[j].weight; x = j;
}//第52-61:找出待归并的两棵树
elem[i].weight = min1 + min2;
elem[i].left = x; elem[i].right = y; elem[i].parent = 0;
elem[x].parent = i; elem[y].parent = i;
}
}
template<class Type>
void hfTree<Type>::getCode(hfCode result[])
{
int size = length / 2;
int p, s;//p是s的父节点
for (int i = size; i<length; ++i)
{
result[i - size].data = elem[i].data;
result[i - size].code = " ";
p = elem[i].parent; s = i;
while (p) {
if (elem[p].left == s)
result[i - size].code = "0" + result[i - size].code;
else result[i - size].code = "1" + result[i - size].code;
s = p; p = elem[p].parent;
}
}
}
#endif // !1
#include"hfTree.h"
#include<iostream>
#include <string>
using namespace std;
/*
输入一篇英文文章,统计每个字符出现的次数,
并以此构造哈夫曼树和输出每个字符的哈夫曼编码,
最后输出这篇文章的编码。
*/
int main()
{
struct Wen
{
char abc;
int weight;
}; Wen *elems;
//结点指针保存文章的字符和权重
cout << "请输入一段英文,按回车键结束。" << endl;
string str;
getline(cin, str);
int str_lenth = str.length();
elems=new Wen [str_lenth];
int _length = 0;
for (int j = 0; j < str_lenth; j++)
for (int i = 0; i <= j; i++)
{
if (elems[i].abc== str[j])
{
elems[i].weight++; break;
}
else if(elems[i].abc==0)
elems[i].abc = str[j];
elems[i].weight = 1;
_length++;
}//两次for循环统计文章相同的字符和权重
char *xx = new char[_length];
int *ww = new int[_length];
for (int i = 0; i < _length; i++) {
xx[i] = elems[i].abc;
ww[i] = elems[i].weight;
}//将文章出现的字符和权重保存在两个数组中
hfTree<char>tree(xx, ww, _length);
hfTree<char>::hfCode result [200];
tree.getCode(result);
for (int i = 0; i < _length; ++i)
cout << result[i].data << " " << result[i].code <<endl;
system("pause");
return 0;
}
#include <iostream>
#include <string>
using namespace std;
struct huffTree {
int parent;
int lchild;
int rchild;
int weight;
string flag;
};
struct Lowest_node {
char ch;
int ch_num;
};
void coding(int length,huffTree *tree,int n,int &a,int &b) {
int i;
int r,s;
r=s=length;
for (i=0;i<n;i++) {
if (tree[i].weight<r
&& tree[i].parent==-1) {
r=tree[i].weight;
a=i;
}
}
for (i=0;i<n;i++) {
if (tree[i].weight<s
&& i!=a
&& tree[i].parent==-1) {
s=tree[i].weight;
b=i;
}
}
}
void frequency(string str) {
int i,j;
int length=str.length();
Lowest_node *node=new Lowest_node[length];
for (i=0;i<length;i++) node[i].ch_num=0;
int char_type_num=0;
for (i=0;i<length;i++) {
for (j=0;j<char_type_num;j++)
if (str[i]==node[j].ch
|| ('a'<=node[j].ch && node[j].ch<='z'
&& str[i]+32==node[j].ch))
break;//
if (j<char_type_num) node[j].ch_num++;
else {
if ('A'<=str[i] && str[i] <= 'Z') node[j].ch=str[i]+32;
else node[j].ch=str[i];
node[j].ch_num++;
char_type_num++;
}
}
for (i=0;i<char_type_num;i++) {
for (j=i;j<char_type_num;j++) {
if (node[j].ch_num<node[j+1].ch_num) {
int temp;
char ch_temp;
temp=node[j].ch_num;
ch_temp=node[j].ch;
node[j].ch_num=node[j+1].ch_num;
node[j].ch=node[j+1].ch;
node[j+1].ch_num=temp;
node[j+1].ch=ch_temp;
}
}
}
for (i=0;i<char_type_num;i++)
cout<<"字符"<<node[i].ch<<"出现了"<<node[i].ch_num<<"次"<<endl;
huffTree *huff=new huffTree[2*char_type_num-1];
huffTree temp;
string *code=new string[2*char_type_num-1];
for (i=0;i<2*char_type_num-1;i++) {
huff[i].lchild=-1;
huff[i].parent=-1;
huff[i].rchild=-1;
huff[i].flag=-1;
}
for (j=0;j<char_type_num;j++) huff[j].weight=node[j].ch_num;
int min1,min2;
for (int k=char_type_num;k<2*char_type_num-1;k++) {
coding(length,huff,k,min1,min2);
huff[min1].parent=k;
huff[min2].parent=k;
huff[min1].flag="0";
huff[min2].flag="1";
huff[k].lchild=min1;
huff[k].rchild=min2;
huff[k].weight=huff[min1].weight+huff[min2].weight;
}
for (i=0;i<char_type_num;i++) {
temp=huff[i];
while (1) {
code[i]=temp.flag+code[i];
temp=huff[temp.parent];
if (temp.parent==-1) break;//
}
}
cout<<"字符串的每个字符huffman编码为:"<<endl;
for (i=0;i<char_type_num;i++) cout<<node[i].ch<<" "<<code[i]<<endl;
cout<<"整个字符串的huffman编码为:"<<endl;
for (i=0;i<length;i++) { //S?
for (j=0;j<char_type_num;j++) {
if (str[i]==node[j].ch)
cout<<code[j];
}
}
delete[] node;
node=NULL;
delete[] huff;
huff=NULL;
delete[] code;
code=NULL;
}
int main() {
int length=0;
string str;
cout<<"请输入一个字符串:";
cin>>str;
frequency(str);
return 0;
}
//请输入一个字符串:2333abcde
//字符3出现了3次
//字符2出现了1次
//字符a出现了1次
//字符b出现了1次
//字符c出现了1次
//字符d出现了1次
//字符e出现了1次
//字符串的每个字符huffman编码为:
//3 11
//2 000
//a 001
//b 010
//c 011
//d 100
//e 101
//整个字符串的huffman编码为:
//000111111001010011100101