#include <iostream.h>
#include <stdio.h>
#include <string.h>
#define OVERFLOW -1
typedef struct
{
char letter
int weight
int parent
int lchild
int rchild
}HTNode,*HuffmanTree
typedef char * *HuffmanCode
void Select(HuffmanTree &HT,int i,int &s1,int &s2)
{
*将其根结点的下标号记入s1和s2中
*/
int j, k
for(k = 1k <ik++)
{
if(HT[k].parent != NULL)
continue
s1 = k/*init the number*/
break
}
for(j = 1j <ij++)
{
if(HT[j].parent != NULL)
continue
if(HT[j].weight <HT[s1].weight)
s1 = j
}
for(k = 1k <= ik++)
{
if(HT[k].parent != NULL || k == s1)
continue
s2 = k
break
}
for(j = 1j <ij++)
{
if(HT[j].parent != NULL)
continue
if(HT[j].weight <= HT[s2].weight &&j != s1)
s2 = j
}
}
void HuffmanCoding(HuffmanTree &HT,HuffmanCode &HC,char *zi,int *w,int n)
{
HuffmanTree p
int m,i,s1,s2,f,c
int Istart = 1
char *cd
if(n <= 1)
return
m = 2*n-1
if(!(HT=(HuffmanTree)malloc((m+1)*sizeof(HTNode))))
exit(OVERFLOW)
for(p=HT+1,i=1i<=n++i,++zi,++p,++w)
{
/*生成独立的森林*/
p->parent = NULL
p->letter = *zi
p->lchild = NULL
p->rchild = NULL
p->weight = *w
}
for(i<=m++i,++p)
{
(*p).weight=0
(*p).parent=0
(*p).lchild=0
(*p).rchild=0
}
for(i=n+1i<=m++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
}
HC=(HuffmanCode)malloc((n+1)*sizeof(char *))
cd=(char*)malloc(n*sizeof(char))/*临时的code存储*/
cd[n-1]='\0'
for(i=1i<=n++i)
{
Istart = n - 1
/*按已生成的哈夫曼树,得到各个字符的哈夫曼编码
*/
for(c = i, f = HT[i].parentf != 0c = f, f = HT[f].parent)
if(HT[f].lchild == c)
cd[--Istart] = '0'
else
cd[--Istart] = '1'
HC[i] = (char *)malloc((n - Istart) * sizeof(char))
strcpy(HC[i], &cd[Istart])
}
free(cd)
}
void main()
{
HuffmanTree HT
HuffmanCode HC
int i,j,yu
char zi[9]={'A','B','C','D','E','F','G','H'}
int w[100]
char z
char c[100]
z='A'
cout<<endl
for(i=0i<=7i++)
{
cout<<"please input the weight for "<<z<<":"
cin>>w[i]
z++
}
HuffmanCoding(HT,HC,zi,w,8)
cout<<endl
cout<<"char weight huffmancode"<<endl
for(i=1i<=8i++)
cout<<HT[i].letter<<" "<<HT[i].weight<<" "<<HC[i]<<endl
cout<<"please input the text:"
cin>>c
cout<<"The code is:"
for(i=0i <strlen(c) i++)
/*根据字符的哈夫曼编码,将输入的文本(变量c表示的)翻译成电码。
*/
cout<<HC[(c[i] - 'A' + 1)]
cout<<endl
cout<<"Enter the code:"
cin>>c
j=strlen(c)
yu=15
i=1
cout<<"The text is:"
while(i <= j)
{
while(HT[yu].lchild != 0)/*因为是完全二叉树*/
{
if(c[i-1] == '0')
{
/*用哈夫曼树,将输入的电码(变量c表示的)翻译成文本,
说明:变量名c在程序中
*/
yu = HT[yu].lchild
i++
continue
}
if(c[i-1]== '1')
{
yu=HT[yu].rchild
i++
continue
}
}
/*显示由部分电码译码得到的字符,并准备对后面的电码进行译码*/
cout<<HT[yu].letter
yu = 15
}
cout<<endl
}
Matlab自带Huffman函数(ps:你拼写错了)huffmandeco Huffman decoder
huffmandict Generate Huffman code dictionary for a source with known probability model
huffmanenco Huffman encoder
密码生成:
symbols = [1 2 3]% Data symbols
p = [0.1 0.1 0.8]% Probability of each data symbol
dict = huffmandict(symbols,p) % Create the dictionary.
dict{1,:} % Show one row of the dictionary.
加密解密:
sig = repmat([3 3 1 3 3 3 3 3 2 3],1,50)% Data to encode
symbols = [1 2 3]% Distinct data symbols appearing in sig
p = [0.1 0.1 0.8]% Probability of each data symbol
dict = huffmandict(symbols,p)% Create the dictionary.
hcode = huffmanenco(sig,dict)% Encode the data.
dhsig = huffmandeco(hcode,dict)% Decode the code.
/*********************************************************************** Name: 哈夫曼编码源代码
* 实现过程:着先通过 HuffmanTree() 函数构造哈夫曼树,然后在主函数 main()中
* 自底向上开始(也就是从数组序号为零的结点开始)向上层层判断,若在
* 父结点左侧,则置码为 0,若在右侧,则置码为 1。最后输出生成的编码。
************************************************************************/
#include <stdio.h>
#include<stdlib.h>
#define MAXBIT 100
#define MAXVALUE 10000
#define MAXLEAF 30
#define MAXNODE MAXLEAF*2 -1
typedef struct
{
int bit[MAXBIT]
int start
} HCodeType /* 编码结构体 */
typedef struct
{
int weight
int parent
int lchild
int rchild
int value
} HNodeType /* 结点结构体 */
/* 构造一颗哈夫曼树 */
void HuffmanTree (HNodeType HuffNode[MAXNODE], int n)
{
/* i、j: 循环变量,m1、m2:构造哈夫曼树不同过程中两个最小权值结点的权值,
x1、x2:构造哈夫曼树不同过程中两个最小权值结点在数组中的序号。*/
int i, j, m1, m2, x1, x2
/* 初始化存放哈夫曼树数组 HuffNode[] 中的结点 */
for (i=0 i<2*n-1 i++)
{
HuffNode[i].weight = 0//权值
HuffNode[i].parent =-1
HuffNode[i].lchild =-1
HuffNode[i].rchild =-1
HuffNode[i].value=i //实际值,可根据情况替换为字母
} /* end for */
/* 输入 n 个叶子结点的权值 */
for (i=0 i<n i++)
{
printf ("Please input weight of leaf node %d: \n", i)
scanf ("%d", &HuffNode[i].weight)
} /* end for */
/* 循环构造 Huffman 树 */
for (i=0 i<n-1 i++)
{
m1=m2=MAXVALUE /* m1、m2中存放两个无父结点且结点权值最小的两个结点 */
x1=x2=0
/* 找出所有结点中权值最小、无父结点的两个结点,并合并之为一颗二叉树 */
for (j=0 j<n+i j++)
{
if (HuffNode[j].weight < m1 && HuffNode[j].parent==-1)
{
m2=m1
x2=x1
m1=HuffNode[j].weight
x1=j
}
else if (HuffNode[j].weight < m2 && HuffNode[j].parent==-1)
{
m2=HuffNode[j].weight
x2=j
}
} /* end for */
/* 设置找到的两个子结点 x1、x2 的父结点信息 */
HuffNode[x1].parent = n+i
HuffNode[x2].parent = n+i
HuffNode[n+i].weight = HuffNode[x1].weight + HuffNode[x2].weight
HuffNode[n+i].lchild = x1
HuffNode[n+i].rchild = x2
printf ("x1.weight and x2.weight in round %d: %d, %d\n", i+1, HuffNode[x1].weight, HuffNode[x2].weight) /* 用于测试 */
printf ("\n")
} /* end for */
/* for(i=0i<n+2i++)
{
printf(" Parents:%d,lchild:%d,rchild:%d,value:%d,weight:%d\n",HuffNode[i].parent,HuffNode[i].lchild,HuffNode[i].rchild,HuffNode[i].value,HuffNode[i].weight)
}*///测试
} /* end HuffmanTree */
//解码
void decodeing(char string[],HNodeType Buf[],int Num)
{
int i,tmp=0,code[1024]
int m=2*Num-1
char *nump
char num[1024]
for(i=0i<strlen(string)i++)
{
if(string[i]=='0')
num[i]=0
else
num[i]=1
}
i=0
nump=&num[0]
while(nump<(&num[strlen(string)]))
{tmp=m-1
while((Buf[tmp].lchild!=-1)&&(Buf[tmp].rchild!=-1))
{
if(*nump==0)
{
tmp=Buf[tmp].lchild
}
else tmp=Buf[tmp].rchild
nump++
}
printf("%d",Buf[tmp].value)
}
}
int main(void)
{
HNodeType HuffNode[MAXNODE] /* 定义一个结点结构体数组 */
HCodeType HuffCode[MAXLEAF], cd /* 定义一个编码结构体数组, 同时定义一个临时变量来存放求解编码时的信息 */
int i, j, c, p, n
char pp[100]
printf ("Please input n:\n")
scanf ("%d", &n)
HuffmanTree (HuffNode, n)
for (i=0 i < n i++)
{
cd.start = n-1
c = i
p = HuffNode[c].parent
while (p != -1) /* 父结点存在 */
{
if (HuffNode[p].lchild == c)
cd.bit[cd.start] = 0
else
cd.bit[cd.start] = 1
cd.start-- /* 求编码的低一位 */
c=p
p=HuffNode[c].parent /* 设置下一循环条件 */
} /* end while */
/* 保存求出的每个叶结点的哈夫曼编码和编码的起始位 */
for (j=cd.start+1 j<n j++)
{ HuffCode[i].bit[j] = cd.bit[j]}
HuffCode[i].start = cd.start
} /* end for */
/* 输出已保存好的所有存在编码的哈夫曼编码 */
for (i=0 i<n i++)
{
printf ("%d 's Huffman code is: ", i)
for (j=HuffCode[i].start+1 j < n j++)
{
printf ("%d", HuffCode[i].bit[j])
}
printf(" start:%d",HuffCode[i].start)
printf ("\n")
}
printf("Decoding?Please Enter code:\n")
scanf("%s",&pp)
decodeing(pp,HuffNode,n)
getch()
return 0
}
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