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#include <stdio.h>
#include<stdlib.h>
#include<string.h>
#include<malloc.h>
#include<math.h>
#define M 10
typedef struct Fano_Node
{
char ch;
float weight;
}FanoNode[M];
typedef struct node
{
int start;
int end;
struct node *next;
}LinkQueueNode;
typedef struct
{
LinkQueueNode *front;
LinkQueueNode *rear;
}LinkQueue;
void EnterQueue(LinkQueue *q,int s,int e)
{
LinkQueueNode *NewNode;
NewNode=(LinkQueueNode *)malloc(sizeof(LinkQueueNode));
if(NewNode!=NULL)
{
NewNode->start=s;
NewNode->end=e;
NewNode->next=NULL;
q->rear->next=NewNode;
q->rear=NewNode;
}
else printf("Error!");
}
//***按权分组***//
void Divide(FanoNode f,int s,int *m,int e)
{
int i;
float sum,sum1;
sum=0;
for(i=s;i<=e;i++)
sum+=f.weight;
*m=s;
sum1=0;
for(i=s;i<e;i++)
{
sum1+=f.weight;
*m=fabs(sum-2*sum1)>fabs(sum-2*sum1-2*f.weight)?(i+1):*m;
if(*m==i)
break;
}
}
main()
{
int i,j,n,max,m,h[M];
int sta,mid,end;
float w;
char c,fc[M][M];
FanoNode FN;
LinkQueueNode *p;
LinkQueue *Q;
//***初始化队Q***//
Q->front=(LinkQueueNode *)malloc(sizeof(LinkQueueNode));
Q->rear=Q->front;
Q->front->next=NULL;
printf("\t***FanoCoding***\n");
printf("Please input the number of node:"); /*输入信息*/
scanf("%d",&n);
i=1;
while(i<=n)
{
printf("%d weight and node:",i);
scanf("%f %c",&FN.weight,&FN.ch);
for(j=1;j<i;j++)
{
if(FN.ch==FN[j].ch)
{
printf("Same node!!!\n");
break;
}
}
if(i==j)
i++;
}
for(i=1;i<=n;i++) /*排序*/
{
max=i+1;
for(j=max;j<=n;j++)
max=FN[max].weight<FN[j].weight?j:max;
if(FN.weight<FN[max].weight)
{
w=FN.weight;
FN.weight=FN[max].weight;
FN[max].weight=w;
c=FN.ch;
FN.ch=FN[max].ch;
FN[max].ch=c;
}
}
for(i=1;i<=n;i++) /*初始化h*/
h=0;
EnterQueue(Q,1,n); /*1和n进队*/
while(Q->front->next!=NULL)
{
p=Q->front->next; /*出队*/
Q->front->next=p->next;
if(p==Q->rear)
Q->rear=Q->front;
sta=p->start;
end=p->end;
free(p);
Divide(FN,sta,&m,end); /*按权分组*/
for(i=sta;i<=m;i++)
{
fc[h]='0';
h++;
}
if(sta!=m)
EnterQueue(Q,sta,m);
else
fc[sta][h[sta]]='\0';
for(i=m+1;i<=end;i++)
{
fc[h]='1';
h++;
}
if(m==sta&&(m+1)==end) //如果分组后首元素的下标与中间元素的相等，
{ //并且和最后元素的下标相差为1，则编码码字字符串结束
fc[m][h[m]]='\0';
fc[end][h[end]]='\0';
}
else
EnterQueue(Q,m+1,end);
}
for(i=1;i<=n;i++) /*打印编码信息*/
{
printf("%c:",FN.ch);
printf("%s\n",fc);
}
system("pause");
}
#include<stdio.h>
#include<stdlib.h>
#include<malloc.h>
#include<string.h>
#define N 100
#define M 2*N-1
typedef char * HuffmanCode[2*M];
typedef struct
{
char weight;
int parent;
int LChild;
int RChild;
}HTNode,Huffman[M+1];
typedef struct Node
{
int weight; /*叶子结点的权值*/
char c; /*叶子结点*/
int num; /*叶子结点的二进制码的长度*/
}WNode,WeightNode[N];
/***产生叶子结点的字符和权值***/
void CreateWeight(char ch[],int *s,WeightNode *CW,int *p)
{
int i,j,k;
int tag;
*p=0;
for(i=0;ch!='\0';i++)
{
tag=1;
for(j=0;j<i;j++)
if(ch[j]==ch)
{
tag=0;
break;
}
if(tag)
{
(*CW)[++*p].c=ch;
(*CW)[*p].weight=1;
for(k=i+1;ch[k]!='\0';k++)
if(ch==ch[k])
(*CW)[*p].weight++;
}
}
*s=i;
}
/********创建HuffmanTree********/
void CreateHuffmanTree(Huffman *ht,WeightNode w,int n)
{
int i,j;
int s1,s2;
for(i=1;i<=n;i++)
{
(*ht).weight =w.weight;
(*ht).parent=0;
(*ht).LChild=0;
(*ht).RChild=0;
}
for(i=n+1;i<=2*n-1;i++)
{
(*ht).weight=0;
(*ht).parent=0;
(*ht).LChild=0;
(*ht).parent=0;
}
for(i=n+1;i<=2*n-1;i++)
{
for(j=1;j<=i-1;j++)
if(!(*ht)[j].parent)
break;
s1=j; /*找到第一个双亲不为零的结点*/
for(;j<=i-1;j++)
if(!(*ht)[j].parent)
s1=(*ht)[s1].weight>(*ht)[j].weight?j:s1;
(*ht)[s1].parent=i;
(*ht).LChild=s1;
for(j=1;j<=i-1;j++)
if(!(*ht)[j].parent)
break;
s2=j; /*找到第一个双亲不为零的结点*/
for(;j<=i-1;j++)
if(!(*ht)[j].parent)
s2=(*ht)[s2].weight>(*ht)[j].weight?j:s2;
(*ht)[s2].parent=i;
(*ht).RChild=s2;
(*ht).weight=(*ht)[s1].weight+(*ht)[s2].weight;
}
}
/***********叶子结点的编码***********/
void CrtHuffmanNodeCode(Huffman ht,char ch[],HuffmanCode *h,WeightNode *weight,int m,int n)
{
int i,j,k,c,p,start;
char *cd;
cd=(char *)malloc(n*sizeof(char));
cd[n-1]='\0';
for(i=1;i<=n;i++)
{
start=n-1;
c=i;
p=ht.parent;
while(p)
{
start--;
if(ht[p].LChild==c)
cd[start]='0';
else
cd[start]='1';
c=p;
p=ht[p].parent;
}
(*weight).num=n-start;
(*h)=(char *)malloc((n-start)*sizeof(char));
p=-1;
strcpy((*h),&cd[start]);
}
system("pause");
}
/*********所有字符的编码*********/
void CrtHuffmanCode(char ch[],HuffmanCode h,HuffmanCode *hc,WeightNode weight,int n,int m)
{
int i,j,k;
for(i=0;i<m;i++)
{
for(k=1;k<=n;k++) /*从(*weight)[k].c中查找与ch相等的下标K*/
if(ch==weight[k].c)
break;
(*hc)=(char *)malloc((weight[k].num+1)*sizeof(char));
for(j=0;j<=weight[k].num;j++)
(*hc)[j]=h[k][j];
}
}
/*****解码*****/
void TrsHuffmanTree(Huffman ht,WeightNode w,HuffmanCode hc,int n,int m)
{
int i=0,j,p;
printf("***StringInformation***\n");
while(i<m)
{
p=2*n-1;
for(j=0;hc[j]!='\0';j++)
{
if(hc[j]=='0')
p=ht[p].LChild;
else
p=ht[p].RChild;
}
printf("%c",w[p].c); /*打印原信息*/
i++;
}
}
main()
{
int i,n,m,s1,s2,j; /*n为叶子结点的个数*/
char ch[N],w[N]; /*ch[N]存放输入的字符串*/
Huffman ht; /*二叉数 */
HuffmanCode h,hc; /* h存放叶子结点的编码，hc 存放所有结点的编码*/
WeightNode weight; /*存放叶子结点的信息*/
printf("\t***HuffmanCoding***\n");
printf("please input information :");
gets(ch); /*输入字符串*/
CreateWeight(ch,&m,&weight,&n); /*产生叶子结点信息，m为字符串ch[]的长度*/
printf("***WeightInformation***\n Node "); /*输出叶子结点的字符与权值*/
for(i=1;i<=n;i++)
printf("%c ",weight.c);
printf("\nWeight ");
for(i=1;i<=n;i++)
printf("%d ",weight.weight);
CreateHuffmanTree(&ht,weight,n); /*产生Huffman树*/
printf("\n***HuffamnTreeInformation***\n");
for(i=1;i<=2*n-1;i++) /*打印Huffman树的信息*/
printf("\t%d %d %d %d\n",i,ht.weight,ht.parent,ht.LChild,ht.RChild);
CrtHuffmanNodeCode(ht,ch,&h,&weight,m,n); /*叶子结点的编码*/
printf(" ***NodeCode***\n"); /*打印叶子结点的编码*/
for(i=1;i<=n;i++)
{
printf("\t%c:",weight.c);
printf("%s\n",h);
}
CrtHuffmanCode(ch,h,&hc,weight,n,m); /*所有字符的编码*/
printf("***StringCode***\n"); /*打印字符串的编码*/
for(i=0;i<m;i++)
printf("%s",hc);
system("pause");
TrsHuffmanTree(ht,weight,hc,n,m); /*解码*/
system("pause");
}
Matlab 中简易实现Huffman编译码：
n=input('Please input the total number: ');
hf=zeros(2*n-1,5);
hq=[];
for ki=1:n
hf(ki,1)=ki;
hf(ki,2)=input('Please input the frequency: ');
hq=[hq,hf(ki,2)];
end
for ki=n+1:2*n-1
hf(ki,1)=ki;
mhq1=min(hq);
m=size(hq);
m=m(:,2);
k=1;
while k<=m%del min1
if hq(:,k)==mhq1
hq=[hq(:,1:(k-1)) hq(:,(k+1):m)];
m=m-1;
break
else
k=k+1;
end
end
k=1;
while hf(k,2)~=mhq1|hf(k,5)==1%find min1 location
k=k+1;
end
hf(k,5)=1;
k1=k;
mhq2=min(hq);
k=1;
while k<=m%del min2
if hq(:,k)==mhq2
hq=[hq(:,1:(k-1)) hq(:,(k+1):m)];
m=m-1;
break
else
k=k+1;
end
end
k=1;
while hf(k,2)~=mhq2|hf(k,5)==1%find min2 location
k=k+1;
end
hf(k,5)=1;
k2=k;
hf(ki,2)=mhq1+mhq2;
hf(ki,3)=k1;
hf(ki,4)=k2;
hq=[hq hf(ki,2)];
end
clc
choose=input('Please choose what you want:\n1: Encoding\n2: Decoding\n3:.Exit\n');
while choose==1|choose==2
if choose==1
a=input('Please input the letter you want to Encoding: ');
k=1;
while hf(k,2)~=a
k=k+1;
if k>=n
display('Error! You did not input this number.');
break
end
end
if k>=n
break
end
r=[];
while hf(k,5)==1
kc=n+1;
while hf(kc,3)~=k&hf(kc,4)~=k
kc=kc+1;
end
if hf(kc,3)==k
r=[0 r];
else
r=[1 r];
end
k=kc;
end
r
else
a=input('Please input the metrix you want to Decoding: ');
sa=size(a);
sa=sa(:,2);
k=2*n-1;
while sa~=0
if a(:,1)==0
k=hf(k,3);
else
k=hf(k,4);
end
a=a(:,2:sa);
sa=sa-1;
if k==0
display('Error! The metrix you entered is a wrong one.');
break
end
end
if k==0
break
end
r=hf(k,2);
r
end
choose=input('Please choose what you want:\n1: Encoding\n2: Decoding\n3:.Exit\n');
clc
end
if choose~=1&choose~=2
clc;
end
