C语言构造哈夫曼树,并打印

许多打印在最后没有注释掉,是debug时用的,参考了一些其他的博客,可以睡了,明天有是新的一周

#include <stdio.h>
#include <stdlib.h>
#define LEN 3
typedef struct Huffman{
    int weight; //权重
    struct Huffman* lch;
    struct Huffman* rch;
}HuffmanNode,*HuffmanTree;

/*创建Huffman树*/
HuffmanTree CreateHuffman(int m[],int n);
/*寻找当前节点的最小与次小,返回节点下标*/
void Select(HuffmanTree HPtr[],int n,int* k1,int* k2);
/*先序遍历打印二叉树*/
void PreOrder(HuffmanTree HPtr);
/*打印二叉树*/
void PrintTree(HuffmanTree T,int i);
int main()
{
    printf("1234\n");
    int n = 6;
    int w[6] = {0,1,2,3,4,5};
    printf("1234\n");
    HuffmanTree HPtr = CreateHuffman(w,n);
    printf("Hello world!\n");
    printf("%d\n",HPtr->weight);
    PreOrder(HPtr);
    printf("\nHello world!\n");
    PrintTree(HPtr,LEN);
    return 0;
}
/*创建Huffman树*/
HuffmanTree CreateHuffman(int w[],int n)
{
    printf("我进来了\n");
   HuffmanTree H_all[n];//保存节点
   int i,k1,k2;
   HuffmanTree H_root = NULL;//合并所用的根结点
   printf("准备初始化\n");
   printf("n = %d\n准备打印数组\n");
   for(i = 0;i < n;i++)
    printf("%d ",w[i]);
   printf("\n");
   /*初始化节点*/
   for(i = 0;i < n;i++)
   {
       printf("i = %d\n",i);
       H_all[i] = (HuffmanTree)malloc(sizeof(HuffmanNode)); //malloc
       if(!H_all[i]) exit(-1); //defeat
       (H_all[i]->weight) = w[i];
       (H_all[i]->lch) = NULL;
       (H_all[i]->lch) = NULL;
   }
   /*合并节点,需要合并n-1次*/
   printf("已经初始化完成\n");
   for(i = 1;i < n;i++)
   {
       /*找到最小值k1.次小值k2*/
       Select(H_all,n,&k1,&k2);
       /*申请结点*/
       H_root = NULL;
       H_root = (HuffmanTree)malloc(sizeof(HuffmanNode));//申请内存
       if(!H_root) exit(-1);//失败
       /*合并*/
       H_root->weight = H_all[k1]->weight + H_all[k2]->weight;
       H_root->lch = H_all[k1];
       H_root->rch = H_all[k2];
       /*将合并后的节点移植到k1,把k2置空*/
       H_all[k1] = H_root;
       H_all[k2] = NULL;
       int j;
       for(j = 0;j < n;j++)
       {
           if(H_all[j])
            printf("H_all[%d]->weight = %d\n",j,H_all[j]->weight);
       }
   }
   return H_root;
}
/*寻找当前节点的最小与次小,返回节点下标*/
void Select(HuffmanTree HPtr[],int n,int* k1,int* k2)
{
    int i;
    (*k1) = -1;
    for(i = 0;i < n;i++)
    {
        if(HPtr[i] && (*k1) == -1)
        {
            (*k1) = i;
        }
        if(HPtr[i] && HPtr[i]->weight < HPtr[*k1]->weight)
        {
            (*k1) = i;
        }
    }
    (*k2) = -1;
    printf("k1 = %d ",(*k1));
    for(i = 0;i < n;i++)
    {
        if(i != (*k1) && HPtr[i] && (*k2) == -1)
        {
            (*k2) = i;
            printf("1~k2 = %d ",(*k2));
        }
        if((*k2) != -1 && HPtr[i] && HPtr[i]->weight < HPtr[*k2]->weight && i != (*k1))
        {
            (*k2) = i;
            printf("2~k2 = %d ",(*k2));
        }
    }
    printf("select函数运行结果:k1=%d,k2=%d\n",(*k1),(*k2));
}
/*先序遍历打印二叉树*/
void PreOrder(HuffmanTree HPtr)
{
    if(HPtr)
    {
    printf("%d ",HPtr->weight);
    PreOrder(HPtr->lch);
    PreOrder(HPtr->rch);
    }
}
void PrintTree(HuffmanTree T,int i)
{
    if(T != NULL)
    {
        PrintTree(T->rch,i+LEN);
        printf("%*d\n",i,T->weight);
        PrintTree(T->lch,i+LEN);
        i -= LEN;
    }
}



#include #include #include #include using namespace std; # define MaxN 100//初始设定的最大结点数 # define MaxC 1000//最大编码长度 # define ImpossibleWeight 10000//结点不可能达到的权值 # define n 26//字符集的个数 //-----------哈夫曼的结点结构类型定义----------- typedef struct //定义哈夫曼各结点 { int weight;//权值 int parent;//双亲结点下标 int lchild;//左孩子结点下标 int rchild;//右孩子结点下标 }HTNode,*HuffmanTree;//动态分配数组存储哈夫曼 typedef char**HuffmanCode;//动态分配数组存储哈夫曼编码表 //-------全局变量-------- HuffmanTree HT; HuffmanCode HC; int *w;//权值数组 //const int n=26;//字符集的个数 char *info;//字符值数组 int flag=0;//初始化标记 //********************************************************************** //初始化函数 //函数功能: 从终端读入字符集大小n , 以及n个字符和n个权值,建立哈夫曼,并将它存于文件hfmTree中 //函数参数: //向量HT的前n个分量表示叶子结点,最后一个分量表示根结点,各字符的编码长度不等,所以按实际长度动态分配空间 void Select(HuffmanTree t,int i,int &s1,int &s2) { //s1为最小的两个值中序号最小的那个 int j; int k=ImpossibleWeight;//k的初值为不可能达到的最大权值 for(j=1;j<=i;j++) { if(t[j].weight<k&&t[j].parent==0) {k=t[j].weight; s1=j;} } t[s1].parent=1; k=ImpossibleWeight; for(j=1;j<=i;j++) { if(t[j].weight0),构造哈夫曼HT,并求出n个字符的哈弗曼编码HC { int i,m,c,s1,s2,start,f; HuffmanTree p; char* cd; if(num<=1) return; m=2*num-1;//m为结点数,一棵有n个叶子结点的哈夫曼共有2n-1个结点,可以存储在一个大小为2n-1的一维数组中 HT=(HuffmanTree)malloc((m+1)*sizeof(HTNode));//0号单元未用 //--------初始化哈弗曼------- for(p=HT+1,i=1;iweight=*w; p->parent=0; p->lchild=0; p->rchild=0; } for(i=num+1;iweight=0; p->parent=0; p->lchild=0; p->rchild=0; } //--------建哈夫曼------------- for(i=num+1;i<=m;i++) { Select(HT,i-1,s1,s2);//在HT[1...i-1]选择parent为0且weight最小的两个结点,其序号分别为s1和s2 HT[s1].parent=i; HT[s2].parent=i; HT[i].lchild=s1; HT[i].rchild=s2;//左孩子权值小,右孩子权值大 HT[i].weight=HT[s1].weight+HT[s2].weight; } //-------从叶子到根逆向求每个字符的哈弗曼编码-------- HC=(HuffmanCode)malloc((num+1)*sizeof(char *));//指针数组:分配n个字符编码的头指针向量 cd=(char*)malloc(n*sizeof(char*));//分配求编码的工作空间 cd[n-1]='\0';//编码结束符 for(i=1;i<=n;i++)//逐个字符求哈弗曼编码 { start=n-1;//编码结束符位置 for(c=i,f=HT[i].parent;f!=0;c=f,f=HT[f].parent)//从叶子到跟逆向求哈弗曼编码 if(HT[f].lchild==c) cd[--start]='0';//判断是左孩子还是右孩子(左为0右为1) else cd[--start]='1'; HC[i]=(char*)malloc((num-start)*sizeof(char*));//按所需长度分配空间 int j,h; strcpy(HC[i],&cd[start]); } free(cd); } //****************初始化函数****************** void Initialization() { flag=1;//标记为已初始化 int i; w=(int*)malloc(n*sizeof(int));//为26个字符权值分配空间 info=(char*)malloc(n*sizeof(char));//为26个字符分配空间 ifstream infile("ABC.txt",ios::in); if(!infile) { cerr<<"打开失败"<<endl; exit(1); } for(i=0;i>info[i]; infile>>w[i]; } infile.close(); cout<<"读入字符成功!"<<endl; HuffmanCoding(HT,HC,w,n); //------------打印编码----------- cout<<"依次显示各个字符的值,权值或频度,编码如下"<<endl; cout<<"字符"<<setw(6)<<"权值"<<setw(11)<<"编码"<<endl; for(i=0;i<n;i++) { cout<<setw(3)<<info[i]; cout<<setw(6)<<w[i]<<setw(12)<<HC[i+1]<<endl; } //---------将建好的哈夫曼写入文件------------ cout<<"下面将哈夫曼写入文件"<<endl; ofstream outfile("hfmTree.txt",ios::out); if(!outfile) { cerr<<"打开失败"<<endl; exit(1); } for(i=0;i<n;i++,w++) { outfile<<info[i]<<" "; outfile<<w[i]<<" "; outfile<<HC[i+1]<<" "; } outfile.close(); cout<<"已经将字符与对应的权值,编码写入根目录下文件hfmTree.txt"<<endl; } //*****************输入待编码字符函数************************* void Input() { char string[100]; ofstream outfile("ToBeTran.txt",ios::out); if(!outfile) { cerr<<"打开失败"<<endl; exit(1); } cout<<"请输入你想要编码的字符串(字符个数应小于100),以#结束"<>string; for(int i=0;string[i]!='\0';i++) { if(string[i]=='\0') break; outfile<<string[i]; } cout<<"获取报文成功"<<endl; outfile.close(); cout<<"------"<<"已经将报文存入根目录下的ToBeTran.txt文件"<<endl; } //******************编码函数**************** void Encoding() { int i,j; char*string; string=(char*)malloc(MaxN*sizeof(char)); cout<<"下面对根目录下的ToBeTran.txt文件中的字符进行编码"<<endl; ifstream infile("ToBeTran.txt",ios::in); if(!infile) { cerr<<"打开失败"<<endl; exit(1); } for(i=0;i>string[i]; } for(i=0;i<100;i++) if(string[i]!='#') cout<<string[i]; else break; infile.close(); ofstream outfile("CodeFile.txt",ios::out); if(!outfile) { cerr<<"打开失败"<<endl; exit(1); } for(i=0;string[i]!='#';i++) { for(j=0;j<n;j++) { if(string[i]==info[j]) outfile<<HC[j+1]; } } outfile<<'#'; outfile.close(); free(string); cout<<"编码完成------"; cout<<"编码已写入根目录下的文件CodeFile.txt中"<<endl; } //******************译码函数**************** void Decoding() { int j=0,i; char *code; code=(char*)malloc(MaxC*sizeof(char)); char*string; string=(char*)malloc(MaxN*sizeof(char)); cout<<"下面对根目录下的CodeFile.txt文件中的代码进行译码"<<endl; ifstream infile("CodeFile.txt",ios::in); if(!infile) { cerr<<"打开失败"<<endl; exit(1); } for( i=0;i>code[i]; if(code[i]!='#') { cout<<code[i]; } else break; } infile.close(); int m=2*n-1; for(i=0;code[i-1]!='#';i++) { if(HT[m].lchild==0) { string[j]=info[m-1]; j++; m=2*n-1; i--; } else if(code[i]=='1') m=HT[m].rchild; else if(code[i]=='0') m=HT[m].lchild; } string[j]='#'; ofstream outfile("TextFile.txt",ios::out); if(!outfile) { cerr<<"打开失败"<<endl; exit(1); } cout<<"的译码为------"<<endl; for( i=0;string[i]!='#';i++) { outfile<<string[i]; cout<<string[i]; } outfile<<'#'; outfile.close(); cout<<"------译码完成------"<<endl; cout<<"译码结果已写入根目录下的文件TextFile.txt中"<<endl; free(code); free(string); } //*************打印编码函数**************** void Code_printing() { int i; char *code; code=(char*)malloc(MaxC*sizeof(char)); cout<<"下面打印根目录下文件CodeFile.txt中的编码"<<endl; ifstream infile("CodeFile.txt",ios::in); if(!infile) { cerr<<"打开失败"<<endl; exit(1); } for( i=0;i>code[i]; if(code[i]!='#') cout<<code[i]; else break; } infile.close(); cout<<endl; ofstream outfile("CodePrin.txt",ios::out); if(!outfile) { cerr<<"打开失败"<<endl; exit(1); } for(i=0;code[i]!='#';i++) { outfile<<code[i]; } outfile.close(); free(code); cout<<"------打印结束------"<<endl; cout<<"该字符形式的编码文件已写入文件CodePrin.txt中"<<endl; } //*************打印哈夫曼函数**************** int numb=0; void coprint(HuffmanTree start,HuffmanTree HT) //start=ht+26这是一个递归算法 { if(start!=HT) { ofstream outfile("TreePrint.txt",ios::out); if(!outfile) { cerr<<"打开失败"<rchild,HT); //递归先序遍历 cout<<setw(5*numb)<weight<rchild==0) cout<<info[start-HT-1]<<endl; outfile<weight; coprint(HT+start->lchild,HT); numb--; outfile.close(); } } void Tree_printing(HuffmanTree HT,int num) { HuffmanTree p; p=HT+2*num-1; //p=HT+26 cout<<"下面打印赫夫曼"<<endl; coprint(p,HT); //p=HT+26 cout<<"打印工作结束"<<endl; } //*************主函数************************** int main() { char choice; do{ cout<<"************哈弗曼编/译码器系统***************"<<endl; cout<<"请选择您所需功能:"<<endl; cout<<":初始化哈弗曼"<<endl; cout<<":输入待编码字符串"<<endl; cout<<":利用已建好的哈夫曼进行编码"<<endl; cout<<":利用已建好的哈夫曼进行译码"<<endl; cout<<":打印代码文件"<<endl; cout<<":打印哈夫曼"<<endl; cout<<":退出"<<endl; if(flag==0) { cout<<"请先初始化哈夫曼,输入I"<<endl; cout<<""<>choice; switch(choice) { case 'I':Initialization();break; case 'W':Input();break; case 'E':Encoding();break; case 'D':Decoding();break; case 'P':Code_printing();break; case 'T':Tree_printing(HT,n);break; case 'Q':;break; default:cout<<"输入的命令出错,请重新输入!"<<endl; } }while(choice!='Q'); free(w); free(info); free(HT); free(HC); system("pause"); return 0; }
以下是使用C语言构造哈夫曼并打印哈夫曼编码的示例代码: ```c #include <stdio.h> #include <stdlib.h> typedef struct HuffmanNode { int weight; struct HuffmanNode *left; struct HuffmanNode *right; } HuffmanNode; typedef struct { int size; HuffmanNode **nodes; } MinHeap; HuffmanNode* createHuffmanNode(int weight) { HuffmanNode *node = (HuffmanNode*)malloc(sizeof(HuffmanNode)); node->weight = weight; node->left = NULL; node->right = NULL; return node; } MinHeap* createMinHeap(int capacity) { MinHeap *heap = (MinHeap*)malloc(sizeof(MinHeap)); heap->size = 0; heap->nodes = (HuffmanNode**)malloc(capacity * sizeof(HuffmanNode*)); return heap; } void swapNodes(HuffmanNode **a, HuffmanNode **b) { HuffmanNode *temp = *a; *a = *b; *b = temp; } void minHeapify(MinHeap *heap, int idx) { int smallest = idx; int left = 2 * idx + 1; int right = 2 * idx + 2; if (left < heap->size && heap->nodes[left]->weight < heap->nodes[smallest]->weight) { smallest = left; } if (right < heap->size && heap->nodes[right]->weight < heap->nodes[smallest]->weight) { smallest = right; } if (smallest != idx) { swapNodes(&heap->nodes[idx], &heap->nodes[smallest]); minHeapify(heap, smallest); } } void buildMinHeap(MinHeap *heap) { int n = heap->size - 1; int i; for (i = (n - 1) / 2; i >= 0; i--) { minHeapify(heap, i); } } HuffmanNode* extractMin(MinHeap *heap) { HuffmanNode *minNode = heap->nodes[0]; heap->nodes[0] = heap->nodes[heap->size - 1]; heap->size--; minHeapify(heap, 0); return minNode; } void insertMinHeap(MinHeap *heap, HuffmanNode *node) { int i = heap->size; heap->size++; while (i > 0 && node->weight < heap->nodes[(i - 1) / 2]->weight) { heap->nodes[i] = heap->nodes[(i - 1) / 2]; i = (i - 1) / 2; } heap->nodes[i] = node; } int isLeaf(HuffmanNode *node) { return !(node->left) && !(node->right); } void printCodes(HuffmanNode *root, int *code, int top) { if (root->left) { code[top] = 0; printCodes(root->left, code, top + 1); } if (root->right) { code[top] = 1; printCodes(root->right, code, top + 1); } if (isLeaf(root)) { printf("Character: %c, Weight: %d, Code: ", root->data, root->weight); for (int i = 0; i < top; i++) { printf("%d", code[i]); } printf("\n"); } } void huffmanCoding(int *weights, int num) { MinHeap *heap = createMinHeap(num); for (int i = 0; i < num; i++) { heap->nodes[i] = createHuffmanNode(weights[i]); } heap->size = num; buildMinHeap(heap); while (heap->size > 1) { HuffmanNode *left = extractMin(heap); HuffmanNode *right = extractMin(heap); HuffmanNode *newNode = createHuffmanNode(left->weight + right->weight); newNode->left = left; newNode->right = right; insertMinHeap(heap, newNode); } int code[100]; int top = 0; HuffmanNode *root = extractMin(heap); printCodes(root, code, top); } int main() { int weights[] = {5, 9, 12, 13, 16, 45}; int num = sizeof(weights) / sizeof(weights[0]); huffmanCoding(weights, num); return 0; } ```
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