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谁能给个建立二叉树,三种递归和非递归遍历C语言的源程序??
二叉树的三种递归遍历的算法:
typedef struct btnode *bitreptr
struct btnode
{datatype data;
bitreptr lchild,rchild;
}
bitreptr root;
void preorder(bitrept r)
/*先根遍历根指针为r的算法*/
{
if(r!=null)
{
visit(r); /*访问根结点*/
preorder(r->lchild);
preorder(r->rchild);
}
}
void preorder(bitrept r)
/*中根遍历根指针为r的算法*/
{
if(r!=null)
{
inorder(r->lchild);
visit(r); /*访问根结点*/
inorder(r->rchild);
}
}
void preorder(bitrept r)
/*后根遍历根指针为r的算法*/
{
if(r!=null)
{
postorder(r->lchild);
postorder(r->rchild);
visit(r); /*访问根结点*/
}
}
//看看这个别人的,呵呵
1.先序遍历非递归算法
#define maxsize 100
typedef struct
{
Bitree Elem[maxsize];
int top;
}SqStack;
void PreOrderUnrec(Bitree t)
{
SqStack s;
StackInit(s);
p=t;
while (p!=null || !StackEmpty(s))
{
while (p!=null) //遍历左子树
{
visite(p->data);
push(s,p);
p=p->lchild;
}//endwhile
if (!StackEmpty(s)) //通过下一次循环中的内嵌while实现右子树遍历
{
p=pop(s);
p=p->rchild;
}//endif
}//endwhile
}//PreOrderUnrec
2.中序遍历非递归算法
#define maxsize 100
typedef struct
{
Bitree Elem[maxsize];
int top;
}SqStack;
void InOrderUnrec(Bitree t)
{
SqStack s;
StackInit(s);
p=t;
while (p!=null || !StackEmpty(s))
{
while (p!=null) //遍历左子树
{
push(s,p);
p=p->lchild;
}//endwhile
if (!StackEmpty(s))
{
p=pop(s);
visite(p->data); //访问根结点
p=p->rchild; //通过下一次循环实现右子树遍历
}//endif
}//endwhile
}//InOrderUnrec
3.后序遍历非递归算法
#define maxsize 100
typedef enum{L,R} tagtype;
typedef struct
{
Bitree ptr;
tagtype tag;
}stacknode;
typedef struct
{
stacknode Elem[maxsize];
int top;
}SqStack;
void PostOrderUnrec(Bitree t)
{
SqStack s;
stacknode x;
StackInit(s);
p=t;
do
{
while (p!=null) //遍历左子树
{
x.ptr = p;
x.tag = L; //标记为左子树
push(s,x);
p=p->lchild;
}
while (!StackEmpty(s) && s.Elem[s.top].tag==R)
{
x = pop(s);
p = x.ptr;
visite(p->data); //tag为R，表示右子树访问完毕，故访问根结点
}
if (!StackEmpty(s))
{
s.Elem[s.top].tag =R; //遍历右子树
p=s.Elem[s.top].ptr->rchild;
}
}while (!StackEmpty(s));
}
二叉树实现源代码如下：
#include <conio.h>
#include <stdio.h>
#include <stdlib.h>
#define OK 1
#define ERROR 0
#define TRUE 1
#define FALSE 0
#define OVERFLOW -2
typedef int status;
typedef struct BiNode
{
char Data;
struct BiNode* lChild;
struct BiNode* rChild;
}BiNode,*pBiNode;
status CreateTree(BiNode** pTree);
status PreOrderTraval(BiNode* pTree);
status Visit(char Data);
status Display(BiNode* pTree,int Level);
status Clear(BiNode* pTree);
BiNode *pRoot=NULL;
main()
{
clrscr();
CreateTree(&pRoot);
printf(" PreOrder:");
PreOrderTraval(pRoot);
printf(" ");
printf(" InOrder:");
InOrderTraval(pRoot);
printf(" ");
printf(" PostOrder:");
PostOrderTraval(pRoot);
printf(" ");
printf(" ShowLeaves:");
ShowLeaves(pRoot);
printf(" ----------------------- ");
printf(" ");
Display(pRoot,0);
printf(" ");
printf(" Deleting Tree: ");
DelTree(pRoot);
printf("BiTree Deleted.");
getch();
}
status CreateTree(BiNode** pTree) /*Input Example: abd##e##cf##g##*/
{
char ch;
scanf("%c",&ch);
if(ch==‘#‘)
{
(*pTree)=NULL;
}
else
{
if(!((*pTree)=(BiNode*)malloc(sizeof(BiNode))))
{
exit(OVERFLOW);
}
(*pTree)->Data=ch;
CreateTree(&((*pTree)->lChild));
CreateTree(&((*pTree)->rChild));
}
return OK;
}
status PreOrderTraval(BiNode* pTree)
{
if(pTree)
{
if(Visit(pTree->Data))
{
if(PreOrderTraval(pTree->lChild))
{
if(PreOrderTraval(pTree->rChild))
{
return OK;
}
}
}
return ERROR;
}
else
{
return OK;
}
}
status InOrderTraval(BiNode* pTree)
{
if(pTree)
{
if(InOrderTraval(pTree->lChild))
{
if(Visit(pTree->Data))
{
if(InOrderTraval(pTree->rChild))
{
return OK;
}
}
return ERROR;
}
return ERROR;
}
else
{
return OK;
}
}
status PostOrderTraval(BiNode* pTree)
{
if(pTree)
{
if(PostOrderTraval(pTree->lChild))
{
if(PostOrderTraval(pTree->rChild))
{
if(Visit(pTree->Data))
{
return OK;
}
return ERROR;
}
}
return ERROR;
}
else
{
return OK;
}
}
status Visit(char Data)
{
printf("%c",Data);
return OK;
}
status Display(BiNode* pTree,int Level)
{
int i;
if(pTree==NULL) return;
Display(pTree->lChild,Level+1);
for(i=0;i<Level-1;i++)
{
printf(" ");
}
if(Level>=1)
{
printf("--");
}
printf("%c ",pTree->Data);
Display(pTree->rChild,Level+1);
}
status ShowLeaves(BiNode* pTree)
{
if(pTree)
{
if(ShowLeaves(pTree->lChild))
{
if(ShowLeaves(pTree->rChild))
{
if((pTree->lChild==NULL)&&(pTree->rChild==NULL))
{
if(!Visit(pTree->Data))
{
return ERROR;
}
}
return OK;
}
}
return ERROR;
}
else
{
return OK;
}
}
status DelTree(BiNode* pTree)
{
if(pTree)
{
if(DelTree(pTree->lChild))
{
if(DelTree(pTree->rChild))
{
printf("Deleting %c ",pTree->Data);
free((void*)pTree);
return OK;
}
}
return ERROR;
}
else
{
return OK;
}
}
