electricperi 2015-02-15
C语言非递归实现二叉树的先序、中序、后序、层序遍历代码如下:
#include <stdio.h>
#include <stdlib.h>
#include <stack>
#include <queue>
using namespace std;
//*****二叉树的二叉链表存储表示*****//
typedef struct BiNode
{
char data;
struct BiNode *lchild, *rchild;
int visitCount;
}BiNode, *BiTree;
//*****按先序次序输入二叉树中结点的值(一个字符),空格字符表示空树构造二叉链表表示的二叉树T*****//
void CreateBiTree(BiTree &T)
{
char ch;
scanf("%c", &ch);
if(ch == ' ')
{
T = NULL;
}
else
{
if(!(T = (BiNode *)malloc(sizeof(BiNode))))
{
return;
}
T->data = ch; //生成根结点
T->lchild = NULL;
T->rchild = NULL;
CreateBiTree(T->lchild); //构造左子树
CreateBiTree(T->rchild); //构造右子树
}
return;
}
//*****先序遍历二叉树*****//
void PreOrderTraverse(BiTree T)
{
stack<BiTree> TreeStack;
BiTree p = T;
while (p || !TreeStack.empty())
{
if (p)
{
printf("%c ", p->data);
TreeStack.push(p);
p = p->lchild;
}
else
{
p = TreeStack.top();
TreeStack.pop();
p = p->rchild;
}
}
}
//*****中序遍历二叉树*****//
void InOrderTraverse(BiTree T)
{
stack<BiTree> TreeStack;
BiTree p = T;
while (p || !TreeStack.empty())
{
if (p)
{
TreeStack.push(p);
p = p->lchild;
}
else
{
p = TreeStack.top();
printf("%c ", p->data);
TreeStack.pop();
p = p->rchild;
}
}
}
//*****后序遍历二叉树*****//
void PostOrderTraverse(BiTree T)
{
stack<BiTree> TreeStack;
BiTree p = T;
while (p || !TreeStack.empty())
{
if (p)
{
p->visitCount = 1;
TreeStack.push(p);
p = p->lchild;
}
else
{
p = TreeStack.top();
TreeStack.pop();
if (p->visitCount == 2)
{
printf("%c ", p->data);
p = NULL;
}
else
{
p->visitCount++;
TreeStack.push(p);
p = p->rchild;
}
}
}
}
//*****层序遍历二叉树*****//
void LevelOrderTraverse(BiTree T)
{
if (!T)
{
return;
}
queue<BiTree> TreeQueue;
TreeQueue.push(T);
BiTree p = T;
while (!TreeQueue.empty())
{
p = TreeQueue.front();
TreeQueue.pop();
printf("%c ", p->data);
if (p->lchild)
{
TreeQueue.push(p->lchild);
}
if (p->rchild)
{
TreeQueue.push(p->rchild);
}
}
}
int main(void)
{
BiTree T;
printf("请按先序次序输入二叉树中结点的值(字符),空格字符表示空树:\n");
CreateBiTree(T);
printf("先序遍历结果为:");
PreOrderTraverse(T);
printf("\n\n");
printf("中序遍历结果为:");
InOrderTraverse(T);
printf("\n\n");
printf("后序遍历结果为:");
PostOrderTraverse(T);
printf("\n\n");
printf("层序遍历结果为:");
LevelOrderTraverse(T);
printf("\n\n");
return 0;
}
以如下二叉树为例,给出按先序次序输入二叉树中结点的值(字符),从而按照本文给出的算法构造二叉树。
输入字符的顺序是:-+a空格空格*b空格空格-c空格空格d空格空格/e空格空格f空格空格,即可验证本文提供的遍历算法。