#include<iostream>
#include<malloc.h>
#include<stdio.h>
#define MAXSIZE 20 //最多结点个数
using namespace std;
/*二叉链表*/
typedef struct bnode{
char data;
struct bnode *lchild,*rchild;
}Bnode,* BTree;
/*顺序栈*/
typedef BTree DataType;
typedef struct{
DataType data[MAXSIZE];
int top;
}SeqStack,* PSeqStack;
PSeqStack Init_SeqStack(void); //建空栈
void Push_SeqStack(PSeqStack S,DataType x); //入栈
int Empty_SeqStack(PSeqStack S); //判断栈是否为空
void Pop_SeqStack(PSeqStack S,DataType * y);//出栈
void Destroy_SeqStack(PSeqStack * S); //销毁栈
BTree CreateBinTree(void); //先序创建二叉树
void NRPreOrder(BTree t); //非递归先序遍历
void NRInOrder(BTree t); //非递归中序遍历
void NRPostOrder(BTree t); //非递归后序遍历
/*主函数*/
int main(){
cout<<"\n请按先序次序输入各结点的值,以#表示空树(输入时可连续输入):\n";
BTree T=CreateBinTree();
if(!T){
cout<<"\n未建立树,请先建树!";
return 0;
}
cout<<"\n\n非递归先序遍历:";
NRPreOrder(T);
cout<<"\n非递归中序遍历:";
NRInOrder(T);
cout<<"\n非递归后序遍历:";
NRPostOrder(T);
return 1;
}
/******************************顺序栈的一些基本操作******************************/
/*建空栈*/
PSeqStack Init_SeqStack(void){
PSeqStack S;
S=(PSeqStack)malloc(sizeof(SeqStack));
if(S){
S->top = -1;//表示空栈
}
return S;
}
/*入栈*/
void Push_SeqStack(PSeqStack S,DataType x){
if(S->top == MAXSIZE-1){
cout<<"栈满不能入栈!";
}else{
S->top++;
S->data[S->top]=x;
}
}
/*判断栈是否为空*/
int Empty_SeqStack(PSeqStack S){
if(S->top == -1)
return 1;
else
return 0;
}
/*出栈*/
void Pop_SeqStack(PSeqStack S,DataType * y){
if(Empty_SeqStack(S)){
cout<<"栈空不能出栈!";
}else{
* y=S->data[S->top];
S->top--;
}
}
/*销毁栈*/
void Destroy_SeqStack(PSeqStack * S){
if(* S)
free(* S);
* S=NULL;
}
/*先序创建二叉树*/
BTree CreateBinTree(void){
BTree t;
char ch=getchar();
if(ch=='#')
t=NULL;//读入#时,将相应节点指针置空
else{
t=(Bnode *)malloc(sizeof(Bnode));
t->data=ch;
t->lchild=CreateBinTree();//构造二叉树的左子树
t->rchild=CreateBinTree();//构造二叉树的右子树
}
return t;
}
/******************************非递归******************************/
void NRPreOrder(BTree t){//非递归先序遍历
BTree p=t;
PSeqStack S=Init_SeqStack();
while(p || !Empty_SeqStack(S)){
if(p){
cout<<p->data<<" ";
Push_SeqStack(S,p);
p=p->lchild;
}else{
Pop_SeqStack(S,&p);
p=p->rchild;
}
}
Destroy_SeqStack(&S);
}
void NRInOrder(BTree t){//非递归中序遍历
BTree p=t;
PSeqStack S=Init_SeqStack();
while(p || !Empty_SeqStack(S)){
if(p){
Push_SeqStack(S,p);
p=p->lchild;
}else{
Pop_SeqStack(S,&p);
cout<<p->data<<" ";
p=p->rchild;
}
}
Destroy_SeqStack(&S);
}
void NRPostOrder(BTree t){//非递归后序遍历
BTree p=t;
PSeqStack S1=Init_SeqStack();
PSeqStack S2=Init_SeqStack();
while(p || !Empty_SeqStack(S2)){
if(p){
Push_SeqStack(S1,p);
Push_SeqStack(S2,p);
p=p->rchild;
}else{
Pop_SeqStack(S2,&p);
p=p->lchild;
}
}
while(!Empty_SeqStack(S1)){
Pop_SeqStack(S1,&p);
cout<<p->data<<" ";
}
Destroy_SeqStack(&S1);
Destroy_SeqStack(&S2);
}