#include <stdio.h>
#include <malloc.h>
#define Max 100
#define MaxWidth 50
typedef struct tnode
{
char data;
struct tnode *lchild,*rchild;
} BTNode;
void CreateBTree(BTNode * &bt,char *str) //由str创建二叉链bt
{
BTNode *St[Max],*p=NULL;
int top=-1,k,j=0;
char ch;
bt=NULL; //建立的二叉树初始时为空
ch=str[j];
while (ch!='\0') //str未扫描完时循环
{
switch(ch)
{
case '(':top++;St[top]=p;k=1; break; //为左孩子结点
case ')':top--;break;
case ',':k=2; break; //为孩子结点右结点
default:p=(BTNode *)malloc(sizeof(BTNode));
p->data=ch;p->lchild=p->rchild=NULL;
if (bt==NULL) //*p为二叉树的根结点
bt=p;
else //已建立二叉树根结点
{ switch(k)
{
case 1:St[top]->lchild=p;break;
case 2:St[top]->rchild=p;break;
}
}
}
j++;
ch=str[j];
}
}
void DispBTree(BTNode *bt) //以括号表示法输出二叉树
{
if (bt!=NULL)
{
printf("%c",bt->data);
if (bt->lchild!=NULL || bt->rchild!=NULL)
{
printf("(");
DispBTree(bt->lchild); //递归处理左子树
if (bt->rchild!=NULL)
printf(",");
DispBTree(bt->rchild); //递归处理右子树
printf(")");
}
}
}
void PreOrder(BTNode *bt)
{
if (bt!=NULL)
{
printf("%c ",bt->data);
PreOrder(bt->lchild);
PreOrder(bt->rchild);
}
}
void InOrder(BTNode *bt)
{
if (bt!=NULL)
{
InOrder(bt->lchild);
printf("%c ",bt->data);
InOrder(bt->rchild);
}
}
void PostOrder(BTNode *bt)
{
if (bt!=NULL)
{
PostOrder(bt->lchild);
PostOrder(bt->rchild);
printf("%c ",bt->data);
}
}
void LevelOrder(BTNode *b)
{
BTNode *p;
BTNode *qu[Max]; //定义环形队列,存放结点指针
int front,rear; //定义队头和队尾指针
front=rear=-1; //置队列为空队列
rear++;
qu[rear]=b; //根结点指针进入队列
while (front!=rear) //队列不为空
{ front=(front+1)%Max;
p=qu[front]; //队头出队列
printf("%c ",p->data); //访问结点
if (p->lchild!=NULL) //有左孩子时将其进队
{ rear=(rear+1)%Max;
qu[rear]=p->lchild;
}
if (p->rchild!=NULL) //有右孩子时将其进队
{ rear=(rear+1)%Max;
qu[rear]=p->rchild;
}
}
}
int main()
{
BTNode *bt;
CreateBTree(bt,"A(B(D,E(G,H)),C(,F(I)))"); //构造二叉树
printf("\n二叉树bt:");DispBTree(bt);printf("\n");
printf("先序遍历序列:");PreOrder(bt);printf("\n");
printf("中序遍历序列:");InOrder(bt);printf("\n");
printf("后序遍历序列:");PostOrder(bt);printf("\n");
printf("层次遍历序列:");LevelOrder(bt);printf("\n");
return 0;
}