c语言实现二叉排序树
Ⅰ 用c语言实现二叉排序树排序，并按递减顺序打印各个数据
#include <stdio.h>
#include <malloc.h>
typedef int KeyType;
typedef char InfoType[10];
typedef struct node //记录类型
{
KeyType key; //关键字项
InfoType data; //其他数据域
struct node *lchild,*rchild; //左右孩子指针
} BSTNode;
int InsertBST(BSTNode *&p,KeyType k)
{
if (p==NULL) //原树为空, 新插入的记录为根结点
{
p=(BSTNode *)malloc(sizeof(BSTNode));
p->key=k;
p->lchild=p->rchild=NULL;
return 1;
}
else if (k==p->key) //树中存在相同关键字的结点,返回0
return 0;
else if (k<p->key)
return InsertBST(p->lchild,k); //插入到*p的左子树中
else
return InsertBST(p->rchild,k); //插入到*p的右子树中
}
BSTNode *CreateBST(KeyType A[],int n) //返回BST树根结点指针
{
BSTNode *bt=NULL; //初始时bt为空树
int i=0;
while (i<n)
{
InsertBST(bt,A[i]); //将关键字A[i]插入二叉排序树T中
i++;
}
return bt; //返回建立的二叉排序树的根指针
}
void DispInDescrease(BSTNode *bt){ //按从小到大输出查找树中的内容，对该树中序遍历即可
if(bt){
DispInDescrease(bt->lchild);
printf("%d\t",bt->key);
DispInDescrease(bt->rchild);
}
}
void main()
{
BSTNode *bt,*p,*f;
int n=9;
KeyType a[]={1,12,5,8,3,10,7,13,9};
bt=CreateBST(a,n);
DispInDescrease(bt);
}
//已上机验证成功
Ⅱ 二叉排序树的实现(c语言)
#include <stdio.h>
#include <stdlib.h>
#include <malloc.h>
typedef struct btnode
{char data; /*suppose the data field's type is char*/
struct btnode *lchild; /*left pointer field */
struct btnode *rchild; /*right pointer field */
}NODE;
void main()
{ NODE *root,*q,n;
NODE *create(NODE *p);
void preorder(NODE *root);
void inorder(NODE *root);
void postorder(NODE *root);
int t;
q=&n;
root=create(q);
printf("At the first,we create a tree\n");
printf("Please input nodes of tree\n");
if (root==NULL) printf("It's an empty tree!\n");
else
{
printf("\n1.The preordetraverse \n");
printf(" 2.The inordertraverse \n");
printf(" 3.The postordertraverse \n");
printf(" Please choose a kind of order\n");
scanf("%d",&t);
switch (t)
{
case 1: preorder(root); break;
case 2: inorder(root); break;
case 3:postorder(root); break;
default: printf(" The error!");
}
}
}
NODE * create(NODE *p) /*create the structure of binary tree */
{ char ch;
NODE *t;
scanf("%c",&ch);
if(ch==' ') p=NULL;
else
{p->data=ch;
t=(NODE *)malloc(sizeof(NODE));
p->lchild=create(t);
t=(NODE*)malloc(sizeof(NODE));
p->rchild=create(t);
}
return p;
}
void preorder(NODE *root) /*travel the tree using preorder */
{ if (root!=NULL)
{ printf( " %c", root->data);
preorder(root->lchild);
preorder(root->rchild);
}
return;
}
void inorder (NODE *root) /*travel the tree using inorder */
{ if (root!=NULL)
{ inorder(root->lchild);
printf(" %c ", root->data);
inorder(root->rchild);
}
return;
}
void postorder(NODE *root) /*travel the tree using postorder */
{ if (root!=NULL)
{ postorder (root->lchild);
postorder (root->rchild);
printf(" %c ", root->data);
}
return;
}
Ⅲ 二叉排序树的C语言实现
两处编译错误 已修改
见代码中注释([flczzhang]->XXX)
#include<stdio.h>
#include<stdlib.h>
typedefintKeyType;
typedefstructnode
{
KeyTypekey;
structnode*lchild,*rchild;
}BSTNode;
typedefBSTNode*BSTree;
//二叉排序树插入
//若二叉排序树*Tptr中没有关键字为key，则插入，否则直接返回
voidInsertBST(BSTree*TPtr,KeyTypekey)
{
BSTNode*f,*p;
p=*TPtr; //p的初值指向根结点
while(p) //查找插入位置
{
if(p->key==key) //树中已有key，无须插入
{
return;
}
f=p; //f保存当前查找的结点
//若key<p->key，则在左子树中查找，否则在右子树中查找
p=(key<p->key)?p->lchild:p->rchild;
}
p=(BSTNode*)malloc(sizeof(BSTNode));
p->key=key;
p->lchild=p->rchild=NULL; //生成新结点
if(*TPtr==NULL) //原树为空
{
*TPtr=p; //新插入的结点为新的根
}
else//原树非空时将新结点p作为f的左孩子或右孩子插入
{
if(key<f->key)
{
f->lchild=p;
}
else
{
f->rchild=p;
}
}//[flczzhang]->missa}
}
//创建二叉排序树
//输入一个结点序列，建立一棵二叉排序树，将根结点指针返回
BSTreeCreateBST(void)
{
BSTreeT=NULL;
KeyTypekey;
scanf("%d",&key);
while(key) //假设key=0是输人结束标志
{
InsertBST(&T,key); //将key插入二叉排序树T
scanf("%d",&key); //读人下一关键字
}
returnT;
}
//查找二叉排序树T中是否存在指定的key
//指针f指向T的双亲,f初始值为NULL
//若查找成功返回1，指针p指向该数据元素结点，否则返回0，p指向查找过程中的最后一个结点
intSearchBST(BSTreeT,intkey,BSTreef,BSTree*p)
{
if(!T)
{
*p=f;
return0;
}
elseif(T->key==key)
{
*p=T;
return1;
}
elseif(T->key>key)
{
returnSearchBST(T->lchild,key,T,p);
}
else
{
returnSearchBST(T->rchild,key,T,p);
}
}
//访问节点数据
voidvisit(KeyTypec,intlevel)
{
printf("%d在第%d层 ",c,level);
}
//前序遍历树节点
voidPreorderTraverse(BSTreeT,intlevel)
{
if(T)
{
visit(T->key,level);
PreorderTraverse(T->lchild,level+1);
PreorderTraverse(T->rchild,level+1);
}
}
intmain()
{
intlevel=1;
BSTreeT;
T=CreateBST();//[flczzhang]->(missinge)
PreorderTraverse(T,level);
return0;
}
Ⅳ 二叉排序树的实现（c语言）
/*二叉树的基本运算与实现*/
#include <stdio.h>
#include <malloc.h>
#define MAXNODE 256
typedef int datatype;
typedef struct BiTNode
{
datatype data;
struct BiTNode *lchild,*rchild;
}BiTNode,*BiTree;
typedef struct
{
BiTree link;
int flag;
}stacktype;void menu();
int Initiate(BiTree *bt,datatype x);
BiTree InsertL(BiTree bt,datatype x,BiTree parent);
BiTree InsertR(BiTree bt,datatype x,BiTree parent);
BiTree DeleteL(BiTree bt,BiTree parent);
BiTree DeleteR(BiTree bt,BiTree parent);
void PreOrder(BiTree bt);
void InOrder(BiTree bt);
void PostOrder(BiTree bt);
void LevelOrder(BiTree bt);
BiTree Find(BiTree parent,datatype a);
void NRPreOrder(BiTree bt);
void NRInOrder(BiTree bt);
void NRPostOrder(BiTree bt);void main()
{
int n,m=1;
BiTree t; /*clrscr();*/
while(m)
{
menu();
scanf("%d",&n);
switch(n)
{
case 1:{/*初始化*/
int flag;
datatype x;
printf("please input head point x:\n");
scanf("%d",&x);
flag=Initiate(&t,x);
if(flag==1)
printf("\nInitiate success!");
else
printf("\nInitiate fail!");
break;
}
case 2:{/*建树*/
break;
}
case 3:{/*插入结点x作为a的左孩子*/
datatype a,x;/*x作为a的左孩子*/
BiTree parent=t;
printf("please input a and x:\n");
scanf("%d%d",&a,&x);
parent=Find(parent,a);
parent=InsertL(t,x,parent);
if(parent!=NULL)
t=parent;
break;
}
case 4:{/*插入结点x作为a的右孩子*/
datatype a,x;/*x作为a的右孩子*/
BiTree parent=t;
printf("please input a and x:\n");
scanf("%d%d",&a,&x);
parent=Find(parent,a);
parent=InsertR(t,x,parent);
if(parent!=NULL)
t=parent;
break;
}
case 5:{/*删除结点a的左孩子*/
datatype a;
BiTree parent=t;
printf("please input a:\n");
scanf("%d",&a);
parent=Find(parent,a);
parent=DeleteL(t,parent);
if(parent!=NULL)
t=parent;
break;
}
case 6:{/*删除结点a的左孩子*/
datatype a;
BiTree parent=t;
printf("please input a:\n");
scanf("%d",&a);
parent=Find(parent,a);
parent=DeleteR(t,parent);
if(parent!=NULL)
t=parent;
break;
}
case 7:{/*递归先序遍历*/
PreOrder(t);
break;
}
case 8:{/*递归中序遍历*/
InOrder(t);
break;
}
case 9:{/*递归后序遍历*/
PostOrder(t);
break;
}
case 10:{/*层次遍历*/
LevelOrder(t);
break;
}
case 11:{/*先序遍历的非递归实现*/
NRPreOrder(t);
break;
}
case 12:{/*中序遍历的非递归实现*/
NRInOrder(t);
break;
}
case 13:{/*后序遍历的非递归实现*/
NRPostOrder(t);
break;
}
case 0:m=0;
}
}
}
void menu()
{
/*clrscr();*/
printf("\n");
printf("\t\t1.initiate\n\n");
printf("\t\t2.create thread\n\n");
printf("\t\t3.insert Left\n\n");
printf("\t\t4.insert Right\n\n");
printf("\t\t5.delete Left\n\n");
printf("\t\t6.delete Right\n\n");
printf("\t\t7.preorder\n\n");
printf("\t\t8.inorder\n\n");
printf("\t\t9.postorder\n\n");
printf("\t\t10.levelorder\n\n");
printf("\t\t11.nrpreorder\n\n");
printf("\t\t12.nrinorder\n\n");
printf("\t\t13.nrpostorder\n\n");
printf("\t\t0.exit\n\n");
printf("\n\n\n\tplease select:");
}
int Initiate(BiTree *bt,datatype x)
{
if((*bt=(BiTNode*)malloc(sizeof(BiTNode)))==NULL)
return 0;
(*bt)->data=x;
(*bt)->lchild=NULL;
(*bt)->rchild=NULL;
return 1;
}
BiTree InsertL(BiTree bt,datatype x,BiTree parent)
{
BiTree p;
if(parent==NULL)
{
printf("\nerror!\n");
return NULL;
}
if((p=(BiTNode*)malloc(sizeof(BiTNode)))==NULL)
return NULL;
p->data=x;
p->lchild=NULL;
p->rchild=NULL;
if(parent->lchild==NULL)
parent->lchild=p;
else
{
p->lchild=parent->lchild;
parent->lchild=p;
}
return bt;
}
BiTree InsertR(BiTree bt,datatype x,BiTree parent)
{
BiTree p;
if(parent==NULL)
{
printf("\nerror!\n");
return NULL;
}
if((p=(BiTNode*)malloc(sizeof(BiTNode)))==NULL)
return NULL;
p->data=x;
p->lchild=NULL;
p->rchild=NULL;
if(parent->rchild==NULL)
parent->rchild=p;
else
{
p->rchild=parent->rchild;
parent->rchild=p;
}
return bt;
}
BiTree DeleteL(BiTree bt,BiTree parent)
{
BiTree p;
if(parent==NULL||parent->lchild==NULL)
{
printf("\ndelete error!");
return NULL;
}
p=parent->lchild;
parent->lchild=NULL;
free(p);
return bt;
}
BiTree DeleteR(BiTree bt,BiTree parent)
{
BiTree p;
if(parent==NULL||parent->rchild==NULL)
{
printf("\ndelete error!");
return NULL;
}
p=parent->rchild;
parent->rchild=NULL;
free(p);
return bt;
}
void PreOrder(BiTree bt)
{
if(bt==NULL)
return;
printf("%5d",bt->data);
PreOrder(bt->lchild);
PreOrder(bt->rchild);
}
void InOrder(BiTree bt)
{
if(bt==NULL)
return;
InOrder(bt->lchild);
printf("%5d",bt->data);
InOrder(bt->rchild);
}
void PostOrder(BiTree bt)
{
if(bt==NULL)
return;
PostOrder(bt->lchild);
PostOrder(bt->rchild);
printf("%5d",bt->data);
}
void LevelOrder(BiTree bt)
{
BiTree Queue[MAXNODE];
int front,rear;
if(bt==NULL)
{
return;
}
front = -1;
rear = 0;
Queue[rear] = bt;
while(front!=rear)
{
front++;
printf("%5d",Queue[front]->data);
if(Queue[front]->lchild!=NULL)
{
rear++;
Queue[rear]=Queue[front]->lchild;
}
if(Queue[front]->rchild!=NULL)
{
rear++;
Queue[rear]=Queue[front]->rchild;
}
}//end while
}
BiTree Find(BiTree parent,datatype a)
{
BiTree p;
if(parent==NULL)
p=NULL;
else if(parent->data==a)
p=parent;
else
{
p=Find(parent->lchild,a);
if(p==NULL)
p=Find(parent->rchild,a);
}
return p;
}
void NRPreOrder(BiTree bt)
{
BiTree stack[MAXNODE],p;
int top;
if(bt==NULL)
{
printf("Tree is empty!\n");
return;
}
top=-1;
p=bt;
while((p!=NULL)||(top!=-1))
{
while(p!=NULL)
{
printf("%5d",p->data);
if(top==MAXNODE-1)
{
printf("Stack overflow!\n");
return;
} /* end if */
else
{
top++;
stack[top]=p;
} /* end if-else */
p=p->lchild;
} /* end while p */
p=stack[top];
top--;
p=p->rchild;
} /* end while p && top */
}
void NRInOrder(BiTree bt)
{
BiTree stack[MAXNODE],p;
int top;
if(bt==NULL)
{
printf("Tree is empty!\n");
return;
}
top=-1;
p=bt;
while((p!=NULL)||(top!=-1))
{
while(p!=NULL)
{
if(top==MAXNODE-1)
{
printf("Stack overflow!\n");
return;
} /* end if */
else
{
top++;
stack[top]=p;
} /* end if-else */
p=p->lchild;
} /* end while p */
p=stack[top];
top--;
printf("%5d",p->data);
p=p->rchild;
} /* end while p && top */
}
void NRPostOrder(BiTree bt)
{
stacktype stack[MAXNODE];
BiTree p;
int top,sign;
if(bt==NULL)
{
printf("Tree is empty!\n");
return;
}
top=-1;
p=bt;
while((p!=NULL)||(top!=-1))
{
if(p!=NULL) /*结点第一次入栈*/
{
top++;
stack[top].link=p;
stack[top].flag=1; /*标记第一次入栈*/
p=p->lchild;
} /* end if */
else
{
p=stack[top].link;
sign=stack[top].flag;
top--;
if(sign==1) /*结点第二次入栈*/
{
top++;
stack[top].link=p;
stack[top].flag=2; /*标记第二次入栈*/
p=p->rchild;
} /* end if */
else
{
printf("%5d",p->data);
p=NULL;
} /* end if-else */
} /* end if-else */
} /* end while */
}
Ⅳ 用c语言实现二叉排序树的各种算法
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Ⅵ 数据结构二叉树的程序，用c语言怎么实现
您好，想要实现一个二叉树，需要用到结构体来存储每个节点的信息，并使用指针来存储每个节点的左右子节点的地址。具体的实现方法可以参考下面的代码示例：
#include <stdio.h>
#include <stdlib.h>
struct TreeNode {
int val;
struct TreeNode *left;
struct TreeNode *right;
};
struct TreeNode* createNode(int val) {
struct TreeNode* node = (struct TreeNode*) malloc(sizeof(struct TreeNode));
node->val = val;
node->left = NULL;
node->right = NULL;
return node;
}
void insertNode(struct TreeNode* root, int val) {
if (root == NULL) {
return;
}
if (val < root->val) {
if (root->left == NULL) {
root->left = createNode(val);
} else {
insertNode(root->left, val);
}
} else {
if (root->right == NULL) {
root->right = createNode(val);
} else {
insertNode(root->right, val);
}
}
}
void printTree(struct TreeNode* root) {
if (root == NULL) {
return;
}
printf("%d ", root->val);
printTree(root->left);
printTree(root->right);
}
int main() {
struct TreeNode* root = createNode(5);
insertNode(root, 3);
insertNode(root, 2);
insertNode(root, 4);
insertNode(root, 7);
insertNode(root, 6);
insertNode(root, 8);
printTree(root);
return 0;
}
在这段代码中，我们定义了一个结构体 TreeNode 来表示二叉树的每个节点，结构体中包含了一个节点的数值 val，以及指向左子节点和右子节点的指针 left 和 right。
Ⅶ 实现二叉排序树建立和检索算法(C语言）【急求】
#include <stdlib.h>
#include <time.h>
#include <stdio.h>
#define INFMT "%d"
#define OUTFMT "%d "
/* #define NULL 0L */
#define BOOL int
#define TRUE 1
#define FALSE 0
#define LEN 10000
typedef int ElemType;
typedef struct BSTNode
{
ElemType data;
struct BSTNode *lchild, *rchild;
} BSTNode, *BSTree;
/* 插入新节点 */
void Insert(BSTree *tree, ElemType item)
{
BSTree node = (BSTree)malloc(sizeof(BSTNode));
node->data = item;
node->lchild = node->rchild = NULL;
if (!*tree)
*tree = node;
else
{
BSTree cursor = *tree;
while (1)
{
if (item < cursor->data)
{
if (NULL == cursor->lchild)
{
cursor->lchild = node;
break;
}
cursor = cursor->lchild;
}
else
{
if (NULL == cursor->rchild)
{
cursor->rchild = node;
break;
}
cursor = cursor->rchild;
}
}
}
return;
}
/* 查找指定值 */
BSTree Search(BSTree tree, ElemType item)
{
BSTree cursor = tree;
while (cursor)
{
if (item == cursor->data)
return cursor;
else if ( item < cursor->data)
cursor = cursor->lchild;
else
cursor = cursor->rchild;
}
return NULL;
}
/* 中缀遍历 */
void Inorder(BSTree tree)
{
BSTree cursor = tree;
if (cursor)
{
Inorder(cursor->lchild);
printf(OUTFMT, cursor->data);
Inorder(cursor->rchild);
}
}
/* 回收资源 */
void Cleanup(BSTree tree)
{
BSTree cursor = tree, temp = NULL;
if (cursor)
{
Cleanup(cursor->lchild);
Cleanup(cursor->rchild);
free(cursor);
}
}
/* 产生一组随机数 */
void randnum(int *a, int s)
{
int i, j, mod = s * 10;
srand(time(NULL));
for (i = 0; i < s; ++i)
{
a[i] = rand() % mod + 1;
for (j = 0; j < i; ++j)
{
if (a[i] == a[j])
{
a[i] = rand() % mod + 1;
j = -1;
continue;
}
}
}
}
void main()
{
ElemType item;
char choice;
BSTree root = NULL, ret; /* 必须赋予NULL值，否则出错 */
BOOL finish = FALSE;
printf("***欢迎使用二叉排序树演示程序***\n\n");
printf("请选择创建树的方式：\n");
printf("1. 手动输入数据创建二叉排序树\n");
printf("2. 自动产生数据创建二叉排序树\n");
do
{
scanf("%c", &choice);
getchar();
if (choice == '1' || choice == '2')
finish = TRUE;
} while (FALSE == finish);
switch (choice)
{
case '1':
{
printf("请输入数据(-10000结束)：\n");
while (1)
{
scanf(INFMT, &item);
if (-10000 != item)
Insert(&root, item);
else
break;
}
break;
}
case '2':
{
int ia[LEN], i = 0, loop = LEN;
randnum(ia, LEN);
while (loop--)
{
Insert(&root, ia[i++]);
}
break;
}
}
printf("\n\n创建完成...\n");
Inorder(root);
printf("\n\n");
/* 二叉排序树的查找测试 */
do
{
printf("\n请输入查找数据：");
scanf("%d", &item);
getchar();
printf("Searching...\n");
ret = Search(root, item);
if (NULL == ret)
printf("查找失败！");
else
printf("查找成功！");
printf("\n继续测试按y，退出按其它键。\n");
choice = getchar();
} while (choice=='y'||choice=='Y');
Cleanup(root);
}
Ⅷ 用C语言实现二叉排序树的构造
#include <滑判stdio.h>
#include <stdlib.h>
typedef struct bnode
{
int data;
struct bnode *left , *right ;
} btree ;
void insert(btree **b , btree *s)
{
if(*b==NULL) *b = s ;
else if((*b)->data == s->data)
return ;
else if(s->橡枣data > (*b)->data)
insert(&(*b)->right , s);
else if(s->data < (*b)->data)
insert(&(*b)->left , s);
}
void creatTree(btree **b)
{
int x ;
btree *s ;
*b = NULL ;
do
{
printf("Input data please : ");
scanf("%d",&x);
s = (btree *)malloc(sizeof(btree)) ;
s->data = x ;
s->left = NULL ;
s->right = NULL ;
insert( b , s );
} while(x != 0 );
}
void print(btree *b)
{
if (b != NULL)
{
printf("%d",b->data);
if (b->left != NULL || b->信如改right != NULL)
{
printf("(");
print(b->left);
if(b->right != NULL)
printf(", ");
print(b->right);
printf(")");
}
}
}
void preorder(btree *b)
{
if (b!=NULL)
{
printf("%d",b->data);
preorder(b->left);
preorder(b->right);
}
}
void main()
{
btree *t = NULL;
creatTree(&t);
printf("The binary tree is : ");
print(t);
printf("\n");
preorder(t);
printf("\n");
}
Ⅸ 二叉排序树的应用用C语言怎么编写啊
hglhkthk;gh1654*(^)
Ⅹ 数据结构课程设计（C版语言）二叉排序树算法
下面的程序包含了树二叉树的所有操作
在二叉树的应用中有二叉排序树。
都是C语言，只不过用了C++的cin(输入)和cout（输出）,因为这两个不需要格式控制符。
//建一个工程：包含头文件：bittree.h Cpp文件：bittree.cpp main函数:main.cpp
编译运行就可以了。
///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
//头文件 bittree.h
#ifndef _DEF
#define _DEF
#include <stdlib.h>
#include <stdio.h>
#include <iostream>
using namespace std;
#define TURE 1
#define OK 1
#define FALSE 0
#define ERROR 0
#define INFEASIBLE -1//不可实行的
#define OVERFLOW -2
typedef int stas;
typedef char Telemtype;
//typedef int Telemtype2;//为了二叉排序树的创建
typedef char ElemType;
#define STACK_SIZE 100;
#define STACKINCREMENT 10;
//二叉树
typedef struct bitnode{
Telemtype data;
struct bitnode *lchild,*rchild;
}BitNode,*BitTree;
extern stas CreateBitTree(BitTree &T);
extern stas PreOrderTraverse(BitTree T);
extern stas InOrderTraverse(BitTree T);
extern stas PostOrderTraverse(BitTree T);
typedef BitNode selemtypechar;
typedef BitTree selemtypechar2;
// 栈
typedef struct SqStack{
selemtypechar2 *base;
selemtypechar2 *top;
int stacksize;
}sqstack;
extern stas initstackC(sqstack &S);
extern stas gettopC(sqstack S,selemtypechar2 &e);
extern stas pushC(sqstack &S,selemtypechar2 e);
extern stas popC(sqstack &S,selemtypechar2 &e);
extern stas destroyC(sqstack &S);//销毁
extern stas clearC(sqstack &S);//置空
extern stas stackempty(sqstack S);
//栈实现二叉树的输出
extern stas PreOrderTraverse2(BitTree T);
extern stas InOrderTraverse2(BitTree T);
extern stas PostOrderTraverse2(BitTree T);
//二叉树的应用
extern stas Depth(BitTree T);
extern stas Single(BitTree T);
extern stas Double(BitTree T);
extern stas CountLeaf(BitTree T);
extern void Change_Left_Right(BitTree T);
//二叉层次遍历用到队列
typedef BitTree Qelemtype;
typedef struct QNode{
Qelemtype data;
struct QNode *next;
}qnode,*QueuePtr;
typedef struct {
QueuePtr front;
QueuePtr rear;
}LinkQueue;
extern stas InitQueue(LinkQueue &Q);
extern stas DestroyQueue(LinkQueue &Q);
extern stas EnterQueue(LinkQueue &Q,Qelemtype e);
extern stas DeQueue(LinkQueue &Q,Qelemtype &e);
//二叉层次遍历
extern stas LevelOrder(BitTree T);
//二叉排序树
extern void insert(BitTree &T,ElemType x);
extern void CreateBiTree2(BitTree &root);
#endif
/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
//cpp文件 bittree.cpp
#include "bittree.h"
#include <stdlib.h>
stas initstackC (sqstack &s)
{
s.base=(selemtypechar2 *)malloc(100*sizeof(selemtypechar));//用STACKINCREMENT会报错？？？
if (!s.base) exit(OVERFLOW);
s.top=s.base;
s.stacksize=100;
return OK;
}
stas gettopC(sqstack s,selemtypechar2 &e)
{
if(s.base==s.top) return ERROR;
e=*(s.top-1);
return OK;
}
stas pushC(sqstack &s,selemtypechar2 e)
{
if ((s.top-s.base)>=s.stacksize)
{
s.base=(selemtypechar2 *)realloc(s.base,((s.stacksize+10)*(sizeof(selemtypechar))));
if(!s.base) exit(OVERFLOW);
s.top=s.base+s.stacksize;
s.stacksize+=10;
}
*(s.top++)=e;
//s.top++;
return OK;
}
stas popC(sqstack &s,selemtypechar2 &e)
{
if(s.top==s.base) return ERROR;
--s.top;
e=*(s.top);
return OK;
}
stas destroyC(sqstack &s)
{
free(s.base); s.base=NULL;s.top=NULL;
return OK;
}
stas clearC(sqstack &s)
{
s.top=s.base;
return OK;
}
stas stackempty(sqstack s)
{
if(s.top!=s.base) return ERROR;
else
return OK;
}
//二叉树
stas CreateBitTree(BitTree &T)//创建
{
Telemtype ch;
cin>>ch;
if(ch=='#') T=NULL;
else{
T=(BitTree)malloc(sizeof(BitNode));
if (!T) exit (OVERFLOW);
T->data=ch;
CreateBitTree(T->lchild);
CreateBitTree(T->rchild);
}
return OK;
}
stas PreOrderTraverse(BitTree T)//先序访问
{
if(!T) return ERROR;
else if (T)
{
cout<<T->data<<" ";
PreOrderTraverse(T->lchild);
PreOrderTraverse(T->rchild);
}
return OK;
}
stas InOrderTraverse(BitTree T)//中序
{
if(!T) return ERROR;
else if (T)
{
InOrderTraverse(T->lchild);
cout<<T->data<<" ";
InOrderTraverse(T->rchild);
}
return OK;
}
stas PostOrderTraverse(BitTree T)//后序
{
if(!T) return ERROR;
else if (T)
{
PostOrderTraverse(T->lchild);
PostOrderTraverse(T->rchild);
cout<<T->data<<" ";
}
return OK;
}
//栈实现二叉树的访问
stas PreOrderTraverse2(BitTree T)//先序
{
sqstack s;
BitTree p;
initstackC(s);
p=T;
//pushC(s,p);
while (p||!stackempty(s))
{
//popC(s,p);
if (p)
{
pushC(s,p);
if(!p->data)return ERROR;
cout<<p->data<<" ";
//p1=p;
p=p->lchild;
if (p==NULL)
{
popC(s,p);
p=p->rchild;
}
else
pushC(s,p);
}
else {
popC(s,p);
popC(s,p);
p=p->rchild;
if (p==NULL)
{
popC(s,p);
if (p==NULL)
{
return OK;
}
else
{
p=p->rchild;
}
}
else{
pushC(s,p);
if(!p->data)return ERROR;
cout<<p->data<<" ";
p=p->lchild;//左空不压栈
if (p==NULL)
{
popC(s,p);
p=p->rchild;
}
else
pushC(s,p);
}
}
}
destroyC(s);
return OK;
}
stas InOrderTraverse2(BitTree T)//中序
{
sqstack s;
BitTree p;
initstackC(s);
p=T;
while (p||!stackempty(s))
{
if (p)
{
pushC(s,p);
p=p->lchild;
}
else {
popC(s,p);
if(!p->data)return ERROR;
cout<<p->data<<" ";
p=p->rchild;
}
}
destroyC(s);
return OK;
}
stas PostOrderTraverse2(BitTree T)//后序
{
sqstack s;
BitTree p;
initstackC(s);
p=T;
while (p||!stackempty(s))
{
if (p)
{
pushC(s,p);
p=p->lchild;
if (p==NULL)
{
popC(s,p);
//p=p->rchild;
if (p->rchild==NULL)
{
if(!p->data)return ERROR;
cout<<p->data<<" ";
//p=p->rchild;
popC(s,p);
if (p==NULL)
{
return OK;
}
else
{
//pushC(s,p);//???右结点重复压栈？？？
//p1=p;
p=p->rchild;
//p->rchild=NULL;
}
}
else
{
p=p->rchild;
}
}
else
continue ;
}
else
{
//popC(s,p);
if(!p->data)return ERROR;
cout<<p->data<<" ";
popC(s,p);
if (p==NULL)
{
return OK;
}
else
{
//pushC(s,p);
//p1=p;
p=p->rchild;
//p->rchild=NULL;
}
}
}
destroyC(s);
return OK;
}
//二叉树的应用
//二叉树的深度
stas Depth(BitTree T)
{
int depthval,depthLeft,depthRight;
if (!T) depthval=0;
else{
depthLeft=Depth(T->lchild);
depthRight=Depth(T->rchild);
depthval=1+(depthLeft>depthRight?depthLeft:depthRight);
}
return depthval;
}
//二叉树的单分支结点数
stas Single(BitTree T)
{
if (T==NULL) return 0; //空树
else if (T->lchild==NULL && T->rchild==NULL) return 0; //叶子结点
else{
if (!T->lchild && T->rchild) return Single(T->rchild)+1;//只有左单分支
if (T->lchild && !T->rchild) return Single(T->lchild)+1;//只有右单分支
if(T->lchild && T->rchild) return Single(T->lchild)+Single(T->rchild);//双分支结点
}
}
//二叉树的多分支结点数
stas Double(BitTree T)
{
if (T==NULL) return 0; //空树
else if (T->lchild==NULL && T->rchild==NULL) return 0; //叶子结点
else{
if (!T->lchild && T->rchild) return Double(T->rchild);//只有左单分支
if (T->lchild && !T->rchild) return Double(T->lchild);//只有右单分支
if(T->lchild && T->rchild) return Double(T->lchild)+Double(T->rchild)+1;//双分支结点
}
}
//叶子结点
stas CountLeaf(BitTree T)
{
int num,num1,num2;
if(T==NULL) num=0;
else if(T->lchild==NULL&&T->rchild==NULL)
num=1;
else
{
num1=CountLeaf(T->lchild);
num2=CountLeaf(T->rchild);
num=num1+num2;
}
return num;
}
//交换左右子树
void Change_Left_Right(BitTree T)
{
BitTree Temp;
if (T)
{
Change_Left_Right(T->lchild);
Change_Left_Right(T->rchild);
Temp=T->lchild;
T->lchild=T->rchild;
T->rchild=Temp;
}
}
//二叉层次遍历用到队列
stas InitQueue(LinkQueue &Q)
{
Q.front=Q.rear=(QueuePtr)malloc(100*sizeof(qnode));
if(!Q.front) exit(OVERFLOW);
Q.front->next=NULL;
return OK;
}
stas DestroyQueue(LinkQueue &Q)
{
while (Q.front)
{
Q.rear=Q.front->next;
free(Q.front);
Q.front=Q.rear;
}
return OK;
}
stas EnterQueue(LinkQueue &Q,Qelemtype e)
{
QueuePtr p;
p=(QueuePtr)malloc(sizeof(qnode));
if(!p) return ERROR;
p->data=e;
p->next=NULL;
Q.rear->next=p;
Q.rear=p;
return OK;
}
stas DeQueue(LinkQueue &Q,Qelemtype &e)
{ QueuePtr p;
if(Q.front==Q.rear) return ERROR;
p=Q.front->next;e=p->data;
Q.front->next=p->next;
if(Q.rear==p)Q.rear=Q.front;
free(p);
return OK;
}
//二叉层次遍历
stas LevelOrder(BitTree T)
{
LinkQueue Q;
BitTree B;
InitQueue(Q);
if (T!=NULL)
{
EnterQueue(Q,T);
while (!(Q.front==Q.rear))
{
DeQueue(Q,B);
cout<<B->data<<" ";
if(B->lchild!=NULL) EnterQueue(Q,B->lchild);
if(B->rchild!=NULL) EnterQueue(Q,B->rchild);
}
}
return OK;
}
//二叉排序树
void insert(BitTree &T,ElemType x)
{
if (T==NULL)
{
T=(BitTree)malloc(sizeof(BitNode));
T->data=x;
T->lchild=T->rchild=NULL;
}
else
{
if(x<T->data)insert(T->lchild,x);
if(x>=T->data)insert(T->rchild,x);
}
}
void CreateBiTree2(BitTree &root)
{
ElemType x;
root=NULL;
cout<<"二叉排序树的创建<以'#'结束!!!>"<<endl;
cout<<"<请输入字母，没写整型!!!>"<<endl;
cin>>x;
while (x!='#')
{
insert(root,x);
cin>>x;
}
}
///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
//主函数 main.cpp
#include "bittree.h"
void main()
{
system("cls");
system("color f0");
BitTree T;
Create:
cout<<'\t'<<'\t'<<"先序创建二叉树<以'#'表示左右孩子为空!!!>："<<endl;
CreateBitTree(T);
BitTree T1(T);
select:
cout<<'\t'<<'\t'<<"----------------MAIN-MENU----------------"<<endl;
cout<<'\t'<<'\t'<<"&1、先序输出 2、中序输出 3、后序输出 &"<<endl;
cout<<'\t'<<'\t'<<"&4、栈实现输出 5、重新创建二叉树 0、退出&"<<endl;
cout<<'\t'<<'\t'<<"------------6、二叉树的应用-------------"<<endl;
char sel;
getchar();
cin>>sel;
switch (sel)//总
{
case '0':
break;
case '1':cout<<endl<<"---------------------------------"<<endl;
PreOrderTraverse(T);
cout<<endl<<"---------------------------------"<<endl;
goto select;
case '2':cout<<endl<<"---------------------------------"<<endl;
InOrderTraverse(T);
cout<<endl<<"---------------------------------"<<endl;
goto select;
case '3':cout<<endl<<"---------------------------------"<<endl;
PostOrderTraverse(T);
cout<<endl<<"---------------------------------"<<endl;
goto select;
case '4':
stackcout:
cout<<endl<<'\t'<<" -------------------SUB-MENU1---------------------"<<endl;
cout<<'\t'<<" &1、先序输出 2、中序输出 3、后序输出 4、返回 &"<<endl;
cout<<'\t'<<" ------------------------------------------------"<<endl;
cin>>sel;
switch (sel)//栈关于树的输出
{
case '1':cout<<endl<<"---------------------------------"<<endl;
PreOrderTraverse2(T1);//p->lchild==null,时 T 的值被修改！！！！！！！！
cout<<endl<<"---------------------------------"<<endl;
goto stackcout;
case '2':cout<<endl<<"---------------------------------"<<endl;
InOrderTraverse2(T);
cout<<endl<<"---------------------------------"<<endl;
goto stackcout;
case '3':cout<<endl<<"---------------------------------"<<endl;
PostOrderTraverse(T1);//栈实现未写完
cout<<endl<<"---------------------------------"<<endl;
goto stackcout;
case '4':goto select;
default:cout<<"选择错误!!!"<<endl;
goto stackcout;
}
case '5':
goto Create;
case '6':
{
SUB_MENU2:
cout<<'\t'<<'\t'<<"-------------------------SUB-MENU2---------------------"<<endl;
cout<<'\t'<<'\t'<<"&1、二叉树的深度 2、二叉树的单分支结点数 &"<<endl;
cout<<'\t'<<'\t'<<"&3、二叉树的多分支结点数 4、二叉树的叶子结点数 &"<<endl;
cout<<'\t'<<'\t'<<"&5、二叉层次遍历 6、二叉排序树 7、交换左右子树 &"<<endl;
cout<<'\t'<<'\t'<<"&------------------8、输出 0、返回--------------------&"<<endl;
cin>>sel;
switch (sel)//二叉树的应用
{
case '0':
goto select;
case '1':
{
int deepth=0;
deepth=Depth(T);
cout<<endl<<"---------------------------------"<<endl;
cout<<"树的深度为："<<deepth<<endl;
cout<<endl<<"---------------------------------"<<endl;
}
goto SUB_MENU2;
case '2':
{
int cou_sig;
cou_sig=Single(T);
cout<<endl<<"---------------------------------"<<endl;
cout<<"此树的单分支结点为数："<<cou_sig<<endl;
cout<<endl<<"---------------------------------"<<endl;
}
goto SUB_MENU2;
case '3':
{
int cou_dou;
cou_dou=Double(T);
cout<<endl<<"---------------------------------"<<endl;
cout<<"此树的双分支结点数为："<<cou_dou<<endl;
cout<<endl<<"---------------------------------"<<endl;
}
goto SUB_MENU2;
case '4':
{
int cou_leaf;
cou_leaf=CountLeaf(T);
cout<<endl<<"---------------------------------"<<endl;
cout<<"此树的叶子结点数为："<<cou_leaf<<endl;
cout<<endl<<"---------------------------------"<<endl;
}
goto SUB_MENU2;
case '5':
{
cout<<"二叉层次遍历的结果为："<<endl;
cout<<endl<<"---------------------------------"<<endl;
LevelOrder(T);
cout<<endl<<"---------------------------------"<<endl;
}
goto SUB_MENU2;
case '6':
{
BitTree T3;
CreateBiTree2(T3);
SUB3:
cout<<'\t'<<"-------------------------SUB-MENU2-------------------"<<endl;
cout<<'\t'<<" &1、先序输出 2、中序输出 3、后序输出 0、返回 &"<<endl;
cout<<'\t'<<"-----------------------------------------------------"<<endl;
cin>>sel;
switch (sel)//二叉树的层次遍历
{
case '0':
break;
case '1':cout<<endl<<"---------------------------------"<<endl;
PreOrderTraverse(T3);
cout<<endl<<"---------------------------------"<<endl;
goto SUB3;
case '2':cout<<endl<<"---------------------------------"<<endl;
InOrderTraverse(T3);
cout<<endl<<"---------------------------------"<<endl;
goto SUB3;
case '3':cout<<endl<<"---------------------------------"<<endl;
PostOrderTraverse(T3);
cout<<endl<<"---------------------------------"<<endl;
goto SUB3;
default:
cout<<"选择错误!!!"<<endl;
goto SUB3;
}
}
goto SUB_MENU2;
case '7':
{
Change_Left_Right(T);
cout<<endl<<"---------------------------------"<<endl;
cout<<"交换完成，请选择8输出查看!!!"<<endl;
cout<<endl<<"---------------------------------"<<endl;
}
goto SUB_MENU2;
case '8':
goto select;
default:
cout<<"选择错误!!!"<<endl;
goto SUB_MENU2;
}
}
break;
default :
cout<<endl<<"选择错误!!!"<<endl;
goto select;
}
}