数据结构.二叉树的基本操作(C语言实现)

#include"bintree.h"
#include<malloc.h>
#include<stdlib.h>

void print(Item item)
{
 printf("%d ",item);
}

BiTree InitBiTree(BiTNode *root)
{
     BiTree tree = root;
     return tree;
}

BiTNode *MakeNode(Item item,BiTNode *lchild,BiTNode *rchild)
{
 BiTNode * pnode = (BiTNode *)malloc(sizeof(BiTNode));
 if(pnode)
 {
  pnode->data = item;
  pnode->lchild = lchild;
  pnode->rchild = rchild;
 }
 return pnode; 
}


void FreeNode(BiTNode *pnode)
{
 if(pnode!=NULL)
  free(pnode);
}

void ClearBiTree(BiTree tree)
{
 BiTNode * pnode = tree;
 if(pnode->lchild!=NULL)
  ClearBiTree(pnode->lchild);

 if(pnode->rchild!=NULL)
  ClearBiTree(pnode->rchild);

 FreeNode(pnode);
}

void DestroyBiTree(BiTree tree)
{
 if(tree)
  ClearBiTree(tree); 
}


int IsEmpty(BiTree tree)
{
 if(tree==NULL)
  return 0;
 else
  return 1;
}

int GetDepth(BiTree tree)
{
 int cd,ld,rd;
 cd = ld = rd = 0;
 if(tree)
 {
  ld = GetDepth(tree->lchild);
  rd = GetDepth(tree->rchild);
  cd = (ld > rd ? ld : rd);
  return cd+1;
 }
 else
  return 0;
}

BiTree GetRoot(BiTree tree)
{
 return tree;
}

Item GetItem(BiTNode *pnode)
{
 return pnode->data;
}

void SetItem(BiTNode *pnode,Item item)
{
 pnode->data = item;
}

BiTree SetLChild(BiTree parent,BiTree lchild)
{
 parent->lchild = lchild;
 return lchild;
}

BiTree SetRChild(BiTree parent,BiTree rchild)
{
 parent->rchild = rchild;
 return rchild;
}

BiTree GetLChild(BiTree tree)
{
 if(tree)
  return tree->lchild;
 return NULL;
}

BiTree GetRChild(BiTree tree)
{
 if(tree)
  return tree->rchild;
 return NULL;
}

BiTree InsertChild(BiTree parent,int lr,BiTree child)
{
 if(parent)
 {
  if( lr == 0 && parent->lchild == NULL)
  {
   parent->lchild = child;
   return child;
  } 
  if( lr == 1 && parent->rchild == NULL)
  {
   parent->rchild = child;
   return child;
  } 
 }
 return NULL; 
}

void DeleteChild(BiTree parent,int lr)
{
 if(parent)
 {
  if( lr == 0 && parent->lchild != NULL)
  {
   parent->lchild = NULL;
   FreeNode(parent->lchild);
  } 
  if( lr == 1 && parent->rchild != NULL)
  {
   parent->rchild = NULL;
   FreeNode(parent->rchild);
  } 
 }
}

void PreOrderTraverse(BiTree tree,void(*visit)())
{
 BiTNode * pnode = tree;
 if(pnode)
 {
  visit(pnode->data);
  PreOrderTraverse(pnode->lchild,visit);
  PreOrderTraverse(pnode->rchild,visit);
 }
}

void InOrderTraverse(BiTree tree,void(*visit)())
{
 BiTNode * pnode = tree;
 if(pnode)
 {
  InOrderTraverse(pnode->lchild,visit);
  visit(pnode->data);
  InOrderTraverse(pnode->rchild,visit);
 }
}

void PostOrderTraverse(BiTree tree,void(*visit)())
{
 BiTNode * pnode = tree;
 if(pnode)
 {
  PostOrderTraverse(pnode->lchild,visit);  
  PostOrderTraverse(pnode->rchild,visit);
  visit(pnode->data);
 }
}

//交换左右子数节点
void exange(BiTree root)
{
 BiTree p;
 if (root)
 {
  exange(root->lchild);
  exange(root->rchild);
  p = root->lchild;
  root->lchild = root->rchild;
  root->rchild = p;
 }
}

//二叉树深度
int depthpreorder(BiTree root)
{
 int lh,rh;
  int max; 
 if (NULL != root)
 {
  lh = depthpreorder(root->lchild);
  rh = depthpreorder(root->rchild);
  max = (lh > rh) ? lh : rh;
  return 1 + max;
 }
 else
  return 0;
}

//求二叉树宽度,结合width函数,n值由主程序设为1。
int levelcount(BiTree t, int a[], int h)
{
 if (t != NULL)
 {
  a[h] = a[h] + 1;
  levelcount(t->lchild, a, h+1);
  levelcount(t->rchild, a, h+1);
 }
}

//求二叉树宽度,结合levelcount函数

int width(BiTree t)
{
  int a[16],i,wid;
  for (i = 0; i < 16; i++)
   a[i] = 0;
  levelcount(t,a,1);
  wid = a[0];
  
  for (i = 1; i < 16; i++)
   if(a[i]>wid)
    wid = a[i];
   return wid;
}

//统计叶子节点总数
int sum_leaves(BiTree t)
{
 if(t == NULL)
  return 0;
 if (t->lchild == NULL && t->rchild == NULL)
  return 1;
 return sum_leaves(t->lchild)+sum_leaves(t->rchild);
}
//打印叶子节点
void print_leaves(BiTree t)
{
 if (t != NULL)
 {
  if(t->rchild == NULL && t->lchild == NULL)
   printf("current leaf :  %d\n",t->data);
  print_leaves(t->lchild);
  print_leaves(t->rchild);
 }
}

main()

 int depth = 0;
 int wid = 0;
 int leaves = 0;
 int *max = NULL;
 BiTNode * n1 = MakeNode(10,NULL,NULL);
 BiTNode * n2 = MakeNode(20,NULL,NULL);
 BiTNode * n3 = MakeNode(30,n1,n2);
 BiTNode * n4 = MakeNode(40,NULL,NULL);
 BiTNode * n5 = MakeNode(50,NULL,NULL);
 BiTNode * n6 = MakeNode(60,n4,n5);
 BiTNode * n7 = MakeNode(70,NULL,NULL);
 BiTNode * n8 = MakeNode(80,NULL,NULL);

 BiTNode * n9 = MakeNode(19,NULL,NULL);
 BiTNode * n10 = MakeNode(20,NULL,NULL);
 BiTNode * n11 = MakeNode(11,NULL,NULL);
 BiTNode * n12 = MakeNode(12,NULL,NULL);
 BiTNode * n13 = MakeNode(13,NULL,NULL);
 
 BiTree tree = InitBiTree(n7);
 SetLChild(tree,n3);
 SetRChild(tree,n6);
 SetLChild(n4,n8);
 SetRChild(n4,n9);
 SetLChild(n5,n10);
 SetRChild(n5,n11);
 SetLChild(n2,n12);
 SetRChild(n2,n13);
 //printf("tree depth : %d",GetDepth(tree));
 
 printf("\npreorder : ");
 PreOrderTraverse(tree,print);
 printf("\nafter exange :\n");
 exange(tree);
 PreOrderTraverse(tree,print);
 depth = depthpreorder(tree);
 printf("\ndepth : %d\n",depth);
 
 wid = width(tree);
 printf("width : %d\n",wid);
 
 leaves = sum_leaves(tree);
 printf("leaves : %d\n",leaves);
 
 print_leaves(tree);
 maxvalue(tree, &max);
 printf("max value : %d\n",*max);

 //printf("\nInorder : ");
 //InOrderTraverse(tree,print);

 //printf("\npostorder : ");
 //PostOrderTraverse(tree,print);

 //DeleteChild(tree,1);
 //printf("\npostorder : ");
 //PostOrderTraverse(tree,print);

 //DestroyBiTree(tree);
 //if(IsEmpty(tree))
  //printf("\nbinary tree is null, Destory done\n");
}
 

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