二叉树
2012-04-08 21:42 Rollen Holt 阅读(875) 评论(0) 编辑 收藏 举报今晚闲来无事,练练基本的数据结构吧
BinTreeNode.h
template<typename Type> class BinaryTree; template<typename Type> class BinTreeNode{ public: friend class BinaryTree<Type>; BinTreeNode():m_pleft(NULL),m_pright(NULL){} BinTreeNode(Type item,BinTreeNode<Type> *left=NULL,BinTreeNode<Type> *right=NULL) :m_data(item),m_pleft(left),m_pright(right){} Type GetData() const; //get thd data BinTreeNode<Type> *GetLeft() const; //get the left node BinTreeNode<Type> *GetRight() const; //get the right node void SetData(const Type data); //change the data void SetLeft(const BinTreeNode<Type> *left); //change thd left node void SetRight(const BinTreeNode<Type> *right); //change the right node void InOrder(); //inorder the tree with the root of the node void PreOrder(); //perorder the tree with the root of the node void PostOrder(); //postoder the tree with the root of the node int Size(); //get size int Height(); //get height BinTreeNode<Type> *Copy(const BinTreeNode<Type> *copy); //copy the node void Destroy(){ //destroy the tree with the root of the node if(this!=NULL){ this->m_pleft->Destroy(); this->m_pright->Destroy(); delete this; } } friend bool equal<Type>(const BinTreeNode<Type> *s,const BinTreeNode<Type> *t); //is equal? private: BinTreeNode<Type> *m_pleft,*m_pright; Type m_data; }; template<typename Type> Type BinTreeNode<Type>::GetData() const{ return this!=NULL?m_data:-1; } template<typename Type> BinTreeNode<Type>* BinTreeNode<Type>::GetLeft() const{ return this!=NULL?m_pleft:NULL; } template<typename Type> BinTreeNode<Type>* BinTreeNode<Type>::GetRight() const{ return this!=NULL?m_pright:NULL; } template<typename Type> void BinTreeNode<Type>::SetData(const Type data){ if(this!=NULL){ m_data=data; } } template<typename Type> void BinTreeNode<Type>::SetLeft(const BinTreeNode<Type> *left){ if(this!=NULL){ m_pleft=left; } } template<typename Type> void BinTreeNode<Type>::SetRight(const BinTreeNode<Type> *right){ if(this!=NULL){ m_pright=right; } } template<typename Type> BinTreeNode<Type>* BinTreeNode<Type>::Copy(const BinTreeNode<Type> *copy){ if(copy==NULL){ return NULL; } BinTreeNode<Type> *temp=new BinTreeNode<Type>(copy->m_data); temp->m_pleft=Copy(copy->m_pleft); temp->m_pright=Copy(copy->m_pright); return temp; } template<typename Type> bool equal(const BinTreeNode<Type> *s,const BinTreeNode<Type> *t){ if(s==NULL&&t==NULL){ return 1; } if(s&&t&&s->m_data==t->m_data&&equal(s->m_pleft,t->m_pleft)&&equal(s->m_pright,t->m_pright)){ return 1; } return 0; } template<typename Type> void BinTreeNode<Type>::InOrder(){ if(this!=NULL){ this->m_pleft->InOrder(); cout<<"--->"<<this->m_data; this->m_pright->InOrder(); } } template<typename Type> void BinTreeNode<Type>::PreOrder(){ if(this!=NULL){ cout<<"--->"<<this->m_data; this->m_pleft->PreOrder(); this->m_pright->PreOrder(); } } template<typename Type> void BinTreeNode<Type>::PostOrder(){ if(this!=NULL){ this->m_pleft->PostOrder(); this->m_pright->PostOrder(); cout<<"--->"<<this->m_data; } } template<typename Type> int BinTreeNode<Type>::Size(){ if(this==NULL){ return 0; } return 1+this->m_pleft->Size()+this->m_pright->Size(); } template<typename Type> int BinTreeNode<Type>::Height(){ if(this==NULL){ return -1; } int lheight,rheight; lheight=this->m_pleft->Height(); rheight=this->m_pright->Height(); return 1+(lheight>rheight?lheight:rheight); }
#include "BinTreeNode.h" template<typename Type> class BinaryTree{ public: BinaryTree():m_proot(NULL){} BinaryTree(const Type stop):m_stop(stop),m_proot(NULL){} BinaryTree(BinaryTree<Type>& copy); virtual ~BinaryTree(){ m_proot->Destroy(); } virtual bool IsEmpty(){ //is empty? return m_proot==NULL; } virtual BinTreeNode<Type> *GetLeft(BinTreeNode<Type> *current); //get the left node virtual BinTreeNode<Type> *GetRight(BinTreeNode<Type> *current);//get the right node virtual BinTreeNode<Type> *GetParent(BinTreeNode<Type> *current);//ghe thd parent const BinTreeNode<Type> *GetRoot() const; //get root virtual bool Insert(const Type item); //insert a new node virtual BinTreeNode<Type> *Find(const Type item) const; //find thd node with the data void InOrder(); void PreOrder(); void PostOrder(); int Size(); //get size int Height(); //get height BinaryTree<Type>& operator=(const BinaryTree<Type> copy); //evaluate node friend bool operator== <Type>(const BinaryTree<Type> s,const BinaryTree<Type> t);//is equal? friend ostream& operator<< <Type>(ostream& ,BinaryTree<Type>&); //output the data friend istream& operator>> <Type>(istream& ,BinaryTree<Type>&); //input the data private: Type m_stop; //just using for input the data; BinTreeNode<Type> *m_proot; //find the parent of current in the tree with the root of start BinTreeNode<Type> *GetParent(BinTreeNode<Type> *start,BinTreeNode<Type> *current); void Print(BinTreeNode<Type> *start,int n=0); //print the tree with the root of start }; template<typename Type> BinaryTree<Type>::BinaryTree(BinaryTree<Type>& copy){ if(copy.m_proot){ this->m_stop=copy.m_stop; } m_proot=m_proot->Copy(copy.m_proot); } template<typename Type> BinTreeNode<Type>* BinaryTree<Type>::GetLeft(BinTreeNode<Type> *current){ return m_proot&¤t?current->m_pleft:NULL; } template<typename Type> BinTreeNode<Type>* BinaryTree<Type>::GetRight(BinTreeNode<Type> *current){ return m_proot&¤t?current->m_pright:NULL; } template<typename Type> const BinTreeNode<Type>* BinaryTree<Type>::GetRoot() const{ return m_proot; } template<typename Type> BinTreeNode<Type>* BinaryTree<Type>::GetParent(BinTreeNode<Type> *start, BinTreeNode<Type> *current){ if(start==NULL||current==NULL){ return NULL; } if(start->m_pleft==current||start->m_pright==current){ return start; } BinTreeNode<Type> *pmove; if((pmove=GetParent(start->m_pleft,current))!=NULL){//find the parent in the left subtree return pmove; } else{ return GetParent(start->m_pright,current); //find the parent in the right subtree } } template<typename Type> BinTreeNode<Type>* BinaryTree<Type>::GetParent(BinTreeNode<Type> *current){ return m_proot==NULL||current==m_proot?NULL:GetParent(m_proot,current); } template<typename Type> bool BinaryTree<Type>::Insert(const Type item){ BinTreeNode<Type> *pstart=m_proot,*newnode=new BinTreeNode<Type>(item); if(m_proot==NULL){ m_proot=newnode; return 1; } while(1){ if(item==pstart->m_data){ cout<<"The item "<<item<<" is exist!"<<endl; return 0; } if(item<pstart->m_data){ if(pstart->m_pleft==NULL){ pstart->m_pleft=newnode; return 1; } pstart=pstart->m_pleft; //if less than the node then insert to the left subtree } else{ if(pstart->m_pright==NULL){ pstart->m_pright=newnode; return 1; } pstart=pstart->m_pright;//if more than the node then insert to the right subtree } } } template<typename Type> BinTreeNode<Type>* BinaryTree<Type>::Find(const Type item) const{ BinTreeNode<Type> *pstart=m_proot; while(pstart){ if(item==pstart->m_data){ return pstart; } if(item<pstart->m_data){ pstart=pstart->m_pleft; //if less than the node then find in the left subtree } else{ pstart=pstart->m_pright;//if more than the node then find in the right subtree } } return NULL; } template<typename Type> void BinaryTree<Type>::Print(BinTreeNode<Type> *start, int n){ if(start==NULL){ for(int i=0;i<n;i++){ cout<<" "; } cout<<"NULL"<<endl; return; } Print(start->m_pright,n+1); //print the right subtree for(int i=0;i<n;i++){ //print blanks with the height of the node cout<<" "; } if(n>=0){ cout<<start->m_data<<"--->"<<endl;//print the node } Print(start->m_pleft,n+1); //print the left subtree } template<typename Type> BinaryTree<Type>& BinaryTree<Type>::operator=(const BinaryTree<Type> copy){ if(copy.m_proot){ this->m_stop=copy.m_stop; } m_proot=m_proot->Copy(copy.m_proot); return *this; } template<typename Type> ostream& operator<<(ostream& os,BinaryTree<Type>& out){ out.Print(out.m_proot); return os; } template<typename Type> istream& operator>>(istream& is,BinaryTree<Type>& in){ Type item; cout<<"initialize the tree:"<<endl<<"Input data(end with "<<in.m_stop<<"!):"; is>>item; while(item!=in.m_stop){ //m_stop is the end of input in.Insert(item); is>>item; } return is; } template<typename Type> bool operator==(const BinaryTree<Type> s,const BinaryTree<Type> t){ return equal(s.m_proot,t.m_proot); } template<typename Type> void BinaryTree<Type>::InOrder(){ this->m_proot->InOrder(); } template<typename Type> void BinaryTree<Type>::PreOrder(){ this->m_proot->PreOrder(); } template<typename Type> void BinaryTree<Type>::PostOrder(){ this->m_proot->PostOrder(); } template<typename Type> int BinaryTree<Type>::Size(){ return this->m_proot->Size(); } template<typename Type> int BinaryTree<Type>::Height(){ return this->m_proot->Height(); }
Test.cpp
#include <iostream> using namespace std; #include "BinaryTree.h" int main(){ BinaryTree<int> tree(-1); // int init[10]={3,6,0,2,8,4,9,1,5,7}; int init[30]={17,6,22,29,14,0,21,13,27,18,2,28,8 ,26,3,12,20,4,9,23,15,1,11,5,19,24,16,7,10,25}; for(int i=0;i<30;i++){ tree.Insert(init[i]); } //cin>>tree; cout<<tree<<endl; cout<<tree.GetParent(tree.Find(20))->GetData()<<endl; cout<<tree.Find(15)->GetRight()->GetData()<<endl; cout<<"size="<<tree.Size()<<endl; cout<<"height="<<tree.Height()<<endl; tree.InOrder(); cout<<endl<<endl; tree.PreOrder(); cout<<endl<<endl; tree.PostOrder(); cout<<endl<<endl; BinaryTree<int> tree2=tree; cout<<tree2<<endl; cout<<tree2.GetParent(tree2.Find(20))->GetData()<<endl; cout<<tree2.Find(15)->GetRight()->GetData()<<endl; cout<<(tree==tree2)<<endl; return 0; }
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