#ifndef BinarySearchTree_H
#define BinarySearchTree_H
#include <stack>
using namespace std;
template<typename T>
class TreeNode
{
public:
T value; // value contained in the node
TreeNode<T> * parent; // Pointer to the parent
TreeNode<T> * left; // Pointer to the left child
TreeNode<T> * right; // Pointer to the right child
TreeNode() // No-arg constructor
{
left = NULL;
right = NULL;
parent = NULL;
}
TreeNode(T value) // Constructor
{
this->value = value;
left = NULL;
right = NULL;
parent = NULL;
}
};
template < typename T >
class BinarySearchTree
{
public:
int treeSize;
BinarySearchTree();
BinarySearchTree(T values[],int arraySize);
int insert(T value);
void inOrder();
void inOrderNorRec();
int deleteNode(T value);
int successor(T value);
int predecessor(T value);
void maxValue();
void minValue();
int getSize(T value);
void output();
private:
TreeNode<T> * treeroot;
void inOrder(TreeNode<T> *target);
void inOrderNorRec(TreeNode<T> *target);
TreeNode<T> * search(T searchvalue);
int deleteNode(TreeNode<T> *delNode);
TreeNode<T> * successor(TreeNode<T> *target);
TreeNode<T> * predecessor(TreeNode<T> *target);
TreeNode<T> * maxValue(TreeNode<T> *target);
TreeNode<T> * minValue(TreeNode<T> *target);
int getSize(TreeNode<T> *target);
void output(TreeNode<T> *target,int totalSpaces);
};
template < typename T >
BinarySearchTree<T>::BinarySearchTree()
{
treeroot = NULL;
treeSize = 0;
}
template < typename T >
BinarySearchTree<T>::BinarySearchTree(T values[],int arraySize)
{
treeroot = NULL;
treeSize = 0;
for(int i=0 ; i<arraySize ; i++){
this->insert(values[i]);
}
}
template <typename T>
int BinarySearchTree<T>::insert(T value)
{
if (treeroot == NULL){
treeroot = new TreeNode<T>(value);
}
else
{
TreeNode<T> *former = NULL;
TreeNode<T> *current = treeroot;
while (current != NULL){
if (value < current->value){
former = current;
current = current->left;
}
else if (value > current->value){
former = current;
current = current->right;
}
else{
cout << "Node with value "<< value <<" has existed." <<endl;
return 1;
}
}
if (value < former->value){
TreeNode<T> *newNode=new TreeNode<T>(value);
former->left = newNode;
newNode->parent = former;
}
else if(value > former->value){
TreeNode<T> *newNode=new TreeNode<T>(value);
former->right = newNode;
newNode->parent = former;
}
}
treeSize++;
return 0;
}
template <typename T>
TreeNode<T> * BinarySearchTree<T>::search(T searchvalue)
{
TreeNode<T> *current = treeroot;
int find =0;
while (current != NULL && find == 0){
if (current->value == searchvalue){
find = 1;
}
else if(current->value > searchvalue){
current = current->left;
}else{
current = current->right;
}
}
if (find == 1){
return current;
}else{
return NULL;
}
}
template <typename T>
int BinarySearchTree<T>::deleteNode(T value){
TreeNode<T> *delNode = this->search(value);
if ( delNode == NULL){
cout << "not find " << endl;
return 1;
}
this->deleteNode(delNode);
cout << "Node "<< value <<" has been deleted."<< endl;
return 0;
}
template <typename T>
int BinarySearchTree<T>::deleteNode(TreeNode<T> *delNode){
TreeNode<T> *deleteTarget;
if (delNode->left == NULL && delNode->right == NULL){
deleteTarget = delNode;
}else if(delNode->left !=NULL){
deleteTarget = this->predecessor(delNode);
}else if(delNode->right !=NULL){
deleteTarget = this->successor(delNode);
}
TreeNode<T> *deleteTargetChild = NULL;
if (deleteTarget->left != NULL){
deleteTargetChild = deleteTarget->left;
}else if (deleteTarget->right != NULL){
deleteTargetChild = deleteTarget->right;
}
if (deleteTargetChild != NULL){
deleteTargetChild->parent = deleteTarget->parent;
}
if (deleteTarget->parent == NULL){
treeroot = deleteTargetChild;
deleteTargetChild->parent = NULL;
}else if ( deleteTarget->parent->left == deleteTarget){
deleteTarget->parent->left = deleteTargetChild;
}else{
deleteTarget->parent->right = deleteTargetChild;
}
if (deleteTarget != delNode){
delNode->value = deleteTarget->value;
}
treeSize--;
return 0;
}
template <typename T>
int BinarySearchTree<T>::successor(T value)
{
TreeNode<T> *position = this->search(value);
if ( position == NULL){
cout << "not find " << endl;
return 1;
}
TreeNode<T> *successorNode = this->successor(position);
if ( successorNode != NULL)
cout << value << " \'s successor is:" << successorNode->value << endl;
else
cout << value << " has no successor" << endl;
return 0;
}
template <typename T>
TreeNode<T> * BinarySearchTree<T>::successor(TreeNode<T> *target)
{
if ( target->right != NULL){
return minValue(target->right);
}
TreeNode<T> * parentNode =target->parent;
while ( parentNode != NULL && parentNode->right == target){
target = parentNode;
parentNode = parentNode->parent;
}
return parentNode;
}
template <typename T>
int BinarySearchTree<T>::predecessor(T value)
{
TreeNode<T> *position = this->search(value);
if ( position == NULL){
cout << "not find " << endl;
return 1;
}
TreeNode<T> *predecessorNode = this->predecessor(position);
if ( predecessorNode != NULL)
cout << value << " \'s predecessor is:" << predecessorNode->value << endl;
else
cout << value << " has no predecessor" << endl;
return 0;
}
template <typename T>
TreeNode<T> * BinarySearchTree<T>::predecessor(TreeNode<T> *target)
{
if ( target->left != NULL){
return maxValue(target->left);
}
TreeNode<T> * parentNode =target->parent;
while ( parentNode != NULL && parentNode->left == target){
target = parentNode;
parentNode = parentNode->parent;
}
return parentNode;
}
template <typename T>
void BinarySearchTree<T>::maxValue()
{
TreeNode<T> * max = this->maxValue(treeroot);
cout << "Max Value is :" << max->value << endl;
}
template <typename T>
TreeNode<T> * BinarySearchTree<T>::maxValue(TreeNode<T> *target)
{
while (target -> right != NULL){
target = target -> right;
}
return target;
}
template <typename T>
void BinarySearchTree<T>::minValue()
{
TreeNode<T> * min = this->minValue(treeroot);
cout << "Min Value is :" << min->value << endl;
}
template <typename T>
TreeNode<T> * BinarySearchTree<T>::minValue(TreeNode<T> *target)
{
while (target -> left != NULL){
target = target -> left;
}
return target;
}
template <typename T>
int BinarySearchTree<T>::getSize(T value)
{
TreeNode<T> *target = this->search(value);
return getSize(target);
}
template <typename T>
int BinarySearchTree<T>::getSize(TreeNode<T> *target)
{
if (target == NULL){
return 0;
}
if (target->left == NULL && target->left == NULL){
return 1;
}else {
return this->getSize(target->left) + 1 + this->getSize(target->right);
}
}
template <typename T>
void BinarySearchTree<T>::inOrder()
{
inOrder(treeroot);
}
template <typename T>
void BinarySearchTree<T>::inOrder(TreeNode<T> *target)
{
if (target == NULL)
return ;
inOrder(target->left);
cout << target->value << " ";
inOrder(target->right);
}
template <typename T>
void BinarySearchTree<T>::inOrderNorRec()
{
inOrderNorRec(treeroot);
}
template <typename T>
void BinarySearchTree<T>::inOrderNorRec(TreeNode<T> *target)
{
stack < TreeNode<T> *> s;
while ((target != NULL) || !s.empty())
{
if (target != NULL)
{
s.push(target);
target = target->left;
}
else
{
target = s.top();
cout << target->value << " ";
s.pop();
target = target->right;
}
}
}
template <typename T>
void BinarySearchTree<T>::output()
{
output(treeroot,0);
}
template <typename T>
void BinarySearchTree<T>::output(TreeNode<T> *target,int totalSpaces)
{
if(target != NULL)
{
output(target->right,totalSpaces+4);
for(int i=0;i<totalSpaces;i++){
cout<<' ';
}
if (target->parent != NULL){
cout << target->value << "[" << target->parent->value << "]" << endl;
}
else{
cout << target->value << "[ROOT]" << endl;
}
output(target->left,totalSpaces+4);
}
};
#endif
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