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BinaryTree.h
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BinaryTree.h
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#pragma once
// Forward declarations
template <typename T> class BinaryNode;
template <typename T> class BinaryTree;
// class BinaryDirection
enum class BinaryDirection {
NONE,
LEFT,
RIGHT
};
// class BinaryNode
template <typename T> class BinaryNode {
// Friends
friend class BinaryTree<T>;
// Object
public:
// Properties
T data;
private:
// Properties
BinaryNode<T>* parentNode = nullptr;
BinaryNode<T>* leftNode = nullptr;
BinaryNode<T>* rightNode = nullptr;
BinaryTree<T>* tree = nullptr;
public:
// Constructor / Destructor
BinaryNode();
BinaryNode(const T& data);
~BinaryNode();
// Getters
BinaryNode<T>* getParentNode() const;
BinaryNode<T>* getLeftNode() const;
BinaryNode<T>* getRightNode() const;
BinaryTree<T>* getTree() const;
// Functions
BinaryNode<T>* getRootNode() const;
BinaryNode<T>* getLeftmostNode() const;
BinaryNode<T>* getRightmostNode() const;
BinaryNode<T>* get(const T& data) const;
bool has(const T& data) const;
BinaryDirection getDirection() const;
BinaryNode<T>* addParentNode(const T& data, BinaryDirection parentNodeDirection);
BinaryNode<T>* addLeftNode(const T& data);
BinaryNode<T>* addRightNode(const T& data);
BinaryNode<T>* add(const T& data);
BinaryNode<T>* add(const T& data, BinaryDirection directionIfEqual);
bool erase(const T& data);
void clearNodes();
};
// class BinaryTree
template <typename T> class BinaryTree {
// Friends
friend class BinaryNode<T>;
// Object
private:
// Properties
int size = 0;
BinaryNode<T>* rootNode = nullptr;
public:
// Constructor / Destructor
BinaryTree();
BinaryTree(const BinaryTree<T>& tree);
void operator = (const BinaryTree<T>& tree);
~BinaryTree();
// Getters
int getSize() const;
BinaryNode<T>* getRootNode() const;
// Functions
BinaryNode<T>* add(const T& data);
void clear();
};
// class BinaryNode
// Object | public
// Constructor / Destructor
template <typename T> BinaryNode<T>::BinaryNode() {
}
template <typename T> BinaryNode<T>::BinaryNode(const T& data) : data(data) {
}
template <typename T> BinaryNode<T>::~BinaryNode() {
clearNodes();
// Unlink this node from parent node
if (parentNode != nullptr) {
if (parentNode->leftNode == this)
parentNode->leftNode = nullptr;
else
parentNode->rightNode = nullptr;
}
if (tree != nullptr)
tree->size--;
}
// Getters
template <typename T> BinaryNode<T>* BinaryNode<T>::getParentNode() const {
return parentNode;
}
template <typename T> BinaryNode<T>* BinaryNode<T>::getLeftNode() const {
return leftNode;
}
template <typename T> BinaryNode<T>* BinaryNode<T>::getRightNode() const {
return rightNode;
}
template <typename T> BinaryTree<T>* BinaryNode<T>::getTree() const {
return tree;
}
// Functions
template <typename T> BinaryNode<T>* BinaryNode<T>::getRootNode() const {
if (parentNode == nullptr)
return nullptr;
BinaryNode<T>* currentNode = this;
while (currentNode->parentNode != nullptr)
currentNode = currentNode->parentNode;
return currentNode;
}
template <typename T> BinaryNode<T>* BinaryNode<T>::getLeftmostNode() const {
if (leftNode == nullptr)
return nullptr;
BinaryNode<T>* currentNode = leftNode;
while (currentNode->leftNode != nullptr)
currentNode = leftNode->leftNode;
return currentNode;
}
template <typename T> BinaryNode<T>* BinaryNode<T>::getRightmostNode() const {
if (rightNode == nullptr)
return nullptr;
BinaryNode<T>* currentNode = rightNode;
while (currentNode->rightNode != nullptr)
currentNode = rightNode->rightNode;
return currentNode;
}
template <typename T> BinaryNode<T>* BinaryNode<T>::get(const T& data) const {
BinaryNode<T>* currentNode = this;
while (currentNode != nullptr) {
// If current node's data is equal to data provided, return current node
if (currentNode->data == data)
return currentNode;
// Check left branch
if (currentNode->leftNode != nullptr) {
currentNode = currentNode->leftNode;
continue;
}
// Traverse tree up searching for right nodes
while (currentNode->parentNode != nullptr) {
currentNode = currentNode->parentNode;
if (currentNode->rightNode != nullptr) {
// Trigger nodes's left branch check
currentNode = currentNode->rightNode;
break;
}
}
}
return nullptr;
}
template <typename T> bool BinaryNode<T>::has(const T& data) const {
return get(data) == nullptr ? false : true;
}
template <typename T> BinaryDirection BinaryNode<T>::getDirection() const {
if (parentNode == nullptr)
return BinaryDirection::NONE;
if (parentNode->leftNode == this)
return BinaryDirection::LEFT;
else if (parentNode->rightNode == this)
return BinaryDirection::RIGHT;
return BinaryDirection::NONE;
}
template <typename T> BinaryNode<T>* BinaryNode<T>::addParentNode(const T& data, BinaryDirection parentNodeDirection) {
// If this node already has a parent node, return false
if (parentNode != nullptr)
return nullptr;
// Link new node to this
BinaryNode<T>* newNode = new BinaryNode<T>();
newNode->data = data;
if (parentNodeDirection == BinaryDirection::LEFT)
newNode->rightNode = this;
else
newNode->leftNode = this;
// Edit tree
if (tree != nullptr) {
newNode->tree = tree;
tree->size++;
tree->rootNode = this;
}
// Link this to new node
parentNode = newNode;
// Return true
return newNode;
}
template <typename T> BinaryNode<T>* BinaryNode<T>::addLeftNode(const T& data) {
// If this node already has a node to the left, return false
if (leftNode != nullptr)
return nullptr;
// Link new node to this
BinaryNode<T>* newNode = new BinaryNode<T>(data);
newNode->parentNode = this;
// Edit tree
if (tree != nullptr) {
newNode->tree = tree;
tree->size++;
}
// Link this to new node
leftNode = newNode;
// Return true
return newNode;
}
template <typename T> BinaryNode<T>* BinaryNode<T>::addRightNode(const T& data) {
// If this node already has a node to the right, return false
if (rightNode != nullptr)
return nullptr;
// Link new node to this
BinaryNode<T>* newNode = new BinaryNode<T>(data);
newNode->parentNode = this;
// Edit tree
if (tree != nullptr) {
newNode->tree = tree;
tree->size++;
}
// Link this to new node
rightNode = newNode;
// Return true
return newNode;
}
template <typename T> BinaryNode<T>* BinaryNode<T>::add(const T& data) {
BinaryNode<T>* newNode = new BinaryNode<T>(data);
BinaryNode<T>* currentNode = this;
while (currentNode != nullptr) {
if (data <= currentNode->data) {
if (currentNode->leftNode == nullptr)
return currentNode->addLeftNode(data);
currentNode = currentNode->leftNode;
continue;
}
else if (data > currentNode->data) {
if (currentNode->rightNode == nullptr)
return currentNode->addRightNode(data);
currentNode = currentNode->rightNode;
continue;
}
break;
}
// Failed to add to tree somehow
return nullptr;
}
template <typename T> BinaryNode<T>* BinaryNode<T>::add(const T& data, BinaryDirection directionIfEqual) {
BinaryNode<T>* newNode = new BinaryNode<T>(data);
BinaryNode<T>* currentNode = this;
while (currentNode != nullptr) {
if (data < currentNode->data || (data == currentNode->data && directionIfEqual == BinaryDirection::LEFT)) {
if (currentNode->leftNode == nullptr)
return currentNode->addLeftNode(data);
currentNode = currentNode->leftNode;
continue;
}
else if (data > currentNode->data || (data == currentNode->data && directionIfEqual == BinaryDirection::RIGHT)) {
if (currentNode->rightNode == nullptr)
return currentNode->addRightNode(data);
currentNode = currentNode->rightNode;
continue;
}
break;
}
// Failed to add to tree somehow
return nullptr;
}
template <typename T> bool BinaryNode<T>::erase(const T& data) {
BinaryNode<T>* nodeToErase = get(data);
if (nodeToErase == nullptr)
return false;
delete(nodeToErase);
return true;
}
template <typename T> void BinaryNode<T>::clearNodes() {
// Start destruction on left side
BinaryNode<T>* currentNode = leftNode;
// Destroy every binary node under currentNode
while (currentNode != nullptr) {
// Search for leaf
if (currentNode->leftNode != nullptr) {
currentNode = currentNode->leftNode;
continue;
}
if (currentNode->rightNode != nullptr) {
currentNode = currentNode->rightNode;
continue;
}
// Save parent node before deletion
BinaryNode<T>* parentNode = currentNode->parentNode;
// Delete current node
delete(currentNode);
// Go up to parent node
currentNode = parentNode;
// If current node is this, continue destruction on right side
if (currentNode == this)
currentNode = currentNode->rightNode;
}
}
// class BinaryTree
// Object | public
// Constructor / Destructor
template <typename T> BinaryTree<T>::BinaryTree() {
}
template <typename T> BinaryTree<T>::BinaryTree(const BinaryTree<T>& tree) {
// If tree is empty, return false
if (tree.size == 0ULL)
return;
// Search tree for data
BinaryNode<T>* otherCurrentNode = tree.rootNode;
BinaryNode<T>* thisCurrentNode = new BinaryNode<T>(this, otherCurrentNode->data);
while (otherCurrentNode != nullptr) {
// Check left branch
if (otherCurrentNode->leftNode != nullptr) {
otherCurrentNode = otherCurrentNode->leftNode;
thisCurrentNode = thisCurrentNode->addLeftNode(this, otherCurrentNode->data);
continue;
}
// Traverse tree upwards searching for right nodes
while (otherCurrentNode->parentNode != nullptr) {
otherCurrentNode = otherCurrentNode->parentNode;
if (otherCurrentNode->rightNode != nullptr) {
// Trigger right node's left branch check
otherCurrentNode = otherCurrentNode->rightNode;
thisCurrentNode = thisCurrentNode->addRightNode(this, otherCurrentNode->data);
break;
}
}
}
}
template <typename T> void BinaryTree<T>::operator = (const BinaryTree<T>& tree) {
// Clear this tree of nodes
clear();
// If tree is empty, return false
if (tree.size == 0ULL)
return;
// Search tree for data
BinaryNode<T>* otherCurrentNode = tree.rootNode;
BinaryNode<T>* thisCurrentNode = new BinaryNode<T>(this, otherCurrentNode->data);
while (otherCurrentNode != nullptr) {
// Check left branch
if (otherCurrentNode->leftNode != nullptr) {
otherCurrentNode = otherCurrentNode->leftNode;
thisCurrentNode = thisCurrentNode->addLeftNode(this, otherCurrentNode->data);
continue;
}
// Traverse tree upwards searching for right nodes
while (otherCurrentNode->parentNode != nullptr) {
otherCurrentNode = otherCurrentNode->parentNode;
if (otherCurrentNode->rightNode != nullptr) {
// Trigger right node's left branch check
otherCurrentNode = otherCurrentNode->rightNode;
thisCurrentNode = thisCurrentNode->addRightNode(this, otherCurrentNode->data);
break;
}
}
}
}
template <typename T> BinaryTree<T>::~BinaryTree() {
clear();
}
// Getters
template <typename T> int BinaryTree<T>::getSize() const {
return size;
}
template <typename T> BinaryNode<T>* BinaryTree<T>::getRootNode() const {
return rootNode;
}
// Functions
template <typename T> BinaryNode<T>* BinaryTree<T>::add(const T& data) {
if (size == 0) {
rootNode = new BinaryNode<T>(data);
rootNode->tree = this;
size++;
return rootNode;
}
return rootNode->add(data);
}
template <typename T> void BinaryTree<T>::clear() {
delete(rootNode);
}