Add RD of Binary Search Tree implementation
+ Update .gitignore to exclude .idea configs
This commit is contained in:
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b258c14022
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a864342974
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build/
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**/.vscode
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**/.idea/**
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**/driver
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**/*.o
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**/cmake-build-debug/**
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###############################################################################
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## Author: Shaun Reed ##
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## Legal: All Content (c) 2020 Shaun Reed, all rights reserved ##
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## About: A basic CMakeLists configuration to test BST implementation ##
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## ##
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## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
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##############################################################################
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## vector.cpp
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#
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cmake_minimum_required(VERSION 3.2)
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# Define the project name
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project(BinarySearchTree)
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# Define source files
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set(SRC driver.cpp bst.cpp)
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# Build an executable
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add_executable(BSTDriver ${SRC})
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/*#############################################################################
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## Author: Shaun Reed ##
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## Legal: All Content (c) 2020 Shaun Reed, all rights reserved ##
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## About: An example of a binary search tree implementation ##
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## ##
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## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
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##############################################################################
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## bst.cpp
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*/
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#include "bst.h"
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/********************************************************************************
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* Constructors, Destructors, Operators
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*********************************************************************************/
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/** Default Destructor
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* @brief Destroy the Binary Search Tree:: Binary Search Tree object
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*/
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BinarySearchTree::~BinarySearchTree()
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{
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makeEmpty(root);
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}
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/** Copy Assignment Operator
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* @brief Empty the calling object's root BinaryNode, and copy the rhs data
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*
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* @param rhs The BST to copy, beginning from its root BinaryNode
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* @return const BinarySearchTree& The copied BinarySearchTree object
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*/
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const BinarySearchTree& BinarySearchTree::operator=(const BinarySearchTree& rhs)
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{
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// If the objects are already equal, do nothing
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if (this == &rhs) return *this;
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// Empty this->root
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makeEmpty();
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// Copy rhs to this->root
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root = clone(rhs.root);
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return *this;
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}
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/********************************************************************************
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* Public Member Functions
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*********************************************************************************/
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/** findMin
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* @brief Find and return the minimum value of the calling BST object
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* Calls to the private member findMin(BinaryNode* t)
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*
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* @return const int& The element of the BinaryNode that holds the lowest value in our tree
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*/
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const int & BinarySearchTree::findMin() const
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{
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return findMin(root)->element;
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}
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/** findMax
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* @brief Find and return the maximum value of the calling BST object
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* Calls to the private member findMax(BinaryNode* t)
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*
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* @return const int& The element of the BinaryNode that holds the highest value in our tree
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*/
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const int & BinarySearchTree::findMax() const
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{
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return findMax(root)->element;
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}
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/** contains
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* @brief Determine whether or not a value exists within the calling BST object
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* Calls to the private member contains(const int &x, BinaryNode* t)
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*
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* @param x The value to search for within our tree
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* @return true If the value is found within any BinaryNode->element
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* @return false If the value is not found within any BinaryNode->element
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*/
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bool BinarySearchTree::contains(const int &x) const
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{
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return contains(x, root);
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}
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/** isEmpty
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* @brief Determine wheter or not the calling BST object is empty
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*
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* @return true If this->root node points to an empty tree (NULL)
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* @return false If this->root node points to a constructed BinaryNode
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*/
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bool BinarySearchTree::isEmpty() // const?
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{
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return root == NULL;
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}
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/** insert
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* @brief Inserts a new value into the calling BST object
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* Calls to the private member insert(const int &x, BinaryNode* t)
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*
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* @param x The new value to insert into our BinarySearchTree
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*/
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void BinarySearchTree::insert(const int & x)
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{
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insert(x, root);
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}
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/** remove
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* @brief Remove a value from the calling BST object
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* Calls to the private member remove(const int &x, BinaryNode* t)
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*
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* @param x The value to remove from our BST
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*/
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void BinarySearchTree::remove(const int &x)
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{
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remove(x, root);
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}
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/** makeEmpty
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* @brief Delete the root BinaryNode and all of its children from the calling BST object
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* Calls to the private member makeEmpty(BinaryNode* t)
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*/
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void BinarySearchTree::makeEmpty()
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{
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makeEmpty(root);
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}
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/** printInOrder
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* @brief Output the element of each BinaryNode between their left and right subtrees
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* Calls to the private member printInOrder(BinaryNode* t)
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*/
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void BinarySearchTree::printInOrder() const
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{
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printInOrder(root);
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}
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/** printPostOrder
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* @brief Output the element of each BinaryNode after their left and right subtrees
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* Calls to the private member printPostOrder(BinaryNode* t)
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*/
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void BinarySearchTree::printPostOrder() const
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{
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printPostOrder(root);
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}
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/** printPreOrder
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* @brief Output the element of each BinaryNode before their left and right subtrees
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* Calls to the private member printPreOrder(BinaryNode* t)
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*/
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void BinarySearchTree::printPreOrder() const
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{
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printPreOrder(root);
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}
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/********************************************************************************
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* Private Member Functions
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*********************************************************************************/
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/** clone
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* @brief Clone a BST node and all its children
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*
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* @param t The node to begin cloning from
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* @return BinarySearchTree::BinaryNode* The root node of the copied tree
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*/
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BinarySearchTree::BinaryNode * BinarySearchTree::clone(BinaryNode *t) const
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{
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// If there is nothing to copy
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if (t == NULL) return NULL;
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// Construct all child nodes through recursion, return root node
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return new BinaryNode(t->element, clone(t->left), clone(t->right));
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}
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/** insert
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* @brief Insert a value into the BST of the given BinaryNode
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*
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* @param x The value to be inserted
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* @param t The BinaryNode to beign insertion
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*/
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void BinarySearchTree::insert(const int &x, BinarySearchTree::BinaryNode *&t) const
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{
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if (t == NULL)
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t = new BinaryNode(x, NULL, NULL);
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else if (x < t->element)
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insert (x, t->left);
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else if (x > t->element)
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insert (x, t->right);
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else
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return;
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}
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/** remove
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* @brief Removes a value from the BST of the given BinaryNode
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*
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* @param x The value to be removed
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* @param t The BinaryNode to begin search and removal from
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*/
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void BinarySearchTree::remove(const int &x, BinarySearchTree::BinaryNode *&t) const
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{
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if (t == NULL)
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return;
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if (x < t->element)
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remove(x, t->left);
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else if (x > t->element)
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remove(x, t->right);
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else if (t->left != NULL && t->right != NULL) {
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// If we found the node and there are two branches
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t->element = findMin(t->right)->element;
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std::cout << "Removing [" << t->element << "]...\n";
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remove(t->element, t->right);
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}
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else {
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// If we found the value and there is only one branch
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BinaryNode *oldNode = t;
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t = (t->left != NULL) ? t->left : t->right;
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std::cout << "Removing [" << oldNode->element << "]...\n";
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delete oldNode;
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}
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}
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/** findMin
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* @brief Find the minimum value within the BST of the given BinaryNode
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*
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* @param t The root BinaryNode to begin checking values
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* @return BinarySearchTree::BinaryNode* The BinaryNode which contains the smallest value (returns NULL if BST is empty)
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*/
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BinarySearchTree::BinaryNode * BinarySearchTree::findMin(BinarySearchTree::BinaryNode *t) const
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{
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while (t != NULL)
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t = t->left;
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// If our tree is empty
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if (t == NULL)
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return NULL;
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// If current node has no smaller children, it is min
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if (t->left == NULL)
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return t;
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// Move down the left side of our tree and check again
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return findMin(t->left);
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}
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/** findMax
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* @brief Find the maximum value within the BST of the given BinaryNode
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*
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* @param t Te root BinaryNode to begin checking values
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* @return BinarySearchTree::BinaryNode* The BinaryNode which contains the largest value (returns NULL if BST is empty)
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*/
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BinarySearchTree::BinaryNode * BinarySearchTree::findMax(BinarySearchTree::BinaryNode *t) const
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{
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// If our tree is empty
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if (t == NULL)
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return NULL;
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// If current node has no larger children, it is max
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if (t->right == NULL)
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return t;
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// Move down the right side of our tree and check again
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return findMax(t->right);
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}
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/** contains
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* @brief Determines if the value exists within the given BinaryNode and its children
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*
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* @param x The value to search for within the BST
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* @param t The root BinaryNode to beign the search
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* @return true If the value is found within the root node or any of its children
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* @return false If the value is not found within the root node or any of its children
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*/
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bool BinarySearchTree::contains(const int &x, BinarySearchTree::BinaryNode *t) const
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{
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if (t == NULL) // If tree is empty
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return false;
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else if (x < t->element) // If x is smaller than our current value
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return contains(x, t->left);// Check left node
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else if (x > t->element) // If x is larger than our current value
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return contains(x, t->right); // Check right node
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else
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return true;
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}
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/** makeEmpty
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* @brief Recursively delete the given root BinaryNode and all of its children
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*
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* @param t The root BinaryNode to delete, along with all child nodes
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*/
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void BinarySearchTree::makeEmpty(BinarySearchTree::BinaryNode * & t)
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{
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if (t != NULL) {
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makeEmpty(t->left);
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makeEmpty(t->right);
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delete t;
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}
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t = NULL;
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}
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/** printInOrder
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* @brief Output the element of the root nodes between printing their left and right subtrees
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*
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* @param t The root BinaryNode to begin the 'In Order' output
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*/
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void BinarySearchTree::printInOrder(BinaryNode *t) const
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{
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if(t != NULL) {
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printInOrder(t->left);
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std::cout << t->element << " ";
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printInOrder(t->right);
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}
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}
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/** printPostOrder
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* @brief Output the value of the root nodes only after their subtrees
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*
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* @param t The root BinaryNode to begin the 'Post Order' output
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*/
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void BinarySearchTree::printPostOrder(BinaryNode *t) const
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{
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if (t != NULL) {
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printPostOrder(t->left);
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printPostOrder(t->right);
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std::cout << t->element << " ";
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}
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}
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/** printPreOrder
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* @brief Output the value of the noot nodes before their subtrees
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*
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* @param t The root BinaryNode to begin the 'Pre Order' output
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*/
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void BinarySearchTree::printPreOrder(BinaryNode *t) const
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{
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if (t != NULL) {
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std::cout << t->element << " ";
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printPreOrder(t->left);
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printPreOrder(t->right);
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}
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}
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/*#############################################################################
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## Author: Shaun Reed ##
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## Legal: All Content (c) 2020 Shaun Reed, all rights reserved ##
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## About: An example of a binary search tree implementation ##
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## ##
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## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
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##############################################################################
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## bst.h
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*/
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#ifndef BST_H
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#define BST_H
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#include <iostream>
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// TODO: Add balance() method to balance overweight branches
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class BinarySearchTree {
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public:
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BinarySearchTree() : root(NULL) {};
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BinarySearchTree(const BinarySearchTree &rhs) : root(rhs.clone(rhs.root)) {};
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const BinarySearchTree& operator=(const BinarySearchTree& rhs);
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~BinarySearchTree();
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const int & findMin() const;
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const int & findMax() const;
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bool contains(const int &x) const;
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bool isEmpty();
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void insert(const int &x);
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void remove(const int &x);
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void makeEmpty();
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void printInOrder() const;
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void printPostOrder() const;
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void printPreOrder() const;
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private:
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struct BinaryNode{
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int element;
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BinaryNode *left;
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BinaryNode *right;
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BinaryNode(const int &el, BinaryNode *lt, BinaryNode *rt)
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:element(el), left(lt), right(rt) {};
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};
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BinaryNode *root;
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BinaryNode * clone(BinaryNode *t) const;
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void insert(const int &x, BinaryNode *&t) const;
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void remove(const int &x, BinaryNode *&t) const;
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BinaryNode * findMin(BinaryNode *t) const;
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BinaryNode * findMax(BinaryNode *t) const;
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bool contains(const int &x, BinaryNode *t) const;
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void makeEmpty(BinaryNode * & t);
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void printInOrder(BinaryNode *t) const;
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void printPostOrder(BinaryNode *t) const;
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void printPreOrder(BinaryNode *t) const;
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};
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#endif //BST_H
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/*#############################################################################
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## Author: Shaun Reed ##
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## Legal: All Content (c) 2020 Shaun Reed, all rights reserved ##
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## About: A driver program to test a binary search tree implementation ##
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## ##
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## Contact: shaunrd0@gmail.com | URL: www.shaunreed.com | GitHub: shaunrd0 ##
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##############################################################################
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## driver.cpp
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*/
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#include "bst.h"
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#include <iostream>
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enum OPS {
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EXIT, INSERT, REMOVE, CONTAINS, INFIX, PREFIX, POSTFIX, EMPTY, MIN, MAX
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};
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int main()
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{
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std::cout << "Driver: \n";
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BinarySearchTree testList;
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bool exit = false;
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int choice = -1;
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int val;
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while (!exit)
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{
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std::cout << "##### Binary Search Tree Menu #####\n\t0. Exit"
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"\n\t1. Insert\n\t2. Remove\n\t3. Contains\n\t4. Infix\n\t5. Prefix"
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<< "\n\t6. Postfix\n\t7. Empty\n\t8. Min\n\t9. Max\n";
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std::cin >> choice;
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std::cin.clear();
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switch (choice) {
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case EXIT:
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exit = true;
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break;
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case INSERT:
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std::cout << "Enter a value to insert to our tree: ";
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std::cin >> val;
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std::cin.clear();
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testList.insert(val);
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break;
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case REMOVE:
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std::cout << "Enter a value to remove from our tree: ";
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std::cin >> val;
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std::cin.clear();
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testList.remove(val);
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break;
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case CONTAINS:
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std::cout << "Enter a value to search for within our tree: ";
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std::cin >> val;
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std::cin.clear();
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if (testList.contains(val))
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std::cout << val << " exists within our tree\n";
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else std::cout << val << " does not exist within our tree\n";
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break;
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case INFIX:
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testList.printInOrder();
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break;
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case PREFIX:
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testList.printPreOrder();
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break;
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case POSTFIX:
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testList.printPostOrder();
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break;
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case EMPTY:
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testList.makeEmpty();
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break;
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case MIN:
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std::cout << "Min value within our tree: " << testList.findMin();
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break;
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case MAX:
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std::cout << "Max value within our tree: " << testList.findMax();
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break;
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default:
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std::cout << "Invalid entry...\n";
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break;
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}
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}
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}
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