Source code for ./labs/lab05/code/postlab/AVLTree.cpp (via source-highlight)
#include "AVLNode.h"
#include "AVLTree.h"
#include <iostream>
#include <string>
using namespace std;
AVLTree::AVLTree() {
root = NULL;
}
AVLTree::~AVLTree() {
delete root;
root = NULL;
}
// insert finds a position for x in the tree and places it there, rebalancing
// as necessary.
void AVLTree::insert(const string& x) {
// YOUR IMPLEMENTATION GOES HERE
}
// remove finds x's position in the tree and removes it, rebalancing as
// necessary.
void AVLTree::remove(const string& x) {
root = remove(root, x);
}
// pathTo finds x in the tree and returns a string representing the path it
// took to get there.
string AVLTree::pathTo(const string& x) const {
// YOUR IMPLEMENTATION GOES HERE
}
// find determines whether or not x exists in the tree.
bool AVLTree::find(const string& x) const {
// YOUR IMPLEMENTATION GOES HERE
}
// numNodes returns the total number of nodes in the tree.
int AVLTree::numNodes() const {
// YOUR IMPLEMENTATION GOES HERE
}
// balance makes sure that the subtree with root n maintains the AVL tree
// property, namely that the balance factor of n is either -1, 0, or 1.
void AVLTree::balance(AVLNode*& n) {
// YOUR IMPLEMENTATION GOES HERE
}
// rotateLeft performs a single rotation on node n with its right child.
AVLNode* AVLTree::rotateLeft(AVLNode*& n) {
// YOUR IMPLEMENTATION GOES HERE
}
// rotateRight performs a single rotation on node n with its left child.
AVLNode* AVLTree::rotateRight(AVLNode*& n) {
// YOUR IMPLEMENTATION GOES HERE
}
// private helper for remove to allow recursion over different nodes.
// Returns an AVLNode* that is assigned to the original node.
AVLNode* AVLTree::remove(AVLNode*& n, const string& x) {
if (n == NULL) {
return NULL;
}
// first look for x
if (x == n->value) {
// found
if (n->left == NULL && n->right == NULL) {
// no children
delete n;
n = NULL;
return NULL;
} else if (n->left == NULL) {
// Single child (left)
AVLNode* temp = n->right;
n->right = NULL;
delete n;
n = NULL;
return temp;
} else if (n->right == NULL) {
// Single child (right)
AVLNode* temp = n->left;
n->left = NULL;
delete n;
n = NULL;
return temp;
} else {
// two children -- tree may become unbalanced after deleting n
string sr = min(n->right);
n->value = sr;
n->right = remove(n->right, sr);
}
} else if (x < n->value) {
n->left = remove(n->left, x);
} else {
n->right = remove(n->right, x);
}
// Recalculate heights and balance this subtree
n->height = 1 + max(height(n->left), height(n->right));
balance(n);
return n;
}
// min finds the string with the smallest value in a subtree.
string AVLTree::min(AVLNode* node) const {
// go to bottom-left node
if (node->left == NULL) {
return node->value;
}
return min(node->left);
}
// height returns the value of the height field in a node.
// If the node is null, it returns -1.
int AVLTree::height(AVLNode* node) const {
if (node == NULL) {
return -1;
}
return node->height;
}
// max returns the greater of two integers.
int max(int a, int b) {
if (a > b) {
return a;
}
return b;
}
// Helper function to print branches of the binary tree
// You do not need to know how this function works.
void showTrunks(Trunk* p) {
if (p == NULL) return;
showTrunks(p->prev);
cout << p->str;
}
// Recursive function to print binary tree
// It uses inorder traversal
void AVLTree::printTree(AVLNode* root, Trunk* prev, bool isRight) {
if (root == NULL) return;
string prev_str = " ";
Trunk* trunk = new Trunk(prev, prev_str);
printTree(root->right, trunk, true);
if (!prev)
trunk->str = "---";
else if (isRight) {
trunk->str = ".---";
prev_str = " |";
} else {
trunk->str = "`---";
prev->str = prev_str;
}
showTrunks(trunk);
cout << root->value << endl;
if (prev) prev->str = prev_str;
trunk->str = " |";
printTree(root->left, trunk, false);
delete trunk;
}
void AVLTree::printTree() {
printTree(root, NULL, false);
}