/*
* Returns the parent tree
*/
public AVLNode<E> get_parent_helper(AVLNode<E> currentNode, AVLNode<E> root, AVLNode<E> x) {
if (currentNode == null) return null;
// System.out.println("current " + currentNode.getElement() + " and x " + x.getElement() );
// System.out.println(".equls is " + currentNode.getElement().equals(x.getElement()));
if (currentNode.getElement().equals(x.getElement())) {
return root;
}
AVLNode<E> value = get_parent_helper(currentNode.getLeft(), currentNode, x);
if (value == null) return get_parent_helper(currentNode.getRight(), currentNode, x);
return value;
}
public AVLNode<E> find(E element) {
AVLNode<E> temp = rootAbove.getLeft();
while (temp != null) {
if (temp.getElement().equals(element)) return temp;
int balance = element.compareTo(temp.getElement());
temp = (balance < 0) ? temp.getLeft() : temp.getRight();
}
return null;
}
/**
* @param element: The element to search for in the AVLTree
* @return boolean: true if the element is found, false otherwise
* <p>The contains method simply traverses the binary search tree based on element's relation
* to the AVLNodes in the Tree until a match is found or it hits the bottom of the Tree.
*/
public boolean contains(E element) {
AVLNode<E> temp = rootAbove.getLeft();
while (temp != null) {
if (temp.getElement().equals(element)) return true;
int balance = element.compareTo(temp.getElement());
temp = (balance < 0) ? temp.getLeft() : temp.getRight();
}
return false;
}
/*
* Return the parent tree
*/
public AVLNode<E> get_parent(AVLNode<E> x) {
if (rootAbove.getLeft() == null) {
return null;
} else if (x == null) {
return null;
} else if (rootAbove.getLeft().getElement().equals(x.getElement())) {
return null;
}
AVLNode<E> value = get_parent_helper(rootAbove.getLeft(), rootAbove.getLeft(), x);
if (value == null) return get_parent_helper(rootAbove.getRight(), rootAbove.getLeft(), x);
return value;
}
/**
* @param element: The element to insert into the Tree
* @param temp: The AVLNode to evaluate for recursive insertion
* <p>This method recursively traverses the Tree, inserting the element at the appropriate
* spot and incrementing the balance factors for the subtrees as it evaluates. The Tree will
* then recursively rebalance as necessary.
*/
private void insert(E element, AVLNode<E> temp) {
if (this.rootAbove.getLeft() == null) {
this.rootAbove.setLeftNode(new AVLNode<E>(element));
return;
}
// travel left or right based on the
// comparison of element to temp.element
// remember that left means that element <= temp.element
// and right means element > temp.element
int compare = element.compareTo(temp.getElement());
// travel to the left of the Tree, inserting
// if the bottom has been reached
if (compare <= 0) {
// System.out.println(temp.getLeft());
if (temp.getLeft() == null) {
temp.setLeft(element);
return;
}
insert(element, temp.getLeft());
}
// otherwise, travelling to the right of the Tree,
// inserting if the bottom has been reached
else {
if (temp.getRight() == null) {
temp.setRight(element);
return;
}
insert(element, temp.getRight());
}
// if the root is being evaluated it, rotate if necessary
if (temp == rootAbove.getLeft()) {
rotate(rootAbove.getLeft(), rootAbove);
}
// otherwise, rotate the left and right subtrees
// as necessary
if (temp.getLeft() != null) {
rotate(temp.getLeft(), temp);
}
if (temp.getRight() != null) {
rotate(temp.getRight(), temp);
}
} // end insert
/**
* @param element: The element to remove from the AVLTree
* @param temp: The root node of the subtree
* <p>This method recursively traverses the AVLTree based on the ordering of the element with
* respect to the Tree's elements. If the element is not found, then nothing happens.
* Otherwise, the element is removed, and either the far-right element on its left child or
* the far left element on its right child replaces it. *
*/
private void remove(E element, AVLNode<E> temp) {
if (temp == null) return;
int compare = 0;
if (temp != rootAbove) compare = element.compareTo(temp.getElement());
boolean direction = (compare > 0 && temp != rootAbove);
AVLNode<E> child = direction ? temp.getRight() : temp.getLeft();
if (child == null) return;
// if the root is perfectly balanced, slide the left Node up
// and reinsert the left.right element if necessary
if (temp == rootAbove && child.getBalance() == 0 && child.getElement().equals(element)) {
AVLNode<E> newRoot = child.getLeft();
if (newRoot == null) {
rootAbove.setLeftNode(null);
return;
} else {
enactRemoval(temp, child, false);
return;
}
}
// if the element is found and the root is not
// perfectly balanced, remove it using enactRemoval()
else if (element.compareTo(child.getElement()) == 0) {
enactRemoval(temp, child, direction);
}
// otherwise, recursively traverse the tree
else {
remove(element, child);
}
}
/**
* Update the path from node down to the node containing element. Since it is guaranteed there is
* a path between these two arguments, node should never become null.
*
* @param node the root of some subtree, originally the root of the subtree whose node was
* removed.
* @param element the element stored at the end of the path to be updated. This element was the
* parent to the value t hat supplied the replacement value for a node during a remove()
* operation.
*/
private AVLNode<E> updatePath(AVLNode<E> node, E element) {
int compareResult = element.compareTo(node.getElement());
if (compareResult == 0) { // reached the end of the path
node = fixSubtreeRootedAt(node);
} else if (compareResult < 0) {
node.leftChild = updatePath((AVLNode<E>) node.leftChild, element);
node = fixSubtreeRootedAt(node);
} else if (compareResult > 0) {
node.rightChild = updatePath((AVLNode<E>) node.rightChild, element);
node = fixSubtreeRootedAt(node);
}
return node;
}
public AVLNode<E> get_left_neighbor(AVLNode<E> x) {
AVLNode<E> left_child = x.getLeft();
AVLNode<E> ret = left_child;
if (left_child == null) {
if (get_parent(x) != null && get_parent(x).getElement().compareTo(x.getElement()) == -1) {
return get_parent(x);
} else {
return null;
}
}
AVLNode<E> right = left_child.getRight();
while (right != null) {
ret = right;
right = right.getRight();
}
return ret;
}
