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AVLTree.java
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public class AVLTree<T extends Comparable<T>> {
private Node<T> root;
private int size;
public AVLTree() {
size = 0;
}
public Node<T> getRoot() {
return root;
}
public int getSize() {
return size;
}
public int getDistance(T lower, T upper) {
Node<T> current = root;
if (current == null) {
return 0;
} else if (lower.compareTo(current.value) > 0) {
return sumWeights(current.right, lower, upper);
} else if (upper.compareTo(current.value) <= 0) {
return sumWeights(current.left, lower, upper);
} else {
return sumWeights(current.right, lower, upper) +
sumWeights(current.left, lower, upper) + 1;
}
}
private int sumWeights(Node<T> current, T lower, T upper) {
if (current == null) {
return 0;
} else {
if (lower.compareTo(current.value) > 0) {
return sumWeights(current.right, lower, upper);
} else if (upper.compareTo(current.value) <= 0) {
return sumWeights(current.left, lower, upper);
} else {
return sumWeights(current.right, lower, upper) +
sumWeights(current.left, lower, upper) + 1;
}
}
}
public void add(T val) {
Node<T> newNode = new Node<T>(val);
if (size == 0) {
root = newNode;
newNode.parent = null;
newNode.height = 0;
newNode.balance = 0;
size++;
} else {
insertNode(root,newNode);
}
}
public void remove(T val) {
}
private void insertNode(Node<T> current, Node<T> newNode) {
if (current.compareTo(newNode) > 0) {
//Go left
if (current.left == null) {
current.left = newNode;
newNode.parent = current;
size++;
updateParents(current);
balanceTree(current);
} else {
insertNode(current.left, newNode);
}
} else {
//Go right
if (current.right == null) {
current.right = newNode;
newNode.parent = current;
size++;
updateParents(current);
balanceTree(current);
} else {
insertNode(current.right, newNode);
}
}
}
private void updateParents(Node<T> node) {
int leftHeight = 0;
int rightHeight = 0;
int leftWeight = 0;
int rightWeight = 0;
if (node.left != null) {
leftHeight = node.left.height;
leftWeight = node.left.weight;
}
if (node.right != null) {
rightHeight = node.right.height;
rightWeight = node.right.weight;
}
node.weight = rightWeight + leftWeight + 1;
node.height = Math.max(leftHeight, rightHeight) + 1;
node.balance = leftHeight - rightHeight;
if(node.parent != null) {
updateParents(node.parent);
}
}
private void balanceTree(Node<T> node) {
if (node.balance > 1) {
//Left too tall
rotateTreeRight(node);
} else if (node.balance < -1) {
//Right too tall
rotateTreeLeft(node);
}
if (node.parent != null) {
balanceTree(node.parent);
}
}
private void rotateTreeRight(Node<T> node) {
//Check if left node is right heavy first
//Left MUST not be empty
Node<T> checkNode = node.left;
if (checkNode.balance < 0) {
rotateLeft(checkNode);
}
rotateRight(node);
}
private void rotateTreeLeft(Node<T> node) {
//check if right node is left heavy first
//Right MUST not be empty
Node<T> checkNode = node.right;
if (checkNode.balance > 0) {
rotateRight(checkNode);
}
rotateLeft(node);
}
private void rotateRight(Node<T> node) {
if (node.left != null) {
Node<T> newNode = node.left;
Node<T> parent = node.parent;
if (parent != null) {
//Parent-node relations
if (parent.left != null && parent.left == node) {
parent.left = newNode;
} else if (parent.right != null && parent.right == node) {
parent.right = newNode;
}
newNode.parent = parent;
} else {
newNode.parent = null;
root = newNode;
}
//shift-node relations
if (newNode.right != null) {
newNode.right.parent = node;
node.left = newNode.right;
} else {
node.left = null;
}
//node-old node relations
node.parent = newNode;
newNode.right = node;
//update weights and heights
updateParents(node);
}
}
private void rotateLeft(Node<T> node) {
if (node.right != null) {
Node<T> newNode = node.right;
Node<T> parent = node.parent;
if (parent != null) {
//Parent-node relations
if (parent.left != null && parent.left == node) {
parent.left = newNode;
} else if (parent.right != null && parent.right == node) {
parent.right = newNode;
}
newNode.parent = parent;
} else {
newNode.parent = null;
root = newNode;
}
//shift-node relations
if (newNode.left != null) {
newNode.left.parent = node;
node.right = newNode.left;
} else {
node.right = null;
}
//node-old node relations
node.parent = newNode;
newNode.left = node;
//update weights and heights
updateParents(node);
}
}
public class Node<T extends Comparable<T>> implements Comparable<Node<T>>{
private T value;
Node<T> left;
Node<T> right;
Node<T> parent;
private int weight;
int height;
int balance;
public Node(T val) {
value = val;
weight = 1;
height = 0;
balance = 0;
}
public void setWeight(int newWeight) {
weight = newWeight;
}
public int getWeight() {
return weight;
}
public T getValue() {
return value;
}
public void setValue(T val) {
value = val;
}
@Override
public int compareTo(Node<T> other) {
return value.compareTo(other.getValue());
}
}
}