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TreeSplay.java
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394 lines (320 loc) · 9.72 KB
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public class TreeSplay<T extends Comparable<T>> {
// Node Subclass
public class Node {
private T data;
private Node left;
private Node right;
private Node parent;
public Node(T data) {
this.data = data;
this.left = null;
this.right = null;
}
public T getData() {
return data;
}
public Node getLeft() {
return left;
}
public Node getRight() {
return right;
}
public Node getParent() {
return parent;
}
public void setData(T data) {
this.data = data;
}
public void setLeft(Node left) {
this.left = left;
}
public void setRight(Node right) {
this.right = right;
}
public void setParent(Node parent) {
this.parent = parent;
}
public boolean isLeaf() {
return left == null && right == null;
}
public boolean hasLeft() {
return left != null;
}
public boolean hasRight() {
return right != null;
}
public boolean hasBoth() {
return left != null && right != null;
}
public boolean isLeft() {
return parent != null && this == parent.left;
}
public boolean isRight() {
return parent != null && this == parent.right;
}
@Override
public String toString() {
return data.toString();
}
}
// Attributes
private Node root;
// Constructors
public TreeSplay() {
root = null;
}
// Methods - CRUD
public void insert(T data) {
Node newNode = new Node(data);
if (isEmpty()) {
root = newNode;
return;
}
Node current = root;
Node parent = null;
while (current != null) {
parent = current;
if (data.compareTo(current.getData()) < 0) {
current = current.getLeft();
} else {
current = current.getRight();
}
}
newNode.setParent(parent);
if (data.compareTo(parent.getData()) < 0) {
parent.setLeft(newNode);
} else {
parent.setRight(newNode);
}
splay(newNode);
}
public void remove(T data) {
Node node = search(root, data);
if (node != null) {
remove(node);
}
}
public Node remove(Node node) {
splay(node);
if (!node.hasBoth()) {
transplant(node, node.getLeft() != null ? node.getLeft() : node.getRight());
} else {
Node predecessor = findMax(node.getLeft());
node.getLeft().setParent(null);
splay(predecessor);
predecessor.setRight(node.getRight());
if (node.hasRight()) {
node.getRight().setParent(predecessor);
}
transplant(node, predecessor);
}
return node;
}
public Node search(T data) {
Node node = search(root, data);
if (node != null) {
splay(node);
}
return node;
}
// Methods - Splay Tree
private void splay(Node node) {
while (node.getParent() != null) {
if (node.getParent().getParent() == null) {
if (node.isLeft()) {
rotateRight(node.getParent());
} else {
rotateLeft(node.getParent());
}
} else if (node.isLeft() && node.getParent().isLeft()) {
rotateRight(node.getParent().getParent());
rotateRight(node.getParent());
} else if (node.isRight() && node.getParent().isRight()) {
rotateLeft(node.getParent().getParent());
rotateLeft(node.getParent());
} else if (node.isLeft() && node.getParent().isRight()) {
rotateRight(node.getParent());
rotateLeft(node.getParent());
} else {
rotateLeft(node.getParent());
rotateRight(node.getParent());
}
}
}
// Methods - Red-Black Tree
private void transplant(Node oldNode, Node newNode) {
if (oldNode.getParent() == null) {
root = newNode;
} else if (oldNode.isLeft()) {
oldNode.getParent().setLeft(newNode);
} else {
oldNode.getParent().setRight(newNode);
}
if (newNode != null) {
newNode.setParent(oldNode.getParent());
}
}
private void rotateLeft(Node node) {
Node right = node.getRight();
node.setRight(right.getLeft());
if (right.hasLeft()) {
right.getLeft().setParent(node);
}
right.setParent(node.getParent());
if (node.getParent() == null) {
root = right;
} else if (node.isLeft()) {
node.getParent().setLeft(right);
} else {
node.getParent().setRight(right);
}
right.setLeft(node);
node.setParent(right);
}
private void rotateRight(Node node) {
Node left = node.getLeft();
node.setLeft(left.getRight());
if (left.hasRight()) {
left.getRight().setParent(node);
}
left.setParent(node.getParent());
if (node.getParent() == null) {
root = left;
} else if (node.isLeft()) {
node.getParent().setLeft(left);
} else {
node.getParent().setRight(left);
}
left.setRight(node);
node.setParent(left);
}
// Methods - Binary Search Tree
public boolean isEmpty() {
return root == null;
}
public boolean contains(T data) {
return search(data) != null;
}
private Node search(Node current, T data) {
if (current == null) {
return null;
}
int compare = data.compareTo(current.getData());
if (compare < 0) {
return search(current.getLeft(), data);
} else if (compare > 0) {
return search(current.getRight(), data);
}
return current;
}
public Node findMin() {
return findMin(root);
}
public Node findMin(Node current) {
if (!current.hasLeft()) {
return current;
}
return findMin(current.getLeft());
}
public Node findMax() {
return findMax(root);
}
public Node findMax(Node current) {
if (!current.hasRight()) {
return current;
}
return findMax(current.getRight());
}
// Methods - Traversal
public LinkedListSingle<Node> inOrder() {
LinkedListSingle<Node> nodes = new LinkedListSingle<>();
inOrder(root, nodes);
return nodes;
}
private void inOrder(Node current, LinkedListSingle<Node> nodes) {
if (current != null) {
inOrder(current.getLeft(), nodes);
nodes.add(current);
inOrder(current.getRight(), nodes);
}
}
public LinkedListSingle<Node> preOrder() {
LinkedListSingle<Node> nodes = new LinkedListSingle<>();
preOrder(root, nodes);
return nodes;
}
private void preOrder(Node current, LinkedListSingle<Node> nodes) {
if (current != null) {
nodes.add(current);
preOrder(current.getLeft(), nodes);
preOrder(current.getRight(), nodes);
}
}
public LinkedListSingle<Node> postOrder() {
LinkedListSingle<Node> nodes = new LinkedListSingle<>();
postOrder(root, nodes);
return nodes;
}
private void postOrder(Node current, LinkedListSingle<Node> nodes) {
if (current != null) {
postOrder(current.getLeft(), nodes);
postOrder(current.getRight(), nodes);
nodes.add(current);
}
}
public LinkedListSingle<Node> bfs() {
LinkedListSingle<Node> nodes = new LinkedListSingle<>();
QueueLinkedList<Node> queue = new QueueLinkedList<>();
queue.enqueue(root);
while (!queue.isEmpty()) {
Node current = queue.dequeue();
nodes.add(current);
if (current.hasLeft()) {
queue.enqueue(current.getLeft());
}
if (current.hasRight()) {
queue.enqueue(current.getRight());
}
}
return nodes;
}
public LinkedListSingle<Node> dfs() {
LinkedListSingle<Node> nodes = new LinkedListSingle<>();
StackLinkedList<Node> stack = new StackLinkedList<>();
stack.push(root);
while (!stack.isEmpty()) {
Node current = stack.pop();
nodes.add(current);
if (current.hasRight()) {
stack.push(current.getRight());
}
if (current.hasLeft()) {
stack.push(current.getLeft());
}
}
return nodes;
}
public void print() {
QueueLinkedList<Node> queue = new QueueLinkedList<Node>();
queue.enqueue(root);
queue.enqueue(null);
while (!queue.isEmpty()) {
Node current = queue.dequeue();
if (current == null) {
System.out.print("| ");
continue;
}
System.out.print(current + " ");
if (current.hasLeft())
queue.enqueue(current.left);
if (current.hasRight())
queue.enqueue(current.right);
queue.enqueue(null);
}
System.out.println();
}
@Override
public String toString() {
return bfs().toString();
}
}