Created
July 17, 2012 13:22
-
-
Save aspyct/3129371 to your computer and use it in GitHub Desktop.
Left Leaning Red/Black Tree implemented in Java
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
package org.aspyct.going; | |
import java.util.Iterator; | |
import java.util.Stack; | |
/** | |
* This is an implementation of the Left Leaning Red/Black Tree as | |
* described in the course from the University of Princeton. | |
* | |
* This code contains a lot of assertions (assert ;). | |
* They are included only to make things as clear as possible. | |
* These can be safely removed. | |
* | |
* @author Antoine d'Otreppe <[email protected]> @aspyct | |
* | |
*/ | |
public class RBTree<K extends Comparable<K>, V> implements Iterable<RBTree<K, V>.Entry<K, V>>{ | |
private static final boolean RED = true; | |
private static final boolean BLACK = false; | |
public abstract class Entry<K, V> { | |
public abstract K key(); | |
public abstract V value(); | |
} | |
private class Node<K, V> extends Entry<K, V> { | |
K key; | |
V value; | |
Node<K, V> left; | |
Node<K, V> right; | |
boolean color; | |
Node(K key, V value) { | |
this.key = key; | |
this.value = value; | |
this.color = RED; | |
} | |
public K key() { | |
return key; | |
} | |
public V value() { | |
return value; | |
} | |
} | |
private Node<K, V> root; | |
public void put(K key, V value) { | |
root = put(root, key, value); | |
root.color = BLACK; | |
} | |
private Node<K, V> put(Node<K, V> node, K key, V value) { | |
if (node == null) { | |
return new Node<K, V>(key, value); | |
} | |
// Inv: the current node is not a 4-node | |
if (isFourNode(node)) { | |
node = splitFourNode(node); | |
} | |
assert !isFourNode(node); | |
// Regular recursive BST insert | |
int cmp = key.compareTo(node.key); | |
if (cmp == 0) { | |
node.value = value; | |
} | |
else if (cmp < 0) { | |
node.left = put(node.left, key, value); | |
} | |
else /* if (cmp > 0) */ { | |
node.right = put(node.right, key, value); | |
} | |
// No right-leaning red branch please | |
if (isRed(node.right)) { | |
node = leanLeft(node); | |
} | |
assert !isRed(node.right); | |
if (node.left != null) { | |
assert node.left.key.compareTo(node.key) < 0; | |
} | |
if (node.right != null) { | |
assert node.right.key.compareTo(node.key) > 0; | |
} | |
assert node != null; | |
return node; | |
} | |
private boolean isFourNode(Node<K, V> node) { | |
return isRed(node.left) && isRed(node.left.left); | |
} | |
private boolean isRed(Node<K, V> node) { | |
if (node == null) { | |
return false; | |
} | |
else { | |
return node.color == RED; | |
} | |
} | |
private Node<K, V> splitFourNode(Node<K, V> node) { | |
/** | |
* Scenario: node is black | |
* node.left is red | |
* node.left.left is red | |
*/ | |
assert !isRed(node); | |
assert isRed(node.left); | |
assert isRed(node.left.left); | |
node = rotateRight(node); | |
node.left.color = BLACK; | |
return node; | |
} | |
private Node<K, V> leanLeft(Node<K, V> node) { | |
/** | |
* Scenario: node.right is red | |
*/ | |
assert isRed(node.right); | |
node = rotateLeft(node); | |
node.color = node.left.color; | |
node.left.color = RED; | |
return node; | |
} | |
private Node<K, V> rotateLeft(Node<K, V> node) { | |
Node<K, V> top = node.right; | |
node.right = top.left; | |
top.left = node; | |
return top; | |
} | |
private Node<K, V> rotateRight(Node<K, V> node) { | |
Node<K, V> top = node.left; | |
node.left = top.right; | |
top.right = node; | |
return top; | |
} | |
public Iterator<Entry<K, V>> iterator() { | |
return new InorderEntryIterator(root); | |
} | |
private class InorderEntryIterator implements Iterator<Entry<K, V>> { | |
Stack<Node<K, V>> stack; | |
InorderEntryIterator(Node<K, V> root) { | |
stack = new Stack<Node<K, V>>(); | |
explore(root); | |
} | |
private void explore(Node<K, V> node) { | |
while (node != null) { | |
stack.push(node); | |
node = node.left; | |
} | |
} | |
public boolean hasNext() { | |
return !stack.empty(); | |
} | |
public Entry<K, V> next() { | |
Node<K, V> node = stack.pop(); | |
if (node.right != null) { | |
explore(node.right); | |
} | |
return node; | |
} | |
public void remove() { | |
throw new UnsupportedOperationException("Cannot remove nodes from here"); | |
} | |
} | |
// java -ea org.aspyct.going.RBTree | |
public static void main(String[] args) { | |
RBTree<Character, Integer> tree = new RBTree<Character, Integer>(); | |
/* | |
* c | |
* / \ | |
*/ | |
tree.put('c', 0); | |
assert tree.root != null; | |
assert tree.root.key == 'c'; | |
assert tree.root.value == 0; | |
assert tree.root.color == BLACK; | |
/* Take a bigger key and check that the tree is rotated | |
* | |
* i | |
* / \ | |
* c | |
* / \ | |
*/ | |
tree.put('i', 0); | |
assert tree.root.key == 'i'; | |
assert tree.root.left.key == 'c'; | |
assert tree.root.color == BLACK; | |
assert tree.root.left.color == RED; | |
assert tree.root.right == null; | |
assert tree.root.left.right == null; | |
assert tree.root.left.left == null; | |
/* Again, a bigger key, and check that the tree is still left | |
* | |
* v | |
* / \ | |
* i | |
* / \ | |
* c | |
* / \ | |
*/ | |
tree.put('v', 0); | |
assert tree.root.key == 'v'; | |
assert tree.root.left.key == 'i'; | |
assert tree.root.left.left.key == 'c'; | |
assert tree.root.color == BLACK; | |
assert tree.root.left.color == RED; | |
assert tree.root.left.left.color == RED; | |
assert tree.root.right == null; | |
assert tree.root.left.right == null; | |
assert tree.root.left.left.right == null; | |
assert tree.root.left.left.left == null; | |
/* Last check, the four node must be split | |
* Try inserting something between i and v | |
* | |
* | |
* i | |
* / \ | |
* c v | |
* / \ / \ | |
* m | |
* / \ | |
*/ | |
tree.put('m', 0); | |
assert tree.root.key == 'i'; | |
assert tree.root.right.key == 'v'; | |
assert tree.root.left.key == 'c'; | |
assert tree.root.right.left.key == 'm'; | |
assert tree.root.color == BLACK; | |
assert tree.root.left.color == BLACK; | |
assert tree.root.right.color == BLACK; | |
assert tree.root.right.left.color == RED; | |
assert tree.root.left.left == null; | |
assert tree.root.left.right == null; | |
assert tree.root.right.left.left == null; | |
assert tree.root.right.left.right == null; | |
assert tree.root.right.right == null; | |
System.out.println("All good :)"); | |
System.out.println("Inorder iterate"); | |
for (RBTree<Character, Integer>.Entry<Character, Integer> entry: tree) { | |
System.out.print(entry.key().toString() + " "); | |
} | |
System.out.println(); | |
} | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment