Primitive-Collections/src/builder/resources/speiger/assets/collections/templates/sets/RBTreeSet.template

package speiger.src.collections.PACKAGE.sets;

import java.util.Collection;
#if TYPE_OBJECT
import java.util.Comparator;
import java.util.function.Consumer;
#endif
import java.util.Iterator;
import java.util.NoSuchElementException;
import java.util.Objects;
import speiger.src.collections.PACKAGE.collections.BI_ITERATOR;
#if !TYPE_OBJECT
import speiger.src.collections.PACKAGE.functions.COMPARATOR;
import speiger.src.collections.PACKAGE.functions.CONSUMER;
#endif
import speiger.src.collections.objects.functions.consumer.BI_FROM_OBJECT_CONSUMER;
import speiger.src.collections.PACKAGE.functions.function.PREDICATE;
import speiger.src.collections.PACKAGE.collections.COLLECTION;
import speiger.src.collections.PACKAGE.collections.ITERATOR;
import speiger.src.collections.PACKAGE.lists.LIST_ITERATOR;
#if !TYPE_OBJECT
import speiger.src.collections.PACKAGE.utils.ITERATORS;
#endif
import speiger.src.collections.utils.SanityChecks;

/**
 * A Simple Type Specific RB TreeSet implementation that reduces boxing/unboxing.
 * It is using a bit more memory then <a href="https://github.com/vigna/fastutil">FastUtil</a>,
 * but it saves a lot of Performance on the Optimized removal and iteration logic.
 * Which makes the implementation actually useable and does not get outperformed by Javas default implementation.
 * @Type(T)
 */
public class RB_TREE_SET KEY_GENERIC_TYPE extends ABSTRACT_SET KEY_GENERIC_TYPE implements NAVIGABLE_SET KEY_GENERIC_TYPE
{
	/** The center of the Tree */
	protected transient Entry KEY_GENERIC_TYPE tree;
	/** The Lowest possible Node */
	protected transient Entry KEY_GENERIC_TYPE first;
	/** The Highest possible Node */
	protected transient Entry KEY_GENERIC_TYPE last;
	/** The amount of elements stored in the Set */
	protected int size = 0;
	/** The Sorter of the Tree */
	protected transient COMPARATOR KEY_GENERIC_TYPE comparator;
#if !TYPE_OBJECT
	/** the default return value for max searches */
	protected KEY_TYPE defaultMaxNotFound = CLASS_TYPE.MIN_VALUE;
	/** the default return value for min searches */
	protected KEY_TYPE defaultMinNotFound = CLASS_TYPE.MAX_VALUE;
#endif
	
	/**
	 * Default Constructor
	 */
	public RB_TREE_SET() {
	}
	
	/**
	 * Constructor that allows to define the sorter
	 * @param comp the function that decides how the tree is sorted, can be null
	 */
	public RB_TREE_SET(COMPARATOR KEY_GENERIC_TYPE comp) {
		comparator = comp;
	}
	
	/**
	 * Helper constructor that allow to create a set from an array
	 * @param array the elements that should be used
	 */
	public RB_TREE_SET(KEY_TYPE[] array) {
		this(array, 0, array.length);
	}
	
	/**
	 * Helper constructor that allow to create a set from an array
	 * @param array the elements that should be used
	 * @param offset the starting index within the array
	 * @param length the amount of elements that are within the array
	 * @throws IllegalStateException if offset and length causes to step outside of the arrays range
	 */
	public RB_TREE_SET(KEY_TYPE[] array, int offset, int length) {
		SanityChecks.checkArrayCapacity(array.length, offset, length);
		for(int i = 0;i<length;i++) add(array[offset+i]);
	}
	
	/**
	 * Helper constructor that allow to create a set from an array
	 * @param array the elements that should be used
	 * @param comp the sorter of the tree, can be null
	 */
	public RB_TREE_SET(KEY_TYPE[] array, COMPARATOR KEY_GENERIC_TYPE comp) {
		this(array, 0, array.length, comp);
	}
	
	/**
	 * Helper constructor that allow to create a set from an array
	 * @param array the elements that should be used
	 * @param offset the starting index within the array
	 * @param length the amount of elements that are within the array
	 * @param comp the sorter of the tree, can be null
	 * @throws IllegalStateException if offset and length causes to step outside of the arrays range
	 */
	public RB_TREE_SET(KEY_TYPE[] array, int offset, int length, COMPARATOR KEY_GENERIC_TYPE comp) {
		comparator = comp;
		SanityChecks.checkArrayCapacity(array.length, offset, length);
		for(int i = 0;i<length;i++) add(array[offset+i]);
	}
	
	/**
	 * A Helper constructor that allows to create a Set with exactly the same values as the provided SortedSet.
	 * @param sortedSet the set the elements should be added to the TreeSet
	 * @note this also includes the Comparator if present
	 */
	public RB_TREE_SET(SORTED_SET KEY_GENERIC_TYPE sortedSet) {
		comparator = sortedSet.comparator();
		addAll(sortedSet);
	}
	
	/**
	 * A Helper constructor that allows to create a Set with exactly the same values as the provided collection.
	 * @param collection the set the elements should be added to the TreeSet
	 */
	@Primitive
	public RB_TREE_SET(Collection<? extends CLASS_TYPE> collection) {
		addAll(collection);
	}
	
	/**
	 * A Helper constructor that allows to create a Set with exactly the same values as the provided collection.
	 * @param collection the set the elements should be added to the TreeSet
	 * @param comp the sorter of the tree, can be null
	 */
	@Primitive
	public RB_TREE_SET(Collection<? extends CLASS_TYPE> collection, COMPARATOR KEY_GENERIC_TYPE comp) {
		comparator = comp;
		addAll(collection);
	}
	
	/**
	 * A Helper constructor that allows to create a Set with exactly the same values as the provided collection.
	 * @param collection the set the elements should be added to the TreeSet
	 */
	public RB_TREE_SET(COLLECTION KEY_GENERIC_TYPE collection) {
		addAll(collection);
	}
	
	/**
	 * A Helper constructor that allows to create a Set with exactly the same values as the provided collection.
	 * @param collection the set the elements should be added to the TreeSet
	 * @param comp the sorter of the tree, can be null
	 */
	public RB_TREE_SET(COLLECTION KEY_GENERIC_TYPE collection, COMPARATOR KEY_GENERIC_TYPE comp) {
		comparator = comp;
		addAll(collection);
	}
	
	/**
	 * A Helper constructor that allows to create a set from a iterator of an unknown size
	 * @param iterator the elements that should be added to the set
	 */
	public RB_TREE_SET(Iterator<CLASS_TYPE> iterator) {
#if !TYPE_OBJECT
		this(ITERATORS.wrap(iterator));
#else
		while(iterator.hasNext()) add(iterator.next());
#endif
	}
	
	/**
	 * A Helper constructor that allows to create a set from a iterator of an unknown size
	 * @param iterator the elements that should be added to the set
	 * @param comp the sorter of the tree, can be null
	 */
	public RB_TREE_SET(Iterator<CLASS_TYPE> iterator, COMPARATOR KEY_GENERIC_TYPE comp) {
#if !TYPE_OBJECT
		this(ITERATORS.wrap(iterator), comp);
#else
		comparator = comp;
		while(iterator.hasNext()) add(iterator.next());
#endif
	}
	
	/**
	 * A Helper constructor that allows to create a set from a iterator of an unknown size
	 * @param iterator the elements that should be added to the set
	 */
	public RB_TREE_SET(ITERATOR KEY_GENERIC_TYPE iterator) {
		while(iterator.hasNext()) add(iterator.NEXT());
	}
	
	/**
	 * A Helper constructor that allows to create a set from a iterator of an unknown size
	 * @param iterator the elements that should be added to the set
	 * @param comp the sorter of the tree, can be null
	 */
	public RB_TREE_SET(ITERATOR KEY_GENERIC_TYPE iterator, COMPARATOR KEY_GENERIC_TYPE comp) {
		comparator = comp;
		while(iterator.hasNext()) add(iterator.NEXT());
	}
	
#if !TYPE_OBJECT
	@Override
	public void setDefaultMaxValue(KEY_TYPE value) { defaultMaxNotFound = value; }
	@Override
	public KEY_TYPE getDefaultMaxValue() { return defaultMaxNotFound; }
	@Override
	public void setDefaultMinValue(KEY_TYPE value) { defaultMinNotFound = value; }
	@Override
	public KEY_TYPE getDefaultMinValue() { return defaultMinNotFound; }
	
#endif
	@Override
	public boolean add(KEY_TYPE o) {
		if(tree == null) {
			tree = first = last = new EntryBRACES(o, null);
			size++;
			return true;
		}
		int compare = 0;
		Entry KEY_GENERIC_TYPE parent = tree;
		while(true) {
			if((compare = compare(o, parent.key)) == 0) return false;
			if(compare < 0) {
				if(parent.left == null) break;
				parent = parent.left;
			}
			else if(compare > 0) {
				if(parent.right == null) break;
				parent = parent.right;
			}
		}
		Entry KEY_GENERIC_TYPE adding = new EntryBRACES(o, parent);
		if(compare < 0)  {
			parent.left = adding;
			if(parent == first)	first = adding;
		}
		else  {
			parent.right = adding;
			if(parent == last) last = adding;
		}
		fixAfterInsertion(adding);
		size++;
		return false;
	}
	
	@Override
	public boolean addAndMoveToFirst(KEY_TYPE o) { throw new UnsupportedOperationException(); }
	
	@Override
	public boolean addAndMoveToLast(KEY_TYPE o) { throw new UnsupportedOperationException(); }
	
	@Override
	public boolean moveToFirst(KEY_TYPE o) { throw new UnsupportedOperationException(); }
	
	@Override
	public boolean moveToLast(KEY_TYPE o) { throw new UnsupportedOperationException(); }

	@Override
	public KEY_TYPE lower(KEY_TYPE e) {
		Entry KEY_GENERIC_TYPE node = findLowerNode(e);
#if TYPE_OBJECT
		return node != null ? node.key : null;
#else
		return node != null ? node.key : defaultMinNotFound;
#endif
	}

	@Override
	public KEY_TYPE floor(KEY_TYPE e) {
		Entry KEY_GENERIC_TYPE node = findFloorNode(e);
#if TYPE_OBJECT
		return node != null ? node.key : null;
#else
		return node != null ? node.key : defaultMinNotFound;
#endif
	}
	
	@Override
	public KEY_TYPE higher(KEY_TYPE e) {
		Entry KEY_GENERIC_TYPE node = findHigherNode(e);
#if TYPE_OBJECT
		return node != null ? node.key : null;
#else
		return node != null ? node.key : defaultMaxNotFound;
#endif
	}

	@Override
	public KEY_TYPE ceiling(KEY_TYPE e) {
		Entry KEY_GENERIC_TYPE node = findCeilingNode(e);
#if TYPE_OBJECT
		return node != null ? node.key : null;
#else
		return node != null ? node.key : defaultMaxNotFound;
#endif
	}
	
	@Override
	public void forEach(CONSUMER KEY_SUPER_GENERIC_TYPE action) {
		Objects.requireNonNull(action);
		for(Entry KEY_GENERIC_TYPE entry = first;entry != null;entry = entry.next()) {
			action.accept(entry.key);
		}
	}
	
	@Override
	public <E> void forEach(E input, BI_FROM_OBJECT_CONSUMER KSK_GENERIC_TYPE<E> action) {
		Objects.requireNonNull(action);
		for(Entry KEY_GENERIC_TYPE entry = first;entry != null;entry = entry.next())
			action.accept(input, entry.key);		
	}
	
	@Override
	public boolean matchesAny(PREDICATE KEY_GENERIC_TYPE filter) {
		Objects.requireNonNull(filter);
		for(Entry KEY_GENERIC_TYPE entry = first;entry != null;entry = entry.next()) {
			if(filter.TEST_VALUE(entry.key)) return true;
		}
		return false;
	}
	
	@Override
	public boolean matchesNone(PREDICATE KEY_GENERIC_TYPE filter) {
		Objects.requireNonNull(filter);
		for(Entry KEY_GENERIC_TYPE entry = first;entry != null;entry = entry.next()) {
			if(filter.TEST_VALUE(entry.key)) return false;
		}
		return true;
	}
	
	@Override
	public boolean matchesAll(PREDICATE KEY_GENERIC_TYPE filter) {
		Objects.requireNonNull(filter);
		for(Entry KEY_GENERIC_TYPE entry = first;entry != null;entry = entry.next()) {
			if(!filter.TEST_VALUE(entry.key)) return false;
		}
		return true;
	}
	
	@Override
	public KEY_TYPE findFirst(PREDICATE KEY_GENERIC_TYPE filter) {
		Objects.requireNonNull(filter);
		for(Entry KEY_GENERIC_TYPE entry = first;entry != null;entry = entry.next()) {
			if(filter.TEST_VALUE(entry.key)) return entry.key;
		}
		return EMPTY_VALUE;
	}
	
	protected Entry KEY_GENERIC_TYPE findNode(KEY_TYPE o) {
		Entry KEY_GENERIC_TYPE node = tree;
		int compare;
		while(node != null) {
			if((compare = compare(o, node.key)) == 0) return node;
			if(compare < 0) node = node.left;
			else node = node.right;
		}
		return null;
	}
	
	protected Entry KEY_GENERIC_TYPE findLowerNode(KEY_TYPE e) {
		Entry KEY_GENERIC_TYPE entry = tree;
		while(entry != null) {
			if(compare(e, entry.key) > 0) {
				if(entry.right != null) entry = entry.right;
				else return entry;
			}
			else {
				if(entry.left != null) entry = entry.left;
				else {
					Entry KEY_GENERIC_TYPE parent = entry.parent;
					while(parent != null && parent.left == entry) {
						entry = parent;
						parent = parent.parent;
					}
					return parent;
				}
			}
		}
		return null;
	}
	
	protected Entry KEY_GENERIC_TYPE findFloorNode(KEY_TYPE e) {
		Entry KEY_GENERIC_TYPE entry = tree;
		int compare;
		while(entry != null) {
			if((compare = compare(e, entry.key)) > 0) {
				if(entry.right == null) break;
				entry = entry.right;
				continue;
			}
			else if(compare < 0) {
				if(entry.left != null) entry = entry.left;
				else {
					Entry KEY_GENERIC_TYPE parent = entry.parent;
					while(parent != null && parent.left == entry) {
						entry = parent;
						parent = parent.parent;
					}
					return parent;
				}
				continue;
			}
			break;
		}
		return entry;
	}
	
	protected Entry KEY_GENERIC_TYPE findCeilingNode(KEY_TYPE e) {
		Entry KEY_GENERIC_TYPE entry = tree;
		int compare;
		while(entry != null) {
			if((compare = compare(e, entry.key)) < 0) {
				if(entry.left == null) break;
				entry = entry.left;
				continue;
			}
			else if(compare > 0) {
				if(entry.right != null) entry = entry.right;
				else {
					Entry KEY_GENERIC_TYPE parent = entry.parent;
					while(parent != null && parent.right == entry) {
						entry = parent;
						parent = parent.parent;
					}
					return parent;
				}
				continue;
			}
			break;
		}
		return entry;
	}
	
	protected Entry KEY_GENERIC_TYPE findHigherNode(KEY_TYPE e) {
		Entry KEY_GENERIC_TYPE entry = tree;
		while(entry != null) {
			if(compare(e, entry.key) < 0) {
				if(entry.left != null) entry = entry.left;
				else return entry;
			}
			else {
				if(entry.right != null) entry = entry.right;
				else {
					Entry KEY_GENERIC_TYPE parent = entry.parent;
					while(parent != null && parent.right == entry) {
						entry = parent;
						parent = parent.parent;
					}
					return parent;
				}
			}
		}
		return null;
	}
	

	
#if !TYPE_OBJECT
	@Override
	public boolean contains(KEY_TYPE e) {
		return findNode(e) != null;
	}
	
#endif
	@Override
	public boolean contains(Object e) {
		return findNode(OBJ_TO_KEY(((CLASS_TYPE)e))) != null;
	}
	
	@Override
	public KEY_TYPE FIRST_KEY() {
		if(tree == null) throw new NoSuchElementException();
		return first.key;
	}
	
	@Override
	public KEY_TYPE LAST_KEY() {
		if(tree == null) throw new NoSuchElementException();
		return last.key;
	}
	
#if !TYPE_OBJECT
	@Override
	public boolean remove(KEY_TYPE o) {
		if(tree == null) return false;
		Entry KEY_GENERIC_TYPE entry = findNode(o);
		if(entry != null) {
			removeNode(entry);
			return true;
		}
		return false;
	}
	
#endif
	@Override
	public boolean remove(Object o) {
		if(tree == null) return false;
		Entry KEY_GENERIC_TYPE entry = findNode(OBJ_TO_KEY(((CLASS_TYPE)o)));
		if(entry != null) {
			removeNode(entry);
			return true;
		}
		return false;
	}
	
	@Override
	public KEY_TYPE POLL_FIRST_KEY() {
		if(tree == null) throw new NoSuchElementException();
		KEY_TYPE value = first.key;
		removeNode(first);
		return value;
	}
	
	@Override
	public KEY_TYPE POLL_LAST_KEY() {
		if(tree == null) throw new NoSuchElementException();
		KEY_TYPE value = last.key;
		removeNode(last);
		return value;
	}
	
	@Override
	public int size() { return size; }
	
	@Override
	public void clear() {
		size = 0;
		first = null;
		last = null;
		tree = null;
	}
	
	@Override
	public COMPARATOR KEY_GENERIC_TYPE comparator() { return comparator; }
	
	@Override
	public BI_ITERATOR KEY_GENERIC_TYPE iterator() { return new SetIterator(false); }
	
	@Override
	public BI_ITERATOR KEY_GENERIC_TYPE iterator(KEY_TYPE fromElement) {
		Entry KEY_GENERIC_TYPE entry = findNode(fromElement);
		return entry == null ? null : new SetIterator(entry);
	}
	
	@Override
	public BI_ITERATOR KEY_GENERIC_TYPE descendingIterator() { return new SetIterator(true); }
	
	@Override
	public NAVIGABLE_SET KEY_GENERIC_TYPE subSet(KEY_TYPE fromElement, boolean fromInclusive, KEY_TYPE toElement, boolean toInclusive) {
		return new AscendingSubSetBRACES(this, false, fromElement, fromInclusive, false, toElement, toInclusive);
	}

	@Override
	public NAVIGABLE_SET KEY_GENERIC_TYPE headSet(KEY_TYPE toElement, boolean inclusive) {
		return new AscendingSubSetBRACES(this, true, EMPTY_KEY_VALUE, true, false, toElement, inclusive);
	}

	@Override
	public NAVIGABLE_SET KEY_GENERIC_TYPE tailSet(KEY_TYPE fromElement, boolean inclusive) {
		return new AscendingSubSetBRACES(this, false, fromElement, inclusive, true, EMPTY_KEY_VALUE, true);
	}
	
	@Override
	public NAVIGABLE_SET KEY_GENERIC_TYPE descendingSet() {
		return new DescendingSubSetBRACES(this, true, EMPTY_KEY_VALUE, true, true, EMPTY_KEY_VALUE, true);
	}
	
	protected void removeNode(Entry KEY_GENERIC_TYPE entry) {
		size--;
		if(entry.needsSuccessor()) {
			Entry KEY_GENERIC_TYPE successor = entry.next();
			entry.key = successor.key;
			entry = successor;
		}
		Entry KEY_GENERIC_TYPE replacement = entry.left != null ? entry.left : entry.right;
		if(replacement != null) {
			if(entry.replace(replacement)) tree = replacement;
			if(entry == first) first = replacement;
			if(entry == last) last = entry.right != null ? entry.right : replacement;
			entry.left = entry.right = entry.parent = null;
			if(entry.isBlack()) fixAfterDeletion(replacement);
		}
		else if(entry.parent == null) tree = first = last = null;
		else {
			if(entry.isBlack())
				fixAfterDeletion(entry);
			entry.replace(null);
			if(entry.parent != null) {
				Entry KEY_GENERIC_TYPE parent = entry.parent;
				if(entry == first) first = parent.left != null ? parent.left : parent;
				if(entry == last) last = entry.right != null ? parent.right : parent;
			}
			entry.parent = null;
		}
	}
	
	protected int compare(KEY_TYPE k, KEY_TYPE v) { return comparator != null ? comparator.compare(k, v) : COMPAREABLE_TO_KEY(k, v);}
	protected static GENERIC_KEY_BRACES boolean isBlack(Entry KEY_GENERIC_TYPE p) { return p == null || p.isBlack(); }
	protected static GENERIC_KEY_BRACES Entry KEY_GENERIC_TYPE parentOf(Entry KEY_GENERIC_TYPE p) { return (p == null ? null : p.parent); }
	protected static GENERIC_KEY_BRACES void setBlack(Entry KEY_GENERIC_TYPE p, boolean c) { if(p != null) p.setBlack(c); }
	protected static GENERIC_KEY_BRACES Entry KEY_GENERIC_TYPE leftOf(Entry KEY_GENERIC_TYPE p) { return p == null ? null : p.left; }
	protected static GENERIC_KEY_BRACES Entry KEY_GENERIC_TYPE rightOf(Entry KEY_GENERIC_TYPE p) { return (p == null) ? null : p.right; }
	
	/** From CLR */
	protected void rotateLeft(Entry KEY_GENERIC_TYPE entry) {
		if(entry != null) {
			Entry KEY_GENERIC_TYPE right = entry.right;
			entry.right = right.left;
			if(right.left != null) right.left.parent = entry;
			right.parent = entry.parent;
			if(entry.parent == null) tree = right;
			else if(entry.parent.left == entry) entry.parent.left = right;
			else entry.parent.right = right;
			right.left = entry;
			entry.parent = right;
		}
	}
	
	/** From CLR */
	protected void rotateRight(Entry KEY_GENERIC_TYPE entry) {
		if(entry != null) {
			Entry KEY_GENERIC_TYPE left = entry.left;
			entry.left = left.right;
			if(left.right != null) left.right.parent = entry;
			left.parent = entry.parent;
			if(entry.parent == null) tree = left;
			else if(entry.parent.right == entry) entry.parent.right = left;
			else entry.parent.left = left;
			left.right = entry;
			entry.parent = left;
		}
	}
	
	/** From CLR */
	protected void fixAfterInsertion(Entry KEY_GENERIC_TYPE entry) {
		entry.setBlack(false);
		while(entry != null && entry != tree && !entry.parent.isBlack()) {
			if(parentOf(entry) == leftOf(parentOf(parentOf(entry)))) {
				Entry KEY_GENERIC_TYPE y = rightOf(parentOf(parentOf(entry)));
				if(!isBlack(y)) {
					setBlack(parentOf(entry), true);
					setBlack(y, true);
					setBlack(parentOf(parentOf(entry)), false);
					entry = parentOf(parentOf(entry));
				}
				else {
					if(entry == rightOf(parentOf(entry))) {
						entry = parentOf(entry);
						rotateLeft(entry);
					}
					setBlack(parentOf(entry), true);
					setBlack(parentOf(parentOf(entry)), false);
					rotateRight(parentOf(parentOf(entry)));
				}
			}
			else {
				Entry KEY_GENERIC_TYPE y = leftOf(parentOf(parentOf(entry)));
				if(!isBlack(y)) {
					setBlack(parentOf(entry), true);
					setBlack(y, true);
					setBlack(parentOf(parentOf(entry)), false);
					entry = parentOf(parentOf(entry));
				}
				else {
					if(entry == leftOf(parentOf(entry))) {
						entry = parentOf(entry);
						rotateRight(entry);
					}
					setBlack(parentOf(entry), true);
					setBlack(parentOf(parentOf(entry)), false);
					rotateLeft(parentOf(parentOf(entry)));
				}
			}
		}
		tree.setBlack(true);
	}
	
	/** From CLR */
	protected void fixAfterDeletion(Entry KEY_GENERIC_TYPE entry) {
		while(entry != tree && isBlack(entry)) {
			if(entry == leftOf(parentOf(entry))) {
				Entry KEY_GENERIC_TYPE sib = rightOf(parentOf(entry));
				if(!isBlack(sib)) {
					setBlack(sib, true);
					setBlack(parentOf(entry), false);
					rotateLeft(parentOf(entry));
					sib = rightOf(parentOf(entry));
				}
				if(isBlack(leftOf(sib)) && isBlack(rightOf(sib))) {
					setBlack(sib, false);
					entry = parentOf(entry);
				}
				else {
					if(isBlack(rightOf(sib))) {
						setBlack(leftOf(sib), true);
						setBlack(sib, false);
						rotateRight(sib);
						sib = rightOf(parentOf(entry));
					}
					setBlack(sib, isBlack(parentOf(entry)));
					setBlack(parentOf(entry), true);
					setBlack(rightOf(sib), true);
					rotateLeft(parentOf(entry));
					entry = tree;
				}
			}
			else {
				Entry KEY_GENERIC_TYPE sib = leftOf(parentOf(entry));
				if(!isBlack(sib)) {
					setBlack(sib, true);
					setBlack(parentOf(entry), false);
					rotateRight(parentOf(entry));
					sib = leftOf(parentOf(entry));
				}
				if(isBlack(rightOf(sib)) && isBlack(leftOf(sib))) {
					setBlack(sib, false);
					entry = parentOf(entry);
				}
				else {
					if(isBlack(leftOf(sib))) {
						setBlack(rightOf(sib), true);
						setBlack(sib, false);
						rotateLeft(sib);
						sib = leftOf(parentOf(entry));
					}
					setBlack(sib, isBlack(parentOf(entry)));
					setBlack(parentOf(entry), true);
					setBlack(leftOf(sib), true);
					rotateRight(parentOf(entry));
					entry = tree;
				}
			}
		}
		setBlack(entry, true);
	}
	
	private static class AscendingSubSet KEY_GENERIC_TYPE extends SubSet KEY_GENERIC_TYPE
	{
		AscendingSubSet(RB_TREE_SET KEY_GENERIC_TYPE set, boolean fromStart, KEY_TYPE start, boolean loInclusive, boolean toEnd, KEY_TYPE end, boolean hiInclusive) {
			super(set, fromStart, start, loInclusive, toEnd, end, hiInclusive);
		}
		
		@Override
		public NAVIGABLE_SET KEY_GENERIC_TYPE subSet(KEY_TYPE fromElement, boolean fromInclusive, KEY_TYPE toElement, boolean toInclusive) {
			if(!inRange(fromElement, fromInclusive)) throw new IllegalArgumentException("fromElement is not in Range");
			if(!inRange(toElement, toInclusive)) throw new IllegalArgumentException("toElement is not in Range");
			return new AscendingSubSetBRACES(set, false, fromElement, fromInclusive, false, toElement, toInclusive);
		}

		@Override
		public NAVIGABLE_SET KEY_GENERIC_TYPE headSet(KEY_TYPE toElement, boolean inclusive) {
			if(!inRange(toElement, inclusive)) throw new IllegalArgumentException("toElement is not in Range");
			return new AscendingSubSetBRACES(set, fromStart, start, loInclusive, false, toElement, inclusive);
		}

		@Override
		public NAVIGABLE_SET KEY_GENERIC_TYPE tailSet(KEY_TYPE fromElement, boolean inclusive) {
			if(!inRange(fromElement, inclusive)) throw new IllegalArgumentException("fromElement is not in Range");
			return new AscendingSubSetBRACES(set, false, fromElement, inclusive, toEnd, end, hiInclusive);
		}

		@Override
		public BI_ITERATOR KEY_GENERIC_TYPE iterator() { return new SubSetIterator(findLowest()); }
		
		@Override
		public BI_ITERATOR KEY_GENERIC_TYPE iterator(KEY_TYPE fromElement) {
			Entry KEY_GENERIC_TYPE entry = set.findNode(fromElement);
			return entry == null || !inClosedRange(fromElement) ? null : new SubSetIterator(entry);
		}
		
		@Override
		public BI_ITERATOR KEY_GENERIC_TYPE descendingIterator() { return new SubSetIterator(findHighest()); }

		@Override
		public NAVIGABLE_SET KEY_GENERIC_TYPE descendingSet() {
			return new DescendingSubSetBRACES(set, fromStart, start, loInclusive, toEnd, end, hiInclusive);
		}
	}
	
	private static class DescendingSubSet KEY_GENERIC_TYPE extends SubSet KEY_GENERIC_TYPE
	{
		COMPARATOR KEY_GENERIC_TYPE comparator;
		DescendingSubSet(RB_TREE_SET KEY_GENERIC_TYPE set, boolean fromStart, KEY_TYPE start, boolean loInclusive, boolean toEnd, KEY_TYPE end, boolean hiInclusive) {
			super(set, fromStart, start, loInclusive, toEnd, end, hiInclusive);
			comparator = set.comparator();
			if(comparator != null) comparator = comparator.reversed();
		}
		
		@Override
		public COMPARATOR KEY_GENERIC_TYPE comparator() { return comparator; }
		
		@Override
		public NAVIGABLE_SET KEY_GENERIC_TYPE subSet(KEY_TYPE fromElement, boolean fromInclusive, KEY_TYPE toElement, boolean toInclusive) {
			if(!inRange(fromElement, fromInclusive)) throw new IllegalArgumentException("fromElement is not in Range");
			if(!inRange(toElement, toInclusive)) throw new IllegalArgumentException("toElement is not in Range");
			return new DescendingSubSetBRACES(set, false, toElement, toInclusive, false, fromElement, fromInclusive);
		}

		@Override
		public NAVIGABLE_SET KEY_GENERIC_TYPE headSet(KEY_TYPE toElement, boolean inclusive) {
			if(!inRange(toElement, inclusive)) throw new IllegalArgumentException("toElement is not in Range");
			return new DescendingSubSetBRACES(set, false, toElement, inclusive, toEnd, end, hiInclusive);
		}

		@Override
		public NAVIGABLE_SET KEY_GENERIC_TYPE tailSet(KEY_TYPE fromElement, boolean inclusive) {
			if(!inRange(fromElement, inclusive)) throw new IllegalArgumentException("fromElement is not in Range");
			return new DescendingSubSetBRACES(set, fromStart, start, loInclusive, false, fromElement, inclusive);
		}
		
		protected Entry KEY_GENERIC_TYPE next(Entry KEY_GENERIC_TYPE entry) { return entry.previous(); }
		protected Entry KEY_GENERIC_TYPE start() { return findHighest(); }

		@Override
		public KEY_TYPE FIRST_KEY() { return super.LAST_KEY(); }
		
		@Override
		public KEY_TYPE POLL_FIRST_KEY() { return super.POLL_LAST_KEY(); }
		
		@Override
		public KEY_TYPE LAST_KEY() { return super.FIRST_KEY(); }
		
		@Override
		public KEY_TYPE POLL_LAST_KEY() { return super.POLL_FIRST_KEY(); }
		
		@Override
		public KEY_TYPE lower(KEY_TYPE e) { return super.higher(e); }

		@Override
		public KEY_TYPE floor(KEY_TYPE e) { return super.ceiling(e); }

		@Override
		public KEY_TYPE ceiling(KEY_TYPE e) { return super.floor(e); }

		@Override
		public KEY_TYPE higher(KEY_TYPE e) { return super.lower(e); }

		@Override
		public BI_ITERATOR KEY_GENERIC_TYPE iterator() { return new DescendingSubIterator(findHighest()); }
		
		@Override
		public BI_ITERATOR KEY_GENERIC_TYPE iterator(KEY_TYPE fromElement) { 
			Entry KEY_GENERIC_TYPE entry = set.findNode(fromElement);
			return entry == null || !inClosedRange(fromElement) ? null : new DescendingSubIterator(entry);
		}
		
		@Override
		public BI_ITERATOR KEY_GENERIC_TYPE descendingIterator() { return new DescendingSubIterator(findLowest()); }
		
		@Override
		public NAVIGABLE_SET KEY_GENERIC_TYPE descendingSet() {
			return new AscendingSubSetBRACES(set, fromStart, start, loInclusive, toEnd, end, hiInclusive);
		}
		
		private class DescendingSubIterator extends SubSetIterator
		{
			public DescendingSubIterator(Entry KEY_GENERIC_TYPE entry) {
				super(entry);
			}
			
			@Override
			protected void updateNext() {
				next = current.previous();
				if(!toEnd && next != null && bottomReached(next)) next = null;
			}
			
			@Override
			protected void updatePrevious() {
				previous = current.next();
				if(!fromStart && previous != null && topReached(previous)) previous = null;
			}
		}
	}
	
	private static abstract class SubSet KEY_GENERIC_TYPE extends ABSTRACT_SET KEY_GENERIC_TYPE implements NAVIGABLE_SET KEY_GENERIC_TYPE
	{
		RB_TREE_SET KEY_GENERIC_TYPE set;
		KEY_TYPE start;
		KEY_TYPE end;
		boolean fromStart;
		boolean toEnd;
		boolean loInclusive;
		boolean hiInclusive;
		
		SubSet(RB_TREE_SET KEY_GENERIC_TYPE set, boolean fromStart, KEY_TYPE start, boolean loInclusive, boolean toEnd, KEY_TYPE end, boolean hiInclusive) {
			this.set = set;
			this.start = start;
			this.end = end;
			this.fromStart = fromStart;
			this.toEnd = toEnd;
			this.loInclusive = loInclusive;
			this.hiInclusive = hiInclusive;
		}
		
#if !TYPE_OBJECT
		@Override
		public void setDefaultMaxValue(KEY_TYPE value) { set.setDefaultMaxValue(value); }
		
		@Override
		public KEY_TYPE getDefaultMaxValue() { return set.getDefaultMaxValue(); }
		
		@Override
		public void setDefaultMinValue(KEY_TYPE value) { set.setDefaultMinValue(value); }
		
		@Override
		public KEY_TYPE getDefaultMinValue() { return set.getDefaultMinValue(); }
		
#else
		public KEY_TYPE getDefaultMaxValue() { return null; }
		
		public KEY_TYPE getDefaultMinValue() { return null; }
		
#endif
		boolean tooLow(KEY_TYPE key) { return !fromStart && (loInclusive ? set.compare(key, start) < 0 : set.compare(key, start) <= 0); }
		boolean tooHigh(KEY_TYPE key) { return !toEnd && (hiInclusive ? set.compare(key, end) > 0 : set.compare(key, end) >= 0); }
		boolean inRange(KEY_TYPE key) { return !tooLow(key) && !tooHigh(key); }
		boolean inClosedRange(KEY_TYPE key) { return (fromStart || set.compare(key, start) >= 0) && (toEnd || set.compare(end, key) >= 0); }
		boolean inRange(KEY_TYPE key, boolean inclusive) { return inclusive ? inRange(key) : inClosedRange(key); }
		protected Entry KEY_GENERIC_TYPE next(Entry KEY_GENERIC_TYPE entry) { return entry.next(); }
		protected Entry KEY_GENERIC_TYPE start() { return findLowest(); }
		
		@Override
		public boolean addAndMoveToFirst(KEY_TYPE o) { throw new UnsupportedOperationException(); }
		
		@Override
		public boolean addAndMoveToLast(KEY_TYPE o) { throw new UnsupportedOperationException(); }

		@Override
		public boolean moveToFirst(KEY_TYPE o) { throw new UnsupportedOperationException(); }

		@Override
		public boolean moveToLast(KEY_TYPE o) { throw new UnsupportedOperationException(); }

		@Override
		public COMPARATOR KEY_GENERIC_TYPE comparator() { return set.comparator(); }
		
		@Override
		public abstract BI_ITERATOR KEY_GENERIC_TYPE iterator();
		
		@Override
		public KEY_TYPE FIRST_KEY() {
			Entry KEY_GENERIC_TYPE entry = findLowest();
			return entry == null ? getDefaultMaxValue() : entry.key;
		}
		
		protected Entry KEY_GENERIC_TYPE findLowest() {
			if(fromStart) return set.first;
			Entry KEY_GENERIC_TYPE entry = loInclusive ? set.findCeilingNode(start) : set.findHigherNode(start);
			return entry == null || tooHigh(entry.key) ? null : entry;
		}
		
		@Override
		public KEY_TYPE POLL_FIRST_KEY() {
			if(fromStart) return set.POLL_FIRST_KEY();
			Entry KEY_GENERIC_TYPE entry = loInclusive ? set.findCeilingNode(start) : set.findHigherNode(start);
			if(entry != null && !tooHigh(entry.key)) {
				KEY_TYPE value = entry.key;
				set.removeNode(entry);
				return value;
			}
			return getDefaultMaxValue();
		}

		@Override
		public KEY_TYPE LAST_KEY() {
			Entry KEY_GENERIC_TYPE entry = findHighest();
			return entry == null ? getDefaultMinValue() : entry.key;
		}
		
		protected Entry KEY_GENERIC_TYPE findHighest() {
			if(toEnd) return set.last;
			Entry KEY_GENERIC_TYPE entry = hiInclusive ? set.findFloorNode(end) : set.findLowerNode(end);
			return entry == null || tooLow(entry.key) ? null : entry;
		}

		@Override
		public KEY_TYPE POLL_LAST_KEY() {
			if(toEnd) return set.POLL_LAST_KEY();
			Entry KEY_GENERIC_TYPE entry = hiInclusive ? set.findFloorNode(end) : set.findLowerNode(end);
			if(entry != null && !tooLow(entry.key)) {
				KEY_TYPE value = entry.key;
				set.removeNode(entry);
				return value;
			}
			return getDefaultMinValue();
		}
		
		@Override
		public boolean add(KEY_TYPE o) {
			if(!inRange(o)) throw new IllegalArgumentException("Key is out of range");
			return set.add(o);
		}
		
#if !TYPE_OBJECT
		@Override
		public boolean contains(KEY_TYPE e) {
			return inRange(e) && set.contains(e);
		}
		
		@Override
		public boolean remove(KEY_TYPE o) {
			return inRange(o) && set.remove(o);
		}
		
#endif
		@Override
		public boolean contains(Object e) {
			KEY_TYPE o = OBJ_TO_KEY(((CLASS_TYPE)e));
			return inRange(o) && set.contains(o);
		}
	
		@Override
		public boolean remove(Object e) {
			KEY_TYPE o = OBJ_TO_KEY(((CLASS_TYPE)e));
			return inRange(o) && set.remove(o);
		}
		
		@Override
		public KEY_TYPE lower(KEY_TYPE e) {
			if(tooHigh(e)) {
				Entry KEY_GENERIC_TYPE entry = findHighest();
				return entry == null ? getDefaultMinValue() : entry.key;
			}
			Entry KEY_GENERIC_TYPE entry = set.findLowerNode(e);
			return entry == null || tooHigh(entry.key) ? getDefaultMaxValue() : entry.key;
		}

		@Override
		public KEY_TYPE floor(KEY_TYPE e) {
			if(tooHigh(e)) {
				Entry KEY_GENERIC_TYPE entry = findHighest();
				return entry == null ? getDefaultMinValue() : entry.key;
			}
			Entry KEY_GENERIC_TYPE entry = set.findFloorNode(e);
			return entry == null || tooHigh(entry.key) ? getDefaultMaxValue() : entry.key;
		}

		@Override
		public KEY_TYPE ceiling(KEY_TYPE e) {
			if(tooLow(e)) {
				Entry KEY_GENERIC_TYPE entry = findLowest();
				return entry == null ? getDefaultMaxValue() : entry.key;
			}
			Entry KEY_GENERIC_TYPE entry = set.findCeilingNode(e);
			return entry == null || tooLow(entry.key) ? getDefaultMinValue() : entry.key;
		}

		@Override
		public KEY_TYPE higher(KEY_TYPE e) {
			if(tooLow(e)) {
				Entry KEY_GENERIC_TYPE entry = findLowest();
				return entry == null ? getDefaultMaxValue() : entry.key;
			}
			Entry KEY_GENERIC_TYPE entry = set.findHigherNode(e);
			return entry == null || tooLow(entry.key) ? getDefaultMinValue() : entry.key;
		}
		
		@Override
		public int size() {
			return fromStart && toEnd ? set.size() : iterator().skip(Integer.MAX_VALUE);
		}
		
		@Override
		public void forEach(CONSUMER KEY_SUPER_GENERIC_TYPE action) {
			Objects.requireNonNull(action);
			for(Entry KEY_GENERIC_TYPE entry = start();entry != null && inRange(entry.key);entry = next(entry)) {
				action.accept(entry.key);
			}
		}
		
		@Override
		public <E> void forEach(E input, BI_FROM_OBJECT_CONSUMER KSK_GENERIC_TYPE<E> action) {
			Objects.requireNonNull(action);
			for(Entry KEY_GENERIC_TYPE entry = start();entry != null && inRange(entry.key);entry = next(entry))
				action.accept(input, entry.key);		
		}
		
		@Override
		public boolean matchesAny(PREDICATE KEY_GENERIC_TYPE filter) {
			Objects.requireNonNull(filter);
			for(Entry KEY_GENERIC_TYPE entry = start();entry != null && inRange(entry.key);entry = next(entry)) {
				if(filter.TEST_VALUE(entry.key)) return true;
			}
			return false;
		}
		
		@Override
		public boolean matchesNone(PREDICATE KEY_GENERIC_TYPE filter) {
			Objects.requireNonNull(filter);
			for(Entry KEY_GENERIC_TYPE entry = start();entry != null && inRange(entry.key);entry = next(entry)) {
				if(filter.TEST_VALUE(entry.key)) return false;
			}
			return true;
		}
		
		@Override
		public boolean matchesAll(PREDICATE KEY_GENERIC_TYPE filter) {
			Objects.requireNonNull(filter);
			for(Entry KEY_GENERIC_TYPE entry = start();entry != null && inRange(entry.key);entry = next(entry)) {
				if(!filter.TEST_VALUE(entry.key)) return false;
			}
			return true;
		}
		
		@Override
		public KEY_TYPE findFirst(PREDICATE KEY_GENERIC_TYPE filter) {
			Objects.requireNonNull(filter);
			for(Entry KEY_GENERIC_TYPE entry = start();entry != null && inRange(entry.key);entry = next(entry)) {
				if(filter.TEST_VALUE(entry.key)) return entry.key;
			}
			return EMPTY_VALUE;
		}
		
		class SubSetIterator implements LIST_ITERATOR KEY_GENERIC_TYPE
		{
			Entry KEY_GENERIC_TYPE previous;
			Entry KEY_GENERIC_TYPE next;
			Entry KEY_GENERIC_TYPE current;
			int index = 0;
			
			public SubSetIterator(Entry KEY_GENERIC_TYPE entry) {
				next = entry;
				previous = entry == null ? null : entry.previous();
			}
			
			@Override
			public boolean hasNext() {
				return next != null;
			}
			
			@Override
			public boolean hasPrevious() {
				return previous != null;
			}
			
			@Override
			public int nextIndex() {
				return index;
			}
			
			@Override
			public int previousIndex() {
				return index - 1;
			}
			
			boolean topReached(Entry KEY_GENERIC_TYPE entry) {
				return hiInclusive ? set.compare(entry.key, end) >= 0 : set.compare(entry.key, end) > 0;
			}
			
			boolean bottomReached(Entry KEY_GENERIC_TYPE entry) {
				return loInclusive ? set.compare(entry.key, start) <= 0 : set.compare(entry.key, start) < 0;
			}
			
			protected void updateNext() {
				next = current.next();
				if(!toEnd && next != null && topReached(next)) next = null;
			}
			
			protected void updatePrevious() {
				previous = current.previous();
				if(!fromStart && previous != null && bottomReached(previous)) previous = null;
			}
			
			@Override
			public KEY_TYPE NEXT() {
				if(!hasNext()) throw new NoSuchElementException();
				current = previous = next;
				updateNext();
				index++;
				return current.key;
			}
			
			@Override
			public KEY_TYPE PREVIOUS() {
				if(!hasPrevious()) throw new NoSuchElementException();
				current = next = previous;
				updatePrevious();
				index--;
				return current.key;
			}
			
			@Override
			public void remove() {
				if(current == null) throw new IllegalStateException();
				if(current == previous) index--;
				updateNext();
				updatePrevious();
				if(current.needsSuccessor()) next = current;
				set.removeNode(current);
				current = null;
			}
			
			@Override
			public void set(KEY_TYPE e){ throw new UnsupportedOperationException(); }
			
			@Override
			public void add(KEY_TYPE e) { throw new UnsupportedOperationException(); }
		}
	}
	
	private class SetIterator implements LIST_ITERATOR KEY_GENERIC_TYPE
	{
		Entry KEY_GENERIC_TYPE previous;
		Entry KEY_GENERIC_TYPE next;
		Entry KEY_GENERIC_TYPE current;
		int index = 0;
		 
		public SetIterator(boolean descending) {
			if(descending) previous = last;
			else next = first;
		}
		
		public SetIterator(Entry KEY_GENERIC_TYPE entry) {
			next = entry;
			previous = entry.previous();
		}
		
		@Override
		public boolean hasNext() {
			return next != null;
		}
		
		@Override
		public boolean hasPrevious() {
			return previous != null;
		}
		
		@Override
		public int nextIndex() {
			return index;
		}
		
		@Override
		public int previousIndex() {
			return index - 1;
		}
		
		protected void updateNext() {
			next = current.next();
		}
		
		protected void updatePrevious() {
			previous = current.previous();
		}
		
		@Override
		public KEY_TYPE NEXT() {
			if(!hasNext()) throw new NoSuchElementException();
			current = previous = next;
			updateNext();
			index++;
			return current.key;
		}
		
		@Override
		public KEY_TYPE PREVIOUS() {
			if(!hasPrevious()) throw new NoSuchElementException();
			current = next = previous;
			updatePrevious();
			index--;
			return current.key;
		}
		
		@Override
		public void remove() {
			if(current == null) throw new IllegalStateException();
			if(current == previous) index--;
			updateNext();
			updatePrevious();
			if(current.needsSuccessor()) next = current;
			removeNode(current);
			current = null;
		}
				
		@Override
		public void set(KEY_TYPE e){ throw new UnsupportedOperationException(); }
		
		@Override
		public void add(KEY_TYPE e) { throw new UnsupportedOperationException(); }
	}
	
	private static final class Entry KEY_GENERIC_TYPE
	{
		static final int BLACK = 1;
		
		KEY_TYPE key;
		int state;
		Entry KEY_GENERIC_TYPE parent;
		Entry KEY_GENERIC_TYPE left;
		Entry KEY_GENERIC_TYPE right;
		
		Entry(KEY_TYPE key, Entry KEY_GENERIC_TYPE parent) {
			this.key = key;
			this.parent = parent;
		}
		
		boolean isBlack() {
			return (state & BLACK) != 0;
		}
		
		void setBlack(boolean value) {
			if(value) state |= BLACK;
			else state &= ~BLACK;
		}
		
		boolean needsSuccessor() { return left != null && right != null; }
		
		boolean replace(Entry KEY_GENERIC_TYPE entry) {
			if(entry != null) entry.parent = parent;
			if(parent != null) {
				if(parent.left == this) parent.left = entry;
				else parent.right = entry;
			}
			return parent == null;
		}
		
		Entry KEY_GENERIC_TYPE next() {
			if(right != null) {
				Entry KEY_GENERIC_TYPE parent = right;
				while(parent.left != null) parent = parent.left;
				return parent;
			}
			Entry KEY_GENERIC_TYPE parent = this.parent;
			Entry KEY_GENERIC_TYPE control = this;
			while(parent != null && control == parent.right) {
				control = parent;
				parent = parent.parent;
			}
			return parent;
		}
		
		Entry KEY_GENERIC_TYPE previous() {
			if(left != null) {
				Entry KEY_GENERIC_TYPE parent = left;
				while(parent.right != null) parent = parent.right;
				return parent;
			}
			Entry KEY_GENERIC_TYPE parent = this.parent;
			Entry KEY_GENERIC_TYPE control = this;
			while(parent != null && control == parent.left) {
				control = parent;
				parent = parent.parent;
			}
			return parent;
		}
	}
}