/* * %W% %E% * * Copyright 2005 Sun Microsystems, Inc. All rights reserved. * SUN PROPRIETARY/CONFIDENTIAL. Use is subject to license terms. */ package java.util; import java.util.*; // for javadoc (till 6280605 is fixed) /** * A Red-Black tree based {@link NavigableMap} implementation. * The map is sorted according to the {@linkplain Comparable natural * ordering} of its keys, or by a {@link Comparator} provided at map * creation time, depending on which constructor is used. * *

This implementation provides guaranteed log(n) time cost for the * containsKey, get, put and remove * operations. Algorithms are adaptations of those in Cormen, Leiserson, and * Rivest's Introduction to Algorithms. * *

Note that the ordering maintained by a sorted map (whether or not an * explicit comparator is provided) must be consistent with equals if * this sorted map is to correctly implement the Map interface. (See * Comparable or Comparator for a precise definition of * consistent with equals.) This is so because the Map * interface is defined in terms of the equals operation, but a map performs * all key comparisons using its compareTo (or compare) * method, so two keys that are deemed equal by this method are, from the * standpoint of the sorted map, equal. The behavior of a sorted map * is well-defined even if its ordering is inconsistent with equals; it * just fails to obey the general contract of the Map interface. * *

Note that this implementation is not synchronized. * If multiple threads access a map concurrently, and at least one of the * threads modifies the map structurally, it must be synchronized * externally. (A structural modification is any operation that adds or * deletes one or more mappings; merely changing the value associated * with an existing key is not a structural modification.) This is * typically accomplished by synchronizing on some object that naturally * encapsulates the map. * If no such object exists, the map should be "wrapped" using the * {@link Collections#synchronizedSortedMap Collections.synchronizedSortedMap} * method. This is best done at creation time, to prevent accidental * unsynchronized access to the map:

 *   SortedMap m = Collections.synchronizedSortedMap(new TreeMap(...));
* *

The iterators returned by the iterator method of the collections * returned by all of this class's "collection view methods" are * fail-fast: if the map is structurally modified at any time after the * iterator is created, in any way except through the iterator's own * remove method, the iterator will throw a {@link * ConcurrentModificationException}. Thus, in the face of concurrent * modification, the iterator fails quickly and cleanly, rather than risking * arbitrary, non-deterministic behavior at an undetermined time in the future. * *

Note that the fail-fast behavior of an iterator cannot be guaranteed * as it is, generally speaking, impossible to make any hard guarantees in the * presence of unsynchronized concurrent modification. Fail-fast iterators * throw ConcurrentModificationException on a best-effort basis. * Therefore, it would be wrong to write a program that depended on this * exception for its correctness: the fail-fast behavior of iterators * should be used only to detect bugs. * *

All Map.Entry pairs returned by methods in this class * and its views represent snapshots of mappings at the time they were * produced. They do not support the Entry.setValue * method. (Note however that it is possible to change mappings in the * associated map using put.) * *

This class is a member of the * * Java Collections Framework. * * @param the type of keys maintained by this map * @param the type of mapped values * * @author Josh Bloch and Doug Lea * @version %I%, %G% * @see Map * @see HashMap * @see Hashtable * @see Comparable * @see Comparator * @see Collection * @since 1.2 */ public class TreeMap extends AbstractMap implements NavigableMap, Cloneable, java.io.Serializable { /** * The comparator used to maintain order in this tree map, or * null if it uses the natural ordering of its keys. * * @serial */ private Comparator comparator = null; private transient Entry root = null; /** * The number of entries in the tree */ private transient int size = 0; /** * The number of structural modifications to the tree. */ private transient int modCount = 0; private void incrementSize() { modCount++; size++; } private void decrementSize() { modCount++; size--; } /** * Constructs a new, empty tree map, using the natural ordering of its * keys. All keys inserted into the map must implement the {@link * Comparable} interface. Furthermore, all such keys must be * mutually comparable: k1.compareTo(k2) must not throw * a ClassCastException for any keys k1 and * k2 in the map. If the user attempts to put a key into the * map that violates this constraint (for example, the user attempts to * put a string key into a map whose keys are integers), the * put(Object key, Object value) call will throw a * ClassCastException. */ public TreeMap() { } /** * Constructs a new, empty tree map, ordered according to the given * comparator. All keys inserted into the map must be mutually * comparable by the given comparator: comparator.compare(k1, * k2) must not throw a ClassCastException for any keys * k1 and k2 in the map. If the user attempts to put * a key into the map that violates this constraint, the put(Object * key, Object value) call will throw a * ClassCastException. * * @param comparator the comparator that will be used to order this map. * If null, the {@linkplain Comparable natural * ordering} of the keys will be used. */ public TreeMap(Comparator comparator) { this.comparator = comparator; } /** * Constructs a new tree map containing the same mappings as the given * map, ordered according to the natural ordering of its keys. * All keys inserted into the new map must implement the {@link * Comparable} interface. Furthermore, all such keys must be * mutually comparable: k1.compareTo(k2) must not throw * a ClassCastException for any keys k1 and * k2 in the map. This method runs in n*log(n) time. * * @param m the map whose mappings are to be placed in this map * @throws ClassCastException if the keys in m are not {@link Comparable}, * or are not mutually comparable * @throws NullPointerException if the specified map is null */ public TreeMap(Map m) { putAll(m); } /** * Constructs a new tree map containing the same mappings and * using the same ordering as the specified sorted map. This * method runs in linear time. * * @param m the sorted map whose mappings are to be placed in this map, * and whose comparator is to be used to sort this map * @throws NullPointerException if the specified map is null */ public TreeMap(SortedMap m) { comparator = m.comparator(); try { buildFromSorted(m.size(), m.entrySet().iterator(), null, null); } catch (java.io.IOException cannotHappen) { } catch (ClassNotFoundException cannotHappen) { } } // Query Operations /** * Returns the number of key-value mappings in this map. * * @return the number of key-value mappings in this map */ public int size() { return size; } /** * Returns true if this map contains a mapping for the specified * key. * * @param key key whose presence in this map is to be tested * @return true if this map contains a mapping for the * specified key * @throws ClassCastException if the specified key cannot be compared * with the keys currently in the map * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys */ public boolean containsKey(Object key) { return getEntry(key) != null; } /** * Returns true if this map maps one or more keys to the * specified value. More formally, returns true if and only if * this map contains at least one mapping to a value v such * that (value==null ? v==null : value.equals(v)). This * operation will probably require time linear in the map size for * most implementations. * * @param value value whose presence in this map is to be tested * @return true if a mapping to value exists; * false otherwise * @since 1.2 */ public boolean containsValue(Object value) { return (root==null ? false : (value==null ? valueSearchNull(root) : valueSearchNonNull(root, value))); } private boolean valueSearchNull(Entry n) { if (n.value == null) return true; // Check left and right subtrees for value return (n.left != null && valueSearchNull(n.left)) || (n.right != null && valueSearchNull(n.right)); } private boolean valueSearchNonNull(Entry n, Object value) { // Check this node for the value if (value.equals(n.value)) return true; // Check left and right subtrees for value return (n.left != null && valueSearchNonNull(n.left, value)) || (n.right != null && valueSearchNonNull(n.right, value)); } /** * Returns the value to which the specified key is mapped, * or {@code null} if this map contains no mapping for the key. * *

More formally, if this map contains a mapping from a key * {@code k} to a value {@code v} such that {@code key} compares * equal to {@code k} according to the map's ordering, then this * method returns {@code v}; otherwise it returns {@code null}. * (There can be at most one such mapping.) * *

A return value of {@code null} does not necessarily * indicate that the map contains no mapping for the key; it's also * possible that the map explicitly maps the key to {@code null}. * The {@link #containsKey containsKey} operation may be used to * distinguish these two cases. * * @throws ClassCastException if the specified key cannot be compared * with the keys currently in the map * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys */ public V get(Object key) { Entry p = getEntry(key); return (p==null ? null : p.value); } public Comparator comparator() { return comparator; } /** * @throws NoSuchElementException {@inheritDoc} */ public K firstKey() { return key(getFirstEntry()); } /** * @throws NoSuchElementException {@inheritDoc} */ public K lastKey() { return key(getLastEntry()); } /** * Copies all of the mappings from the specified map to this map. * These mappings replace any mappings that this map had for any * of the keys currently in the specified map. * * @param map mappings to be stored in this map * @throws ClassCastException if the class of a key or value in * the specified map prevents it from being stored in this map * @throws NullPointerException if the specified map is null or * the specified map contains a null key and this map does not * permit null keys */ public void putAll(Map map) { int mapSize = map.size(); if (size==0 && mapSize!=0 && map instanceof SortedMap) { Comparator c = ((SortedMap)map).comparator(); if (c == comparator || (c != null && c.equals(comparator))) { ++modCount; try { buildFromSorted(mapSize, map.entrySet().iterator(), null, null); } catch (java.io.IOException cannotHappen) { } catch (ClassNotFoundException cannotHappen) { } return; } } super.putAll(map); } /** * Returns this map's entry for the given key, or null if the map * does not contain an entry for the key. * * @return this map's entry for the given key, or null if the map * does not contain an entry for the key * @throws ClassCastException if the specified key cannot be compared * with the keys currently in the map * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys */ private Entry getEntry(Object key) { // Offload comparator-based version for sake of performance if (comparator != null) return getEntryUsingComparator(key); Comparable k = (Comparable) key; Entry p = root; while (p != null) { int cmp = k.compareTo(p.key); if (cmp < 0) p = p.left; else if (cmp > 0) p = p.right; else return p; } return null; } /** * Version of getEntry using comparator. Split off from getEntry * for performance. (This is not worth doing for most methods, * that are less dependent on comparator performance, but is * worthwhile here.) */ private Entry getEntryUsingComparator(Object key) { K k = (K) key; Comparator cpr = comparator; Entry p = root; while (p != null) { int cmp = cpr.compare(k, p.key); if (cmp < 0) p = p.left; else if (cmp > 0) p = p.right; else return p; } return null; } /** * Gets the entry corresponding to the specified key; if no such entry * exists, returns the entry for the least key greater than the specified * key; if no such entry exists (i.e., the greatest key in the Tree is less * than the specified key), returns null. */ private Entry getCeilingEntry(K key) { Entry p = root; if (p==null) return null; while (true) { int cmp = compare(key, p.key); if (cmp < 0) { if (p.left != null) p = p.left; else return p; } else if (cmp > 0) { if (p.right != null) { p = p.right; } else { Entry parent = p.parent; Entry ch = p; while (parent != null && ch == parent.right) { ch = parent; parent = parent.parent; } return parent; } } else return p; } } /** * Gets the entry corresponding to the specified key; if no such entry * exists, returns the entry for the greatest key less than the specified * key; if no such entry exists, returns null. */ private Entry getFloorEntry(K key) { Entry p = root; if (p==null) return null; while (true) { int cmp = compare(key, p.key); if (cmp > 0) { if (p.right != null) p = p.right; else return p; } else if (cmp < 0) { if (p.left != null) { p = p.left; } else { Entry parent = p.parent; Entry ch = p; while (parent != null && ch == parent.left) { ch = parent; parent = parent.parent; } return parent; } } else return p; } } /** * Gets the entry for the least key greater than the specified * key; if no such entry exists, returns the entry for the least * key greater than the specified key; if no such entry exists * returns null. */ private Entry getHigherEntry(K key) { Entry p = root; if (p==null) return null; while (true) { int cmp = compare(key, p.key); if (cmp < 0) { if (p.left != null) p = p.left; else return p; } else { if (p.right != null) { p = p.right; } else { Entry parent = p.parent; Entry ch = p; while (parent != null && ch == parent.right) { ch = parent; parent = parent.parent; } return parent; } } } } /** * Returns the entry for the greatest key less than the specified key; if * no such entry exists (i.e., the least key in the Tree is greater than * the specified key), returns null. */ private Entry getLowerEntry(K key) { Entry p = root; if (p==null) return null; while (true) { int cmp = compare(key, p.key); if (cmp > 0) { if (p.right != null) p = p.right; else return p; } else { if (p.left != null) { p = p.left; } else { Entry parent = p.parent; Entry ch = p; while (parent != null && ch == parent.left) { ch = parent; parent = parent.parent; } return parent; } } } } /** * Returns the key corresponding to the specified Entry. * @throws NoSuchElementException if the Entry is null */ private static K key(Entry e) { if (e==null) throw new NoSuchElementException(); return e.key; } /** * Associates the specified value with the specified key in this map. * If the map previously contained a mapping for the key, the old * value is replaced. * * @param key key with which the specified value is to be associated * @param value value to be associated with the specified key * * @return the previous value associated with key, or * null if there was no mapping for key. * (A null return can also indicate that the map * previously associated null with key.) * @throws ClassCastException if the specified key cannot be compared * with the keys currently in the map * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys */ public V put(K key, V value) { Entry t = root; if (t == null) { // TBD // if (key == null) { // if (comparator == null) // throw new NullPointerException(); // comparator.compare(key, key); // } incrementSize(); root = new Entry(key, value, null); return null; } while (true) { int cmp = compare(key, t.key); if (cmp == 0) { return t.setValue(value); } else if (cmp < 0) { if (t.left != null) { t = t.left; } else { incrementSize(); t.left = new Entry(key, value, t); fixAfterInsertion(t.left); return null; } } else { // cmp > 0 if (t.right != null) { t = t.right; } else { incrementSize(); t.right = new Entry(key, value, t); fixAfterInsertion(t.right); return null; } } } } /** * Removes the mapping for this key from this TreeMap if present. * * @param key key for which mapping should be removed * @return the previous value associated with key, or * null if there was no mapping for key. * (A null return can also indicate that the map * previously associated null with key.) * @throws ClassCastException if the specified key cannot be compared * with the keys currently in the map * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys */ public V remove(Object key) { Entry p = getEntry(key); if (p == null) return null; V oldValue = p.value; deleteEntry(p); return oldValue; } /** * Removes all of the mappings from this map. * The map will be empty after this call returns. */ public void clear() { modCount++; size = 0; root = null; } /** * Returns a shallow copy of this TreeMap instance. (The keys and * values themselves are not cloned.) * * @return a shallow copy of this map */ public Object clone() { TreeMap clone = null; try { clone = (TreeMap) super.clone(); } catch (CloneNotSupportedException e) { throw new InternalError(); } // Put clone into "virgin" state (except for comparator) clone.root = null; clone.size = 0; clone.modCount = 0; clone.entrySet = null; clone.descendingEntrySet = null; clone.descendingKeySet = null; // Initialize clone with our mappings try { clone.buildFromSorted(size, entrySet().iterator(), null, null); } catch (java.io.IOException cannotHappen) { } catch (ClassNotFoundException cannotHappen) { } return clone; } // NavigableMap API methods /** * @since 1.6 */ public Map.Entry firstEntry() { Entry e = getFirstEntry(); return (e == null)? null : new AbstractMap.SimpleImmutableEntry(e); } /** * @since 1.6 */ public Map.Entry lastEntry() { Entry e = getLastEntry(); return (e == null)? null : new AbstractMap.SimpleImmutableEntry(e); } /** * @since 1.6 */ public Map.Entry pollFirstEntry() { Entry p = getFirstEntry(); if (p == null) return null; Map.Entry result = new AbstractMap.SimpleImmutableEntry(p); deleteEntry(p); return result; } /** * @since 1.6 */ public Map.Entry pollLastEntry() { Entry p = getLastEntry(); if (p == null) return null; Map.Entry result = new AbstractMap.SimpleImmutableEntry(p); deleteEntry(p); return result; } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys * @since 1.6 */ public Map.Entry lowerEntry(K key) { Entry e = getLowerEntry(key); return (e == null)? null : new AbstractMap.SimpleImmutableEntry(e); } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys * @since 1.6 */ public K lowerKey(K key) { Entry e = getLowerEntry(key); return (e == null)? null : e.key; } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys * @since 1.6 */ public Map.Entry floorEntry(K key) { Entry e = getFloorEntry(key); return (e == null)? null : new AbstractMap.SimpleImmutableEntry(e); } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys * @since 1.6 */ public K floorKey(K key) { Entry e = getFloorEntry(key); return (e == null)? null : e.key; } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys * @since 1.6 */ public Map.Entry ceilingEntry(K key) { Entry e = getCeilingEntry(key); return (e == null)? null : new AbstractMap.SimpleImmutableEntry(e); } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys * @since 1.6 */ public K ceilingKey(K key) { Entry e = getCeilingEntry(key); return (e == null)? null : e.key; } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys * @since 1.6 */ public Map.Entry higherEntry(K key) { Entry e = getHigherEntry(key); return (e == null)? null : new AbstractMap.SimpleImmutableEntry(e); } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if the specified key is null * and this map uses natural ordering, or its comparator * does not permit null keys * @since 1.6 */ public K higherKey(K key) { Entry e = getHigherEntry(key); return (e == null)? null : e.key; } // Views /** * Fields initialized to contain an instance of the entry set view * the first time this view is requested. Views are stateless, so * there's no reason to create more than one. */ private transient Set> entrySet = null; private transient Set> descendingEntrySet = null; private transient Set descendingKeySet = null; /** * Returns a {@link Set} view of the keys contained in this map. * The set's iterator returns the keys in ascending order. * The set is backed by the map, so changes to the map are * reflected in the set, and vice-versa. If the map is modified * while an iteration over the set is in progress (except through * the iterator's own remove operation), the results of * the iteration are undefined. The set supports element removal, * which removes the corresponding mapping from the map, via the * Iterator.remove, Set.remove, * removeAll, retainAll, and clear * operations. It does not support the add or addAll * operations. */ public Set keySet() { Set ks = keySet; return (ks != null) ? ks : (keySet = new KeySet()); } class KeySet extends AbstractSet { public Iterator iterator() { return new KeyIterator(getFirstEntry()); } public int size() { return TreeMap.this.size(); } public boolean contains(Object o) { return containsKey(o); } public boolean remove(Object o) { int oldSize = size; TreeMap.this.remove(o); return size != oldSize; } public void clear() { TreeMap.this.clear(); } } /** * Returns a {@link Collection} view of the values contained in this map. * The collection's iterator returns the values in ascending order * of the corresponding keys. * The collection is backed by the map, so changes to the map are * reflected in the collection, and vice-versa. If the map is * modified while an iteration over the collection is in progress * (except through the iterator's own remove operation), * the results of the iteration are undefined. The collection * supports element removal, which removes the corresponding * mapping from the map, via the Iterator.remove, * Collection.remove, removeAll, * retainAll and clear operations. It does not * support the add or addAll operations. */ public Collection values() { Collection vs = values; return (vs != null) ? vs : (values = new Values()); } class Values extends AbstractCollection { public Iterator iterator() { return new ValueIterator(getFirstEntry()); } public int size() { return TreeMap.this.size(); } public boolean contains(Object o) { for (Entry e = getFirstEntry(); e != null; e = successor(e)) if (valEquals(e.getValue(), o)) return true; return false; } public boolean remove(Object o) { for (Entry e = getFirstEntry(); e != null; e = successor(e)) { if (valEquals(e.getValue(), o)) { deleteEntry(e); return true; } } return false; } public void clear() { TreeMap.this.clear(); } } /** * Returns a {@link Set} view of the mappings contained in this map. * The set's iterator returns the entries in ascending key order. * The set is backed by the map, so changes to the map are * reflected in the set, and vice-versa. If the map is modified * while an iteration over the set is in progress (except through * the iterator's own remove operation, or through the * setValue operation on a map entry returned by the * iterator) the results of the iteration are undefined. The set * supports element removal, which removes the corresponding * mapping from the map, via the Iterator.remove, * Set.remove, removeAll, retainAll and * clear operations. It does not support the * add or addAll operations. */ public Set> entrySet() { Set> es = entrySet; return (es != null) ? es : (entrySet = new EntrySet()); } class EntrySet extends AbstractSet> { public Iterator> iterator() { return new EntryIterator(getFirstEntry()); } public boolean contains(Object o) { if (!(o instanceof Map.Entry)) return false; Map.Entry entry = (Map.Entry) o; V value = entry.getValue(); Entry p = getEntry(entry.getKey()); return p != null && valEquals(p.getValue(), value); } public boolean remove(Object o) { if (!(o instanceof Map.Entry)) return false; Map.Entry entry = (Map.Entry) o; V value = entry.getValue(); Entry p = getEntry(entry.getKey()); if (p != null && valEquals(p.getValue(), value)) { deleteEntry(p); return true; } return false; } public int size() { return TreeMap.this.size(); } public void clear() { TreeMap.this.clear(); } } /** * @since 1.6 */ public Set> descendingEntrySet() { Set> es = descendingEntrySet; return (es != null) ? es : (descendingEntrySet = new DescendingEntrySet()); } class DescendingEntrySet extends EntrySet { public Iterator> iterator() { return new DescendingEntryIterator(getLastEntry()); } } /** * @since 1.6 */ public Set descendingKeySet() { Set ks = descendingKeySet; return (ks != null) ? ks : (descendingKeySet = new DescendingKeySet()); } class DescendingKeySet extends KeySet { public Iterator iterator() { return new DescendingKeyIterator(getLastEntry()); } } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if fromKey or toKey is * null and this map uses natural ordering, or its comparator * does not permit null keys * @throws IllegalArgumentException {@inheritDoc} * @since 1.6 */ public NavigableMap navigableSubMap(K fromKey, K toKey) { return new SubMap(fromKey, toKey); } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if toKey is null * and this map uses natural ordering, or its comparator * does not permit null keys * @throws IllegalArgumentException {@inheritDoc} * @since 1.6 */ public NavigableMap navigableHeadMap(K toKey) { return new SubMap(toKey, true); } /** * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if fromKey is null * and this map uses natural ordering, or its comparator * does not permit null keys * @throws IllegalArgumentException {@inheritDoc} * @since 1.6 */ public NavigableMap navigableTailMap(K fromKey) { return new SubMap(fromKey, false); } /** * Equivalent to {@link #navigableSubMap} but with a return type * conforming to the SortedMap interface. * *

{@inheritDoc} * * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if fromKey or toKey is * null and this map uses natural ordering, or its comparator * does not permit null keys * @throws IllegalArgumentException {@inheritDoc} */ public SortedMap subMap(K fromKey, K toKey) { return new SubMap(fromKey, toKey); } /** * Equivalent to {@link #navigableHeadMap} but with a return type * conforming to the SortedMap interface. * *

{@inheritDoc} * * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if toKey is null * and this map uses natural ordering, or its comparator * does not permit null keys * @throws IllegalArgumentException {@inheritDoc} */ public SortedMap headMap(K toKey) { return new SubMap(toKey, true); } /** * Equivalent to {@link #navigableTailMap} but with a return type * conforming to the SortedMap interface. * *

{@inheritDoc} * * @throws ClassCastException {@inheritDoc} * @throws NullPointerException if fromKey is null * and this map uses natural ordering, or its comparator * does not permit null keys * @throws IllegalArgumentException {@inheritDoc} */ public SortedMap tailMap(K fromKey) { return new SubMap(fromKey, false); } private class SubMap extends AbstractMap implements NavigableMap, java.io.Serializable { private static final long serialVersionUID = -6520786458950516097L; /** * fromKey is significant only if fromStart is false. Similarly, * toKey is significant only if toStart is false. */ private boolean fromStart = false, toEnd = false; private K fromKey, toKey; SubMap(K fromKey, K toKey) { if (compare(fromKey, toKey) > 0) throw new IllegalArgumentException("fromKey > toKey"); this.fromKey = fromKey; this.toKey = toKey; } SubMap(K key, boolean headMap) { compare(key, key); // Type-check key if (headMap) { fromStart = true; toKey = key; } else { toEnd = true; fromKey = key; } } SubMap(boolean fromStart, K fromKey, boolean toEnd, K toKey) { this.fromStart = fromStart; this.fromKey= fromKey; this.toEnd = toEnd; this.toKey = toKey; } public boolean isEmpty() { return entrySet().isEmpty(); } public boolean containsKey(Object key) { return inRange(key) && TreeMap.this.containsKey(key); } public V get(Object key) { if (!inRange(key)) return null; return TreeMap.this.get(key); } public V put(K key, V value) { if (!inRange(key)) throw new IllegalArgumentException("key out of range"); return TreeMap.this.put(key, value); } public V remove(Object key) { if (!inRange(key)) return null; return TreeMap.this.remove(key); } public Comparator comparator() { return comparator; } public K firstKey() { TreeMap.Entry e = fromStart ? getFirstEntry() : getCeilingEntry(fromKey); K first = key(e); if (!toEnd && compare(first, toKey) >= 0) throw new NoSuchElementException(); return first; } public K lastKey() { TreeMap.Entry e = toEnd ? getLastEntry() : getLowerEntry(toKey); K last = key(e); if (!fromStart && compare(last, fromKey) < 0) throw new NoSuchElementException(); return last; } public Map.Entry firstEntry() { TreeMap.Entry e = fromStart ? getFirstEntry() : getCeilingEntry(fromKey); if (e == null || (!toEnd && compare(e.key, toKey) >= 0)) return null; return e; } public Map.Entry lastEntry() { TreeMap.Entry e = toEnd ? getLastEntry() : getLowerEntry(toKey); if (e == null || (!fromStart && compare(e.key, fromKey) < 0)) return null; return e; } public Map.Entry pollFirstEntry() { TreeMap.Entry e = fromStart ? getFirstEntry() : getCeilingEntry(fromKey); if (e == null || (!toEnd && compare(e.key, toKey) >= 0)) return null; Map.Entry result = new AbstractMap.SimpleImmutableEntry(e); deleteEntry(e); return result; } public Map.Entry pollLastEntry() { TreeMap.Entry e = toEnd ? getLastEntry() : getLowerEntry(toKey); if (e == null || (!fromStart && compare(e.key, fromKey) < 0)) return null; Map.Entry result = new AbstractMap.SimpleImmutableEntry(e); deleteEntry(e); return result; } private TreeMap.Entry subceiling(K key) { TreeMap.Entry e = (!fromStart && compare(key, fromKey) < 0)? getCeilingEntry(fromKey) : getCeilingEntry(key); if (e == null || (!toEnd && compare(e.key, toKey) >= 0)) return null; return e; } public Map.Entry ceilingEntry(K key) { TreeMap.Entry e = subceiling(key); return e == null? null : new AbstractMap.SimpleImmutableEntry(e); } public K ceilingKey(K key) { TreeMap.Entry e = subceiling(key); return e == null? null : e.key; } private TreeMap.Entry subhigher(K key) { TreeMap.Entry e = (!fromStart && compare(key, fromKey) < 0)? getCeilingEntry(fromKey) : getHigherEntry(key); if (e == null || (!toEnd && compare(e.key, toKey) >= 0)) return null; return e; } public Map.Entry higherEntry(K key) { TreeMap.Entry e = subhigher(key); return e == null? null : new AbstractMap.SimpleImmutableEntry(e); } public K higherKey(K key) { TreeMap.Entry e = subhigher(key); return e == null? null : e.key; } private TreeMap.Entry subfloor(K key) { TreeMap.Entry e = (!toEnd && compare(key, toKey) >= 0)? getLowerEntry(toKey) : getFloorEntry(key); if (e == null || (!fromStart && compare(e.key, fromKey) < 0)) return null; return e; } public Map.Entry floorEntry(K key) { TreeMap.Entry e = subfloor(key); return e == null? null : new AbstractMap.SimpleImmutableEntry(e); } public K floorKey(K key) { TreeMap.Entry e = subfloor(key); return e == null? null : e.key; } private TreeMap.Entry sublower(K key) { TreeMap.Entry e = (!toEnd && compare(key, toKey) >= 0)? getLowerEntry(toKey) : getLowerEntry(key); if (e == null || (!fromStart && compare(e.key, fromKey) < 0)) return null; return e; } public Map.Entry lowerEntry(K key) { TreeMap.Entry e = sublower(key); return e == null? null : new AbstractMap.SimpleImmutableEntry(e); } public K lowerKey(K key) { TreeMap.Entry e = sublower(key); return e == null? null : e.key; } private transient Set> entrySet = null; public Set> entrySet() { Set> es = entrySet; return (es != null)? es : (entrySet = new EntrySetView()); } private class EntrySetView extends AbstractSet> { private transient int size = -1, sizeModCount; public int size() { if (size == -1 || sizeModCount != TreeMap.this.modCount) { size = 0; sizeModCount = TreeMap.this.modCount; Iterator i = iterator(); while (i.hasNext()) { size++; i.next(); } } return size; } public boolean isEmpty() { return !iterator().hasNext(); } public boolean contains(Object o) { if (!(o instanceof Map.Entry)) return false; Map.Entry entry = (Map.Entry) o; K key = entry.getKey(); if (!inRange(key)) return false; TreeMap.Entry node = getEntry(key); return node != null && valEquals(node.getValue(), entry.getValue()); } public boolean remove(Object o) { if (!(o instanceof Map.Entry)) return false; Map.Entry entry = (Map.Entry) o; K key = entry.getKey(); if (!inRange(key)) return false; TreeMap.Entry node = getEntry(key); if (node!=null && valEquals(node.getValue(),entry.getValue())){ deleteEntry(node); return true; } return false; } public Iterator> iterator() { return new SubMapEntryIterator( (fromStart ? getFirstEntry() : getCeilingEntry(fromKey)), (toEnd ? null : getCeilingEntry(toKey))); } } private transient Set> descendingEntrySetView = null; private transient Set descendingKeySetView = null; public Set> descendingEntrySet() { Set> es = descendingEntrySetView; return (es != null) ? es : (descendingEntrySetView = new DescendingEntrySetView()); } public Set descendingKeySet() { Set ks = descendingKeySetView; return (ks != null) ? ks : (descendingKeySetView = new DescendingKeySetView()); } private class DescendingEntrySetView extends EntrySetView { public Iterator> iterator() { return new DescendingSubMapEntryIterator ((toEnd ? getLastEntry() : getLowerEntry(toKey)), (fromStart ? null : getLowerEntry(fromKey))); } } private class DescendingKeySetView extends AbstractSet { public Iterator iterator() { return new Iterator() { private Iterator> i = descendingEntrySet().iterator(); public boolean hasNext() { return i.hasNext(); } public K next() { return i.next().getKey(); } public void remove() { i.remove(); } }; } public int size() { return SubMap.this.size(); } public boolean contains(Object k) { return SubMap.this.containsKey(k); } } public NavigableMap navigableSubMap(K fromKey, K toKey) { if (!inRange2(fromKey)) throw new IllegalArgumentException("fromKey out of range"); if (!inRange2(toKey)) throw new IllegalArgumentException("toKey out of range"); return new SubMap(fromKey, toKey); } public NavigableMap navigableHeadMap(K toKey) { if (!inRange2(toKey)) throw new IllegalArgumentException("toKey out of range"); return new SubMap(fromStart, fromKey, false, toKey); } public NavigableMap navigableTailMap(K fromKey) { if (!inRange2(fromKey)) throw new IllegalArgumentException("fromKey out of range"); return new SubMap(false, fromKey, toEnd, toKey); } public SortedMap subMap(K fromKey, K toKey) { return navigableSubMap(fromKey, toKey); } public SortedMap headMap(K toKey) { return navigableHeadMap(toKey); } public SortedMap tailMap(K fromKey) { return navigableTailMap(fromKey); } private boolean inRange(Object key) { return (fromStart || compare(key, fromKey) >= 0) && (toEnd || compare(key, toKey) < 0); } // This form allows the high endpoint (as well as all legit keys) private boolean inRange2(Object key) { return (fromStart || compare(key, fromKey) >= 0) && (toEnd || compare(key, toKey) <= 0); } } /** * TreeMap Iterator. */ abstract class PrivateEntryIterator implements Iterator { int expectedModCount = TreeMap.this.modCount; Entry lastReturned = null; Entry next; PrivateEntryIterator(Entry first) { next = first; } public boolean hasNext() { return next != null; } Entry nextEntry() { if (next == null) throw new NoSuchElementException(); if (modCount != expectedModCount) throw new ConcurrentModificationException(); lastReturned = next; next = successor(next); return lastReturned; } public void remove() { if (lastReturned == null) throw new IllegalStateException(); if (modCount != expectedModCount) throw new ConcurrentModificationException(); if (lastReturned.left != null && lastReturned.right != null) next = lastReturned; deleteEntry(lastReturned); expectedModCount++; lastReturned = null; } } class EntryIterator extends PrivateEntryIterator> { EntryIterator(Entry first) { super(first); } public Map.Entry next() { return nextEntry(); } } class KeyIterator extends PrivateEntryIterator { KeyIterator(Entry first) { super(first); } public K next() { return nextEntry().key; } } class ValueIterator extends PrivateEntryIterator { ValueIterator(Entry first) { super(first); } public V next() { return nextEntry().value; } } class SubMapEntryIterator extends PrivateEntryIterator> { private final K firstExcludedKey; SubMapEntryIterator(Entry first, Entry firstExcluded) { super(first); firstExcludedKey = (firstExcluded == null ? null : firstExcluded.key); } public boolean hasNext() { return next != null && next.key != firstExcludedKey; } public Map.Entry next() { if (next == null || next.key == firstExcludedKey) throw new NoSuchElementException(); return nextEntry(); } } /** * Base for Descending Iterators. */ abstract class DescendingPrivateEntryIterator extends PrivateEntryIterator { DescendingPrivateEntryIterator(Entry first) { super(first); } Entry nextEntry() { if (next == null) throw new NoSuchElementException(); if (modCount != expectedModCount) throw new ConcurrentModificationException(); lastReturned = next; next = predecessor(next); return lastReturned; } } class DescendingEntryIterator extends DescendingPrivateEntryIterator> { DescendingEntryIterator(Entry first) { super(first); } public Map.Entry next() { return nextEntry(); } } class DescendingKeyIterator extends DescendingPrivateEntryIterator { DescendingKeyIterator(Entry first) { super(first); } public K next() { return nextEntry().key; } } class DescendingSubMapEntryIterator extends DescendingPrivateEntryIterator> { private final K lastExcludedKey; DescendingSubMapEntryIterator(Entry last, Entry lastExcluded) { super(last); lastExcludedKey = (lastExcluded == null ? null : lastExcluded.key); } public boolean hasNext() { return next != null && next.key != lastExcludedKey; } public Map.Entry next() { if (next == null || next.key == lastExcludedKey) throw new NoSuchElementException(); return nextEntry(); } } /** * Compares two keys using the correct comparison method for this TreeMap. */ private int compare(Object k1, Object k2) { return comparator==null ? ((Comparable)k1).compareTo((K)k2) : comparator.compare((K)k1, (K)k2); } /** * Test two values for equality. Differs from o1.equals(o2) only in * that it copes with null o1 properly. */ private static boolean valEquals(Object o1, Object o2) { return (o1==null ? o2==null : o1.equals(o2)); } private static final boolean RED = false; private static final boolean BLACK = true; /** * Node in the Tree. Doubles as a means to pass key-value pairs back to * user (see Map.Entry). */ static class Entry implements Map.Entry { K key; V value; Entry left = null; Entry right = null; Entry parent; boolean color = BLACK; /** * Make a new cell with given key, value, and parent, and with * null child links, and BLACK color. */ Entry(K key, V value, Entry parent) { this.key = key; this.value = value; this.parent = parent; } /** * Returns the key. * * @return the key */ public K getKey() { return key; } /** * Returns the value associated with the key. * * @return the value associated with the key */ public V getValue() { return value; } /** * Replaces the value currently associated with the key with the given * value. * * @return the value associated with the key before this method was * called */ public V setValue(V value) { V oldValue = this.value; this.value = value; return oldValue; } public boolean equals(Object o) { if (!(o instanceof Map.Entry)) return false; Map.Entry e = (Map.Entry)o; return valEquals(key,e.getKey()) && valEquals(value,e.getValue()); } public int hashCode() { int keyHash = (key==null ? 0 : key.hashCode()); int valueHash = (value==null ? 0 : value.hashCode()); return keyHash ^ valueHash; } public String toString() { return key + "=" + value; } } /** * Returns the first Entry in the TreeMap (according to the TreeMap's * key-sort function). Returns null if the TreeMap is empty. */ private Entry getFirstEntry() { Entry p = root; if (p != null) while (p.left != null) p = p.left; return p; } /** * Returns the last Entry in the TreeMap (according to the TreeMap's * key-sort function). Returns null if the TreeMap is empty. */ private Entry getLastEntry() { Entry p = root; if (p != null) while (p.right != null) p = p.right; return p; } /** * Returns the successor of the specified Entry, or null if no such. */ private Entry successor(Entry t) { if (t == null) return null; else if (t.right != null) { Entry p = t.right; while (p.left != null) p = p.left; return p; } else { Entry p = t.parent; Entry ch = t; while (p != null && ch == p.right) { ch = p; p = p.parent; } return p; } } /** * Returns the predecessor of the specified Entry, or null if no such. */ private Entry predecessor(Entry t) { if (t == null) return null; else if (t.left != null) { Entry p = t.left; while (p.right != null) p = p.right; return p; } else { Entry p = t.parent; Entry ch = t; while (p != null && ch == p.left) { ch = p; p = p.parent; } return p; } } /** * Balancing operations. * * Implementations of rebalancings during insertion and deletion are * slightly different than the CLR version. Rather than using dummy * nilnodes, we use a set of accessors that deal properly with null. They * are used to avoid messiness surrounding nullness checks in the main * algorithms. */ private static boolean colorOf(Entry p) { return (p == null ? BLACK : p.color); } private static Entry parentOf(Entry p) { return (p == null ? null: p.parent); } private static void setColor(Entry p, boolean c) { if (p != null) p.color = c; } private static Entry leftOf(Entry p) { return (p == null) ? null: p.left; } private static Entry rightOf(Entry p) { return (p == null) ? null: p.right; } /** From CLR **/ private void rotateLeft(Entry p) { Entry r = p.right; p.right = r.left; if (r.left != null) r.left.parent = p; r.parent = p.parent; if (p.parent == null) root = r; else if (p.parent.left == p) p.parent.left = r; else p.parent.right = r; r.left = p; p.parent = r; } /** From CLR **/ private void rotateRight(Entry p) { Entry l = p.left; p.left = l.right; if (l.right != null) l.right.parent = p; l.parent = p.parent; if (p.parent == null) root = l; else if (p.parent.right == p) p.parent.right = l; else p.parent.left = l; l.right = p; p.parent = l; } /** From CLR **/ private void fixAfterInsertion(Entry x) { x.color = RED; while (x != null && x != root && x.parent.color == RED) { if (parentOf(x) == leftOf(parentOf(parentOf(x)))) { Entry y = rightOf(parentOf(parentOf(x))); if (colorOf(y) == RED) { setColor(parentOf(x), BLACK); setColor(y, BLACK); setColor(parentOf(parentOf(x)), RED); x = parentOf(parentOf(x)); } else { if (x == rightOf(parentOf(x))) { x = parentOf(x); rotateLeft(x); } setColor(parentOf(x), BLACK); setColor(parentOf(parentOf(x)), RED); if (parentOf(parentOf(x)) != null) rotateRight(parentOf(parentOf(x))); } } else { Entry y = leftOf(parentOf(parentOf(x))); if (colorOf(y) == RED) { setColor(parentOf(x), BLACK); setColor(y, BLACK); setColor(parentOf(parentOf(x)), RED); x = parentOf(parentOf(x)); } else { if (x == leftOf(parentOf(x))) { x = parentOf(x); rotateRight(x); } setColor(parentOf(x), BLACK); setColor(parentOf(parentOf(x)), RED); if (parentOf(parentOf(x)) != null) rotateLeft(parentOf(parentOf(x))); } } } root.color = BLACK; } /** * Delete node p, and then rebalance the tree. */ private void deleteEntry(Entry p) { decrementSize(); // If strictly internal, copy successor's element to p and then make p // point to successor. if (p.left != null && p.right != null) { Entry s = successor (p); p.key = s.key; p.value = s.value; p = s; } // p has 2 children // Start fixup at replacement node, if it exists. Entry replacement = (p.left != null ? p.left : p.right); if (replacement != null) { // Link replacement to parent replacement.parent = p.parent; if (p.parent == null) root = replacement; else if (p == p.parent.left) p.parent.left = replacement; else p.parent.right = replacement; // Null out links so they are OK to use by fixAfterDeletion. p.left = p.right = p.parent = null; // Fix replacement if (p.color == BLACK) fixAfterDeletion(replacement); } else if (p.parent == null) { // return if we are the only node. root = null; } else { // No children. Use self as phantom replacement and unlink. if (p.color == BLACK) fixAfterDeletion(p); if (p.parent != null) { if (p == p.parent.left) p.parent.left = null; else if (p == p.parent.right) p.parent.right = null; p.parent = null; } } } /** From CLR **/ private void fixAfterDeletion(Entry x) { while (x != root && colorOf(x) == BLACK) { if (x == leftOf(parentOf(x))) { Entry sib = rightOf(parentOf(x)); if (colorOf(sib) == RED) { setColor(sib, BLACK); setColor(parentOf(x), RED); rotateLeft(parentOf(x)); sib = rightOf(parentOf(x)); } if (colorOf(leftOf(sib)) == BLACK && colorOf(rightOf(sib)) == BLACK) { setColor(sib, RED); x = parentOf(x); } else { if (colorOf(rightOf(sib)) == BLACK) { setColor(leftOf(sib), BLACK); setColor(sib, RED); rotateRight(sib); sib = rightOf(parentOf(x)); } setColor(sib, colorOf(parentOf(x))); setColor(parentOf(x), BLACK); setColor(rightOf(sib), BLACK); rotateLeft(parentOf(x)); x = root; } } else { // symmetric Entry sib = leftOf(parentOf(x)); if (colorOf(sib) == RED) { setColor(sib, BLACK); setColor(parentOf(x), RED); rotateRight(parentOf(x)); sib = leftOf(parentOf(x)); } if (colorOf(rightOf(sib)) == BLACK && colorOf(leftOf(sib)) == BLACK) { setColor(sib, RED); x = parentOf(x); } else { if (colorOf(leftOf(sib)) == BLACK) { setColor(rightOf(sib), BLACK); setColor(sib, RED); rotateLeft(sib); sib = leftOf(parentOf(x)); } setColor(sib, colorOf(parentOf(x))); setColor(parentOf(x), BLACK); setColor(leftOf(sib), BLACK); rotateRight(parentOf(x)); x = root; } } } setColor(x, BLACK); } private static final long serialVersionUID = 919286545866124006L; /** * Save the state of the TreeMap instance to a stream (i.e., * serialize it). * * @serialData The size of the TreeMap (the number of key-value * mappings) is emitted (int), followed by the key (Object) * and value (Object) for each key-value mapping represented * by the TreeMap. The key-value mappings are emitted in * key-order (as determined by the TreeMap's Comparator, * or by the keys' natural ordering if the TreeMap has no * Comparator). */ private void writeObject(java.io.ObjectOutputStream s) throws java.io.IOException { // Write out the Comparator and any hidden stuff s.defaultWriteObject(); // Write out size (number of Mappings) s.writeInt(size); // Write out keys and values (alternating) for (Iterator> i = entrySet().iterator(); i.hasNext(); ) { Map.Entry e = i.next(); s.writeObject(e.getKey()); s.writeObject(e.getValue()); } } /** * Reconstitute the TreeMap instance from a stream (i.e., * deserialize it). */ private void readObject(final java.io.ObjectInputStream s) throws java.io.IOException, ClassNotFoundException { // Read in the Comparator and any hidden stuff s.defaultReadObject(); // Read in size int size = s.readInt(); buildFromSorted(size, null, s, null); } /** Intended to be called only from TreeSet.readObject **/ void readTreeSet(int size, java.io.ObjectInputStream s, V defaultVal) throws java.io.IOException, ClassNotFoundException { buildFromSorted(size, null, s, defaultVal); } /** Intended to be called only from TreeSet.addAll **/ void addAllForTreeSet(SortedSet set, V defaultVal) { try { buildFromSorted(set.size(), set.iterator(), null, defaultVal); } catch (java.io.IOException cannotHappen) { } catch (ClassNotFoundException cannotHappen) { } } /** * Linear time tree building algorithm from sorted data. Can accept keys * and/or values from iterator or stream. This leads to too many * parameters, but seems better than alternatives. The four formats * that this method accepts are: * * 1) An iterator of Map.Entries. (it != null, defaultVal == null). * 2) An iterator of keys. (it != null, defaultVal != null). * 3) A stream of alternating serialized keys and values. * (it == null, defaultVal == null). * 4) A stream of serialized keys. (it == null, defaultVal != null). * * It is assumed that the comparator of the TreeMap is already set prior * to calling this method. * * @param size the number of keys (or key-value pairs) to be read from * the iterator or stream * @param it If non-null, new entries are created from entries * or keys read from this iterator. * @param str If non-null, new entries are created from keys and * possibly values read from this stream in serialized form. * Exactly one of it and str should be non-null. * @param defaultVal if non-null, this default value is used for * each value in the map. If null, each value is read from * iterator or stream, as described above. * @throws IOException propagated from stream reads. This cannot * occur if str is null. * @throws ClassNotFoundException propagated from readObject. * This cannot occur if str is null. */ private void buildFromSorted(int size, Iterator it, java.io.ObjectInputStream str, V defaultVal) throws java.io.IOException, ClassNotFoundException { this.size = size; root = buildFromSorted(0, 0, size-1, computeRedLevel(size), it, str, defaultVal); } /** * Recursive "helper method" that does the real work of the * of the previous method. Identically named parameters have * identical definitions. Additional parameters are documented below. * It is assumed that the comparator and size fields of the TreeMap are * already set prior to calling this method. (It ignores both fields.) * * @param level the current level of tree. Initial call should be 0. * @param lo the first element index of this subtree. Initial should be 0. * @param hi the last element index of this subtree. Initial should be * size-1. * @param redLevel the level at which nodes should be red. * Must be equal to computeRedLevel for tree of this size. */ private final Entry buildFromSorted(int level, int lo, int hi, int redLevel, Iterator it, java.io.ObjectInputStream str, V defaultVal) throws java.io.IOException, ClassNotFoundException { /* * Strategy: The root is the middlemost element. To get to it, we * have to first recursively construct the entire left subtree, * so as to grab all of its elements. We can then proceed with right * subtree. * * The lo and hi arguments are the minimum and maximum * indices to pull out of the iterator or stream for current subtree. * They are not actually indexed, we just proceed sequentially, * ensuring that items are extracted in corresponding order. */ if (hi < lo) return null; int mid = (lo + hi) / 2; Entry left = null; if (lo < mid) left = buildFromSorted(level+1, lo, mid - 1, redLevel, it, str, defaultVal); // extract key and/or value from iterator or stream K key; V value; if (it != null) { if (defaultVal==null) { Map.Entry entry = (Map.Entry)it.next(); key = entry.getKey(); value = entry.getValue(); } else { key = (K)it.next(); value = defaultVal; } } else { // use stream key = (K) str.readObject(); value = (defaultVal != null ? defaultVal : (V) str.readObject()); } Entry middle = new Entry(key, value, null); // color nodes in non-full bottommost level red if (level == redLevel) middle.color = RED; if (left != null) { middle.left = left; left.parent = middle; } if (mid < hi) { Entry right = buildFromSorted(level+1, mid+1, hi, redLevel, it, str, defaultVal); middle.right = right; right.parent = middle; } return middle; } /** * Find the level down to which to assign all nodes BLACK. This is the * last `full' level of the complete binary tree produced by * buildTree. The remaining nodes are colored RED. (This makes a `nice' * set of color assignments wrt future insertions.) This level number is * computed by finding the number of splits needed to reach the zeroeth * node. (The answer is ~lg(N), but in any case must be computed by same * quick O(lg(N)) loop.) */ private static int computeRedLevel(int sz) { int level = 0; for (int m = sz - 1; m >= 0; m = m / 2 - 1) level++; return level; } }