1 /*
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   3  * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
   4  *
   5  * This code is free software; you can redistribute it and/or modify it
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   7  * published by the Free Software Foundation.  Oracle designates this
   8  * particular file as subject to the "Classpath" exception as provided
   9  * by Oracle in the LICENSE file that accompanied this code.
  10  *
  11  * This code is distributed in the hope that it will be useful, but WITHOUT
  12  * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
  13  * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
  14  * version 2 for more details (a copy is included in the LICENSE file that
  15  * accompanied this code).
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  22  * or visit www.oracle.com if you need additional information or have any
  23  * questions.
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  25 
  26 package java.util;
  27 
  28 import java.io.Serializable;
  29 import java.util.function.BiConsumer;
  30 import java.util.function.BiFunction;
  31 import java.util.function.Consumer;
  32 
  33 /**
  34  * A Red-Black tree based {@link NavigableMap} implementation.
  35  * The map is sorted according to the {@linkplain Comparable natural
  36  * ordering} of its keys, or by a {@link Comparator} provided at map
  37  * creation time, depending on which constructor is used.
  38  *
  39  * <p>This implementation provides guaranteed log(n) time cost for the
  40  * {@code containsKey}, {@code get}, {@code put} and {@code remove}
  41  * operations.  Algorithms are adaptations of those in Cormen, Leiserson, and
  42  * Rivest's <em>Introduction to Algorithms</em>.
  43  *
  44  * <p>Note that the ordering maintained by a tree map, like any sorted map, and
  45  * whether or not an explicit comparator is provided, must be <em>consistent
  46  * with {@code equals}</em> if this sorted map is to correctly implement the
  47  * {@code Map} interface.  (See {@code Comparable} or {@code Comparator} for a
  48  * precise definition of <em>consistent with equals</em>.)  This is so because
  49  * the {@code Map} interface is defined in terms of the {@code equals}
  50  * operation, but a sorted map performs all key comparisons using its {@code
  51  * compareTo} (or {@code compare}) method, so two keys that are deemed equal by
  52  * this method are, from the standpoint of the sorted map, equal.  The behavior
  53  * of a sorted map <em>is</em> well-defined even if its ordering is
  54  * inconsistent with {@code equals}; it just fails to obey the general contract
  55  * of the {@code Map} interface.
  56  *
  57  * <p><strong>Note that this implementation is not synchronized.</strong>
  58  * If multiple threads access a map concurrently, and at least one of the
  59  * threads modifies the map structurally, it <em>must</em> be synchronized
  60  * externally.  (A structural modification is any operation that adds or
  61  * deletes one or more mappings; merely changing the value associated
  62  * with an existing key is not a structural modification.)  This is
  63  * typically accomplished by synchronizing on some object that naturally
  64  * encapsulates the map.
  65  * If no such object exists, the map should be "wrapped" using the
  66  * {@link Collections#synchronizedSortedMap Collections.synchronizedSortedMap}
  67  * method.  This is best done at creation time, to prevent accidental
  68  * unsynchronized access to the map: <pre>
  69  *   SortedMap m = Collections.synchronizedSortedMap(new TreeMap(...));</pre>
  70  *
  71  * <p>The iterators returned by the {@code iterator} method of the collections
  72  * returned by all of this class's "collection view methods" are
  73  * <em>fail-fast</em>: if the map is structurally modified at any time after
  74  * the iterator is created, in any way except through the iterator's own
  75  * {@code remove} method, the iterator will throw a {@link
  76  * ConcurrentModificationException}.  Thus, in the face of concurrent
  77  * modification, the iterator fails quickly and cleanly, rather than risking
  78  * arbitrary, non-deterministic behavior at an undetermined time in the future.
  79  *
  80  * <p>Note that the fail-fast behavior of an iterator cannot be guaranteed
  81  * as it is, generally speaking, impossible to make any hard guarantees in the
  82  * presence of unsynchronized concurrent modification.  Fail-fast iterators
  83  * throw {@code ConcurrentModificationException} on a best-effort basis.
  84  * Therefore, it would be wrong to write a program that depended on this
  85  * exception for its correctness:   <em>the fail-fast behavior of iterators
  86  * should be used only to detect bugs.</em>
  87  *
  88  * <p>All {@code Map.Entry} pairs returned by methods in this class
  89  * and its views represent snapshots of mappings at the time they were
  90  * produced. They do <strong>not</strong> support the {@code Entry.setValue}
  91  * method. (Note however that it is possible to change mappings in the
  92  * associated map using {@code put}.)
  93  *
  94  * <p>This class is a member of the
  95  * <a href="{@docRoot}/java.base/java/util/package-summary.html#CollectionsFramework">
  96  * Java Collections Framework</a>.
  97  *
  98  * @param <K> the type of keys maintained by this map
  99  * @param <V> the type of mapped values
 100  *
 101  * @author  Josh Bloch and Doug Lea
 102  * @see Map
 103  * @see HashMap
 104  * @see Hashtable
 105  * @see Comparable
 106  * @see Comparator
 107  * @see Collection
 108  * @since 1.2
 109  */
 110 
 111 public class TreeMap<K,V>
 112     extends AbstractMap<K,V>
 113     implements NavigableMap<K,V>, Cloneable, java.io.Serializable
 114 {
 115     /**
 116      * The comparator used to maintain order in this tree map, or
 117      * null if it uses the natural ordering of its keys.
 118      *
 119      * @serial
 120      */
 121     private final Comparator<? super K> comparator;
 122 
 123     private transient Entry<K,V> root;
 124 
 125     /**
 126      * The number of entries in the tree
 127      */
 128     private transient int size = 0;
 129 
 130     /**
 131      * The number of structural modifications to the tree.
 132      */
 133     private transient int modCount = 0;
 134 
 135     /**
 136      * Constructs a new, empty tree map, using the natural ordering of its
 137      * keys.  All keys inserted into the map must implement the {@link
 138      * Comparable} interface.  Furthermore, all such keys must be
 139      * <em>mutually comparable</em>: {@code k1.compareTo(k2)} must not throw
 140      * a {@code ClassCastException} for any keys {@code k1} and
 141      * {@code k2} in the map.  If the user attempts to put a key into the
 142      * map that violates this constraint (for example, the user attempts to
 143      * put a string key into a map whose keys are integers), the
 144      * {@code put(Object key, Object value)} call will throw a
 145      * {@code ClassCastException}.
 146      */
 147     public TreeMap() {
 148         comparator = null;
 149     }
 150 
 151     /**
 152      * Constructs a new, empty tree map, ordered according to the given
 153      * comparator.  All keys inserted into the map must be <em>mutually
 154      * comparable</em> by the given comparator: {@code comparator.compare(k1,
 155      * k2)} must not throw a {@code ClassCastException} for any keys
 156      * {@code k1} and {@code k2} in the map.  If the user attempts to put
 157      * a key into the map that violates this constraint, the {@code put(Object
 158      * key, Object value)} call will throw a
 159      * {@code ClassCastException}.
 160      *
 161      * @param comparator the comparator that will be used to order this map.
 162      *        If {@code null}, the {@linkplain Comparable natural
 163      *        ordering} of the keys will be used.
 164      */
 165     public TreeMap(Comparator<? super K> comparator) {
 166         this.comparator = comparator;
 167     }
 168 
 169     /**
 170      * Constructs a new tree map containing the same mappings as the given
 171      * map, ordered according to the <em>natural ordering</em> of its keys.
 172      * All keys inserted into the new map must implement the {@link
 173      * Comparable} interface.  Furthermore, all such keys must be
 174      * <em>mutually comparable</em>: {@code k1.compareTo(k2)} must not throw
 175      * a {@code ClassCastException} for any keys {@code k1} and
 176      * {@code k2} in the map.  This method runs in n*log(n) time.
 177      *
 178      * @param  m the map whose mappings are to be placed in this map
 179      * @throws ClassCastException if the keys in m are not {@link Comparable},
 180      *         or are not mutually comparable
 181      * @throws NullPointerException if the specified map is null
 182      */
 183     public TreeMap(Map<? extends K, ? extends V> m) {
 184         comparator = null;
 185         putAll(m);
 186     }
 187 
 188     /**
 189      * Constructs a new tree map containing the same mappings and
 190      * using the same ordering as the specified sorted map.  This
 191      * method runs in linear time.
 192      *
 193      * @param  m the sorted map whose mappings are to be placed in this map,
 194      *         and whose comparator is to be used to sort this map
 195      * @throws NullPointerException if the specified map is null
 196      */
 197     public TreeMap(SortedMap<K, ? extends V> m) {
 198         comparator = m.comparator();
 199         try {
 200             buildFromSorted(m.size(), m.entrySet().iterator(), null, null);
 201         } catch (java.io.IOException | ClassNotFoundException cannotHappen) {
 202         }
 203     }
 204 
 205 
 206     // Query Operations
 207 
 208     /**
 209      * Returns the number of key-value mappings in this map.
 210      *
 211      * @return the number of key-value mappings in this map
 212      */
 213     public int size() {
 214         return size;
 215     }
 216 
 217     /**
 218      * Returns {@code true} if this map contains a mapping for the specified
 219      * key.
 220      *
 221      * @param key key whose presence in this map is to be tested
 222      * @return {@code true} if this map contains a mapping for the
 223      *         specified key
 224      * @throws ClassCastException if the specified key cannot be compared
 225      *         with the keys currently in the map
 226      * @throws NullPointerException if the specified key is null
 227      *         and this map uses natural ordering, or its comparator
 228      *         does not permit null keys
 229      */
 230     public boolean containsKey(Object key) {
 231         return getEntry(key) != null;
 232     }
 233 
 234     /**
 235      * Returns {@code true} if this map maps one or more keys to the
 236      * specified value.  More formally, returns {@code true} if and only if
 237      * this map contains at least one mapping to a value {@code v} such
 238      * that {@code (value==null ? v==null : value.equals(v))}.  This
 239      * operation will probably require time linear in the map size for
 240      * most implementations.
 241      *
 242      * @param value value whose presence in this map is to be tested
 243      * @return {@code true} if a mapping to {@code value} exists;
 244      *         {@code false} otherwise
 245      * @since 1.2
 246      */
 247     public boolean containsValue(Object value) {
 248         for (Entry<K,V> e = getFirstEntry(); e != null; e = successor(e))
 249             if (valEquals(value, e.value))
 250                 return true;
 251         return false;
 252     }
 253 
 254     /**
 255      * Returns the value to which the specified key is mapped,
 256      * or {@code null} if this map contains no mapping for the key.
 257      *
 258      * <p>More formally, if this map contains a mapping from a key
 259      * {@code k} to a value {@code v} such that {@code key} compares
 260      * equal to {@code k} according to the map's ordering, then this
 261      * method returns {@code v}; otherwise it returns {@code null}.
 262      * (There can be at most one such mapping.)
 263      *
 264      * <p>A return value of {@code null} does not <em>necessarily</em>
 265      * indicate that the map contains no mapping for the key; it's also
 266      * possible that the map explicitly maps the key to {@code null}.
 267      * The {@link #containsKey containsKey} operation may be used to
 268      * distinguish these two cases.
 269      *
 270      * @throws ClassCastException if the specified key cannot be compared
 271      *         with the keys currently in the map
 272      * @throws NullPointerException if the specified key is null
 273      *         and this map uses natural ordering, or its comparator
 274      *         does not permit null keys
 275      */
 276     public V get(Object key) {
 277         Entry<K,V> p = getEntry(key);
 278         return (p==null ? null : p.value);
 279     }
 280 
 281     public Comparator<? super K> comparator() {
 282         return comparator;
 283     }
 284 
 285     /**
 286      * @throws NoSuchElementException {@inheritDoc}
 287      */
 288     public K firstKey() {
 289         return key(getFirstEntry());
 290     }
 291 
 292     /**
 293      * @throws NoSuchElementException {@inheritDoc}
 294      */
 295     public K lastKey() {
 296         return key(getLastEntry());
 297     }
 298 
 299     /**
 300      * Copies all of the mappings from the specified map to this map.
 301      * These mappings replace any mappings that this map had for any
 302      * of the keys currently in the specified map.
 303      *
 304      * @param  map mappings to be stored in this map
 305      * @throws ClassCastException if the class of a key or value in
 306      *         the specified map prevents it from being stored in this map
 307      * @throws NullPointerException if the specified map is null or
 308      *         the specified map contains a null key and this map does not
 309      *         permit null keys
 310      */
 311     public void putAll(Map<? extends K, ? extends V> map) {
 312         int mapSize = map.size();
 313         if (size==0 && mapSize!=0 && map instanceof SortedMap) {
 314             if (Objects.equals(comparator, ((SortedMap<?,?>)map).comparator())) {
 315                 ++modCount;
 316                 try {
 317                     buildFromSorted(mapSize, map.entrySet().iterator(),
 318                                     null, null);
 319                 } catch (java.io.IOException | ClassNotFoundException cannotHappen) {
 320                 }
 321                 return;
 322             }
 323         }
 324         super.putAll(map);
 325     }
 326 
 327     /**
 328      * Returns this map's entry for the given key, or {@code null} if the map
 329      * does not contain an entry for the key.
 330      *
 331      * @return this map's entry for the given key, or {@code null} if the map
 332      *         does not contain an entry for the key
 333      * @throws ClassCastException if the specified key cannot be compared
 334      *         with the keys currently in the map
 335      * @throws NullPointerException if the specified key is null
 336      *         and this map uses natural ordering, or its comparator
 337      *         does not permit null keys
 338      */
 339     final Entry<K,V> getEntry(Object key) {
 340         // Offload comparator-based version for sake of performance
 341         if (comparator != null)
 342             return getEntryUsingComparator(key);
 343         if (key == null)
 344             throw new NullPointerException();
 345         @SuppressWarnings("unchecked")
 346             Comparable<? super K> k = (Comparable<? super K>) key;
 347         Entry<K,V> p = root;
 348         while (p != null) {
 349             int cmp = k.compareTo(p.key);
 350             if (cmp < 0)
 351                 p = p.left;
 352             else if (cmp > 0)
 353                 p = p.right;
 354             else
 355                 return p;
 356         }
 357         return null;
 358     }
 359 
 360     /**
 361      * Version of getEntry using comparator. Split off from getEntry
 362      * for performance. (This is not worth doing for most methods,
 363      * that are less dependent on comparator performance, but is
 364      * worthwhile here.)
 365      */
 366     final Entry<K,V> getEntryUsingComparator(Object key) {
 367         @SuppressWarnings("unchecked")
 368             K k = (K) key;
 369         Comparator<? super K> cpr = comparator;
 370         if (cpr != null) {
 371             Entry<K,V> p = root;
 372             while (p != null) {
 373                 int cmp = cpr.compare(k, p.key);
 374                 if (cmp < 0)
 375                     p = p.left;
 376                 else if (cmp > 0)
 377                     p = p.right;
 378                 else
 379                     return p;
 380             }
 381         }
 382         return null;
 383     }
 384 
 385     /**
 386      * Gets the entry corresponding to the specified key; if no such entry
 387      * exists, returns the entry for the least key greater than the specified
 388      * key; if no such entry exists (i.e., the greatest key in the Tree is less
 389      * than the specified key), returns {@code null}.
 390      */
 391     final Entry<K,V> getCeilingEntry(K key) {
 392         Entry<K,V> p = root;
 393         while (p != null) {
 394             int cmp = compare(key, p.key);
 395             if (cmp < 0) {
 396                 if (p.left != null)
 397                     p = p.left;
 398                 else
 399                     return p;
 400             } else if (cmp > 0) {
 401                 if (p.right != null) {
 402                     p = p.right;
 403                 } else {
 404                     Entry<K,V> parent = p.parent;
 405                     Entry<K,V> ch = p;
 406                     while (parent != null && ch == parent.right) {
 407                         ch = parent;
 408                         parent = parent.parent;
 409                     }
 410                     return parent;
 411                 }
 412             } else
 413                 return p;
 414         }
 415         return null;
 416     }
 417 
 418     /**
 419      * Gets the entry corresponding to the specified key; if no such entry
 420      * exists, returns the entry for the greatest key less than the specified
 421      * key; if no such entry exists, returns {@code null}.
 422      */
 423     final Entry<K,V> getFloorEntry(K key) {
 424         Entry<K,V> p = root;
 425         while (p != null) {
 426             int cmp = compare(key, p.key);
 427             if (cmp > 0) {
 428                 if (p.right != null)
 429                     p = p.right;
 430                 else
 431                     return p;
 432             } else if (cmp < 0) {
 433                 if (p.left != null) {
 434                     p = p.left;
 435                 } else {
 436                     Entry<K,V> parent = p.parent;
 437                     Entry<K,V> ch = p;
 438                     while (parent != null && ch == parent.left) {
 439                         ch = parent;
 440                         parent = parent.parent;
 441                     }
 442                     return parent;
 443                 }
 444             } else
 445                 return p;
 446 
 447         }
 448         return null;
 449     }
 450 
 451     /**
 452      * Gets the entry for the least key greater than the specified
 453      * key; if no such entry exists, returns the entry for the least
 454      * key greater than the specified key; if no such entry exists
 455      * returns {@code null}.
 456      */
 457     final Entry<K,V> getHigherEntry(K key) {
 458         Entry<K,V> p = root;
 459         while (p != null) {
 460             int cmp = compare(key, p.key);
 461             if (cmp < 0) {
 462                 if (p.left != null)
 463                     p = p.left;
 464                 else
 465                     return p;
 466             } else {
 467                 if (p.right != null) {
 468                     p = p.right;
 469                 } else {
 470                     Entry<K,V> parent = p.parent;
 471                     Entry<K,V> ch = p;
 472                     while (parent != null && ch == parent.right) {
 473                         ch = parent;
 474                         parent = parent.parent;
 475                     }
 476                     return parent;
 477                 }
 478             }
 479         }
 480         return null;
 481     }
 482 
 483     /**
 484      * Returns the entry for the greatest key less than the specified key; if
 485      * no such entry exists (i.e., the least key in the Tree is greater than
 486      * the specified key), returns {@code null}.
 487      */
 488     final Entry<K,V> getLowerEntry(K key) {
 489         Entry<K,V> p = root;
 490         while (p != null) {
 491             int cmp = compare(key, p.key);
 492             if (cmp > 0) {
 493                 if (p.right != null)
 494                     p = p.right;
 495                 else
 496                     return p;
 497             } else {
 498                 if (p.left != null) {
 499                     p = p.left;
 500                 } else {
 501                     Entry<K,V> parent = p.parent;
 502                     Entry<K,V> ch = p;
 503                     while (parent != null && ch == parent.left) {
 504                         ch = parent;
 505                         parent = parent.parent;
 506                     }
 507                     return parent;
 508                 }
 509             }
 510         }
 511         return null;
 512     }
 513 
 514     /**
 515      * Associates the specified value with the specified key in this map.
 516      * If the map previously contained a mapping for the key, the old
 517      * value is replaced.
 518      *
 519      * @param key key with which the specified value is to be associated
 520      * @param value value to be associated with the specified key
 521      *
 522      * @return the previous value associated with {@code key}, or
 523      *         {@code null} if there was no mapping for {@code key}.
 524      *         (A {@code null} return can also indicate that the map
 525      *         previously associated {@code null} with {@code key}.)
 526      * @throws ClassCastException if the specified key cannot be compared
 527      *         with the keys currently in the map
 528      * @throws NullPointerException if the specified key is null
 529      *         and this map uses natural ordering, or its comparator
 530      *         does not permit null keys
 531      */
 532     public V put(K key, V value) {
 533         Entry<K,V> t = root;
 534         if (t == null) {
 535             compare(key, key); // type (and possibly null) check
 536 
 537             root = new Entry<>(key, value, null);
 538             size = 1;
 539             modCount++;
 540             return null;
 541         }
 542         int cmp;
 543         Entry<K,V> parent;
 544         // split comparator and comparable paths
 545         Comparator<? super K> cpr = comparator;
 546         if (cpr != null) {
 547             do {
 548                 parent = t;
 549                 cmp = cpr.compare(key, t.key);
 550                 if (cmp < 0)
 551                     t = t.left;
 552                 else if (cmp > 0)
 553                     t = t.right;
 554                 else
 555                     return t.setValue(value);
 556             } while (t != null);
 557         }
 558         else {
 559             if (key == null)
 560                 throw new NullPointerException();
 561             @SuppressWarnings("unchecked")
 562                 Comparable<? super K> k = (Comparable<? super K>) key;
 563             do {
 564                 parent = t;
 565                 cmp = k.compareTo(t.key);
 566                 if (cmp < 0)
 567                     t = t.left;
 568                 else if (cmp > 0)
 569                     t = t.right;
 570                 else
 571                     return t.setValue(value);
 572             } while (t != null);
 573         }
 574         Entry<K,V> e = new Entry<>(key, value, parent);
 575         if (cmp < 0)
 576             parent.left = e;
 577         else
 578             parent.right = e;
 579         fixAfterInsertion(e);
 580         size++;
 581         modCount++;
 582         return null;
 583     }
 584 
 585     /**
 586      * Removes the mapping for this key from this TreeMap if present.
 587      *
 588      * @param  key key for which mapping should be removed
 589      * @return the previous value associated with {@code key}, or
 590      *         {@code null} if there was no mapping for {@code key}.
 591      *         (A {@code null} return can also indicate that the map
 592      *         previously associated {@code null} with {@code key}.)
 593      * @throws ClassCastException if the specified key cannot be compared
 594      *         with the keys currently in the map
 595      * @throws NullPointerException if the specified key is null
 596      *         and this map uses natural ordering, or its comparator
 597      *         does not permit null keys
 598      */
 599     public V remove(Object key) {
 600         Entry<K,V> p = getEntry(key);
 601         if (p == null)
 602             return null;
 603 
 604         V oldValue = p.value;
 605         deleteEntry(p);
 606         return oldValue;
 607     }
 608 
 609     /**
 610      * Removes all of the mappings from this map.
 611      * The map will be empty after this call returns.
 612      */
 613     public void clear() {
 614         modCount++;
 615         size = 0;
 616         root = null;
 617     }
 618 
 619     /**
 620      * Returns a shallow copy of this {@code TreeMap} instance. (The keys and
 621      * values themselves are not cloned.)
 622      *
 623      * @return a shallow copy of this map
 624      */
 625     public Object clone() {
 626         TreeMap<?,?> clone;
 627         try {
 628             clone = (TreeMap<?,?>) super.clone();
 629         } catch (CloneNotSupportedException e) {
 630             throw new InternalError(e);
 631         }
 632 
 633         // Put clone into "virgin" state (except for comparator)
 634         clone.root = null;
 635         clone.size = 0;
 636         clone.modCount = 0;
 637         clone.entrySet = null;
 638         clone.navigableKeySet = null;
 639         clone.descendingMap = null;
 640 
 641         // Initialize clone with our mappings
 642         try {
 643             clone.buildFromSorted(size, entrySet().iterator(), null, null);
 644         } catch (java.io.IOException | ClassNotFoundException cannotHappen) {
 645         }
 646 
 647         return clone;
 648     }
 649 
 650     // NavigableMap API methods
 651 
 652     /**
 653      * @since 1.6
 654      */
 655     public Map.Entry<K,V> firstEntry() {
 656         return exportEntry(getFirstEntry());
 657     }
 658 
 659     /**
 660      * @since 1.6
 661      */
 662     public Map.Entry<K,V> lastEntry() {
 663         return exportEntry(getLastEntry());
 664     }
 665 
 666     /**
 667      * @since 1.6
 668      */
 669     public Map.Entry<K,V> pollFirstEntry() {
 670         Entry<K,V> p = getFirstEntry();
 671         Map.Entry<K,V> result = exportEntry(p);
 672         if (p != null)
 673             deleteEntry(p);
 674         return result;
 675     }
 676 
 677     /**
 678      * @since 1.6
 679      */
 680     public Map.Entry<K,V> pollLastEntry() {
 681         Entry<K,V> p = getLastEntry();
 682         Map.Entry<K,V> result = exportEntry(p);
 683         if (p != null)
 684             deleteEntry(p);
 685         return result;
 686     }
 687 
 688     /**
 689      * @throws ClassCastException {@inheritDoc}
 690      * @throws NullPointerException if the specified key is null
 691      *         and this map uses natural ordering, or its comparator
 692      *         does not permit null keys
 693      * @since 1.6
 694      */
 695     public Map.Entry<K,V> lowerEntry(K key) {
 696         return exportEntry(getLowerEntry(key));
 697     }
 698 
 699     /**
 700      * @throws ClassCastException {@inheritDoc}
 701      * @throws NullPointerException if the specified key is null
 702      *         and this map uses natural ordering, or its comparator
 703      *         does not permit null keys
 704      * @since 1.6
 705      */
 706     public K lowerKey(K key) {
 707         return keyOrNull(getLowerEntry(key));
 708     }
 709 
 710     /**
 711      * @throws ClassCastException {@inheritDoc}
 712      * @throws NullPointerException if the specified key is null
 713      *         and this map uses natural ordering, or its comparator
 714      *         does not permit null keys
 715      * @since 1.6
 716      */
 717     public Map.Entry<K,V> floorEntry(K key) {
 718         return exportEntry(getFloorEntry(key));
 719     }
 720 
 721     /**
 722      * @throws ClassCastException {@inheritDoc}
 723      * @throws NullPointerException if the specified key is null
 724      *         and this map uses natural ordering, or its comparator
 725      *         does not permit null keys
 726      * @since 1.6
 727      */
 728     public K floorKey(K key) {
 729         return keyOrNull(getFloorEntry(key));
 730     }
 731 
 732     /**
 733      * @throws ClassCastException {@inheritDoc}
 734      * @throws NullPointerException if the specified key is null
 735      *         and this map uses natural ordering, or its comparator
 736      *         does not permit null keys
 737      * @since 1.6
 738      */
 739     public Map.Entry<K,V> ceilingEntry(K key) {
 740         return exportEntry(getCeilingEntry(key));
 741     }
 742 
 743     /**
 744      * @throws ClassCastException {@inheritDoc}
 745      * @throws NullPointerException if the specified key is null
 746      *         and this map uses natural ordering, or its comparator
 747      *         does not permit null keys
 748      * @since 1.6
 749      */
 750     public K ceilingKey(K key) {
 751         return keyOrNull(getCeilingEntry(key));
 752     }
 753 
 754     /**
 755      * @throws ClassCastException {@inheritDoc}
 756      * @throws NullPointerException if the specified key is null
 757      *         and this map uses natural ordering, or its comparator
 758      *         does not permit null keys
 759      * @since 1.6
 760      */
 761     public Map.Entry<K,V> higherEntry(K key) {
 762         return exportEntry(getHigherEntry(key));
 763     }
 764 
 765     /**
 766      * @throws ClassCastException {@inheritDoc}
 767      * @throws NullPointerException if the specified key is null
 768      *         and this map uses natural ordering, or its comparator
 769      *         does not permit null keys
 770      * @since 1.6
 771      */
 772     public K higherKey(K key) {
 773         return keyOrNull(getHigherEntry(key));
 774     }
 775 
 776     // Views
 777 
 778     /**
 779      * Fields initialized to contain an instance of the entry set view
 780      * the first time this view is requested.  Views are stateless, so
 781      * there's no reason to create more than one.
 782      */
 783     private transient EntrySet entrySet;
 784     private transient KeySet<K> navigableKeySet;
 785     private transient NavigableMap<K,V> descendingMap;
 786 
 787     /**
 788      * Returns a {@link Set} view of the keys contained in this map.
 789      *
 790      * <p>The set's iterator returns the keys in ascending order.
 791      * The set's spliterator is
 792      * <em><a href="Spliterator.html#binding">late-binding</a></em>,
 793      * <em>fail-fast</em>, and additionally reports {@link Spliterator#SORTED}
 794      * and {@link Spliterator#ORDERED} with an encounter order that is ascending
 795      * key order.  The spliterator's comparator (see
 796      * {@link java.util.Spliterator#getComparator()}) is {@code null} if
 797      * the tree map's comparator (see {@link #comparator()}) is {@code null}.
 798      * Otherwise, the spliterator's comparator is the same as or imposes the
 799      * same total ordering as the tree map's comparator.
 800      *
 801      * <p>The set is backed by the map, so changes to the map are
 802      * reflected in the set, and vice-versa.  If the map is modified
 803      * while an iteration over the set is in progress (except through
 804      * the iterator's own {@code remove} operation), the results of
 805      * the iteration are undefined.  The set supports element removal,
 806      * which removes the corresponding mapping from the map, via the
 807      * {@code Iterator.remove}, {@code Set.remove},
 808      * {@code removeAll}, {@code retainAll}, and {@code clear}
 809      * operations.  It does not support the {@code add} or {@code addAll}
 810      * operations.
 811      */
 812     public Set<K> keySet() {
 813         return navigableKeySet();
 814     }
 815 
 816     /**
 817      * @since 1.6
 818      */
 819     public NavigableSet<K> navigableKeySet() {
 820         KeySet<K> nks = navigableKeySet;
 821         return (nks != null) ? nks : (navigableKeySet = new KeySet<>(this));
 822     }
 823 
 824     /**
 825      * @since 1.6
 826      */
 827     public NavigableSet<K> descendingKeySet() {
 828         return descendingMap().navigableKeySet();
 829     }
 830 
 831     /**
 832      * Returns a {@link Collection} view of the values contained in this map.
 833      *
 834      * <p>The collection's iterator returns the values in ascending order
 835      * of the corresponding keys. The collection's spliterator is
 836      * <em><a href="Spliterator.html#binding">late-binding</a></em>,
 837      * <em>fail-fast</em>, and additionally reports {@link Spliterator#ORDERED}
 838      * with an encounter order that is ascending order of the corresponding
 839      * keys.
 840      *
 841      * <p>The collection is backed by the map, so changes to the map are
 842      * reflected in the collection, and vice-versa.  If the map is
 843      * modified while an iteration over the collection is in progress
 844      * (except through the iterator's own {@code remove} operation),
 845      * the results of the iteration are undefined.  The collection
 846      * supports element removal, which removes the corresponding
 847      * mapping from the map, via the {@code Iterator.remove},
 848      * {@code Collection.remove}, {@code removeAll},
 849      * {@code retainAll} and {@code clear} operations.  It does not
 850      * support the {@code add} or {@code addAll} operations.
 851      */
 852     public Collection<V> values() {
 853         Collection<V> vs = values;
 854         if (vs == null) {
 855             vs = new Values();
 856             values = vs;
 857         }
 858         return vs;
 859     }
 860 
 861     /**
 862      * Returns a {@link Set} view of the mappings contained in this map.
 863      *
 864      * <p>The set's iterator returns the entries in ascending key order. The
 865      * set's spliterator is
 866      * <em><a href="Spliterator.html#binding">late-binding</a></em>,
 867      * <em>fail-fast</em>, and additionally reports {@link Spliterator#SORTED} and
 868      * {@link Spliterator#ORDERED} with an encounter order that is ascending key
 869      * order.
 870      *
 871      * <p>The set is backed by the map, so changes to the map are
 872      * reflected in the set, and vice-versa.  If the map is modified
 873      * while an iteration over the set is in progress (except through
 874      * the iterator's own {@code remove} operation, or through the
 875      * {@code setValue} operation on a map entry returned by the
 876      * iterator) the results of the iteration are undefined.  The set
 877      * supports element removal, which removes the corresponding
 878      * mapping from the map, via the {@code Iterator.remove},
 879      * {@code Set.remove}, {@code removeAll}, {@code retainAll} and
 880      * {@code clear} operations.  It does not support the
 881      * {@code add} or {@code addAll} operations.
 882      */
 883     public Set<Map.Entry<K,V>> entrySet() {
 884         EntrySet es = entrySet;
 885         return (es != null) ? es : (entrySet = new EntrySet());
 886     }
 887 
 888     /**
 889      * @since 1.6
 890      */
 891     public NavigableMap<K, V> descendingMap() {
 892         NavigableMap<K, V> km = descendingMap;
 893         return (km != null) ? km :
 894             (descendingMap = new DescendingSubMap<>(this,
 895                                                     true, null, true,
 896                                                     true, null, true));
 897     }
 898 
 899     /**
 900      * @throws ClassCastException       {@inheritDoc}
 901      * @throws NullPointerException if {@code fromKey} or {@code toKey} is
 902      *         null and this map uses natural ordering, or its comparator
 903      *         does not permit null keys
 904      * @throws IllegalArgumentException {@inheritDoc}
 905      * @since 1.6
 906      */
 907     public NavigableMap<K,V> subMap(K fromKey, boolean fromInclusive,
 908                                     K toKey,   boolean toInclusive) {
 909         return new AscendingSubMap<>(this,
 910                                      false, fromKey, fromInclusive,
 911                                      false, toKey,   toInclusive);
 912     }
 913 
 914     /**
 915      * @throws ClassCastException       {@inheritDoc}
 916      * @throws NullPointerException if {@code toKey} is null
 917      *         and this map uses natural ordering, or its comparator
 918      *         does not permit null keys
 919      * @throws IllegalArgumentException {@inheritDoc}
 920      * @since 1.6
 921      */
 922     public NavigableMap<K,V> headMap(K toKey, boolean inclusive) {
 923         return new AscendingSubMap<>(this,
 924                                      true,  null,  true,
 925                                      false, toKey, inclusive);
 926     }
 927 
 928     /**
 929      * @throws ClassCastException       {@inheritDoc}
 930      * @throws NullPointerException if {@code fromKey} is null
 931      *         and this map uses natural ordering, or its comparator
 932      *         does not permit null keys
 933      * @throws IllegalArgumentException {@inheritDoc}
 934      * @since 1.6
 935      */
 936     public NavigableMap<K,V> tailMap(K fromKey, boolean inclusive) {
 937         return new AscendingSubMap<>(this,
 938                                      false, fromKey, inclusive,
 939                                      true,  null,    true);
 940     }
 941 
 942     /**
 943      * @throws ClassCastException       {@inheritDoc}
 944      * @throws NullPointerException if {@code fromKey} or {@code toKey} is
 945      *         null and this map uses natural ordering, or its comparator
 946      *         does not permit null keys
 947      * @throws IllegalArgumentException {@inheritDoc}
 948      */
 949     public SortedMap<K,V> subMap(K fromKey, K toKey) {
 950         return subMap(fromKey, true, toKey, false);
 951     }
 952 
 953     /**
 954      * @throws ClassCastException       {@inheritDoc}
 955      * @throws NullPointerException if {@code toKey} is null
 956      *         and this map uses natural ordering, or its comparator
 957      *         does not permit null keys
 958      * @throws IllegalArgumentException {@inheritDoc}
 959      */
 960     public SortedMap<K,V> headMap(K toKey) {
 961         return headMap(toKey, false);
 962     }
 963 
 964     /**
 965      * @throws ClassCastException       {@inheritDoc}
 966      * @throws NullPointerException if {@code fromKey} is null
 967      *         and this map uses natural ordering, or its comparator
 968      *         does not permit null keys
 969      * @throws IllegalArgumentException {@inheritDoc}
 970      */
 971     public SortedMap<K,V> tailMap(K fromKey) {
 972         return tailMap(fromKey, true);
 973     }
 974 
 975     @Override
 976     public boolean replace(K key, V oldValue, V newValue) {
 977         Entry<K,V> p = getEntry(key);
 978         if (p!=null && Objects.equals(oldValue, p.value)) {
 979             p.value = newValue;
 980             return true;
 981         }
 982         return false;
 983     }
 984 
 985     @Override
 986     public V replace(K key, V value) {
 987         Entry<K,V> p = getEntry(key);
 988         if (p!=null) {
 989             V oldValue = p.value;
 990             p.value = value;
 991             return oldValue;
 992         }
 993         return null;
 994     }
 995 
 996     @Override
 997     public void forEach(BiConsumer<? super K, ? super V> action) {
 998         Objects.requireNonNull(action);
 999         int expectedModCount = modCount;
1000         for (Entry<K, V> e = getFirstEntry(); e != null; e = successor(e)) {
1001             action.accept(e.key, e.value);
1002 
1003             if (expectedModCount != modCount) {
1004                 throw new ConcurrentModificationException();
1005             }
1006         }
1007     }
1008 
1009     @Override
1010     public void replaceAll(BiFunction<? super K, ? super V, ? extends V> function) {
1011         Objects.requireNonNull(function);
1012         int expectedModCount = modCount;
1013 
1014         for (Entry<K, V> e = getFirstEntry(); e != null; e = successor(e)) {
1015             e.value = function.apply(e.key, e.value);
1016 
1017             if (expectedModCount != modCount) {
1018                 throw new ConcurrentModificationException();
1019             }
1020         }
1021     }
1022 
1023     // View class support
1024 
1025     class Values extends AbstractCollection<V> {
1026         public Iterator<V> iterator() {
1027             return new ValueIterator(getFirstEntry());
1028         }
1029 
1030         public int size() {
1031             return TreeMap.this.size();
1032         }
1033 
1034         public boolean contains(Object o) {
1035             return TreeMap.this.containsValue(o);
1036         }
1037 
1038         public boolean remove(Object o) {
1039             for (Entry<K,V> e = getFirstEntry(); e != null; e = successor(e)) {
1040                 if (valEquals(e.getValue(), o)) {
1041                     deleteEntry(e);
1042                     return true;
1043                 }
1044             }
1045             return false;
1046         }
1047 
1048         public void clear() {
1049             TreeMap.this.clear();
1050         }
1051 
1052         public Spliterator<V> spliterator() {
1053             return new ValueSpliterator<>(TreeMap.this, null, null, 0, -1, 0);
1054         }
1055     }
1056 
1057     class EntrySet extends AbstractSet<Map.Entry<K,V>> {
1058         public Iterator<Map.Entry<K,V>> iterator() {
1059             return new EntryIterator(getFirstEntry());
1060         }
1061 
1062         public boolean contains(Object o) {
1063             if (!(o instanceof Map.Entry))
1064                 return false;
1065             Map.Entry<?,?> entry = (Map.Entry<?,?>) o;
1066             Object value = entry.getValue();
1067             Entry<K,V> p = getEntry(entry.getKey());
1068             return p != null && valEquals(p.getValue(), value);
1069         }
1070 
1071         public boolean remove(Object o) {
1072             if (!(o instanceof Map.Entry))
1073                 return false;
1074             Map.Entry<?,?> entry = (Map.Entry<?,?>) o;
1075             Object value = entry.getValue();
1076             Entry<K,V> p = getEntry(entry.getKey());
1077             if (p != null && valEquals(p.getValue(), value)) {
1078                 deleteEntry(p);
1079                 return true;
1080             }
1081             return false;
1082         }
1083 
1084         public int size() {
1085             return TreeMap.this.size();
1086         }
1087 
1088         public void clear() {
1089             TreeMap.this.clear();
1090         }
1091 
1092         public Spliterator<Map.Entry<K,V>> spliterator() {
1093             return new EntrySpliterator<>(TreeMap.this, null, null, 0, -1, 0);
1094         }
1095     }
1096 
1097     /*
1098      * Unlike Values and EntrySet, the KeySet class is static,
1099      * delegating to a NavigableMap to allow use by SubMaps, which
1100      * outweighs the ugliness of needing type-tests for the following
1101      * Iterator methods that are defined appropriately in main versus
1102      * submap classes.
1103      */
1104 
1105     Iterator<K> keyIterator() {
1106         return new KeyIterator(getFirstEntry());
1107     }
1108 
1109     Iterator<K> descendingKeyIterator() {
1110         return new DescendingKeyIterator(getLastEntry());
1111     }
1112 
1113     static final class KeySet<E> extends AbstractSet<E> implements NavigableSet<E> {
1114         private final NavigableMap<E, ?> m;
1115         KeySet(NavigableMap<E,?> map) { m = map; }
1116 
1117         public Iterator<E> iterator() {
1118             if (m instanceof TreeMap)
1119                 return ((TreeMap<E,?>)m).keyIterator();
1120             else
1121                 return ((TreeMap.NavigableSubMap<E,?>)m).keyIterator();
1122         }
1123 
1124         public Iterator<E> descendingIterator() {
1125             if (m instanceof TreeMap)
1126                 return ((TreeMap<E,?>)m).descendingKeyIterator();
1127             else
1128                 return ((TreeMap.NavigableSubMap<E,?>)m).descendingKeyIterator();
1129         }
1130 
1131         public int size() { return m.size(); }
1132         public boolean isEmpty() { return m.isEmpty(); }
1133         public boolean contains(Object o) { return m.containsKey(o); }
1134         public void clear() { m.clear(); }
1135         public E lower(E e) { return m.lowerKey(e); }
1136         public E floor(E e) { return m.floorKey(e); }
1137         public E ceiling(E e) { return m.ceilingKey(e); }
1138         public E higher(E e) { return m.higherKey(e); }
1139         public E first() { return m.firstKey(); }
1140         public E last() { return m.lastKey(); }
1141         public Comparator<? super E> comparator() { return m.comparator(); }
1142         public E pollFirst() {
1143             Map.Entry<E,?> e = m.pollFirstEntry();
1144             return (e == null) ? null : e.getKey();
1145         }
1146         public E pollLast() {
1147             Map.Entry<E,?> e = m.pollLastEntry();
1148             return (e == null) ? null : e.getKey();
1149         }
1150         public boolean remove(Object o) {
1151             int oldSize = size();
1152             m.remove(o);
1153             return size() != oldSize;
1154         }
1155         public NavigableSet<E> subSet(E fromElement, boolean fromInclusive,
1156                                       E toElement,   boolean toInclusive) {
1157             return new KeySet<>(m.subMap(fromElement, fromInclusive,
1158                                           toElement,   toInclusive));
1159         }
1160         public NavigableSet<E> headSet(E toElement, boolean inclusive) {
1161             return new KeySet<>(m.headMap(toElement, inclusive));
1162         }
1163         public NavigableSet<E> tailSet(E fromElement, boolean inclusive) {
1164             return new KeySet<>(m.tailMap(fromElement, inclusive));
1165         }
1166         public SortedSet<E> subSet(E fromElement, E toElement) {
1167             return subSet(fromElement, true, toElement, false);
1168         }
1169         public SortedSet<E> headSet(E toElement) {
1170             return headSet(toElement, false);
1171         }
1172         public SortedSet<E> tailSet(E fromElement) {
1173             return tailSet(fromElement, true);
1174         }
1175         public NavigableSet<E> descendingSet() {
1176             return new KeySet<>(m.descendingMap());
1177         }
1178 
1179         public Spliterator<E> spliterator() {
1180             return keySpliteratorFor(m);
1181         }
1182     }
1183 
1184     /**
1185      * Base class for TreeMap Iterators
1186      */
1187     abstract class PrivateEntryIterator<T> implements Iterator<T> {
1188         Entry<K,V> next;
1189         Entry<K,V> lastReturned;
1190         int expectedModCount;
1191 
1192         PrivateEntryIterator(Entry<K,V> first) {
1193             expectedModCount = modCount;
1194             lastReturned = null;
1195             next = first;
1196         }
1197 
1198         public final boolean hasNext() {
1199             return next != null;
1200         }
1201 
1202         final Entry<K,V> nextEntry() {
1203             Entry<K,V> e = next;
1204             if (e == null)
1205                 throw new NoSuchElementException();
1206             if (modCount != expectedModCount)
1207                 throw new ConcurrentModificationException();
1208             next = successor(e);
1209             lastReturned = e;
1210             return e;
1211         }
1212 
1213         final Entry<K,V> prevEntry() {
1214             Entry<K,V> e = next;
1215             if (e == null)
1216                 throw new NoSuchElementException();
1217             if (modCount != expectedModCount)
1218                 throw new ConcurrentModificationException();
1219             next = predecessor(e);
1220             lastReturned = e;
1221             return e;
1222         }
1223 
1224         public void remove() {
1225             if (lastReturned == null)
1226                 throw new IllegalStateException();
1227             if (modCount != expectedModCount)
1228                 throw new ConcurrentModificationException();
1229             // deleted entries are replaced by their successors
1230             if (lastReturned.left != null && lastReturned.right != null)
1231                 next = lastReturned;
1232             deleteEntry(lastReturned);
1233             expectedModCount = modCount;
1234             lastReturned = null;
1235         }
1236     }
1237 
1238     final class EntryIterator extends PrivateEntryIterator<Map.Entry<K,V>> {
1239         EntryIterator(Entry<K,V> first) {
1240             super(first);
1241         }
1242         public Map.Entry<K,V> next() {
1243             return nextEntry();
1244         }
1245     }
1246 
1247     final class ValueIterator extends PrivateEntryIterator<V> {
1248         ValueIterator(Entry<K,V> first) {
1249             super(first);
1250         }
1251         public V next() {
1252             return nextEntry().value;
1253         }
1254     }
1255 
1256     final class KeyIterator extends PrivateEntryIterator<K> {
1257         KeyIterator(Entry<K,V> first) {
1258             super(first);
1259         }
1260         public K next() {
1261             return nextEntry().key;
1262         }
1263     }
1264 
1265     final class DescendingKeyIterator extends PrivateEntryIterator<K> {
1266         DescendingKeyIterator(Entry<K,V> first) {
1267             super(first);
1268         }
1269         public K next() {
1270             return prevEntry().key;
1271         }
1272         public void remove() {
1273             if (lastReturned == null)
1274                 throw new IllegalStateException();
1275             if (modCount != expectedModCount)
1276                 throw new ConcurrentModificationException();
1277             deleteEntry(lastReturned);
1278             lastReturned = null;
1279             expectedModCount = modCount;
1280         }
1281     }
1282 
1283     // Little utilities
1284 
1285     /**
1286      * Compares two keys using the correct comparison method for this TreeMap.
1287      */
1288     @SuppressWarnings("unchecked")
1289     final int compare(Object k1, Object k2) {
1290         return comparator==null ? ((Comparable<? super K>)k1).compareTo((K)k2)
1291             : comparator.compare((K)k1, (K)k2);
1292     }
1293 
1294     /**
1295      * Test two values for equality.  Differs from o1.equals(o2) only in
1296      * that it copes with {@code null} o1 properly.
1297      */
1298     static final boolean valEquals(Object o1, Object o2) {
1299         return (o1==null ? o2==null : o1.equals(o2));
1300     }
1301 
1302     /**
1303      * Return SimpleImmutableEntry for entry, or null if null
1304      */
1305     static <K,V> Map.Entry<K,V> exportEntry(TreeMap.Entry<K,V> e) {
1306         return (e == null) ? null :
1307             new AbstractMap.SimpleImmutableEntry<>(e);
1308     }
1309 
1310     /**
1311      * Return key for entry, or null if null
1312      */
1313     static <K,V> K keyOrNull(TreeMap.Entry<K,V> e) {
1314         return (e == null) ? null : e.key;
1315     }
1316 
1317     /**
1318      * Returns the key corresponding to the specified Entry.
1319      * @throws NoSuchElementException if the Entry is null
1320      */
1321     static <K> K key(Entry<K,?> e) {
1322         if (e==null)
1323             throw new NoSuchElementException();
1324         return e.key;
1325     }
1326 
1327 
1328     // SubMaps
1329 
1330     /**
1331      * Dummy value serving as unmatchable fence key for unbounded
1332      * SubMapIterators
1333      */
1334     private static final Object UNBOUNDED = new Object();
1335 
1336     /**
1337      * @serial include
1338      */
1339     abstract static class NavigableSubMap<K,V> extends AbstractMap<K,V>
1340         implements NavigableMap<K,V>, java.io.Serializable {
1341         @java.io.Serial
1342         private static final long serialVersionUID = -2102997345730753016L;
1343         /**
1344          * The backing map.
1345          */
1346         final TreeMap<K,V> m;
1347 
1348         /**
1349          * Endpoints are represented as triples (fromStart, lo,
1350          * loInclusive) and (toEnd, hi, hiInclusive). If fromStart is
1351          * true, then the low (absolute) bound is the start of the
1352          * backing map, and the other values are ignored. Otherwise,
1353          * if loInclusive is true, lo is the inclusive bound, else lo
1354          * is the exclusive bound. Similarly for the upper bound.
1355          */
1356         final K lo, hi;
1357         final boolean fromStart, toEnd;
1358         final boolean loInclusive, hiInclusive;
1359 
1360         NavigableSubMap(TreeMap<K,V> m,
1361                         boolean fromStart, K lo, boolean loInclusive,
1362                         boolean toEnd,     K hi, boolean hiInclusive) {
1363             if (!fromStart && !toEnd) {
1364                 if (m.compare(lo, hi) > 0)
1365                     throw new IllegalArgumentException("fromKey > toKey");
1366             } else {
1367                 if (!fromStart) // type check
1368                     m.compare(lo, lo);
1369                 if (!toEnd)
1370                     m.compare(hi, hi);
1371             }
1372 
1373             this.m = m;
1374             this.fromStart = fromStart;
1375             this.lo = lo;
1376             this.loInclusive = loInclusive;
1377             this.toEnd = toEnd;
1378             this.hi = hi;
1379             this.hiInclusive = hiInclusive;
1380         }
1381 
1382         // internal utilities
1383 
1384         final boolean tooLow(Object key) {
1385             if (!fromStart) {
1386                 int c = m.compare(key, lo);
1387                 if (c < 0 || (c == 0 && !loInclusive))
1388                     return true;
1389             }
1390             return false;
1391         }
1392 
1393         final boolean tooHigh(Object key) {
1394             if (!toEnd) {
1395                 int c = m.compare(key, hi);
1396                 if (c > 0 || (c == 0 && !hiInclusive))
1397                     return true;
1398             }
1399             return false;
1400         }
1401 
1402         final boolean inRange(Object key) {
1403             return !tooLow(key) && !tooHigh(key);
1404         }
1405 
1406         final boolean inClosedRange(Object key) {
1407             return (fromStart || m.compare(key, lo) >= 0)
1408                 && (toEnd || m.compare(hi, key) >= 0);
1409         }
1410 
1411         final boolean inRange(Object key, boolean inclusive) {
1412             return inclusive ? inRange(key) : inClosedRange(key);
1413         }
1414 
1415         /*
1416          * Absolute versions of relation operations.
1417          * Subclasses map to these using like-named "sub"
1418          * versions that invert senses for descending maps
1419          */
1420 
1421         final TreeMap.Entry<K,V> absLowest() {
1422             TreeMap.Entry<K,V> e =
1423                 (fromStart ?  m.getFirstEntry() :
1424                  (loInclusive ? m.getCeilingEntry(lo) :
1425                                 m.getHigherEntry(lo)));
1426             return (e == null || tooHigh(e.key)) ? null : e;
1427         }
1428 
1429         final TreeMap.Entry<K,V> absHighest() {
1430             TreeMap.Entry<K,V> e =
1431                 (toEnd ?  m.getLastEntry() :
1432                  (hiInclusive ?  m.getFloorEntry(hi) :
1433                                  m.getLowerEntry(hi)));
1434             return (e == null || tooLow(e.key)) ? null : e;
1435         }
1436 
1437         final TreeMap.Entry<K,V> absCeiling(K key) {
1438             if (tooLow(key))
1439                 return absLowest();
1440             TreeMap.Entry<K,V> e = m.getCeilingEntry(key);
1441             return (e == null || tooHigh(e.key)) ? null : e;
1442         }
1443 
1444         final TreeMap.Entry<K,V> absHigher(K key) {
1445             if (tooLow(key))
1446                 return absLowest();
1447             TreeMap.Entry<K,V> e = m.getHigherEntry(key);
1448             return (e == null || tooHigh(e.key)) ? null : e;
1449         }
1450 
1451         final TreeMap.Entry<K,V> absFloor(K key) {
1452             if (tooHigh(key))
1453                 return absHighest();
1454             TreeMap.Entry<K,V> e = m.getFloorEntry(key);
1455             return (e == null || tooLow(e.key)) ? null : e;
1456         }
1457 
1458         final TreeMap.Entry<K,V> absLower(K key) {
1459             if (tooHigh(key))
1460                 return absHighest();
1461             TreeMap.Entry<K,V> e = m.getLowerEntry(key);
1462             return (e == null || tooLow(e.key)) ? null : e;
1463         }
1464 
1465         /** Returns the absolute high fence for ascending traversal */
1466         final TreeMap.Entry<K,V> absHighFence() {
1467             return (toEnd ? null : (hiInclusive ?
1468                                     m.getHigherEntry(hi) :
1469                                     m.getCeilingEntry(hi)));
1470         }
1471 
1472         /** Return the absolute low fence for descending traversal  */
1473         final TreeMap.Entry<K,V> absLowFence() {
1474             return (fromStart ? null : (loInclusive ?
1475                                         m.getLowerEntry(lo) :
1476                                         m.getFloorEntry(lo)));
1477         }
1478 
1479         // Abstract methods defined in ascending vs descending classes
1480         // These relay to the appropriate absolute versions
1481 
1482         abstract TreeMap.Entry<K,V> subLowest();
1483         abstract TreeMap.Entry<K,V> subHighest();
1484         abstract TreeMap.Entry<K,V> subCeiling(K key);
1485         abstract TreeMap.Entry<K,V> subHigher(K key);
1486         abstract TreeMap.Entry<K,V> subFloor(K key);
1487         abstract TreeMap.Entry<K,V> subLower(K key);
1488 
1489         /** Returns ascending iterator from the perspective of this submap */
1490         abstract Iterator<K> keyIterator();
1491 
1492         abstract Spliterator<K> keySpliterator();
1493 
1494         /** Returns descending iterator from the perspective of this submap */
1495         abstract Iterator<K> descendingKeyIterator();
1496 
1497         // public methods
1498 
1499         public boolean isEmpty() {
1500             return (fromStart && toEnd) ? m.isEmpty() : entrySet().isEmpty();
1501         }
1502 
1503         public int size() {
1504             return (fromStart && toEnd) ? m.size() : entrySet().size();
1505         }
1506 
1507         public final boolean containsKey(Object key) {
1508             return inRange(key) && m.containsKey(key);
1509         }
1510 
1511         public final V put(K key, V value) {
1512             if (!inRange(key))
1513                 throw new IllegalArgumentException("key out of range");
1514             return m.put(key, value);
1515         }
1516 
1517         public final V get(Object key) {
1518             return !inRange(key) ? null :  m.get(key);
1519         }
1520 
1521         public final V remove(Object key) {
1522             return !inRange(key) ? null : m.remove(key);
1523         }
1524 
1525         public final Map.Entry<K,V> ceilingEntry(K key) {
1526             return exportEntry(subCeiling(key));
1527         }
1528 
1529         public final K ceilingKey(K key) {
1530             return keyOrNull(subCeiling(key));
1531         }
1532 
1533         public final Map.Entry<K,V> higherEntry(K key) {
1534             return exportEntry(subHigher(key));
1535         }
1536 
1537         public final K higherKey(K key) {
1538             return keyOrNull(subHigher(key));
1539         }
1540 
1541         public final Map.Entry<K,V> floorEntry(K key) {
1542             return exportEntry(subFloor(key));
1543         }
1544 
1545         public final K floorKey(K key) {
1546             return keyOrNull(subFloor(key));
1547         }
1548 
1549         public final Map.Entry<K,V> lowerEntry(K key) {
1550             return exportEntry(subLower(key));
1551         }
1552 
1553         public final K lowerKey(K key) {
1554             return keyOrNull(subLower(key));
1555         }
1556 
1557         public final K firstKey() {
1558             return key(subLowest());
1559         }
1560 
1561         public final K lastKey() {
1562             return key(subHighest());
1563         }
1564 
1565         public final Map.Entry<K,V> firstEntry() {
1566             return exportEntry(subLowest());
1567         }
1568 
1569         public final Map.Entry<K,V> lastEntry() {
1570             return exportEntry(subHighest());
1571         }
1572 
1573         public final Map.Entry<K,V> pollFirstEntry() {
1574             TreeMap.Entry<K,V> e = subLowest();
1575             Map.Entry<K,V> result = exportEntry(e);
1576             if (e != null)
1577                 m.deleteEntry(e);
1578             return result;
1579         }
1580 
1581         public final Map.Entry<K,V> pollLastEntry() {
1582             TreeMap.Entry<K,V> e = subHighest();
1583             Map.Entry<K,V> result = exportEntry(e);
1584             if (e != null)
1585                 m.deleteEntry(e);
1586             return result;
1587         }
1588 
1589         // Views
1590         transient NavigableMap<K,V> descendingMapView;
1591         transient EntrySetView entrySetView;
1592         transient KeySet<K> navigableKeySetView;
1593 
1594         public final NavigableSet<K> navigableKeySet() {
1595             KeySet<K> nksv = navigableKeySetView;
1596             return (nksv != null) ? nksv :
1597                 (navigableKeySetView = new TreeMap.KeySet<>(this));
1598         }
1599 
1600         public final Set<K> keySet() {
1601             return navigableKeySet();
1602         }
1603 
1604         public NavigableSet<K> descendingKeySet() {
1605             return descendingMap().navigableKeySet();
1606         }
1607 
1608         public final SortedMap<K,V> subMap(K fromKey, K toKey) {
1609             return subMap(fromKey, true, toKey, false);
1610         }
1611 
1612         public final SortedMap<K,V> headMap(K toKey) {
1613             return headMap(toKey, false);
1614         }
1615 
1616         public final SortedMap<K,V> tailMap(K fromKey) {
1617             return tailMap(fromKey, true);
1618         }
1619 
1620         // View classes
1621 
1622         abstract class EntrySetView extends AbstractSet<Map.Entry<K,V>> {
1623             private transient int size = -1, sizeModCount;
1624 
1625             public int size() {
1626                 if (fromStart && toEnd)
1627                     return m.size();
1628                 if (size == -1 || sizeModCount != m.modCount) {
1629                     sizeModCount = m.modCount;
1630                     size = 0;
1631                     Iterator<?> i = iterator();
1632                     while (i.hasNext()) {
1633                         size++;
1634                         i.next();
1635                     }
1636                 }
1637                 return size;
1638             }
1639 
1640             public boolean isEmpty() {
1641                 TreeMap.Entry<K,V> n = absLowest();
1642                 return n == null || tooHigh(n.key);
1643             }
1644 
1645             public boolean contains(Object o) {
1646                 if (!(o instanceof Map.Entry))
1647                     return false;
1648                 Map.Entry<?,?> entry = (Map.Entry<?,?>) o;
1649                 Object key = entry.getKey();
1650                 if (!inRange(key))
1651                     return false;
1652                 TreeMap.Entry<?,?> node = m.getEntry(key);
1653                 return node != null &&
1654                     valEquals(node.getValue(), entry.getValue());
1655             }
1656 
1657             public boolean remove(Object o) {
1658                 if (!(o instanceof Map.Entry))
1659                     return false;
1660                 Map.Entry<?,?> entry = (Map.Entry<?,?>) o;
1661                 Object key = entry.getKey();
1662                 if (!inRange(key))
1663                     return false;
1664                 TreeMap.Entry<K,V> node = m.getEntry(key);
1665                 if (node!=null && valEquals(node.getValue(),
1666                                             entry.getValue())) {
1667                     m.deleteEntry(node);
1668                     return true;
1669                 }
1670                 return false;
1671             }
1672         }
1673 
1674         /**
1675          * Iterators for SubMaps
1676          */
1677         abstract class SubMapIterator<T> implements Iterator<T> {
1678             TreeMap.Entry<K,V> lastReturned;
1679             TreeMap.Entry<K,V> next;
1680             final Object fenceKey;
1681             int expectedModCount;
1682 
1683             SubMapIterator(TreeMap.Entry<K,V> first,
1684                            TreeMap.Entry<K,V> fence) {
1685                 expectedModCount = m.modCount;
1686                 lastReturned = null;
1687                 next = first;
1688                 fenceKey = fence == null ? UNBOUNDED : fence.key;
1689             }
1690 
1691             public final boolean hasNext() {
1692                 return next != null && next.key != fenceKey;
1693             }
1694 
1695             final TreeMap.Entry<K,V> nextEntry() {
1696                 TreeMap.Entry<K,V> e = next;
1697                 if (e == null || e.key == fenceKey)
1698                     throw new NoSuchElementException();
1699                 if (m.modCount != expectedModCount)
1700                     throw new ConcurrentModificationException();
1701                 next = successor(e);
1702                 lastReturned = e;
1703                 return e;
1704             }
1705 
1706             final TreeMap.Entry<K,V> prevEntry() {
1707                 TreeMap.Entry<K,V> e = next;
1708                 if (e == null || e.key == fenceKey)
1709                     throw new NoSuchElementException();
1710                 if (m.modCount != expectedModCount)
1711                     throw new ConcurrentModificationException();
1712                 next = predecessor(e);
1713                 lastReturned = e;
1714                 return e;
1715             }
1716 
1717             final void removeAscending() {
1718                 if (lastReturned == null)
1719                     throw new IllegalStateException();
1720                 if (m.modCount != expectedModCount)
1721                     throw new ConcurrentModificationException();
1722                 // deleted entries are replaced by their successors
1723                 if (lastReturned.left != null && lastReturned.right != null)
1724                     next = lastReturned;
1725                 m.deleteEntry(lastReturned);
1726                 lastReturned = null;
1727                 expectedModCount = m.modCount;
1728             }
1729 
1730             final void removeDescending() {
1731                 if (lastReturned == null)
1732                     throw new IllegalStateException();
1733                 if (m.modCount != expectedModCount)
1734                     throw new ConcurrentModificationException();
1735                 m.deleteEntry(lastReturned);
1736                 lastReturned = null;
1737                 expectedModCount = m.modCount;
1738             }
1739 
1740         }
1741 
1742         final class SubMapEntryIterator extends SubMapIterator<Map.Entry<K,V>> {
1743             SubMapEntryIterator(TreeMap.Entry<K,V> first,
1744                                 TreeMap.Entry<K,V> fence) {
1745                 super(first, fence);
1746             }
1747             public Map.Entry<K,V> next() {
1748                 return nextEntry();
1749             }
1750             public void remove() {
1751                 removeAscending();
1752             }
1753         }
1754 
1755         final class DescendingSubMapEntryIterator extends SubMapIterator<Map.Entry<K,V>> {
1756             DescendingSubMapEntryIterator(TreeMap.Entry<K,V> last,
1757                                           TreeMap.Entry<K,V> fence) {
1758                 super(last, fence);
1759             }
1760 
1761             public Map.Entry<K,V> next() {
1762                 return prevEntry();
1763             }
1764             public void remove() {
1765                 removeDescending();
1766             }
1767         }
1768 
1769         // Implement minimal Spliterator as KeySpliterator backup
1770         final class SubMapKeyIterator extends SubMapIterator<K>
1771             implements Spliterator<K> {
1772             SubMapKeyIterator(TreeMap.Entry<K,V> first,
1773                               TreeMap.Entry<K,V> fence) {
1774                 super(first, fence);
1775             }
1776             public K next() {
1777                 return nextEntry().key;
1778             }
1779             public void remove() {
1780                 removeAscending();
1781             }
1782             public Spliterator<K> trySplit() {
1783                 return null;
1784             }
1785             public void forEachRemaining(Consumer<? super K> action) {
1786                 while (hasNext())
1787                     action.accept(next());
1788             }
1789             public boolean tryAdvance(Consumer<? super K> action) {
1790                 if (hasNext()) {
1791                     action.accept(next());
1792                     return true;
1793                 }
1794                 return false;
1795             }
1796             public long estimateSize() {
1797                 return Long.MAX_VALUE;
1798             }
1799             public int characteristics() {
1800                 return Spliterator.DISTINCT | Spliterator.ORDERED |
1801                     Spliterator.SORTED;
1802             }
1803             public final Comparator<? super K>  getComparator() {
1804                 return NavigableSubMap.this.comparator();
1805             }
1806         }
1807 
1808         final class DescendingSubMapKeyIterator extends SubMapIterator<K>
1809             implements Spliterator<K> {
1810             DescendingSubMapKeyIterator(TreeMap.Entry<K,V> last,
1811                                         TreeMap.Entry<K,V> fence) {
1812                 super(last, fence);
1813             }
1814             public K next() {
1815                 return prevEntry().key;
1816             }
1817             public void remove() {
1818                 removeDescending();
1819             }
1820             public Spliterator<K> trySplit() {
1821                 return null;
1822             }
1823             public void forEachRemaining(Consumer<? super K> action) {
1824                 while (hasNext())
1825                     action.accept(next());
1826             }
1827             public boolean tryAdvance(Consumer<? super K> action) {
1828                 if (hasNext()) {
1829                     action.accept(next());
1830                     return true;
1831                 }
1832                 return false;
1833             }
1834             public long estimateSize() {
1835                 return Long.MAX_VALUE;
1836             }
1837             public int characteristics() {
1838                 return Spliterator.DISTINCT | Spliterator.ORDERED;
1839             }
1840         }
1841     }
1842 
1843     /**
1844      * @serial include
1845      */
1846     static final class AscendingSubMap<K,V> extends NavigableSubMap<K,V> {
1847         @java.io.Serial
1848         private static final long serialVersionUID = 912986545866124060L;
1849 
1850         AscendingSubMap(TreeMap<K,V> m,
1851                         boolean fromStart, K lo, boolean loInclusive,
1852                         boolean toEnd,     K hi, boolean hiInclusive) {
1853             super(m, fromStart, lo, loInclusive, toEnd, hi, hiInclusive);
1854         }
1855 
1856         public Comparator<? super K> comparator() {
1857             return m.comparator();
1858         }
1859 
1860         public NavigableMap<K,V> subMap(K fromKey, boolean fromInclusive,
1861                                         K toKey,   boolean toInclusive) {
1862             if (!inRange(fromKey, fromInclusive))
1863                 throw new IllegalArgumentException("fromKey out of range");
1864             if (!inRange(toKey, toInclusive))
1865                 throw new IllegalArgumentException("toKey out of range");
1866             return new AscendingSubMap<>(m,
1867                                          false, fromKey, fromInclusive,
1868                                          false, toKey,   toInclusive);
1869         }
1870 
1871         public NavigableMap<K,V> headMap(K toKey, boolean inclusive) {
1872             if (!inRange(toKey, inclusive))
1873                 throw new IllegalArgumentException("toKey out of range");
1874             return new AscendingSubMap<>(m,
1875                                          fromStart, lo,    loInclusive,
1876                                          false,     toKey, inclusive);
1877         }
1878 
1879         public NavigableMap<K,V> tailMap(K fromKey, boolean inclusive) {
1880             if (!inRange(fromKey, inclusive))
1881                 throw new IllegalArgumentException("fromKey out of range");
1882             return new AscendingSubMap<>(m,
1883                                          false, fromKey, inclusive,
1884                                          toEnd, hi,      hiInclusive);
1885         }
1886 
1887         public NavigableMap<K,V> descendingMap() {
1888             NavigableMap<K,V> mv = descendingMapView;
1889             return (mv != null) ? mv :
1890                 (descendingMapView =
1891                  new DescendingSubMap<>(m,
1892                                         fromStart, lo, loInclusive,
1893                                         toEnd,     hi, hiInclusive));
1894         }
1895 
1896         Iterator<K> keyIterator() {
1897             return new SubMapKeyIterator(absLowest(), absHighFence());
1898         }
1899 
1900         Spliterator<K> keySpliterator() {
1901             return new SubMapKeyIterator(absLowest(), absHighFence());
1902         }
1903 
1904         Iterator<K> descendingKeyIterator() {
1905             return new DescendingSubMapKeyIterator(absHighest(), absLowFence());
1906         }
1907 
1908         final class AscendingEntrySetView extends EntrySetView {
1909             public Iterator<Map.Entry<K,V>> iterator() {
1910                 return new SubMapEntryIterator(absLowest(), absHighFence());
1911             }
1912         }
1913 
1914         public Set<Map.Entry<K,V>> entrySet() {
1915             EntrySetView es = entrySetView;
1916             return (es != null) ? es : (entrySetView = new AscendingEntrySetView());
1917         }
1918 
1919         TreeMap.Entry<K,V> subLowest()       { return absLowest(); }
1920         TreeMap.Entry<K,V> subHighest()      { return absHighest(); }
1921         TreeMap.Entry<K,V> subCeiling(K key) { return absCeiling(key); }
1922         TreeMap.Entry<K,V> subHigher(K key)  { return absHigher(key); }
1923         TreeMap.Entry<K,V> subFloor(K key)   { return absFloor(key); }
1924         TreeMap.Entry<K,V> subLower(K key)   { return absLower(key); }
1925     }
1926 
1927     /**
1928      * @serial include
1929      */
1930     static final class DescendingSubMap<K,V>  extends NavigableSubMap<K,V> {
1931         @java.io.Serial
1932         private static final long serialVersionUID = 912986545866120460L;
1933         DescendingSubMap(TreeMap<K,V> m,
1934                         boolean fromStart, K lo, boolean loInclusive,
1935                         boolean toEnd,     K hi, boolean hiInclusive) {
1936             super(m, fromStart, lo, loInclusive, toEnd, hi, hiInclusive);
1937         }
1938 
1939         private final Comparator<? super K> reverseComparator =
1940             Collections.reverseOrder(m.comparator);
1941 
1942         public Comparator<? super K> comparator() {
1943             return reverseComparator;
1944         }
1945 
1946         public NavigableMap<K,V> subMap(K fromKey, boolean fromInclusive,
1947                                         K toKey,   boolean toInclusive) {
1948             if (!inRange(fromKey, fromInclusive))
1949                 throw new IllegalArgumentException("fromKey out of range");
1950             if (!inRange(toKey, toInclusive))
1951                 throw new IllegalArgumentException("toKey out of range");
1952             return new DescendingSubMap<>(m,
1953                                           false, toKey,   toInclusive,
1954                                           false, fromKey, fromInclusive);
1955         }
1956 
1957         public NavigableMap<K,V> headMap(K toKey, boolean inclusive) {
1958             if (!inRange(toKey, inclusive))
1959                 throw new IllegalArgumentException("toKey out of range");
1960             return new DescendingSubMap<>(m,
1961                                           false, toKey, inclusive,
1962                                           toEnd, hi,    hiInclusive);
1963         }
1964 
1965         public NavigableMap<K,V> tailMap(K fromKey, boolean inclusive) {
1966             if (!inRange(fromKey, inclusive))
1967                 throw new IllegalArgumentException("fromKey out of range");
1968             return new DescendingSubMap<>(m,
1969                                           fromStart, lo, loInclusive,
1970                                           false, fromKey, inclusive);
1971         }
1972 
1973         public NavigableMap<K,V> descendingMap() {
1974             NavigableMap<K,V> mv = descendingMapView;
1975             return (mv != null) ? mv :
1976                 (descendingMapView =
1977                  new AscendingSubMap<>(m,
1978                                        fromStart, lo, loInclusive,
1979                                        toEnd,     hi, hiInclusive));
1980         }
1981 
1982         Iterator<K> keyIterator() {
1983             return new DescendingSubMapKeyIterator(absHighest(), absLowFence());
1984         }
1985 
1986         Spliterator<K> keySpliterator() {
1987             return new DescendingSubMapKeyIterator(absHighest(), absLowFence());
1988         }
1989 
1990         Iterator<K> descendingKeyIterator() {
1991             return new SubMapKeyIterator(absLowest(), absHighFence());
1992         }
1993 
1994         final class DescendingEntrySetView extends EntrySetView {
1995             public Iterator<Map.Entry<K,V>> iterator() {
1996                 return new DescendingSubMapEntryIterator(absHighest(), absLowFence());
1997             }
1998         }
1999 
2000         public Set<Map.Entry<K,V>> entrySet() {
2001             EntrySetView es = entrySetView;
2002             return (es != null) ? es : (entrySetView = new DescendingEntrySetView());
2003         }
2004 
2005         TreeMap.Entry<K,V> subLowest()       { return absHighest(); }
2006         TreeMap.Entry<K,V> subHighest()      { return absLowest(); }
2007         TreeMap.Entry<K,V> subCeiling(K key) { return absFloor(key); }
2008         TreeMap.Entry<K,V> subHigher(K key)  { return absLower(key); }
2009         TreeMap.Entry<K,V> subFloor(K key)   { return absCeiling(key); }
2010         TreeMap.Entry<K,V> subLower(K key)   { return absHigher(key); }
2011     }
2012 
2013     /**
2014      * This class exists solely for the sake of serialization
2015      * compatibility with previous releases of TreeMap that did not
2016      * support NavigableMap.  It translates an old-version SubMap into
2017      * a new-version AscendingSubMap. This class is never otherwise
2018      * used.
2019      *
2020      * @serial include
2021      */
2022     private class SubMap extends AbstractMap<K,V>
2023         implements SortedMap<K,V>, java.io.Serializable {
2024         @java.io.Serial
2025         private static final long serialVersionUID = -6520786458950516097L;
2026         private boolean fromStart = false, toEnd = false;
2027         private K fromKey, toKey;
2028         @java.io.Serial
2029         private Object readResolve() {
2030             return new AscendingSubMap<>(TreeMap.this,
2031                                          fromStart, fromKey, true,
2032                                          toEnd, toKey, false);
2033         }
2034         public Set<Map.Entry<K,V>> entrySet() { throw new InternalError(); }
2035         public K lastKey() { throw new InternalError(); }
2036         public K firstKey() { throw new InternalError(); }
2037         public SortedMap<K,V> subMap(K fromKey, K toKey) { throw new InternalError(); }
2038         public SortedMap<K,V> headMap(K toKey) { throw new InternalError(); }
2039         public SortedMap<K,V> tailMap(K fromKey) { throw new InternalError(); }
2040         public Comparator<? super K> comparator() { throw new InternalError(); }
2041     }
2042 
2043 
2044     // Red-black mechanics
2045 
2046     private static final boolean RED   = false;
2047     private static final boolean BLACK = true;
2048 
2049     /**
2050      * Node in the Tree.  Doubles as a means to pass key-value pairs back to
2051      * user (see Map.Entry).
2052      */
2053 
2054     static final class Entry<K,V> implements Map.Entry<K,V> {
2055         K key;
2056         V value;
2057         Entry<K,V> left;
2058         Entry<K,V> right;
2059         Entry<K,V> parent;
2060         boolean color = BLACK;
2061 
2062         /**
2063          * Make a new cell with given key, value, and parent, and with
2064          * {@code null} child links, and BLACK color.
2065          */
2066         Entry(K key, V value, Entry<K,V> parent) {
2067             this.key = key;
2068             this.value = value;
2069             this.parent = parent;
2070         }
2071 
2072         /**
2073          * Returns the key.
2074          *
2075          * @return the key
2076          */
2077         public K getKey() {
2078             return key;
2079         }
2080 
2081         /**
2082          * Returns the value associated with the key.
2083          *
2084          * @return the value associated with the key
2085          */
2086         public V getValue() {
2087             return value;
2088         }
2089 
2090         /**
2091          * Replaces the value currently associated with the key with the given
2092          * value.
2093          *
2094          * @return the value associated with the key before this method was
2095          *         called
2096          */
2097         public V setValue(V value) {
2098             V oldValue = this.value;
2099             this.value = value;
2100             return oldValue;
2101         }
2102 
2103         public boolean equals(Object o) {
2104             if (!(o instanceof Map.Entry))
2105                 return false;
2106             Map.Entry<?,?> e = (Map.Entry<?,?>)o;
2107 
2108             return valEquals(key,e.getKey()) && valEquals(value,e.getValue());
2109         }
2110 
2111         public int hashCode() {
2112             int keyHash = (key==null ? 0 : key.hashCode());
2113             int valueHash = (value==null ? 0 : value.hashCode());
2114             return keyHash ^ valueHash;
2115         }
2116 
2117         public String toString() {
2118             return key + "=" + value;
2119         }
2120     }
2121 
2122     /**
2123      * Returns the first Entry in the TreeMap (according to the TreeMap's
2124      * key-sort function).  Returns null if the TreeMap is empty.
2125      */
2126     final Entry<K,V> getFirstEntry() {
2127         Entry<K,V> p = root;
2128         if (p != null)
2129             while (p.left != null)
2130                 p = p.left;
2131         return p;
2132     }
2133 
2134     /**
2135      * Returns the last Entry in the TreeMap (according to the TreeMap's
2136      * key-sort function).  Returns null if the TreeMap is empty.
2137      */
2138     final Entry<K,V> getLastEntry() {
2139         Entry<K,V> p = root;
2140         if (p != null)
2141             while (p.right != null)
2142                 p = p.right;
2143         return p;
2144     }
2145 
2146     /**
2147      * Returns the successor of the specified Entry, or null if no such.
2148      */
2149     static <K,V> TreeMap.Entry<K,V> successor(Entry<K,V> t) {
2150         if (t == null)
2151             return null;
2152         else if (t.right != null) {
2153             Entry<K,V> p = t.right;
2154             while (p.left != null)
2155                 p = p.left;
2156             return p;
2157         } else {
2158             Entry<K,V> p = t.parent;
2159             Entry<K,V> ch = t;
2160             while (p != null && ch == p.right) {
2161                 ch = p;
2162                 p = p.parent;
2163             }
2164             return p;
2165         }
2166     }
2167 
2168     /**
2169      * Returns the predecessor of the specified Entry, or null if no such.
2170      */
2171     static <K,V> Entry<K,V> predecessor(Entry<K,V> t) {
2172         if (t == null)
2173             return null;
2174         else if (t.left != null) {
2175             Entry<K,V> p = t.left;
2176             while (p.right != null)
2177                 p = p.right;
2178             return p;
2179         } else {
2180             Entry<K,V> p = t.parent;
2181             Entry<K,V> ch = t;
2182             while (p != null && ch == p.left) {
2183                 ch = p;
2184                 p = p.parent;
2185             }
2186             return p;
2187         }
2188     }
2189 
2190     /**
2191      * Balancing operations.
2192      *
2193      * Implementations of rebalancings during insertion and deletion are
2194      * slightly different than the CLR version.  Rather than using dummy
2195      * nilnodes, we use a set of accessors that deal properly with null.  They
2196      * are used to avoid messiness surrounding nullness checks in the main
2197      * algorithms.
2198      */
2199 
2200     private static <K,V> boolean colorOf(Entry<K,V> p) {
2201         return (p == null ? BLACK : p.color);
2202     }
2203 
2204     private static <K,V> Entry<K,V> parentOf(Entry<K,V> p) {
2205         return (p == null ? null: p.parent);
2206     }
2207 
2208     private static <K,V> void setColor(Entry<K,V> p, boolean c) {
2209         if (p != null)
2210             p.color = c;
2211     }
2212 
2213     private static <K,V> Entry<K,V> leftOf(Entry<K,V> p) {
2214         return (p == null) ? null: p.left;
2215     }
2216 
2217     private static <K,V> Entry<K,V> rightOf(Entry<K,V> p) {
2218         return (p == null) ? null: p.right;
2219     }
2220 
2221     /** From CLR */
2222     private void rotateLeft(Entry<K,V> p) {
2223         if (p != null) {
2224             Entry<K,V> r = p.right;
2225             p.right = r.left;
2226             if (r.left != null)
2227                 r.left.parent = p;
2228             r.parent = p.parent;
2229             if (p.parent == null)
2230                 root = r;
2231             else if (p.parent.left == p)
2232                 p.parent.left = r;
2233             else
2234                 p.parent.right = r;
2235             r.left = p;
2236             p.parent = r;
2237         }
2238     }
2239 
2240     /** From CLR */
2241     private void rotateRight(Entry<K,V> p) {
2242         if (p != null) {
2243             Entry<K,V> l = p.left;
2244             p.left = l.right;
2245             if (l.right != null) l.right.parent = p;
2246             l.parent = p.parent;
2247             if (p.parent == null)
2248                 root = l;
2249             else if (p.parent.right == p)
2250                 p.parent.right = l;
2251             else p.parent.left = l;
2252             l.right = p;
2253             p.parent = l;
2254         }
2255     }
2256 
2257     /** From CLR */
2258     private void fixAfterInsertion(Entry<K,V> x) {
2259         x.color = RED;
2260 
2261         while (x != null && x != root && x.parent.color == RED) {
2262             if (parentOf(x) == leftOf(parentOf(parentOf(x)))) {
2263                 Entry<K,V> y = rightOf(parentOf(parentOf(x)));
2264                 if (colorOf(y) == RED) {
2265                     setColor(parentOf(x), BLACK);
2266                     setColor(y, BLACK);
2267                     setColor(parentOf(parentOf(x)), RED);
2268                     x = parentOf(parentOf(x));
2269                 } else {
2270                     if (x == rightOf(parentOf(x))) {
2271                         x = parentOf(x);
2272                         rotateLeft(x);
2273                     }
2274                     setColor(parentOf(x), BLACK);
2275                     setColor(parentOf(parentOf(x)), RED);
2276                     rotateRight(parentOf(parentOf(x)));
2277                 }
2278             } else {
2279                 Entry<K,V> y = leftOf(parentOf(parentOf(x)));
2280                 if (colorOf(y) == RED) {
2281                     setColor(parentOf(x), BLACK);
2282                     setColor(y, BLACK);
2283                     setColor(parentOf(parentOf(x)), RED);
2284                     x = parentOf(parentOf(x));
2285                 } else {
2286                     if (x == leftOf(parentOf(x))) {
2287                         x = parentOf(x);
2288                         rotateRight(x);
2289                     }
2290                     setColor(parentOf(x), BLACK);
2291                     setColor(parentOf(parentOf(x)), RED);
2292                     rotateLeft(parentOf(parentOf(x)));
2293                 }
2294             }
2295         }
2296         root.color = BLACK;
2297     }
2298 
2299     /**
2300      * Delete node p, and then rebalance the tree.
2301      */
2302     private void deleteEntry(Entry<K,V> p) {
2303         modCount++;
2304         size--;
2305 
2306         // If strictly internal, copy successor's element to p and then make p
2307         // point to successor.
2308         if (p.left != null && p.right != null) {
2309             Entry<K,V> s = successor(p);
2310             p.key = s.key;
2311             p.value = s.value;
2312             p = s;
2313         } // p has 2 children
2314 
2315         // Start fixup at replacement node, if it exists.
2316         Entry<K,V> replacement = (p.left != null ? p.left : p.right);
2317 
2318         if (replacement != null) {
2319             // Link replacement to parent
2320             replacement.parent = p.parent;
2321             if (p.parent == null)
2322                 root = replacement;
2323             else if (p == p.parent.left)
2324                 p.parent.left  = replacement;
2325             else
2326                 p.parent.right = replacement;
2327 
2328             // Null out links so they are OK to use by fixAfterDeletion.
2329             p.left = p.right = p.parent = null;
2330 
2331             // Fix replacement
2332             if (p.color == BLACK)
2333                 fixAfterDeletion(replacement);
2334         } else if (p.parent == null) { // return if we are the only node.
2335             root = null;
2336         } else { //  No children. Use self as phantom replacement and unlink.
2337             if (p.color == BLACK)
2338                 fixAfterDeletion(p);
2339 
2340             if (p.parent != null) {
2341                 if (p == p.parent.left)
2342                     p.parent.left = null;
2343                 else if (p == p.parent.right)
2344                     p.parent.right = null;
2345                 p.parent = null;
2346             }
2347         }
2348     }
2349 
2350     /** From CLR */
2351     private void fixAfterDeletion(Entry<K,V> x) {
2352         while (x != root && colorOf(x) == BLACK) {
2353             if (x == leftOf(parentOf(x))) {
2354                 Entry<K,V> sib = rightOf(parentOf(x));
2355 
2356                 if (colorOf(sib) == RED) {
2357                     setColor(sib, BLACK);
2358                     setColor(parentOf(x), RED);
2359                     rotateLeft(parentOf(x));
2360                     sib = rightOf(parentOf(x));
2361                 }
2362 
2363                 if (colorOf(leftOf(sib))  == BLACK &&
2364                     colorOf(rightOf(sib)) == BLACK) {
2365                     setColor(sib, RED);
2366                     x = parentOf(x);
2367                 } else {
2368                     if (colorOf(rightOf(sib)) == BLACK) {
2369                         setColor(leftOf(sib), BLACK);
2370                         setColor(sib, RED);
2371                         rotateRight(sib);
2372                         sib = rightOf(parentOf(x));
2373                     }
2374                     setColor(sib, colorOf(parentOf(x)));
2375                     setColor(parentOf(x), BLACK);
2376                     setColor(rightOf(sib), BLACK);
2377                     rotateLeft(parentOf(x));
2378                     x = root;
2379                 }
2380             } else { // symmetric
2381                 Entry<K,V> sib = leftOf(parentOf(x));
2382 
2383                 if (colorOf(sib) == RED) {
2384                     setColor(sib, BLACK);
2385                     setColor(parentOf(x), RED);
2386                     rotateRight(parentOf(x));
2387                     sib = leftOf(parentOf(x));
2388                 }
2389 
2390                 if (colorOf(rightOf(sib)) == BLACK &&
2391                     colorOf(leftOf(sib)) == BLACK) {
2392                     setColor(sib, RED);
2393                     x = parentOf(x);
2394                 } else {
2395                     if (colorOf(leftOf(sib)) == BLACK) {
2396                         setColor(rightOf(sib), BLACK);
2397                         setColor(sib, RED);
2398                         rotateLeft(sib);
2399                         sib = leftOf(parentOf(x));
2400                     }
2401                     setColor(sib, colorOf(parentOf(x)));
2402                     setColor(parentOf(x), BLACK);
2403                     setColor(leftOf(sib), BLACK);
2404                     rotateRight(parentOf(x));
2405                     x = root;
2406                 }
2407             }
2408         }
2409 
2410         setColor(x, BLACK);
2411     }
2412 
2413     @java.io.Serial
2414     private static final long serialVersionUID = 919286545866124006L;
2415 
2416     /**
2417      * Save the state of the {@code TreeMap} instance to a stream (i.e.,
2418      * serialize it).
2419      *
2420      * @serialData The <em>size</em> of the TreeMap (the number of key-value
2421      *             mappings) is emitted (int), followed by the key (Object)
2422      *             and value (Object) for each key-value mapping represented
2423      *             by the TreeMap. The key-value mappings are emitted in
2424      *             key-order (as determined by the TreeMap's Comparator,
2425      *             or by the keys' natural ordering if the TreeMap has no
2426      *             Comparator).
2427      */
2428     @java.io.Serial
2429     private void writeObject(java.io.ObjectOutputStream s)
2430         throws java.io.IOException {
2431         // Write out the Comparator and any hidden stuff
2432         s.defaultWriteObject();
2433 
2434         // Write out size (number of Mappings)
2435         s.writeInt(size);
2436 
2437         // Write out keys and values (alternating)
2438         for (Map.Entry<K, V> e : entrySet()) {
2439             s.writeObject(e.getKey());
2440             s.writeObject(e.getValue());
2441         }
2442     }
2443 
2444     /**
2445      * Reconstitute the {@code TreeMap} instance from a stream (i.e.,
2446      * deserialize it).
2447      */
2448     @java.io.Serial
2449     private void readObject(final java.io.ObjectInputStream s)
2450         throws java.io.IOException, ClassNotFoundException {
2451         // Read in the Comparator and any hidden stuff
2452         s.defaultReadObject();
2453 
2454         // Read in size
2455         int size = s.readInt();
2456 
2457         buildFromSorted(size, null, s, null);
2458     }
2459 
2460     /** Intended to be called only from TreeSet.readObject */
2461     void readTreeSet(int size, java.io.ObjectInputStream s, V defaultVal)
2462         throws java.io.IOException, ClassNotFoundException {
2463         buildFromSorted(size, null, s, defaultVal);
2464     }
2465 
2466     /** Intended to be called only from TreeSet.addAll */
2467     void addAllForTreeSet(SortedSet<? extends K> set, V defaultVal) {
2468         try {
2469             buildFromSorted(set.size(), set.iterator(), null, defaultVal);
2470         } catch (java.io.IOException | ClassNotFoundException cannotHappen) {
2471         }
2472     }
2473 
2474 
2475     /**
2476      * Linear time tree building algorithm from sorted data.  Can accept keys
2477      * and/or values from iterator or stream. This leads to too many
2478      * parameters, but seems better than alternatives.  The four formats
2479      * that this method accepts are:
2480      *
2481      *    1) An iterator of Map.Entries.  (it != null, defaultVal == null).
2482      *    2) An iterator of keys.         (it != null, defaultVal != null).
2483      *    3) A stream of alternating serialized keys and values.
2484      *                                   (it == null, defaultVal == null).
2485      *    4) A stream of serialized keys. (it == null, defaultVal != null).
2486      *
2487      * It is assumed that the comparator of the TreeMap is already set prior
2488      * to calling this method.
2489      *
2490      * @param size the number of keys (or key-value pairs) to be read from
2491      *        the iterator or stream
2492      * @param it If non-null, new entries are created from entries
2493      *        or keys read from this iterator.
2494      * @param str If non-null, new entries are created from keys and
2495      *        possibly values read from this stream in serialized form.
2496      *        Exactly one of it and str should be non-null.
2497      * @param defaultVal if non-null, this default value is used for
2498      *        each value in the map.  If null, each value is read from
2499      *        iterator or stream, as described above.
2500      * @throws java.io.IOException propagated from stream reads. This cannot
2501      *         occur if str is null.
2502      * @throws ClassNotFoundException propagated from readObject.
2503      *         This cannot occur if str is null.
2504      */
2505     private void buildFromSorted(int size, Iterator<?> it,
2506                                  java.io.ObjectInputStream str,
2507                                  V defaultVal)
2508         throws  java.io.IOException, ClassNotFoundException {
2509         this.size = size;
2510         root = buildFromSorted(0, 0, size-1, computeRedLevel(size),
2511                                it, str, defaultVal);
2512     }
2513 
2514     /**
2515      * Recursive "helper method" that does the real work of the
2516      * previous method.  Identically named parameters have
2517      * identical definitions.  Additional parameters are documented below.
2518      * It is assumed that the comparator and size fields of the TreeMap are
2519      * already set prior to calling this method.  (It ignores both fields.)
2520      *
2521      * @param level the current level of tree. Initial call should be 0.
2522      * @param lo the first element index of this subtree. Initial should be 0.
2523      * @param hi the last element index of this subtree.  Initial should be
2524      *        size-1.
2525      * @param redLevel the level at which nodes should be red.
2526      *        Must be equal to computeRedLevel for tree of this size.
2527      */
2528     @SuppressWarnings("unchecked")
2529     private final Entry<K,V> buildFromSorted(int level, int lo, int hi,
2530                                              int redLevel,
2531                                              Iterator<?> it,
2532                                              java.io.ObjectInputStream str,
2533                                              V defaultVal)
2534         throws  java.io.IOException, ClassNotFoundException {
2535         /*
2536          * Strategy: The root is the middlemost element. To get to it, we
2537          * have to first recursively construct the entire left subtree,
2538          * so as to grab all of its elements. We can then proceed with right
2539          * subtree.
2540          *
2541          * The lo and hi arguments are the minimum and maximum
2542          * indices to pull out of the iterator or stream for current subtree.
2543          * They are not actually indexed, we just proceed sequentially,
2544          * ensuring that items are extracted in corresponding order.
2545          */
2546 
2547         if (hi < lo) return null;
2548 
2549         int mid = (lo + hi) >>> 1;
2550 
2551         Entry<K,V> left  = null;
2552         if (lo < mid)
2553             left = buildFromSorted(level+1, lo, mid - 1, redLevel,
2554                                    it, str, defaultVal);
2555 
2556         // extract key and/or value from iterator or stream
2557         K key;
2558         V value;
2559         if (it != null) {
2560             if (defaultVal==null) {
2561                 Map.Entry<?,?> entry = (Map.Entry<?,?>)it.next();
2562                 key = (K)entry.getKey();
2563                 value = (V)entry.getValue();
2564             } else {
2565                 key = (K)it.next();
2566                 value = defaultVal;
2567             }
2568         } else { // use stream
2569             key = (K) str.readObject();
2570             value = (defaultVal != null ? defaultVal : (V) str.readObject());
2571         }
2572 
2573         Entry<K,V> middle =  new Entry<>(key, value, null);
2574 
2575         // color nodes in non-full bottommost level red
2576         if (level == redLevel)
2577             middle.color = RED;
2578 
2579         if (left != null) {
2580             middle.left = left;
2581             left.parent = middle;
2582         }
2583 
2584         if (mid < hi) {
2585             Entry<K,V> right = buildFromSorted(level+1, mid+1, hi, redLevel,
2586                                                it, str, defaultVal);
2587             middle.right = right;
2588             right.parent = middle;
2589         }
2590 
2591         return middle;
2592     }
2593 
2594     /**
2595      * Finds the level down to which to assign all nodes BLACK.  This is the
2596      * last `full' level of the complete binary tree produced by buildTree.
2597      * The remaining nodes are colored RED. (This makes a `nice' set of
2598      * color assignments wrt future insertions.) This level number is
2599      * computed by finding the number of splits needed to reach the zeroeth
2600      * node.
2601      *
2602      * @param size the (non-negative) number of keys in the tree to be built
2603      */
2604     private static int computeRedLevel(int size) {
2605         return 31 - Integer.numberOfLeadingZeros(size + 1);
2606     }
2607 
2608     /**
2609      * Currently, we support Spliterator-based versions only for the
2610      * full map, in either plain of descending form, otherwise relying
2611      * on defaults because size estimation for submaps would dominate
2612      * costs. The type tests needed to check these for key views are
2613      * not very nice but avoid disrupting existing class
2614      * structures. Callers must use plain default spliterators if this
2615      * returns null.
2616      */
2617     static <K> Spliterator<K> keySpliteratorFor(NavigableMap<K,?> m) {
2618         if (m instanceof TreeMap) {
2619             @SuppressWarnings("unchecked") TreeMap<K,Object> t =
2620                 (TreeMap<K,Object>) m;
2621             return t.keySpliterator();
2622         }
2623         if (m instanceof DescendingSubMap) {
2624             @SuppressWarnings("unchecked") DescendingSubMap<K,?> dm =
2625                 (DescendingSubMap<K,?>) m;
2626             TreeMap<K,?> tm = dm.m;
2627             if (dm == tm.descendingMap) {
2628                 @SuppressWarnings("unchecked") TreeMap<K,Object> t =
2629                     (TreeMap<K,Object>) tm;
2630                 return t.descendingKeySpliterator();
2631             }
2632         }
2633         @SuppressWarnings("unchecked") NavigableSubMap<K,?> sm =
2634             (NavigableSubMap<K,?>) m;
2635         return sm.keySpliterator();
2636     }
2637 
2638     final Spliterator<K> keySpliterator() {
2639         return new KeySpliterator<>(this, null, null, 0, -1, 0);
2640     }
2641 
2642     final Spliterator<K> descendingKeySpliterator() {
2643         return new DescendingKeySpliterator<>(this, null, null, 0, -2, 0);
2644     }
2645 
2646     /**
2647      * Base class for spliterators.  Iteration starts at a given
2648      * origin and continues up to but not including a given fence (or
2649      * null for end).  At top-level, for ascending cases, the first
2650      * split uses the root as left-fence/right-origin. From there,
2651      * right-hand splits replace the current fence with its left
2652      * child, also serving as origin for the split-off spliterator.
2653      * Left-hands are symmetric. Descending versions place the origin
2654      * at the end and invert ascending split rules.  This base class
2655      * is non-committal about directionality, or whether the top-level
2656      * spliterator covers the whole tree. This means that the actual
2657      * split mechanics are located in subclasses. Some of the subclass
2658      * trySplit methods are identical (except for return types), but
2659      * not nicely factorable.
2660      *
2661      * Currently, subclass versions exist only for the full map
2662      * (including descending keys via its descendingMap).  Others are
2663      * possible but currently not worthwhile because submaps require
2664      * O(n) computations to determine size, which substantially limits
2665      * potential speed-ups of using custom Spliterators versus default
2666      * mechanics.
2667      *
2668      * To boostrap initialization, external constructors use
2669      * negative size estimates: -1 for ascend, -2 for descend.
2670      */
2671     static class TreeMapSpliterator<K,V> {
2672         final TreeMap<K,V> tree;
2673         TreeMap.Entry<K,V> current; // traverser; initially first node in range
2674         TreeMap.Entry<K,V> fence;   // one past last, or null
2675         int side;                   // 0: top, -1: is a left split, +1: right
2676         int est;                    // size estimate (exact only for top-level)
2677         int expectedModCount;       // for CME checks
2678 
2679         TreeMapSpliterator(TreeMap<K,V> tree,
2680                            TreeMap.Entry<K,V> origin, TreeMap.Entry<K,V> fence,
2681                            int side, int est, int expectedModCount) {
2682             this.tree = tree;
2683             this.current = origin;
2684             this.fence = fence;
2685             this.side = side;
2686             this.est = est;
2687             this.expectedModCount = expectedModCount;
2688         }
2689 
2690         final int getEstimate() { // force initialization
2691             int s; TreeMap<K,V> t;
2692             if ((s = est) < 0) {
2693                 if ((t = tree) != null) {
2694                     current = (s == -1) ? t.getFirstEntry() : t.getLastEntry();
2695                     s = est = t.size;
2696                     expectedModCount = t.modCount;
2697                 }
2698                 else
2699                     s = est = 0;
2700             }
2701             return s;
2702         }
2703 
2704         public final long estimateSize() {
2705             return (long)getEstimate();
2706         }
2707     }
2708 
2709     static final class KeySpliterator<K,V>
2710         extends TreeMapSpliterator<K,V>
2711         implements Spliterator<K> {
2712         KeySpliterator(TreeMap<K,V> tree,
2713                        TreeMap.Entry<K,V> origin, TreeMap.Entry<K,V> fence,
2714                        int side, int est, int expectedModCount) {
2715             super(tree, origin, fence, side, est, expectedModCount);
2716         }
2717 
2718         public KeySpliterator<K,V> trySplit() {
2719             if (est < 0)
2720                 getEstimate(); // force initialization
2721             int d = side;
2722             TreeMap.Entry<K,V> e = current, f = fence,
2723                 s = ((e == null || e == f) ? null :      // empty
2724                      (d == 0)              ? tree.root : // was top
2725                      (d >  0)              ? e.right :   // was right
2726                      (d <  0 && f != null) ? f.left :    // was left
2727                      null);
2728             if (s != null && s != e && s != f &&
2729                 tree.compare(e.key, s.key) < 0) {        // e not already past s
2730                 side = 1;
2731                 return new KeySpliterator<>
2732                     (tree, e, current = s, -1, est >>>= 1, expectedModCount);
2733             }
2734             return null;
2735         }
2736 
2737         public void forEachRemaining(Consumer<? super K> action) {
2738             if (action == null)
2739                 throw new NullPointerException();
2740             if (est < 0)
2741                 getEstimate(); // force initialization
2742             TreeMap.Entry<K,V> f = fence, e, p, pl;
2743             if ((e = current) != null && e != f) {
2744                 current = f; // exhaust
2745                 do {
2746                     action.accept(e.key);
2747                     if ((p = e.right) != null) {
2748                         while ((pl = p.left) != null)
2749                             p = pl;
2750                     }
2751                     else {
2752                         while ((p = e.parent) != null && e == p.right)
2753                             e = p;
2754                     }
2755                 } while ((e = p) != null && e != f);
2756                 if (tree.modCount != expectedModCount)
2757                     throw new ConcurrentModificationException();
2758             }
2759         }
2760 
2761         public boolean tryAdvance(Consumer<? super K> action) {
2762             TreeMap.Entry<K,V> e;
2763             if (action == null)
2764                 throw new NullPointerException();
2765             if (est < 0)
2766                 getEstimate(); // force initialization
2767             if ((e = current) == null || e == fence)
2768                 return false;
2769             current = successor(e);
2770             action.accept(e.key);
2771             if (tree.modCount != expectedModCount)
2772                 throw new ConcurrentModificationException();
2773             return true;
2774         }
2775 
2776         public int characteristics() {
2777             return (side == 0 ? Spliterator.SIZED : 0) |
2778                 Spliterator.DISTINCT | Spliterator.SORTED | Spliterator.ORDERED;
2779         }
2780 
2781         public final Comparator<? super K>  getComparator() {
2782             return tree.comparator;
2783         }
2784 
2785     }
2786 
2787     static final class DescendingKeySpliterator<K,V>
2788         extends TreeMapSpliterator<K,V>
2789         implements Spliterator<K> {
2790         DescendingKeySpliterator(TreeMap<K,V> tree,
2791                                  TreeMap.Entry<K,V> origin, TreeMap.Entry<K,V> fence,
2792                                  int side, int est, int expectedModCount) {
2793             super(tree, origin, fence, side, est, expectedModCount);
2794         }
2795 
2796         public DescendingKeySpliterator<K,V> trySplit() {
2797             if (est < 0)
2798                 getEstimate(); // force initialization
2799             int d = side;
2800             TreeMap.Entry<K,V> e = current, f = fence,
2801                     s = ((e == null || e == f) ? null :      // empty
2802                          (d == 0)              ? tree.root : // was top
2803                          (d <  0)              ? e.left :    // was left
2804                          (d >  0 && f != null) ? f.right :   // was right
2805                          null);
2806             if (s != null && s != e && s != f &&
2807                 tree.compare(e.key, s.key) > 0) {       // e not already past s
2808                 side = 1;
2809                 return new DescendingKeySpliterator<>
2810                         (tree, e, current = s, -1, est >>>= 1, expectedModCount);
2811             }
2812             return null;
2813         }
2814 
2815         public void forEachRemaining(Consumer<? super K> action) {
2816             if (action == null)
2817                 throw new NullPointerException();
2818             if (est < 0)
2819                 getEstimate(); // force initialization
2820             TreeMap.Entry<K,V> f = fence, e, p, pr;
2821             if ((e = current) != null && e != f) {
2822                 current = f; // exhaust
2823                 do {
2824                     action.accept(e.key);
2825                     if ((p = e.left) != null) {
2826                         while ((pr = p.right) != null)
2827                             p = pr;
2828                     }
2829                     else {
2830                         while ((p = e.parent) != null && e == p.left)
2831                             e = p;
2832                     }
2833                 } while ((e = p) != null && e != f);
2834                 if (tree.modCount != expectedModCount)
2835                     throw new ConcurrentModificationException();
2836             }
2837         }
2838 
2839         public boolean tryAdvance(Consumer<? super K> action) {
2840             TreeMap.Entry<K,V> e;
2841             if (action == null)
2842                 throw new NullPointerException();
2843             if (est < 0)
2844                 getEstimate(); // force initialization
2845             if ((e = current) == null || e == fence)
2846                 return false;
2847             current = predecessor(e);
2848             action.accept(e.key);
2849             if (tree.modCount != expectedModCount)
2850                 throw new ConcurrentModificationException();
2851             return true;
2852         }
2853 
2854         public int characteristics() {
2855             return (side == 0 ? Spliterator.SIZED : 0) |
2856                 Spliterator.DISTINCT | Spliterator.ORDERED;
2857         }
2858     }
2859 
2860     static final class ValueSpliterator<K,V>
2861             extends TreeMapSpliterator<K,V>
2862             implements Spliterator<V> {
2863         ValueSpliterator(TreeMap<K,V> tree,
2864                          TreeMap.Entry<K,V> origin, TreeMap.Entry<K,V> fence,
2865                          int side, int est, int expectedModCount) {
2866             super(tree, origin, fence, side, est, expectedModCount);
2867         }
2868 
2869         public ValueSpliterator<K,V> trySplit() {
2870             if (est < 0)
2871                 getEstimate(); // force initialization
2872             int d = side;
2873             TreeMap.Entry<K,V> e = current, f = fence,
2874                     s = ((e == null || e == f) ? null :      // empty
2875                          (d == 0)              ? tree.root : // was top
2876                          (d >  0)              ? e.right :   // was right
2877                          (d <  0 && f != null) ? f.left :    // was left
2878                          null);
2879             if (s != null && s != e && s != f &&
2880                 tree.compare(e.key, s.key) < 0) {        // e not already past s
2881                 side = 1;
2882                 return new ValueSpliterator<>
2883                         (tree, e, current = s, -1, est >>>= 1, expectedModCount);
2884             }
2885             return null;
2886         }
2887 
2888         public void forEachRemaining(Consumer<? super V> action) {
2889             if (action == null)
2890                 throw new NullPointerException();
2891             if (est < 0)
2892                 getEstimate(); // force initialization
2893             TreeMap.Entry<K,V> f = fence, e, p, pl;
2894             if ((e = current) != null && e != f) {
2895                 current = f; // exhaust
2896                 do {
2897                     action.accept(e.value);
2898                     if ((p = e.right) != null) {
2899                         while ((pl = p.left) != null)
2900                             p = pl;
2901                     }
2902                     else {
2903                         while ((p = e.parent) != null && e == p.right)
2904                             e = p;
2905                     }
2906                 } while ((e = p) != null && e != f);
2907                 if (tree.modCount != expectedModCount)
2908                     throw new ConcurrentModificationException();
2909             }
2910         }
2911 
2912         public boolean tryAdvance(Consumer<? super V> action) {
2913             TreeMap.Entry<K,V> e;
2914             if (action == null)
2915                 throw new NullPointerException();
2916             if (est < 0)
2917                 getEstimate(); // force initialization
2918             if ((e = current) == null || e == fence)
2919                 return false;
2920             current = successor(e);
2921             action.accept(e.value);
2922             if (tree.modCount != expectedModCount)
2923                 throw new ConcurrentModificationException();
2924             return true;
2925         }
2926 
2927         public int characteristics() {
2928             return (side == 0 ? Spliterator.SIZED : 0) | Spliterator.ORDERED;
2929         }
2930     }
2931 
2932     static final class EntrySpliterator<K,V>
2933         extends TreeMapSpliterator<K,V>
2934         implements Spliterator<Map.Entry<K,V>> {
2935         EntrySpliterator(TreeMap<K,V> tree,
2936                          TreeMap.Entry<K,V> origin, TreeMap.Entry<K,V> fence,
2937                          int side, int est, int expectedModCount) {
2938             super(tree, origin, fence, side, est, expectedModCount);
2939         }
2940 
2941         public EntrySpliterator<K,V> trySplit() {
2942             if (est < 0)
2943                 getEstimate(); // force initialization
2944             int d = side;
2945             TreeMap.Entry<K,V> e = current, f = fence,
2946                     s = ((e == null || e == f) ? null :      // empty
2947                          (d == 0)              ? tree.root : // was top
2948                          (d >  0)              ? e.right :   // was right
2949                          (d <  0 && f != null) ? f.left :    // was left
2950                          null);
2951             if (s != null && s != e && s != f &&
2952                 tree.compare(e.key, s.key) < 0) {        // e not already past s
2953                 side = 1;
2954                 return new EntrySpliterator<>
2955                         (tree, e, current = s, -1, est >>>= 1, expectedModCount);
2956             }
2957             return null;
2958         }
2959 
2960         public void forEachRemaining(Consumer<? super Map.Entry<K, V>> action) {
2961             if (action == null)
2962                 throw new NullPointerException();
2963             if (est < 0)
2964                 getEstimate(); // force initialization
2965             TreeMap.Entry<K,V> f = fence, e, p, pl;
2966             if ((e = current) != null && e != f) {
2967                 current = f; // exhaust
2968                 do {
2969                     action.accept(e);
2970                     if ((p = e.right) != null) {
2971                         while ((pl = p.left) != null)
2972                             p = pl;
2973                     }
2974                     else {
2975                         while ((p = e.parent) != null && e == p.right)
2976                             e = p;
2977                     }
2978                 } while ((e = p) != null && e != f);
2979                 if (tree.modCount != expectedModCount)
2980                     throw new ConcurrentModificationException();
2981             }
2982         }
2983 
2984         public boolean tryAdvance(Consumer<? super Map.Entry<K,V>> action) {
2985             TreeMap.Entry<K,V> e;
2986             if (action == null)
2987                 throw new NullPointerException();
2988             if (est < 0)
2989                 getEstimate(); // force initialization
2990             if ((e = current) == null || e == fence)
2991                 return false;
2992             current = successor(e);
2993             action.accept(e);
2994             if (tree.modCount != expectedModCount)
2995                 throw new ConcurrentModificationException();
2996             return true;
2997         }
2998 
2999         public int characteristics() {
3000             return (side == 0 ? Spliterator.SIZED : 0) |
3001                     Spliterator.DISTINCT | Spliterator.SORTED | Spliterator.ORDERED;
3002         }
3003 
3004         @Override
3005         public Comparator<Map.Entry<K, V>> getComparator() {
3006             // Adapt or create a key-based comparator
3007             if (tree.comparator != null) {
3008                 return Map.Entry.comparingByKey(tree.comparator);
3009             }
3010             else {
3011                 return (Comparator<Map.Entry<K, V>> & Serializable) (e1, e2) -> {
3012                     @SuppressWarnings("unchecked")
3013                     Comparable<? super K> k1 = (Comparable<? super K>) e1.getKey();
3014                     return k1.compareTo(e2.getKey());
3015                 };
3016             }
3017         }
3018     }
3019 }