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Comparing jsr166/src/main/java/util/PriorityQueue.java (file contents):
Revision 1.1 by tim, Wed May 14 21:30:45 2003 UTC vs.
Revision 1.132 by jsr166, Fri Aug 30 18:05:39 2019 UTC

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1 + /*
2 + * Copyright (c) 2003, 2019, Oracle and/or its affiliates. All rights reserved.
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
6 + * under the terms of the GNU General Public License version 2 only, as
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).
16 + *
17 + * You should have received a copy of the GNU General Public License version
18 + * 2 along with this work; if not, write to the Free Software Foundation,
19 + * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
20 + *
21 + * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
22 + * or visit www.oracle.com if you need additional information or have any
23 + * questions.
24 + */
25 +
26   package java.util;
27  
28 < import java.util.*;
28 > import java.util.function.Consumer;
29 > import java.util.function.Predicate;
30 > // OPENJDK import jdk.internal.access.SharedSecrets;
31 > import jdk.internal.util.ArraysSupport;
32  
33   /**
34 < * An unbounded (resizable) priority queue based on a priority
35 < * heap.The take operation returns the least element with respect to
36 < * the given ordering. (If more than one element is tied for least
37 < * value, one of them is arbitrarily chosen to be returned -- no
38 < * guarantees are made for ordering across ties.) Ordering follows the
39 < * java.util.Collection conventions: Either the elements must be
40 < * Comparable, or a Comparator must be supplied. Comparison failures
41 < * throw ClassCastExceptions during insertions and extractions.
42 < **/
43 < public class PriorityQueue<E> extends AbstractCollection<E> implements Queue<E> {
44 <    public PriorityQueue(int initialCapacity) {}
45 <    public PriorityQueue(int initialCapacity, Comparator comparator) {}
46 <
47 <    public PriorityQueue(int initialCapacity, Collection initialElements) {}
48 <
49 <    public PriorityQueue(int initialCapacity, Comparator comparator, Collection initialElements) {}
50 <
51 <    public boolean add(E x) {
52 <        return false;
34 > * An unbounded priority {@linkplain Queue queue} based on a priority heap.
35 > * The elements of the priority queue are ordered according to their
36 > * {@linkplain Comparable natural ordering}, or by a {@link Comparator}
37 > * provided at queue construction time, depending on which constructor is
38 > * used.  A priority queue does not permit {@code null} elements.
39 > * A priority queue relying on natural ordering also does not permit
40 > * insertion of non-comparable objects (doing so may result in
41 > * {@code ClassCastException}).
42 > *
43 > * <p>The <em>head</em> of this queue is the <em>least</em> element
44 > * with respect to the specified ordering.  If multiple elements are
45 > * tied for least value, the head is one of those elements -- ties are
46 > * broken arbitrarily.  The queue retrieval operations {@code poll},
47 > * {@code remove}, {@code peek}, and {@code element} access the
48 > * element at the head of the queue.
49 > *
50 > * <p>A priority queue is unbounded, but has an internal
51 > * <i>capacity</i> governing the size of an array used to store the
52 > * elements on the queue.  It is always at least as large as the queue
53 > * size.  As elements are added to a priority queue, its capacity
54 > * grows automatically.  The details of the growth policy are not
55 > * specified.
56 > *
57 > * <p>This class and its iterator implement all of the
58 > * <em>optional</em> methods of the {@link Collection} and {@link
59 > * Iterator} interfaces.  The Iterator provided in method {@link
60 > * #iterator()} and the Spliterator provided in method {@link #spliterator()}
61 > * are <em>not</em> guaranteed to traverse the elements of
62 > * the priority queue in any particular order. If you need ordered
63 > * traversal, consider using {@code Arrays.sort(pq.toArray())}.
64 > *
65 > * <p><strong>Note that this implementation is not synchronized.</strong>
66 > * Multiple threads should not access a {@code PriorityQueue}
67 > * instance concurrently if any of the threads modifies the queue.
68 > * Instead, use the thread-safe {@link
69 > * java.util.concurrent.PriorityBlockingQueue} class.
70 > *
71 > * <p>Implementation note: this implementation provides
72 > * O(log(n)) time for the enqueuing and dequeuing methods
73 > * ({@code offer}, {@code poll}, {@code remove()} and {@code add});
74 > * linear time for the {@code remove(Object)} and {@code contains(Object)}
75 > * methods; and constant time for the retrieval methods
76 > * ({@code peek}, {@code element}, and {@code size}).
77 > *
78 > * <p>This class is a member of the
79 > * <a href="{@docRoot}/java.base/java/util/package-summary.html#CollectionsFramework">
80 > * Java Collections Framework</a>.
81 > *
82 > * @since 1.5
83 > * @author Josh Bloch, Doug Lea
84 > * @param <E> the type of elements held in this queue
85 > */
86 > @SuppressWarnings("unchecked")
87 > public class PriorityQueue<E> extends AbstractQueue<E>
88 >    implements java.io.Serializable {
89 >
90 >    // OPENJDK @java.io.Serial
91 >    private static final long serialVersionUID = -7720805057305804111L;
92 >
93 >    private static final int DEFAULT_INITIAL_CAPACITY = 11;
94 >
95 >    /**
96 >     * Priority queue represented as a balanced binary heap: the two
97 >     * children of queue[n] are queue[2*n+1] and queue[2*(n+1)].  The
98 >     * priority queue is ordered by comparator, or by the elements'
99 >     * natural ordering, if comparator is null: For each node n in the
100 >     * heap and each descendant d of n, n <= d.  The element with the
101 >     * lowest value is in queue[0], assuming the queue is nonempty.
102 >     */
103 >    transient Object[] queue; // non-private to simplify nested class access
104 >
105 >    /**
106 >     * The number of elements in the priority queue.
107 >     */
108 >    int size;
109 >
110 >    /**
111 >     * The comparator, or null if priority queue uses elements'
112 >     * natural ordering.
113 >     */
114 >    private final Comparator<? super E> comparator;
115 >
116 >    /**
117 >     * The number of times this priority queue has been
118 >     * <i>structurally modified</i>.  See AbstractList for gory details.
119 >     */
120 >    transient int modCount;     // non-private to simplify nested class access
121 >
122 >    /**
123 >     * Creates a {@code PriorityQueue} with the default initial
124 >     * capacity (11) that orders its elements according to their
125 >     * {@linkplain Comparable natural ordering}.
126 >     */
127 >    public PriorityQueue() {
128 >        this(DEFAULT_INITIAL_CAPACITY, null);
129      }
130 <    public boolean offer(E x) {
131 <        return false;
130 >
131 >    /**
132 >     * Creates a {@code PriorityQueue} with the specified initial
133 >     * capacity that orders its elements according to their
134 >     * {@linkplain Comparable natural ordering}.
135 >     *
136 >     * @param initialCapacity the initial capacity for this priority queue
137 >     * @throws IllegalArgumentException if {@code initialCapacity} is less
138 >     *         than 1
139 >     */
140 >    public PriorityQueue(int initialCapacity) {
141 >        this(initialCapacity, null);
142      }
143 <    public boolean remove(Object x) {
144 <        return false;
143 >
144 >    /**
145 >     * Creates a {@code PriorityQueue} with the default initial capacity and
146 >     * whose elements are ordered according to the specified comparator.
147 >     *
148 >     * @param  comparator the comparator that will be used to order this
149 >     *         priority queue.  If {@code null}, the {@linkplain Comparable
150 >     *         natural ordering} of the elements will be used.
151 >     * @since 1.8
152 >     */
153 >    public PriorityQueue(Comparator<? super E> comparator) {
154 >        this(DEFAULT_INITIAL_CAPACITY, comparator);
155      }
156  
157 <    public E remove() {
158 <        return null;
157 >    /**
158 >     * Creates a {@code PriorityQueue} with the specified initial capacity
159 >     * that orders its elements according to the specified comparator.
160 >     *
161 >     * @param  initialCapacity the initial capacity for this priority queue
162 >     * @param  comparator the comparator that will be used to order this
163 >     *         priority queue.  If {@code null}, the {@linkplain Comparable
164 >     *         natural ordering} of the elements will be used.
165 >     * @throws IllegalArgumentException if {@code initialCapacity} is
166 >     *         less than 1
167 >     */
168 >    public PriorityQueue(int initialCapacity,
169 >                         Comparator<? super E> comparator) {
170 >        // Note: This restriction of at least one is not actually needed,
171 >        // but continues for 1.5 compatibility
172 >        if (initialCapacity < 1)
173 >            throw new IllegalArgumentException();
174 >        this.queue = new Object[initialCapacity];
175 >        this.comparator = comparator;
176      }
177 <    public Iterator<E> iterator() {
178 <      return null;
177 >
178 >    /**
179 >     * Creates a {@code PriorityQueue} containing the elements in the
180 >     * specified collection.  If the specified collection is an instance of
181 >     * a {@link SortedSet} or is another {@code PriorityQueue}, this
182 >     * priority queue will be ordered according to the same ordering.
183 >     * Otherwise, this priority queue will be ordered according to the
184 >     * {@linkplain Comparable natural ordering} of its elements.
185 >     *
186 >     * @param  c the collection whose elements are to be placed
187 >     *         into this priority queue
188 >     * @throws ClassCastException if elements of the specified collection
189 >     *         cannot be compared to one another according to the priority
190 >     *         queue's ordering
191 >     * @throws NullPointerException if the specified collection or any
192 >     *         of its elements are null
193 >     */
194 >    public PriorityQueue(Collection<? extends E> c) {
195 >        if (c instanceof SortedSet<?>) {
196 >            SortedSet<? extends E> ss = (SortedSet<? extends E>) c;
197 >            this.comparator = (Comparator<? super E>) ss.comparator();
198 >            initElementsFromCollection(ss);
199 >        }
200 >        else if (c instanceof PriorityQueue<?>) {
201 >            PriorityQueue<? extends E> pq = (PriorityQueue<? extends E>) c;
202 >            this.comparator = (Comparator<? super E>) pq.comparator();
203 >            initFromPriorityQueue(pq);
204 >        }
205 >        else {
206 >            this.comparator = null;
207 >            initFromCollection(c);
208 >        }
209      }
210  
211 <    public E element() {
212 <        return null;
211 >    /**
212 >     * Creates a {@code PriorityQueue} containing the elements in the
213 >     * specified priority queue.  This priority queue will be
214 >     * ordered according to the same ordering as the given priority
215 >     * queue.
216 >     *
217 >     * @param  c the priority queue whose elements are to be placed
218 >     *         into this priority queue
219 >     * @throws ClassCastException if elements of {@code c} cannot be
220 >     *         compared to one another according to {@code c}'s
221 >     *         ordering
222 >     * @throws NullPointerException if the specified priority queue or any
223 >     *         of its elements are null
224 >     */
225 >    public PriorityQueue(PriorityQueue<? extends E> c) {
226 >        this.comparator = (Comparator<? super E>) c.comparator();
227 >        initFromPriorityQueue(c);
228      }
229 <    public E poll() {
230 <        return null;
229 >
230 >    /**
231 >     * Creates a {@code PriorityQueue} containing the elements in the
232 >     * specified sorted set.   This priority queue will be ordered
233 >     * according to the same ordering as the given sorted set.
234 >     *
235 >     * @param  c the sorted set whose elements are to be placed
236 >     *         into this priority queue
237 >     * @throws ClassCastException if elements of the specified sorted
238 >     *         set cannot be compared to one another according to the
239 >     *         sorted set's ordering
240 >     * @throws NullPointerException if the specified sorted set or any
241 >     *         of its elements are null
242 >     */
243 >    public PriorityQueue(SortedSet<? extends E> c) {
244 >        this.comparator = (Comparator<? super E>) c.comparator();
245 >        initElementsFromCollection(c);
246 >    }
247 >
248 >    /** Ensures that queue[0] exists, helping peek() and poll(). */
249 >    private static Object[] ensureNonEmpty(Object[] es) {
250 >        return (es.length > 0) ? es : new Object[1];
251 >    }
252 >
253 >    private void initFromPriorityQueue(PriorityQueue<? extends E> c) {
254 >        if (c.getClass() == PriorityQueue.class) {
255 >            this.queue = ensureNonEmpty(c.toArray());
256 >            this.size = c.size();
257 >        } else {
258 >            initFromCollection(c);
259 >        }
260 >    }
261 >
262 >    private void initElementsFromCollection(Collection<? extends E> c) {
263 >        Object[] es = c.toArray();
264 >        int len = es.length;
265 >        // If c.toArray incorrectly doesn't return Object[], copy it.
266 >        if (es.getClass() != Object[].class)
267 >            es = Arrays.copyOf(es, len, Object[].class);
268 >        if (len == 1 || this.comparator != null)
269 >            for (Object e : es)
270 >                if (e == null)
271 >                    throw new NullPointerException();
272 >        this.queue = ensureNonEmpty(es);
273 >        this.size = len;
274 >    }
275 >
276 >    /**
277 >     * Initializes queue array with elements from the given Collection.
278 >     *
279 >     * @param c the collection
280 >     */
281 >    private void initFromCollection(Collection<? extends E> c) {
282 >        initElementsFromCollection(c);
283 >        heapify();
284 >    }
285 >
286 >    /**
287 >     * Increases the capacity of the array.
288 >     *
289 >     * @param minCapacity the desired minimum capacity
290 >     */
291 >    private void grow(int minCapacity) {
292 >        int oldCapacity = queue.length;
293 >        // Double size if small; else grow by 50%
294 >        int newCapacity = ArraysSupport.newLength(oldCapacity,
295 >                minCapacity - oldCapacity, /* minimum growth */
296 >                oldCapacity < 64 ? oldCapacity + 2 : oldCapacity >> 1
297 >                                           /* preferred growth */);
298 >        queue = Arrays.copyOf(queue, newCapacity);
299 >    }
300 >
301 >    /**
302 >     * Inserts the specified element into this priority queue.
303 >     *
304 >     * @return {@code true} (as specified by {@link Collection#add})
305 >     * @throws ClassCastException if the specified element cannot be
306 >     *         compared with elements currently in this priority queue
307 >     *         according to the priority queue's ordering
308 >     * @throws NullPointerException if the specified element is null
309 >     */
310 >    public boolean add(E e) {
311 >        return offer(e);
312      }
313 +
314 +    /**
315 +     * Inserts the specified element into this priority queue.
316 +     *
317 +     * @return {@code true} (as specified by {@link Queue#offer})
318 +     * @throws ClassCastException if the specified element cannot be
319 +     *         compared with elements currently in this priority queue
320 +     *         according to the priority queue's ordering
321 +     * @throws NullPointerException if the specified element is null
322 +     */
323 +    public boolean offer(E e) {
324 +        if (e == null)
325 +            throw new NullPointerException();
326 +        modCount++;
327 +        int i = size;
328 +        if (i >= queue.length)
329 +            grow(i + 1);
330 +        siftUp(i, e);
331 +        size = i + 1;
332 +        return true;
333 +    }
334 +
335      public E peek() {
336 <        return null;
336 >        return (E) queue[0];
337      }
338  
339 <    public boolean isEmpty() {
340 <        return false;
339 >    private int indexOf(Object o) {
340 >        if (o != null) {
341 >            final Object[] es = queue;
342 >            for (int i = 0, n = size; i < n; i++)
343 >                if (o.equals(es[i]))
344 >                    return i;
345 >        }
346 >        return -1;
347      }
348 <    public int size() {
349 <        return 0;
348 >
349 >    /**
350 >     * Removes a single instance of the specified element from this queue,
351 >     * if it is present.  More formally, removes an element {@code e} such
352 >     * that {@code o.equals(e)}, if this queue contains one or more such
353 >     * elements.  Returns {@code true} if and only if this queue contained
354 >     * the specified element (or equivalently, if this queue changed as a
355 >     * result of the call).
356 >     *
357 >     * @param o element to be removed from this queue, if present
358 >     * @return {@code true} if this queue changed as a result of the call
359 >     */
360 >    public boolean remove(Object o) {
361 >        int i = indexOf(o);
362 >        if (i == -1)
363 >            return false;
364 >        else {
365 >            removeAt(i);
366 >            return true;
367 >        }
368 >    }
369 >
370 >    /**
371 >     * Identity-based version for use in Itr.remove.
372 >     *
373 >     * @param o element to be removed from this queue, if present
374 >     */
375 >    void removeEq(Object o) {
376 >        final Object[] es = queue;
377 >        for (int i = 0, n = size; i < n; i++) {
378 >            if (o == es[i]) {
379 >                removeAt(i);
380 >                break;
381 >            }
382 >        }
383      }
384 +
385 +    /**
386 +     * Returns {@code true} if this queue contains the specified element.
387 +     * More formally, returns {@code true} if and only if this queue contains
388 +     * at least one element {@code e} such that {@code o.equals(e)}.
389 +     *
390 +     * @param o object to be checked for containment in this queue
391 +     * @return {@code true} if this queue contains the specified element
392 +     */
393 +    public boolean contains(Object o) {
394 +        return indexOf(o) >= 0;
395 +    }
396 +
397 +    /**
398 +     * Returns an array containing all of the elements in this queue.
399 +     * The elements are in no particular order.
400 +     *
401 +     * <p>The returned array will be "safe" in that no references to it are
402 +     * maintained by this queue.  (In other words, this method must allocate
403 +     * a new array).  The caller is thus free to modify the returned array.
404 +     *
405 +     * <p>This method acts as bridge between array-based and collection-based
406 +     * APIs.
407 +     *
408 +     * @return an array containing all of the elements in this queue
409 +     */
410      public Object[] toArray() {
411 <        return null;
411 >        return Arrays.copyOf(queue, size);
412 >    }
413 >
414 >    /**
415 >     * Returns an array containing all of the elements in this queue; the
416 >     * runtime type of the returned array is that of the specified array.
417 >     * The returned array elements are in no particular order.
418 >     * If the queue fits in the specified array, it is returned therein.
419 >     * Otherwise, a new array is allocated with the runtime type of the
420 >     * specified array and the size of this queue.
421 >     *
422 >     * <p>If the queue fits in the specified array with room to spare
423 >     * (i.e., the array has more elements than the queue), the element in
424 >     * the array immediately following the end of the collection is set to
425 >     * {@code null}.
426 >     *
427 >     * <p>Like the {@link #toArray()} method, this method acts as bridge between
428 >     * array-based and collection-based APIs.  Further, this method allows
429 >     * precise control over the runtime type of the output array, and may,
430 >     * under certain circumstances, be used to save allocation costs.
431 >     *
432 >     * <p>Suppose {@code x} is a queue known to contain only strings.
433 >     * The following code can be used to dump the queue into a newly
434 >     * allocated array of {@code String}:
435 >     *
436 >     * <pre> {@code String[] y = x.toArray(new String[0]);}</pre>
437 >     *
438 >     * Note that {@code toArray(new Object[0])} is identical in function to
439 >     * {@code toArray()}.
440 >     *
441 >     * @param a the array into which the elements of the queue are to
442 >     *          be stored, if it is big enough; otherwise, a new array of the
443 >     *          same runtime type is allocated for this purpose.
444 >     * @return an array containing all of the elements in this queue
445 >     * @throws ArrayStoreException if the runtime type of the specified array
446 >     *         is not a supertype of the runtime type of every element in
447 >     *         this queue
448 >     * @throws NullPointerException if the specified array is null
449 >     */
450 >    public <T> T[] toArray(T[] a) {
451 >        final int size = this.size;
452 >        if (a.length < size)
453 >            // Make a new array of a's runtime type, but my contents:
454 >            return (T[]) Arrays.copyOf(queue, size, a.getClass());
455 >        System.arraycopy(queue, 0, a, 0, size);
456 >        if (a.length > size)
457 >            a[size] = null;
458 >        return a;
459 >    }
460 >
461 >    /**
462 >     * Returns an iterator over the elements in this queue. The iterator
463 >     * does not return the elements in any particular order.
464 >     *
465 >     * @return an iterator over the elements in this queue
466 >     */
467 >    public Iterator<E> iterator() {
468 >        return new Itr();
469 >    }
470 >
471 >    private final class Itr implements Iterator<E> {
472 >        /**
473 >         * Index (into queue array) of element to be returned by
474 >         * subsequent call to next.
475 >         */
476 >        private int cursor;
477 >
478 >        /**
479 >         * Index of element returned by most recent call to next,
480 >         * unless that element came from the forgetMeNot list.
481 >         * Set to -1 if element is deleted by a call to remove.
482 >         */
483 >        private int lastRet = -1;
484 >
485 >        /**
486 >         * A queue of elements that were moved from the unvisited portion of
487 >         * the heap into the visited portion as a result of "unlucky" element
488 >         * removals during the iteration.  (Unlucky element removals are those
489 >         * that require a siftup instead of a siftdown.)  We must visit all of
490 >         * the elements in this list to complete the iteration.  We do this
491 >         * after we've completed the "normal" iteration.
492 >         *
493 >         * We expect that most iterations, even those involving removals,
494 >         * will not need to store elements in this field.
495 >         */
496 >        private ArrayDeque<E> forgetMeNot;
497 >
498 >        /**
499 >         * Element returned by the most recent call to next iff that
500 >         * element was drawn from the forgetMeNot list.
501 >         */
502 >        private E lastRetElt;
503 >
504 >        /**
505 >         * The modCount value that the iterator believes that the backing
506 >         * Queue should have.  If this expectation is violated, the iterator
507 >         * has detected concurrent modification.
508 >         */
509 >        private int expectedModCount = modCount;
510 >
511 >        Itr() {}                        // prevent access constructor creation
512 >
513 >        public boolean hasNext() {
514 >            return cursor < size ||
515 >                (forgetMeNot != null && !forgetMeNot.isEmpty());
516 >        }
517 >
518 >        public E next() {
519 >            if (expectedModCount != modCount)
520 >                throw new ConcurrentModificationException();
521 >            if (cursor < size)
522 >                return (E) queue[lastRet = cursor++];
523 >            if (forgetMeNot != null) {
524 >                lastRet = -1;
525 >                lastRetElt = forgetMeNot.poll();
526 >                if (lastRetElt != null)
527 >                    return lastRetElt;
528 >            }
529 >            throw new NoSuchElementException();
530 >        }
531 >
532 >        public void remove() {
533 >            if (expectedModCount != modCount)
534 >                throw new ConcurrentModificationException();
535 >            if (lastRet != -1) {
536 >                E moved = PriorityQueue.this.removeAt(lastRet);
537 >                lastRet = -1;
538 >                if (moved == null)
539 >                    cursor--;
540 >                else {
541 >                    if (forgetMeNot == null)
542 >                        forgetMeNot = new ArrayDeque<>();
543 >                    forgetMeNot.add(moved);
544 >                }
545 >            } else if (lastRetElt != null) {
546 >                PriorityQueue.this.removeEq(lastRetElt);
547 >                lastRetElt = null;
548 >            } else {
549 >                throw new IllegalStateException();
550 >            }
551 >            expectedModCount = modCount;
552 >        }
553 >    }
554 >
555 >    public int size() {
556 >        return size;
557 >    }
558 >
559 >    /**
560 >     * Removes all of the elements from this priority queue.
561 >     * The queue will be empty after this call returns.
562 >     */
563 >    public void clear() {
564 >        modCount++;
565 >        final Object[] es = queue;
566 >        for (int i = 0, n = size; i < n; i++)
567 >            es[i] = null;
568 >        size = 0;
569 >    }
570 >
571 >    public E poll() {
572 >        final Object[] es;
573 >        final E result;
574 >
575 >        if ((result = (E) ((es = queue)[0])) != null) {
576 >            modCount++;
577 >            final int n;
578 >            final E x = (E) es[(n = --size)];
579 >            es[n] = null;
580 >            if (n > 0) {
581 >                final Comparator<? super E> cmp;
582 >                if ((cmp = comparator) == null)
583 >                    siftDownComparable(0, x, es, n);
584 >                else
585 >                    siftDownUsingComparator(0, x, es, n, cmp);
586 >            }
587 >        }
588 >        return result;
589      }
590  
591 <    public <T> T[] toArray(T[] array) {
591 >    /**
592 >     * Removes the ith element from queue.
593 >     *
594 >     * Normally this method leaves the elements at up to i-1,
595 >     * inclusive, untouched.  Under these circumstances, it returns
596 >     * null.  Occasionally, in order to maintain the heap invariant,
597 >     * it must swap a later element of the list with one earlier than
598 >     * i.  Under these circumstances, this method returns the element
599 >     * that was previously at the end of the list and is now at some
600 >     * position before i. This fact is used by iterator.remove so as to
601 >     * avoid missing traversing elements.
602 >     */
603 >    E removeAt(int i) {
604 >        // assert i >= 0 && i < size;
605 >        final Object[] es = queue;
606 >        modCount++;
607 >        int s = --size;
608 >        if (s == i) // removed last element
609 >            es[i] = null;
610 >        else {
611 >            E moved = (E) es[s];
612 >            es[s] = null;
613 >            siftDown(i, moved);
614 >            if (es[i] == moved) {
615 >                siftUp(i, moved);
616 >                if (es[i] != moved)
617 >                    return moved;
618 >            }
619 >        }
620          return null;
621      }
622  
623 +    /**
624 +     * Inserts item x at position k, maintaining heap invariant by
625 +     * promoting x up the tree until it is greater than or equal to
626 +     * its parent, or is the root.
627 +     *
628 +     * To simplify and speed up coercions and comparisons, the
629 +     * Comparable and Comparator versions are separated into different
630 +     * methods that are otherwise identical. (Similarly for siftDown.)
631 +     *
632 +     * @param k the position to fill
633 +     * @param x the item to insert
634 +     */
635 +    private void siftUp(int k, E x) {
636 +        if (comparator != null)
637 +            siftUpUsingComparator(k, x, queue, comparator);
638 +        else
639 +            siftUpComparable(k, x, queue);
640 +    }
641 +
642 +    private static <T> void siftUpComparable(int k, T x, Object[] es) {
643 +        Comparable<? super T> key = (Comparable<? super T>) x;
644 +        while (k > 0) {
645 +            int parent = (k - 1) >>> 1;
646 +            Object e = es[parent];
647 +            if (key.compareTo((T) e) >= 0)
648 +                break;
649 +            es[k] = e;
650 +            k = parent;
651 +        }
652 +        es[k] = key;
653 +    }
654 +
655 +    private static <T> void siftUpUsingComparator(
656 +        int k, T x, Object[] es, Comparator<? super T> cmp) {
657 +        while (k > 0) {
658 +            int parent = (k - 1) >>> 1;
659 +            Object e = es[parent];
660 +            if (cmp.compare(x, (T) e) >= 0)
661 +                break;
662 +            es[k] = e;
663 +            k = parent;
664 +        }
665 +        es[k] = x;
666 +    }
667 +
668 +    /**
669 +     * Inserts item x at position k, maintaining heap invariant by
670 +     * demoting x down the tree repeatedly until it is less than or
671 +     * equal to its children or is a leaf.
672 +     *
673 +     * @param k the position to fill
674 +     * @param x the item to insert
675 +     */
676 +    private void siftDown(int k, E x) {
677 +        if (comparator != null)
678 +            siftDownUsingComparator(k, x, queue, size, comparator);
679 +        else
680 +            siftDownComparable(k, x, queue, size);
681 +    }
682 +
683 +    private static <T> void siftDownComparable(int k, T x, Object[] es, int n) {
684 +        // assert n > 0;
685 +        Comparable<? super T> key = (Comparable<? super T>)x;
686 +        int half = n >>> 1;           // loop while a non-leaf
687 +        while (k < half) {
688 +            int child = (k << 1) + 1; // assume left child is least
689 +            Object c = es[child];
690 +            int right = child + 1;
691 +            if (right < n &&
692 +                ((Comparable<? super T>) c).compareTo((T) es[right]) > 0)
693 +                c = es[child = right];
694 +            if (key.compareTo((T) c) <= 0)
695 +                break;
696 +            es[k] = c;
697 +            k = child;
698 +        }
699 +        es[k] = key;
700 +    }
701 +
702 +    private static <T> void siftDownUsingComparator(
703 +        int k, T x, Object[] es, int n, Comparator<? super T> cmp) {
704 +        // assert n > 0;
705 +        int half = n >>> 1;
706 +        while (k < half) {
707 +            int child = (k << 1) + 1;
708 +            Object c = es[child];
709 +            int right = child + 1;
710 +            if (right < n && cmp.compare((T) c, (T) es[right]) > 0)
711 +                c = es[child = right];
712 +            if (cmp.compare(x, (T) c) <= 0)
713 +                break;
714 +            es[k] = c;
715 +            k = child;
716 +        }
717 +        es[k] = x;
718 +    }
719 +
720 +    /**
721 +     * Establishes the heap invariant (described above) in the entire tree,
722 +     * assuming nothing about the order of the elements prior to the call.
723 +     * This classic algorithm due to Floyd (1964) is known to be O(size).
724 +     */
725 +    private void heapify() {
726 +        final Object[] es = queue;
727 +        int n = size, i = (n >>> 1) - 1;
728 +        final Comparator<? super E> cmp;
729 +        if ((cmp = comparator) == null)
730 +            for (; i >= 0; i--)
731 +                siftDownComparable(i, (E) es[i], es, n);
732 +        else
733 +            for (; i >= 0; i--)
734 +                siftDownUsingComparator(i, (E) es[i], es, n, cmp);
735 +    }
736 +
737 +    /**
738 +     * Returns the comparator used to order the elements in this
739 +     * queue, or {@code null} if this queue is sorted according to
740 +     * the {@linkplain Comparable natural ordering} of its elements.
741 +     *
742 +     * @return the comparator used to order this queue, or
743 +     *         {@code null} if this queue is sorted according to the
744 +     *         natural ordering of its elements
745 +     */
746 +    public Comparator<? super E> comparator() {
747 +        return comparator;
748 +    }
749 +
750 +    /**
751 +     * Saves this queue to a stream (that is, serializes it).
752 +     *
753 +     * @param s the stream
754 +     * @throws java.io.IOException if an I/O error occurs
755 +     * @serialData The length of the array backing the instance is
756 +     *             emitted (int), followed by all of its elements
757 +     *             (each an {@code Object}) in the proper order.
758 +     */
759 +    // OPENJDK @java.io.Serial
760 +    private void writeObject(java.io.ObjectOutputStream s)
761 +        throws java.io.IOException {
762 +        // Write out element count, and any hidden stuff
763 +        s.defaultWriteObject();
764 +
765 +        // Write out array length, for compatibility with 1.5 version
766 +        s.writeInt(Math.max(2, size + 1));
767 +
768 +        // Write out all elements in the "proper order".
769 +        final Object[] es = queue;
770 +        for (int i = 0, n = size; i < n; i++)
771 +            s.writeObject(es[i]);
772 +    }
773 +
774 +    /**
775 +     * Reconstitutes the {@code PriorityQueue} instance from a stream
776 +     * (that is, deserializes it).
777 +     *
778 +     * @param s the stream
779 +     * @throws ClassNotFoundException if the class of a serialized object
780 +     *         could not be found
781 +     * @throws java.io.IOException if an I/O error occurs
782 +     */
783 +    // OPENJDK @java.io.Serial
784 +    private void readObject(java.io.ObjectInputStream s)
785 +        throws java.io.IOException, ClassNotFoundException {
786 +        // Read in size, and any hidden stuff
787 +        s.defaultReadObject();
788 +
789 +        // Read in (and discard) array length
790 +        s.readInt();
791 +
792 +        jsr166.Platform.checkArray(s, Object[].class, size);
793 +        final Object[] es = queue = new Object[Math.max(size, 1)];
794 +
795 +        // Read in all elements.
796 +        for (int i = 0, n = size; i < n; i++)
797 +            es[i] = s.readObject();
798 +
799 +        // Elements are guaranteed to be in "proper order", but the
800 +        // spec has never explained what that might be.
801 +        heapify();
802 +    }
803 +
804 +    /**
805 +     * Creates a <em><a href="Spliterator.html#binding">late-binding</a></em>
806 +     * and <em>fail-fast</em> {@link Spliterator} over the elements in this
807 +     * queue. The spliterator does not traverse elements in any particular order
808 +     * (the {@link Spliterator#ORDERED ORDERED} characteristic is not reported).
809 +     *
810 +     * <p>The {@code Spliterator} reports {@link Spliterator#SIZED},
811 +     * {@link Spliterator#SUBSIZED}, and {@link Spliterator#NONNULL}.
812 +     * Overriding implementations should document the reporting of additional
813 +     * characteristic values.
814 +     *
815 +     * @return a {@code Spliterator} over the elements in this queue
816 +     * @since 1.8
817 +     */
818 +    public final Spliterator<E> spliterator() {
819 +        return new PriorityQueueSpliterator(0, -1, 0);
820 +    }
821 +
822 +    final class PriorityQueueSpliterator implements Spliterator<E> {
823 +        private int index;            // current index, modified on advance/split
824 +        private int fence;            // -1 until first use
825 +        private int expectedModCount; // initialized when fence set
826 +
827 +        /** Creates new spliterator covering the given range. */
828 +        PriorityQueueSpliterator(int origin, int fence, int expectedModCount) {
829 +            this.index = origin;
830 +            this.fence = fence;
831 +            this.expectedModCount = expectedModCount;
832 +        }
833 +
834 +        private int getFence() { // initialize fence to size on first use
835 +            int hi;
836 +            if ((hi = fence) < 0) {
837 +                expectedModCount = modCount;
838 +                hi = fence = size;
839 +            }
840 +            return hi;
841 +        }
842 +
843 +        public PriorityQueueSpliterator trySplit() {
844 +            int hi = getFence(), lo = index, mid = (lo + hi) >>> 1;
845 +            return (lo >= mid) ? null :
846 +                new PriorityQueueSpliterator(lo, index = mid, expectedModCount);
847 +        }
848 +
849 +        public void forEachRemaining(Consumer<? super E> action) {
850 +            if (action == null)
851 +                throw new NullPointerException();
852 +            if (fence < 0) { fence = size; expectedModCount = modCount; }
853 +            final Object[] es = queue;
854 +            int i, hi; E e;
855 +            for (i = index, index = hi = fence; i < hi; i++) {
856 +                if ((e = (E) es[i]) == null)
857 +                    break;      // must be CME
858 +                action.accept(e);
859 +            }
860 +            if (modCount != expectedModCount)
861 +                throw new ConcurrentModificationException();
862 +        }
863 +
864 +        public boolean tryAdvance(Consumer<? super E> action) {
865 +            if (action == null)
866 +                throw new NullPointerException();
867 +            if (fence < 0) { fence = size; expectedModCount = modCount; }
868 +            int i;
869 +            if ((i = index) < fence) {
870 +                index = i + 1;
871 +                E e;
872 +                if ((e = (E) queue[i]) == null
873 +                    || modCount != expectedModCount)
874 +                    throw new ConcurrentModificationException();
875 +                action.accept(e);
876 +                return true;
877 +            }
878 +            return false;
879 +        }
880 +
881 +        public long estimateSize() {
882 +            return getFence() - index;
883 +        }
884 +
885 +        public int characteristics() {
886 +            return Spliterator.SIZED | Spliterator.SUBSIZED | Spliterator.NONNULL;
887 +        }
888 +    }
889 +
890 +    /**
891 +     * @throws NullPointerException {@inheritDoc}
892 +     */
893 +    public boolean removeIf(Predicate<? super E> filter) {
894 +        Objects.requireNonNull(filter);
895 +        return bulkRemove(filter);
896 +    }
897 +
898 +    /**
899 +     * @throws NullPointerException {@inheritDoc}
900 +     */
901 +    public boolean removeAll(Collection<?> c) {
902 +        Objects.requireNonNull(c);
903 +        return bulkRemove(e -> c.contains(e));
904 +    }
905 +
906 +    /**
907 +     * @throws NullPointerException {@inheritDoc}
908 +     */
909 +    public boolean retainAll(Collection<?> c) {
910 +        Objects.requireNonNull(c);
911 +        return bulkRemove(e -> !c.contains(e));
912 +    }
913 +
914 +    // A tiny bit set implementation
915 +
916 +    private static long[] nBits(int n) {
917 +        return new long[((n - 1) >> 6) + 1];
918 +    }
919 +    private static void setBit(long[] bits, int i) {
920 +        bits[i >> 6] |= 1L << i;
921 +    }
922 +    private static boolean isClear(long[] bits, int i) {
923 +        return (bits[i >> 6] & (1L << i)) == 0;
924 +    }
925 +
926 +    /** Implementation of bulk remove methods. */
927 +    private boolean bulkRemove(Predicate<? super E> filter) {
928 +        final int expectedModCount = ++modCount;
929 +        final Object[] es = queue;
930 +        final int end = size;
931 +        int i;
932 +        // Optimize for initial run of survivors
933 +        for (i = 0; i < end && !filter.test((E) es[i]); i++)
934 +            ;
935 +        if (i >= end) {
936 +            if (modCount != expectedModCount)
937 +                throw new ConcurrentModificationException();
938 +            return false;
939 +        }
940 +        // Tolerate predicates that reentrantly access the collection for
941 +        // read (but writers still get CME), so traverse once to find
942 +        // elements to delete, a second pass to physically expunge.
943 +        final int beg = i;
944 +        final long[] deathRow = nBits(end - beg);
945 +        deathRow[0] = 1L;   // set bit 0
946 +        for (i = beg + 1; i < end; i++)
947 +            if (filter.test((E) es[i]))
948 +                setBit(deathRow, i - beg);
949 +        if (modCount != expectedModCount)
950 +            throw new ConcurrentModificationException();
951 +        int w = beg;
952 +        for (i = beg; i < end; i++)
953 +            if (isClear(deathRow, i - beg))
954 +                es[w++] = es[i];
955 +        for (i = size = w; i < end; i++)
956 +            es[i] = null;
957 +        heapify();
958 +        return true;
959 +    }
960 +
961 +    /**
962 +     * @throws NullPointerException {@inheritDoc}
963 +     */
964 +    public void forEach(Consumer<? super E> action) {
965 +        Objects.requireNonNull(action);
966 +        final int expectedModCount = modCount;
967 +        final Object[] es = queue;
968 +        for (int i = 0, n = size; i < n; i++)
969 +            action.accept((E) es[i]);
970 +        if (expectedModCount != modCount)
971 +            throw new ConcurrentModificationException();
972 +    }
973   }

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