JDK源码分析之PriorityQueue类

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package java.util;

/**
 * An unbounded priority {@linkplain Queue queue} based on a priority heap.
 * The elements of the priority queue are ordered according to their
 * {@linkplain Comparable natural ordering}, or by a {@link Comparator}
 * provided at queue construction time, depending on which constructor is
 * used.  A priority queue does not permit {@code null} elements.
 * A priority queue relying on natural ordering also does not permit
 * insertion of non-comparable objects (doing so may result in
 * {@code ClassCastException}).
 *
 * <p>The <em>head</em> of this queue is the <em>least</em> element
 * with respect to the specified ordering.  If multiple elements are
 * tied for least value, the head is one of those elements -- ties are
 * broken arbitrarily.  The queue retrieval operations {@code poll},
 * {@code remove}, {@code peek}, and {@code element} access the
 * element at the head of the queue.
 *
 * <p>A priority queue is unbounded, but has an internal
 * <i>capacity</i> governing the size of an array used to store the
 * elements on the queue.  It is always at least as large as the queue
 * size.  As elements are added to a priority queue, its capacity
 * grows automatically.  The details of the growth policy are not
 * specified.
 *
 * <p>This class and its iterator implement all of the
 * <em>optional</em> methods of the {@link Collection} and {@link
 * Iterator} interfaces.  The Iterator provided in method {@link
 * #iterator()} is <em>not</em> guaranteed to traverse the elements of
 * the priority queue in any particular order. If you need ordered
 * traversal, consider using {@code Arrays.sort(pq.toArray())}.
 *
 * <p> <strong>Note that this implementation is not synchronized.</strong>
 * Multiple threads should not access a {@code PriorityQueue}
 * instance concurrently if any of the threads modifies the queue.
 * Instead, use the thread-safe {@link
 * java.util.concurrent.PriorityBlockingQueue} class.
 *
 * <p>Implementation note: this implementation provides
 * O(log(n)) time for the enqueing and dequeing methods
 * ({@code offer}, {@code poll}, {@code remove()} and {@code add});
 * linear time for the {@code remove(Object)} and {@code contains(Object)}
 * methods; and constant time for the retrieval methods
 * ({@code peek}, {@code element}, and {@code size}).
 *
 * <p>This class is a member of the
 * <a href="{@docRoot}/../technotes/guides/collections/index.html">
 * Java Collections Framework</a>.
 *
 * @since 1.5
 * @author Josh Bloch, Doug Lea
 * @param <E> the type of elements held in this collection
 */
public class PriorityQueue<E> extends AbstractQueue<E>
    implements java.io.Serializable {

    private static final long serialVersionUID = -7720805057305804111L;

    private static final int DEFAULT_INITIAL_CAPACITY = 11;

    /**
     * Priority queue represented as a balanced binary heap: the two
     * children of queue[n] are queue[2*n+1] and queue[2*(n+1)].  The
     * priority queue is ordered by comparator, or by the elements'
     * natural ordering, if comparator is null: For each node n in the
     * heap and each descendant d of n, n <= d.  The element with the
     * lowest value is in queue[0], assuming the queue is nonempty.
     */
    //队列存放值的数组
    private transient Object[] queue;

    /**
     * The number of elements in the priority queue.
     */
    //队列元素的大小
    private int size = 0;

    /**
     * The comparator, or null if priority queue uses elements'
     * natural ordering.
     */
    //队列维护排序的元素比较算子
    private final Comparator<? super E> comparator;

    /**
     * The number of times this priority queue has been
     * <i>structurally modified</i>.  See AbstractList for gory details.
     */
    private transient int modCount = 0;

    /**
     * Creates a {@code PriorityQueue} with the default initial
     * capacity (11) that orders its elements according to their
     * {@linkplain Comparable natural ordering}.
     */
    public PriorityQueue() {
        this(DEFAULT_INITIAL_CAPACITY, null);
    }

    /**
     * Creates a {@code PriorityQueue} with the specified initial
     * capacity that orders its elements according to their
     * {@linkplain Comparable natural ordering}.
     *
     * @param initialCapacity the initial capacity for this priority queue
     * @throws IllegalArgumentException if {@code initialCapacity} is less
     *         than 1
     */
    public PriorityQueue(int initialCapacity) {
        this(initialCapacity, null);
    }

    /**
     * Creates a {@code PriorityQueue} with the specified initial capacity
     * that orders its elements according to the specified comparator.
     *
     * @param  initialCapacity the initial capacity for this priority queue
     * @param  comparator the comparator that will be used to order this
     *         priority queue.  If {@code null}, the {@linkplain Comparable
     *         natural ordering} of the elements will be used.
     * @throws IllegalArgumentException if {@code initialCapacity} is
     *         less than 1
     */
    public PriorityQueue(int initialCapacity,
                         Comparator<? super E> comparator) {
        // Note: This restriction of at least one is not actually needed,
        // but continues for 1.5 compatibility
        if (initialCapacity < 1)
            throw new IllegalArgumentException();
        this.queue = new Object[initialCapacity];
        this.comparator = comparator;
    }

    /**
     * Creates a {@code PriorityQueue} containing the elements in the
     * specified collection.  If the specified collection is an instance of
     * a {@link SortedSet} or is another {@code PriorityQueue}, this
     * priority queue will be ordered according to the same ordering.
     * Otherwise, this priority queue will be ordered according to the
     * {@linkplain Comparable natural ordering} of its elements.
     *
     * @param  c the collection whose elements are to be placed
     *         into this priority queue
     * @throws ClassCastException if elements of the specified collection
     *         cannot be compared to one another according to the priority
     *         queue's ordering
     * @throws NullPointerException if the specified collection or any
     *         of its elements are null
     */
    /*
     * 根据传进来的集合生成queue
     */
    @SuppressWarnings("unchecked")
    public PriorityQueue(Collection<? extends E> c) {
        if (c instanceof SortedSet<?>) {
            SortedSet<? extends E> ss = (SortedSet<? extends E>) c;
            this.comparator = (Comparator<? super E>) ss.comparator();
            initElementsFromCollection(ss);//如果集合参数是个排序集合，则获取这个排序集合的比较子，赋值给该类比较子
        }
        else if (c instanceof PriorityQueue<?>) {
            PriorityQueue<? extends E> pq = (PriorityQueue<? extends E>) c;
            this.comparator = (Comparator<? super E>) pq.comparator();
            initFromPriorityQueue(pq);//如果集合参数是PriorityQueue情况
        }
        else {
            this.comparator = null;
            initFromCollection(c);//集合参数没有任何排序算子
        }
    }

    /**
     * Creates a {@code PriorityQueue} containing the elements in the
     * specified priority queue.  This priority queue will be
     * ordered according to the same ordering as the given priority
     * queue.
     *
     * @param  c the priority queue whose elements are to be placed
     *         into this priority queue
     * @throws ClassCastException if elements of {@code c} cannot be
     *         compared to one another according to {@code c}'s
     *         ordering
     * @throws NullPointerException if the specified priority queue or any
     *         of its elements are null
     */
    @SuppressWarnings("unchecked")
    public PriorityQueue(PriorityQueue<? extends E> c) {
        this.comparator = (Comparator<? super E>) c.comparator();
        initFromPriorityQueue(c);
    }

    /**
     * Creates a {@code PriorityQueue} containing the elements in the
     * specified sorted set.   This priority queue will be ordered
     * according to the same ordering as the given sorted set.
     *
     * @param  c the sorted set whose elements are to be placed
     *         into this priority queue
     * @throws ClassCastException if elements of the specified sorted
     *         set cannot be compared to one another according to the
     *         sorted set's ordering
     * @throws NullPointerException if the specified sorted set or any
     *         of its elements are null
     */
    @SuppressWarnings("unchecked")
    public PriorityQueue(SortedSet<? extends E> c) {
        this.comparator = (Comparator<? super E>) c.comparator();
        initElementsFromCollection(c);
    }

    private void initFromPriorityQueue(PriorityQueue<? extends E> c) {
        if (c.getClass() == PriorityQueue.class) {
            this.queue = c.toArray();
            this.size = c.size();
        } else {
            initFromCollection(c);
        }
    }

    
    /*
     * 1.将传进来的集合c赋值给队列的 属性Queue
     * 2.根据集合对象创建队列的所有元素
     */
    private void initElementsFromCollection(Collection<? extends E> c) {
        Object[] a = c.toArray();
        // If c.toArray incorrectly doesn't return Object[], copy it.
        if (a.getClass() != Object[].class)
            a = Arrays.copyOf(a, a.length, Object[].class);
        int len = a.length;
        //验证传进的集合中每个元素都不为空值
        if (len == 1 || this.comparator != null)
            for (int i = 0; i < len; i++)
                if (a[i] == null)
                    throw new NullPointerException();
        //设置对列类的queue值
        this.queue = a;
        //队列中元素个数
        this.size = a.length;
    }

    /**
     * Initializes queue array with elements from the given Collection.
     *
     * @param c the collection
     */
    //这个方法是用来处理 传入集合 参数没有任何排序逻辑的情况
    private void initFromCollection(Collection<? extends E> c) {
        initElementsFromCollection(c);//创建队列元素，集合参数没有任何的排序
        heapify();//进行"变异"堆排序，保证队列数组queue的元素在二叉树结构下，所有二叉树的根节点都是最小的。
    }

    /**
     * The maximum size of array to allocate.
     * Some VMs reserve some header words in an array.
     * Attempts to allocate larger arrays may result in
     * OutOfMemoryError: Requested array size exceeds VM limit
     */
    private static final int MAX_ARRAY_SIZE = Integer.MAX_VALUE - 8;

    /**
     * Increases the capacity of the array.
     *
     * @param minCapacity the desired minimum capacity
     */
    private void grow(int minCapacity) {
        int oldCapacity = queue.length;
        // Double size if small; else grow by 50%
        //队列扩容算法:在容量不超过64的时候，容量增加为原来两倍加上2，如果容量超过64(包含)，容量大小增加为原容量加上原容量的一般
        int newCapacity = oldCapacity + ((oldCapacity < 64) ?
                                         (oldCapacity + 2) :
                                         (oldCapacity >> 1));
        // overflow-conscious code
        if (newCapacity - MAX_ARRAY_SIZE > 0)//如果经过扩容算法后容量大于设定的最大容量MAX_ARRAY_SIZE
            newCapacity = hugeCapacity(minCapacity);//最小容量为oldCapacity+1
        queue = Arrays.copyOf(queue, newCapacity);
    }

    //如果扩容后容量大于设定的最大容量MAX_ARRAY_SIZE = Integer.MAX_VALUE - 8
    private static int hugeCapacity(int minCapacity) {
        if (minCapacity < 0) // overflow
            throw new OutOfMemoryError();
        return (minCapacity > MAX_ARRAY_SIZE) ?    //如果最小容量都大于MAX_ARRAY_SIZE了，则将容量设为Integer.MAX_VALUE，否则设为MAX_ARRAY_SIZE。
            Integer.MAX_VALUE :
            MAX_ARRAY_SIZE;
    }

    /**
     * Inserts the specified element into this priority queue.
     *
     * @return {@code true} (as specified by {@link Collection#add})
     * @throws ClassCastException if the specified element cannot be
     *         compared with elements currently in this priority queue
     *         according to the priority queue's ordering
     * @throws NullPointerException if the specified element is null
     */
    public boolean add(E e) {
        return offer(e);
    }

    /**
     * Inserts the specified element into this priority queue.
     *
     * @return {@code true} (as specified by {@link Queue#offer})
     * @throws ClassCastException if the specified element cannot be
     *         compared with elements currently in this priority queue
     *         according to the priority queue's ordering
     * @throws NullPointerException if the specified element is null
     */
    public boolean offer(E e) {
        if (e == null)
            throw new NullPointerException();
        modCount++;
        int i = size;
        if (i >= queue.length)//如果队列长度超容量，就增容
            grow(i + 1);
        size = i + 1;
        if (i == 0)//队列为空时，直接插入队列
            queue[0] = e;
        else	   //如果队列中已经存在元素了，则插入元素后要维护队列的排序(变异堆排序)
            siftUp(i, e);
        return true;
    }

    public E peek() {
        if (size == 0)
            return null;
        return (E) queue[0];
    }

    private int indexOf(Object o) {
        if (o != null) {
            for (int i = 0; i < size; i++)
                if (o.equals(queue[i]))
                    return i;
        }
        return -1;
    }

    /**
     * Removes a single instance of the specified element from this queue,
     * if it is present.  More formally, removes an element {@code e} such
     * that {@code o.equals(e)}, if this queue contains one or more such
     * elements.  Returns {@code true} if and only if this queue contained
     * the specified element (or equivalently, if this queue changed as a
     * result of the call).
     *
     * @param o element to be removed from this queue, if present
     * @return {@code true} if this queue changed as a result of the call
     */
    public boolean remove(Object o) {
        int i = indexOf(o);
        if (i == -1)
            return false;
        else {
            removeAt(i);
            return true;
        }
    }

    /**
     * Version of remove using reference equality, not equals.
     * Needed by iterator.remove.
     *
     * @param o element to be removed from this queue, if present
     * @return {@code true} if removed
     */
    boolean removeEq(Object o) {
        for (int i = 0; i < size; i++) {
            if (o == queue[i]) {
                removeAt(i);
                return true;
            }
        }
        return false;
    }

    /**
     * Returns {@code true} if this queue contains the specified element.
     * More formally, returns {@code true} if and only if this queue contains
     * at least one element {@code e} such that {@code o.equals(e)}.
     *
     * @param o object to be checked for containment in this queue
     * @return {@code true} if this queue contains the specified element
     */
    public boolean contains(Object o) {
        return indexOf(o) != -1;
    }

    /**
     * Returns an array containing all of the elements in this queue.
     * The elements are in no particular order.
     *
     * <p>The returned array will be "safe" in that no references to it are
     * maintained by this queue.  (In other words, this method must allocate
     * a new array).  The caller is thus free to modify the returned array.
     *
     * <p>This method acts as bridge between array-based and collection-based
     * APIs.
     *
     * @return an array containing all of the elements in this queue
     */
    public Object[] toArray() {
        return Arrays.copyOf(queue, size);
    }

    /**
     * Returns an array containing all of the elements in this queue; the
     * runtime type of the returned array is that of the specified array.
     * The returned array elements are in no particular order.
     * If the queue fits in the specified array, it is returned therein.
     * Otherwise, a new array is allocated with the runtime type of the
     * specified array and the size of this queue.
     *
     * <p>If the queue fits in the specified array with room to spare
     * (i.e., the array has more elements than the queue), the element in
     * the array immediately following the end of the collection is set to
     * {@code null}.
     *
     * <p>Like the {@link #toArray()} method, this method acts as bridge between
     * array-based and collection-based APIs.  Further, this method allows
     * precise control over the runtime type of the output array, and may,
     * under certain circumstances, be used to save allocation costs.
     *
     * <p>Suppose <tt>x</tt> is a queue known to contain only strings.
     * The following code can be used to dump the queue into a newly
     * allocated array of <tt>String</tt>:
     *
     * <pre>
     *     String[] y = x.toArray(new String[0]);</pre>
     *
     * Note that <tt>toArray(new Object[0])</tt> is identical in function to
     * <tt>toArray()</tt>.
     *
     * @param a the array into which the elements of the queue are to
     *          be stored, if it is big enough; otherwise, a new array of the
     *          same runtime type is allocated for this purpose.
     * @return an array containing all of the elements in this queue
     * @throws ArrayStoreException if the runtime type of the specified array
     *         is not a supertype of the runtime type of every element in
     *         this queue
     * @throws NullPointerException if the specified array is null
     */
    public <T> T[] toArray(T[] a) {
        if (a.length < size)
            // Make a new array of a's runtime type, but my contents:
            return (T[]) Arrays.copyOf(queue, size, a.getClass());
        System.arraycopy(queue, 0, a, 0, size);
        if (a.length > size)
            a[size] = null;
        return a;
    }

    /**
     * Returns an iterator over the elements in this queue. The iterator
     * does not return the elements in any particular order.
     *
     * @return an iterator over the elements in this queue
     */
    public Iterator<E> iterator() {
        return new Itr();
    }

    private final class Itr implements Iterator<E> {
        /**
         * Index (into queue array) of element to be returned by
         * subsequent call to next.
         */
        private int cursor = 0;

        /**
         * Index of element returned by most recent call to next,
         * unless that element came from the forgetMeNot list.
         * Set to -1 if element is deleted by a call to remove.
         */
        private int lastRet = -1;

        /**
         * A queue of elements that were moved from the unvisited portion of
         * the heap into the visited portion as a result of "unlucky" element
         * removals during the iteration.  (Unlucky element removals are those
         * that require a siftup instead of a siftdown.)  We must visit all of
         * the elements in this list to complete the iteration.  We do this
         * after we've completed the "normal" iteration.
         *
         * We expect that most iterations, even those involving removals,
         * will not need to store elements in this field.
         */
        private ArrayDeque<E> forgetMeNot = null;

        /**
         * Element returned by the most recent call to next iff that
         * element was drawn from the forgetMeNot list.
         */
        private E lastRetElt = null;

        /**
         * The modCount value that the iterator believes that the backing
         * Queue should have.  If this expectation is violated, the iterator
         * has detected concurrent modification.
         */
        private int expectedModCount = modCount;

        public boolean hasNext() {
            return cursor < size ||
                (forgetMeNot != null && !forgetMeNot.isEmpty());
        }

        public E next() {
            if (expectedModCount != modCount)
                throw new ConcurrentModificationException();
            if (cursor < size)
                return (E) queue[lastRet = cursor++];
            if (forgetMeNot != null) {
                lastRet = -1;
                lastRetElt = forgetMeNot.poll();
                if (lastRetElt != null)
                    return lastRetElt;
            }
            throw new NoSuchElementException();
        }

        public void remove() {
            if (expectedModCount != modCount)
                throw new ConcurrentModificationException();
            if (lastRet != -1) {
                E moved = PriorityQueue.this.removeAt(lastRet);
                lastRet = -1;
                if (moved == null)
                    cursor--;
                else {
                    if (forgetMeNot == null)
                        forgetMeNot = new ArrayDeque<>();
                    forgetMeNot.add(moved);
                }
            } else if (lastRetElt != null) {
                PriorityQueue.this.removeEq(lastRetElt);
                lastRetElt = null;
            } else {
                throw new IllegalStateException();
            }
            expectedModCount = modCount;
        }
    }

    public int size() {
        return size;
    }

    /**
     * Removes all of the elements from this priority queue.
     * 
     * The queue will be empty after this call returns.
     */
    /*
     * 将queue队列中所有引用元素都置为空
     * (non-Javadoc)
     * @see java.util.AbstractQueue#clear()
     */
    public void clear() {
        modCount++;
        for (int i = 0; i < size; i++)
            queue[i] = null;
        size = 0;
    }

    //队列出列是获取并删除在数组的第一个元素位置,并将最后一个元素放在根节点位置,这个影响的只是二叉树的一条路径,然后对这条路径进行半冒泡修复
    public E poll() {
        if (size == 0)
            return null;
        int s = --size;
        modCount++;
        E result = (E) queue[0];
        E x = (E) queue[s];
        queue[s] = null;
        if (s != 0)
            siftDown(0, x);
        return result;
    }

    /**
     * Removes the ith element from queue.
     *
     * Normally this method leaves the elements at up to i-1,
     * inclusive, untouched.  Under these circumstances, it returns
     * null.  Occasionally, in order to maintain the heap invariant,
     * it must swap a later element of the list with one earlier than
     * i.  Under these circumstances, this method returns the element
     * that was previously at the end of the list and is now at some
     * position before i. This fact is used by iterator.remove so as to
     * avoid missing traversing elements.
     */
    private E removeAt(int i) {
        assert i >= 0 && i < size;
        modCount++;
        int s = --size;
        if (s == i) // removed last element
            queue[i] = null;
        else {
            E moved = (E) queue[s];
            queue[s] = null;
            siftDown(i, moved);
            if (queue[i] == moved) {
                siftUp(i, moved);
                if (queue[i] != moved)
                    return moved;
            }
        }
        return null;
    }

    /**
     * Inserts item x at position k, maintaining heap invariant by
     * promoting x up the tree until it is greater than or equal to
     * its parent, or is the root.
     *
     * To simplify and speed up coercions and comparisons. the
     * Comparable and Comparator versions are separated into different
     * methods that are otherwise identical. (Similarly for siftDown.)
     *
     * @param k the position to fill
     * @param x the item to insert
     */
    private void siftUp(int k, E x) {//k为新增元素第一次放在数组queue的位置索引值
        if (comparator != null)
            siftUpUsingComparator(k, x);//有比较子的情况
        else
            siftUpComparable(k, x);	//没有比较子的情况
    }
//这个方法和siftUpUsingComparator方法一样.
    private void siftUpComparable(int k, E x) {
        Comparable<? super E> key = (Comparable<? super E>) x;
        while (k > 0) {
            int parent = (k - 1) >>> 1;
            Object e = queue[parent];
            if (key.compareTo((E) e) >= 0)
                break;
            queue[k] = e;
            k = parent;
        }
        queue[k] = key;
    }

    //根据二叉树数据结构来分析，二叉树的从根节点到任何树叶节点的路径上所有的节点的值都是按从小到大排列的.
    //这个排序是部分冒泡排序,因为在放入新元素之前,路径上的所有节点都是已经排列好了的.
    private void siftUpUsingComparator(int k, E x) {
        while (k > 0) {
            int parent = (k - 1) >>> 1;
            Object e = queue[parent];
            if (comparator.compare(x, (E) e) >= 0)
                break;
            queue[k] = e;
            k = parent;
        }
        queue[k] = x;
    }

    /**
     * Inserts item x at position k, maintaining heap invariant by
     * demoting x down the tree repeatedly until it is less than or
     * equal to its children or is a leaf.
     *
     * @param k the position to fill
     * @param x the item to insert
     */
    //这个函数就是加了一个判断，即如果比较子comparator为空，则使用元素类自身实现的比较接口方法，否则使用比较子进行比较
    private void siftDown(int k, E x) {
        if (comparator != null)
            siftDownUsingComparator(k, x);
        else
            siftDownComparable(k, x);
    }

    /*
     * 这个函数的排序方法和函数siftDownUsingComparator是一样的，这里我就不再赘述了；
     * 唯一的不同就是比较方法改变了。
     * 
     */
    private void siftDownComparable(int k, E x) {
        Comparable<? super E> key = (Comparable<? super E>)x;
        int half = size >>> 1;        // loop while a non-leaf
        while (k < half) {
            int child = (k << 1) + 1; // assume left child is least
            Object c = queue[child];
            int right = child + 1;
            if (right < size &&
                ((Comparable<? super E>) c).compareTo((E) queue[right]) > 0)
                c = queue[child = right];
            if (key.compareTo((E) c) <= 0)
                break;
            queue[k] = c;
            k = child;
        }
        queue[k] = key;
    }

    /*
     * 1.这个排序方式，最终结果使得每一个二叉子树的根节点都是最小值。
     * 2.开始循环的节点是二叉树的最后一个二叉点，最终节点为这一整个二叉树的根节点
     * 3.每次执行完一个节点后，都会保证这个子二叉树根节点为最小值，同时方法内的循环来修复受影响的子二叉树，
     */
    private void siftDownUsingComparator(int k, E x) {
        int half = size >>> 1;
        while (k < half) {//往下遍历所有的收到影响的子二叉树
            int child = (k << 1) + 1;//获取x节点的左子节点；
            Object c = queue[child];//获取左子节点的对象
            int right = child + 1;//右子节点的索引
            if (right < size &&// x节点的右子节点应该存在
                comparator.compare((E) c, (E) queue[right]) > 0)//如果右子节点存在，且比较的结果是左子节点大于右子节点
                c = queue[child = right];//child指向了右子节点的索引，child指向的是最小子节点；
            if (comparator.compare(x, (E) c) <= 0)//最小子节点和父节点x比较，如果父节点x值最小，则二叉茶树符合队列要求，推出循环，否则进行节点交换；
                break;
            queue[k] = c;//最小子节点移动到父节点x的索引位置；x逻辑上应该放在最小子节点的索引位置，但是如果这个最小子节点的二叉树受到影响的话，x还需要下沉。
            k = child;//k指向的是节点交换受到影响的子二叉树根节点，即x应该在的位置索引；
        }
        queue[k] = x;
    }

    /**
     * Establishes the heap invariant (described above) in the entire tree,
     * assuming nothing about the order of the elements prior to the call.
     */
    //对刚初始化的队列queue进行排序
    private void heapify() {
    	//这是一个对排序，这里循环的是二叉树中的非树叶节点
        for (int i = (size >>> 1) - 1; i >= 0; i--)
            siftDown(i, (E) queue[i]);//从子树节点循环到整个队列树根节点，即数组queue的第一个节点
    }

    /**
     * Returns the comparator used to order the elements in this
     * queue, or {@code null} if this queue is sorted according to
     * the {@linkplain Comparable natural ordering} of its elements.
     *
     * @return the comparator used to order this queue, or
     *         {@code null} if this queue is sorted according to the
     *         natural ordering of its elements
     */
    public Comparator<? super E> comparator() {
        return comparator;
    }

    /**
     * Saves the state of the instance to a stream (that
     * is, serializes it).
     *
     * @serialData The length of the array backing the instance is
     *             emitted (int), followed by all of its elements
     *             (each an {@code Object}) in the proper order.
     * @param s the stream
     */
    private void writeObject(java.io.ObjectOutputStream s)//支持序列化,持久化对象属性到文件流
        throws java.io.IOException{
        // Write out element count, and any hidden stuff
        s.defaultWriteObject();

        // Write out array length, for compatibility with 1.5 version
        s.writeInt(Math.max(2, size + 1));

        // Write out all elements in the "proper order".
        for (int i = 0; i < size; i++)
            s.writeObject(queue[i]);
    }

    /**
     * Reconstitutes the {@code PriorityQueue} instance from a stream
     * (that is, deserializes it).
     *
     * @param s the stream
     */
    private void readObject(java.io.ObjectInputStream s)//反序列化,从文件流中读取对象属性
        throws java.io.IOException, ClassNotFoundException {
        // Read in size, and any hidden stuff
        s.defaultReadObject();

        // Read in (and discard) array length
        s.readInt();

        queue = new Object[size];

        // Read in all elements.
        for (int i = 0; i < size; i++)
            queue[i] = s.readObject();

        // Elements are guaranteed to be in "proper order", but the
        // spec has never explained what that might be.
        heapify();
    }
}