/*
 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
 *
 * This code is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License version 2 only, as
 * published by the Free Software Foundation.  Oracle designates this
 * particular file as subject to the "Classpath" exception as provided
 * by Oracle in the LICENSE file that accompanied this code.
 *
 * This code is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
 * version 2 for more details (a copy is included in the LICENSE file that
 * accompanied this code).
 *
 * You should have received a copy of the GNU General Public License version
 * 2 along with this work; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
 *
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/*
 * This file is available under and governed by the GNU General Public
 * License version 2 only, as published by the Free Software Foundation.
 * However, the following notice accompanied the original version of this
 * file:
 *
 * Written by Josh Bloch of Google Inc. and released to the public domain,
 * as explained at http://creativecommons.org/publicdomain/zero/1.0/.
 */

package java.util;

import java.io.Serializable;
import java.util.function.Consumer;
import sun.misc.SharedSecrets;

Resizable-array implementation of the Deque interface. Array deques have no capacity restrictions; they grow as necessary to support usage. They are not thread-safe; in the absence of external synchronization, they do not support concurrent access by multiple threads. Null elements are prohibited. This class is likely to be faster than Stack when used as a stack, and faster than LinkedList when used as a queue. 
Most ArrayDeque operations run in amortized constant time. Exceptions include remove, removeFirstOccurrence, 
removeLastOccurrence, contains, 
iterator.remove(), and the bulk operations, all of which run in linear time. 
The iterators returned by this class's iterator method are fail-fast: If the deque is modified at any time after the iterator is created, in any way except through the iterator's own remove method, the iterator will generally throw a ConcurrentModificationException. Thus, in the face of concurrent modification, the iterator fails quickly and cleanly, rather than risking arbitrary, non-deterministic behavior at an undetermined time in the future. 
Note that the fail-fast behavior of an iterator cannot be guaranteed as it is, generally speaking, impossible to make any hard guarantees in the presence of unsynchronized concurrent modification. Fail-fast iterators throw ConcurrentModificationException on a best-effort basis. Therefore, it would be wrong to write a program that depended on this exception for its correctness: the fail-fast behavior of iterators
should be used only to detect bugs.
This class and its iterator implement all of the
optional methods of the Collection and Iterator interfaces. 
This class is a member of the

Java Collections Framework.
Author:
 Josh Bloch and Doug Lea
Type parameters:
<E> – the type of elements held in this collection
Since:
  1.6/**
 * Resizable-array implementation of the {@link Deque} interface.  Array
 * deques have no capacity restrictions; they grow as necessary to support
 * usage.  They are not thread-safe; in the absence of external
 * synchronization, they do not support concurrent access by multiple threads.
 * Null elements are prohibited.  This class is likely to be faster than
 * {@link Stack} when used as a stack, and faster than {@link LinkedList}
 * when used as a queue.
 *
 * <p>Most {@code ArrayDeque} operations run in amortized constant time.
 * Exceptions include {@link #remove(Object) remove}, {@link
 * #removeFirstOccurrence removeFirstOccurrence}, {@link #removeLastOccurrence
 * removeLastOccurrence}, {@link #contains contains}, {@link #iterator
 * iterator.remove()}, and the bulk operations, all of which run in linear
 * time.
 *
 * <p>The iterators returned by this class's {@code iterator} method are
 * <i>fail-fast</i>: If the deque is modified at any time after the iterator
 * is created, in any way except through the iterator's own {@code remove}
 * method, the iterator will generally throw a {@link
 * ConcurrentModificationException}.  Thus, in the face of concurrent
 * modification, the iterator fails quickly and cleanly, rather than risking
 * arbitrary, non-deterministic behavior at an undetermined time in the
 * future.
 *
 * <p>Note that the fail-fast behavior of an iterator cannot be guaranteed
 * as it is, generally speaking, impossible to make any hard guarantees in the
 * presence of unsynchronized concurrent modification.  Fail-fast iterators
 * throw {@code ConcurrentModificationException} on a best-effort basis.
 * Therefore, it would be wrong to write a program that depended on this
 * exception for its correctness: <i>the fail-fast behavior of iterators
 * should be used only to detect bugs.</i>
 *
 * <p>This class and its iterator implement all of the
 * <em>optional</em> methods of the {@link Collection} and {@link
 * Iterator} interfaces.
 *
 * <p>This class is a member of the
 * <a href="{@docRoot}/../technotes/guides/collections/index.html">
 * Java Collections Framework</a>.
 *
 * @author  Josh Bloch and Doug Lea
 * @since   1.6
 * @param <E> the type of elements held in this collection
 */
public class ArrayDeque<E> extends AbstractCollection<E>
                           implements Deque<E>, Cloneable, Serializable
{
    
The array in which the elements of the deque are stored.
The capacity of the deque is the length of this array, which is
always a power of two. The array is never allowed to become
full, except transiently within an addX method where it is
resized (see doubleCapacity) immediately upon becoming full,
thus avoiding head and tail wrapping around to equal each
other.  We also guarantee that all array cells not holding
deque elements are always null.
/**
     * The array in which the elements of the deque are stored.
     * The capacity of the deque is the length of this array, which is
     * always a power of two. The array is never allowed to become
     * full, except transiently within an addX method where it is
     * resized (see doubleCapacity) immediately upon becoming full,
     * thus avoiding head and tail wrapping around to equal each
     * other.  We also guarantee that all array cells not holding
     * deque elements are always null.
     */
    transient Object[] elements; // non-private to simplify nested class access

    
The index of the element at the head of the deque (which is the
element that would be removed by remove() or pop()); or an
arbitrary number equal to tail if the deque is empty.
/**
     * The index of the element at the head of the deque (which is the
     * element that would be removed by remove() or pop()); or an
     * arbitrary number equal to tail if the deque is empty.
     */
    transient int head;

    
The index at which the next element would be added to the tail
of the deque (via addLast(E), add(E), or push(E)).
/**
     * The index at which the next element would be added to the tail
     * of the deque (via addLast(E), add(E), or push(E)).
     */
    transient int tail;

    
The minimum capacity that we'll use for a newly created deque.
Must be a power of 2.
/**
     * The minimum capacity that we'll use for a newly created deque.
     * Must be a power of 2.
     */
    private static final int MIN_INITIAL_CAPACITY = 8;

    // ******  Array allocation and resizing utilities ******

    private static int calculateSize(int numElements) {
        int initialCapacity = MIN_INITIAL_CAPACITY;
        // Find the best power of two to hold elements.
        // Tests "<=" because arrays aren't kept full.
        if (numElements >= initialCapacity) {
            initialCapacity = numElements;
            initialCapacity |= (initialCapacity >>>  1);
            initialCapacity |= (initialCapacity >>>  2);
            initialCapacity |= (initialCapacity >>>  4);
            initialCapacity |= (initialCapacity >>>  8);
            initialCapacity |= (initialCapacity >>> 16);
            initialCapacity++;

            if (initialCapacity < 0)   // Too many elements, must back off
                initialCapacity >>>= 1;// Good luck allocating 2 ^ 30 elements
        }
        return initialCapacity;
    }

    
Allocates empty array to hold the given number of elements.
Params:
numElements –  the number of elements to hold/**
     * Allocates empty array to hold the given number of elements.
     *
     * @param numElements  the number of elements to hold
     */
    private void allocateElements(int numElements) {
        elements = new Object[calculateSize(numElements)];
    }

    
Doubles the capacity of this deque.  Call only when full, i.e.,
when head and tail have wrapped around to become equal.
/**
     * Doubles the capacity of this deque.  Call only when full, i.e.,
     * when head and tail have wrapped around to become equal.
     */
    private void doubleCapacity() {
        assert head == tail;
        int p = head;
        int n = elements.length;
        int r = n - p; // number of elements to the right of p
        int newCapacity = n << 1;
        if (newCapacity < 0)
            throw new IllegalStateException("Sorry, deque too big");
        Object[] a = new Object[newCapacity];
        System.arraycopy(elements, p, a, 0, r);
        System.arraycopy(elements, 0, a, r, p);
        elements = a;
        head = 0;
        tail = n;
    }

    
Copies the elements from our element array into the specified array,
in order (from first to last element in the deque).  It is assumed
that the array is large enough to hold all elements in the deque.
Returns:
its argument/**
     * Copies the elements from our element array into the specified array,
     * in order (from first to last element in the deque).  It is assumed
     * that the array is large enough to hold all elements in the deque.
     *
     * @return its argument
     */
    private <T> T[] copyElements(T[] a) {
        if (head < tail) {
            System.arraycopy(elements, head, a, 0, size());
        } else if (head > tail) {
            int headPortionLen = elements.length - head;
            System.arraycopy(elements, head, a, 0, headPortionLen);
            System.arraycopy(elements, 0, a, headPortionLen, tail);
        }
        return a;
    }

    
Constructs an empty array deque with an initial capacity
sufficient to hold 16 elements.
/**
     * Constructs an empty array deque with an initial capacity
     * sufficient to hold 16 elements.
     */
    public ArrayDeque() {
        elements = new Object[16];
    }

    
Constructs an empty array deque with an initial capacity
sufficient to hold the specified number of elements.
Params:
numElements –  lower bound on initial capacity of the deque/**
     * Constructs an empty array deque with an initial capacity
     * sufficient to hold the specified number of elements.
     *
     * @param numElements  lower bound on initial capacity of the deque
     */
    public ArrayDeque(int numElements) {
        allocateElements(numElements);
    }

    
Constructs a deque containing the elements of the specified
collection, in the order they are returned by the collection's
iterator.  (The first element returned by the collection's
iterator becomes the first element, or front of the
deque.)
Params:
c – the collection whose elements are to be placed into the deque
Throws:
NullPointerException – if the specified collection is null/**
     * Constructs a deque containing the elements of the specified
     * collection, in the order they are returned by the collection's
     * iterator.  (The first element returned by the collection's
     * iterator becomes the first element, or <i>front</i> of the
     * deque.)
     *
     * @param c the collection whose elements are to be placed into the deque
     * @throws NullPointerException if the specified collection is null
     */
    public ArrayDeque(Collection<? extends E> c) {
        allocateElements(c.size());
        addAll(c);
    }

    // The main insertion and extraction methods are addFirst,
    // addLast, pollFirst, pollLast. The other methods are defined in
    // terms of these.

    
Inserts the specified element at the front of this deque.
Params:
e – the element to add
Throws:
NullPointerException – if the specified element is null/**
     * Inserts the specified element at the front of this deque.
     *
     * @param e the element to add
     * @throws NullPointerException if the specified element is null
     */
    public void addFirst(E e) {
        if (e == null)
            throw new NullPointerException();
        elements[head = (head - 1) & (elements.length - 1)] = e;
        if (head == tail)
            doubleCapacity();
    }

    
Inserts the specified element at the end of this deque.
This method is equivalent to add. 
Params:
e – the element to add
Throws:
NullPointerException – if the specified element is null/**
     * Inserts the specified element at the end of this deque.
     *
     * <p>This method is equivalent to {@link #add}.
     *
     * @param e the element to add
     * @throws NullPointerException if the specified element is null
     */
    public void addLast(E e) {
        if (e == null)
            throw new NullPointerException();
        elements[tail] = e;
        if ( (tail = (tail + 1) & (elements.length - 1)) == head)
            doubleCapacity();
    }

    
Inserts the specified element at the front of this deque.
Params:
e – the element to add
Throws:
NullPointerException – if the specified element is null
Returns:
true (as specified by Deque.offerFirst)/**
     * Inserts the specified element at the front of this deque.
     *
     * @param e the element to add
     * @return {@code true} (as specified by {@link Deque#offerFirst})
     * @throws NullPointerException if the specified element is null
     */
    public boolean offerFirst(E e) {
        addFirst(e);
        return true;
    }

    
Inserts the specified element at the end of this deque.
Params:
e – the element to add
Throws:
NullPointerException – if the specified element is null
Returns:
true (as specified by Deque.offerLast)/**
     * Inserts the specified element at the end of this deque.
     *
     * @param e the element to add
     * @return {@code true} (as specified by {@link Deque#offerLast})
     * @throws NullPointerException if the specified element is null
     */
    public boolean offerLast(E e) {
        addLast(e);
        return true;
    }

    
Throws:
NoSuchElementException – {@inheritDoc}/**
     * @throws NoSuchElementException {@inheritDoc}
     */
    public E removeFirst() {
        E x = pollFirst();
        if (x == null)
            throw new NoSuchElementException();
        return x;
    }

    
Throws:
NoSuchElementException – {@inheritDoc}/**
     * @throws NoSuchElementException {@inheritDoc}
     */
    public E removeLast() {
        E x = pollLast();
        if (x == null)
            throw new NoSuchElementException();
        return x;
    }

    public E pollFirst() {
        int h = head;
        @SuppressWarnings("unchecked")
        E result = (E) elements[h];
        // Element is null if deque empty
        if (result == null)
            return null;
        elements[h] = null;     // Must null out slot
        head = (h + 1) & (elements.length - 1);
        return result;
    }

    public E pollLast() {
        int t = (tail - 1) & (elements.length - 1);
        @SuppressWarnings("unchecked")
        E result = (E) elements[t];
        if (result == null)
            return null;
        elements[t] = null;
        tail = t;
        return result;
    }

    
Throws:
NoSuchElementException – {@inheritDoc}/**
     * @throws NoSuchElementException {@inheritDoc}
     */
    public E getFirst() {
        @SuppressWarnings("unchecked")
        E result = (E) elements[head];
        if (result == null)
            throw new NoSuchElementException();
        return result;
    }

    
Throws:
NoSuchElementException – {@inheritDoc}/**
     * @throws NoSuchElementException {@inheritDoc}
     */
    public E getLast() {
        @SuppressWarnings("unchecked")
        E result = (E) elements[(tail - 1) & (elements.length - 1)];
        if (result == null)
            throw new NoSuchElementException();
        return result;
    }

    @SuppressWarnings("unchecked")
    public E peekFirst() {
        // elements[head] is null if deque empty
        return (E) elements[head];
    }

    @SuppressWarnings("unchecked")
    public E peekLast() {
        return (E) elements[(tail - 1) & (elements.length - 1)];
    }

    
Removes the first occurrence of the specified element in this deque (when traversing the deque from head to tail). If the deque does not contain the element, it is unchanged. More formally, removes the first element e such that o.equals(e) (if such an element exists). Returns true if this deque contained the specified element (or equivalently, if this deque changed as a result of the call). 
Params:
o – element to be removed from this deque, if present
Returns:
true if the deque contained the specified element/**
     * Removes the first occurrence of the specified element in this
     * deque (when traversing the deque from head to tail).
     * If the deque does not contain the element, it is unchanged.
     * More formally, removes the first element {@code e} such that
     * {@code o.equals(e)} (if such an element exists).
     * Returns {@code true} if this deque contained the specified element
     * (or equivalently, if this deque changed as a result of the call).
     *
     * @param o element to be removed from this deque, if present
     * @return {@code true} if the deque contained the specified element
     */
    public boolean removeFirstOccurrence(Object o) {
        if (o == null)
            return false;
        int mask = elements.length - 1;
        int i = head;
        Object x;
        while ( (x = elements[i]) != null) {
            if (o.equals(x)) {
                delete(i);
                return true;
            }
            i = (i + 1) & mask;
        }
        return false;
    }

    
Removes the last occurrence of the specified element in this deque (when traversing the deque from head to tail). If the deque does not contain the element, it is unchanged. More formally, removes the last element e such that o.equals(e) (if such an element exists). Returns true if this deque contained the specified element (or equivalently, if this deque changed as a result of the call). 
Params:
o – element to be removed from this deque, if present
Returns:
true if the deque contained the specified element/**
     * Removes the last occurrence of the specified element in this
     * deque (when traversing the deque from head to tail).
     * If the deque does not contain the element, it is unchanged.
     * More formally, removes the last element {@code e} such that
     * {@code o.equals(e)} (if such an element exists).
     * Returns {@code true} if this deque contained the specified element
     * (or equivalently, if this deque changed as a result of the call).
     *
     * @param o element to be removed from this deque, if present
     * @return {@code true} if the deque contained the specified element
     */
    public boolean removeLastOccurrence(Object o) {
        if (o == null)
            return false;
        int mask = elements.length - 1;
        int i = (tail - 1) & mask;
        Object x;
        while ( (x = elements[i]) != null) {
            if (o.equals(x)) {
                delete(i);
                return true;
            }
            i = (i - 1) & mask;
        }
        return false;
    }

    // *** Queue methods ***

    
Inserts the specified element at the end of this deque.
This method is equivalent to addLast. 
Params:
e – the element to add
Throws:
NullPointerException – if the specified element is null
Returns:
true (as specified by Collection.add)/**
     * Inserts the specified element at the end of this deque.
     *
     * <p>This method is equivalent to {@link #addLast}.
     *
     * @param e the element to add
     * @return {@code true} (as specified by {@link Collection#add})
     * @throws NullPointerException if the specified element is null
     */
    public boolean add(E e) {
        addLast(e);
        return true;
    }

    
Inserts the specified element at the end of this deque.
This method is equivalent to offerLast. 
Params:
e – the element to add
Throws:
NullPointerException – if the specified element is null
Returns:
true (as specified by Queue.offer)/**
     * Inserts the specified element at the end of this deque.
     *
     * <p>This method is equivalent to {@link #offerLast}.
     *
     * @param e the element to add
     * @return {@code true} (as specified by {@link Queue#offer})
     * @throws NullPointerException if the specified element is null
     */
    public boolean offer(E e) {
        return offerLast(e);
    }

    
Retrieves and removes the head of the queue represented by this deque. This method differs from poll only in that it throws an exception if this deque is empty. 
This method is equivalent to removeFirst. 
Throws:
NoSuchElementException – {@inheritDoc}
Returns:
the head of the queue represented by this deque/**
     * Retrieves and removes the head of the queue represented by this deque.
     *
     * This method differs from {@link #poll poll} only in that it throws an
     * exception if this deque is empty.
     *
     * <p>This method is equivalent to {@link #removeFirst}.
     *
     * @return the head of the queue represented by this deque
     * @throws NoSuchElementException {@inheritDoc}
     */
    public E remove() {
        return removeFirst();
    }

    
Retrieves and removes the head of the queue represented by this deque (in other words, the first element of this deque), or returns null if this deque is empty. 
This method is equivalent to pollFirst. 
Returns:
the head of the queue represented by this deque, or null if this deque is empty/**
     * Retrieves and removes the head of the queue represented by this deque
     * (in other words, the first element of this deque), or returns
     * {@code null} if this deque is empty.
     *
     * <p>This method is equivalent to {@link #pollFirst}.
     *
     * @return the head of the queue represented by this deque, or
     *         {@code null} if this deque is empty
     */
    public E poll() {
        return pollFirst();
    }

    
Retrieves, but does not remove, the head of the queue represented by this deque. This method differs from peek only in that it throws an exception if this deque is empty. 
This method is equivalent to getFirst. 
Throws:
NoSuchElementException – {@inheritDoc}
Returns:
the head of the queue represented by this deque/**
     * Retrieves, but does not remove, the head of the queue represented by
     * this deque.  This method differs from {@link #peek peek} only in
     * that it throws an exception if this deque is empty.
     *
     * <p>This method is equivalent to {@link #getFirst}.
     *
     * @return the head of the queue represented by this deque
     * @throws NoSuchElementException {@inheritDoc}
     */
    public E element() {
        return getFirst();
    }

    
Retrieves, but does not remove, the head of the queue represented by this deque, or returns null if this deque is empty. 
This method is equivalent to peekFirst. 
Returns:
the head of the queue represented by this deque, or null if this deque is empty/**
     * Retrieves, but does not remove, the head of the queue represented by
     * this deque, or returns {@code null} if this deque is empty.
     *
     * <p>This method is equivalent to {@link #peekFirst}.
     *
     * @return the head of the queue represented by this deque, or
     *         {@code null} if this deque is empty
     */
    public E peek() {
        return peekFirst();
    }

    // *** Stack methods ***

    
Pushes an element onto the stack represented by this deque.  In other
words, inserts the element at the front of this deque.
This method is equivalent to addFirst. 
Params:
e – the element to push
Throws:
NullPointerException – if the specified element is null/**
     * Pushes an element onto the stack represented by this deque.  In other
     * words, inserts the element at the front of this deque.
     *
     * <p>This method is equivalent to {@link #addFirst}.
     *
     * @param e the element to push
     * @throws NullPointerException if the specified element is null
     */
    public void push(E e) {
        addFirst(e);
    }

    
Pops an element from the stack represented by this deque.  In other
words, removes and returns the first element of this deque.
This method is equivalent to removeFirst(). 
Throws:
NoSuchElementException – {@inheritDoc}
Returns:
the element at the front of this deque (which is the top
        of the stack represented by this deque)/**
     * Pops an element from the stack represented by this deque.  In other
     * words, removes and returns the first element of this deque.
     *
     * <p>This method is equivalent to {@link #removeFirst()}.
     *
     * @return the element at the front of this deque (which is the top
     *         of the stack represented by this deque)
     * @throws NoSuchElementException {@inheritDoc}
     */
    public E pop() {
        return removeFirst();
    }

    private void checkInvariants() {
        assert elements[tail] == null;
        assert head == tail ? elements[head] == null :
            (elements[head] != null &&
             elements[(tail - 1) & (elements.length - 1)] != null);
        assert elements[(head - 1) & (elements.length - 1)] == null;
    }

    
Removes the element at the specified position in the elements array,
adjusting head and tail as necessary.  This can result in motion of
elements backwards or forwards in the array.
This method is called delete rather than remove to emphasize that its semantics differ from those of List.remove(int). 
Returns:
true if elements moved backwards/**
     * Removes the element at the specified position in the elements array,
     * adjusting head and tail as necessary.  This can result in motion of
     * elements backwards or forwards in the array.
     *
     * <p>This method is called delete rather than remove to emphasize
     * that its semantics differ from those of {@link List#remove(int)}.
     *
     * @return true if elements moved backwards
     */
    private boolean delete(int i) {
        checkInvariants();
        final Object[] elements = this.elements;
        final int mask = elements.length - 1;
        final int h = head;
        final int t = tail;
        final int front = (i - h) & mask;
        final int back  = (t - i) & mask;

        // Invariant: head <= i < tail mod circularity
        if (front >= ((t - h) & mask))
            throw new ConcurrentModificationException();

        // Optimize for least element motion
        if (front < back) {
            if (h <= i) {
                System.arraycopy(elements, h, elements, h + 1, front);
            } else { // Wrap around
                System.arraycopy(elements, 0, elements, 1, i);
                elements[0] = elements[mask];
                System.arraycopy(elements, h, elements, h + 1, mask - h);
            }
            elements[h] = null;
            head = (h + 1) & mask;
            return false;
        } else {
            if (i < t) { // Copy the null tail as well
                System.arraycopy(elements, i + 1, elements, i, back);
                tail = t - 1;
            } else { // Wrap around
                System.arraycopy(elements, i + 1, elements, i, mask - i);
                elements[mask] = elements[0];
                System.arraycopy(elements, 1, elements, 0, t);
                tail = (t - 1) & mask;
            }
            return true;
        }
    }

    // *** Collection Methods ***

    
Returns the number of elements in this deque.
Returns:
the number of elements in this deque/**
     * Returns the number of elements in this deque.
     *
     * @return the number of elements in this deque
     */
    public int size() {
        return (tail - head) & (elements.length - 1);
    }

    
Returns true if this deque contains no elements. 
Returns:
true if this deque contains no elements/**
     * Returns {@code true} if this deque contains no elements.
     *
     * @return {@code true} if this deque contains no elements
     */
    public boolean isEmpty() {
        return head == tail;
    }

    
Returns an iterator over the elements in this deque. The elements will be ordered from first (head) to last (tail). This is the same order that elements would be dequeued (via successive calls to remove or popped (via successive calls to pop). 
Returns:
an iterator over the elements in this deque/**
     * Returns an iterator over the elements in this deque.  The elements
     * will be ordered from first (head) to last (tail).  This is the same
     * order that elements would be dequeued (via successive calls to
     * {@link #remove} or popped (via successive calls to {@link #pop}).
     *
     * @return an iterator over the elements in this deque
     */
    public Iterator<E> iterator() {
        return new DeqIterator();
    }

    public Iterator<E> descendingIterator() {
        return new DescendingIterator();
    }

    private class DeqIterator implements Iterator<E> {
        
Index of element to be returned by subsequent call to next.
/**
         * Index of element to be returned by subsequent call to next.
         */
        private int cursor = head;

        
Tail recorded at construction (also in remove), to stop
iterator and also to check for comodification.
/**
         * Tail recorded at construction (also in remove), to stop
         * iterator and also to check for comodification.
         */
        private int fence = tail;

        
Index of element returned by most recent call to next.
Reset to -1 if element is deleted by a call to remove.
/**
         * Index of element returned by most recent call to next.
         * Reset to -1 if element is deleted by a call to remove.
         */
        private int lastRet = -1;

        public boolean hasNext() {
            return cursor != fence;
        }

        public E next() {
            if (cursor == fence)
                throw new NoSuchElementException();
            @SuppressWarnings("unchecked")
            E result = (E) elements[cursor];
            // This check doesn't catch all possible comodifications,
            // but does catch the ones that corrupt traversal
            if (tail != fence || result == null)
                throw new ConcurrentModificationException();
            lastRet = cursor;
            cursor = (cursor + 1) & (elements.length - 1);
            return result;
        }

        public void remove() {
            if (lastRet < 0)
                throw new IllegalStateException();
            if (delete(lastRet)) { // if left-shifted, undo increment in next()
                cursor = (cursor - 1) & (elements.length - 1);
                fence = tail;
            }
            lastRet = -1;
        }

        public void forEachRemaining(Consumer<? super E> action) {
            Objects.requireNonNull(action);
            Object[] a = elements;
            int m = a.length - 1, f = fence, i = cursor;
            cursor = f;
            while (i != f) {
                @SuppressWarnings("unchecked") E e = (E)a[i];
                i = (i + 1) & m;
                if (e == null)
                    throw new ConcurrentModificationException();
                action.accept(e);
            }
        }
    }

    private class DescendingIterator implements Iterator<E> {
        /*
         * This class is nearly a mirror-image of DeqIterator, using
         * tail instead of head for initial cursor, and head instead of
         * tail for fence.
         */
        private int cursor = tail;
        private int fence = head;
        private int lastRet = -1;

        public boolean hasNext() {
            return cursor != fence;
        }

        public E next() {
            if (cursor == fence)
                throw new NoSuchElementException();
            cursor = (cursor - 1) & (elements.length - 1);
            @SuppressWarnings("unchecked")
            E result = (E) elements[cursor];
            if (head != fence || result == null)
                throw new ConcurrentModificationException();
            lastRet = cursor;
            return result;
        }

        public void remove() {
            if (lastRet < 0)
                throw new IllegalStateException();
            if (!delete(lastRet)) {
                cursor = (cursor + 1) & (elements.length - 1);
                fence = head;
            }
            lastRet = -1;
        }
    }

    
Returns true if this deque contains the specified element. More formally, returns true if and only if this deque contains at least one element e such that o.equals(e). 
Params:
o – object to be checked for containment in this deque
Returns:
true if this deque contains the specified element/**
     * Returns {@code true} if this deque contains the specified element.
     * More formally, returns {@code true} if and only if this deque contains
     * at least one element {@code e} such that {@code o.equals(e)}.
     *
     * @param o object to be checked for containment in this deque
     * @return {@code true} if this deque contains the specified element
     */
    public boolean contains(Object o) {
        if (o == null)
            return false;
        int mask = elements.length - 1;
        int i = head;
        Object x;
        while ( (x = elements[i]) != null) {
            if (o.equals(x))
                return true;
            i = (i + 1) & mask;
        }
        return false;
    }

    
Removes a single instance of the specified element from this deque. If the deque does not contain the element, it is unchanged. More formally, removes the first element e such that o.equals(e) (if such an element exists). Returns true if this deque contained the specified element (or equivalently, if this deque changed as a result of the call). 
This method is equivalent to removeFirstOccurrence(Object). 
Params:
o – element to be removed from this deque, if present
Returns:
true if this deque contained the specified element/**
     * Removes a single instance of the specified element from this deque.
     * If the deque does not contain the element, it is unchanged.
     * More formally, removes the first element {@code e} such that
     * {@code o.equals(e)} (if such an element exists).
     * Returns {@code true} if this deque contained the specified element
     * (or equivalently, if this deque changed as a result of the call).
     *
     * <p>This method is equivalent to {@link #removeFirstOccurrence(Object)}.
     *
     * @param o element to be removed from this deque, if present
     * @return {@code true} if this deque contained the specified element
     */
    public boolean remove(Object o) {
        return removeFirstOccurrence(o);
    }

    
Removes all of the elements from this deque.
The deque will be empty after this call returns.
/**
     * Removes all of the elements from this deque.
     * The deque will be empty after this call returns.
     */
    public void clear() {
        int h = head;
        int t = tail;
        if (h != t) { // clear all cells
            head = tail = 0;
            int i = h;
            int mask = elements.length - 1;
            do {
                elements[i] = null;
                i = (i + 1) & mask;
            } while (i != t);
        }
    }

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

    
Returns an array containing all of the elements in this deque in
proper sequence (from first to last element); the runtime type of the
returned array is that of the specified array.  If the deque 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 deque.
If this deque fits in the specified array with room to spare (i.e., the array has more elements than this deque), the element in the array immediately following the end of the deque is set to null. 
Like the 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. 
Suppose x is a deque known to contain only strings. The following code can be used to dump the deque into a newly allocated array of String: 
 String[] y = x.toArray(new String[0]);
 Note that toArray(new Object[0]) is identical in function to toArray(). 
Params:
a – the array into which the elements of the deque are to
         be stored, if it is big enough; otherwise, a new array of the
         same runtime type is allocated for this purpose
Throws:
ArrayStoreException – if the runtime type of the specified array
        is not a supertype of the runtime type of every element in
        this deque
NullPointerException – if the specified array is null
Returns:
an array containing all of the elements in this deque/**
     * Returns an array containing all of the elements in this deque in
     * proper sequence (from first to last element); the runtime type of the
     * returned array is that of the specified array.  If the deque 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 deque.
     *
     * <p>If this deque fits in the specified array with room to spare
     * (i.e., the array has more elements than this deque), the element in
     * the array immediately following the end of the deque 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 {@code x} is a deque known to contain only strings.
     * The following code can be used to dump the deque into a newly
     * allocated array of {@code String}:
     *
     *  <pre> {@code String[] y = x.toArray(new String[0]);}</pre>
     *
     * Note that {@code toArray(new Object[0])} is identical in function to
     * {@code toArray()}.
     *
     * @param a the array into which the elements of the deque 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 deque
     * @throws ArrayStoreException if the runtime type of the specified array
     *         is not a supertype of the runtime type of every element in
     *         this deque
     * @throws NullPointerException if the specified array is null
     */
    @SuppressWarnings("unchecked")
    public <T> T[] toArray(T[] a) {
        int size = size();
        if (a.length < size)
            a = (T[])java.lang.reflect.Array.newInstance(
                    a.getClass().getComponentType(), size);
        copyElements(a);
        if (a.length > size)
            a[size] = null;
        return a;
    }

    // *** Object methods ***

    
Returns a copy of this deque.
Returns:
a copy of this deque/**
     * Returns a copy of this deque.
     *
     * @return a copy of this deque
     */
    public ArrayDeque<E> clone() {
        try {
            @SuppressWarnings("unchecked")
            ArrayDeque<E> result = (ArrayDeque<E>) super.clone();
            result.elements = Arrays.copyOf(elements, elements.length);
            return result;
        } catch (CloneNotSupportedException e) {
            throw new AssertionError();
        }
    }

    private static final long serialVersionUID = 2340985798034038923L;

    
Saves this deque to a stream (that is, serializes it).
@serialData
The current size (int) of the deque, followed by all of its elements (each an object reference) in first-to-last order./**
     * Saves this deque to a stream (that is, serializes it).
     *
     * @serialData The current size ({@code int}) of the deque,
     * followed by all of its elements (each an object reference) in
     * first-to-last order.
     */
    private void writeObject(java.io.ObjectOutputStream s)
            throws java.io.IOException {
        s.defaultWriteObject();

        // Write out size
        s.writeInt(size());

        // Write out elements in order.
        int mask = elements.length - 1;
        for (int i = head; i != tail; i = (i + 1) & mask)
            s.writeObject(elements[i]);
    }

    
Reconstitutes this deque from a stream (that is, deserializes it).
/**
     * Reconstitutes this deque from a stream (that is, deserializes it).
     */
    private void readObject(java.io.ObjectInputStream s)
            throws java.io.IOException, ClassNotFoundException {
        s.defaultReadObject();

        // Read in size and allocate array
        int size = s.readInt();
        int capacity = calculateSize(size);
        SharedSecrets.getJavaOISAccess().checkArray(s, Object[].class, capacity);
        allocateElements(size);
        head = 0;
        tail = size;

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

    
Creates a late-binding
and fail-fast Spliterator over the elements in this deque. 
The Spliterator reports Spliterator.SIZED, Spliterator.SUBSIZED, Spliterator.ORDERED, and Spliterator.NONNULL. Overriding implementations should document the reporting of additional characteristic values. 
Returns:
a Spliterator over the elements in this deque
Since:
1.8/**
     * Creates a <em><a href="Spliterator.html#binding">late-binding</a></em>
     * and <em>fail-fast</em> {@link Spliterator} over the elements in this
     * deque.
     *
     * <p>The {@code Spliterator} reports {@link Spliterator#SIZED},
     * {@link Spliterator#SUBSIZED}, {@link Spliterator#ORDERED}, and
     * {@link Spliterator#NONNULL}.  Overriding implementations should document
     * the reporting of additional characteristic values.
     *
     * @return a {@code Spliterator} over the elements in this deque
     * @since 1.8
     */
    public Spliterator<E> spliterator() {
        return new DeqSpliterator<E>(this, -1, -1);
    }

    static final class DeqSpliterator<E> implements Spliterator<E> {
        private final ArrayDeque<E> deq;
        private int fence;  // -1 until first use
        private int index;  // current index, modified on traverse/split

        
Creates new spliterator covering the given array and range /** Creates new spliterator covering the given array and range */
        DeqSpliterator(ArrayDeque<E> deq, int origin, int fence) {
            this.deq = deq;
            this.index = origin;
            this.fence = fence;
        }

        private int getFence() { // force initialization
            int t;
            if ((t = fence) < 0) {
                t = fence = deq.tail;
                index = deq.head;
            }
            return t;
        }

        public DeqSpliterator<E> trySplit() {
            int t = getFence(), h = index, n = deq.elements.length;
            if (h != t && ((h + 1) & (n - 1)) != t) {
                if (h > t)
                    t += n;
                int m = ((h + t) >>> 1) & (n - 1);
                return new DeqSpliterator<>(deq, h, index = m);
            }
            return null;
        }

        public void forEachRemaining(Consumer<? super E> consumer) {
            if (consumer == null)
                throw new NullPointerException();
            Object[] a = deq.elements;
            int m = a.length - 1, f = getFence(), i = index;
            index = f;
            while (i != f) {
                @SuppressWarnings("unchecked") E e = (E)a[i];
                i = (i + 1) & m;
                if (e == null)
                    throw new ConcurrentModificationException();
                consumer.accept(e);
            }
        }

        public boolean tryAdvance(Consumer<? super E> consumer) {
            if (consumer == null)
                throw new NullPointerException();
            Object[] a = deq.elements;
            int m = a.length - 1, f = getFence(), i = index;
            if (i != fence) {
                @SuppressWarnings("unchecked") E e = (E)a[i];
                index = (i + 1) & m;
                if (e == null)
                    throw new ConcurrentModificationException();
                consumer.accept(e);
                return true;
            }
            return false;
        }

        public long estimateSize() {
            int n = getFence() - index;
            if (n < 0)
                n += deq.elements.length;
            return (long) n;
        }

        @Override
        public int characteristics() {
            return Spliterator.ORDERED | Spliterator.SIZED |
                Spliterator.NONNULL | Spliterator.SUBSIZED;
        }
    }

}