* traverse. When nodes would otherwise be changed, new nodes are created to replace them. This
     * works well for hash tables since the bin lists tend to be short. (The average length is less
     * than two.)
     *
     * Read operations can thus proceed without locking, but rely on selected uses of volatiles to
     * ensure that completed write operations performed by other threads are noticed. For most

   * until a nonzero result is found; imposes "dictionary order." If the end of one iterable is
   * reached, but not the other, the shorter iterable is considered to be less than the longer one.
   * For example, a lexicographical natural ordering over integers considers {@code [] < [1] < [1,
   * 1] < [1, 2] < [2]}.
   *

   * The new array contains nulls, even if the old array did not. If we wanted to be accurate, we
   * would declare a return type of `@Nullable T[]`. However, we've decided not to think too hard
   * about arrays for now, as they're a mess. (We previously discussed this in the review of
   * ObjectArrays, which is the main caller of this method.)
   */
  static <T extends @Nullable Object> T[] newArray(T[] reference, int length) {

   * @return the {@code char} value that equals {@code value}
   * @throws IllegalArgumentException if {@code value} is greater than {@link Character#MAX_VALUE}
   *     or less than {@link Character#MIN_VALUE}
   */
  public static char checkedCast(long value) {
    char result = (char) value;
    checkArgument(result == value, "Out of range: %s", value);
    return result;
  }

  /**

   * to the JDK until JDK 7.
   *
   * @param a the first {@code double} to compare
   * @param b the second {@code double} to compare
   * @return a negative value if {@code a} is less than {@code b}; a positive value if {@code a} is
   *     greater than {@code b}; or zero if they are equal
   */
  public static int compare(double a, double b) {
    return Double.compare(a, b);
  }

  /**

   * @param value any value in the range of the {@code int} type
   * @return the {@code int} value that equals {@code value}
   * @throws IllegalArgumentException if {@code value} is greater than {@link Integer#MAX_VALUE} or
   *     less than {@link Integer#MIN_VALUE}
   */
  public static int checkedCast(long value) {
    int result = (int) value;
    checkArgument(result == value, "Out of range: %s", value);
    return result;
  }

  /**

 * amortized since some operations can trigger a hash table resize.
 *
 * <p>This implementation consumes significantly less memory than {@code java.util.LinkedHashSet} or
 * even {@code java.util.HashSet}, and places considerably less load on the garbage collector. Like
 * {@code java.util.LinkedHashSet}, it offers insertion-order iteration, with identical behavior.
 *

    return (Ordering<@Nullable S>) result;
  }

  @Override
  public <S extends Comparable<?>> Ordering<S> reverse() {
    return (Ordering<S>) ReverseNaturalOrdering.INSTANCE;
  }

  // preserving singleton-ness gives equals()/hashCode() for free
  private Object readResolve() {
    return INSTANCE;
  }

  @Override
  public String toString() {
    return "Ordering.natural()";
  }

  private NaturalOrdering() {}

 * a {@link RoundingMode}.
 */
@GwtIncompatible
@ElementTypesAreNonnullByDefault
abstract class ToDoubleRounder<X extends Number & Comparable<X>> {
  /**
   * Returns x rounded to either the greatest double less than or equal to the precise value of x,
   * or the least double greater than or equal to the precise value of x.
   */
  abstract double roundToDoubleArbitrarily(X x);

  /** Returns the sign of x: either -1, 0, or 1. */

    return new LinkedBlockingDeque<>();
  }

  /**
   * Creates an empty {@code LinkedBlockingDeque} with the given (fixed) capacity.
   *
   * @throws IllegalArgumentException if {@code capacity} is less than 1
   * @since 12.0
   */
  @J2ktIncompatible
  @GwtIncompatible // LinkedBlockingDeque
  public static <E> LinkedBlockingDeque<E> newLinkedBlockingDeque(int capacity) {