* minimum hashtable size, whichever is greater.
   */
  static int tableSize(int expectedSize) {
    // We use entries next == 0 to indicate UNSET, so actual capacity is 1 less than requested.
    return max(MIN_HASH_TABLE_SIZE, Hashing.closedTableSize(expectedSize + 1, 1.0));
  }

  /** Creates and returns a properly-sized array with the given number of buckets. */

   */
  public static boolean isUpperCase(char c) {
    return (c >= 'A') && (c <= 'Z');
  }

  /**
   * Truncates the given character sequence to the given maximum length. If the length of the
   * sequence is greater than {@code maxLength}, the returned string will be exactly {@code
   * maxLength} chars in length and will end with the given {@code truncationIndicator}. Otherwise,

            Cell r = new Cell(x); // Optimistically create
            if (busy == 0 && casBusy()) {
              boolean created = false;
              try { // Recheck under lock
                Cell[] rs;
                int m, j;
                if ((rs = cells) != null && (m = rs.length) > 0 && rs[j = (m - 1) & h] == null) {
                  rs[j] = r;
                  created = true;
                }
              } finally {

   *
   * <p><b>Note:</b> this method is now unnecessary and should be treated as deprecated; use the
   * equivalent {@link Long#compare} method instead.
   *
   * @param a the first {@code long} to compare
   * @param b the second {@code long} 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
   */

   *
   * <p><b>Note:</b> this method is now unnecessary and should be treated as deprecated; use the
   * equivalent {@link Long#compare} method instead.
   *
   * @param a the first {@code long} to compare
   * @param b the second {@code long} 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
   */

   *
   * @param duration the length of time after an entry is created that it should be automatically
   *     removed
   * @return this {@code CacheBuilder} instance (for chaining)
   * @throws IllegalArgumentException if {@code duration} is negative
   * @throws IllegalStateException if {@link #expireAfterWrite} was already set
   * @throws ArithmeticException for durations greater than +/- approximately 292 years

    assertEquals("BigInteger must be greater than or equal to 0", expected.getMessage());
  }

  public void testFromIpv6BigIntegerThrowsLessThanZero() {
    IllegalArgumentException expected =
        assertThrows(
            IllegalArgumentException.class,
            () -> InetAddresses.fromIPv6BigInteger(BigInteger.valueOf(-1L)));
    assertEquals("BigInteger must be greater than or equal to 0", expected.getMessage());
  }

  /**
   * Returns a new {@link ByteArrayDataInput} instance to read from the {@code bytes} array,
   * starting at the given position.
   *
   * @throws IndexOutOfBoundsException if {@code start} is negative or greater than the length of
   *     the array
   */
  public static ByteArrayDataInput newDataInput(byte[] bytes, int start) {
    checkPositionIndex(start, bytes.length);

   * variance</a> of the values. If this dataset is a sample drawn from a population, this is an
   * unbiased estimator of the population variance of the population. The count must be greater than
   * one.
   *
   * <p>This is not guaranteed to return zero when the dataset consists of the same value multiple
   * times, due to numerical errors. However, it is guaranteed never to return a negative result.

 *
 * @author Louis Wasserman
 * @since 11.0
 */
@GwtCompatible(emulated = true)
@ElementTypesAreNonnullByDefault
public final class BigIntegerMath {
  /**
   * Returns the smallest power of two greater than or equal to {@code x}. This is equivalent to
   * {@code BigInteger.valueOf(2).pow(log2(x, CEILING))}.
   *
   * @throws IllegalArgumentException if {@code x <= 0}
   * @since 20.0
   */