*
   * @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

            // If we can't parse it, assume it's not newer
            return false;
        }

        return false;
    }

    /**
     * Checks if a model version is greater than or equal to a target version.
     *
     * @param modelVersion the model version to check
     * @param targetVersion the target version to compare against
     * @return true if modelVersion >= targetVersion

   * 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. */

   *
   * <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
   */

   * 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.

					"abcd",
				},
				// Date
				queryTime,
				// Expires.
				100 * time.Second,
			},
			expectedErrCode: ErrNone,
		},

		// Test case - 9.
		// Test case with value greater than 604800 in X-Amz-Expires header.
		{
			inputQueryKeyVals: []string{
				// valid  "X-Amz-Algorithm" header.
				"X-Amz-Algorithm", signV4Algorithm,
				// valid  "X-Amz-Credential" header.

            }
            if (size >= 0L && progressedSize > size) {
                throw new IllegalArgumentException(
                        "progressed file size cannot be greater than size: " + progressedSize + " > " + size);
            }

            if (size >= 0L && progressedSize != size) {
                ScaleUnit unit = ScaleUnit.getScaleUnit(size);

        return allRecordCount;
    }

    /**
     * Gets the relation type for the total record count.
     *
     * @return the relation type (e.g., "eq" for exact count, "gte" for greater than or equal)
     */
    public String getAllRecordCountRelation() {
        return allRecordCountRelation;
    }

    /**
     * Gets the total number of pages based on the page size and total record count.

 * {@link LongMath} respectively.
 *
 * @author Louis Wasserman
 * @since 11.0
 */
@GwtCompatible
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
   */

  /**
   * 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
   */
  @J2ktIncompatible
  public static ByteArrayDataInput newDataInput(byte[] bytes, int start) {
    checkPositionIndex(start, bytes.length);