* primitive utilities</a>.
 *
 * @author Louis Wasserman
 * @author Brian Milch
 * @author Colin Evans
 * @since 10.0
 */
@GwtCompatible
@ElementTypesAreNonnullByDefault
public final class UnsignedLongs {
  private UnsignedLongs() {}

  public static final long MAX_VALUE = -1L; // Equivalent to 2^64 - 1

  /**
   * A (self-inverse) bijection which converts the ordering on unsigned longs to the ordering on

    TEST_BIG_INTEGERS = testBigIntegersBuilder.build();
  }

  public void testAsUnsignedAndLongValueAreInverses() {
    for (long value : TEST_LONGS) {
      assertWithMessage(UnsignedLongs.toString(value))
          .that(UnsignedLong.fromLongBits(value).longValue())
          .isEqualTo(value);
    }
  }

  public void testAsUnsignedBigIntegerValue() {
    for (long value : TEST_LONGS) {

    TEST_BIG_INTEGERS = testBigIntegersBuilder.build();
  }

  public void testAsUnsignedAndLongValueAreInverses() {
    for (long value : TEST_LONGS) {
      assertWithMessage(UnsignedLongs.toString(value))
          .that(UnsignedLong.fromLongBits(value).longValue())
          .isEqualTo(value);
    }
  }

  public void testAsUnsignedBigIntegerValue() {
    for (long value : TEST_LONGS) {

        if (result < 0) {
          result = UnsignedLongs.remainder(result, m);
        }
        // result < 2^63 again
        result += aLo * bHi; // aLo * bHi < 2^63, result < 2^64
        result = times2ToThe32Mod(result, m); // result < m < 2^63
        return plusMod(result, UnsignedLongs.remainder(aLo * bLo /* < 2^64 */, m), m);
      }

      @Override

        if (result < 0) {
          result = UnsignedLongs.remainder(result, m);
        }
        // result < 2^63 again
        result += aLo * bHi; // aLo * bHi < 2^63, result < 2^64
        result = times2ToThe32Mod(result, m); // result < m < 2^63
        return plusMod(result, UnsignedLongs.remainder(aLo * bLo /* < 2^64 */, m), m);
      }

      @Override

   * means {@link HashCode#asLong} is guaranteed to return the same value that
   * farmhash::Fingerprint64() would for the same input (when compared using {@link
   * com.google.common.primitives.UnsignedLongs}'s encoding of 64-bit unsigned numbers).
   *
   * <p>This function is best understood as a <a
   * href="https://en.wikipedia.org/wiki/Fingerprint_(computing)">fingerprint</a> rather than a true