public static boolean isPowerOfTwo(BigInteger x) {
    checkNotNull(x);
    return x.signum() > 0 && x.getLowestSetBit() == x.bitLength() - 1;
  }

  /**
   * Returns the base-2 logarithm of {@code x}, rounded according to the specified rounding mode.
   *
   * @throws IllegalArgumentException if {@code x <= 0}
   * @throws ArithmeticException if {@code mode} is {@link RoundingMode#UNNECESSARY} and {@code x}

      int x = 1 << exponent;
      intValues.add(x, x + 1, x - 1);
    }
    intValues.add(9999).add(10000).add(10001).add(1000000); // near powers of 10
    intValues.add(5792).add(5793); // sqrt(2^25) rounded up and down
    POSITIVE_INTEGER_CANDIDATES = intValues.build();
    NEGATIVE_INTEGER_CANDIDATES =
        ImmutableList.copyOf(
            Iterables.concat(

// with that many fractional digits is exact or rounded.
//
// Examples:
//
//	x      n    exact    decimal representation n fractional digits
//	0      0    true     0
//	1      0    true     1
//	1/2    1    true     0.5
//	1/3    0    false    0       (0.333... rounded)
//	1/4    2    true     0.25
//	1/6    1    false    0.2     (0.166... rounded)
func (x *Rat) FloatPrec() (n int, exact bool) {

		return false
	}
	if df.Cmp(df0) == 0 && !isEven32(f) {
		t.Errorf("Rat(%v).Float32() = %g (%b); halfway should have rounded to %g (%b) instead", r, f, f, f0, f0)
		return false
	}
	if df.Cmp(df1) == 0 && !isEven32(f) {
		t.Errorf("Rat(%v).Float32() = %g (%b); halfway should have rounded to %g (%b) instead", r, f, f, f1, f1)
		return false
	}
	return true
}

    // to make sure bit twiddling works as expected.
    return ~~(x - y) >>> (Integer.SIZE - 1);
  }

  /**
   * Returns the base-2 logarithm of {@code x}, rounded according to the specified rounding mode.
   *
   * @throws IllegalArgumentException if {@code x <= 0}
   * @throws ArithmeticException if {@code mode} is {@link RoundingMode#UNNECESSARY} and {@code x}

  public static boolean isPowerOfTwo(BigInteger x) {
    checkNotNull(x);
    return x.signum() > 0 && x.getLowestSetBit() == x.bitLength() - 1;
  }

  /**
   * Returns the base-2 logarithm of {@code x}, rounded according to the specified rounding mode.
   *
   * @throws IllegalArgumentException if {@code x <= 0}
   * @throws ArithmeticException if {@code mode} is {@link RoundingMode#UNNECESSARY} and {@code x}

		VolumeContext: req.GetVolumeContext(),
	}

	fsType := ""
	fsTypes := "block|ext4|xfs|zfs"
	mounted := req.GetVolumeCapability().GetMount()
	if mounted != nil {
		fsType = mounted.GetFsType()
		csiVol.MountFlags = mounted.GetMountFlags()
		csiVol.VolumeMountGroup = mounted.VolumeMountGroup
	}
	if !strings.Contains(fsTypes, fsType) {
		return nil, errors.New("invalid fstype")
	}

// Three common cases:
//
//	value is exact integer
//	value is exact integer * exact power of ten
//	value is exact integer / exact power of ten
//
// These all produce potentially inexact but correctly rounded answers.
func atof64exact(mantissa uint64, exp int, neg bool) (f float64, ok bool) {
	if mantissa>>float64info.mantbits != 0 {
		return
	}
	f = float64(mantissa)
	if neg {
		f = -f
	}
	switch {

        assertEquals(TaskOutcome.FAILED, result.task(":failed-test-with-leftover:test")!!.outcome)

        // leftover files failed tests are reported but not counted as an exception, but cleaned up eventually
        assertEquals(1, StringUtils.countMatches(result.output, "Found non-empty test files dir"))

		mock.HelloService.Hostname: false,
		mock.WorldService.Hostname: false,
	}

	count := 0
	// Compare return value to ground truth
	for _, svc := range services {
		if counted, existed := hosts[svc.Hostname]; existed && !counted {
			count++
			hosts[svc.Hostname] = true
		}
	}

	if count != len(hosts) {
		t.Fatalf("Cluster local service map expected size %d, actual %v vs %v", count, hosts, services)
	}