// Avoid delegating to this(long[]), since AtomicLongArray(long[]) will clone its input and
      // thus double memory usage.
      this.data =
          new AtomicLongArray(Ints.checkedCast(LongMath.divide(bits, 64, RoundingMode.CEILING)));
      this.bitCount = LongAddables.create();
    }

    // Used by serialization
    LockFreeBitArray(long[] data) {
      checkArgument(data.length > 0, "data length is zero!");

  public static int divide(int dividend, int divisor) {
    return (int) (toLong(dividend) / toLong(divisor));
  }

  /**
   * Returns dividend % divisor, where the dividend and divisor are treated as unsigned 32-bit
   * quantities.
   *
   * <p><b>Java 8+ users:</b> use {@link Integer#remainderUnsigned(int, int)} instead.
   *
   * @param dividend the dividend (numerator)
   * @param divisor the divisor (denominator)

  public static int divide(int dividend, int divisor) {
    return (int) (toLong(dividend) / toLong(divisor));
  }

  /**
   * Returns dividend % divisor, where the dividend and divisor are treated as unsigned 32-bit
   * quantities.
   *
   * <p><b>Java 8+ users:</b> use {@link Integer#remainderUnsigned(int, int)} instead.
   *
   * @param dividend the dividend (numerator)
   * @param divisor the divisor (denominator)

		return false
	}
	return fi1.Size() == fi2.Size()
}

// DirectioAlignSize - DirectIO alignment needs to be 4K. Defined here as
// directio.AlignSize is defined as 0 in MacOS causing divide by 0 error.
const DirectioAlignSize = 4096

// CopyAligned - copies from reader to writer using the aligned input
// buffer, it is expected that input buffer is page aligned to

	b = append(b, crc...)
	if c.Type.Is(ChecksumMultipart) {
		var checksums int
		if c.WantParts > 0 && !c.Type.Is(ChecksumIncludesMultipart) {
			checksums = c.WantParts
		}
		// Ensure we don't divide by 0:
		if c.Type.RawByteLen() == 0 || len(parts)%c.Type.RawByteLen() != 0 {
			hashLogIf(context.Background(), fmt.Errorf("internal error: Unexpected checksum length: %d, each checksum %d", len(parts), c.Type.RawByteLen()))

      // non-negative int, we can do long-arithmetic on index * (dataset.length - 1) / scale to get
      // a rounded ratio and a remainder which can be expressed as ints, without risk of overflow:
      int quotient = (int) LongMath.divide(numerator, scale, RoundingMode.DOWN);
      int remainder = (int) (numerator - (long) quotient * scale);
      selectInPlace(quotient, dataset, 0, dataset.length - 1);
      if (remainder == 0) {

  public void testBitSize() {
    double fpp = 0.03;
    for (int i = 1; i < 10000; i++) {
      long numBits = BloomFilter.optimalNumOfBits(i, fpp);
      int arraySize = Ints.checkedCast(LongMath.divide(numBits, 64, RoundingMode.CEILING));
      assertEquals(
          arraySize * Long.SIZE,
          BloomFilter.create(Funnels.unencodedCharsFunnel(), i, fpp).bitSize());
    }
  }

	switch op {
	case opPlus:
	case opMinus:
	case opDivide:
	case opMultiply:
	case opModulo:
	default:
		return false
	}
	return true
}

// Overflow errors are ignored.
func intArithOp(op string, left, right int64) (int64, error) {
	switch op {
	case opPlus:
		return left + right, nil
	case opMinus:
		return left - right, nil
	case opDivide:
		if right == 0 {
			return 0, errArithDivideByZero

	oldCache    dataUsageCache
	newCache    dataUsageCache
	updateCache dataUsageCache

	dataUsageScannerDebug bool
	healObjectSelect      uint32 // Do a heal check on an object once every n cycles. Must divide into healFolderInclude
	scanMode              madmin.HealScanMode

	weSleep    func() bool
	shouldHeal func() bool

	disks       []StorageAPI
	disksQuorum int

   * yield an empty iterable, but an iterable containing {@code ""}. This is the only case in which
   * {@code Iterables.size(split(input))} does not equal {@code IntMath.divide(input.length(),
   * length, CEILING)}. To avoid this behavior, use {@code omitEmptyStrings}.
   *
   * @param length the desired length of pieces after splitting, a positive integer