int logFloor = x.bitLength() - 1;
    switch (mode) {
      case UNNECESSARY:
        checkRoundingUnnecessary(isPowerOfTwo(x)); // fall through
      case DOWN:
      case FLOOR:
        return logFloor;

      case UP:
      case CEILING:
        return isPowerOfTwo(x) ? logFloor : logFloor + 1;

      case HALF_DOWN:
      case HALF_UP:
      case HALF_EVEN:
        if (logFloor < SQRT2_PRECOMPUTE_THRESHOLD) {

	switch v := value.(type) {
	case string:
		return v
	case int:
		return strconv.FormatInt(int64(v), 10)
	case int8:
		return strconv.FormatInt(int64(v), 10)
	case int16:
		return strconv.FormatInt(int64(v), 10)
	case int32:
		return strconv.FormatInt(int64(v), 10)
	case int64:
		return strconv.FormatInt(v, 10)
	case uint:
		return strconv.FormatUint(uint64(v), 10)
	case uint8:

      switch (mode) {
        case DOWN:
        case HALF_EVEN:
        case HALF_DOWN:
        case HALF_UP:
          return Double.MAX_VALUE * sign(x);
        case FLOOR:
          return (roundArbitrarily == Double.POSITIVE_INFINITY)
              ? Double.MAX_VALUE
              : Double.NEGATIVE_INFINITY;
        case CEILING:
          return (roundArbitrarily == Double.POSITIVE_INFINITY)

    boolean increment;
    switch (mode) {
      case UNNECESSARY:
        checkRoundingUnnecessary(isPowerOfTwo(x));
        // fall through
      case FLOOR:
        increment = false;
        break;
      case CEILING:
        increment = !isPowerOfTwo(x);
        break;
      case DOWN:
        increment = exponent < 0 & !isPowerOfTwo(x);
        break;
      case UP:

	case ObjectAccessedHead:
		return "s3:ObjectAccessed:Head"
	case ObjectAccessedAttributes:
		return "s3:ObjectAccessed:Attributes"
	case ObjectCreatedAll:
		return "s3:ObjectCreated:*"
	case ObjectCreatedCompleteMultipartUpload:
		return "s3:ObjectCreated:CompleteMultipartUpload"
	case ObjectCreatedCopy:
		return "s3:ObjectCreated:Copy"
	case ObjectCreatedPost:
		return "s3:ObjectCreated:Post"
	case ObjectCreatedPut:

	case BucketAlreadyExists:
		apiErr = ErrBucketAlreadyExists
	case BucketExists:
		apiErr = ErrBucketAlreadyOwnedByYou
	case ObjectNotFound:
		apiErr = ErrNoSuchKey
	case MethodNotAllowed:
		apiErr = ErrMethodNotAllowed
	case ObjectLocked:
		apiErr = ErrObjectLocked
	case InvalidVersionID:
		apiErr = ErrInvalidVersionID
	case VersionNotFound:
		apiErr = ErrNoSuchVersion

			s = "ideal-char"
		case types.UntypedFloat:
			s = "ideal-float"
		case types.UntypedComplex:
			s = "ideal-complex"
		case types.UntypedString:
			s = "ideal-string"
		case types.UntypedNil:
			panic("should never see untyped nil type")
		default:
			switch s {
			case "byte":
				s = "uint8"
			case "rune":
				s = "int32"
			}
		}
		buf.WriteString(s)

	case *types.Array:

	switch strings.ToUpper(alg) {
	case "CRC32":
		return ChecksumCRC32
	case "CRC32C":
		return ChecksumCRC32C
	case "SHA1":
		return ChecksumSHA1
	case "SHA256":
		return ChecksumSHA256
	case "":
		return ChecksumNone
	}
	return ChecksumInvalid
}

// String returns the type as a string.
func (c ChecksumType) String() string {
	switch {
	case c.Is(ChecksumCRC32):
		return "CRC32"

    switch (mode) {
      case UNNECESSARY:
        checkRoundingUnnecessary(x == floorPow);
        // fall through
      case FLOOR:
      case DOWN:
        return logFloor;
      case CEILING:
      case UP:
        return logFloor + lessThanBranchFree(floorPow, x);
      case HALF_DOWN:
      case HALF_UP:
      case HALF_EVEN:

		switch {
		case isSysErrNotDir(err) && !osIsNotExist(err):
			// Windows can have both isSysErrNotDir(err) and osIsNotExist(err) returning
			// true if the source file path contains an non-existent directory. In that case,
			// we want to return errFileNotFound instead, which will honored in subsequent
			// switch cases
			return errFileAccessDenied
		case isSysErrPathNotFound(err):