// decrement until it's <= the true value
    while (StrictMath.pow(2.0, trueLog2) > d) {
      trueLog2 = StrictMath.nextAfter(trueLog2, Double.NEGATIVE_INFINITY);
    }
    if (StrictMath.abs(StrictMath.pow(2.0, trueLog2) - d)
        > StrictMath.abs(StrictMath.pow(2.0, StrictMath.nextUp(trueLog2)) - d)) {
      trueLog2 = StrictMath.nextUp(trueLog2);
    }
    return trueLog2;
  }

    // decrement until it's <= the true value
    while (StrictMath.pow(2.0, trueLog2) > d) {
      trueLog2 = StrictMath.nextAfter(trueLog2, Double.NEGATIVE_INFINITY);
    }
    if (StrictMath.abs(StrictMath.pow(2.0, trueLog2) - d)
        > StrictMath.abs(StrictMath.pow(2.0, StrictMath.nextUp(trueLog2)) - d)) {
      trueLog2 = StrictMath.nextUp(trueLog2);
    }
    return trueLog2;
  }

        break;
      case HALF_EVEN:
      case HALF_DOWN:
      case HALF_UP:
        long absRem = abs(rem);
        long cmpRemToHalfDivisor = absRem - (abs(q) - absRem);
        // subtracting two nonnegative longs can't overflow
        // cmpRemToHalfDivisor has the same sign as compare(abs(rem), abs(q) / 2).
        if (cmpRemToHalfDivisor == 0) { // exactly on the half mark

		// /mnt/export1. So we go ahead and start the minio server in FS modes in these cases.
		if isHostIP(arg) {
			return ep, fmt.Errorf("invalid URL endpoint format: missing scheme http or https")
		}
		absArg, err := filepath.Abs(arg)
		if err != nil {
			return Endpoint{}, fmt.Errorf("absolute path failed %s", err)
		}
		u = &url.URL{Path: path.Clean(absArg)}
		isLocal = true
	}

	return Endpoint{
		URL:     u,

}

// getModTime - get the file modification time of `path`
func getModTime(path string) (t time.Time, err error) {
	// Convert to absolute path
	absPath, err := filepath.Abs(path)
	if err != nil {
		return t, fmt.Errorf("Unable to get absolute path of %s. %w", path, err)
	}

	// Version is minio non-standard, we will use minio binary's
	// ModTime as release time.

	case opEq:
		return left == right
	case opIneq:
		return left != right
	}
	// This case does not happen
	return false
}

func floatCompare(op string, left, right float64) bool {
	diff := math.Abs(left - right)
	switch op {
	case opLt:
		return left < right
	case opLte:
		return left <= right
	case opGt:
		return left > right
	case opGte:
		return left >= right
	case opEq:

		return true
	}

	pfi := float64(poolStats.InitFreeSpace+poolStats.Bytes) / float64(poolStats.InitCapacity)
	// Mark pool rebalance as done if within 5% from PercentFreeGoal.
	if diff := math.Abs(pfi - r.PercentFreeGoal); diff <= 0.05 {
		r.PoolStats[poolIdx].Info.Status = rebalCompleted
		r.PoolStats[poolIdx].Info.EndTime = time.Now()
		return true
	}

	return false
}

}

func getValidPath(path string) (string, error) {
	if path == "" {
		return path, errInvalidArgument
	}

	var err error
	// Disallow relative paths, figure out absolute paths.
	path, err = filepath.Abs(path)
	if err != nil {
		return path, err
	}

	fi, err := Lstat(path)
	if err != nil && !osIsNotExist(err) {
		return path, err
	}
	if osIsNotExist(err) {
		// Disk not found create it.

    <glob pattern="INSTALL"/>
    <glob pattern="KEYS"/>
    <glob pattern="LICENSE"/>
    <glob pattern="NOTICE"/>
    <glob pattern="README"/>
    <glob pattern="abs-linkmap"/>
    <glob pattern="abs-menulinks"/>
    <glob pattern="*.aart"/>
    <glob pattern="*.ac"/>
    <glob pattern="*.am"/>
    <glob pattern="*.apt"/>
    <glob pattern="*.bsh"/>
    <glob pattern="*.classpath"/>