denom = big.NewInt(1)
	ten   = big.NewInt(10)
)

func extractDigit() int64 {
	if big.CmpInt(numer, accum) > 0 {
		return -1
	}
	tmp1.Lsh(numer, 1).Add(tmp1, numer).Add(tmp1, accum)
	big.DivModInt(tmp1, tmp2, tmp1, denom)
	tmp2.Add(tmp2, numer)
	if big.CmpInt(tmp2, denom) >= 0 {
		return -1
	}
	return tmp1.Int64()
}

func nextTerm(k int64) {
	y2 := k*2 + 1
	accum.Add(accum, tmp1.Lsh(numer, 1))

	client       *storage.Client
	Bucket       string
	Prefix       string
	StorageClass string
}

func (gcs *warmBackendGCS) getDest(object string) string {
	destObj := object
	if gcs.Prefix != "" {
		destObj = fmt.Sprintf("%s/%s", gcs.Prefix, object)
	}
	return destObj
}

		default: // in case the channel is blocked...
		}
	}
}

func (t *apiConfig) odirectEnabled() bool {
	t.mu.RLock()
	defer t.mu.RUnlock()

	return t.enableODirect
}

func (t *apiConfig) shouldGzipObjects() bool {
	t.mu.RLock()
	defer t.mu.RUnlock()

	return t.gzipObjects
}

func (t *apiConfig) permitRootAccess() bool {
	t.mu.RLock()
	defer t.mu.RUnlock()

)

func (x xlMetaV2) listFreeVersions(volume, path string) ([]FileInfo, error) {
	fivs, err := x.ListVersions(volume, path, true)
	if err != nil {
		return nil, err
	}
	n := 0
	for _, fiv := range fivs {
		if fiv.TierFreeVersion() {
			fivs[n] = fiv
			n++
		}
	}
	fivs = fivs[:n]
	return fivs, nil
}

func TestFreeVersion(t *testing.T) {

}

func sshPubKeyAuth(c ssh.ConnMetadata, key ssh.PublicKey) (*ssh.Permissions, error) {
	return authenticateSSHConnection(c, key, nil)
}

func sshPasswordAuth(c ssh.ConnMetadata, pass []byte) (*ssh.Permissions, error) {
	return authenticateSSHConnection(c, nil, pass)
}

	})

	return nil
}

func (DummyDialector) DefaultValueOf(field *schema.Field) clause.Expression {
	return clause.Expr{SQL: "DEFAULT"}
}

func (DummyDialector) Migrator(*gorm.DB) gorm.Migrator {
	return nil
}

func (DummyDialector) BindVarTo(writer clause.Writer, stmt *gorm.Statement, v interface{}) {
	writer.WriteByte('?')
}

func (DummyDialector) QuoteTo(writer clause.Writer, str string) {

	return func() error {
		// NOTE: Healing on meta is run regardless
		// of any bucket being selected, this is to ensure that
		// meta are always upto date and correct.
		h.settings.Recursive = true
		return objAPI.HealObjects(h.ctx, minioMetaBucket, metaPrefix, h.settings, func(bucket, object, versionID string, scanMode madmin.HealScanMode) error {
			if h.isQuitting() {
				return errHealStopSignalled
			}

	Size  int64
	N     int64
}

// Add a duration to a single element.
func (a *AccElem) add(dur time.Duration) {
	if dur < 0 {
		dur = 0
	}
	a.Total += int64(dur)
	a.N++
}

// Merge b into a.
func (a *AccElem) merge(b AccElem) {
	a.N += b.N
	a.Total += b.Total
	a.Size += b.Size
}

// Avg returns average time spent.
func (a AccElem) avg() time.Duration {
	if a.N >= 1 && a.Total > 0 {

// getSHA256Hash returns SHA-256 hash in hex encoding of given data.
func getSHA256Hash(data []byte) string {
	return hex.EncodeToString(getSHA256Sum(data))
}

// getSHA256Hash returns SHA-256 sum of given data.
func getSHA256Sum(data []byte) []byte {
	hash := sha256.New()
	hash.Write(data)
	return hash.Sum(nil)
}

// getMD5Sum returns MD5 sum of given data.
func getMD5Sum(data []byte) []byte {
	hash := md5.New()
	hash.Write(data)

// getScope generate a string of a specific date, an AWS region, and a service.
func getScope(t time.Time, region string) string {
	scope := strings.Join([]string{
		t.Format(yyyymmdd),
		region,
		string(serviceS3),
		"aws4_request",
	}, SlashSeparator)
	return scope
}

// getStringToSign a string based on selected query values.
func getStringToSign(canonicalRequest string, t time.Time, scope string) string {