// infinity for 172 <= x <= 180.
// The polynomial is valid for 33 <= x <= 172; larger values are only used
// in reciprocal and produce denormalized floats. The lower precision there
// masks any imprecision in the polynomial.
func stirling(x float64) (float64, float64) {
	if x > 200 {
		return Inf(1), 1
	}
	const (
		SqrtTwoPi   = 2.506628274631000502417
		MaxStirling = 143.01608
	)

	// Any additional information provided by the authenticator.
	// +optional
	Extra map[string]ExtraValue `json:"extra,omitempty" protobuf:"bytes,4,rep,name=extra"`
}

// ExtraValue masks the value so protobuf can generate
// +protobuf.nullable=true
// +protobuf.options.(gogoproto.goproto_stringer)=false
type ExtraValue []string

func (t ExtraValue) String() string {

		data = data[siz:]
	}
	if len(data) > 0 {
		var s [16]byte
		copy(s[:], data)
		gcmHash(hash[:], &g.productTable, s[:], len(s))
	}
}

// auth calculates GHASH(ciphertext, additionalData), masks the result with
// tagMask and writes the result to out.
func (g *gcmAsm) auth(out, ciphertext, aad []byte, tagMask *[gcmTagSize]byte) {
	var hash [16]byte
	g.paddedGHASH(&hash, aad)
	g.paddedGHASH(&hash, ciphertext)

  // If request was approved, the controller will place the issued certificate here.
  // +listType=atomic
  // +optional
  optional bytes certificate = 2;
}

// ExtraValue masks the value so protobuf can generate
// +protobuf.nullable=true
// +protobuf.options.(gogoproto.goproto_stringer)=false
message ExtraValue {
  // items, if empty, will result in an empty slice

  // If request was approved, the controller will place the issued certificate here.
  // +listType=atomic
  // +optional
  optional bytes certificate = 2;
}

// ExtraValue masks the value so protobuf can generate
// +protobuf.nullable=true
// +protobuf.options.(gogoproto.goproto_stringer)=false
message ExtraValue {
  // items, if empty, will result in an empty slice

	// the TopologyManager supports on the underlying machine.
	//
	// At present, having more than this number of NUMA Nodes will result in a
	// state explosion when trying to enumerate possible NUMAAffinity masks and
	// generate hints for them. As such, if more NUMA Nodes than this are
	// present on a machine and the TopologyManager is enabled, an error will
	// be returned and the TopologyManager will not be loaded.

		// No-op.
	case color.AlphaModel:
		mask1 := image.NewAlpha(image.Rect(0, 0, srcw, srch))
		for y := 0; y < srch; y++ {
			for x := 0; x < srcw; x++ {
				a := uint8((23*x + 29*y) % 0x100)
				// Glyph masks are typically mostly zero,
				// so we only set a quarter of mask1's pixels.
				if a >= 0xc0 {
					mask1.SetAlpha(x, y, color.Alpha{a})
				}
			}
		}
		mask = mask1
	default:

  optional string apiVersion = 2;

  // Name of the referent.
  // +optional
  optional string name = 3;

  // UID of the referent.
  // +optional
  optional string uID = 4;
}

// ExtraValue masks the value so protobuf can generate
// +protobuf.nullable=true
// +protobuf.options.(gogoproto.goproto_stringer)=false
message ExtraValue {
  // items, if empty, will result in an empty slice

  repeated string items = 1;

	if len(ip) == IPv6len {
		return ip
	}
	return nil
}

// Default route masks for IPv4.
var (
	classAMask = IPv4Mask(0xff, 0, 0, 0)
	classBMask = IPv4Mask(0xff, 0xff, 0, 0)
	classCMask = IPv4Mask(0xff, 0xff, 0xff, 0)
)

// DefaultMask returns the default IP mask for the IP address ip.
// Only IPv4 addresses have default masks; DefaultMask returns
// nil if ip is not a valid IPv4 address.

	// different UIDs.
	UID string
	// The names of groups this user is a part of.
	Groups []string
	// Any additional information provided by the authenticator.
	Extra map[string]ExtraValue
}

// ExtraValue masks the value so protobuf can generate
type ExtraValue []string

// +k8s:deepcopy-gen:interfaces=k8s.io/apimachinery/pkg/runtime.Object

// TokenRequest requests a token for a given service account.