# Scalar Types > NumKong for Swift The output type is intentionally wider than the storage type for most operations. The table below documents the promotion for scalar collection extensions. | Input type | `.dot()` | `.angular()` | `.euclidean()` | `.sqeuclidean()` | `.hamming()` | `.jaccard()` | | :--------- | :-------- | :----------- | :------------- | :--------------- | :----------- | :----------- | | `Float64` | `Float64` | `Float64` | `Float64` | `Float64` | … | … | | `Float32` | `Float64` | `Float64` | `Float64` | `Float64` | … | … | | `BFloat16` | `Float32` | `Float32` | `Float32` | `Float32` | … | … | | `Float16` | `Float32` | `Float32` | `Float32` | `Float32` | … | … | | `Int8` | `Int32` | `Float32` | `Float32` | `UInt32` | … | … | | `I4x2` | `Int32` | `Float32` | `Float32` | `UInt32` | … | … | | `UInt8` | `UInt32` | `Float32` | `Float32` | `UInt32` | … | … | | `U4x2` | `UInt32` | `Float32` | `Float32` | `UInt32` | … | … | | `U1x8` | … | … | … | … | `UInt32` | `Float32` | The matrix kernel output types follow a similar pattern but vary for the mini-float formats: | Input type | Dots output | Spatial output | Hamming output | Jaccard output | | :--------- | :---------- | :------------- | :------------- | :------------- | | `Float64` | `Float64` | `Float64` | … | … | | `Float32` | `Float64` | `Float64` | … | … | | `BFloat16` | `Float32` | `Float32` | … | … | | `Float16` | `Float32` | `Float32` | … | … | | `E5M2` | `Float32` | `Float32` | … | … | | `E4M3` | `Float32` | `Float32` | … | … | | `E3M2` | `Float32` | `Float32` | … | … | | `E2M3` | `Float32` | `Float32` | … | … | | `Int8` | `Int32` | `Float32` | … | … | | `I4x2` | `Int32` | `Float32` | … | … | | `UInt8` | `UInt32` | `Float32` | … | … | | `U4x2` | `UInt32` | `Float32` | … | … | | `U1x8` | `UInt32` | … | `UInt32` | `Float32` | ### Low-Precision Storage Wrappers Swift has no built-in bf16, mini-float, or packed-bit scalar types. NumKong ships storage wrappers instead. - __`BFloat16`__ — 1+8+7 bit layout (sign + exponent + mantissa), 2 bytes. Same dynamic range as `Float32` with reduced precision. Supports NaN and Inf. - __`E5M2`__ — 1+5+2 bit layout, 1 byte. Range ±57344. Supports Inf and NaN. - __`E4M3`__ — 1+4+3 bit layout, 1 byte. Range ±448. No Inf representation; NaN is encoded only as `0x7F` or `0xFF`. - __`E3M2`__ — 1+3+2 bit layout, 1 byte (6 bits used). Range ±28. No Inf, no NaN. - __`E2M3`__ — 1+2+3 bit layout, 1 byte (6 bits used). Range ±7.5. No Inf, no NaN. - __`I4x2`__ and __`U4x2`__ — two 4-bit lanes per byte, high nibble first. Signed lanes span -8...7, unsigned 0...15; `first` and `second` unpack them and `init(first:second:)` packs them, with `first` in the high nibble. Supports dot, angular, and Euclidean scalar and matrix kernels. - __`U1x8`__ — 8 packed bits per byte. Used for binary embeddings and semantic hashing. Supports Hamming and Jaccard scalar and matrix kernels. Every floating-point wrapper provides `init(bitPattern:)`, `init(float:)`, and `var float: Float32`. All are `@frozen`, `Equatable`, `Hashable`, `Sendable`. `U1x8`, `I4x2`, and `U4x2` provide `init(bitPattern:)` and expose their underlying `UInt8` value. These wrappers are exact-storage types first. They are there to preserve bits and make the native kernels callable from Swift. They are not pretending to be standard-library numeric types. `import NumKong` ## BFloat16 Brain floating-point: 16-bit storage with 8-bit exponent, used in ML inference. ```swift @frozen struct BFloat16 ``` Conforms to: `[NumKongDotsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongDotsMatrixElement)`, `[NumKongSpatialsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongSpatialsMatrixElement)`, `[NumKongMaxSimElement](https://www.unum.cloud/docs/numkong/swift/maxsim.md#NumKongMaxSimElement)`, `Equatable`, `Hashable`, `Sendable`, `BitwiseCopyable`, `CustomStringConvertible`, `ExpressibleByFloatLiteral`, `[NumKongDot](https://www.unum.cloud/docs/numkong/swift/dot-products.md#NumKongDot)`, `[NumKongAngular](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongAngular)`, `[NumKongEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongEuclidean)`, `[NumKongSqEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongSqEuclidean)` ## DotsOutput ```swift typealias DotsOutput = Float32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## MaxSimOutput ```swift typealias MaxSimOutput = Float32 ``` ## bitPattern ```swift var bitPattern: UInt16 ``` ## init ```swift init(bitPattern: UInt16) ``` ```swift init(float: Float32) ``` ```swift init(floatLiteral value: Double) ``` ## float ```swift var float: Float32 { get } ``` ## description ```swift var description: String { get } ``` ## DotOutput ```swift typealias DotOutput = Float32 ``` ## * ```swift static func dot( _ a: A, _ b: B ) -> Float32? where A : Sequence, B : Sequence, A.Element == BFloat16, B.Element == BFloat16 ``` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `hamming` - `jaccard` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `angular` - `euclidean` - `sqeuclidean` - `dot` - `angular` - `euclidean` - `sqeuclidean` ## AngularOutput ```swift typealias AngularOutput = Float32 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float32 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = Float32 ``` ## E5M2 FP8 E5M2 format with 5-bit exponent and 2-bit mantissa, used in gradient storage. ```swift @frozen struct E5M2 ``` Conforms to: `[NumKongDotsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongDotsMatrixElement)`, `[NumKongSpatialsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongSpatialsMatrixElement)`, `Equatable`, `Hashable`, `Sendable`, `BitwiseCopyable`, `CustomStringConvertible`, `ExpressibleByFloatLiteral`, `[NumKongDot](https://www.unum.cloud/docs/numkong/swift/dot-products.md#NumKongDot)`, `[NumKongAngular](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongAngular)`, `[NumKongEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongEuclidean)`, `[NumKongSqEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongSqEuclidean)` ## DotsOutput ```swift typealias DotsOutput = Float32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## bitPattern ```swift var bitPattern: UInt8 ``` ## init ```swift init(bitPattern: UInt8) ``` ```swift init(float: Float32) ``` ```swift init(floatLiteral value: Double) ``` ## float ```swift var float: Float32 { get } ``` ## description ```swift var description: String { get } ``` ## DotOutput ```swift typealias DotOutput = Float32 ``` ## AngularOutput ```swift typealias AngularOutput = Float32 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float32 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = Float32 ``` ## E4M3 FP8 E4M3 format with 4-bit exponent and 3-bit mantissa, used in transformer inference. ```swift @frozen struct E4M3 ``` Conforms to: `[NumKongDotsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongDotsMatrixElement)`, `[NumKongSpatialsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongSpatialsMatrixElement)`, `Equatable`, `Hashable`, `Sendable`, `BitwiseCopyable`, `CustomStringConvertible`, `ExpressibleByFloatLiteral`, `[NumKongDot](https://www.unum.cloud/docs/numkong/swift/dot-products.md#NumKongDot)`, `[NumKongAngular](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongAngular)`, `[NumKongEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongEuclidean)`, `[NumKongSqEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongSqEuclidean)` ## DotsOutput ```swift typealias DotsOutput = Float32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## bitPattern ```swift var bitPattern: UInt8 ``` ## init ```swift init(bitPattern: UInt8) ``` ```swift init(float: Float32) ``` ```swift init(floatLiteral value: Double) ``` ## float ```swift var float: Float32 { get } ``` ## description ```swift var description: String { get } ``` ## DotOutput ```swift typealias DotOutput = Float32 ``` ## AngularOutput ```swift typealias AngularOutput = Float32 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float32 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = Float32 ``` ## E3M2 MX E3M2 format with 3-bit exponent and 2-bit mantissa. ```swift @frozen struct E3M2 ``` Conforms to: `[NumKongDotsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongDotsMatrixElement)`, `[NumKongSpatialsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongSpatialsMatrixElement)`, `Equatable`, `Hashable`, `Sendable`, `BitwiseCopyable`, `CustomStringConvertible`, `ExpressibleByFloatLiteral`, `[NumKongDot](https://www.unum.cloud/docs/numkong/swift/dot-products.md#NumKongDot)`, `[NumKongAngular](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongAngular)`, `[NumKongEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongEuclidean)`, `[NumKongSqEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongSqEuclidean)` ## DotsOutput ```swift typealias DotsOutput = Float32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## bitPattern ```swift var bitPattern: UInt8 ``` ## init ```swift init(bitPattern: UInt8) ``` ```swift init(float: Float32) ``` ```swift init(floatLiteral value: Double) ``` ## float ```swift var float: Float32 { get } ``` ## description ```swift var description: String { get } ``` ## DotOutput ```swift typealias DotOutput = Float32 ``` ## AngularOutput ```swift typealias AngularOutput = Float32 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float32 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = Float32 ``` ## E2M3 MX E2M3 format with 2-bit exponent and 3-bit mantissa. ```swift @frozen struct E2M3 ``` Conforms to: `[NumKongDotsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongDotsMatrixElement)`, `[NumKongSpatialsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongSpatialsMatrixElement)`, `Equatable`, `Hashable`, `Sendable`, `BitwiseCopyable`, `CustomStringConvertible`, `ExpressibleByFloatLiteral`, `[NumKongDot](https://www.unum.cloud/docs/numkong/swift/dot-products.md#NumKongDot)`, `[NumKongAngular](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongAngular)`, `[NumKongEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongEuclidean)`, `[NumKongSqEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongSqEuclidean)` ## DotsOutput ```swift typealias DotsOutput = Float32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## bitPattern ```swift var bitPattern: UInt8 ``` ## init ```swift init(bitPattern: UInt8) ``` ```swift init(float: Float32) ``` ```swift init(floatLiteral value: Double) ``` ## float ```swift var float: Float32 { get } ``` ## description ```swift var description: String { get } ``` ## DotOutput ```swift typealias DotOutput = Float32 ``` ## AngularOutput ```swift typealias AngularOutput = Float32 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float32 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = Float32 ``` ## I4x2 Packed pair of 4-bit signed integers, `[high nibble : low nibble]`, each in -8...7. ```swift @frozen struct I4x2 ``` Conforms to: `[NumKongDotsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongDotsMatrixElement)`, `[NumKongSpatialsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongSpatialsMatrixElement)`, `Equatable`, `Hashable`, `Sendable`, `BitwiseCopyable`, `CustomStringConvertible`, `[NumKongDot](https://www.unum.cloud/docs/numkong/swift/dot-products.md#NumKongDot)`, `[NumKongAngular](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongAngular)`, `[NumKongEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongEuclidean)`, `[NumKongSqEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongSqEuclidean)` ## DotsOutput ```swift typealias DotsOutput = Int32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## bitPattern ```swift var bitPattern: UInt8 ``` ## init Packs two lanes, [`first`](#first) into the high nibble, keeping the low four bits of each. ```swift init(_ bits: UInt8) ``` ```swift init(bitPattern: UInt8) ``` ```swift init(first: Int8, second: Int8) ``` Packs two lanes, [`first`](#first) into the high nibble, keeping the low four bits of each. ## first The first lane, in the high nibble, sign-extended. ```swift var first: Int8 { get } ``` ## second The second lane, in the low nibble, sign-extended. ```swift var second: Int8 { get } ``` ## description ```swift var description: String { get } ``` ## DotOutput ```swift typealias DotOutput = Int32 ``` ## AngularOutput ```swift typealias AngularOutput = Float32 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float32 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = UInt32 ``` ## U4x2 Packed pair of 4-bit unsigned integers, `[high nibble : low nibble]`, each in 0...15. ```swift @frozen struct U4x2 ``` Conforms to: `[NumKongDotsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongDotsMatrixElement)`, `[NumKongSpatialsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongSpatialsMatrixElement)`, `Equatable`, `Hashable`, `Sendable`, `BitwiseCopyable`, `CustomStringConvertible`, `[NumKongDot](https://www.unum.cloud/docs/numkong/swift/dot-products.md#NumKongDot)`, `[NumKongAngular](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongAngular)`, `[NumKongEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongEuclidean)`, `[NumKongSqEuclidean](https://www.unum.cloud/docs/numkong/swift/dense-distances.md#NumKongSqEuclidean)` ## DotsOutput ```swift typealias DotsOutput = UInt32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## bitPattern ```swift var bitPattern: UInt8 ``` ## init Packs two lanes, [`first`](#first) into the high nibble, keeping the low four bits of each. ```swift init(_ bits: UInt8) ``` ```swift init(bitPattern: UInt8) ``` ```swift init(first: UInt8, second: UInt8) ``` Packs two lanes, [`first`](#first) into the high nibble, keeping the low four bits of each. ## first The first lane, in the high nibble. ```swift var first: UInt8 { get } ``` ## second The second lane, in the low nibble. ```swift var second: UInt8 { get } ``` ## description ```swift var description: String { get } ``` ## DotOutput ```swift typealias DotOutput = UInt32 ``` ## AngularOutput ```swift typealias AngularOutput = Float32 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float32 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = UInt32 ``` ## E2M1x2 Packed pair of 4-bit E2M1 floats, `[high nibble : low nibble]`, each of 1 sign, 2 exponent and 1 mantissa bits. ```swift @frozen struct E2M1x2 ``` Conforms to: `[NumKongDotsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongDotsMatrixElement)`, `[NumKongSpatialsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongSpatialsMatrixElement)`, `Equatable`, `Hashable`, `Sendable`, `BitwiseCopyable`, `CustomStringConvertible` ## DotsOutput ```swift typealias DotsOutput = Float32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## bitPattern ```swift var bitPattern: UInt8 ``` ## init Packs two lane codes, [`first`](#first) into the high nibble, keeping the low four bits of each. ```swift init(_ bits: UInt8) ``` ```swift init(bitPattern: UInt8) ``` ```swift init(first: UInt8, second: UInt8) ``` Packs two lane codes, [`first`](#first) into the high nibble, keeping the low four bits of each. ## first The first lane code, in the high nibble. ```swift var first: UInt8 { get } ``` ## second The second lane code, in the low nibble. ```swift var second: UInt8 { get } ``` ## description ```swift var description: String { get } ``` ## U1x8 Packed 8-bit binary vector element for Hamming and Jaccard distance computations. ```swift @frozen struct U1x8 ``` Conforms to: `[NumKongDotsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongDotsMatrixElement)`, `[NumKongSetsMatrixElement](https://www.unum.cloud/docs/numkong/swift/matrix-kernels.md#NumKongSetsMatrixElement)`, `Equatable`, `Hashable`, `Sendable`, `BitwiseCopyable`, `CustomStringConvertible`, `[NumKongDot](https://www.unum.cloud/docs/numkong/swift/dot-products.md#NumKongDot)`, `[NumKongHamming](https://www.unum.cloud/docs/numkong/swift/set-similarity.md#NumKongHamming)`, `[NumKongJaccard](https://www.unum.cloud/docs/numkong/swift/set-similarity.md#NumKongJaccard)` ## DotsOutput ```swift typealias DotsOutput = UInt32 ``` ## HammingOutput ```swift typealias HammingOutput = UInt32 ``` ## JaccardOutput ```swift typealias JaccardOutput = Float32 ``` ## bitPattern ```swift var bitPattern: UInt8 ``` ## init ```swift init(_ bits: UInt8) ``` ```swift init(bitPattern: UInt8) ``` ## popcount ```swift var popcount: Int { get } ``` ## description ```swift var description: String { get } ``` ## DotOutput ```swift typealias DotOutput = UInt32 ``` ## Double ```swift extension Double : NumKongDotsMatrixElement, NumKongSpatialsMatrixElement, NumKongHaversines, NumKongVincentys, NumKongDot, NumKongAngular, NumKongEuclidean, NumKongSqEuclidean ``` ## haversines ```swift static func haversines( aLatitudes: UnsafeBufferPointer, aLongitudes: UnsafeBufferPointer, bLatitudes: UnsafeBufferPointer, bLongitudes: UnsafeBufferPointer, results: UnsafeMutableBufferPointer ) -> Bool ``` ```swift static func haversines( aLatitudes: A, aLongitudes: B, bLatitudes: C, bLongitudes: D ) -> [Float64]? where A : Sequence, B : Sequence, C : Sequence, D : Sequence, A.Element == Double, B.Element == Double, C.Element == Double, D.Element == Double ``` ## vincentys ```swift static func vincentys( aLatitudes: UnsafeBufferPointer, aLongitudes: UnsafeBufferPointer, bLatitudes: UnsafeBufferPointer, bLongitudes: UnsafeBufferPointer, results: UnsafeMutableBufferPointer ) -> Bool ``` ```swift static func vincentys( aLatitudes: A, aLongitudes: B, bLatitudes: C, bLongitudes: D ) -> [Float64]? where A : Sequence, B : Sequence, C : Sequence, D : Sequence, A.Element == Double, B.Element == Double, C.Element == Double, D.Element == Double ``` ## DotsOutput ```swift typealias DotsOutput = Float64 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float64 ``` ## DotOutput ```swift typealias DotOutput = Float64 ``` ## AngularOutput ```swift typealias AngularOutput = Float64 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float64 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = Float64 ``` ## Float ```swift extension Float : NumKongDotsMatrixElement, NumKongSpatialsMatrixElement, NumKongMaxSimElement, NumKongDot, NumKongAngular, NumKongEuclidean, NumKongSqEuclidean ``` ## DotsOutput ```swift typealias DotsOutput = Float64 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float64 ``` ## MaxSimOutput ```swift typealias MaxSimOutput = Float64 ``` ## DotOutput ```swift typealias DotOutput = Float64 ``` ## AngularOutput ```swift typealias AngularOutput = Float64 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float64 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = Float64 ``` ## Float16 ```swift extension Float16 : NumKongDotsMatrixElement, NumKongSpatialsMatrixElement, NumKongMaxSimElement, NumKongDot, NumKongAngular, NumKongEuclidean, NumKongSqEuclidean ``` ## DotsOutput ```swift typealias DotsOutput = Float32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## MaxSimOutput ```swift typealias MaxSimOutput = Float32 ``` ## DotOutput ```swift typealias DotOutput = Float32 ``` ## AngularOutput ```swift typealias AngularOutput = Float32 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float32 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = Float32 ``` ## Int8 ```swift extension Int8 : NumKongDotsMatrixElement, NumKongSpatialsMatrixElement, NumKongDot, NumKongAngular, NumKongEuclidean, NumKongSqEuclidean ``` ## DotsOutput ```swift typealias DotsOutput = Int32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## DotOutput ```swift typealias DotOutput = Int32 ``` ## AngularOutput ```swift typealias AngularOutput = Float32 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float32 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = UInt32 ``` ## UInt8 ```swift extension UInt8 : NumKongDotsMatrixElement, NumKongSpatialsMatrixElement, NumKongDot, NumKongAngular, NumKongEuclidean, NumKongSqEuclidean ``` ## DotsOutput ```swift typealias DotsOutput = UInt32 ``` ## SpatialOutput ```swift typealias SpatialOutput = Float32 ``` ## DotOutput ```swift typealias DotOutput = UInt32 ``` ## AngularOutput ```swift typealias AngularOutput = Float32 ``` ## EuclideanOutput ```swift typealias EuclideanOutput = Float32 ``` ## SqEuclideanOutput ```swift typealias SqEuclideanOutput = UInt32 ```