Copyright	(C) 2013-2014 Richard Eisenberg Jan Stolarek
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Singletons.Prelude.Either

Contents

The Either singleton
Singletons from Data.Either
Defunctionalization symbols

Description

Defines functions and datatypes relating to the singleton for Either, including a singletons version of all the definitions in Data.Either.

Because many of these definitions are produced by Template Haskell, it is not possible to create proper Haddock documentation. Please look up the corresponding operation in Data.Either. Also, please excuse the apparent repeated variable names. This is due to an interaction between Template Haskell and Haddock.

Synopsis

type family Sing
data SEither z where
- SLeft :: forall (a :: Type) (b :: Type) (n :: a). (Sing n) -> SEither ('Left n :: Either (a :: Type) (b :: Type))
- SRight :: forall (a :: Type) (b :: Type) (n :: b). (Sing n) -> SEither ('Right n :: Either (a :: Type) (b :: Type))
either_ :: (a -> c) -> (b -> c) -> Either a b -> c
type family Either_ a a a where ...
sEither_ :: forall a c b (t :: (~>) a c) (t :: (~>) b c) (t :: Either a b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Either_Sym0 t) t) t :: c)
type family Lefts a where ...
sLefts :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply LeftsSym0 t :: [a])
type family Rights a where ...
sRights :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply RightsSym0 t :: [b])
type family PartitionEithers a where ...
sPartitionEithers :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply PartitionEithersSym0 t :: ([a], [b]))
type family IsLeft a where ...
sIsLeft :: forall a b (t :: Either a b). Sing t -> Sing (Apply IsLeftSym0 t :: Bool)
type family IsRight a where ...
sIsRight :: forall a b (t :: Either a b). Sing t -> Sing (Apply IsRightSym0 t :: Bool)
data LeftSym0 a6989586621679304182
type LeftSym1 (a6989586621679304182 :: a) = 'Left a6989586621679304182 :: Either (a :: Type) (b :: Type)
data RightSym0 a6989586621679304184
type RightSym1 (a6989586621679304184 :: b) = 'Right a6989586621679304184 :: Either (a :: Type) (b :: Type)
data Either_Sym0 a6989586621680470389
data Either_Sym1 a6989586621680470389 a6989586621680470390
data Either_Sym2 a6989586621680470389 a6989586621680470390 a6989586621680470391
type Either_Sym3 (a6989586621680470389 :: (~>) a c) (a6989586621680470390 :: (~>) b c) (a6989586621680470391 :: Either a b) = Either_ a6989586621680470389 a6989586621680470390 a6989586621680470391 :: c
data LeftsSym0 a6989586621680472085
type LeftsSym1 (a6989586621680472085 :: [Either a b]) = Lefts a6989586621680472085 :: [a]
data RightsSym0 a6989586621680472079
type RightsSym1 (a6989586621680472079 :: [Either a b]) = Rights a6989586621680472079 :: [b]
data IsLeftSym0 a6989586621680472057
type IsLeftSym1 (a6989586621680472057 :: Either a b) = IsLeft a6989586621680472057 :: Bool
data IsRightSym0 a6989586621680472054
type IsRightSym1 (a6989586621680472054 :: Either a b) = IsRight a6989586621680472054 :: Bool

The `Either` singleton

type family Sing Source #

The singleton kind-indexed type family.

Instances

Instances details

type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = SBool
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = SOrdering
type Sing Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Sing = SNat
type Sing Source #
Instance details Defined in Data.Singletons.TypeLits.Internal type Sing = SSymbol
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = STuple0
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = SVoid
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SAll
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SAny
type Sing Source #
Instance details Defined in Data.Singletons.TypeError type Sing = SErrorMessage
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = SList :: [a] -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = SMaybe :: Maybe a -> Type
type Sing Source #	A choice of singleton for the kind `TYPE rep` (for some `RuntimeRep` `rep`), an instantiation of which is the famous kind `Type`. Conceivably, one could generalize this instance to `Sing @k` for any kind `k`, and remove all other `Sing` instances. We don't adopt this design, however, since it is far more convenient in practice to work with explicit singleton values than `TypeRep`s (for instance, `TypeRep`s are more difficult to pattern match on, and require extra runtime checks). We cannot produce explicit singleton values for everything in `TYPE rep`, however, since it is an open kind, so we reach for `TypeRep` in this one particular case.
Instance details Defined in Data.Singletons.TypeRepTYPE type Sing = TypeRep :: TYPE rep -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SMin :: Min a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SMax :: Max a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SFirst :: First a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SLast :: Last a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SWrappedMonoid :: WrappedMonoid m -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SOption :: Option a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = SIdentity :: Identity a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Monoid type Sing = SFirst :: First a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Monoid type Sing = SLast :: Last a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SDual :: Dual a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SSum :: Sum a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup.Internal type Sing = SProduct :: Product a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Ord type Sing = SDown :: Down a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = SNonEmpty :: NonEmpty a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = SEither :: Either a b -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = STuple2 :: (a, b) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Semigroup type Sing = SArg :: Arg a b -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Proxy type Sing = SProxy :: Proxy t -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Internal type Sing = SLambda :: (k1 ~> k2) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Internal type Sing = SWrappedSing :: WrappedSing a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Sigma type Sing = SSigma :: Sigma s t -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = STuple3 :: (a, b, c) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Const type Sing = SConst :: Const a b -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = STuple4 :: (a, b, c, d) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = STuple5 :: (a, b, c, d, e) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = STuple6 :: (a, b, c, d, e, f) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Sing = STuple7 :: (a, b, c, d, e, f, g) -> Type

data SEither z where Source #

Constructors

SLeft :: forall (a :: Type) (b :: Type) (n :: a). (Sing n) -> SEither ('Left n :: Either (a :: Type) (b :: Type))
SRight :: forall (a :: Type) (b :: Type) (n :: b). (Sing n) -> SEither ('Right n :: Either (a :: Type) (b :: Type))

Instances

Instances details

(SDecide a, SDecide b) => TestCoercion (SEither :: Either a b -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Instances Methods testCoercion :: forall (a0 :: k) (b0 :: k). SEither a0 -> SEither b0 -> Maybe (Coercion a0 b0) #
(SDecide a, SDecide b) => TestEquality (SEither :: Either a b -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Instances Methods testEquality :: forall (a0 :: k) (b0 :: k). SEither a0 -> SEither b0 -> Maybe (a0 :~: b0) #
(ShowSing a, ShowSing b) => Show (SEither z) Source #
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SEither z -> ShowS # show :: SEither z -> String # showList :: [SEither z] -> ShowS #

Singletons from `Data.Either`

either_ :: (a -> c) -> (b -> c) -> Either a b -> c Source #

type family Either_ a a a where ... Source #

Equations

Either_ f _ ('Left x) = Apply f x
Either_ _ g ('Right y) = Apply g y

sEither_ :: forall a c b (t :: (~>) a c) (t :: (~>) b c) (t :: Either a b). Sing t -> Sing t -> Sing t -> Sing (Apply (Apply (Apply Either_Sym0 t) t) t :: c) Source #

The preceding two definitions are derived from the function either in Data.Either. The extra underscore is to avoid name clashes with the type Either.

type family Lefts a where ... Source #

Equations

Lefts '[] = NilSym0
Lefts ('(:) ('Left x) xs) = Apply (Apply (:@#@$) x) (Apply LeftsSym0 xs)
Lefts ('(:) ('Right _) xs) = Apply LeftsSym0 xs

sLefts :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply LeftsSym0 t :: [a]) Source #

type family Rights a where ... Source #

Equations

Rights '[] = NilSym0
Rights ('(:) ('Left _) xs) = Apply RightsSym0 xs
Rights ('(:) ('Right x) xs) = Apply (Apply (:@#@$) x) (Apply RightsSym0 xs)

sRights :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply RightsSym0 t :: [b]) Source #

type family PartitionEithers a where ... Source #

Equations

PartitionEithers a_6989586621680472058 = Apply (Apply (Apply FoldrSym0 (Apply (Apply Either_Sym0 (Let6989586621680472064LeftSym1 a_6989586621680472058)) (Let6989586621680472064RightSym1 a_6989586621680472058))) (Apply (Apply Tuple2Sym0 NilSym0) NilSym0)) a_6989586621680472058

sPartitionEithers :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply PartitionEithersSym0 t :: ([a], [b])) Source #

type family IsLeft a where ... Source #

Equations

IsLeft ('Left _) = TrueSym0
IsLeft ('Right _) = FalseSym0

sIsLeft :: forall a b (t :: Either a b). Sing t -> Sing (Apply IsLeftSym0 t :: Bool) Source #

type family IsRight a where ... Source #

Equations

IsRight ('Left _) = FalseSym0
IsRight ('Right _) = TrueSym0

sIsRight :: forall a b (t :: Either a b). Sing t -> Sing (Apply IsRightSym0 t :: Bool) Source #

Defunctionalization symbols

data LeftSym0 a6989586621679304182 Source #

Instances

Instances details

SingI (LeftSym0 :: TyFun a (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Instances Methods sing :: Sing LeftSym0 Source #
SuppressUnusedWarnings (LeftSym0 :: TyFun a (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () Source #
type Apply (LeftSym0 :: TyFun a (Either a b) -> Type) (a6989586621679304182 :: a) Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Apply (LeftSym0 :: TyFun a (Either a b) -> Type) (a6989586621679304182 :: a) = LeftSym1 a6989586621679304182 :: Either a b

type LeftSym1 (a6989586621679304182 :: a) = 'Left a6989586621679304182 :: Either (a :: Type) (b :: Type) Source #

data RightSym0 a6989586621679304184 Source #

Instances

Instances details

SingI (RightSym0 :: TyFun b (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Instances Methods sing :: Sing RightSym0 Source #
SuppressUnusedWarnings (RightSym0 :: TyFun b (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () Source #
type Apply (RightSym0 :: TyFun b (Either a b) -> Type) (a6989586621679304184 :: b) Source #
Instance details Defined in Data.Singletons.Prelude.Instances type Apply (RightSym0 :: TyFun b (Either a b) -> Type) (a6989586621679304184 :: b) = RightSym1 a6989586621679304184 :: Either a b

type RightSym1 (a6989586621679304184 :: b) = 'Right a6989586621679304184 :: Either (a :: Type) (b :: Type) Source #

data Either_Sym0 a6989586621680470389 Source #

Instances

Instances details

SingI (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods sing :: Sing Either_Sym0 Source #
SuppressUnusedWarnings (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source #
type Apply (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) (a6989586621680470389 :: a ~> c) Source #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) (a6989586621680470389 :: a ~> c) = Either_Sym1 a6989586621680470389 :: TyFun (b ~> c) (Either a b ~> c) -> Type

data Either_Sym1 a6989586621680470389 a6989586621680470390 Source #

Instances

Instances details

SingI d => SingI (Either_Sym1 d :: TyFun (b ~> c) (Either a b ~> c) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods sing :: Sing (Either_Sym1 d) Source #
SuppressUnusedWarnings (Either_Sym1 a6989586621680470389 :: TyFun (b ~> c) (Either a b ~> c) -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source #
type Apply (Either_Sym1 a6989586621680470389 :: TyFun (b ~> c) (Either a b ~> c) -> Type) (a6989586621680470390 :: b ~> c) Source #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym1 a6989586621680470389 :: TyFun (b ~> c) (Either a b ~> c) -> Type) (a6989586621680470390 :: b ~> c) = Either_Sym2 a6989586621680470389 a6989586621680470390

data Either_Sym2 a6989586621680470389 a6989586621680470390 a6989586621680470391 Source #

Instances

Instances details

(SingI d1, SingI d2) => SingI (Either_Sym2 d1 d2 :: TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods sing :: Sing (Either_Sym2 d1 d2) Source #
SuppressUnusedWarnings (Either_Sym2 a6989586621680470389 a6989586621680470390 :: TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source #
type Apply (Either_Sym2 a6989586621680470389 a6989586621680470390 :: TyFun (Either a b) c -> Type) (a6989586621680470391 :: Either a b) Source #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym2 a6989586621680470389 a6989586621680470390 :: TyFun (Either a b) c -> Type) (a6989586621680470391 :: Either a b) = Either_Sym3 a6989586621680470389 a6989586621680470390 a6989586621680470391

type Either_Sym3 (a6989586621680470389 :: (~>) a c) (a6989586621680470390 :: (~>) b c) (a6989586621680470391 :: Either a b) = Either_ a6989586621680470389 a6989586621680470390 a6989586621680470391 :: c Source #

data LeftsSym0 a6989586621680472085 Source #

Instances

Instances details

SingI (LeftsSym0 :: TyFun [Either a b] [a] -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods sing :: Sing LeftsSym0 Source #
SuppressUnusedWarnings (LeftsSym0 :: TyFun [Either a b] [a] -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source #
type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> Type) (a6989586621680472085 :: [Either a b]) Source #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> Type) (a6989586621680472085 :: [Either a b]) = LeftsSym1 a6989586621680472085

type LeftsSym1 (a6989586621680472085 :: [Either a b]) = Lefts a6989586621680472085 :: [a] Source #

data RightsSym0 a6989586621680472079 Source #

Instances

Instances details

SingI (RightsSym0 :: TyFun [Either a b] [b] -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods sing :: Sing RightsSym0 Source #
SuppressUnusedWarnings (RightsSym0 :: TyFun [Either a b] [b] -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source #
type Apply (RightsSym0 :: TyFun [Either a b] [b] -> Type) (a6989586621680472079 :: [Either a b]) Source #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (RightsSym0 :: TyFun [Either a b] [b] -> Type) (a6989586621680472079 :: [Either a b]) = RightsSym1 a6989586621680472079

type RightsSym1 (a6989586621680472079 :: [Either a b]) = Rights a6989586621680472079 :: [b] Source #

data IsLeftSym0 a6989586621680472057 Source #

Instances

Instances details

SingI (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods sing :: Sing IsLeftSym0 Source #
SuppressUnusedWarnings (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source #
type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680472057 :: Either a b) Source #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680472057 :: Either a b) = IsLeftSym1 a6989586621680472057

type IsLeftSym1 (a6989586621680472057 :: Either a b) = IsLeft a6989586621680472057 :: Bool Source #

data IsRightSym0 a6989586621680472054 Source #

Instances

Instances details

SingI (IsRightSym0 :: TyFun (Either a b) Bool -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods sing :: Sing IsRightSym0 Source #
SuppressUnusedWarnings (IsRightSym0 :: TyFun (Either a b) Bool -> Type) Source #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source #
type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680472054 :: Either a b) Source #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680472054 :: Either a b) = IsRightSym1 a6989586621680472054

type IsRightSym1 (a6989586621680472054 :: Either a b) = IsRight a6989586621680472054 :: Bool Source #

The Either singleton

Instances

Instances

Singletons from Data.Either

Defunctionalization symbols

Instances

Instances

Instances

Instances

Instances

Instances

Instances

Instances

Instances

The `Either` singleton

Singletons from `Data.Either`