Copyright	(C) 2013-2014 Richard Eisenberg Jan Stolarek
License	BSD-style (see LICENSE)
Maintainer	Ryan Scott
Stability	experimental
Portability	non-portable
Safe Haskell	Safe-Inferred
Language	Haskell2010

Data.Either.Singletons

Contents

The Either singleton
Singletons from Data.Either
Defunctionalization symbols

Description

Defines functions and datatypes relating to the singleton for Either, including singled versions 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 :: k -> Type
data SEither :: forall (a :: Type) (b :: Type). Either a b -> Type 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 c) (a :: (~>) b c) (a :: Either a b) :: c 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 :: [Either a b]) :: [a] where ...
sLefts :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply LeftsSym0 t :: [a])
type family Rights (a :: [Either a b]) :: [b] where ...
sRights :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply RightsSym0 t :: [b])
type family PartitionEithers (a :: [Either a b]) :: ([a], [b]) where ...
sPartitionEithers :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply PartitionEithersSym0 t :: ([a], [b]))
type family IsLeft (a :: Either a b) :: Bool where ...
sIsLeft :: forall a b (t :: Either a b). Sing t -> Sing (Apply IsLeftSym0 t :: Bool)
type family IsRight (a :: Either a b) :: Bool where ...
sIsRight :: forall a b (t :: Either a b). Sing t -> Sing (Apply IsRightSym0 t :: Bool)
data LeftSym0 :: (~>) a (Either (a :: Type) (b :: Type))
type family LeftSym1 (a6989586621679042156 :: a) :: Either (a :: Type) (b :: Type) where ...
data RightSym0 :: (~>) b (Either (a :: Type) (b :: Type))
type family RightSym1 (a6989586621679042158 :: b) :: Either (a :: Type) (b :: Type) where ...
data Either_Sym0 :: (~>) ((~>) a c) ((~>) ((~>) b c) ((~>) (Either a b) c))
data Either_Sym1 (a6989586621679322752 :: (~>) a c) :: (~>) ((~>) b c) ((~>) (Either a b) c)
data Either_Sym2 (a6989586621679322752 :: (~>) a c) (a6989586621679322753 :: (~>) b c) :: (~>) (Either a b) c
type family Either_Sym3 (a6989586621679322752 :: (~>) a c) (a6989586621679322753 :: (~>) b c) (a6989586621679322754 :: Either a b) :: c where ...
data LeftsSym0 :: (~>) [Either a b] [a]
type family LeftsSym1 (a6989586621679325035 :: [Either a b]) :: [a] where ...
data RightsSym0 :: (~>) [Either a b] [b]
type family RightsSym1 (a6989586621679325029 :: [Either a b]) :: [b] where ...
data IsLeftSym0 :: (~>) (Either a b) Bool
type family IsLeftSym1 (a6989586621679325007 :: Either a b) :: Bool where ...
data IsRightSym0 :: (~>) (Either a b) Bool
type family IsRightSym1 (a6989586621679325004 :: Either a b) :: Bool where ...

The `Either` singleton

type family Sing :: k -> Type #

Instances

Instances details

type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SAll
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SAny
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SVoid
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SOrdering
type Sing Source #
Instance details Defined in Data.Singletons.Base.TypeError type Sing = SErrorMessage
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SNat
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple0
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SBool
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SChar
type Sing Source #
Instance details Defined in GHC.TypeLits.Singletons.Internal type Sing = SSymbol
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SIdentity :: Identity a -> Type
type Sing Source #
Instance details Defined in Data.Monoid.Singletons type Sing = SFirst :: First a -> Type
type Sing Source #
Instance details Defined in Data.Monoid.Singletons type Sing = SLast :: Last a -> Type
type Sing Source #
Instance details Defined in Data.Ord.Singletons type Sing = SDown :: Down a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SFirst :: First a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SLast :: Last a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SMax :: Max a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SMin :: Min a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SWrappedMonoid :: WrappedMonoid m -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SDual :: Dual a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SProduct :: Product a -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons.Internal type Sing = SSum :: Sum a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SNonEmpty :: NonEmpty a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.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.Base.TypeRepTYPE type Sing = TypeRep :: TYPE rep -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SList :: [a] -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = SEither :: Either a b -> Type
type Sing Source #
Instance details Defined in Data.Proxy.Singletons type Sing = SProxy :: Proxy t -> Type
type Sing Source #
Instance details Defined in Data.Semigroup.Singletons type Sing = SArg :: Arg a b -> Type
type Sing
Instance details Defined in Data.Singletons type Sing = SWrappedSing :: WrappedSing a -> Type
type Sing
Instance details Defined in Data.Singletons type Sing = SLambda :: (k1 ~> k2) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple2 :: (a, b) -> Type
type Sing Source #
Instance details Defined in Data.Functor.Const.Singletons type Sing = SConst :: Const a b -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple3 :: (a, b, c) -> Type
type Sing Source #
Instance details Defined in Data.Functor.Product.Singletons type Sing = SProduct :: Product f g a -> Type
type Sing Source #
Instance details Defined in Data.Functor.Sum.Singletons type Sing = SSum :: Sum f g a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple4 :: (a, b, c, d) -> Type
type Sing Source #
Instance details Defined in Data.Functor.Compose.Singletons type Sing = SCompose :: Compose f g a -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple5 :: (a, b, c, d, e) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple6 :: (a, b, c, d, e, f) -> Type
type Sing Source #
Instance details Defined in Data.Singletons.Base.Instances type Sing = STuple7 :: (a, b, c, d, e, f, g) -> Type

data SEither :: forall (a :: Type) (b :: Type). Either a b -> Type 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.Base.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.Base.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.Base.Instances 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 c) (a :: (~>) b c) (a :: Either a b) :: c 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 :: [Either a b]) :: [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 :: [Either a b]) :: [b] 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 :: [Either a b]) :: ([a], [b]) where ... Source #

Equations

PartitionEithers a_6989586621679325008 = Apply (Apply (Apply FoldrSym0 (Apply (Apply Either_Sym0 (Let6989586621679325014LeftSym1 a_6989586621679325008)) (Let6989586621679325014RightSym1 a_6989586621679325008))) (Apply (Apply Tuple2Sym0 NilSym0) NilSym0)) a_6989586621679325008

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

type family IsLeft (a :: Either a b) :: Bool 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 :: Either a b) :: Bool 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 :: (~>) a (Either (a :: Type) (b :: Type)) Source #

Instances

Instances details

SingI (LeftSym0 :: TyFun a (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing LeftSym0
SuppressUnusedWarnings (LeftSym0 :: TyFun a (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (LeftSym0 :: TyFun a (Either a b) -> Type) (a6989586621679042156 :: a) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (LeftSym0 :: TyFun a (Either a b) -> Type) (a6989586621679042156 :: a) = 'Left a6989586621679042156 :: Either a b

type family LeftSym1 (a6989586621679042156 :: a) :: Either (a :: Type) (b :: Type) where ... Source #

Equations

LeftSym1 a6989586621679042156 = 'Left a6989586621679042156

data RightSym0 :: (~>) b (Either (a :: Type) (b :: Type)) Source #

Instances

Instances details

SingI (RightSym0 :: TyFun b (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods sing :: Sing RightSym0
SuppressUnusedWarnings (RightSym0 :: TyFun b (Either a b) -> Type) Source #
Instance details Defined in Data.Singletons.Base.Instances Methods suppressUnusedWarnings :: () #
type Apply (RightSym0 :: TyFun b (Either a b) -> Type) (a6989586621679042158 :: b) Source #
Instance details Defined in Data.Singletons.Base.Instances type Apply (RightSym0 :: TyFun b (Either a b) -> Type) (a6989586621679042158 :: b) = 'Right a6989586621679042158 :: Either a b

type family RightSym1 (a6989586621679042158 :: b) :: Either (a :: Type) (b :: Type) where ... Source #

Equations

RightSym1 a6989586621679042158 = 'Right a6989586621679042158

data Either_Sym0 :: (~>) ((~>) a c) ((~>) ((~>) b c) ((~>) (Either a b) c)) Source #

Instances

Instances details

SingI (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods sing :: Sing Either_Sym0
SuppressUnusedWarnings (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) (a6989586621679322752 :: a ~> c) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) (a6989586621679322752 :: a ~> c) = Either_Sym1 a6989586621679322752 :: TyFun (b ~> c) (Either a b ~> c) -> Type

data Either_Sym1 (a6989586621679322752 :: (~>) a c) :: (~>) ((~>) b c) ((~>) (Either a b) c) Source #

Instances

Instances details

SingI1 (Either_Sym1 :: (a ~> c) -> TyFun (b ~> c) (Either a b ~> c) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (Either_Sym1 x)
SingI d => SingI (Either_Sym1 d :: TyFun (b ~> c) (Either a b ~> c) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods sing :: Sing (Either_Sym1 d)
SuppressUnusedWarnings (Either_Sym1 a6989586621679322752 :: TyFun (b ~> c) (Either a b ~> c) -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym1 a6989586621679322752 :: TyFun (b ~> c) (Either a b ~> c) -> Type) (a6989586621679322753 :: b ~> c) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym1 a6989586621679322752 :: TyFun (b ~> c) (Either a b ~> c) -> Type) (a6989586621679322753 :: b ~> c) = Either_Sym2 a6989586621679322752 a6989586621679322753

data Either_Sym2 (a6989586621679322752 :: (~>) a c) (a6989586621679322753 :: (~>) b c) :: (~>) (Either a b) c Source #

Instances

Instances details

SingI2 (Either_Sym2 :: (a ~> c) -> (b ~> c) -> TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods liftSing2 :: forall (x :: k1) (y :: k2). Sing x -> Sing y -> Sing (Either_Sym2 x y)
SingI d => SingI1 (Either_Sym2 d :: (b ~> c) -> TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods liftSing :: forall (x :: k1). Sing x -> Sing (Either_Sym2 d x)
(SingI d1, SingI d2) => SingI (Either_Sym2 d1 d2 :: TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods sing :: Sing (Either_Sym2 d1 d2)
SuppressUnusedWarnings (Either_Sym2 a6989586621679322752 a6989586621679322753 :: TyFun (Either a b) c -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym2 a6989586621679322752 a6989586621679322753 :: TyFun (Either a b) c -> Type) (a6989586621679322754 :: Either a b) Source #
Instance details Defined in Data.Either.Singletons type Apply (Either_Sym2 a6989586621679322752 a6989586621679322753 :: TyFun (Either a b) c -> Type) (a6989586621679322754 :: Either a b) = Either_ a6989586621679322752 a6989586621679322753 a6989586621679322754

type family Either_Sym3 (a6989586621679322752 :: (~>) a c) (a6989586621679322753 :: (~>) b c) (a6989586621679322754 :: Either a b) :: c where ... Source #

Equations

Either_Sym3 a6989586621679322752 a6989586621679322753 a6989586621679322754 = Either_ a6989586621679322752 a6989586621679322753 a6989586621679322754

data LeftsSym0 :: (~>) [Either a b] [a] Source #

Instances

Instances details

SingI (LeftsSym0 :: TyFun [Either a b] [a] -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods sing :: Sing LeftsSym0
SuppressUnusedWarnings (LeftsSym0 :: TyFun [Either a b] [a] -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> Type) (a6989586621679325035 :: [Either a b]) Source #
Instance details Defined in Data.Either.Singletons type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> Type) (a6989586621679325035 :: [Either a b]) = Lefts a6989586621679325035

type family LeftsSym1 (a6989586621679325035 :: [Either a b]) :: [a] where ... Source #

Equations

LeftsSym1 a6989586621679325035 = Lefts a6989586621679325035

data RightsSym0 :: (~>) [Either a b] [b] Source #

Instances

Instances details

SingI (RightsSym0 :: TyFun [Either a b] [b] -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods sing :: Sing RightsSym0
SuppressUnusedWarnings (RightsSym0 :: TyFun [Either a b] [b] -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (RightsSym0 :: TyFun [Either a b] [b] -> Type) (a6989586621679325029 :: [Either a b]) Source #
Instance details Defined in Data.Either.Singletons type Apply (RightsSym0 :: TyFun [Either a b] [b] -> Type) (a6989586621679325029 :: [Either a b]) = Rights a6989586621679325029

type family RightsSym1 (a6989586621679325029 :: [Either a b]) :: [b] where ... Source #

Equations

RightsSym1 a6989586621679325029 = Rights a6989586621679325029

data IsLeftSym0 :: (~>) (Either a b) Bool Source #

Instances

Instances details

SingI (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods sing :: Sing IsLeftSym0
SuppressUnusedWarnings (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621679325007 :: Either a b) Source #
Instance details Defined in Data.Either.Singletons type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621679325007 :: Either a b) = IsLeft a6989586621679325007

type family IsLeftSym1 (a6989586621679325007 :: Either a b) :: Bool where ... Source #

Equations

IsLeftSym1 a6989586621679325007 = IsLeft a6989586621679325007

data IsRightSym0 :: (~>) (Either a b) Bool Source #

Instances

Instances details

SingI (IsRightSym0 :: TyFun (Either a b) Bool -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods sing :: Sing IsRightSym0
SuppressUnusedWarnings (IsRightSym0 :: TyFun (Either a b) Bool -> Type) Source #
Instance details Defined in Data.Either.Singletons Methods suppressUnusedWarnings :: () #
type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621679325004 :: Either a b) Source #
Instance details Defined in Data.Either.Singletons type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621679325004 :: Either a b) = IsRight a6989586621679325004

type family IsRightSym1 (a6989586621679325004 :: Either a b) :: Bool where ... Source #

Equations

IsRightSym1 a6989586621679325004 = IsRight a6989586621679325004

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`