| 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
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 :: k -> Type
- data SEither :: forall a b. Either a b -> Type where
- 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 :: forall (a6989586621679093843 :: Type) (b6989586621679093844 :: Type). (~>) a6989586621679093843 (Either (a6989586621679093843 :: Type) (b6989586621679093844 :: Type))
- type LeftSym1 (t6989586621679315200 :: a6989586621679093843) = 'Left t6989586621679315200
- data RightSym0 :: forall (b6989586621679093844 :: Type) (a6989586621679093843 :: Type). (~>) b6989586621679093844 (Either (a6989586621679093843 :: Type) (b6989586621679093844 :: Type))
- type RightSym1 (t6989586621679315202 :: b6989586621679093844) = 'Right t6989586621679315202
- data Either_Sym0 :: forall a6989586621680470035 c6989586621680470036 b6989586621680470037. (~>) ((~>) a6989586621680470035 c6989586621680470036) ((~>) ((~>) b6989586621680470037 c6989586621680470036) ((~>) (Either a6989586621680470035 b6989586621680470037) c6989586621680470036))
- data Either_Sym1 (a6989586621680470071 :: (~>) a6989586621680470035 c6989586621680470036) :: forall b6989586621680470037. (~>) ((~>) b6989586621680470037 c6989586621680470036) ((~>) (Either a6989586621680470035 b6989586621680470037) c6989586621680470036)
- data Either_Sym2 (a6989586621680470071 :: (~>) a6989586621680470035 c6989586621680470036) (a6989586621680470072 :: (~>) b6989586621680470037 c6989586621680470036) :: (~>) (Either a6989586621680470035 b6989586621680470037) c6989586621680470036
- type Either_Sym3 (a6989586621680470071 :: (~>) a6989586621680470035 c6989586621680470036) (a6989586621680470072 :: (~>) b6989586621680470037 c6989586621680470036) (a6989586621680470073 :: Either a6989586621680470035 b6989586621680470037) = Either_ a6989586621680470071 a6989586621680470072 a6989586621680470073
- data LeftsSym0 :: forall a6989586621680471517 b6989586621680471518. (~>) [Either a6989586621680471517 b6989586621680471518] [a6989586621680471517]
- type LeftsSym1 (a6989586621680471789 :: [Either a6989586621680471517 b6989586621680471518]) = Lefts a6989586621680471789
- data RightsSym0 :: forall a6989586621680471515 b6989586621680471516. (~>) [Either a6989586621680471515 b6989586621680471516] [b6989586621680471516]
- type RightsSym1 (a6989586621680471784 :: [Either a6989586621680471515 b6989586621680471516]) = Rights a6989586621680471784
- data IsLeftSym0 :: forall a6989586621680471511 b6989586621680471512. (~>) (Either a6989586621680471511 b6989586621680471512) Bool
- type IsLeftSym1 (a6989586621680471760 :: Either a6989586621680471511 b6989586621680471512) = IsLeft a6989586621680471760
- data IsRightSym0 :: forall a6989586621680471509 b6989586621680471510. (~>) (Either a6989586621680471509 b6989586621680471510) Bool
- type IsRightSym1 (a6989586621680471758 :: Either a6989586621680471509 b6989586621680471510) = IsRight a6989586621680471758
The Either singleton
type family Sing :: k -> Type Source #
The singleton kind-indexed type family.
Instances
data SEither :: forall a b. Either a b -> Type where Source #
Constructors
| SLeft :: forall a (n :: a). (Sing (n :: a)) -> SEither ('Left n) | |
| SRight :: forall b (n :: b). (Sing (n :: b)) -> SEither ('Right n) |
Instances
| (SDecide a, SDecide b) => TestCoercion (SEither :: Either a b -> Type) Source # | |
Defined in Data.Singletons.Prelude.Instances | |
| (SDecide a, SDecide b) => TestEquality (SEither :: Either a b -> Type) Source # | |
Defined in Data.Singletons.Prelude.Instances | |
| (ShowSing a, ShowSing b) => Show (SEither z) Source # | |
Singletons from Data.Either
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 PartitionEithers (a :: [Either a b]) :: ([a], [b]) where ... Source #
Equations
| PartitionEithers a_6989586621680471762 = Apply (Apply (Apply FoldrSym0 (Apply (Apply Either_Sym0 (Let6989586621680471767LeftSym1 a_6989586621680471762)) (Let6989586621680471767RightSym1 a_6989586621680471762))) (Apply (Apply Tuple2Sym0 '[]) '[])) a_6989586621680471762 |
sPartitionEithers :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply PartitionEithersSym0 t :: ([a], [b])) Source #
Defunctionalization symbols
data LeftSym0 :: forall (a6989586621679093843 :: Type) (b6989586621679093844 :: Type). (~>) a6989586621679093843 (Either (a6989586621679093843 :: Type) (b6989586621679093844 :: Type)) Source #
Instances
| SingI (LeftSym0 :: TyFun a (Either a b) -> Type) Source # | |
| SuppressUnusedWarnings (LeftSym0 :: TyFun a6989586621679093843 (Either a6989586621679093843 b6989586621679093844) -> Type) Source # | |
Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () Source # | |
| type Apply (LeftSym0 :: TyFun a (Either a b6989586621679093844) -> Type) (t6989586621679315200 :: a) Source # | |
data RightSym0 :: forall (b6989586621679093844 :: Type) (a6989586621679093843 :: Type). (~>) b6989586621679093844 (Either (a6989586621679093843 :: Type) (b6989586621679093844 :: Type)) Source #
Instances
| SingI (RightSym0 :: TyFun b (Either a b) -> Type) Source # | |
| SuppressUnusedWarnings (RightSym0 :: TyFun b6989586621679093844 (Either a6989586621679093843 b6989586621679093844) -> Type) Source # | |
Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () Source # | |
| type Apply (RightSym0 :: TyFun b (Either a6989586621679093843 b) -> Type) (t6989586621679315202 :: b) Source # | |
type RightSym1 (t6989586621679315202 :: b6989586621679093844) = 'Right t6989586621679315202 Source #
data Either_Sym0 :: forall a6989586621680470035 c6989586621680470036 b6989586621680470037. (~>) ((~>) a6989586621680470035 c6989586621680470036) ((~>) ((~>) b6989586621680470037 c6989586621680470036) ((~>) (Either a6989586621680470035 b6989586621680470037) c6989586621680470036)) Source #
Instances
| SingI (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods sing :: Sing Either_Sym0 Source # | |
| SuppressUnusedWarnings (Either_Sym0 :: TyFun (a6989586621680470035 ~> c6989586621680470036) ((b6989586621680470037 ~> c6989586621680470036) ~> (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036)) -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (Either_Sym0 :: TyFun (a6989586621680470035 ~> c6989586621680470036) ((b6989586621680470037 ~> c6989586621680470036) ~> (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036)) -> Type) (a6989586621680470071 :: a6989586621680470035 ~> c6989586621680470036) Source # | |
Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym0 :: TyFun (a6989586621680470035 ~> c6989586621680470036) ((b6989586621680470037 ~> c6989586621680470036) ~> (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036)) -> Type) (a6989586621680470071 :: a6989586621680470035 ~> c6989586621680470036) = Either_Sym1 a6989586621680470071 b6989586621680470037 :: TyFun (b6989586621680470037 ~> c6989586621680470036) (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036) -> Type | |
data Either_Sym1 (a6989586621680470071 :: (~>) a6989586621680470035 c6989586621680470036) :: forall b6989586621680470037. (~>) ((~>) b6989586621680470037 c6989586621680470036) ((~>) (Either a6989586621680470035 b6989586621680470037) c6989586621680470036) Source #
Instances
| SingI d => SingI (Either_Sym1 d b :: TyFun (b ~> c) (Either a b ~> c) -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods sing :: Sing (Either_Sym1 d b) Source # | |
| SuppressUnusedWarnings (Either_Sym1 a6989586621680470071 b6989586621680470037 :: TyFun (b6989586621680470037 ~> c6989586621680470036) (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036) -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (Either_Sym1 a6989586621680470071 b6989586621680470037 :: TyFun (b6989586621680470037 ~> c6989586621680470036) (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036) -> Type) (a6989586621680470072 :: b6989586621680470037 ~> c6989586621680470036) Source # | |
Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym1 a6989586621680470071 b6989586621680470037 :: TyFun (b6989586621680470037 ~> c6989586621680470036) (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036) -> Type) (a6989586621680470072 :: b6989586621680470037 ~> c6989586621680470036) = Either_Sym2 a6989586621680470071 a6989586621680470072 | |
data Either_Sym2 (a6989586621680470071 :: (~>) a6989586621680470035 c6989586621680470036) (a6989586621680470072 :: (~>) b6989586621680470037 c6989586621680470036) :: (~>) (Either a6989586621680470035 b6989586621680470037) c6989586621680470036 Source #
Instances
| (SingI d1, SingI d2) => SingI (Either_Sym2 d1 d2 :: TyFun (Either a b) c -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods sing :: Sing (Either_Sym2 d1 d2) Source # | |
| SuppressUnusedWarnings (Either_Sym2 a6989586621680470072 a6989586621680470071 :: TyFun (Either a6989586621680470035 b6989586621680470037) c6989586621680470036 -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (Either_Sym2 a6989586621680470072 a6989586621680470071 :: TyFun (Either a b) c -> Type) (a6989586621680470073 :: Either a b) Source # | |
Defined in Data.Singletons.Prelude.Either | |
type Either_Sym3 (a6989586621680470071 :: (~>) a6989586621680470035 c6989586621680470036) (a6989586621680470072 :: (~>) b6989586621680470037 c6989586621680470036) (a6989586621680470073 :: Either a6989586621680470035 b6989586621680470037) = Either_ a6989586621680470071 a6989586621680470072 a6989586621680470073 Source #
data LeftsSym0 :: forall a6989586621680471517 b6989586621680471518. (~>) [Either a6989586621680471517 b6989586621680471518] [a6989586621680471517] Source #
Instances
| SingI (LeftsSym0 :: TyFun [Either a b] [a] -> Type) Source # | |
| SuppressUnusedWarnings (LeftsSym0 :: TyFun [Either a6989586621680471517 b6989586621680471518] [a6989586621680471517] -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> Type) (a6989586621680471789 :: [Either a b]) Source # | |
type LeftsSym1 (a6989586621680471789 :: [Either a6989586621680471517 b6989586621680471518]) = Lefts a6989586621680471789 Source #
data RightsSym0 :: forall a6989586621680471515 b6989586621680471516. (~>) [Either a6989586621680471515 b6989586621680471516] [b6989586621680471516] Source #
Instances
| SingI (RightsSym0 :: TyFun [Either a b] [b] -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods sing :: Sing RightsSym0 Source # | |
| SuppressUnusedWarnings (RightsSym0 :: TyFun [Either a6989586621680471515 b6989586621680471516] [b6989586621680471516] -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (RightsSym0 :: TyFun [Either a b] [b] -> Type) (a6989586621680471784 :: [Either a b]) Source # | |
Defined in Data.Singletons.Prelude.Either | |
type RightsSym1 (a6989586621680471784 :: [Either a6989586621680471515 b6989586621680471516]) = Rights a6989586621680471784 Source #
data IsLeftSym0 :: forall a6989586621680471511 b6989586621680471512. (~>) (Either a6989586621680471511 b6989586621680471512) Bool Source #
Instances
| SingI (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods sing :: Sing IsLeftSym0 Source # | |
| SuppressUnusedWarnings (IsLeftSym0 :: TyFun (Either a6989586621680471511 b6989586621680471512) Bool -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680471760 :: Either a b) Source # | |
Defined in Data.Singletons.Prelude.Either | |
type IsLeftSym1 (a6989586621680471760 :: Either a6989586621680471511 b6989586621680471512) = IsLeft a6989586621680471760 Source #
data IsRightSym0 :: forall a6989586621680471509 b6989586621680471510. (~>) (Either a6989586621680471509 b6989586621680471510) Bool Source #
Instances
| SingI (IsRightSym0 :: TyFun (Either a b) Bool -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods sing :: Sing IsRightSym0 Source # | |
| SuppressUnusedWarnings (IsRightSym0 :: TyFun (Either a6989586621680471509 b6989586621680471510) Bool -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680471758 :: Either a b) Source # | |
Defined in Data.Singletons.Prelude.Either | |
type IsRightSym1 (a6989586621680471758 :: Either a6989586621680471509 b6989586621680471510) = IsRight a6989586621680471758 Source #