| 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 (a6989586621679086099 :: Type) (b6989586621679086100 :: Type). (~>) a6989586621679086099 (Either (a6989586621679086099 :: Type) (b6989586621679086100 :: Type))
- type LeftSym1 (t6989586621679310971 :: a6989586621679086099) = 'Left t6989586621679310971
- data RightSym0 :: forall (b6989586621679086100 :: Type) (a6989586621679086099 :: Type). (~>) b6989586621679086100 (Either (a6989586621679086099 :: Type) (b6989586621679086100 :: Type))
- type RightSym1 (t6989586621679310973 :: b6989586621679086100) = 'Right t6989586621679310973
- data Either_Sym0 :: forall a6989586621680466161 c6989586621680466162 b6989586621680466163. (~>) ((~>) a6989586621680466161 c6989586621680466162) ((~>) ((~>) b6989586621680466163 c6989586621680466162) ((~>) (Either a6989586621680466161 b6989586621680466163) c6989586621680466162))
- data Either_Sym1 (a6989586621680466197 :: (~>) a6989586621680466161 c6989586621680466162) :: forall b6989586621680466163. (~>) ((~>) b6989586621680466163 c6989586621680466162) ((~>) (Either a6989586621680466161 b6989586621680466163) c6989586621680466162)
- data Either_Sym2 (a6989586621680466197 :: (~>) a6989586621680466161 c6989586621680466162) (a6989586621680466198 :: (~>) b6989586621680466163 c6989586621680466162) :: (~>) (Either a6989586621680466161 b6989586621680466163) c6989586621680466162
- type Either_Sym3 (a6989586621680466197 :: (~>) a6989586621680466161 c6989586621680466162) (a6989586621680466198 :: (~>) b6989586621680466163 c6989586621680466162) (a6989586621680466199 :: Either a6989586621680466161 b6989586621680466163) = Either_ a6989586621680466197 a6989586621680466198 a6989586621680466199
- data LeftsSym0 :: forall a6989586621680467643 b6989586621680467644. (~>) [Either a6989586621680467643 b6989586621680467644] [a6989586621680467643]
- type LeftsSym1 (a6989586621680467915 :: [Either a6989586621680467643 b6989586621680467644]) = Lefts a6989586621680467915
- data RightsSym0 :: forall a6989586621680467641 b6989586621680467642. (~>) [Either a6989586621680467641 b6989586621680467642] [b6989586621680467642]
- type RightsSym1 (a6989586621680467910 :: [Either a6989586621680467641 b6989586621680467642]) = Rights a6989586621680467910
- data IsLeftSym0 :: forall a6989586621680467637 b6989586621680467638. (~>) (Either a6989586621680467637 b6989586621680467638) Bool
- type IsLeftSym1 (a6989586621680467886 :: Either a6989586621680467637 b6989586621680467638) = IsLeft a6989586621680467886
- data IsRightSym0 :: forall a6989586621680467635 b6989586621680467636. (~>) (Either a6989586621680467635 b6989586621680467636) Bool
- type IsRightSym1 (a6989586621680467884 :: Either a6989586621680467635 b6989586621680467636) = IsRight a6989586621680467884
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 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 # | |
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) | |
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 Rights (a :: [Either a b]) :: [b] where ... Source #
Equations
| Rights '[] = '[] | |
| Rights ('(:) ('Left _) xs) = Apply RightsSym0 xs | |
| Rights ('(:) ('Right x) xs) = Apply (Apply (:@#@$) x) (Apply RightsSym0 xs) |
type family PartitionEithers (a :: [Either a b]) :: ([a], [b]) where ... Source #
Equations
| PartitionEithers a_6989586621680467888 = Apply (Apply (Apply FoldrSym0 (Apply (Apply Either_Sym0 (Let6989586621680467893LeftSym1 a_6989586621680467888)) (Let6989586621680467893RightSym1 a_6989586621680467888))) (Apply (Apply Tuple2Sym0 '[]) '[])) a_6989586621680467888 |
sPartitionEithers :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply PartitionEithersSym0 t :: ([a], [b])) Source #
Defunctionalization symbols
data LeftSym0 :: forall (a6989586621679086099 :: Type) (b6989586621679086100 :: Type). (~>) a6989586621679086099 (Either (a6989586621679086099 :: Type) (b6989586621679086100 :: Type)) Source #
Instances
| SingI (LeftSym0 :: TyFun a (Either a b) -> Type) Source # | |
| SuppressUnusedWarnings (LeftSym0 :: TyFun a6989586621679086099 (Either a6989586621679086099 b6989586621679086100) -> Type) Source # | |
Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () Source # | |
| type Apply (LeftSym0 :: TyFun a (Either a b6989586621679086100) -> Type) (t6989586621679310971 :: a) Source # | |
Defined in Data.Singletons.Prelude.Instances | |
data RightSym0 :: forall (b6989586621679086100 :: Type) (a6989586621679086099 :: Type). (~>) b6989586621679086100 (Either (a6989586621679086099 :: Type) (b6989586621679086100 :: Type)) Source #
Instances
| SingI (RightSym0 :: TyFun b (Either a b) -> Type) Source # | |
| SuppressUnusedWarnings (RightSym0 :: TyFun b6989586621679086100 (Either a6989586621679086099 b6989586621679086100) -> Type) Source # | |
Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () Source # | |
| type Apply (RightSym0 :: TyFun b (Either a6989586621679086099 b) -> Type) (t6989586621679310973 :: b) Source # | |
Defined in Data.Singletons.Prelude.Instances | |
type RightSym1 (t6989586621679310973 :: b6989586621679086100) = 'Right t6989586621679310973 Source #
data Either_Sym0 :: forall a6989586621680466161 c6989586621680466162 b6989586621680466163. (~>) ((~>) a6989586621680466161 c6989586621680466162) ((~>) ((~>) b6989586621680466163 c6989586621680466162) ((~>) (Either a6989586621680466161 b6989586621680466163) c6989586621680466162)) 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 (a6989586621680466161 ~> c6989586621680466162) ((b6989586621680466163 ~> c6989586621680466162) ~> (Either a6989586621680466161 b6989586621680466163 ~> c6989586621680466162)) -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (Either_Sym0 :: TyFun (a6989586621680466161 ~> c6989586621680466162) ((b6989586621680466163 ~> c6989586621680466162) ~> (Either a6989586621680466161 b6989586621680466163 ~> c6989586621680466162)) -> Type) (a6989586621680466197 :: a6989586621680466161 ~> c6989586621680466162) Source # | |
Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym0 :: TyFun (a6989586621680466161 ~> c6989586621680466162) ((b6989586621680466163 ~> c6989586621680466162) ~> (Either a6989586621680466161 b6989586621680466163 ~> c6989586621680466162)) -> Type) (a6989586621680466197 :: a6989586621680466161 ~> c6989586621680466162) = Either_Sym1 a6989586621680466197 b6989586621680466163 :: TyFun (b6989586621680466163 ~> c6989586621680466162) (Either a6989586621680466161 b6989586621680466163 ~> c6989586621680466162) -> Type | |
data Either_Sym1 (a6989586621680466197 :: (~>) a6989586621680466161 c6989586621680466162) :: forall b6989586621680466163. (~>) ((~>) b6989586621680466163 c6989586621680466162) ((~>) (Either a6989586621680466161 b6989586621680466163) c6989586621680466162) 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 a6989586621680466197 b6989586621680466163 :: TyFun (b6989586621680466163 ~> c6989586621680466162) (Either a6989586621680466161 b6989586621680466163 ~> c6989586621680466162) -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (Either_Sym1 a6989586621680466197 b6989586621680466163 :: TyFun (b6989586621680466163 ~> c6989586621680466162) (Either a6989586621680466161 b6989586621680466163 ~> c6989586621680466162) -> Type) (a6989586621680466198 :: b6989586621680466163 ~> c6989586621680466162) Source # | |
Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym1 a6989586621680466197 b6989586621680466163 :: TyFun (b6989586621680466163 ~> c6989586621680466162) (Either a6989586621680466161 b6989586621680466163 ~> c6989586621680466162) -> Type) (a6989586621680466198 :: b6989586621680466163 ~> c6989586621680466162) = Either_Sym2 a6989586621680466197 a6989586621680466198 | |
data Either_Sym2 (a6989586621680466197 :: (~>) a6989586621680466161 c6989586621680466162) (a6989586621680466198 :: (~>) b6989586621680466163 c6989586621680466162) :: (~>) (Either a6989586621680466161 b6989586621680466163) c6989586621680466162 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 a6989586621680466198 a6989586621680466197 :: TyFun (Either a6989586621680466161 b6989586621680466163) c6989586621680466162 -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (Either_Sym2 a6989586621680466198 a6989586621680466197 :: TyFun (Either a b) c -> Type) (a6989586621680466199 :: Either a b) Source # | |
Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym2 a6989586621680466198 a6989586621680466197 :: TyFun (Either a b) c -> Type) (a6989586621680466199 :: Either a b) = Either_ a6989586621680466198 a6989586621680466197 a6989586621680466199 | |
type Either_Sym3 (a6989586621680466197 :: (~>) a6989586621680466161 c6989586621680466162) (a6989586621680466198 :: (~>) b6989586621680466163 c6989586621680466162) (a6989586621680466199 :: Either a6989586621680466161 b6989586621680466163) = Either_ a6989586621680466197 a6989586621680466198 a6989586621680466199 Source #
data LeftsSym0 :: forall a6989586621680467643 b6989586621680467644. (~>) [Either a6989586621680467643 b6989586621680467644] [a6989586621680467643] Source #
Instances
| SingI (LeftsSym0 :: TyFun [Either a b] [a] -> Type) Source # | |
| SuppressUnusedWarnings (LeftsSym0 :: TyFun [Either a6989586621680467643 b6989586621680467644] [a6989586621680467643] -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> Type) (a6989586621680467915 :: [Either a b]) Source # | |
Defined in Data.Singletons.Prelude.Either | |
type LeftsSym1 (a6989586621680467915 :: [Either a6989586621680467643 b6989586621680467644]) = Lefts a6989586621680467915 Source #
data RightsSym0 :: forall a6989586621680467641 b6989586621680467642. (~>) [Either a6989586621680467641 b6989586621680467642] [b6989586621680467642] 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 a6989586621680467641 b6989586621680467642] [b6989586621680467642] -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (RightsSym0 :: TyFun [Either a b] [b] -> Type) (a6989586621680467910 :: [Either a b]) Source # | |
Defined in Data.Singletons.Prelude.Either type Apply (RightsSym0 :: TyFun [Either a b] [b] -> Type) (a6989586621680467910 :: [Either a b]) = Rights a6989586621680467910 | |
type RightsSym1 (a6989586621680467910 :: [Either a6989586621680467641 b6989586621680467642]) = Rights a6989586621680467910 Source #
data IsLeftSym0 :: forall a6989586621680467637 b6989586621680467638. (~>) (Either a6989586621680467637 b6989586621680467638) 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 a6989586621680467637 b6989586621680467638) Bool -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680467886 :: Either a b) Source # | |
Defined in Data.Singletons.Prelude.Either type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680467886 :: Either a b) = IsLeft a6989586621680467886 | |
type IsLeftSym1 (a6989586621680467886 :: Either a6989586621680467637 b6989586621680467638) = IsLeft a6989586621680467886 Source #
data IsRightSym0 :: forall a6989586621680467635 b6989586621680467636. (~>) (Either a6989586621680467635 b6989586621680467636) 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 a6989586621680467635 b6989586621680467636) Bool -> Type) Source # | |
Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () Source # | |
| type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680467884 :: Either a b) Source # | |
Defined in Data.Singletons.Prelude.Either type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680467884 :: Either a b) = IsRight a6989586621680467884 | |
type IsRightSym1 (a6989586621680467884 :: Either a6989586621680467635 b6989586621680467636) = IsRight a6989586621680467884 Source #