Copyright	(C) 2014 Jan Stolarek
License	BSD-style (see LICENSE)
Maintainer	jan.stolarek@p.lodz.pl
Stability	experimental
Portability	non-portable
Safe Haskell	None
Language	Haskell2010

Data.Promotion.Prelude.Either

Contents

Promoted functions from Data.Either
Defunctionalization symbols

Description

Defines promoted functions and datatypes relating to Either, including a promoted 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

either_ :: (a -> c) -> (b -> c) -> Either a b -> c
type family Either_ (a :: TyFun a c -> Type) (a :: TyFun b c -> Type) (a :: Either a b) :: c where ...
type family Lefts (a :: [Either a b]) :: [a] where ...
type family Rights (a :: [Either a b]) :: [b] where ...
type family PartitionEithers (a :: [Either a b]) :: ([a], [b]) where ...
type family IsLeft (a :: Either a b) :: Bool where ...
type family IsRight (a :: Either a b) :: Bool where ...
data LeftSym0 (l :: TyFun a6989586621679083011 (Either a6989586621679083011 b6989586621679083012))
type LeftSym1 (t :: a6989586621679083011) = Left t
data RightSym0 (l :: TyFun b6989586621679083012 (Either a6989586621679083011 b6989586621679083012))
type RightSym1 (t :: b6989586621679083012) = Right t
data Either_Sym0 (l :: TyFun (TyFun a6989586621679939843 c6989586621679939844 -> Type) (TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type) -> Type))
data Either_Sym1 (l :: TyFun a6989586621679939843 c6989586621679939844 -> Type) (l :: TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type))
data Either_Sym2 (l :: TyFun a6989586621679939843 c6989586621679939844 -> Type) (l :: TyFun b6989586621679939845 c6989586621679939844 -> Type) (l :: TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844)
type Either_Sym3 (t :: TyFun a6989586621679939843 c6989586621679939844 -> Type) (t :: TyFun b6989586621679939845 c6989586621679939844 -> Type) (t :: Either a6989586621679939843 b6989586621679939845) = Either_ t t t
data LeftsSym0 (l :: TyFun [Either a6989586621679940979 b6989586621679940980] [a6989586621679940979])
type LeftsSym1 (t :: [Either a6989586621679940979 b6989586621679940980]) = Lefts t
data RightsSym0 (l :: TyFun [Either a6989586621679940977 b6989586621679940978] [b6989586621679940978])
type RightsSym1 (t :: [Either a6989586621679940977 b6989586621679940978]) = Rights t
data IsLeftSym0 (l :: TyFun (Either a6989586621679940973 b6989586621679940974) Bool)
type IsLeftSym1 (t :: Either a6989586621679940973 b6989586621679940974) = IsLeft t
data IsRightSym0 (l :: TyFun (Either a6989586621679940971 b6989586621679940972) Bool)
type IsRightSym1 (t :: Either a6989586621679940971 b6989586621679940972) = IsRight t

Promoted functions from `Data.Either`

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

type family Either_ (a :: TyFun a c -> Type) (a :: TyFun b c -> Type) (a :: Either a b) :: c where ... #

Equations

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

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 ... #

Equations

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

type family Rights (a :: [Either a b]) :: [b] where ... #

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 ... #

Equations

PartitionEithers a_6989586621679941346 = Apply (Apply (Apply FoldrSym0 (Apply (Apply Either_Sym0 (Let6989586621679941353LeftSym1 a_6989586621679941346)) (Let6989586621679941353RightSym1 a_6989586621679941346))) (Apply (Apply Tuple2Sym0 '[]) '[])) a_6989586621679941346

type family IsLeft (a :: Either a b) :: Bool where ... #

Equations

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

type family IsRight (a :: Either a b) :: Bool where ... #

Equations

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

Defunctionalization symbols

data LeftSym0 (l :: TyFun a6989586621679083011 (Either a6989586621679083011 b6989586621679083012)) #

Instances

SuppressUnusedWarnings (LeftSym0 :: TyFun a6989586621679083011 (Either a6989586621679083011 b6989586621679083012) -> *) #
Instance details Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () #
type Apply (LeftSym0 :: TyFun a (Either a b6989586621679083012) -> *) (l :: a) #
Instance details Defined in Data.Singletons.Prelude.Instances type Apply (LeftSym0 :: TyFun a (Either a b6989586621679083012) -> *) (l :: a) = (Left l :: Either a b6989586621679083012)

type LeftSym1 (t :: a6989586621679083011) = Left t #

data RightSym0 (l :: TyFun b6989586621679083012 (Either a6989586621679083011 b6989586621679083012)) #

Instances

SuppressUnusedWarnings (RightSym0 :: TyFun b6989586621679083012 (Either a6989586621679083011 b6989586621679083012) -> *) #
Instance details Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () #
type Apply (RightSym0 :: TyFun b (Either a6989586621679083011 b) -> *) (l :: b) #
Instance details Defined in Data.Singletons.Prelude.Instances type Apply (RightSym0 :: TyFun b (Either a6989586621679083011 b) -> *) (l :: b) = (Right l :: Either a6989586621679083011 b)

type RightSym1 (t :: b6989586621679083012) = Right t #

data Either_Sym0 (l :: TyFun (TyFun a6989586621679939843 c6989586621679939844 -> Type) (TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type) -> Type)) #

Instances

SuppressUnusedWarnings (Either_Sym0 :: TyFun (TyFun a6989586621679939843 c6989586621679939844 -> Type) (TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type) -> Type) -> *) #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym0 :: TyFun (TyFun a6989586621679939843 c6989586621679939844 -> Type) (TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type) -> Type) -> *) (l :: TyFun a6989586621679939843 c6989586621679939844 -> Type) #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym0 :: TyFun (TyFun a6989586621679939843 c6989586621679939844 -> Type) (TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type) -> Type) -> ) (l :: TyFun a6989586621679939843 c6989586621679939844 -> Type) = (Either_Sym1 l :: TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type) -> )

data Either_Sym1 (l :: TyFun a6989586621679939843 c6989586621679939844 -> Type) (l :: TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type)) #

Instances

SuppressUnusedWarnings (Either_Sym1 :: (TyFun a6989586621679939843 c6989586621679939844 -> Type) -> TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type) -> *) #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym1 l1 :: TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type) -> *) (l2 :: TyFun b6989586621679939845 c6989586621679939844 -> Type) #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym1 l1 :: TyFun (TyFun b6989586621679939845 c6989586621679939844 -> Type) (TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> Type) -> *) (l2 :: TyFun b6989586621679939845 c6989586621679939844 -> Type) = Either_Sym2 l1 l2

data Either_Sym2 (l :: TyFun a6989586621679939843 c6989586621679939844 -> Type) (l :: TyFun b6989586621679939845 c6989586621679939844 -> Type) (l :: TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844) #

Instances

SuppressUnusedWarnings (Either_Sym2 :: (TyFun a6989586621679939843 c6989586621679939844 -> Type) -> (TyFun b6989586621679939845 c6989586621679939844 -> Type) -> TyFun (Either a6989586621679939843 b6989586621679939845) c6989586621679939844 -> *) #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym2 l1 l2 :: TyFun (Either a b) c -> *) (l3 :: Either a b) #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym2 l1 l2 :: TyFun (Either a b) c -> *) (l3 :: Either a b) = Either_ l1 l2 l3

type Either_Sym3 (t :: TyFun a6989586621679939843 c6989586621679939844 -> Type) (t :: TyFun b6989586621679939845 c6989586621679939844 -> Type) (t :: Either a6989586621679939843 b6989586621679939845) = Either_ t t t #

data LeftsSym0 (l :: TyFun [Either a6989586621679940979 b6989586621679940980] [a6989586621679940979]) #

Instances

SuppressUnusedWarnings (LeftsSym0 :: TyFun [Either a6989586621679940979 b6989586621679940980] [a6989586621679940979] -> *) #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () #
type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> *) (l :: [Either a b]) #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> *) (l :: [Either a b]) = Lefts l

type LeftsSym1 (t :: [Either a6989586621679940979 b6989586621679940980]) = Lefts t #

data RightsSym0 (l :: TyFun [Either a6989586621679940977 b6989586621679940978] [b6989586621679940978]) #

Instances

SuppressUnusedWarnings (RightsSym0 :: TyFun [Either a6989586621679940977 b6989586621679940978] [b6989586621679940978] -> *) #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () #
type Apply (RightsSym0 :: TyFun [Either a b] [b] -> *) (l :: [Either a b]) #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (RightsSym0 :: TyFun [Either a b] [b] -> *) (l :: [Either a b]) = Rights l

type RightsSym1 (t :: [Either a6989586621679940977 b6989586621679940978]) = Rights t #

data IsLeftSym0 (l :: TyFun (Either a6989586621679940973 b6989586621679940974) Bool) #

Instances

SuppressUnusedWarnings (IsLeftSym0 :: TyFun (Either a6989586621679940973 b6989586621679940974) Bool -> *) #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () #
type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) = IsLeft l

type IsLeftSym1 (t :: Either a6989586621679940973 b6989586621679940974) = IsLeft t #

data IsRightSym0 (l :: TyFun (Either a6989586621679940971 b6989586621679940972) Bool) #

Instances

SuppressUnusedWarnings (IsRightSym0 :: TyFun (Either a6989586621679940971 b6989586621679940972) Bool -> *) #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () #
type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) = IsRight l

type IsRightSym1 (t :: Either a6989586621679940971 b6989586621679940972) = IsRight t #

Promoted functions from Data.Either

Defunctionalization symbols

Promoted functions from `Data.Either`