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 a6989586621679083190 (Either a6989586621679083190 b6989586621679083191))
type LeftSym1 (t :: a6989586621679083190) = Left t
data RightSym0 (l :: TyFun b6989586621679083191 (Either a6989586621679083190 b6989586621679083191))
type RightSym1 (t :: b6989586621679083191) = Right t
data Either_Sym0 (l :: TyFun (TyFun a6989586621679940661 c6989586621679940662 -> Type) (TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type) -> Type))
data Either_Sym1 (l :: TyFun a6989586621679940661 c6989586621679940662 -> Type) (l :: TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type))
data Either_Sym2 (l :: TyFun a6989586621679940661 c6989586621679940662 -> Type) (l :: TyFun b6989586621679940663 c6989586621679940662 -> Type) (l :: TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662)
type Either_Sym3 (t :: TyFun a6989586621679940661 c6989586621679940662 -> Type) (t :: TyFun b6989586621679940663 c6989586621679940662 -> Type) (t :: Either a6989586621679940661 b6989586621679940663) = Either_ t t t
data LeftsSym0 (l :: TyFun [Either a6989586621679941797 b6989586621679941798] [a6989586621679941797])
type LeftsSym1 (t :: [Either a6989586621679941797 b6989586621679941798]) = Lefts t
data RightsSym0 (l :: TyFun [Either a6989586621679941795 b6989586621679941796] [b6989586621679941796])
type RightsSym1 (t :: [Either a6989586621679941795 b6989586621679941796]) = Rights t
data IsLeftSym0 (l :: TyFun (Either a6989586621679941791 b6989586621679941792) Bool)
type IsLeftSym1 (t :: Either a6989586621679941791 b6989586621679941792) = IsLeft t
data IsRightSym0 (l :: TyFun (Either a6989586621679941789 b6989586621679941790) Bool)
type IsRightSym1 (t :: Either a6989586621679941789 b6989586621679941790) = 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_6989586621679942164 = Apply (Apply (Apply FoldrSym0 (Apply (Apply Either_Sym0 (Let6989586621679942171LeftSym1 a_6989586621679942164)) (Let6989586621679942171RightSym1 a_6989586621679942164))) (Apply (Apply Tuple2Sym0 '[]) '[])) a_6989586621679942164

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 a6989586621679083190 (Either a6989586621679083190 b6989586621679083191)) #

Instances

SuppressUnusedWarnings (LeftSym0 :: TyFun a6989586621679083190 (Either a6989586621679083190 b6989586621679083191) -> *) #
Instance details Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () #
type Apply (LeftSym0 :: TyFun a (Either a b6989586621679083191) -> *) (l :: a) #
Instance details Defined in Data.Singletons.Prelude.Instances type Apply (LeftSym0 :: TyFun a (Either a b6989586621679083191) -> *) (l :: a) = (Left l :: Either a b6989586621679083191)

type LeftSym1 (t :: a6989586621679083190) = Left t #

data RightSym0 (l :: TyFun b6989586621679083191 (Either a6989586621679083190 b6989586621679083191)) #

Instances

SuppressUnusedWarnings (RightSym0 :: TyFun b6989586621679083191 (Either a6989586621679083190 b6989586621679083191) -> *) #
Instance details Defined in Data.Singletons.Prelude.Instances Methods suppressUnusedWarnings :: () #
type Apply (RightSym0 :: TyFun b (Either a6989586621679083190 b) -> *) (l :: b) #
Instance details Defined in Data.Singletons.Prelude.Instances type Apply (RightSym0 :: TyFun b (Either a6989586621679083190 b) -> *) (l :: b) = (Right l :: Either a6989586621679083190 b)

type RightSym1 (t :: b6989586621679083191) = Right t #

data Either_Sym0 (l :: TyFun (TyFun a6989586621679940661 c6989586621679940662 -> Type) (TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type) -> Type)) #

Instances

SuppressUnusedWarnings (Either_Sym0 :: TyFun (TyFun a6989586621679940661 c6989586621679940662 -> Type) (TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type) -> Type) -> *) #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym0 :: TyFun (TyFun a6989586621679940661 c6989586621679940662 -> Type) (TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type) -> Type) -> *) (l :: TyFun a6989586621679940661 c6989586621679940662 -> Type) #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym0 :: TyFun (TyFun a6989586621679940661 c6989586621679940662 -> Type) (TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type) -> Type) -> ) (l :: TyFun a6989586621679940661 c6989586621679940662 -> Type) = (Either_Sym1 l :: TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type) -> )

data Either_Sym1 (l :: TyFun a6989586621679940661 c6989586621679940662 -> Type) (l :: TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type)) #

Instances

SuppressUnusedWarnings (Either_Sym1 :: (TyFun a6989586621679940661 c6989586621679940662 -> Type) -> TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type) -> *) #
Instance details Defined in Data.Singletons.Prelude.Either Methods suppressUnusedWarnings :: () #
type Apply (Either_Sym1 l1 :: TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type) -> *) (l2 :: TyFun b6989586621679940663 c6989586621679940662 -> Type) #
Instance details Defined in Data.Singletons.Prelude.Either type Apply (Either_Sym1 l1 :: TyFun (TyFun b6989586621679940663 c6989586621679940662 -> Type) (TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> Type) -> *) (l2 :: TyFun b6989586621679940663 c6989586621679940662 -> Type) = Either_Sym2 l1 l2

data Either_Sym2 (l :: TyFun a6989586621679940661 c6989586621679940662 -> Type) (l :: TyFun b6989586621679940663 c6989586621679940662 -> Type) (l :: TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662) #

Instances

SuppressUnusedWarnings (Either_Sym2 :: (TyFun a6989586621679940661 c6989586621679940662 -> Type) -> (TyFun b6989586621679940663 c6989586621679940662 -> Type) -> TyFun (Either a6989586621679940661 b6989586621679940663) c6989586621679940662 -> *) #
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 a6989586621679940661 c6989586621679940662 -> Type) (t :: TyFun b6989586621679940663 c6989586621679940662 -> Type) (t :: Either a6989586621679940661 b6989586621679940663) = Either_ t t t #

data LeftsSym0 (l :: TyFun [Either a6989586621679941797 b6989586621679941798] [a6989586621679941797]) #

Instances

SuppressUnusedWarnings (LeftsSym0 :: TyFun [Either a6989586621679941797 b6989586621679941798] [a6989586621679941797] -> *) #
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 a6989586621679941797 b6989586621679941798]) = Lefts t #

data RightsSym0 (l :: TyFun [Either a6989586621679941795 b6989586621679941796] [b6989586621679941796]) #

Instances

SuppressUnusedWarnings (RightsSym0 :: TyFun [Either a6989586621679941795 b6989586621679941796] [b6989586621679941796] -> *) #
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 a6989586621679941795 b6989586621679941796]) = Rights t #

data IsLeftSym0 (l :: TyFun (Either a6989586621679941791 b6989586621679941792) Bool) #

Instances

SuppressUnusedWarnings (IsLeftSym0 :: TyFun (Either a6989586621679941791 b6989586621679941792) 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 a6989586621679941791 b6989586621679941792) = IsLeft t #

data IsRightSym0 (l :: TyFun (Either a6989586621679941789 b6989586621679941790) Bool) #

Instances

SuppressUnusedWarnings (IsRightSym0 :: TyFun (Either a6989586621679941789 b6989586621679941790) 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 a6989586621679941789 b6989586621679941790) = IsRight t #

Promoted functions from Data.Either

Defunctionalization symbols

Promoted functions from `Data.Either`