singletons-2.4.1: A framework for generating singleton types

Copyright(C) 2014 Jan Stolarek
LicenseBSD-style (see LICENSE)
Maintainerjan.stolarek@p.lodz.pl
Stabilityexperimental
Portabilitynon-portable
Safe HaskellNone
LanguageHaskell2010

Data.Promotion.Prelude.Either

Contents

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

Promoted functions from Data.Either

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

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

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 ... Source #

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 ... 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_6989586621679916190 = Apply (Apply (Apply FoldrSym0 (Apply (Apply Either_Sym0 (Let6989586621679916197LeftSym1 a_6989586621679916190)) (Let6989586621679916197RightSym1 a_6989586621679916190))) (Apply (Apply Tuple2Sym0 '[]) '[])) a_6989586621679916190 

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

Equations

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

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

Equations

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

Defunctionalization symbols

data LeftSym0 (l :: TyFun a6989586621679081217 (Either a6989586621679081217 b6989586621679081218)) Source #

Instances
SuppressUnusedWarnings (LeftSym0 :: TyFun a6989586621679081217 (Either a6989586621679081217 b6989586621679081218) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (LeftSym0 :: TyFun a (Either a b6989586621679081218) -> *) (l :: a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (LeftSym0 :: TyFun a (Either a b6989586621679081218) -> *) (l :: a) = (Left l :: Either a b6989586621679081218)

type LeftSym1 (t :: a6989586621679081217) = Left t Source #

data RightSym0 (l :: TyFun b6989586621679081218 (Either a6989586621679081217 b6989586621679081218)) Source #

Instances
SuppressUnusedWarnings (RightSym0 :: TyFun b6989586621679081218 (Either a6989586621679081217 b6989586621679081218) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (RightSym0 :: TyFun b (Either a6989586621679081217 b) -> *) (l :: b) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (RightSym0 :: TyFun b (Either a6989586621679081217 b) -> *) (l :: b) = (Right l :: Either a6989586621679081217 b)

type RightSym1 (t :: b6989586621679081218) = Right t Source #

data Either_Sym0 (l :: TyFun (TyFun a6989586621679914687 c6989586621679914688 -> Type) (TyFun (TyFun b6989586621679914689 c6989586621679914688 -> Type) (TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688 -> Type) -> Type)) Source #

Instances
SuppressUnusedWarnings (Either_Sym0 :: TyFun (TyFun a6989586621679914687 c6989586621679914688 -> Type) (TyFun (TyFun b6989586621679914689 c6989586621679914688 -> Type) (TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688 -> Type) -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym0 :: TyFun (TyFun a6989586621679914687 c6989586621679914688 -> Type) (TyFun (TyFun b6989586621679914689 c6989586621679914688 -> Type) (TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688 -> Type) -> Type) -> *) (l :: TyFun a6989586621679914687 c6989586621679914688 -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym0 :: TyFun (TyFun a6989586621679914687 c6989586621679914688 -> Type) (TyFun (TyFun b6989586621679914689 c6989586621679914688 -> Type) (TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688 -> Type) -> Type) -> *) (l :: TyFun a6989586621679914687 c6989586621679914688 -> Type) = (Either_Sym1 l :: TyFun (TyFun b6989586621679914689 c6989586621679914688 -> Type) (TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688 -> Type) -> *)

data Either_Sym1 (l :: TyFun a6989586621679914687 c6989586621679914688 -> Type) (l :: TyFun (TyFun b6989586621679914689 c6989586621679914688 -> Type) (TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688 -> Type)) Source #

Instances
SuppressUnusedWarnings (Either_Sym1 :: (TyFun a6989586621679914687 c6989586621679914688 -> Type) -> TyFun (TyFun b6989586621679914689 c6989586621679914688 -> Type) (TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688 -> Type) -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym1 l1 :: TyFun (TyFun b6989586621679914689 c6989586621679914688 -> Type) (TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688 -> Type) -> *) (l2 :: TyFun b6989586621679914689 c6989586621679914688 -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym1 l1 :: TyFun (TyFun b6989586621679914689 c6989586621679914688 -> Type) (TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688 -> Type) -> *) (l2 :: TyFun b6989586621679914689 c6989586621679914688 -> Type) = Either_Sym2 l1 l2

data Either_Sym2 (l :: TyFun a6989586621679914687 c6989586621679914688 -> Type) (l :: TyFun b6989586621679914689 c6989586621679914688 -> Type) (l :: TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688) Source #

Instances
SuppressUnusedWarnings (Either_Sym2 :: (TyFun a6989586621679914687 c6989586621679914688 -> Type) -> (TyFun b6989586621679914689 c6989586621679914688 -> Type) -> TyFun (Either a6989586621679914687 b6989586621679914689) c6989586621679914688 -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym2 l1 l2 :: TyFun (Either a b) c -> *) (l3 :: Either a b) Source # 
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 a6989586621679914687 c6989586621679914688 -> Type) (t :: TyFun b6989586621679914689 c6989586621679914688 -> Type) (t :: Either a6989586621679914687 b6989586621679914689) = Either_ t t t Source #

data LeftsSym0 (l :: TyFun [Either a6989586621679915823 b6989586621679915824] [a6989586621679915823]) Source #

Instances
SuppressUnusedWarnings (LeftsSym0 :: TyFun [Either a6989586621679915823 b6989586621679915824] [a6989586621679915823] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> *) (l :: [Either a b]) Source # 
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 a6989586621679915823 b6989586621679915824]) = Lefts t Source #

data RightsSym0 (l :: TyFun [Either a6989586621679915821 b6989586621679915822] [b6989586621679915822]) Source #

Instances
SuppressUnusedWarnings (RightsSym0 :: TyFun [Either a6989586621679915821 b6989586621679915822] [b6989586621679915822] -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (RightsSym0 :: TyFun [Either a b] [b] -> *) (l :: [Either a b]) Source # 
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 a6989586621679915821 b6989586621679915822]) = Rights t Source #

data IsLeftSym0 (l :: TyFun (Either a6989586621679915817 b6989586621679915818) Bool) Source #

Instances
SuppressUnusedWarnings (IsLeftSym0 :: TyFun (Either a6989586621679915817 b6989586621679915818) Bool -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) Source # 
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 a6989586621679915817 b6989586621679915818) = IsLeft t Source #

data IsRightSym0 (l :: TyFun (Either a6989586621679915815 b6989586621679915816) Bool) Source #

Instances
SuppressUnusedWarnings (IsRightSym0 :: TyFun (Either a6989586621679915815 b6989586621679915816) Bool -> *) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) Source # 
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 a6989586621679915815 b6989586621679915816) = IsRight t Source #