singletons-2.4: 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_6989586621679913642 = Apply (Apply (Apply FoldrSym0 (Apply (Apply Either_Sym0 (Let6989586621679913649LeftSym1 a_6989586621679913642)) (Let6989586621679913649RightSym1 a_6989586621679913642))) (Apply (Apply Tuple2Sym0 '[]) '[])) a_6989586621679913642 

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 a6989586621679082339 (Either a6989586621679082339 b6989586621679082340)) Source #

Instances
SuppressUnusedWarnings (LeftSym0 :: TyFun a6989586621679082339 (Either a6989586621679082339 b6989586621679082340) -> *) Source # 
Instance details
type Apply (LeftSym0 :: TyFun a (Either a b6989586621679082340) -> *) (l :: a) Source # 
Instance details
type Apply (LeftSym0 :: TyFun a (Either a b6989586621679082340) -> *) (l :: a) = (Left l :: Either a b6989586621679082340)

type LeftSym1 (t :: a6989586621679082339) = Left t Source #

data RightSym0 (l :: TyFun b6989586621679082340 (Either a6989586621679082339 b6989586621679082340)) Source #

Instances
SuppressUnusedWarnings (RightSym0 :: TyFun b6989586621679082340 (Either a6989586621679082339 b6989586621679082340) -> *) Source # 
Instance details
type Apply (RightSym0 :: TyFun b (Either a6989586621679082339 b) -> *) (l :: b) Source # 
Instance details
type Apply (RightSym0 :: TyFun b (Either a6989586621679082339 b) -> *) (l :: b) = (Right l :: Either a6989586621679082339 b)

type RightSym1 (t :: b6989586621679082340) = Right t Source #

data Either_Sym0 (l :: TyFun (TyFun a6989586621679912139 c6989586621679912140 -> Type) (TyFun (TyFun b6989586621679912141 c6989586621679912140 -> Type) (TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140 -> Type) -> Type)) Source #

Instances
SuppressUnusedWarnings (Either_Sym0 :: TyFun (TyFun a6989586621679912139 c6989586621679912140 -> Type) (TyFun (TyFun b6989586621679912141 c6989586621679912140 -> Type) (TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140 -> Type) -> Type) -> *) Source # 
Instance details
type Apply (Either_Sym0 :: TyFun (TyFun a6989586621679912139 c6989586621679912140 -> Type) (TyFun (TyFun b6989586621679912141 c6989586621679912140 -> Type) (TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140 -> Type) -> Type) -> *) (l :: TyFun a6989586621679912139 c6989586621679912140 -> Type) Source # 
Instance details
type Apply (Either_Sym0 :: TyFun (TyFun a6989586621679912139 c6989586621679912140 -> Type) (TyFun (TyFun b6989586621679912141 c6989586621679912140 -> Type) (TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140 -> Type) -> Type) -> *) (l :: TyFun a6989586621679912139 c6989586621679912140 -> Type) = (Either_Sym1 l :: TyFun (TyFun b6989586621679912141 c6989586621679912140 -> Type) (TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140 -> Type) -> *)

data Either_Sym1 (l :: TyFun a6989586621679912139 c6989586621679912140 -> Type) (l :: TyFun (TyFun b6989586621679912141 c6989586621679912140 -> Type) (TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140 -> Type)) Source #

Instances
SuppressUnusedWarnings (Either_Sym1 :: (TyFun a6989586621679912139 c6989586621679912140 -> Type) -> TyFun (TyFun b6989586621679912141 c6989586621679912140 -> Type) (TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140 -> Type) -> *) Source # 
Instance details
type Apply (Either_Sym1 l1 :: TyFun (TyFun b6989586621679912141 c6989586621679912140 -> Type) (TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140 -> Type) -> *) (l2 :: TyFun b6989586621679912141 c6989586621679912140 -> Type) Source # 
Instance details
type Apply (Either_Sym1 l1 :: TyFun (TyFun b6989586621679912141 c6989586621679912140 -> Type) (TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140 -> Type) -> *) (l2 :: TyFun b6989586621679912141 c6989586621679912140 -> Type) = Either_Sym2 l1 l2

data Either_Sym2 (l :: TyFun a6989586621679912139 c6989586621679912140 -> Type) (l :: TyFun b6989586621679912141 c6989586621679912140 -> Type) (l :: TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140) Source #

Instances
SuppressUnusedWarnings (Either_Sym2 :: (TyFun a6989586621679912139 c6989586621679912140 -> Type) -> (TyFun b6989586621679912141 c6989586621679912140 -> Type) -> TyFun (Either a6989586621679912139 b6989586621679912141) c6989586621679912140 -> *) Source # 
Instance details
type Apply (Either_Sym2 l1 l2 :: TyFun (Either a b) c -> *) (l3 :: Either a b) Source # 
Instance details
type Apply (Either_Sym2 l1 l2 :: TyFun (Either a b) c -> *) (l3 :: Either a b) = Either_ l1 l2 l3

type Either_Sym3 (t :: TyFun a6989586621679912139 c6989586621679912140 -> Type) (t :: TyFun b6989586621679912141 c6989586621679912140 -> Type) (t :: Either a6989586621679912139 b6989586621679912141) = Either_ t t t Source #

data LeftsSym0 (l :: TyFun [Either a6989586621679913275 b6989586621679913276] [a6989586621679913275]) Source #

Instances
SuppressUnusedWarnings (LeftsSym0 :: TyFun [Either a6989586621679913275 b6989586621679913276] [a6989586621679913275] -> *) Source # 
Instance details
type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> *) (l :: [Either a b]) Source # 
Instance details
type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> *) (l :: [Either a b]) = Lefts l

type LeftsSym1 (t :: [Either a6989586621679913275 b6989586621679913276]) = Lefts t Source #

data RightsSym0 (l :: TyFun [Either a6989586621679913273 b6989586621679913274] [b6989586621679913274]) Source #

Instances
SuppressUnusedWarnings (RightsSym0 :: TyFun [Either a6989586621679913273 b6989586621679913274] [b6989586621679913274] -> *) Source # 
Instance details
type Apply (RightsSym0 :: TyFun [Either a b] [b] -> *) (l :: [Either a b]) Source # 
Instance details
type Apply (RightsSym0 :: TyFun [Either a b] [b] -> *) (l :: [Either a b]) = Rights l

type RightsSym1 (t :: [Either a6989586621679913273 b6989586621679913274]) = Rights t Source #

data IsLeftSym0 (l :: TyFun (Either a6989586621679913269 b6989586621679913270) Bool) Source #

Instances
SuppressUnusedWarnings (IsLeftSym0 :: TyFun (Either a6989586621679913269 b6989586621679913270) Bool -> *) Source # 
Instance details
type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) Source # 
Instance details
type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) = IsLeft l

type IsLeftSym1 (t :: Either a6989586621679913269 b6989586621679913270) = IsLeft t Source #

data IsRightSym0 (l :: TyFun (Either a6989586621679913267 b6989586621679913268) Bool) Source #

Instances
SuppressUnusedWarnings (IsRightSym0 :: TyFun (Either a6989586621679913267 b6989586621679913268) Bool -> *) Source # 
Instance details
type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) Source # 
Instance details
type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> *) (l :: Either a b) = IsRight l

type IsRightSym1 (t :: Either a6989586621679913267 b6989586621679913268) = IsRight t Source #