singletons-2.6: A framework for generating singleton types
Copyright(C) 2013-2014 Richard Eisenberg Jan Stolarek
LicenseBSD-style (see LICENSE)
MaintainerRyan Scott
Stabilityexperimental
Portabilitynon-portable
Safe HaskellNone
LanguageHaskell2010

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

The Either singleton

type family Sing :: k -> Type Source #

The singleton kind-indexed type family.

Instances

Instances details
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = SBool
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing Source # 
Instance details

Defined in Data.Singletons.TypeLits.Internal

type Sing = SNat
type Sing Source # 
Instance details

Defined in Data.Singletons.TypeLits.Internal

type Sing = SSymbol
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = STuple0
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = SVoid
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SAll
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SAny
type Sing Source # 
Instance details

Defined in Data.Singletons.TypeError

type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = SList :: [a] -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = SMaybe :: Maybe a -> Type
type Sing Source #

A choice of singleton for the kind TYPE rep (for some RuntimeRep rep), an instantiation of which is the famous kind Type.

Conceivably, one could generalize this instance to `Sing @k` for any kind k, and remove all other Sing instances. We don't adopt this design, however, since it is far more convenient in practice to work with explicit singleton values than TypeReps (for instance, TypeReps are more difficult to pattern match on, and require extra runtime checks).

We cannot produce explicit singleton values for everything in TYPE rep, however, since it is an open kind, so we reach for TypeRep in this one particular case.

Instance details

Defined in Data.Singletons.TypeRepTYPE

type Sing = TypeRep :: TYPE rep -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SMin :: Min a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SMax :: Max a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SFirst :: First a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SLast :: Last a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SOption :: Option a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = SIdentity :: Identity a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Monoid

type Sing = SFirst :: First a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Monoid

type Sing = SLast :: Last a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SDual :: Dual a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SSum :: Sum a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

type Sing = SProduct :: Product a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Ord

type Sing = SDown :: Down a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = SNonEmpty :: NonEmpty a -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = SEither :: Either a b -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = STuple2 :: (a, b) -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Semigroup

type Sing = SArg :: Arg a b -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Internal

type Sing = SLambda :: (k1 ~> k2) -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Internal

type Sing Source # 
Instance details

Defined in Data.Singletons.Sigma

type Sing = SSigma :: Sigma s t -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = STuple3 :: (a, b, c) -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Const

type Sing = SConst :: Const a b -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = STuple4 :: (a, b, c, d) -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = STuple5 :: (a, b, c, d, e) -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = STuple6 :: (a, b, c, d, e, f) -> Type
type Sing Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Sing = STuple7 :: (a, b, c, d, e, f, g) -> Type

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

Instances details
(SDecide a, SDecide b) => TestCoercion (SEither :: Either a b -> Type) Source # 
Instance details

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 # 
Instance details

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) Source # 
Instance details

Defined in Data.Singletons.ShowSing

Methods

showsPrec :: Int -> SEither z -> ShowS #

show :: SEither z -> String #

showList :: [SEither z] -> ShowS #

Singletons from Data.Either

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

type family Either_ (a :: (~>) a c) (a :: (~>) b c) (a :: Either a b) :: c where ... Source #

Equations

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

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 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 

sLefts :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply LeftsSym0 t :: [a]) Source #

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) 

sRights :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply RightsSym0 t :: [b]) Source #

type family PartitionEithers (a :: [Either a b]) :: ([a], [b]) where ... Source #

Equations

PartitionEithers a_6989586621680471762 = Apply (Apply (Apply FoldrSym0 (Apply (Apply Either_Sym0 (Let6989586621680471767LeftSym1 a_6989586621680471762)) (Let6989586621680471767RightSym1 a_6989586621680471762))) (Apply (Apply Tuple2Sym0 '[]) '[])) a_6989586621680471762 

sPartitionEithers :: forall a b (t :: [Either a b]). Sing t -> Sing (Apply PartitionEithersSym0 t :: ([a], [b])) Source #

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

Equations

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

sIsLeft :: forall a b (t :: Either a b). Sing t -> Sing (Apply IsLeftSym0 t :: Bool) Source #

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

Equations

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

sIsRight :: forall a b (t :: Either a b). Sing t -> Sing (Apply IsRightSym0 t :: Bool) Source #

Defunctionalization symbols

data LeftSym0 :: forall (a6989586621679093843 :: Type) (b6989586621679093844 :: Type). (~>) a6989586621679093843 (Either (a6989586621679093843 :: Type) (b6989586621679093844 :: Type)) Source #

Instances

Instances details
SingI (LeftSym0 :: TyFun a (Either a b) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

SuppressUnusedWarnings (LeftSym0 :: TyFun a6989586621679093843 (Either a6989586621679093843 b6989586621679093844) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (LeftSym0 :: TyFun a (Either a b6989586621679093844) -> Type) (t6989586621679315200 :: a) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (LeftSym0 :: TyFun a (Either a b6989586621679093844) -> Type) (t6989586621679315200 :: a) = 'Left t6989586621679315200 :: Either a b6989586621679093844

type LeftSym1 (t6989586621679315200 :: a6989586621679093843) = 'Left t6989586621679315200 Source #

data RightSym0 :: forall (b6989586621679093844 :: Type) (a6989586621679093843 :: Type). (~>) b6989586621679093844 (Either (a6989586621679093843 :: Type) (b6989586621679093844 :: Type)) Source #

Instances

Instances details
SingI (RightSym0 :: TyFun b (Either a b) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

SuppressUnusedWarnings (RightSym0 :: TyFun b6989586621679093844 (Either a6989586621679093843 b6989586621679093844) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (RightSym0 :: TyFun b (Either a6989586621679093843 b) -> Type) (t6989586621679315202 :: b) Source # 
Instance details

Defined in Data.Singletons.Prelude.Instances

type Apply (RightSym0 :: TyFun b (Either a6989586621679093843 b) -> Type) (t6989586621679315202 :: b) = 'Right t6989586621679315202 :: Either a6989586621679093843 b

type RightSym1 (t6989586621679315202 :: b6989586621679093844) = 'Right t6989586621679315202 Source #

data Either_Sym0 :: forall a6989586621680470035 c6989586621680470036 b6989586621680470037. (~>) ((~>) a6989586621680470035 c6989586621680470036) ((~>) ((~>) b6989586621680470037 c6989586621680470036) ((~>) (Either a6989586621680470035 b6989586621680470037) c6989586621680470036)) Source #

Instances

Instances details
SingI (Either_Sym0 :: TyFun (a ~> c) ((b ~> c) ~> (Either a b ~> c)) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

SuppressUnusedWarnings (Either_Sym0 :: TyFun (a6989586621680470035 ~> c6989586621680470036) ((b6989586621680470037 ~> c6989586621680470036) ~> (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036)) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym0 :: TyFun (a6989586621680470035 ~> c6989586621680470036) ((b6989586621680470037 ~> c6989586621680470036) ~> (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036)) -> Type) (a6989586621680470071 :: a6989586621680470035 ~> c6989586621680470036) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym0 :: TyFun (a6989586621680470035 ~> c6989586621680470036) ((b6989586621680470037 ~> c6989586621680470036) ~> (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036)) -> Type) (a6989586621680470071 :: a6989586621680470035 ~> c6989586621680470036) = Either_Sym1 a6989586621680470071 b6989586621680470037 :: TyFun (b6989586621680470037 ~> c6989586621680470036) (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036) -> Type

data Either_Sym1 (a6989586621680470071 :: (~>) a6989586621680470035 c6989586621680470036) :: forall b6989586621680470037. (~>) ((~>) b6989586621680470037 c6989586621680470036) ((~>) (Either a6989586621680470035 b6989586621680470037) c6989586621680470036) Source #

Instances

Instances details
SingI d => SingI (Either_Sym1 d b :: TyFun (b ~> c) (Either a b ~> c) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

Methods

sing :: Sing (Either_Sym1 d b) Source #

SuppressUnusedWarnings (Either_Sym1 a6989586621680470071 b6989586621680470037 :: TyFun (b6989586621680470037 ~> c6989586621680470036) (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036) -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym1 a6989586621680470071 b6989586621680470037 :: TyFun (b6989586621680470037 ~> c6989586621680470036) (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036) -> Type) (a6989586621680470072 :: b6989586621680470037 ~> c6989586621680470036) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym1 a6989586621680470071 b6989586621680470037 :: TyFun (b6989586621680470037 ~> c6989586621680470036) (Either a6989586621680470035 b6989586621680470037 ~> c6989586621680470036) -> Type) (a6989586621680470072 :: b6989586621680470037 ~> c6989586621680470036) = Either_Sym2 a6989586621680470071 a6989586621680470072

data Either_Sym2 (a6989586621680470071 :: (~>) a6989586621680470035 c6989586621680470036) (a6989586621680470072 :: (~>) b6989586621680470037 c6989586621680470036) :: (~>) (Either a6989586621680470035 b6989586621680470037) c6989586621680470036 Source #

Instances

Instances details
(SingI d1, SingI d2) => SingI (Either_Sym2 d1 d2 :: TyFun (Either a b) c -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

Methods

sing :: Sing (Either_Sym2 d1 d2) Source #

SuppressUnusedWarnings (Either_Sym2 a6989586621680470072 a6989586621680470071 :: TyFun (Either a6989586621680470035 b6989586621680470037) c6989586621680470036 -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym2 a6989586621680470072 a6989586621680470071 :: TyFun (Either a b) c -> Type) (a6989586621680470073 :: Either a b) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (Either_Sym2 a6989586621680470072 a6989586621680470071 :: TyFun (Either a b) c -> Type) (a6989586621680470073 :: Either a b) = Either_ a6989586621680470072 a6989586621680470071 a6989586621680470073

type Either_Sym3 (a6989586621680470071 :: (~>) a6989586621680470035 c6989586621680470036) (a6989586621680470072 :: (~>) b6989586621680470037 c6989586621680470036) (a6989586621680470073 :: Either a6989586621680470035 b6989586621680470037) = Either_ a6989586621680470071 a6989586621680470072 a6989586621680470073 Source #

data LeftsSym0 :: forall a6989586621680471517 b6989586621680471518. (~>) [Either a6989586621680471517 b6989586621680471518] [a6989586621680471517] Source #

Instances

Instances details
SingI (LeftsSym0 :: TyFun [Either a b] [a] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

SuppressUnusedWarnings (LeftsSym0 :: TyFun [Either a6989586621680471517 b6989586621680471518] [a6989586621680471517] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> Type) (a6989586621680471789 :: [Either a b]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (LeftsSym0 :: TyFun [Either a b] [a] -> Type) (a6989586621680471789 :: [Either a b]) = Lefts a6989586621680471789

type LeftsSym1 (a6989586621680471789 :: [Either a6989586621680471517 b6989586621680471518]) = Lefts a6989586621680471789 Source #

data RightsSym0 :: forall a6989586621680471515 b6989586621680471516. (~>) [Either a6989586621680471515 b6989586621680471516] [b6989586621680471516] Source #

Instances

Instances details
SingI (RightsSym0 :: TyFun [Either a b] [b] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

SuppressUnusedWarnings (RightsSym0 :: TyFun [Either a6989586621680471515 b6989586621680471516] [b6989586621680471516] -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (RightsSym0 :: TyFun [Either a b] [b] -> Type) (a6989586621680471784 :: [Either a b]) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (RightsSym0 :: TyFun [Either a b] [b] -> Type) (a6989586621680471784 :: [Either a b]) = Rights a6989586621680471784

type RightsSym1 (a6989586621680471784 :: [Either a6989586621680471515 b6989586621680471516]) = Rights a6989586621680471784 Source #

data IsLeftSym0 :: forall a6989586621680471511 b6989586621680471512. (~>) (Either a6989586621680471511 b6989586621680471512) Bool Source #

Instances

Instances details
SingI (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

SuppressUnusedWarnings (IsLeftSym0 :: TyFun (Either a6989586621680471511 b6989586621680471512) Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680471760 :: Either a b) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (IsLeftSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680471760 :: Either a b) = IsLeft a6989586621680471760

type IsLeftSym1 (a6989586621680471760 :: Either a6989586621680471511 b6989586621680471512) = IsLeft a6989586621680471760 Source #

data IsRightSym0 :: forall a6989586621680471509 b6989586621680471510. (~>) (Either a6989586621680471509 b6989586621680471510) Bool Source #

Instances

Instances details
SingI (IsRightSym0 :: TyFun (Either a b) Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

SuppressUnusedWarnings (IsRightSym0 :: TyFun (Either a6989586621680471509 b6989586621680471510) Bool -> Type) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680471758 :: Either a b) Source # 
Instance details

Defined in Data.Singletons.Prelude.Either

type Apply (IsRightSym0 :: TyFun (Either a b) Bool -> Type) (a6989586621680471758 :: Either a b) = IsRight a6989586621680471758

type IsRightSym1 (a6989586621680471758 :: Either a6989586621680471509 b6989586621680471510) = IsRight a6989586621680471758 Source #