Data.Singletons.Base.TypeRepTYPE

This module defines singleton instances making TypeRep the singleton for the kind TYPE rep (for some RuntimeRep rep), an instantiation of which is the famous kind Type. The definitions don't fully line up with what is expected within the singletons library, so expect unusual results!

Documentation

type family Sing :: k -> Type

Instances

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SVoid

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SAll

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SAny

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SNat

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SOrdering

type Sing

Defined in Data.Singletons.Base.TypeError

type Sing = SErrorMessage

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple0

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SBool

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SChar

type Sing

Defined in GHC.TypeLits.Singletons.Internal

type Sing = SSymbol

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SMax :: Max a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SMin :: Min a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SWrappedMonoid :: WrappedMonoid m -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SNonEmpty :: NonEmpty a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SIdentity :: Identity a -> Type

type Sing

Defined in Data.Monoid.Singletons

type Sing = SFirst :: First a -> Type

type Sing

Defined in Data.Monoid.Singletons

type Sing = SLast :: Last a -> Type

type Sing

Defined in Data.Ord.Singletons

type Sing = SDown :: Down a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SDual :: Dual a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SProduct :: Product a -> Type

type Sing

Defined in Data.Semigroup.Singletons.Internal.Wrappers

type Sing = SSum :: Sum a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SMaybe :: Maybe a -> Type

type Sing

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.

Defined in Data.Singletons.Base.TypeRepTYPE

type Sing = TypeRep :: TYPE rep -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SList :: [a] -> Type

type Sing

Defined in Data.Semigroup.Singletons

type Sing = SArg :: Arg a b -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = SEither :: Either a b -> Type

type Sing

Defined in Data.Proxy.Singletons

type Sing = SProxy :: Proxy t -> Type

type Sing

Defined in Data.Singletons

type Sing = SWrappedSing :: WrappedSing a -> Type

type Sing

Defined in Data.Singletons

type Sing = SLambda :: (k1 ~> k2) -> Type

type Sing

Defined in Data.Singletons.Sigma

type Sing = SSigma :: Sigma s t -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple2 :: (a, b) -> Type

type Sing

Defined in Data.Functor.Const.Singletons

type Sing = SConst :: Const a b -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple3 :: (a, b, c) -> Type

type Sing

Defined in Data.Functor.Product.Singletons

type Sing = SProduct :: Product f g a -> Type

type Sing

Defined in Data.Functor.Sum.Singletons

type Sing = SSum :: Sum f g a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

type Sing = STuple4 :: (a, b, c, d) -> Type

type Sing

Defined in Data.Functor.Compose.Singletons

type Sing = SCompose :: Compose f g a -> Type

type Sing

Defined in Data.Singletons.Base.Instances

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

type Sing

Defined in Data.Singletons.Base.Instances

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

type Sing

Defined in Data.Singletons.Base.Instances

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

Here is the definition of the singleton for TYPE rep:

type instance Sing \@(TYPE rep) = TypeRep

Instances for SingI, SingKind, SEq, SDecide, and TestCoercion are also supplied.

data SomeTypeRepTYPE (a :: RuntimeRep) where

A variant of SomeTypeRep whose underlying TypeRep is restricted to kind TYPE rep (for some RuntimeRep rep).

Constructors

SomeTypeRepTYPE :: forall (a :: RuntimeRep) (a1 :: TYPE a). !(TypeRep a1) -> SomeTypeRepTYPE a

Instances

Show (SomeTypeRepTYPE rep)

Defined in Data.Singletons.Base.TypeRepTYPE

Methods

showsPrec :: Int -> SomeTypeRepTYPE rep -> ShowS

show :: SomeTypeRepTYPE rep -> String

showList :: [SomeTypeRepTYPE rep] -> ShowS

Eq (SomeTypeRepTYPE rep)

Defined in Data.Singletons.Base.TypeRepTYPE

Methods

(==) :: SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep -> Bool

(/=) :: SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep -> Bool

Ord (SomeTypeRepTYPE rep)

Defined in Data.Singletons.Base.TypeRepTYPE

Methods

compare :: SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep -> Ordering

(<) :: SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep -> Bool

(<=) :: SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep -> Bool

(>) :: SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep -> Bool

(>=) :: SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep -> Bool

max :: SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep

min :: SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep -> SomeTypeRepTYPE rep

Orphan instances

SingKind (TYPE rep)

Associated Types

type Demote (TYPE rep)

Defined in Data.Singletons.Base.TypeRepTYPE

type Demote (TYPE rep) = SomeTypeRepTYPE rep

Methods

fromSing :: forall (a :: TYPE rep). Sing a -> Demote (TYPE rep)

toSing :: Demote (TYPE rep) -> SomeSing (TYPE rep)

SDecide (TYPE rep)

Methods

(%~) :: forall (a :: TYPE rep) (b :: TYPE rep). Sing a -> Sing b -> Decision (a :~: b)

PEq (TYPE rep)

SEq (TYPE rep)

Methods

(%==) :: forall (t1 :: TYPE rep) (t2 :: TYPE rep). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((==@#@$) :: TyFun (TYPE rep) (TYPE rep ~> Bool) -> Type) t1) t2)

(%/=) :: forall (t1 :: TYPE rep) (t2 :: TYPE rep). Sing t1 -> Sing t2 -> Sing (Apply (Apply ((/=@#@$) :: TyFun (TYPE rep) (TYPE rep ~> Bool) -> Type) t1) t2)

Typeable a => SingI (a :: TYPE rep)

Methods

sing :: Sing a