singletons-2.5.1: A framework for generating singleton types

Copyright | (C) 2017 Ryan Scott
License | BSD-style (see LICENSE)
Maintainer | Ryan Scott
Stability | experimental
Portability | non-portable
Safe Haskell | None
Language | Haskell2010

Data.Singletons.Prelude.Void

Contents

- The `Void` singleton
- Singletons from `Data.Void`
- Defunctionalization symbols

Description

Defines functions and datatypes relating to the singleton for `Void`, including a singleton version of all the definitions in `Data.Void`.

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.Void`. Also, please excuse the apparent repeated variable names. This is due to an interaction between Template Haskell and Haddock.

Synopsis

- data family Sing :: k -> Type
- type SVoid = (Sing :: Void -> Type)
- type family Absurd (a :: Void) :: a where ...
- sAbsurd :: forall a (t :: Void). Sing t -> Sing (Apply AbsurdSym0 t :: a)
- data AbsurdSym0 :: forall a6989586621679357946. (~>) Void a6989586621679357946
- type AbsurdSym1 (a6989586621679357949 :: Void) = Absurd a6989586621679357949

# The `Void` singleton

data family Sing :: k -> Type Source #

The singleton kind-indexed data family.

Instances

SDecide k => TestCoercion (Sing :: k -> Type) Source # |
Instance details Defined in Data.Singletons.Decide Methods testCoercion :: Sing a -> Sing b -> Maybe (Coercion a b) Source #
SDecide k => TestEquality (Sing :: k -> Type) Source # |
Instance details Defined in Data.Singletons.Decide Methods testEquality :: Sing a -> Sing b -> Maybe (a :~: b) Source #
Show (SSymbol s) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SSymbol s -> ShowS Source # show :: SSymbol s -> String Source # showList :: [SSymbol s] -> ShowS Source #
Show (SNat n) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> SNat n -> ShowS Source # show :: SNat n -> String Source # showList :: [SNat n] -> ShowS Source #
Eq (Sing a) Source # |
Instance details Defined in Data.Singletons.TypeRepTYPE Methods (==) :: Sing a -> Sing a -> Bool Source # (/=) :: Sing a -> Sing a -> Bool Source #
Ord (Sing a) Source # |
Instance details Defined in Data.Singletons.TypeRepTYPE Methods compare :: Sing a -> Sing a -> Ordering Source # (<) :: Sing a -> Sing a -> Bool Source # (<=) :: Sing a -> Sing a -> Bool Source # (>) :: Sing a -> Sing a -> Bool Source # (>=) :: Sing a -> Sing a -> Bool Source # max :: Sing a -> Sing a -> Sing a Source # min :: Sing a -> Sing a -> Sing a Source #
Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
(ShowSing a, ShowSing [a]) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing a => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
(ShowSing a, ShowSing b) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
Show (Sing a) Source # |
Instance details Defined in Data.Singletons.TypeRepTYPE Methods showsPrec :: Int -> Sing a -> ShowS Source # show :: Sing a -> String Source # showList :: [Sing a] -> ShowS Source #
Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
(ShowSing a, ShowSing b) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
(ShowSing a, ShowSing b, ShowSing c) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
(ShowSing a, ShowSing b, ShowSing c, ShowSing d, ShowSing e, ShowSing f, ShowSing g) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing a => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing a => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
(ShowSing a, ShowSing b) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing a => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing a => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing m => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing (Maybe a) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing a => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing (Maybe a) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Monoid Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing (Maybe a) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Monoid Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing a => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing Bool => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing Bool => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing a => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
ShowSing a => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.Prelude.Semigroup Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
(ShowSing a, ShowSing [a]) => Show (Sing z) Source # |
Instance details Defined in Data.Singletons.ShowSing Methods showsPrec :: Int -> Sing z -> ShowS Source # show :: Sing z -> String Source # showList :: [Sing z] -> ShowS Source #
data Sing (a :: Bool) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (a :: Bool) where

- SFalse :: forall (a :: Bool). Sing False
- STrue :: forall (a :: Bool). Sing True

data Sing (a :: Ordering) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (a :: Ordering) where

- SLT :: forall (a :: Ordering). Sing LT
- SEQ :: forall (a :: Ordering). Sing EQ
- SGT :: forall (a :: Ordering). Sing GT

data Sing (n :: Nat) Source # |

Instance details

Defined in Data.Singletons.TypeLits.Internal

data Sing (n :: Nat) where

- SNat :: forall (n :: Nat). KnownNat n => Sing n

data Sing (n :: Symbol) Source # |

Instance details

Defined in Data.Singletons.TypeLits.Internal

data Sing (n :: Symbol) where

- SSym :: forall (n :: Symbol). KnownSymbol n => Sing n

data Sing (a :: ()) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (a :: ()) where

- STuple0 :: forall (a :: ()). Sing ()

data Sing (a :: Void) Source # |
Instance details Defined in Data.Singletons.Prelude.Instances data Sing (a :: Void)
data Sing (a :: All) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (a :: All) where

- SAll :: forall (a :: All) (n :: Bool). {..} -> Sing (All n)

data Sing (a :: Any) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (a :: Any) where

- SAny :: forall (a :: Any) (n :: Bool). {..} -> Sing (Any n)

data Sing (a :: PErrorMessage) Source # |

Instance details

Defined in Data.Singletons.TypeError

data Sing (a :: PErrorMessage) where

- SText :: forall (a :: PErrorMessage) (t :: Symbol). Sing t -> Sing (Text t)
- SShowType :: forall (a :: PErrorMessage) t (ty :: t). Sing ty -> Sing (ShowType ty :: ErrorMessage' Symbol)
- (:%<>:) :: forall (a :: PErrorMessage) (e1 :: ErrorMessage' Symbol) (e2 :: ErrorMessage' Symbol). Sing e1 -> Sing e2 -> Sing (e1 :<>: e2)
- (:%$$:) :: forall (a :: PErrorMessage) (e1 :: ErrorMessage' Symbol) (e2 :: ErrorMessage' Symbol). Sing e1 -> Sing e2 -> Sing (e1 :$$: e2)

data Sing (b :: [a]) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (b :: [a]) where

- SNil :: forall k (b :: [k]). Sing ([] :: [k])
- SCons :: forall a (b :: [a]) (n :: a) (n :: [a]). Sing n -> Sing n -> Sing (n ': n)

data Sing (b :: Maybe a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (b :: Maybe a) where

- SNothing :: forall a (b :: Maybe a). Sing (Nothing :: Maybe a)
- SJust :: forall a (b :: Maybe a) (n :: a). Sing n -> Sing (Just n)

newtype Sing (a :: TYPE rep) 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 -> Type` 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 `TypeRep`s (for instance, `TypeRep`s 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 newtype Sing (a :: TYPE rep) = STypeRep (TypeRep a)
data Sing (b :: Min a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Min a) where

- SMin :: forall a (b :: Min a) (n :: a). {..} -> Sing (Min n)

data Sing (b :: Max a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Max a) where

- SMax :: forall a (b :: Max a) (n :: a). {..} -> Sing (Max n)

data Sing (b :: First a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: First a) where

- SFirst :: forall a (b :: First a) (n :: a). {..} -> Sing (First n)

data Sing (b :: Last a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Last a) where

- SLast :: forall a (b :: Last a) (n :: a). {..} -> Sing (Last n)

data Sing (a :: WrappedMonoid m) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (a :: WrappedMonoid m) where

- SWrapMonoid :: forall m (a :: WrappedMonoid m) (n :: m). {..} -> Sing (WrapMonoid n)

data Sing (b :: Option a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Option a) where

- SOption :: forall a (b :: Option a) (n :: Maybe a). {..} -> Sing (Option n)

data Sing (b :: Identity a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (b :: Identity a) where

- SIdentity :: forall a (b :: Identity a) (n :: a). {..} -> Sing (Identity n)

data Sing (b :: First a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Monoid

data Sing (b :: First a) where

- SFirst :: forall a (b :: First a) (n :: Maybe a). {..} -> Sing (First n)

data Sing (b :: Last a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Monoid

data Sing (b :: Last a) where

- SLast :: forall a (b :: Last a) (n :: Maybe a). {..} -> Sing (Last n)

data Sing (b :: Dual a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Dual a) where

- SDual :: forall a (b :: Dual a) (n :: a). {..} -> Sing (Dual n)

data Sing (b :: Sum a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Sum a) where

- SSum :: forall a (b :: Sum a) (n :: a). {..} -> Sing (Sum n)

data Sing (b :: Product a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup.Internal

data Sing (b :: Product a) where

- SProduct :: forall a (b :: Product a) (n :: a). {..} -> Sing (Product n)

data Sing (b :: Down a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Ord

data Sing (b :: Down a) where

- SDown :: forall a (b :: Down a) (n :: a). Sing n -> Sing (Down n)

data Sing (b :: NonEmpty a) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (b :: NonEmpty a) where

- (:%|) :: forall a (b :: NonEmpty a) (n :: a) (n :: [a]). Sing n -> Sing n -> Sing (n :| n)

data Sing (c :: Either a b) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (c :: Either a b) where

- SLeft :: forall a b (c :: Either a b) (n :: a). Sing n -> Sing (Left n :: Either a b)
- SRight :: forall a b (c :: Either a b) (n :: b). Sing n -> Sing (Right n :: Either a b)

data Sing (c :: (a, b)) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (c :: (a, b)) where

- STuple2 :: forall a b (c :: (a, b)) (n :: a) (n :: b). Sing n -> Sing n -> Sing ((,) n n)

data Sing (c :: Arg a b) Source # |

Instance details

Defined in Data.Singletons.Prelude.Semigroup

data Sing (c :: Arg a b) where

- SArg :: forall a b (c :: Arg a b) (n :: a) (n :: b). Sing n -> Sing n -> Sing (Arg n n)

newtype Sing (f :: k1 ~> k2) Source # |

Instance details

Defined in Data.Singletons.Internal

newtype Sing (f :: k1 ~> k2) = SLambda {

- applySing :: forall (t :: k1). Sing t -> Sing (f @@ t)

}

data Sing (d :: (a, b, c)) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (d :: (a, b, c)) where

- STuple3 :: forall a b c (d :: (a, b, c)) (n :: a) (n :: b) (n :: c). Sing n -> Sing n -> Sing n -> Sing ((,,) n n n)

data Sing (c :: Const a b) Source # |

Instance details

Defined in Data.Singletons.Prelude.Const

data Sing (c :: Const a b) where

- SConst :: forall k a (b :: k) (c :: Const a b) (a :: a). {..} -> Sing (Const a :: Const a b)

data Sing (e :: (a, b, c, d)) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (e :: (a, b, c, d)) where

- STuple4 :: forall a b c d (e :: (a, b, c, d)) (n :: a) (n :: b) (n :: c) (n :: d). Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,) n n n n)

data Sing (f :: (a, b, c, d, e)) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (f :: (a, b, c, d, e)) where

- STuple5 :: forall a b c d e (f :: (a, b, c, d, e)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,) n n n n n)

data Sing (g :: (a, b, c, d, e, f)) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (g :: (a, b, c, d, e, f)) where

- STuple6 :: forall a b c d e f (g :: (a, b, c, d, e, f)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,,) n n n n n n)

data Sing (h :: (a, b, c, d, e, f, g)) Source # |

Instance details

Defined in Data.Singletons.Prelude.Instances

data Sing (h :: (a, b, c, d, e, f, g)) where

- STuple7 :: forall a b c d e f g (h :: (a, b, c, d, e, f, g)) (n :: a) (n :: b) (n :: c) (n :: d) (n :: e) (n :: f) (n :: g). Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing n -> Sing ((,,,,,,) n n n n n n n)

Just as `Void` has no constructors, the `Sing` instance above also has no constructors.

type SVoid = (Sing :: Void -> Type) Source #

`SVoid` is a kind-restricted synonym for `Sing`: `type SVoid (a :: Void) = Sing a`

# Singletons from `Data.Void`

type family Absurd (a :: Void) :: a where ... Source #

Equations

Absurd a = Case_6989586621679357952 a a |

sAbsurd :: forall a (t :: Void). Sing t -> Sing (Apply AbsurdSym0 t :: a) Source #

# Defunctionalization symbols

data AbsurdSym0 :: forall a6989586621679357946. (~>) Void a6989586621679357946 Source #

Instances

SingI (AbsurdSym0 :: TyFun Void a -> Type) Source # |
Instance details Defined in Data.Singletons.Prelude.Void Methods sing :: Sing AbsurdSym0 Source #
SuppressUnusedWarnings (AbsurdSym0 :: TyFun Void a6989586621679357946 -> Type) Source # |
Instance details Defined in Data.Singletons.Prelude.Void Methods suppressUnusedWarnings :: () Source #
type Apply (AbsurdSym0 :: TyFun Void k2 -> Type) (a6989586621679357949 :: Void) Source # |
Instance details Defined in Data.Singletons.Prelude.Void type Apply (AbsurdSym0 :: TyFun Void k2 -> Type) (a6989586621679357949 :: Void) = (Absurd a6989586621679357949 :: k2)

type AbsurdSym1 (a6989586621679357949 :: Void) = Absurd a6989586621679357949 Source #