Copyright | (c) The University of Glasgow CWI 2001--2017 |
---|---|

License | BSD-style (see the file libraries/base/LICENSE) |

Maintainer | libraries@haskell.org |

Stability | experimental |

Portability | non-portable (requires GADTs and compiler support) |

Safe Haskell | Trustworthy |

Language | Haskell2010 |

This provides a type-indexed type representation mechanism, similar to that described by,

- Simon Peyton-Jones, Stephanie Weirich, Richard Eisenberg, Dimitrios Vytiniotis. "A reflection on types." /Proc. Philip Wadler's 60th birthday Festschrift/, Edinburgh (April 2016).

The interface provides `TypeRep`

, a type representation which can be safely decomposed and composed. See Data.Dynamic for an example of this.

Since: base-4.10.0.0

class Typeable (a :: k) Source

The class `Typeable`

allows a concrete representation of a type to be calculated.

typeRep#

typeRep :: Typeable a => TypeRep a Source

withTypeable :: forall k (a :: k) rep (r :: TYPE rep). TypeRep a -> (Typeable a => r) -> r Source

Use a `TypeRep`

as `Typeable`

evidence.

data a :~: b where infix 4 Source

Propositional equality. If `a :~: b`

is inhabited by some terminating value, then the type `a`

is the same as the type `b`

. To use this equality in practice, pattern-match on the `a :~: b`

to get out the `Refl`

constructor; in the body of the pattern-match, the compiler knows that `a ~ b`

.

Since: base-4.7.0.0

Category ((:~:) :: k -> k -> Type) | Since: base-4.7.0.0 |

TestEquality ((:~:) a :: k -> Type) | Since: base-4.7.0.0 |

Defined in Data.Type.Equality | |

TestCoercion ((:~:) a :: k -> Type) | Since: base-4.7.0.0 |

Defined in Data.Type.Coercion | |

a ~ b => Bounded (a :~: b) | Since: base-4.7.0.0 |

a ~ b => Enum (a :~: b) | Since: base-4.7.0.0 |

Defined in Data.Type.Equality ## Methodssucc :: (a :~: b) -> a :~: b Source pred :: (a :~: b) -> a :~: b Source toEnum :: Int -> a :~: b Source fromEnum :: (a :~: b) -> Int Source enumFrom :: (a :~: b) -> [a :~: b] Source enumFromThen :: (a :~: b) -> (a :~: b) -> [a :~: b] Source enumFromTo :: (a :~: b) -> (a :~: b) -> [a :~: b] Source enumFromThenTo :: (a :~: b) -> (a :~: b) -> (a :~: b) -> [a :~: b] Source | |

Eq (a :~: b) | Since: base-4.7.0.0 |

(a ~ b, Data a) => Data (a :~: b) | Since: base-4.7.0.0 |

Defined in Data.Data ## Methodsgfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> (a :~: b) -> c (a :~: b) Source gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (a :~: b) Source toConstr :: (a :~: b) -> Constr Source dataTypeOf :: (a :~: b) -> DataType Source dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (a :~: b)) Source dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (a :~: b)) Source gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a :~: b) -> a :~: b Source gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r Source gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a :~: b) -> r Source gmapQ :: (forall d. Data d => d -> u) -> (a :~: b) -> [u] Source gmapQi :: Int -> (forall d. Data d => d -> u) -> (a :~: b) -> u Source gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~: b) -> m (a :~: b) Source | |

Ord (a :~: b) | Since: base-4.7.0.0 |

Defined in Data.Type.Equality | |

a ~ b => Read (a :~: b) | Since: base-4.7.0.0 |

Show (a :~: b) | Since: base-4.7.0.0 |

data (a :: k1) :~~: (b :: k2) where infix 4 Source

Kind heterogeneous propositional equality. Like `:~:`

, `a :~~: b`

is inhabited by a terminating value if and only if `a`

is the same type as `b`

.

Since: base-4.10.0.0

Category ((:~~:) :: k -> k -> Type) | Since: base-4.10.0.0 |

TestEquality ((:~~:) a :: k -> Type) | Since: base-4.10.0.0 |

Defined in Data.Type.Equality | |

TestCoercion ((:~~:) a :: k -> Type) | Since: base-4.10.0.0 |

Defined in Data.Type.Coercion | |

a ~~ b => Bounded (a :~~: b) | Since: base-4.10.0.0 |

a ~~ b => Enum (a :~~: b) | Since: base-4.10.0.0 |

Defined in Data.Type.Equality ## Methodssucc :: (a :~~: b) -> a :~~: b Source pred :: (a :~~: b) -> a :~~: b Source toEnum :: Int -> a :~~: b Source fromEnum :: (a :~~: b) -> Int Source enumFrom :: (a :~~: b) -> [a :~~: b] Source enumFromThen :: (a :~~: b) -> (a :~~: b) -> [a :~~: b] Source enumFromTo :: (a :~~: b) -> (a :~~: b) -> [a :~~: b] Source enumFromThenTo :: (a :~~: b) -> (a :~~: b) -> (a :~~: b) -> [a :~~: b] Source | |

Eq (a :~~: b) | Since: base-4.10.0.0 |

(Typeable i, Typeable j, Typeable a, Typeable b, a ~~ b) => Data (a :~~: b) | Since: base-4.10.0.0 |

Defined in Data.Data ## Methodsgfoldl :: (forall d b0. Data d => c (d -> b0) -> d -> c b0) -> (forall g. g -> c g) -> (a :~~: b) -> c (a :~~: b) Source gunfold :: (forall b0 r. Data b0 => c (b0 -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (a :~~: b) Source toConstr :: (a :~~: b) -> Constr Source dataTypeOf :: (a :~~: b) -> DataType Source dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (a :~~: b)) Source dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (a :~~: b)) Source gmapT :: (forall b0. Data b0 => b0 -> b0) -> (a :~~: b) -> a :~~: b Source gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> (a :~~: b) -> r Source gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> (a :~~: b) -> r Source gmapQ :: (forall d. Data d => d -> u) -> (a :~~: b) -> [u] Source gmapQi :: Int -> (forall d. Data d => d -> u) -> (a :~~: b) -> u Source gmapM :: Monad m => (forall d. Data d => d -> m d) -> (a :~~: b) -> m (a :~~: b) Source gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~~: b) -> m (a :~~: b) Source gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> (a :~~: b) -> m (a :~~: b) Source | |

Ord (a :~~: b) | Since: base-4.10.0.0 |

Defined in Data.Type.Equality ## Methodscompare :: (a :~~: b) -> (a :~~: b) -> Ordering Source (<) :: (a :~~: b) -> (a :~~: b) -> Bool Source (<=) :: (a :~~: b) -> (a :~~: b) -> Bool Source (>) :: (a :~~: b) -> (a :~~: b) -> Bool Source (>=) :: (a :~~: b) -> (a :~~: b) -> Bool Source | |

a ~~ b => Read (a :~~: b) | Since: base-4.10.0.0 |

Show (a :~~: b) | Since: base-4.10.0.0 |

A concrete representation of a (monomorphic) type. `TypeRep`

supports reasonably efficient equality.

TestEquality (TypeRep :: k -> Type) | |

Defined in Data.Typeable.Internal | |

Eq (TypeRep a) | Since: base-2.1 |

Ord (TypeRep a) | Since: base-4.4.0.0 |

Defined in Data.Typeable.Internal | |

Show (TypeRep a) | |

typeOf :: Typeable a => a -> TypeRep a Source

pattern App :: forall k2 (t :: k2). () => forall k1 (a :: k1 -> k2) (b :: k1). t ~ a b => TypeRep a -> TypeRep b -> TypeRep t Source

A type application.

For instance,

typeRep @(Maybe Int) === App (typeRep @Maybe) (typeRep @Int)

Note that this will also match a function type,

typeRep @(Int# -> Char) === App (App arrow (typeRep @Int#)) (typeRep @Char)

where `arrow :: TypeRep ((->) :: TYPE IntRep -> Type -> Type)`

.

pattern Con :: forall k (a :: k). () => IsApplication a ~ "" => TyCon -> TypeRep a Source

Pattern match on a type constructor

pattern Con' :: forall k (a :: k). () => IsApplication a ~ "" => TyCon -> [SomeTypeRep] -> TypeRep a Source

Pattern match on a type constructor including its instantiated kind variables.

For instance,

App (Con' proxyTyCon ks) intRep = typeRep @(Proxy @Int)

will bring into scope,

proxyTyCon :: TyCon ks == [someTypeRep Type] :: [SomeTypeRep] intRep == typeRep Int

pattern Fun :: forall k (fun :: k). () => forall (r1 :: RuntimeRep) (r2 :: RuntimeRep) (arg :: TYPE r1) (res :: TYPE r2). (k ~ Type, fun ~~ (arg -> res)) => TypeRep arg -> TypeRep res -> TypeRep fun Source

The function type constructor.

For instance,

typeRep @(Int -> Char) === Fun (typeRep @Int) (typeRep @Char)

typeRepTyCon :: TypeRep a -> TyCon Source

Observe the type constructor of a type representation

rnfTypeRep :: TypeRep a -> () Source

Helper to fully evaluate `TypeRep`

for use as `NFData(rnf)`

implementation

Since: base-4.8.0.0

eqTypeRep :: forall k1 k2 (a :: k1) (b :: k2). TypeRep a -> TypeRep b -> Maybe (a :~~: b) Source

Type equality

Since: base-4.10

typeRepKind :: TypeRep (a :: k) -> TypeRep k Source

Observe the kind of a type.

splitApps :: TypeRep a -> (TyCon, [SomeTypeRep]) Source

data SomeTypeRep where Source

A non-indexed type representation.

SomeTypeRep :: forall k (a :: k). !(TypeRep a) -> SomeTypeRep |

Eq SomeTypeRep | |

Defined in Data.Typeable.Internal ## Methods(==) :: SomeTypeRep -> SomeTypeRep -> Bool Source (/=) :: SomeTypeRep -> SomeTypeRep -> Bool Source | |

Ord SomeTypeRep | |

Defined in Data.Typeable.Internal ## Methodscompare :: SomeTypeRep -> SomeTypeRep -> Ordering Source (<) :: SomeTypeRep -> SomeTypeRep -> Bool Source (<=) :: SomeTypeRep -> SomeTypeRep -> Bool Source (>) :: SomeTypeRep -> SomeTypeRep -> Bool Source (>=) :: SomeTypeRep -> SomeTypeRep -> Bool Source max :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep Source min :: SomeTypeRep -> SomeTypeRep -> SomeTypeRep Source | |

Show SomeTypeRep | Since: base-4.10.0.0 |

Defined in Data.Typeable.Internal ## MethodsshowsPrec :: Int -> SomeTypeRep -> ShowS Source show :: SomeTypeRep -> String Source showList :: [SomeTypeRep] -> ShowS Source |

someTypeRep :: forall proxy a. Typeable a => proxy a -> SomeTypeRep Source

Takes a value of type `a`

and returns a concrete representation of that type.

Since: base-4.7.0.0

someTypeRepTyCon :: SomeTypeRep -> TyCon Source

Observe the type constructor of a quantified type representation.

rnfSomeTypeRep :: SomeTypeRep -> () Source

Helper to fully evaluate `SomeTypeRep`

for use as `NFData(rnf)`

implementation

Since: base-4.10.0.0

tyConPackage :: TyCon -> String Source

tyConModule :: TyCon -> String Source

tyConName :: TyCon -> String Source

rnfTyCon :: TyCon -> () Source

moduleName :: Module -> String Source

modulePackage :: Module -> String Source

rnfModule :: Module -> () Source

Helper to fully evaluate `TyCon`

for use as `NFData(rnf)`

implementation

Since: base-4.8.0.0

© The University of Glasgow and others

Licensed under a BSD-style license (see top of the page).

https://downloads.haskell.org/~ghc/8.6.1/docs/html/libraries/base-4.12.0.0/Type-Reflection.html