Safe Haskell	Safe
Language	Haskell2010

Generics.Kind

Contents

Generic representation types
Generic type classes
Bridging with GHC.Generics

Description

Main module of kind-generics. Please refer to the README file for documentation on how to use this package.

Synopsis

data ((f :: k -> Type) :+: (g :: k -> Type)) (p :: k) :: forall k. (k -> Type) -> (k -> Type) -> k -> Type
- = L1 (f p)
- | R1 (g p)
data ((f :: k -> Type) :*: (g :: k -> Type)) (p :: k) :: forall k. (k -> Type) -> (k -> Type) -> k -> Type = (f p) :*: (g p)
data U1 (p :: k) :: forall k. k -> Type = U1
newtype M1 i (c :: Meta) (f :: k -> Type) (p :: k) :: forall k. Type -> Meta -> (k -> Type) -> k -> Type = M1 {
- unM1 :: f p
}
newtype F (t :: Atom d *) (x :: LoT d) = F {
- unF :: Ty t x
}
data ((c :: Atom d Constraint) :=>: (f :: LoT d -> *)) (x :: LoT d) where
- C :: Ty c x => f x -> (c :=>: f) x
data E (f :: LoT (k -> d) -> *) (x :: LoT d) where
- E :: forall (t :: k) d (f :: LoT (k -> d) -> *) (x :: LoT d). f (t :&&: x) -> E f x
data ERefl (f :: LoT (k -> d) -> *) (x :: LoT d) where
- ERefl :: forall (t :: k) d (f :: LoT (k -> d) -> *) (x :: LoT d). Typeable t => f (t :&&: x) -> ERefl f x
class GenericK (f :: k) (x :: LoT k) where
- type RepK f :: LoT k -> *
- fromK :: (f :@@: x) -> RepK f x
- toK :: RepK f x -> f :@@: x
type GenericF t f x = (GenericK f x, x ~ SplitF t f, t ~ (f :@@: x))
fromF :: forall f t x. GenericF t f x => t -> RepK f x
toF :: forall f t x. GenericF t f x => RepK f x -> t
type GenericN n t f x = (GenericK f x, TyEnv f x ~ SplitN n t, t ~ (f :@@: x))
fromN :: forall n t f x. GenericN n t f x => t -> RepK f x
toN :: forall n t f x. GenericN n t f x => RepK f x -> t
type GenericS t f x = (Split t f x, GenericK f x)
fromS :: forall t f x. GenericS t f x => t -> RepK f x
toS :: forall t f x. GenericS t f x => RepK f x -> t
class Conv (gg :: * -> *) (kg :: LoT d -> *) (tys :: LoT d) where
- toGhcGenerics :: kg tys -> gg a
- toKindGenerics :: gg a -> kg tys

Generic representation types

data ((f :: k -> Type) :+: (g :: k -> Type)) (p :: k) :: forall k. (k -> Type) -> (k -> Type) -> k -> Type infixr 5 #

Sums: encode choice between constructors

Constructors

L1 (f p)
R1 (g p)

Instances

Generic1 (f :+: g :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (f :+: g) :: k -> Type # Methods from1 :: (f :+: g) a -> Rep1 (f :+: g) a # to1 :: Rep1 (f :+: g) a -> (f :+: g) a #
(Conv f f' tys, Conv g g' tys) => Conv (f :+: g) (f' :+: g' :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: (f' :+: g') tys -> (f :+: g) a Source # toKindGenerics :: (f :+: g) a -> (f' :+: g') tys Source #
(Functor f, Functor g) => Functor (f :+: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b # (<$) :: a -> (f :+: g) b -> (f :+: g) a #
(Foldable f, Foldable g) => Foldable (f :+: g)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :+: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldr1 :: (a -> a -> a) -> (f :+: g) a -> a # foldl1 :: (a -> a -> a) -> (f :+: g) a -> a # toList :: (f :+: g) a -> [a] # null :: (f :+: g) a -> Bool # length :: (f :+: g) a -> Int # elem :: Eq a => a -> (f :+: g) a -> Bool # maximum :: Ord a => (f :+: g) a -> a # minimum :: Ord a => (f :+: g) a -> a # sum :: Num a => (f :+: g) a -> a # product :: Num a => (f :+: g) a -> a #
(Traversable f, Traversable g) => Traversable (f :+: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) # sequenceA :: Applicative f0 => (f :+: g) (f0 a) -> f0 ((f :+: g) a) # mapM :: Monad m => (a -> m b) -> (f :+: g) a -> m ((f :+: g) b) # sequence :: Monad m => (f :+: g) (m a) -> m ((f :+: g) a) #
(Eq (f p), Eq (g p)) => Eq ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods (==) :: (f :+: g) p -> (f :+: g) p -> Bool # (/=) :: (f :+: g) p -> (f :+: g) p -> Bool #
(Ord (f p), Ord (g p)) => Ord ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: (f :+: g) p -> (f :+: g) p -> Ordering # (<) :: (f :+: g) p -> (f :+: g) p -> Bool # (<=) :: (f :+: g) p -> (f :+: g) p -> Bool # (>) :: (f :+: g) p -> (f :+: g) p -> Bool # (>=) :: (f :+: g) p -> (f :+: g) p -> Bool # max :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p # min :: (f :+: g) p -> (f :+: g) p -> (f :+: g) p #
(Read (f p), Read (g p)) => Read ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS ((f :+: g) p) # readList :: ReadS [(f :+: g) p] # readPrec :: ReadPrec ((f :+: g) p) # readListPrec :: ReadPrec [(f :+: g) p] #
(Show (f p), Show (g p)) => Show ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> (f :+: g) p -> ShowS # show :: (f :+: g) p -> String # showList :: [(f :+: g) p] -> ShowS #
Generic ((f :+: g) p)
Instance details Defined in GHC.Generics Associated Types type Rep ((f :+: g) p) :: Type -> Type # Methods from :: (f :+: g) p -> Rep ((f :+: g) p) x # to :: Rep ((f :+: g) p) x -> (f :+: g) p #
type Rep1 (f :+: g :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (f :+: g :: k -> Type) = D1 (MetaData ":+:" "GHC.Generics" "base" False) (C1 (MetaCons "L1" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f)) :+: C1 (MetaCons "R1" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 g)))
type Rep ((f :+: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep ((f :+: g) p) = D1 (MetaData ":+:" "GHC.Generics" "base" False) (C1 (MetaCons "L1" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f p))) :+: C1 (MetaCons "R1" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (g p))))

data ((f :: k -> Type) :*: (g :: k -> Type)) (p :: k) :: forall k. (k -> Type) -> (k -> Type) -> k -> Type infixr 6 #

Products: encode multiple arguments to constructors

Constructors

(f p) :*: (g p) infixr 6

Instances

Generic1 (f :*: g :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (f :: g) :: k -> Type # Methods from1 :: (f :: g) a -> Rep1 (f :: g) a # to1 :: Rep1 (f :: g) a -> (f :*: g) a #
(Conv f f' tys, Conv g g' tys) => Conv (f :: g) (f' :: g' :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: (f' :: g') tys -> (f :: g) a Source # toKindGenerics :: (f :: g) a -> (f' :: g') tys Source #
(Monad f, Monad g) => Monad (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: (f :: g) a -> (a -> (f :: g) b) -> (f :: g) b # (>>) :: (f :: g) a -> (f :: g) b -> (f :: g) b # return :: a -> (f :: g) a # fail :: String -> (f :: g) a #
(Functor f, Functor g) => Functor (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> (f :: g) a -> (f :: g) b # (<$) :: a -> (f :: g) b -> (f :: g) a #
(Applicative f, Applicative g) => Applicative (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> (f :: g) a # (<>) :: (f :: g) (a -> b) -> (f :: g) a -> (f :: g) b # liftA2 :: (a -> b -> c) -> (f :: g) a -> (f :: g) b -> (f :: g) c # (>) :: (f :: g) a -> (f :: g) b -> (f :: g) b # (<) :: (f :: g) a -> (f :: g) b -> (f :: g) a #
(Foldable f, Foldable g) => Foldable (f :*: g)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :: g) a -> b # foldr1 :: (a -> a -> a) -> (f :: g) a -> a # foldl1 :: (a -> a -> a) -> (f :: g) a -> a # toList :: (f :: g) a -> [a] # null :: (f :: g) a -> Bool # length :: (f :: g) a -> Int # elem :: Eq a => a -> (f :: g) a -> Bool # maximum :: Ord a => (f :: g) a -> a # minimum :: Ord a => (f :: g) a -> a # sum :: Num a => (f :: g) a -> a # product :: Num a => (f :: g) a -> a #
(Traversable f, Traversable g) => Traversable (f :*: g)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> (f :: g) a -> f0 ((f :: g) b) # sequenceA :: Applicative f0 => (f :: g) (f0 a) -> f0 ((f :: g) a) # mapM :: Monad m => (a -> m b) -> (f :: g) a -> m ((f :: g) b) # sequence :: Monad m => (f :: g) (m a) -> m ((f :: g) a) #
(Alternative f, Alternative g) => Alternative (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: (f :: g) a # (<\|>) :: (f :: g) a -> (f :: g) a -> (f :: g) a # some :: (f :: g) a -> (f :: g) [a] # many :: (f :: g) a -> (f :: g) [a] #
(MonadPlus f, MonadPlus g) => MonadPlus (f :*: g)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods mzero :: (f :: g) a # mplus :: (f :: g) a -> (f :: g) a -> (f :: g) a #
(Eq (f p), Eq (g p)) => Eq ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods (==) :: (f :: g) p -> (f :: g) p -> Bool # (/=) :: (f :: g) p -> (f :: g) p -> Bool #
(Ord (f p), Ord (g p)) => Ord ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: (f :: g) p -> (f :: g) p -> Ordering # (<) :: (f :: g) p -> (f :: g) p -> Bool # (<=) :: (f :: g) p -> (f :: g) p -> Bool # (>) :: (f :: g) p -> (f :: g) p -> Bool # (>=) :: (f :: g) p -> (f :: g) p -> Bool # max :: (f :: g) p -> (f :: g) p -> (f :: g) p # min :: (f :: g) p -> (f :: g) p -> (f :: g) p #
(Read (f p), Read (g p)) => Read ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS ((f :: g) p) # readList :: ReadS [(f :: g) p] # readPrec :: ReadPrec ((f :: g) p) # readListPrec :: ReadPrec [(f :: g) p] #
(Show (f p), Show (g p)) => Show ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> (f :: g) p -> ShowS # show :: (f :: g) p -> String # showList :: [(f :*: g) p] -> ShowS #
Generic ((f :*: g) p)
Instance details Defined in GHC.Generics Associated Types type Rep ((f :: g) p) :: Type -> Type # Methods from :: (f :: g) p -> Rep ((f :: g) p) x # to :: Rep ((f :: g) p) x -> (f :*: g) p #
(Semigroup (f p), Semigroup (g p)) => Semigroup ((f :*: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: (f :: g) p -> (f :: g) p -> (f :: g) p # sconcat :: NonEmpty ((f :: g) p) -> (f :: g) p # stimes :: Integral b => b -> (f :: g) p -> (f :*: g) p #
(Monoid (f p), Monoid (g p)) => Monoid ((f :*: g) p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: (f :: g) p # mappend :: (f :: g) p -> (f :: g) p -> (f :: g) p # mconcat :: [(f :: g) p] -> (f :: g) p #
type Rep1 (f :*: g :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (f :: g :: k -> Type) = D1 (MetaData "::" "GHC.Generics" "base" False) (C1 (MetaCons "::" (InfixI RightAssociative 6) False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f) :: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 g)))
type Rep ((f :*: g) p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep ((f :: g) p) = D1 (MetaData "::" "GHC.Generics" "base" False) (C1 (MetaCons "::" (InfixI RightAssociative 6) False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f p)) :: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (g p))))

data U1 (p :: k) :: forall k. k -> Type #

Unit: used for constructors without arguments

Constructors

U1

Instances

Generic1 (U1 :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 U1 :: k -> Type # Methods from1 :: U1 a -> Rep1 U1 a # to1 :: Rep1 U1 a -> U1 a #
Conv (U1 :: Type -> Type) (U1 :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: U1 tys -> U1 a Source # toKindGenerics :: U1 a -> U1 tys Source #
Monad (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: U1 a -> (a -> U1 b) -> U1 b # (>>) :: U1 a -> U1 b -> U1 b # return :: a -> U1 a # fail :: String -> U1 a #
Functor (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> U1 a -> U1 b # (<$) :: a -> U1 b -> U1 a #
Applicative (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> U1 a # (<>) :: U1 (a -> b) -> U1 a -> U1 b # liftA2 :: (a -> b -> c) -> U1 a -> U1 b -> U1 c # (>) :: U1 a -> U1 b -> U1 b # (<*) :: U1 a -> U1 b -> U1 a #
Foldable (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => U1 m -> m # foldMap :: Monoid m => (a -> m) -> U1 a -> m # foldr :: (a -> b -> b) -> b -> U1 a -> b # foldr' :: (a -> b -> b) -> b -> U1 a -> b # foldl :: (b -> a -> b) -> b -> U1 a -> b # foldl' :: (b -> a -> b) -> b -> U1 a -> b # foldr1 :: (a -> a -> a) -> U1 a -> a # foldl1 :: (a -> a -> a) -> U1 a -> a # toList :: U1 a -> [a] # null :: U1 a -> Bool # length :: U1 a -> Int # elem :: Eq a => a -> U1 a -> Bool # maximum :: Ord a => U1 a -> a # minimum :: Ord a => U1 a -> a # sum :: Num a => U1 a -> a # product :: Num a => U1 a -> a #
Traversable (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> U1 a -> f (U1 b) # sequenceA :: Applicative f => U1 (f a) -> f (U1 a) # mapM :: Monad m => (a -> m b) -> U1 a -> m (U1 b) # sequence :: Monad m => U1 (m a) -> m (U1 a) #
Alternative (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: U1 a # (<\|>) :: U1 a -> U1 a -> U1 a # some :: U1 a -> U1 [a] # many :: U1 a -> U1 [a] #
MonadPlus (U1 :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods mzero :: U1 a # mplus :: U1 a -> U1 a -> U1 a #
Eq (U1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (==) :: U1 p -> U1 p -> Bool # (/=) :: U1 p -> U1 p -> Bool #
Ord (U1 p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: U1 p -> U1 p -> Ordering # (<) :: U1 p -> U1 p -> Bool # (<=) :: U1 p -> U1 p -> Bool # (>) :: U1 p -> U1 p -> Bool # (>=) :: U1 p -> U1 p -> Bool # max :: U1 p -> U1 p -> U1 p # min :: U1 p -> U1 p -> U1 p #
Read (U1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (U1 p) # readList :: ReadS [U1 p] # readPrec :: ReadPrec (U1 p) # readListPrec :: ReadPrec [U1 p] #
Show (U1 p)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> U1 p -> ShowS # show :: U1 p -> String # showList :: [U1 p] -> ShowS #
Generic (U1 p)
Instance details Defined in GHC.Generics Associated Types type Rep (U1 p) :: Type -> Type # Methods from :: U1 p -> Rep (U1 p) x # to :: Rep (U1 p) x -> U1 p #
Semigroup (U1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: U1 p -> U1 p -> U1 p # sconcat :: NonEmpty (U1 p) -> U1 p # stimes :: Integral b => b -> U1 p -> U1 p #
Monoid (U1 p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: U1 p # mappend :: U1 p -> U1 p -> U1 p # mconcat :: [U1 p] -> U1 p #
type Rep1 (U1 :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (U1 :: k -> Type) = D1 (MetaData "U1" "GHC.Generics" "base" False) (C1 (MetaCons "U1" PrefixI False) (U1 :: k -> Type))
type Rep (U1 p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep (U1 p) = D1 (MetaData "U1" "GHC.Generics" "base" False) (C1 (MetaCons "U1" PrefixI False) (U1 :: Type -> Type))

newtype M1 i (c :: Meta) (f :: k -> Type) (p :: k) :: forall k. Type -> Meta -> (k -> Type) -> k -> Type #

Meta-information (constructor names, etc.)

Constructors

M1
Fields unM1 :: f p

Instances

Generic1 (M1 i c f :: k -> Type)
Instance details Defined in GHC.Generics Associated Types type Rep1 (M1 i c f) :: k -> Type # Methods from1 :: M1 i c f a -> Rep1 (M1 i c f) a # to1 :: Rep1 (M1 i c f) a -> M1 i c f a #
Conv f f' tys => Conv (M1 i c f) (f' :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: f' tys -> M1 i c f a Source # toKindGenerics :: M1 i c f a -> f' tys Source #
Conv f f' tys => Conv (M1 i c f) (M1 i c f' :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: M1 i c f' tys -> M1 i c f a Source # toKindGenerics :: M1 i c f a -> M1 i c f' tys Source #
Monad f => Monad (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods (>>=) :: M1 i c f a -> (a -> M1 i c f b) -> M1 i c f b # (>>) :: M1 i c f a -> M1 i c f b -> M1 i c f b # return :: a -> M1 i c f a # fail :: String -> M1 i c f a #
Functor f => Functor (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods fmap :: (a -> b) -> M1 i c f a -> M1 i c f b # (<$) :: a -> M1 i c f b -> M1 i c f a #
Applicative f => Applicative (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods pure :: a -> M1 i c f a # (<>) :: M1 i c f (a -> b) -> M1 i c f a -> M1 i c f b # liftA2 :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 # (>) :: M1 i c f a -> M1 i c f b -> M1 i c f b # (<*) :: M1 i c f a -> M1 i c f b -> M1 i c f a #
Foldable f => Foldable (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => M1 i c f m -> m # foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m # foldr :: (a -> b -> b) -> b -> M1 i c f a -> b # foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b # foldl :: (b -> a -> b) -> b -> M1 i c f a -> b # foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b # foldr1 :: (a -> a -> a) -> M1 i c f a -> a # foldl1 :: (a -> a -> a) -> M1 i c f a -> a # toList :: M1 i c f a -> [a] # null :: M1 i c f a -> Bool # length :: M1 i c f a -> Int # elem :: Eq a => a -> M1 i c f a -> Bool # maximum :: Ord a => M1 i c f a -> a # minimum :: Ord a => M1 i c f a -> a # sum :: Num a => M1 i c f a -> a # product :: Num a => M1 i c f a -> a #
Traversable f => Traversable (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) # sequenceA :: Applicative f0 => M1 i c f (f0 a) -> f0 (M1 i c f a) # mapM :: Monad m => (a -> m b) -> M1 i c f a -> m (M1 i c f b) # sequence :: Monad m => M1 i c f (m a) -> m (M1 i c f a) #
Alternative f => Alternative (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods empty :: M1 i c f a # (<\|>) :: M1 i c f a -> M1 i c f a -> M1 i c f a # some :: M1 i c f a -> M1 i c f [a] # many :: M1 i c f a -> M1 i c f [a] #
MonadPlus f => MonadPlus (M1 i c f)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics Methods mzero :: M1 i c f a # mplus :: M1 i c f a -> M1 i c f a -> M1 i c f a #
Eq (f p) => Eq (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods (==) :: M1 i c f p -> M1 i c f p -> Bool # (/=) :: M1 i c f p -> M1 i c f p -> Bool #
Ord (f p) => Ord (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods compare :: M1 i c f p -> M1 i c f p -> Ordering # (<) :: M1 i c f p -> M1 i c f p -> Bool # (<=) :: M1 i c f p -> M1 i c f p -> Bool # (>) :: M1 i c f p -> M1 i c f p -> Bool # (>=) :: M1 i c f p -> M1 i c f p -> Bool # max :: M1 i c f p -> M1 i c f p -> M1 i c f p # min :: M1 i c f p -> M1 i c f p -> M1 i c f p #
Read (f p) => Read (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods readsPrec :: Int -> ReadS (M1 i c f p) # readList :: ReadS [M1 i c f p] # readPrec :: ReadPrec (M1 i c f p) # readListPrec :: ReadPrec [M1 i c f p] #
Show (f p) => Show (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics Methods showsPrec :: Int -> M1 i c f p -> ShowS # show :: M1 i c f p -> String # showList :: [M1 i c f p] -> ShowS #
Generic (M1 i c f p)
Instance details Defined in GHC.Generics Associated Types type Rep (M1 i c f p) :: Type -> Type # Methods from :: M1 i c f p -> Rep (M1 i c f p) x # to :: Rep (M1 i c f p) x -> M1 i c f p #
Semigroup (f p) => Semigroup (M1 i c f p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods (<>) :: M1 i c f p -> M1 i c f p -> M1 i c f p # sconcat :: NonEmpty (M1 i c f p) -> M1 i c f p # stimes :: Integral b => b -> M1 i c f p -> M1 i c f p #
Monoid (f p) => Monoid (M1 i c f p)	Since: base-4.12.0.0
Instance details Defined in GHC.Generics Methods mempty :: M1 i c f p # mappend :: M1 i c f p -> M1 i c f p -> M1 i c f p # mconcat :: [M1 i c f p] -> M1 i c f p #
type Rep1 (M1 i c f :: k -> Type)	Since: base-4.9.0.0
Instance details Defined in GHC.Generics type Rep1 (M1 i c f :: k -> Type) = D1 (MetaData "M1" "GHC.Generics" "base" True) (C1 (MetaCons "M1" PrefixI True) (S1 (MetaSel (Just "unM1") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec1 f)))
type Rep (M1 i c f p)	Since: base-4.7.0.0
Instance details Defined in GHC.Generics type Rep (M1 i c f p) = D1 (MetaData "M1" "GHC.Generics" "base" True) (C1 (MetaCons "M1" PrefixI True) (S1 (MetaSel (Just "unM1") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f p))))

newtype F (t :: Atom d *) (x :: LoT d) Source #

Fields: used to represent each of the (visible) arguments to a constructor. Replaces the K1 type from GHC.Generics. The type of the field is represented by an Atom from Data.PolyKinded.Atom.

instance GenericK [] (a :&&: LoT0) where
  type RepK [] = F V0 :*: F ([] :$: V0)

Constructors

F
Fields unF :: Ty t x

Instances

k ~ Ty t tys => Conv (K1 p k :: Type -> Type) (F t :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: F t tys -> K1 p k a Source # toKindGenerics :: K1 p k a -> F t tys Source #
Show (Ty t x) => Show (F t x) Source #
Instance details Defined in Generics.Kind Methods showsPrec :: Int -> F t x -> ShowS # show :: F t x -> String # showList :: [F t x] -> ShowS #

data ((c :: Atom d Constraint) :=>: (f :: LoT d -> *)) (x :: LoT d) where Source #

Constraints: used to represent constraints in a constructor. Replaces the '(:=>:)' type from GHC.Generics.Extra.

data Showable a = Show a => a -> X a

instance GenericK Showable (a :&&: LoT0) where
  type RepK Showable = (Show :$: a) :=>: (F V0)

Constructors

C :: Ty c x => f x -> (c :=>: f) x

Instances

(k ~ Ty t tys, Conv f f' tys) => Conv (k :=>: f) (t :=>: f' :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: (t :=>: f') tys -> (k :=>: f) a Source # toKindGenerics :: (k :=>: f) a -> (t :=>: f') tys Source #

data E (f :: LoT (k -> d) -> *) (x :: LoT d) where Source #

Existentials: a representation of the form E f describes a constructor whose inner type is represented by f, and where the type variable at index 0, V0, is existentially quantified.

data Exists where
 E :: t -> Exists

instance GenericK Exists LoT0 where
  type RepK Exists = E (F V0)

Constructors

E :: forall (t :: k) d (f :: LoT (k -> d) -> *) (x :: LoT d). f (t :&&: x) -> E f x

data ERefl (f :: LoT (k -> d) -> *) (x :: LoT d) where Source #

Existentials with reflection: similar to E, but in addition we remember the type of the existential variable.

data Exists where
 E :: Typeable t => t -> Exists

instance GenericK Exists LoT0 where
  type RepK Exists = ERefl (F V0)

Constructors

ERefl :: forall (t :: k) d (f :: LoT (k -> d) -> *) (x :: LoT d). Typeable t => f (t :&&: x) -> ERefl f x

Generic type classes

class GenericK (f :: k) (x :: LoT k) where Source #

Representable types of any kind. The definition of an instance must mention the type constructor along with a list of types of the corresponding length. For example:

instance GenericK Int    LoT0
instance GenericK []     (a :&&: LoT0)
instance GenericK Either (a :&&: b :&&: LoT0)

Minimal complete definition

Nothing

Associated Types

type RepK f :: LoT k -> * Source #

Methods

fromK :: (f :@@: x) -> RepK f x Source #

Convert the data type to its representation.

fromK :: (Generic (f :@@: x), Conv (Rep (f :@@: x)) (RepK f) x) => (f :@@: x) -> RepK f x Source #

Convert the data type to its representation.

toK :: RepK f x -> f :@@: x Source #

Convert from a representation to its corresponding data type.

toK :: (Generic (f :@@: x), Conv (Rep (f :@@: x)) (RepK f) x) => RepK f x -> f :@@: x Source #

Convert from a representation to its corresponding data type.

Instances

GenericK Maybe (a :&&: LoT0 :: LoT (Type -> Type)) Source #
Instance details Defined in Generics.Kind.Examples Associated Types type RepK Maybe :: LoT k -> Type Source # Methods fromK :: (Maybe :@@: (a :&&: LoT0)) -> RepK Maybe (a :&&: LoT0) Source # toK :: RepK Maybe (a :&&: LoT0) -> Maybe :@@: (a :&&: LoT0) Source #
GenericK WeirdTreeR (a :&&: LoT0 :: LoT (Type -> Type)) Source #
Instance details Defined in Generics.Kind.Examples Associated Types type RepK WeirdTreeR :: LoT k -> Type Source # Methods fromK :: (WeirdTreeR :@@: (a :&&: LoT0)) -> RepK WeirdTreeR (a :&&: LoT0) Source # toK :: RepK WeirdTreeR (a :&&: LoT0) -> WeirdTreeR :@@: (a :&&: LoT0) Source #
GenericK WeirdTree (a :&&: LoT0 :: LoT (Type -> Type)) Source #
Instance details Defined in Generics.Kind.Examples Associated Types type RepK WeirdTree :: LoT k -> Type Source # Methods fromK :: (WeirdTree :@@: (a :&&: LoT0)) -> RepK WeirdTree (a :&&: LoT0) Source # toK :: RepK WeirdTree (a :&&: LoT0) -> WeirdTree :@@: (a :&&: LoT0) Source #
GenericK Tree (a :&&: LoT0 :: LoT (Type -> Type)) Source #
Instance details Defined in Generics.Kind.Examples Associated Types type RepK Tree :: LoT k -> Type Source # Methods fromK :: (Tree :@@: (a :&&: LoT0)) -> RepK Tree (a :&&: LoT0) Source # toK :: RepK Tree (a :&&: LoT0) -> Tree :@@: (a :&&: LoT0) Source #

type GenericF t f x = (GenericK f x, x ~ SplitF t f, t ~ (f :@@: x)) Source #

fromF :: forall f t x. GenericF t f x => t -> RepK f x Source #

toF :: forall f t x. GenericF t f x => RepK f x -> t Source #

type GenericN n t f x = (GenericK f x, TyEnv f x ~ SplitN n t, t ~ (f :@@: x)) Source #

fromN :: forall n t f x. GenericN n t f x => t -> RepK f x Source #

toN :: forall n t f x. GenericN n t f x => RepK f x -> t Source #

type GenericS t f x = (Split t f x, GenericK f x) Source #

GenericS t f x states that the ground type t is split by default as the constructor f and a list of types @x$, and that a GenericK instance exists for that constructor.

This constraint provides an external interface similar to that provided by Generic in GHC.Generics.

fromS :: forall t f x. GenericS t f x => t -> RepK f x Source #

toS :: forall t f x. GenericS t f x => RepK f x -> t Source #

Bridging with GHC.Generics

class Conv (gg :: * -> *) (kg :: LoT d -> *) (tys :: LoT d) where Source #

Bridges a representation of a data type using the combinators in GHC.Generics with a representation using this module. You are never expected to manipulate this type class directly, it is part of the deriving mechanism for GenericK.

Methods

toGhcGenerics :: kg tys -> gg a Source #

toKindGenerics :: gg a -> kg tys Source #

Instances

Conv (U1 :: Type -> Type) (U1 :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: U1 tys -> U1 a Source # toKindGenerics :: U1 a -> U1 tys Source #
k ~ Ty t tys => Conv (K1 p k :: Type -> Type) (F t :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: F t tys -> K1 p k a Source # toKindGenerics :: K1 p k a -> F t tys Source #
(k ~ Ty t tys, Conv f f' tys) => Conv (k :=>: f) (t :=>: f' :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: (t :=>: f') tys -> (k :=>: f) a Source # toKindGenerics :: (k :=>: f) a -> (t :=>: f') tys Source #
(Conv f f' tys, Conv g g' tys) => Conv (f :: g) (f' :: g' :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: (f' :: g') tys -> (f :: g) a Source # toKindGenerics :: (f :: g) a -> (f' :: g') tys Source #
(Conv f f' tys, Conv g g' tys) => Conv (f :+: g) (f' :+: g' :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: (f' :+: g') tys -> (f :+: g) a Source # toKindGenerics :: (f :+: g) a -> (f' :+: g') tys Source #
Conv f f' tys => Conv (M1 i c f) (f' :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: f' tys -> M1 i c f a Source # toKindGenerics :: M1 i c f a -> f' tys Source #
Conv f f' tys => Conv (M1 i c f) (M1 i c f' :: LoT d -> Type) (tys :: LoT d) Source #
Instance details Defined in Generics.Kind Methods toGhcGenerics :: M1 i c f' tys -> M1 i c f a Source # toKindGenerics :: M1 i c f a -> M1 i c f' tys Source #