Safe Haskell	Safe
Language	Haskell2010

Generics.SOP.BasicFunctors

Description

Basic functors.

Definitions of the type-level equivalents of const, id, and (.), and a definition of the lifted function space.

These datatypes are generally useful, but in this library, they're primarily used as parameters for the NP, NS, POP, and SOP types.

Synopsis

Documentation

newtype K a b Source #

The constant type functor.

Like Constant, but kind-polymorphic in its second argument and with a shorter name.

Constructors

K a

Instances

Functor (K * a) Source #
Methods fmap :: (a -> b) -> K * a a -> K * a b # (<$) :: a -> K * a b -> K * a a #
Monoid a => Applicative (K * a) Source #
Methods pure :: a -> K * a a # (<>) :: K a (a -> b) -> K * a a -> K * a b # (>) :: K a a -> K * a b -> K * a b # (<) :: K a a -> K * a b -> K * a a #
Foldable (K * a) Source #
Methods fold :: Monoid m => K * a m -> m # foldMap :: Monoid m => (a -> m) -> K * a a -> m # foldr :: (a -> b -> b) -> b -> K * a a -> b # foldr' :: (a -> b -> b) -> b -> K * a a -> b # foldl :: (b -> a -> b) -> b -> K * a a -> b # foldl' :: (b -> a -> b) -> b -> K * a a -> b # foldr1 :: (a -> a -> a) -> K * a a -> a # foldl1 :: (a -> a -> a) -> K * a a -> a # toList :: K * a a -> [a] # null :: K * a a -> Bool # length :: K * a a -> Int # elem :: Eq a => a -> K * a a -> Bool # maximum :: Ord a => K * a a -> a # minimum :: Ord a => K * a a -> a # sum :: Num a => K * a a -> a # product :: Num a => K * a a -> a #
Traversable (K * a) Source #
Methods traverse :: Applicative f => (a -> f b) -> K * a a -> f (K * a b) # sequenceA :: Applicative f => K * a (f a) -> f (K * a a) # mapM :: Monad m => (a -> m b) -> K * a a -> m (K * a b) # sequence :: Monad m => K * a (m a) -> m (K * a a) #
Show a => Show (K k a b) Source #
Methods showsPrec :: Int -> K k a b -> ShowS # show :: K k a b -> String # showList :: [K k a b] -> ShowS #
Generic (K k a b) Source #
Associated Types type Rep (K k a b) :: * -> * # Methods from :: K k a b -> Rep (K k a b) x # to :: Rep (K k a b) x -> K k a b #
type Rep (K k a b) Source #
type Rep (K k a b) = D1 (MetaData "K" "Generics.SOP.BasicFunctors" "generics-sop-0.2.2.0-9w3u9oOObG6ENcL8IZfj8x" True) (C1 (MetaCons "K" PrefixI False) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Code (K * a0 b0) Source #
type Code (K * a0 b0) = (:) [] ((:) a0 ([] )) ([] [])

unK :: K a b -> a Source #

Extract the contents of a K value.

newtype I a Source #

The identity type functor.

Like Identity, but with a shorter name.

Constructors

I a

Instances

Monad I Source #
Methods (>>=) :: I a -> (a -> I b) -> I b # (>>) :: I a -> I b -> I b # return :: a -> I a # fail :: String -> I a #
Functor I Source #
Methods fmap :: (a -> b) -> I a -> I b # (<$) :: a -> I b -> I a #
Applicative I Source #
Methods pure :: a -> I a # (<>) :: I (a -> b) -> I a -> I b # (>) :: I a -> I b -> I b # (<*) :: I a -> I b -> I a #
Foldable I Source #
Methods fold :: Monoid m => I m -> m # foldMap :: Monoid m => (a -> m) -> I a -> m # foldr :: (a -> b -> b) -> b -> I a -> b # foldr' :: (a -> b -> b) -> b -> I a -> b # foldl :: (b -> a -> b) -> b -> I a -> b # foldl' :: (b -> a -> b) -> b -> I a -> b # foldr1 :: (a -> a -> a) -> I a -> a # foldl1 :: (a -> a -> a) -> I a -> a # toList :: I a -> [a] # null :: I a -> Bool # length :: I a -> Int # elem :: Eq a => a -> I a -> Bool # maximum :: Ord a => I a -> a # minimum :: Ord a => I a -> a # sum :: Num a => I a -> a # product :: Num a => I a -> a #
Traversable I Source #
Methods traverse :: Applicative f => (a -> f b) -> I a -> f (I b) # sequenceA :: Applicative f => I (f a) -> f (I a) # mapM :: Monad m => (a -> m b) -> I a -> m (I b) # sequence :: Monad m => I (m a) -> m (I a) #
Show a => Show (I a) Source #
Methods showsPrec :: Int -> I a -> ShowS # show :: I a -> String # showList :: [I a] -> ShowS #
Generic (I a) Source #
Associated Types type Rep (I a) :: * -> * # Methods from :: I a -> Rep (I a) x # to :: Rep (I a) x -> I a #
type Rep (I a) Source #
type Rep (I a) = D1 (MetaData "I" "Generics.SOP.BasicFunctors" "generics-sop-0.2.2.0-9w3u9oOObG6ENcL8IZfj8x" True) (C1 (MetaCons "I" PrefixI False) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a)))
type Code (I a0) Source #
type Code (I a0) = (:) [] ((:) a0 ([] )) ([] [])

unI :: I a -> a Source #

Extract the contents of an I value.

newtype (f :.: g) p infixr 7 Source #

Composition of functors.

Like Compose, but kind-polymorphic and with a shorter name.

Constructors

Comp (f (g p))

Instances

(Functor f, Functor g) => Functor ((:.:) * * f g) Source #
Methods fmap :: (a -> b) -> (* :.: ) f g a -> ( :.: ) f g b # (<$) :: a -> ( :.: ) f g b -> ( :.: *) f g a #
Show (f (g p)) => Show ((:.:) k l f g p) Source #
Methods showsPrec :: Int -> (k :.: l) f g p -> ShowS # show :: (k :.: l) f g p -> String # showList :: [(k :.: l) f g p] -> ShowS #
Generic ((:.:) k l f g p) Source #
Associated Types type Rep ((:.:) k l f g p) :: * -> * # Methods from :: (k :.: l) f g p -> Rep ((k :.: l) f g p) x # to :: Rep ((k :.: l) f g p) x -> (k :.: l) f g p #
type Rep ((:.:) k l f g p) Source #
type Rep ((:.:) k l f g p) = D1 (MetaData ":.:" "Generics.SOP.BasicFunctors" "generics-sop-0.2.2.0-9w3u9oOObG6ENcL8IZfj8x" True) (C1 (MetaCons "Comp" PrefixI False) (S1 (MetaSel (Nothing Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f (g p)))))
type Code ((:.:) * * f0 g0 p0) Source #
type Code ((:.:) * * f0 g0 p0) = (:) [] ((:) (f0 (g0 p0)) ([] )) ([] [])

unComp :: (f :.: g) p -> f (g p) Source #

Extract the contents of a Comp value.