Data.Generics.Fixplate.Functor

Sum and product functors, with the usual instances. You can in principle use these to extend existing expressions, for example

type ExtendedExpression = Mu (Expr :+: Custom)

This module uses the TypeOperators language extension for convenience.

Documentation

data (f :+: g) a infixl 6

Sum of two functors

Constructors

InL (f a)

InR (g a)

Instances

(Functor f, Functor g) => Functor (f :+: g)

Defined in Data.Generics.Fixplate.Functor

Methods

fmap :: (a -> b) -> (f :+: g) a -> (f :+: g) b

(<$) :: a -> (f :+: g) b -> (f :+: g) a

(Foldable f, Foldable g) => Foldable (f :+: g)

Defined in Data.Generics.Fixplate.Functor

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)

Defined in Data.Generics.Fixplate.Functor

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)

(ShowF f, ShowF g) => ShowF (f :+: g)

Defined in Data.Generics.Fixplate.Functor

Methods

showsPrecF :: Show a => Int -> (f :+: g) a -> ShowS

(OrdF f, OrdF g) => OrdF (f :+: g)

Defined in Data.Generics.Fixplate.Functor

Methods

compareF :: Ord a => (f :+: g) a -> (f :+: g) a -> Ordering

(EqF f, EqF g) => EqF (f :+: g)

Defined in Data.Generics.Fixplate.Functor

Methods

equalF :: Eq a => (f :+: g) a -> (f :+: g) a -> Bool

(Eq (f a), Eq (g a)) => Eq ((f :+: g) a)

Defined in Data.Generics.Fixplate.Functor

Methods

(==) :: (f :+: g) a -> (f :+: g) a -> Bool

(/=) :: (f :+: g) a -> (f :+: g) a -> Bool

(Ord (f a), Ord (g a)) => Ord ((f :+: g) a)

Defined in Data.Generics.Fixplate.Functor

Methods

compare :: (f :+: g) a -> (f :+: g) a -> Ordering

(<) :: (f :+: g) a -> (f :+: g) a -> Bool

(<=) :: (f :+: g) a -> (f :+: g) a -> Bool

(>) :: (f :+: g) a -> (f :+: g) a -> Bool

(>=) :: (f :+: g) a -> (f :+: g) a -> Bool

max :: (f :+: g) a -> (f :+: g) a -> (f :+: g) a

min :: (f :+: g) a -> (f :+: g) a -> (f :+: g) a

(Show (f a), Show (g a)) => Show ((f :+: g) a)

Defined in Data.Generics.Fixplate.Functor

Methods

showsPrec :: Int -> (f :+: g) a -> ShowS

show :: (f :+: g) a -> String

showList :: [(f :+: g) a] -> ShowS

data (f :*: g) a infixl 7

Product of two functors

Constructors

(f a) :*: (g a) infixl 7

Instances

(Functor f, Functor g) => Functor (f :*: g)

Defined in Data.Generics.Fixplate.Functor

Methods

fmap :: (a -> b) -> (f :*: g) a -> (f :*: g) b

(<$) :: a -> (f :*: g) b -> (f :*: g) a

(Foldable f, Foldable g) => Foldable (f :*: g)

Defined in Data.Generics.Fixplate.Functor

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)

Defined in Data.Generics.Fixplate.Functor

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)

(ShowF f, ShowF g) => ShowF (f :*: g)

Defined in Data.Generics.Fixplate.Functor

Methods

showsPrecF :: Show a => Int -> (f :*: g) a -> ShowS

(OrdF f, OrdF g) => OrdF (f :*: g)

Defined in Data.Generics.Fixplate.Functor

Methods

compareF :: Ord a => (f :*: g) a -> (f :*: g) a -> Ordering

(EqF f, EqF g) => EqF (f :*: g)

Defined in Data.Generics.Fixplate.Functor

Methods

equalF :: Eq a => (f :*: g) a -> (f :*: g) a -> Bool

(Eq (f a), Eq (g a)) => Eq ((f :*: g) a)

Defined in Data.Generics.Fixplate.Functor

Methods

(==) :: (f :*: g) a -> (f :*: g) a -> Bool

(/=) :: (f :*: g) a -> (f :*: g) a -> Bool

(Ord (f a), Ord (g a)) => Ord ((f :*: g) a)

Defined in Data.Generics.Fixplate.Functor

Methods

compare :: (f :*: g) a -> (f :*: g) a -> Ordering

(<) :: (f :*: g) a -> (f :*: g) a -> Bool

(<=) :: (f :*: g) a -> (f :*: g) a -> Bool

(>) :: (f :*: g) a -> (f :*: g) a -> Bool

(>=) :: (f :*: g) a -> (f :*: g) a -> Bool

max :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a

min :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a

(Show (f a), Show (g a)) => Show ((f :*: g) a)

Defined in Data.Generics.Fixplate.Functor

Methods

showsPrec :: Int -> (f :*: g) a -> ShowS

show :: (f :*: g) a -> String

showList :: [(f :*: g) a] -> ShowS