{-# LANGUAGE CPP #-}
#if __GLASGOW_HASKELL__ >= 702 && __GLASGOW_HASKELL <= 706 && defined(MIN_VERSION_comonad) && !(MIN_VERSION_comonad(3,0,3))
{-# LANGUAGE Trustworthy #-}
#endif
module Data.Semigroupoid.Static
( Static(..)
) where
import Control.Arrow
import Control.Applicative
import Control.Category
import Control.Monad (ap)
import Data.Functor.Apply
import Data.Functor.Plus
import Data.Functor.Extend
import Data.Orphans ()
import Data.Semigroup
import Data.Semigroupoid
import Prelude hiding ((.), id)
#ifdef LANGUAGE_DeriveDataTypeable
import Data.Typeable
#endif
#ifdef MIN_VERSION_comonad
import Control.Comonad
#endif
newtype Static f a b = Static { runStatic :: f (a -> b) }
#ifdef LANGUAGE_DeriveDataTypeable
deriving (Typeable)
#endif
instance Functor f => Functor (Static f a) where
fmap f = Static . fmap (f .) . runStatic
instance Apply f => Apply (Static f a) where
Static f <.> Static g = Static (ap <$> f <.> g)
instance Alt f => Alt (Static f a) where
Static f <!> Static g = Static (f <!> g)
instance Plus f => Plus (Static f a) where
zero = Static zero
instance Applicative f => Applicative (Static f a) where
pure = Static . pure . const
Static f <*> Static g = Static (ap <$> f <*> g)
instance (Extend f, Semigroup a) => Extend (Static f a) where
extended f = Static . extended (\wf m -> f (Static (fmap (. (<>) m) wf))) . runStatic
#ifdef MIN_VERSION_comonad
instance (Comonad f, Monoid a) => Comonad (Static f a) where
extend f = Static . extend (\wf m -> f (Static (fmap (. mappend m) wf))) . runStatic
extract (Static g) = extract g mempty
#endif
instance Apply f => Semigroupoid (Static f) where
Static f `o` Static g = Static ((.) <$> f <.> g)
instance Applicative f => Category (Static f) where
id = Static (pure id)
Static f . Static g = Static ((.) <$> f <*> g)
instance Applicative f => Arrow (Static f) where
arr = Static . pure
first (Static g) = Static (first <$> g)
second (Static g) = Static (second <$> g)
Static g *** Static h = Static ((***) <$> g <*> h)
Static g &&& Static h = Static ((&&&) <$> g <*> h)
instance Alternative f => ArrowZero (Static f) where
zeroArrow = Static empty
instance Alternative f => ArrowPlus (Static f) where
Static f <+> Static g = Static (f <|> g)
instance Applicative f => ArrowChoice (Static f) where
left (Static g) = Static (left <$> g)
right (Static g) = Static (right <$> g)
Static g +++ Static h = Static ((+++) <$> g <*> h)
Static g ||| Static h = Static ((|||) <$> g <*> h)