#if __GLASGOW_HASKELL__ < 708
#endif
module Control.Lens.Internal.Zoom
(
Focusing(..)
, FocusingWith(..)
, FocusingPlus(..)
, FocusingOn(..)
, FocusingMay(..), May(..)
, FocusingErr(..), Err(..)
, FocusingFree(..), Freed(..)
, Effect(..)
, EffectRWS(..)
) where
import Control.Applicative
import Control.Category
import Control.Comonad
import Control.Monad.Reader as Reader
import Control.Monad.Trans.Free
import Data.Functor.Bind
import Data.Functor.Contravariant
import Data.Semigroup
import Prelude hiding ((.),id)
newtype Focusing m s a = Focusing { unfocusing :: m (s, a) }
instance Monad m => Functor (Focusing m s) where
fmap f (Focusing m) = Focusing $ do
(s, a) <- m
return (s, f a)
instance (Monad m, Semigroup s) => Apply (Focusing m s) where
Focusing mf <.> Focusing ma = Focusing $ do
(s, f) <- mf
(s', a) <- ma
return (s <> s', f a)
instance (Monad m, Monoid s) => Applicative (Focusing m s) where
pure a = Focusing (return (mempty, a))
Focusing mf <*> Focusing ma = Focusing $ do
(s, f) <- mf
(s', a) <- ma
return (mappend s s', f a)
newtype FocusingWith w m s a = FocusingWith { unfocusingWith :: m (s, a, w) }
instance Monad m => Functor (FocusingWith w m s) where
fmap f (FocusingWith m) = FocusingWith $ do
(s, a, w) <- m
return (s, f a, w)
instance (Monad m, Semigroup s, Semigroup w) => Apply (FocusingWith w m s) where
FocusingWith mf <.> FocusingWith ma = FocusingWith $ do
(s, f, w) <- mf
(s', a, w') <- ma
return (s <> s', f a, w <> w')
instance (Monad m, Monoid s, Monoid w) => Applicative (FocusingWith w m s) where
pure a = FocusingWith (return (mempty, a, mempty))
FocusingWith mf <*> FocusingWith ma = FocusingWith $ do
(s, f, w) <- mf
(s', a, w') <- ma
return (mappend s s', f a, mappend w w')
newtype FocusingPlus w k s a = FocusingPlus { unfocusingPlus :: k (s, w) a }
instance Functor (k (s, w)) => Functor (FocusingPlus w k s) where
fmap f (FocusingPlus as) = FocusingPlus (fmap f as)
instance Apply (k (s, w)) => Apply (FocusingPlus w k s) where
FocusingPlus kf <.> FocusingPlus ka = FocusingPlus (kf <.> ka)
instance Applicative (k (s, w)) => Applicative (FocusingPlus w k s) where
pure = FocusingPlus . pure
FocusingPlus kf <*> FocusingPlus ka = FocusingPlus (kf <*> ka)
newtype FocusingOn f k s a = FocusingOn { unfocusingOn :: k (f s) a }
instance Functor (k (f s)) => Functor (FocusingOn f k s) where
fmap f (FocusingOn as) = FocusingOn (fmap f as)
instance Apply (k (f s)) => Apply (FocusingOn f k s) where
FocusingOn kf <.> FocusingOn ka = FocusingOn (kf <.> ka)
instance Applicative (k (f s)) => Applicative (FocusingOn f k s) where
pure = FocusingOn . pure
FocusingOn kf <*> FocusingOn ka = FocusingOn (kf <*> ka)
newtype May a = May { getMay :: Maybe a }
instance Semigroup a => Semigroup (May a) where
May Nothing <> _ = May Nothing
_ <> May Nothing = May Nothing
May (Just a) <> May (Just b) = May (Just (a <> b))
instance Monoid a => Monoid (May a) where
mempty = May (Just mempty)
May Nothing `mappend` _ = May Nothing
_ `mappend` May Nothing = May Nothing
May (Just a) `mappend` May (Just b) = May (Just (mappend a b))
newtype FocusingMay k s a = FocusingMay { unfocusingMay :: k (May s) a }
instance Functor (k (May s)) => Functor (FocusingMay k s) where
fmap f (FocusingMay as) = FocusingMay (fmap f as)
instance Apply (k (May s)) => Apply (FocusingMay k s) where
FocusingMay kf <.> FocusingMay ka = FocusingMay (kf <.> ka)
instance Applicative (k (May s)) => Applicative (FocusingMay k s) where
pure = FocusingMay . pure
FocusingMay kf <*> FocusingMay ka = FocusingMay (kf <*> ka)
newtype Err e a = Err { getErr :: Either e a }
instance Semigroup a => Semigroup (Err e a) where
Err (Left e) <> _ = Err (Left e)
_ <> Err (Left e) = Err (Left e)
Err (Right a) <> Err (Right b) = Err (Right (a <> b))
instance Monoid a => Monoid (Err e a) where
mempty = Err (Right mempty)
Err (Left e) `mappend` _ = Err (Left e)
_ `mappend` Err (Left e) = Err (Left e)
Err (Right a) `mappend` Err (Right b) = Err (Right (mappend a b))
newtype FocusingErr e k s a = FocusingErr { unfocusingErr :: k (Err e s) a }
instance Functor (k (Err e s)) => Functor (FocusingErr e k s) where
fmap f (FocusingErr as) = FocusingErr (fmap f as)
instance Apply (k (Err e s)) => Apply (FocusingErr e k s) where
FocusingErr kf <.> FocusingErr ka = FocusingErr (kf <.> ka)
instance Applicative (k (Err e s)) => Applicative (FocusingErr e k s) where
pure = FocusingErr . pure
FocusingErr kf <*> FocusingErr ka = FocusingErr (kf <*> ka)
newtype Freed f m a = Freed { getFreed :: FreeF f a (FreeT f m a) }
instance (Applicative f, Semigroup a, Monad m) => Semigroup (Freed f m a) where
Freed (Pure a) <> Freed (Pure b) = Freed $ Pure $ a <> b
Freed (Pure a) <> Freed (Free g) = Freed $ Free $ liftA2 (liftM2 (<>)) (pure $ return a) g
Freed (Free f) <> Freed (Pure b) = Freed $ Free $ liftA2 (liftM2 (<>)) f (pure $ return b)
Freed (Free f) <> Freed (Free g) = Freed $ Free $ liftA2 (liftM2 (<>)) f g
instance (Applicative f, Monoid a, Monad m) => Monoid (Freed f m a) where
mempty = Freed $ Pure mempty
Freed (Pure a) `mappend` Freed (Pure b) = Freed $ Pure $ a `mappend` b
Freed (Pure a) `mappend` Freed (Free g) = Freed $ Free $ liftA2 (liftM2 mappend) (pure $ return a) g
Freed (Free f) `mappend` Freed (Pure b) = Freed $ Free $ liftA2 (liftM2 mappend) f (pure $ return b)
Freed (Free f) `mappend` Freed (Free g) = Freed $ Free $ liftA2 (liftM2 mappend) f g
newtype FocusingFree f m k s a = FocusingFree { unfocusingFree :: k (Freed f m s) a }
instance Functor (k (Freed f m s)) => Functor (FocusingFree f m k s) where
fmap f (FocusingFree as) = FocusingFree (fmap f as)
instance Apply (k (Freed f m s)) => Apply (FocusingFree f m k s) where
FocusingFree kf <.> FocusingFree ka = FocusingFree (kf <.> ka)
instance Applicative (k (Freed f m s)) => Applicative (FocusingFree f m k s) where
pure = FocusingFree . pure
FocusingFree kf <*> FocusingFree ka = FocusingFree (kf <*> ka)
newtype Effect m r a = Effect { getEffect :: m r }
instance Functor (Effect m r) where
fmap _ (Effect m) = Effect m
instance Contravariant (Effect m r) where
contramap _ (Effect m) = Effect m
instance (Monad m, Semigroup r) => Semigroup (Effect m r a) where
Effect ma <> Effect mb = Effect (liftM2 (<>) ma mb)
instance (Monad m, Monoid r) => Monoid (Effect m r a) where
mempty = Effect (return mempty)
Effect ma `mappend` Effect mb = Effect (liftM2 mappend ma mb)
instance (Apply m, Semigroup r) => Apply (Effect m r) where
Effect ma <.> Effect mb = Effect (liftF2 (<>) ma mb)
instance (Monad m, Monoid r) => Applicative (Effect m r) where
pure _ = Effect (return mempty)
Effect ma <*> Effect mb = Effect (liftM2 mappend ma mb)
newtype EffectRWS w st m s a = EffectRWS { getEffectRWS :: st -> m (s,st,w) }
instance Functor (EffectRWS w st m s) where
fmap _ (EffectRWS m) = EffectRWS m
instance (Semigroup s, Semigroup w, Bind m) => Apply (EffectRWS w st m s) where
EffectRWS m <.> EffectRWS n = EffectRWS $ \st -> m st >>- \ (s,t,w) -> fmap (\(s',u,w') -> (s <> s', u, w <> w')) (n t)
instance (Monoid s, Monoid w, Monad m) => Applicative (EffectRWS w st m s) where
pure _ = EffectRWS $ \st -> return (mempty, st, mempty)
EffectRWS m <*> EffectRWS n = EffectRWS $ \st -> m st >>= \ (s,t,w) -> n t >>= \ (s',u,w') -> return (mappend s s', u, mappend w w')
instance Contravariant (EffectRWS w st m s) where
contramap _ (EffectRWS m) = EffectRWS m