{-# LANGUAGE CPP #-} {-# LANGUAGE TypeFamilies #-} {-# LANGUAGE TypeOperators #-} {-# OPTIONS_GHC -fno-warn-deprecations #-} #ifndef MIN_VERSION_base #define MIN_VERSION_base(x,y,z) 0 #endif module Data.Pointed where import Control.Arrow import Control.Applicative import qualified Data.Monoid as Monoid import Data.Default.Class import GHC.Generics #ifdef MIN_VERSION_comonad import Control.Comonad #endif #ifdef MIN_VERSION_containers import Data.Map (Map) import qualified Data.Map as Map import Data.Set (Set) import qualified Data.Set as Set import Data.Sequence (Seq, ViewL(..), ViewR(..)) import qualified Data.Sequence as Seq import Data.Tree (Tree(..)) #endif #ifdef MIN_VERSION_kan_extensions import Data.Functor.Day.Curried #endif #if defined(MIN_VERSION_semigroups) || (MIN_VERSION_base(4,9,0)) import Data.Semigroup as Semigroup import Data.List.NonEmpty (NonEmpty(..)) #endif #ifdef MIN_VERSION_semigroupoids import Data.Functor.Bind import Data.Semigroupoid.Static #endif #ifdef MIN_VERSION_stm import Control.Concurrent.STM #endif #if defined(MIN_VERSION_transformers) || (MIN_VERSION_base(4,8,0)) import Data.Functor.Identity #endif #if defined(MIN_VERSION_transformers) || (MIN_VERSION_base(4,9,0)) import Data.Functor.Compose import qualified Data.Functor.Product as Functor #endif #ifdef MIN_VERSION_transformers import Data.Functor.Constant import Data.Functor.Reverse import qualified Control.Monad.Trans.RWS.Lazy as Lazy import qualified Control.Monad.Trans.RWS.Strict as Strict import qualified Control.Monad.Trans.Writer.Lazy as Lazy import qualified Control.Monad.Trans.Writer.Strict as Strict import qualified Control.Monad.Trans.State.Lazy as Lazy import qualified Control.Monad.Trans.State.Strict as Strict import Control.Applicative.Backwards import Control.Applicative.Lift import Control.Monad.Trans.Cont import Control.Monad.Trans.Except import Control.Monad.Trans.Maybe import Control.Monad.Trans.Identity import Control.Monad.Trans.Reader # if !(MIN_VERSION_transformers(0,6,0)) import Control.Monad.Trans.Error import Control.Monad.Trans.List # endif #endif #if defined(MIN_VERSION_tagged) || (MIN_VERSION_base(4,7,0)) import Data.Proxy #endif #ifdef MIN_VERSION_tagged import Data.Tagged #endif #if defined(MIN_VERSION_unordered_containers) import Data.Hashable import Data.HashMap.Lazy (HashMap) import qualified Data.HashMap.Lazy as HashMap #endif class Pointed p where point :: a -> p a instance Pointed [] where point :: forall a. a -> [a] point a a = [a a] instance Pointed Maybe where point :: forall a. a -> Maybe a point = a -> Maybe a forall a. a -> Maybe a Just instance Pointed (Either a) where point :: forall a. a -> Either a a point = a -> Either a a forall a a. a -> Either a a Right instance Pointed IO where point :: forall a. a -> IO a point = a -> IO a forall a. a -> IO a forall (m :: * -> *) a. Monad m => a -> m a return instance Pointed ZipList where point :: forall a. a -> ZipList a point = a -> ZipList a forall a. a -> ZipList a forall (f :: * -> *) a. Applicative f => a -> f a pure #if MIN_VERSION_base(4,8,0) || defined(MIN_VERSION_transformers) instance Pointed Identity where point :: forall a. a -> Identity a point = a -> Identity a forall a. a -> Identity a Identity #endif instance Pointed ((->)e) where point :: forall a. a -> e -> a point = a -> e -> a forall a b. a -> b -> a const instance Default e => Pointed ((,)e) where point :: forall a. a -> (e, a) point = (,) e forall a. Default a => a def instance Default m => Pointed (Const m) where point :: forall a. a -> Const m a point a _ = m -> Const m a forall {k} a (b :: k). a -> Const a b Const m forall a. Default a => a def instance Monad m => Pointed (WrappedMonad m) where point :: forall a. a -> WrappedMonad m a point = m a -> WrappedMonad m a forall (m :: * -> *) a. m a -> WrappedMonad m a WrapMonad (m a -> WrappedMonad m a) -> (a -> m a) -> a -> WrappedMonad m a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> m a forall a. a -> m a forall (m :: * -> *) a. Monad m => a -> m a return instance Arrow a => Pointed (WrappedArrow a b) where point :: forall a. a -> WrappedArrow a b a point = a -> WrappedArrow a b a forall a. a -> WrappedArrow a b a forall (f :: * -> *) a. Applicative f => a -> f a pure instance Pointed Monoid.Dual where point :: forall a. a -> Dual a point = a -> Dual a forall a. a -> Dual a Monoid.Dual instance Pointed Monoid.Endo where point :: forall a. a -> Endo a point = (a -> a) -> Endo a forall a. (a -> a) -> Endo a Monoid.Endo ((a -> a) -> Endo a) -> (a -> a -> a) -> a -> Endo a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> a -> a forall a b. a -> b -> a const instance Pointed Monoid.Sum where point :: forall a. a -> Sum a point = a -> Sum a forall a. a -> Sum a Monoid.Sum instance Pointed Monoid.Product where point :: forall a. a -> Product a point = a -> Product a forall a. a -> Product a Monoid.Product instance Pointed Monoid.First where point :: forall a. a -> First a point = Maybe a -> First a forall a. Maybe a -> First a Monoid.First (Maybe a -> First a) -> (a -> Maybe a) -> a -> First a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> Maybe a forall a. a -> Maybe a Just instance Pointed Monoid.Last where point :: forall a. a -> Last a point = Maybe a -> Last a forall a. Maybe a -> Last a Monoid.Last (Maybe a -> Last a) -> (a -> Maybe a) -> a -> Last a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> Maybe a forall a. a -> Maybe a Just #ifdef MIN_VERSION_comonad instance Pointed (Cokleisli w a) where point :: forall a. a -> Cokleisli w a a point = (w a -> a) -> Cokleisli w a a forall {k} (w :: k -> *) (a :: k) b. (w a -> b) -> Cokleisli w a b Cokleisli ((w a -> a) -> Cokleisli w a a) -> (a -> w a -> a) -> a -> Cokleisli w a a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> w a -> a forall a b. a -> b -> a const #endif #ifdef MIN_VERSION_containers instance Pointed Tree where point :: forall a. a -> Tree a point a a = a -> [Tree a] -> Tree a forall a. a -> [Tree a] -> Tree a Node a a [] instance Default k => Pointed (Map k) where point :: forall a. a -> Map k a point = k -> a -> Map k a forall k a. k -> a -> Map k a Map.singleton k forall a. Default a => a def instance Pointed Seq where point :: forall a. a -> Seq a point = a -> Seq a forall a. a -> Seq a Seq.singleton instance Pointed ViewL where point :: forall a. a -> ViewL a point a a = a a a -> Seq a -> ViewL a forall a. a -> Seq a -> ViewL a :< Seq a forall a. Seq a Seq.empty instance Pointed ViewR where point :: forall a. a -> ViewR a point a a = Seq a forall a. Seq a Seq.empty Seq a -> a -> ViewR a forall a. Seq a -> a -> ViewR a :> a a instance Pointed Set where point :: forall a. a -> Set a point = a -> Set a forall a. a -> Set a Set.singleton #endif #ifdef MIN_VERSION_kan_extensions instance (Functor g, g ~ h) => Pointed (Curried g h) where point :: forall a. a -> Curried g h a point a a = (forall r. g (a -> r) -> h r) -> Curried g h a forall (g :: * -> *) (h :: * -> *) a. (forall r. g (a -> r) -> h r) -> Curried g h a Curried (((a -> r) -> r) -> g (a -> r) -> g r forall a b. (a -> b) -> g a -> g b forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b fmap ((a -> r) -> a -> r forall a b. (a -> b) -> a -> b $ a a)) {-# INLINE point #-} #endif #ifdef MIN_VERSION_semigroupoids instance Pointed m => Pointed (Static m a) where point :: forall a. a -> Static m a a point = m (a -> a) -> Static m a a forall (f :: * -> *) a b. f (a -> b) -> Static f a b Static (m (a -> a) -> Static m a a) -> (a -> m (a -> a)) -> a -> Static m a a forall b c a. (b -> c) -> (a -> b) -> a -> c . (a -> a) -> m (a -> a) forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point ((a -> a) -> m (a -> a)) -> (a -> a -> a) -> a -> m (a -> a) forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> a -> a forall a b. a -> b -> a const instance Pointed f => Pointed (WrappedApplicative f) where point :: forall a. a -> WrappedApplicative f a point = f a -> WrappedApplicative f a forall (f :: * -> *) a. f a -> WrappedApplicative f a WrapApplicative (f a -> WrappedApplicative f a) -> (a -> f a) -> a -> WrappedApplicative f a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> f a forall a. a -> f a forall (p :: * -> *) a. Pointed p => a -> p a point instance Pointed (MaybeApply f) where point :: forall a. a -> MaybeApply f a point = Either (f a) a -> MaybeApply f a forall (f :: * -> *) a. Either (f a) a -> MaybeApply f a MaybeApply (Either (f a) a -> MaybeApply f a) -> (a -> Either (f a) a) -> a -> MaybeApply f a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> Either (f a) a forall a a. a -> Either a a Right #endif #if defined(MIN_VERSION_semigroups) || (MIN_VERSION_base(4,9,0)) instance Pointed NonEmpty where point :: forall a. a -> NonEmpty a point a a = a a a -> [a] -> NonEmpty a forall a. a -> [a] -> NonEmpty a :| [] instance Pointed Semigroup.First where point :: forall a. a -> First a point = a -> First a forall a. a -> First a Semigroup.First instance Pointed Semigroup.Last where point :: forall a. a -> Last a point = a -> Last a forall a. a -> Last a Semigroup.Last instance Pointed Semigroup.Max where point :: forall a. a -> Max a point = a -> Max a forall a. a -> Max a Semigroup.Max instance Pointed Semigroup.Min where point :: forall a. a -> Min a point = a -> Min a forall a. a -> Min a Semigroup.Min # if !(MIN_VERSION_base(4,16,0)) instance Pointed Option where point = Option . Just # endif instance Pointed WrappedMonoid where point :: forall a. a -> WrappedMonoid a point = a -> WrappedMonoid a forall a. a -> WrappedMonoid a WrapMonoid #endif #ifdef MIN_VERSION_semigroups #if MIN_VERSION_semigroups(0,16,2) #define HAVE_ARG 1 #endif #elif MIN_VERSION_base(4,9,0) #define HAVE_ARG 1 #endif #ifdef HAVE_ARG instance Default a => Pointed (Arg a) where point :: forall a. a -> Arg a a point = a -> a -> Arg a a forall a b. a -> b -> Arg a b Arg a forall a. Default a => a def #endif #ifdef MIN_VERSION_stm instance Pointed STM where point :: forall a. a -> STM a point = a -> STM a forall a. a -> STM a forall (m :: * -> *) a. Monad m => a -> m a return #endif #if defined(MIN_VERSION_tagged) || (MIN_VERSION_base(4,7,0)) instance Pointed Proxy where point :: forall a. a -> Proxy a point a _ = Proxy a forall {k} (t :: k). Proxy t Proxy #endif #ifdef MIN_VERSION_tagged instance Pointed (Tagged a) where point :: forall a. a -> Tagged a a point = a -> Tagged a a forall {k} (s :: k) b. b -> Tagged s b Tagged #endif #if defined(MIN_VERSION_transformers) || (MIN_VERSION_base(4,9,0)) instance (Pointed p, Pointed q) => Pointed (Compose p q) where point :: forall a. a -> Compose p q a point = p (q a) -> Compose p q a forall {k} {k1} (f :: k -> *) (g :: k1 -> k) (a :: k1). f (g a) -> Compose f g a Compose (p (q a) -> Compose p q a) -> (a -> p (q a)) -> a -> Compose p q a forall b c a. (b -> c) -> (a -> b) -> a -> c . q a -> p (q a) forall a. a -> p a forall (p :: * -> *) a. Pointed p => a -> p a point (q a -> p (q a)) -> (a -> q a) -> a -> p (q a) forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> q a forall a. a -> q a forall (p :: * -> *) a. Pointed p => a -> p a point #endif #if defined(MIN_VERSION_transformers) || (MIN_VERSION_base(4,9,0)) instance (Pointed p, Pointed q) => Pointed (Functor.Product p q) where point :: forall a. a -> Product p q a point a a = p a -> q a -> Product p q a forall {k} (f :: k -> *) (g :: k -> *) (a :: k). f a -> g a -> Product f g a Functor.Pair (a -> p a forall a. a -> p a forall (p :: * -> *) a. Pointed p => a -> p a point a a) (a -> q a forall a. a -> q a forall (p :: * -> *) a. Pointed p => a -> p a point a a) #endif #ifdef MIN_VERSION_transformers instance Pointed (ContT r m) where point :: forall a. a -> ContT r m a point a a = ((a -> m r) -> m r) -> ContT r m a forall {k} (r :: k) (m :: k -> *) a. ((a -> m r) -> m r) -> ContT r m a ContT ((a -> m r) -> a -> m r forall a b. (a -> b) -> a -> b $ a a) instance Pointed m => Pointed (ExceptT e m) where point :: forall a. a -> ExceptT e m a point = m (Either e a) -> ExceptT e m a forall e (m :: * -> *) a. m (Either e a) -> ExceptT e m a ExceptT (m (Either e a) -> ExceptT e m a) -> (a -> m (Either e a)) -> a -> ExceptT e m a forall b c a. (b -> c) -> (a -> b) -> a -> c . Either e a -> m (Either e a) forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point (Either e a -> m (Either e a)) -> (a -> Either e a) -> a -> m (Either e a) forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> Either e a forall a a. a -> Either a a Right instance Pointed m => Pointed (IdentityT m) where point :: forall a. a -> IdentityT m a point = m a -> IdentityT m a forall {k} (f :: k -> *) (a :: k). f a -> IdentityT f a IdentityT (m a -> IdentityT m a) -> (a -> m a) -> a -> IdentityT m a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> m a forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point instance Pointed m => Pointed (MaybeT m) where point :: forall a. a -> MaybeT m a point = m (Maybe a) -> MaybeT m a forall (m :: * -> *) a. m (Maybe a) -> MaybeT m a MaybeT (m (Maybe a) -> MaybeT m a) -> (a -> m (Maybe a)) -> a -> MaybeT m a forall b c a. (b -> c) -> (a -> b) -> a -> c . Maybe a -> m (Maybe a) forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point (Maybe a -> m (Maybe a)) -> (a -> Maybe a) -> a -> m (Maybe a) forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> Maybe a forall a. a -> Maybe a forall (p :: * -> *) a. Pointed p => a -> p a point instance Pointed m => Pointed (ReaderT r m) where point :: forall a. a -> ReaderT r m a point = (r -> m a) -> ReaderT r m a forall r (m :: * -> *) a. (r -> m a) -> ReaderT r m a ReaderT ((r -> m a) -> ReaderT r m a) -> (a -> r -> m a) -> a -> ReaderT r m a forall b c a. (b -> c) -> (a -> b) -> a -> c . m a -> r -> m a forall a b. a -> b -> a const (m a -> r -> m a) -> (a -> m a) -> a -> r -> m a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> m a forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point instance Default m => Pointed (Constant m) where point :: forall a. a -> Constant m a point a _ = m -> Constant m a forall {k} a (b :: k). a -> Constant a b Constant m forall a. Default a => a def instance Pointed m => Pointed (Lazy.StateT s m) where point :: forall a. a -> StateT s m a point a a = (s -> m (a, s)) -> StateT s m a forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a Lazy.StateT ((s -> m (a, s)) -> StateT s m a) -> (s -> m (a, s)) -> StateT s m a forall a b. (a -> b) -> a -> b $ \s s -> (a, s) -> m (a, s) forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point (a a, s s) instance Pointed m => Pointed (Strict.StateT s m) where point :: forall a. a -> StateT s m a point a a = (s -> m (a, s)) -> StateT s m a forall s (m :: * -> *) a. (s -> m (a, s)) -> StateT s m a Strict.StateT ((s -> m (a, s)) -> StateT s m a) -> (s -> m (a, s)) -> StateT s m a forall a b. (a -> b) -> a -> b $ \s s -> (a, s) -> m (a, s) forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point (a a, s s) instance (Default w, Pointed m) => Pointed (Lazy.RWST r w s m) where point :: forall a. a -> RWST r w s m a point a a = (r -> s -> m (a, s, w)) -> RWST r w s m a forall r w s (m :: * -> *) a. (r -> s -> m (a, s, w)) -> RWST r w s m a Lazy.RWST ((r -> s -> m (a, s, w)) -> RWST r w s m a) -> (r -> s -> m (a, s, w)) -> RWST r w s m a forall a b. (a -> b) -> a -> b $ \r _ s s -> (a, s, w) -> m (a, s, w) forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point (a a, s s, w forall a. Default a => a def) instance (Default w, Pointed m) => Pointed (Strict.RWST r w s m) where point :: forall a. a -> RWST r w s m a point a a = (r -> s -> m (a, s, w)) -> RWST r w s m a forall r w s (m :: * -> *) a. (r -> s -> m (a, s, w)) -> RWST r w s m a Strict.RWST ((r -> s -> m (a, s, w)) -> RWST r w s m a) -> (r -> s -> m (a, s, w)) -> RWST r w s m a forall a b. (a -> b) -> a -> b $ \r _ s s -> (a, s, w) -> m (a, s, w) forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point (a a, s s, w forall a. Default a => a def) instance (Default w, Pointed m) => Pointed (Lazy.WriterT w m) where point :: forall a. a -> WriterT w m a point a a = m (a, w) -> WriterT w m a forall w (m :: * -> *) a. m (a, w) -> WriterT w m a Lazy.WriterT (m (a, w) -> WriterT w m a) -> m (a, w) -> WriterT w m a forall a b. (a -> b) -> a -> b $ (a, w) -> m (a, w) forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point (a a, w forall a. Default a => a def) instance (Default w, Pointed m) => Pointed (Strict.WriterT w m) where point :: forall a. a -> WriterT w m a point a a = m (a, w) -> WriterT w m a forall w (m :: * -> *) a. m (a, w) -> WriterT w m a Strict.WriterT (m (a, w) -> WriterT w m a) -> m (a, w) -> WriterT w m a forall a b. (a -> b) -> a -> b $ (a, w) -> m (a, w) forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point (a a, w forall a. Default a => a def) instance Pointed f => Pointed (Reverse f) where point :: forall a. a -> Reverse f a point = f a -> Reverse f a forall {k} (f :: k -> *) (a :: k). f a -> Reverse f a Reverse (f a -> Reverse f a) -> (a -> f a) -> a -> Reverse f a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> f a forall a. a -> f a forall (p :: * -> *) a. Pointed p => a -> p a point instance Pointed f => Pointed (Backwards f) where point :: forall a. a -> Backwards f a point = f a -> Backwards f a forall {k} (f :: k -> *) (a :: k). f a -> Backwards f a Backwards (f a -> Backwards f a) -> (a -> f a) -> a -> Backwards f a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> f a forall a. a -> f a forall (p :: * -> *) a. Pointed p => a -> p a point instance Pointed (Lift f) where point :: forall a. a -> Lift f a point = a -> Lift f a forall (f :: * -> *) a. a -> Lift f a Pure # if !(MIN_VERSION_transformers(0,6,0)) instance Pointed m => Pointed (ErrorT e m) where point :: forall a. a -> ErrorT e m a point = m (Either e a) -> ErrorT e m a forall e (m :: * -> *) a. m (Either e a) -> ErrorT e m a ErrorT (m (Either e a) -> ErrorT e m a) -> (a -> m (Either e a)) -> a -> ErrorT e m a forall b c a. (b -> c) -> (a -> b) -> a -> c . Either e a -> m (Either e a) forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point (Either e a -> m (Either e a)) -> (a -> Either e a) -> a -> m (Either e a) forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> Either e a forall a a. a -> Either a a Right instance Pointed m => Pointed (ListT m) where point :: forall a. a -> ListT m a point = m [a] -> ListT m a forall (m :: * -> *) a. m [a] -> ListT m a ListT (m [a] -> ListT m a) -> (a -> m [a]) -> a -> ListT m a forall b c a. (b -> c) -> (a -> b) -> a -> c . [a] -> m [a] forall a. a -> m a forall (p :: * -> *) a. Pointed p => a -> p a point ([a] -> m [a]) -> (a -> [a]) -> a -> m [a] forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> [a] forall a. a -> [a] forall (p :: * -> *) a. Pointed p => a -> p a point # endif #endif #if defined(MIN_VERSION_unordered_containers) instance (Default k, Hashable k) => Pointed (HashMap k) where point :: forall a. a -> HashMap k a point = k -> a -> HashMap k a forall k v. Hashable k => k -> v -> HashMap k v HashMap.singleton k forall a. Default a => a def #endif instance Pointed U1 where point :: forall a. a -> U1 a point a _ = U1 a forall k (p :: k). U1 p U1 instance Pointed Par1 where point :: forall a. a -> Par1 a point = a -> Par1 a forall a. a -> Par1 a Par1 instance Pointed f => Pointed (Rec1 f) where point :: forall a. a -> Rec1 f a point = f a -> Rec1 f a forall k (f :: k -> *) (p :: k). f p -> Rec1 f p Rec1 (f a -> Rec1 f a) -> (a -> f a) -> a -> Rec1 f a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> f a forall a. a -> f a forall (p :: * -> *) a. Pointed p => a -> p a point instance Pointed f => Pointed (M1 i c f) where point :: forall a. a -> M1 i c f a point = f a -> M1 i c f a forall k i (c :: Meta) (f :: k -> *) (p :: k). f p -> M1 i c f p M1 (f a -> M1 i c f a) -> (a -> f a) -> a -> M1 i c f a forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> f a forall a. a -> f a forall (p :: * -> *) a. Pointed p => a -> p a point instance (Pointed f, Pointed g) => Pointed (f :*: g) where point :: forall a. a -> (:*:) f g a point a a = a -> f a forall a. a -> f a forall (p :: * -> *) a. Pointed p => a -> p a point a a f a -> g a -> (:*:) f g a forall k (f :: k -> *) (g :: k -> *) (p :: k). f p -> g p -> (:*:) f g p :*: a -> g a forall a. a -> g a forall (p :: * -> *) a. Pointed p => a -> p a point a a instance (Pointed f, Pointed g) => Pointed (f :.: g) where point :: forall a. a -> (:.:) f g a point = f (g a) -> (:.:) f g a forall k2 k1 (f :: k2 -> *) (g :: k1 -> k2) (p :: k1). f (g p) -> (:.:) f g p Comp1 (f (g a) -> (:.:) f g a) -> (a -> f (g a)) -> a -> (:.:) f g a forall b c a. (b -> c) -> (a -> b) -> a -> c . g a -> f (g a) forall a. a -> f a forall (p :: * -> *) a. Pointed p => a -> p a point (g a -> f (g a)) -> (a -> g a) -> a -> f (g a) forall b c a. (b -> c) -> (a -> b) -> a -> c . a -> g a forall a. a -> g a forall (p :: * -> *) a. Pointed p => a -> p a point