X-Git-Url: http://git.megacz.com/?a=blobdiff_plain;f=Control%2FApplicative.hs;h=c38e5809d9c75b7e71b64ac96dd169e3657bbca6;hb=41e8fba828acbae1751628af50849f5352b27873;hp=2149b7a796d9590261c3443925cedb0b12577f6d;hpb=bc428b7366dab68da9eb40815e05aead9713770d;p=ghc-base.git diff --git a/Control/Applicative.hs b/Control/Applicative.hs index 2149b7a..c38e580 100644 --- a/Control/Applicative.hs +++ b/Control/Applicative.hs @@ -1,10 +1,12 @@ +{-# LANGUAGE CPP #-} + ----------------------------------------------------------------------------- -- | -- Module : Control.Applicative -- Copyright : Conor McBride and Ross Paterson 2005 -- License : BSD-style (see the LICENSE file in the distribution) -- --- Maintainer : ross@soi.city.ac.uk +-- Maintainer : libraries@haskell.org -- Stability : experimental -- Portability : portable -- @@ -23,24 +25,36 @@ -- 'Data.Traversable.Traversable' class. module Control.Applicative ( - -- * Applicative functors - Applicative(..), - -- * Instances - WrappedMonad(..), Const(..), ZipList(..), - -- * Utility functions - (<$>), (<$), (*>), (<*), (<**>), - liftA, liftA2, liftA3 - ) where - -#ifdef __HADDOCK__ -import Prelude -#endif + -- * Applicative functors + Applicative(..), + -- * Alternatives + Alternative(..), + -- * Instances + Const(..), WrappedMonad(..), WrappedArrow(..), ZipList(..), + -- * Utility functions + (<$>), (<$), (<**>), + liftA, liftA2, liftA3, + optional, + ) where + +import Prelude hiding (id,(.)) -import Control.Monad (liftM, ap) +import Control.Category +import Control.Arrow (Arrow(arr, (&&&)), ArrowZero(zeroArrow), ArrowPlus((<+>))) +import Control.Monad (liftM, ap, MonadPlus(..)) import Control.Monad.Instances () +#ifndef __NHC__ +import Control.Monad.ST (ST) +import qualified Control.Monad.ST.Lazy as Lazy (ST) +#endif +import Data.Functor ((<$>), (<$)) import Data.Monoid (Monoid(..)) -infixl 4 <$>, <$ +#ifdef __GLASGOW_HASKELL__ +import GHC.Conc (STM, retry, orElse) +#endif + +infixl 3 <|> infixl 4 <*>, <*, *>, <**> -- | A functor with application. @@ -48,73 +62,169 @@ infixl 4 <*>, <*, *>, <**> -- Instances should satisfy the following laws: -- -- [/identity/] --- @'pure' 'id' '<*>' v = v@ +-- @'pure' 'id' '<*>' v = v@ -- -- [/composition/] --- @'pure' (.) '<*>' u '<*>' v '<*>' w = u '<*>' (v '<*>' w)@ +-- @'pure' (.) '<*>' u '<*>' v '<*>' w = u '<*>' (v '<*>' w)@ -- -- [/homomorphism/] --- @'pure' f '<*>' 'pure' x = 'pure' (f x)@ +-- @'pure' f '<*>' 'pure' x = 'pure' (f x)@ -- -- [/interchange/] --- @u '<*>' 'pure' y = 'pure' ('$' y) '<*>' u@ +-- @u '<*>' 'pure' y = 'pure' ('$' y) '<*>' u@ +-- +-- [/ignore left value/] +-- @u '*>' v = 'pure' ('const' 'id') '<*>' u '<*>' v@ +-- +-- [/ignore right value/] +-- @u '<*' v = 'pure' 'const' '<*>' u '<*>' v@ -- -- The 'Functor' instance should satisfy -- -- @ --- 'fmap' f x = 'pure' f '<*>' x +-- 'fmap' f x = 'pure' f '<*>' x -- @ -- -- If @f@ is also a 'Monad', define @'pure' = 'return'@ and @('<*>') = 'ap'@. +-- +-- Minimal complete definition: 'pure' and '<*>'. class Functor f => Applicative f where - -- | Lift a value. - pure :: a -> f a + -- | Lift a value. + pure :: a -> f a + + -- | Sequential application. + (<*>) :: f (a -> b) -> f a -> f b - -- | Sequential application. - (<*>) :: f (a -> b) -> f a -> f b + -- | Sequence actions, discarding the value of the first argument. + (*>) :: f a -> f b -> f b + (*>) = liftA2 (const id) + + -- | Sequence actions, discarding the value of the second argument. + (<*) :: f a -> f b -> f a + (<*) = liftA2 const + +-- | A monoid on applicative functors. +-- +-- Minimal complete definition: 'empty' and '<|>'. +-- +-- 'some' and 'many' should be the least solutions of the equations: +-- +-- * @some v = (:) '<$>' v '<*>' many v@ +-- +-- * @many v = some v '<|>' 'pure' []@ +class Applicative f => Alternative f where + -- | The identity of '<|>' + empty :: f a + -- | An associative binary operation + (<|>) :: f a -> f a -> f a + + -- | One or more. + some :: f a -> f [a] + some v = some_v + where + many_v = some_v <|> pure [] + some_v = (:) <$> v <*> many_v + + -- | Zero or more. + many :: f a -> f [a] + many v = many_v + where + many_v = some_v <|> pure [] + some_v = (:) <$> v <*> many_v -- instances for Prelude types instance Applicative Maybe where - pure = return - (<*>) = ap + pure = return + (<*>) = ap + +instance Alternative Maybe where + empty = Nothing + Nothing <|> p = p + Just x <|> _ = Just x instance Applicative [] where - pure = return - (<*>) = ap + pure = return + (<*>) = ap + +instance Alternative [] where + empty = [] + (<|>) = (++) instance Applicative IO where - pure = return - (<*>) = ap + pure = return + (<*>) = ap + +#ifndef __NHC__ +instance Applicative (ST s) where + pure = return + (<*>) = ap + +instance Applicative (Lazy.ST s) where + pure = return + (<*>) = ap +#endif + +#ifdef __GLASGOW_HASKELL__ +instance Applicative STM where + pure = return + (<*>) = ap + +instance Alternative STM where + empty = retry + (<|>) = orElse +#endif instance Applicative ((->) a) where - pure = const - (<*>) f g x = f x (g x) + pure = const + (<*>) f g x = f x (g x) instance Monoid a => Applicative ((,) a) where - pure x = (mempty, x) - (u, f) <*> (v, x) = (u `mappend` v, f x) + pure x = (mempty, x) + (u, f) <*> (v, x) = (u `mappend` v, f x) + +instance Applicative (Either e) where + pure = Right + Left e <*> _ = Left e + Right f <*> r = fmap f r -- new instances +newtype Const a b = Const { getConst :: a } + +instance Functor (Const m) where + fmap _ (Const v) = Const v + +instance Monoid m => Applicative (Const m) where + pure _ = Const mempty + Const f <*> Const v = Const (f `mappend` v) + newtype WrappedMonad m a = WrapMonad { unwrapMonad :: m a } instance Monad m => Functor (WrappedMonad m) where - fmap f (WrapMonad v) = WrapMonad (liftM f v) + fmap f (WrapMonad v) = WrapMonad (liftM f v) instance Monad m => Applicative (WrappedMonad m) where - pure = WrapMonad . return - WrapMonad f <*> WrapMonad v = WrapMonad (f `ap` v) + pure = WrapMonad . return + WrapMonad f <*> WrapMonad v = WrapMonad (f `ap` v) -newtype Const a b = Const { getConst :: a } +instance MonadPlus m => Alternative (WrappedMonad m) where + empty = WrapMonad mzero + WrapMonad u <|> WrapMonad v = WrapMonad (u `mplus` v) -instance Functor (Const m) where - fmap _ (Const v) = Const v +newtype WrappedArrow a b c = WrapArrow { unwrapArrow :: a b c } -instance Monoid m => Applicative (Const m) where - pure _ = Const mempty - Const f <*> Const v = Const (f `mappend` v) +instance Arrow a => Functor (WrappedArrow a b) where + fmap f (WrapArrow a) = WrapArrow (a >>> arr f) + +instance Arrow a => Applicative (WrappedArrow a b) where + pure x = WrapArrow (arr (const x)) + WrapArrow f <*> WrapArrow v = WrapArrow (f &&& v >>> arr (uncurry id)) + +instance (ArrowZero a, ArrowPlus a) => Alternative (WrappedArrow a b) where + empty = WrapArrow zeroArrow + WrapArrow u <|> WrapArrow v = WrapArrow (u <+> v) -- | Lists, but with an 'Applicative' functor based on zipping, so that -- @@ -123,30 +233,14 @@ instance Monoid m => Applicative (Const m) where newtype ZipList a = ZipList { getZipList :: [a] } instance Functor ZipList where - fmap f (ZipList xs) = ZipList (map f xs) + fmap f (ZipList xs) = ZipList (map f xs) instance Applicative ZipList where - pure x = ZipList (repeat x) - ZipList fs <*> ZipList xs = ZipList (zipWith id fs xs) + pure x = ZipList (repeat x) + ZipList fs <*> ZipList xs = ZipList (zipWith id fs xs) -- extra functions --- | A synonym for 'fmap'. -(<$>) :: Functor f => (a -> b) -> f a -> f b -f <$> a = fmap f a - --- | Replace the value. -(<$) :: Functor f => a -> f b -> f a -(<$) = (<$>) . const - --- | Sequence actions, discarding the value of the first argument. -(*>) :: Applicative f => f a -> f b -> f b -(*>) = liftA2 (const id) - --- | Sequence actions, discarding the value of the second argument. -(<*) :: Applicative f => f a -> f b -> f a -(<*) = liftA2 const - -- | A variant of '<*>' with the arguments reversed. (<**>) :: Applicative f => f a -> f (a -> b) -> f b (<**>) = liftA2 (flip ($)) @@ -163,3 +257,7 @@ liftA2 f a b = f <$> a <*> b -- | Lift a ternary function to actions. liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d liftA3 f a b c = f <$> a <*> b <*> c + +-- | One or none. +optional :: Alternative f => f a -> f (Maybe a) +optional v = Just <$> v <|> pure Nothing