{-# LANGUAGE CPP #-} {-# LANGUAGE Rank2Types #-} #ifdef TRUSTWORTHY {-# LANGUAGE Trustworthy #-} #endif ------------------------------------------------------------------------------- -- | -- Module : Control.Lens.Prism -- Copyright : (C) 2012-13 Edward Kmett -- License : BSD-style (see the file LICENSE) -- Maintainer : Edward Kmett -- Stability : provisional -- Portability : non-portable -- ------------------------------------------------------------------------------- module Control.Lens.Prism ( -- * Prisms Prism, Prism' , APrism, APrism' -- * Constructing Prisms , prism , prism' -- * Consuming Prisms , clonePrism , outside , aside , without , isn't -- * Common Prisms , _Left , _Right , _Just , _Nothing , _Void , only -- * Prismatic profunctors , Choice(..) ) where import Control.Applicative import Control.Lens.Combinators import Control.Lens.Internal.Prism import Control.Lens.Internal.Setter import Control.Lens.Type import Control.Monad import Data.Bifunctor import Data.Profunctor import Data.Void #ifndef SAFE import Unsafe.Coerce #endif {-# ANN module "HLint: ignore Use camelCase" #-} -- $setup -- >>> :set -XNoOverloadedStrings -- >>> import Control.Lens -- >>> import Numeric.Natural -- >>> import Debug.SimpleReflect.Expr -- >>> import Debug.SimpleReflect.Vars as Vars hiding (f,g) -- >>> let isLeft (Left _) = True; isLeft _ = False -- >>> let isRight (Right _) = True; isRight _ = False -- >>> let f :: Expr -> Expr; f = Debug.SimpleReflect.Vars.f -- >>> let g :: Expr -> Expr; g = Debug.SimpleReflect.Vars.g ------------------------------------------------------------------------------ -- Prism Internals ------------------------------------------------------------------------------ -- | If you see this in a signature for a function, the function is expecting a 'Prism'. type APrism s t a b = Market a b a (Mutator b) -> Market a b s (Mutator t) -- | @ -- type APrism' = 'Simple' 'APrism' -- @ type APrism' s a = APrism s s a a -- | Convert 'APrism' to the pair of functions that characterize it. runPrism :: APrism s t a b -> Market a b s t #ifdef SAFE runPrism k = case k (Market Mutator Right) of Market bt seta -> Market (runMutator #. bt) (either (Left . runMutator) Right . seta) #else runPrism k = unsafeCoerce (k (Market Mutator Right)) #endif {-# INLINE runPrism #-} -- | Clone a 'Prism' so that you can reuse the same monomorphically typed 'Prism' for different purposes. -- -- See 'Control.Lens.Lens.cloneLens' and 'Control.Lens.Traversal.cloneTraversal' for examples of why you might want to do this. clonePrism :: APrism s t a b -> Prism s t a b clonePrism k = case runPrism k of Market bt seta -> prism bt seta {-# INLINE clonePrism #-} ------------------------------------------------------------------------------ -- Prism Combinators ------------------------------------------------------------------------------ -- | Build a 'Control.Lens.Prism.Prism'. -- -- @'Either' t a@ is used instead of @'Maybe' a@ to permit the types of @s@ and @t@ to differ. -- prism :: (b -> t) -> (s -> Either t a) -> Prism s t a b prism bt seta = dimap seta (either pure (fmap bt)) . right' {-# INLINE prism #-} -- | This is usually used to build a 'Prism'', when you have to use an operation like -- 'Data.Typeable.cast' which already returns a 'Maybe'. prism' :: (b -> s) -> (s -> Maybe a) -> Prism s s a b prism' bs sma = prism bs (\s -> maybe (Left s) Right (sma s)) {-# INLINE prism' #-} -- | Use a 'Prism' as a kind of first-class pattern. -- -- @'outside' :: 'Prism' s t a b -> 'Lens' (t -> r) (s -> r) (b -> r) (a -> r)@ outside :: APrism s t a b -> Lens (t -> r) (s -> r) (b -> r) (a -> r) outside k = case runPrism k of Market bt seta -> \f tr -> f (tr.bt) <&> \ar -> either tr ar . seta {-# INLINE outside #-} -- | Use a 'Prism' to work over part of a structure. aside :: APrism s t a b -> Prism (e, s) (e, t) (e, a) (e, b) aside k = case runPrism k of Market bt seta -> prism (fmap bt) $ \(e,s) -> case seta s of Left t -> Left (e,t) Right a -> Right (e,a) {-# INLINE aside #-} -- | Given a pair of prisms, project sums. -- -- Viewing a 'Prism' as a co-'Lens', this combinator can be seen to be dual to 'Control.Lens.Lens.alongside'. without :: APrism s t a b -> APrism u v c d -> Prism (Either s u) (Either t v) (Either a c) (Either b d) without k = case runPrism k of Market bt seta -> \ k' -> case runPrism k' of Market dv uevc -> prism (bimap bt dv) $ \su -> case su of Left s -> bimap Left Left (seta s) Right u -> bimap Right Right (uevc u) {-# INLINE without #-} -- | Check to see if this 'Prism' doesn't match. -- -- >>> isn't _Left (Right 12) -- True -- -- >>> isn't _Left (Left 12) -- False isn't :: APrism s t a b -> s -> Bool isn't k s = case runPrism k of Market _ seta -> case seta s of Left _ -> True Right _ -> False {-# INLINE isn't #-} ------------------------------------------------------------------------------ -- Common Prisms ------------------------------------------------------------------------------ -- | This 'Prism' provides a 'Traversal' for tweaking the 'Left' half of an 'Either': -- -- >>> over _Left (+1) (Left 2) -- Left 3 -- -- >>> over _Left (+1) (Right 2) -- Right 2 -- -- >>> Right 42 ^._Left :: String -- "" -- -- >>> Left "hello" ^._Left -- "hello" -- -- It also can be turned around to obtain the embedding into the 'Left' half of an 'Either': -- -- >>> _Left # 5 -- Left 5 -- -- >>> 5^.re _Left -- Left 5 _Left :: Prism (Either a c) (Either b c) a b _Left = prism Left $ either Right (Left . Right) {-# INLINE _Left #-} -- | This 'Prism' provides a 'Traversal' for tweaking the 'Right' half of an 'Either': -- -- >>> over _Right (+1) (Left 2) -- Left 2 -- -- >>> over _Right (+1) (Right 2) -- Right 3 -- -- >>> Right "hello" ^._Right -- "hello" -- -- >>> Left "hello" ^._Right :: [Double] -- [] -- -- It also can be turned around to obtain the embedding into the 'Right' half of an 'Either': -- -- >>> _Right # 5 -- Right 5 -- -- >>> 5^.re _Right -- Right 5 _Right :: Prism (Either c a) (Either c b) a b _Right = prism Right $ either (Left . Left) Right {-# INLINE _Right #-} -- | This 'Prism' provides a 'Traversal' for tweaking the target of the value of 'Just' in a 'Maybe'. -- -- >>> over _Just (+1) (Just 2) -- Just 3 -- -- Unlike 'Data.Traversable.traverse' this is a 'Prism', and so you can use it to inject as well: -- -- >>> _Just # 5 -- Just 5 -- -- >>> 5^.re _Just -- Just 5 -- -- Interestingly, -- -- @ -- m '^?' '_Just' ≡ m -- @ -- -- >>> Just x ^? _Just -- Just x -- -- >>> Nothing ^? _Just -- Nothing _Just :: Prism (Maybe a) (Maybe b) a b _Just = prism Just $ maybe (Left Nothing) Right {-# INLINE _Just #-} -- | This 'Prism' provides the 'Traversal' of a 'Nothing' in a 'Maybe'. -- -- >>> Nothing ^? _Nothing -- Just () -- -- >>> Just () ^? _Nothing -- Nothing -- -- But you can turn it around and use it to construct 'Nothing' as well: -- -- >>> _Nothing # () -- Nothing _Nothing :: Prism' (Maybe a) () _Nothing = prism' (const Nothing) $ maybe (Just ()) (const Nothing) {-# INLINE _Nothing #-} -- | 'Void' is a logically uninhabited data type. -- -- This is a 'Prism' that will always fail to match. _Void :: Prism s s a Void _Void = prism absurd Left {-# INLINE _Void #-} -- | This 'Prism' compares for exact equality with a given value. -- -- >>> only 4 # () -- 4 -- -- >>> 5 ^? only 4 -- Nothing only :: Eq a => a -> Prism' a () only a = prism' (\() -> a) $ guard . (a ==) {-# INLINE only #-}