{-# LANGUAGE ConstraintKinds #-} -- | Extra functions for "Control.Monad". -- These functions provide looping, list operations and booleans. -- If you need a wider selection of monad loops and list generalisations, -- see . module Control.Monad.Extra( module Control.Monad, whenJust, whenJustM, whenMaybe, whenMaybeM, unit, maybeM, fromMaybeM, eitherM, -- * Loops loop, loopM, whileM, whileJustM, untilJustM, -- * Lists partitionM, concatMapM, concatForM, mconcatMapM, mapMaybeM, findM, firstJustM, fold1M, fold1M_, -- * Booleans whenM, unlessM, ifM, notM, (||^), (&&^), orM, andM, anyM, allM ) where import Control.Monad import Control.Exception.Extra import Data.Maybe import Control.Applicative import Data.Monoid import Prelude -- General utilities -- | Perform some operation on 'Just', given the field inside the 'Just'. -- -- > whenJust Nothing print == pure () -- > whenJust (Just 1) print == print 1 whenJust :: Applicative m => Maybe a -> (a -> m ()) -> m () whenJust mg f = maybe (pure ()) f mg -- | Like 'whenJust', but where the test can be monadic. whenJustM :: Monad m => m (Maybe a) -> (a -> m ()) -> m () -- Can't reuse whenMaybe on GHC 7.8 or lower because Monad does not imply Applicative whenJustM mg f = maybeM (pure ()) f mg -- | Like 'when', but return either 'Nothing' if the predicate was 'False', -- of 'Just' with the result of the computation. -- -- > whenMaybe True (print 1) == fmap Just (print 1) -- > whenMaybe False (print 1) == pure Nothing whenMaybe :: Applicative m => Bool -> m a -> m (Maybe a) whenMaybe b x = if b then Just <$> x else pure Nothing -- | Like 'whenMaybe', but where the test can be monadic. whenMaybeM :: Monad m => m Bool -> m a -> m (Maybe a) -- Can't reuse whenMaybe on GHC 7.8 or lower because Monad does not imply Applicative whenMaybeM mb x = do b <- mb if b then liftM Just x else pure Nothing -- | The identity function which requires the inner argument to be @()@. Useful for functions -- with overloaded return types. -- -- > \(x :: Maybe ()) -> unit x == x unit :: m () -> m () unit = id -- | Monadic generalisation of 'maybe'. maybeM :: Monad m => m b -> (a -> m b) -> m (Maybe a) -> m b maybeM n j x = maybe n j =<< x -- | Monadic generalisation of 'fromMaybe'. fromMaybeM :: Monad m => m a -> m (Maybe a) -> m a fromMaybeM n x = maybeM n pure x -- | Monadic generalisation of 'either'. eitherM :: Monad m => (a -> m c) -> (b -> m c) -> m (Either a b) -> m c eitherM l r x = either l r =<< x -- | A variant of 'foldM' that has no base case, and thus may only be applied to non-empty lists. -- -- > fold1M (\x y -> Just x) [] == undefined -- > fold1M (\x y -> Just $ x + y) [1, 2, 3] == Just 6 fold1M :: (Partial, Monad m) => (a -> a -> m a) -> [a] -> m a fold1M f (x:xs) = foldM f x xs fold1M f xs = error "fold1M: empty list" -- | Like 'fold1M' but discards the result. fold1M_ :: (Partial, Monad m) => (a -> a -> m a) -> [a] -> m () fold1M_ f xs = fold1M f xs >> pure () -- Data.List for Monad -- | A version of 'partition' that works with a monadic predicate. -- -- > partitionM (Just . even) [1,2,3] == Just ([2], [1,3]) -- > partitionM (const Nothing) [1,2,3] == Nothing partitionM :: Monad m => (a -> m Bool) -> [a] -> m ([a], [a]) partitionM f [] = pure ([], []) partitionM f (x:xs) = do res <- f x (as,bs) <- partitionM f xs pure ([x | res]++as, [x | not res]++bs) -- | A version of 'concatMap' that works with a monadic predicate. concatMapM :: Monad m => (a -> m [b]) -> [a] -> m [b] {-# INLINE concatMapM #-} concatMapM op = foldr f (pure []) where f x xs = do x <- op x; if null x then xs else do xs <- xs; pure $ x++xs -- | Like 'concatMapM', but has its arguments flipped, so can be used -- instead of the common @fmap concat $ forM@ pattern. concatForM :: Monad m => [a] -> (a -> m [b]) -> m [b] concatForM = flip concatMapM -- | A version of 'mconcatMap' that works with a monadic predicate. mconcatMapM :: (Monad m, Monoid b) => (a -> m b) -> [a] -> m b mconcatMapM f = liftM mconcat . mapM f -- | A version of 'mapMaybe' that works with a monadic predicate. mapMaybeM :: Monad m => (a -> m (Maybe b)) -> [a] -> m [b] {-# INLINE mapMaybeM #-} mapMaybeM op = foldr f (pure []) where f x xs = do x <- op x; case x of Nothing -> xs; Just x -> do xs <- xs; pure $ x:xs -- Looping -- | A looping operation, where the predicate returns 'Left' as a seed for the next loop -- or 'Right' to abort the loop. -- -- > loop (\x -> if x < 10 then Left $ x * 2 else Right $ show x) 1 == "16" loop :: (a -> Either a b) -> a -> b loop act x = case act x of Left x -> loop act x Right v -> v -- | A monadic version of 'loop', where the predicate returns 'Left' as a seed for the next loop -- or 'Right' to abort the loop. loopM :: Monad m => (a -> m (Either a b)) -> a -> m b loopM act x = do res <- act x case res of Left x -> loopM act x Right v -> pure v -- | Keep running an operation until it becomes 'False'. As an example: -- -- @ -- whileM $ do sleep 0.1; notM $ doesFileExist "foo.txt" -- readFile "foo.txt" -- @ -- -- If you need some state persisted between each test, use 'loopM'. whileM :: Monad m => m Bool -> m () whileM act = do b <- act when b $ whileM act -- | Keep running an operation until it becomes a 'Nothing', accumulating the -- monoid results inside the 'Just's as the result of the overall loop. whileJustM :: (Monad m, Monoid a) => m (Maybe a) -> m a whileJustM act = go mempty where go accum = do res <- act case res of Nothing -> pure accum Just r -> go $! (accum <> r) -- strict apply, otherwise space leaks -- | Keep running an operation until it becomes a 'Just', then return the value -- inside the 'Just' as the result of the overall loop. untilJustM :: Monad m => m (Maybe a) -> m a untilJustM act = do res <- act case res of Just r -> pure r Nothing -> untilJustM act -- Booleans -- | Like 'when', but where the test can be monadic. whenM :: Monad m => m Bool -> m () -> m () whenM b t = ifM b t (pure ()) -- | Like 'unless', but where the test can be monadic. unlessM :: Monad m => m Bool -> m () -> m () unlessM b f = ifM b (pure ()) f -- | Like @if@, but where the test can be monadic. ifM :: Monad m => m Bool -> m a -> m a -> m a ifM b t f = do b <- b; if b then t else f -- | Like 'not', but where the test can be monadic. notM :: Functor m => m Bool -> m Bool notM = fmap not -- | The lazy '||' operator lifted to a monad. If the first -- argument evaluates to 'True' the second argument will not -- be evaluated. -- -- > Just True ||^ undefined == Just True -- > Just False ||^ Just True == Just True -- > Just False ||^ Just False == Just False (||^) :: Monad m => m Bool -> m Bool -> m Bool (||^) a b = ifM a (pure True) b -- | The lazy '&&' operator lifted to a monad. If the first -- argument evaluates to 'False' the second argument will not -- be evaluated. -- -- > Just False &&^ undefined == Just False -- > Just True &&^ Just True == Just True -- > Just True &&^ Just False == Just False (&&^) :: Monad m => m Bool -> m Bool -> m Bool (&&^) a b = ifM a b (pure False) -- | A version of 'any' lifted to a monad. Retains the short-circuiting behaviour. -- -- > anyM Just [False,True ,undefined] == Just True -- > anyM Just [False,False,undefined] == undefined -- > \(f :: Int -> Maybe Bool) xs -> anyM f xs == orM (map f xs) anyM :: Monad m => (a -> m Bool) -> [a] -> m Bool anyM p = foldr ((||^) . p) (pure False) -- | A version of 'all' lifted to a monad. Retains the short-circuiting behaviour. -- -- > allM Just [True,False,undefined] == Just False -- > allM Just [True,True ,undefined] == undefined -- > \(f :: Int -> Maybe Bool) xs -> anyM f xs == orM (map f xs) allM :: Monad m => (a -> m Bool) -> [a] -> m Bool allM p = foldr ((&&^) . p) (pure True) -- | A version of 'or' lifted to a monad. Retains the short-circuiting behaviour. -- -- > orM [Just False,Just True ,undefined] == Just True -- > orM [Just False,Just False,undefined] == undefined -- > \xs -> Just (or xs) == orM (map Just xs) orM :: Monad m => [m Bool] -> m Bool orM = anyM id -- | A version of 'and' lifted to a monad. Retains the short-circuiting behaviour. -- -- > andM [Just True,Just False,undefined] == Just False -- > andM [Just True,Just True ,undefined] == undefined -- > \xs -> Just (and xs) == andM (map Just xs) andM :: Monad m => [m Bool] -> m Bool andM = allM id -- Searching -- | Like 'find', but where the test can be monadic. -- -- > findM (Just . isUpper) "teST" == Just (Just 'S') -- > findM (Just . isUpper) "test" == Just Nothing -- > findM (Just . const True) ["x",undefined] == Just (Just "x") findM :: Monad m => (a -> m Bool) -> [a] -> m (Maybe a) findM p = foldr (\x -> ifM (p x) (pure $ Just x)) (pure Nothing) -- | Like 'findM', but also allows you to compute some additional information in the predicate. firstJustM :: Monad m => (a -> m (Maybe b)) -> [a] -> m (Maybe b) firstJustM p [] = pure Nothing firstJustM p (x:xs) = maybeM (firstJustM p xs) (pure . Just) (p x)