{-# LANGUAGE CPP #-} module Agda.Utils.Monad ( module Agda.Utils.Monad , when, unless, MonadPlus(..) , (<$>), (<*>) , (<$) ) where import Prelude hiding (concat) import Control.Monad hiding (mapM, forM) import Control.Monad.State import Control.Monad.Writer import Data.Traversable as Trav hiding (for, sequence) import Data.Foldable as Fold import Data.Maybe import Agda.Utils.Either import Agda.Utils.Except ( Error(strMsg) , MonadError(catchError, throwError) ) import Agda.Utils.List #include "undefined.h" import Agda.Utils.Impossible -- | Binary bind. (==<<) :: Monad m => (a -> b -> m c) -> (m a, m b) -> m c k ==<< (ma, mb) = ma >>= \ a -> k a =<< mb -- Conditionals and monads ------------------------------------------------ whenM :: Monad m => m Bool -> m () -> m () whenM c m = c >>= (`when` m) unlessM :: Monad m => m Bool -> m () -> m () unlessM c m = c >>= (`unless` m) -- | Monadic guard. guardM :: (Monad m, MonadPlus m) => m Bool -> m () guardM c = guard =<< c -- | Monadic if-then-else. ifM :: Monad m => m Bool -> m a -> m a -> m a ifM c m m' = do b <- c if b then m else m' -- | @ifNotM mc = ifM (not <$> mc)@ ifNotM :: Monad m => m Bool -> m a -> m a -> m a ifNotM c = flip $ ifM c -- | Lazy monadic conjunction. and2M :: Monad m => m Bool -> m Bool -> m Bool and2M ma mb = ifM ma mb (return False) andM :: (Foldable f, Monad m) => f (m Bool) -> m Bool andM = Fold.foldl and2M (return True) allM :: (Functor f, Foldable f, Monad m) => f a -> (a -> m Bool) -> m Bool allM xs f = andM $ fmap f xs -- | Lazy monadic disjunction. or2M :: Monad m => m Bool -> m Bool -> m Bool or2M ma mb = ifM ma (return True) mb orM :: (Foldable f, Monad m) => f (m Bool) -> m Bool orM = Fold.foldl or2M (return False) anyM :: (Functor f, Foldable f, Monad m) => f a -> (a -> m Bool) -> m Bool anyM xs f = orM $ fmap f xs -- | Lazy monadic disjunction with @Either@ truth values. -- Returns the last error message if all fail. altM1 :: Monad m => (a -> m (Either err b)) -> [a] -> m (Either err b) altM1 f [] = __IMPOSSIBLE__ altM1 f [a] = f a altM1 f (a : as) = either (const $ altM1 f as) (return . Right) =<< f a -- | Lazy monadic disjunction with accumulation of errors in a monoid. -- Errors are discarded if we succeed. orEitherM :: (Monoid e, Monad m, Functor m) => [m (Either e b)] -> m (Either e b) orEitherM [] = return $ Left mempty orEitherM (m : ms) = caseEitherM m (\e -> mapLeft (e `mappend`) <$> orEitherM ms) (return . Right) -- Loops gathering results in a Monoid ------------------------------------ -- | Generalized version of @mapM_ :: Monad m => (a -> m ()) -> [a] -> m ()@ -- Executes effects and collects results in left-to-right order. -- Works best with left-associative monoids. -- -- Note that there is an alternative -- -- @mapM' f t = foldr mappend mempty <$> mapM f t@ -- -- that collects results in right-to-left order -- (effects still left-to-right). -- It might be preferable for right associative monoids. mapM' :: (Foldable t, Monad m, Monoid b) => (a -> m b) -> t a -> m b mapM' f = Fold.foldl (\ mb a -> liftM2 mappend mb (f a)) (return mempty) -- | Generalized version of @forM_ :: Monad m => [a] -> (a -> m ()) -> m ()@ forM' :: (Foldable t, Monad m, Monoid b) => t a -> (a -> m b) -> m b forM' = flip mapM' -- Continuation monad ----------------------------------------------------- -- Andreas, 2017-04-11, issue #2543 -- The terribly useful thread function is now UNUSED. [Sadistic laughter :)] -- -- type Cont r a = (a -> r) -> r -- -- -- | 'Control.Monad.mapM' for the continuation monad. Terribly useful. -- thread :: (a -> Cont r b) -> [a] -> Cont r [b] -- thread f [] ret = ret [] -- thread f (x:xs) ret = -- f x $ \y -> thread f xs $ \ys -> ret (y:ys) -- Lists and monads ------------------------------------------------------- -- | A monadic version of @'mapMaybe' :: (a -> Maybe b) -> [a] -> [b]@. mapMaybeM :: Monad m => (a -> m (Maybe b)) -> [a] -> m [b] mapMaybeM f xs = catMaybes <$> Trav.mapM f xs -- | The @for@ version of 'mapMaybeM'. forMaybeM :: Monad m => [a] -> (a -> m (Maybe b)) -> m [b] forMaybeM = flip mapMaybeM -- | A monadic version of @'dropWhile' :: (a -> Bool) -> [a] -> [a]@. dropWhileM :: Monad m => (a -> m Bool) -> [a] -> m [a] dropWhileM p [] = return [] dropWhileM p (x : xs) = ifM (p x) (dropWhileM p xs) (return (x : xs)) -- | A ``monadic'' version of @'partition' :: (a -> Bool) -> [a] -> ([a],[a]) partitionM :: (Functor m, Applicative m) => (a -> m Bool) -> [a] -> m ([a],[a]) partitionM f [] = pure ([], []) partitionM f (x:xs) = (\ b (l, r) -> if b then (x:l, r) else (l, x:r)) <$> f x <*> partitionM f xs -- MonadPlus ----------------------------------------------------------------- -- | Translates 'Maybe' to 'MonadPlus'. fromMaybeMP :: MonadPlus m => Maybe a -> m a fromMaybeMP = maybe mzero return -- | Generalises the 'catMaybes' function from lists to an arbitrary -- 'MonadPlus'. catMaybesMP :: MonadPlus m => m (Maybe a) -> m a catMaybesMP = (>>= fromMaybeMP) -- Error monad ------------------------------------------------------------ -- | Finally for the 'Error' class. Errors in the finally part take -- precedence over prior errors. finally :: MonadError e m => m a -> m () -> m a first `finally` after = do r <- catchError (liftM Right first) (return . Left) after case r of Left e -> throwError e Right r -> return r -- | Try a computation, return 'Nothing' if an 'Error' occurs. tryMaybe :: (MonadError e m, Functor m) => m a -> m (Maybe a) tryMaybe m = (Just <$> m) `catchError` \ _ -> return Nothing -- State monad ------------------------------------------------------------ -- | Bracket without failure. Typically used to preserve state. bracket_ :: Monad m => m a -- ^ Acquires resource. Run first. -> (a -> m ()) -- ^ Releases resource. Run last. -> m b -- ^ Computes result. Run in-between. -> m b bracket_ acquire release compute = do resource <- acquire result <- compute release resource return result -- | Restore state after computation. localState :: MonadState s m => m a -> m a localState = bracket_ get put -- Read ------------------------------------------------------------------- readM :: (Error e, MonadError e m, Read a) => String -> m a readM s = case reads s of [(x,"")] -> return x _ -> throwError $ strMsg $ "readM: parse error string " ++ s -- RETIRED STUFF ---------------------------------------------------------- {- RETIRED, ASR, 09 September 2014. Not used. -- | Bracket for the 'Error' class. -- bracket :: (Error e, MonadError e m) -- => m a -- ^ Acquires resource. Run first. -- -> (a -> m c) -- ^ Releases resource. Run last. -- -> (a -> m b) -- ^ Computes result. Run in-between. -- -> m b -- bracket acquire release compute = do -- resource <- acquire -- compute resource `finally` release resource -} {- RETIRED, Andreas, 2012-04-30. Not used. concatMapM :: Applicative m => (a -> m [b]) -> [a] -> m [b] concatMapM f xs = concat <$> traverse f xs -- | Depending on the monad you have to look at the result for -- the force to be effective. For the 'IO' monad you do. forceM :: Monad m => [a] -> m () forceM xs = do () <- length xs `seq` return () return () commuteM :: (Traversable f, Applicative m) => f (m a) -> m (f a) commuteM = traverse id -}