precursor-0.1.0.0: Prelude replacement

Safe HaskellNone
LanguageHaskell2010

Precursor.Control.Alternative

Contents

Synopsis

Alternative class

class Applicative f => Alternative f where #

A monoid on applicative functors.

If defined, some and many should be the least solutions of the equations:

  • some v = (:) <$> v <*> many v
  • many v = some v <|> pure []

Minimal complete definition

empty, (<|>)

Methods

empty :: f a #

The identity of <|>

(<|>) :: f a -> f a -> f a infixl 3 #

An associative binary operation

some :: f a -> f [a] #

One or more.

many :: f a -> f [a] #

Zero or more.

Instances

Alternative [] 

Methods

empty :: [a] #

(<|>) :: [a] -> [a] -> [a] #

some :: [a] -> [[a]] #

many :: [a] -> [[a]] #

Alternative Maybe 

Methods

empty :: Maybe a #

(<|>) :: Maybe a -> Maybe a -> Maybe a #

some :: Maybe a -> Maybe [a] #

many :: Maybe a -> Maybe [a] #

Alternative IO 

Methods

empty :: IO a #

(<|>) :: IO a -> IO a -> IO a #

some :: IO a -> IO [a] #

many :: IO a -> IO [a] #

Alternative U1 

Methods

empty :: U1 a #

(<|>) :: U1 a -> U1 a -> U1 a #

some :: U1 a -> U1 [a] #

many :: U1 a -> U1 [a] #

Alternative Option 

Methods

empty :: Option a #

(<|>) :: Option a -> Option a -> Option a #

some :: Option a -> Option [a] #

many :: Option a -> Option [a] #

Alternative Seq 

Methods

empty :: Seq a #

(<|>) :: Seq a -> Seq a -> Seq a #

some :: Seq a -> Seq [a] #

many :: Seq a -> Seq [a] #

Alternative f => Alternative (Rec1 f) 

Methods

empty :: Rec1 f a #

(<|>) :: Rec1 f a -> Rec1 f a -> Rec1 f a #

some :: Rec1 f a -> Rec1 f [a] #

many :: Rec1 f a -> Rec1 f [a] #

MonadPlus m => Alternative (WrappedMonad m) 

Methods

empty :: WrappedMonad m a #

(<|>) :: WrappedMonad m a -> WrappedMonad m a -> WrappedMonad m a #

some :: WrappedMonad m a -> WrappedMonad m [a] #

many :: WrappedMonad m a -> WrappedMonad m [a] #

ArrowPlus a => Alternative (ArrowMonad a) 

Methods

empty :: ArrowMonad a a #

(<|>) :: ArrowMonad a a -> ArrowMonad a a -> ArrowMonad a a #

some :: ArrowMonad a a -> ArrowMonad a [a] #

many :: ArrowMonad a a -> ArrowMonad a [a] #

Alternative (Proxy *) 

Methods

empty :: Proxy * a #

(<|>) :: Proxy * a -> Proxy * a -> Proxy * a #

some :: Proxy * a -> Proxy * [a] #

many :: Proxy * a -> Proxy * [a] #

(Alternative f, Alternative g) => Alternative ((:*:) f g) 

Methods

empty :: (f :*: g) a #

(<|>) :: (f :*: g) a -> (f :*: g) a -> (f :*: g) a #

some :: (f :*: g) a -> (f :*: g) [a] #

many :: (f :*: g) a -> (f :*: g) [a] #

(Alternative f, Applicative g) => Alternative ((:.:) f g) 

Methods

empty :: (f :.: g) a #

(<|>) :: (f :.: g) a -> (f :.: g) a -> (f :.: g) a #

some :: (f :.: g) a -> (f :.: g) [a] #

many :: (f :.: g) a -> (f :.: g) [a] #

(ArrowZero a, ArrowPlus a) => Alternative (WrappedArrow a b) 

Methods

empty :: WrappedArrow a b a #

(<|>) :: WrappedArrow a b a -> WrappedArrow a b a -> WrappedArrow a b a #

some :: WrappedArrow a b a -> WrappedArrow a b [a] #

many :: WrappedArrow a b a -> WrappedArrow a b [a] #

Alternative f => Alternative (Alt * f) 

Methods

empty :: Alt * f a #

(<|>) :: Alt * f a -> Alt * f a -> Alt * f a #

some :: Alt * f a -> Alt * f [a] #

many :: Alt * f a -> Alt * f [a] #

(Functor m, Monad m, Error e) => Alternative (ErrorT e m) 

Methods

empty :: ErrorT e m a #

(<|>) :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a #

some :: ErrorT e m a -> ErrorT e m [a] #

many :: ErrorT e m a -> ErrorT e m [a] #

(Functor m, MonadPlus m) => Alternative (StateT s m) 

Methods

empty :: StateT s m a #

(<|>) :: StateT s m a -> StateT s m a -> StateT s m a #

some :: StateT s m a -> StateT s m [a] #

many :: StateT s m a -> StateT s m [a] #

Alternative f => Alternative (M1 i c f) 

Methods

empty :: M1 i c f a #

(<|>) :: M1 i c f a -> M1 i c f a -> M1 i c f a #

some :: M1 i c f a -> M1 i c f [a] #

many :: M1 i c f a -> M1 i c f [a] #

(Alternative f, Alternative g) => Alternative (Product * f g) 

Methods

empty :: Product * f g a #

(<|>) :: Product * f g a -> Product * f g a -> Product * f g a #

some :: Product * f g a -> Product * f g [a] #

many :: Product * f g a -> Product * f g [a] #

(Alternative f, Applicative g) => Alternative (Compose * * f g) 

Methods

empty :: Compose * * f g a #

(<|>) :: Compose * * f g a -> Compose * * f g a -> Compose * * f g a #

some :: Compose * * f g a -> Compose * * f g [a] #

many :: Compose * * f g a -> Compose * * f g [a] #

(<|>) :: Alternative f => forall a. f a -> f a -> f a #

An associative binary operation

empty :: Alternative f => forall a. f a #

The identity of <|>

some :: Alternative f => forall a. f a -> f [a] #

One or more.

many :: Alternative f => forall a. f a -> f [a] #

Zero or more.

Utility functions

optional :: Alternative f => f a -> f (Maybe a) #

One or none.

afilter :: (Monad m, Alternative m) => (a -> Bool) -> m a -> m a Source #

A generalized version of filter, which works on anything which is both a Monad and Alternative.

\(Blind p) xs -> filter p xs === afilter p xs

asum :: (Foldable t, Alternative f) => t (f a) -> f a #

The sum of a collection of actions, generalizing concat.

guard :: Alternative f => Bool -> f () #

guard b is pure () if b is True, and empty if b is False.

ensure :: Alternative f => (a -> Bool) -> a -> f a Source #

ensure allows you to attach a condition to something

eitherA :: Alternative f => f a -> f b -> f (Either a b) Source #

eitherA is especially useful for parsers.

toAlt :: (Alternative f, Foldable t) => t a -> f a Source #

Convert any Foldable to an Alternative

mapAlt :: (Monad m, Alternative m, Foldable f) => (a -> f b) -> m a -> m b Source #

Map a function over a monad, and concat the results. This is a generalized form of the function mapMaybe.