Copyright	(C) 2011-2015 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	portable
Safe Haskell	Safe
Language	Haskell98

Data.Functor.Bind.Class

Contents

Applyable functors
Wrappers
Bindable functors
Biappliable bifunctors

Description

This module is used to resolve the cyclic we get from defining these classes here rather than in a package upstream. Otherwise we'd get orphaned heads for many instances on the types in transformers and bifunctors.

Synopsis

Applyable functors

class Functor f => Apply f where Source #

A strong lax semi-monoidal endofunctor. This is equivalent to an Applicative without pure.

Laws:

(.) <$> u <.> v <.> w = u <.> (v <.> w)
x <.> (f <$> y) = (. f) <$> x <.> y
f <$> (x <.> y) = (f .) <$> x <.> y

The laws imply that .> and <. really ignore their left and right results, respectively, and really return their right and left results, respectively. Specifically,

(mf <$> m) .> (nf <$> n) = nf <$> (m .> n)
(mf <$> m) <. (nf <$> n) = mf <$> (m <. n)

Minimal complete definition

(<.>)

Methods

(<.>) :: f (a -> b) -> f a -> f b infixl 4 Source #

(.>) :: f a -> f b -> f b infixl 4 Source #

 a .> b = const id <$> a <.> b

(<.) :: f a -> f b -> f a infixl 4 Source #

 a <. b = const <$> a <.> b

Instances

Apply [] Source #
Methods (<.>) :: [a -> b] -> [a] -> [b] Source # (.>) :: [a] -> [b] -> [b] Source # (<.) :: [a] -> [b] -> [a] Source #
Apply Maybe Source #
Methods (<.>) :: Maybe (a -> b) -> Maybe a -> Maybe b Source # (.>) :: Maybe a -> Maybe b -> Maybe b Source # (<.) :: Maybe a -> Maybe b -> Maybe a Source #
Apply IO Source #
Methods (<.>) :: IO (a -> b) -> IO a -> IO b Source # (.>) :: IO a -> IO b -> IO b Source # (<.) :: IO a -> IO b -> IO a Source #
Apply Identity Source #
Methods (<.>) :: Identity (a -> b) -> Identity a -> Identity b Source # (.>) :: Identity a -> Identity b -> Identity b Source # (<.) :: Identity a -> Identity b -> Identity a Source #
Apply Option Source #
Methods (<.>) :: Option (a -> b) -> Option a -> Option b Source # (.>) :: Option a -> Option b -> Option b Source # (<.) :: Option a -> Option b -> Option a Source #
Apply NonEmpty Source #
Methods (<.>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b Source # (.>) :: NonEmpty a -> NonEmpty b -> NonEmpty b Source # (<.) :: NonEmpty a -> NonEmpty b -> NonEmpty a Source #
Apply ZipList Source #
Methods (<.>) :: ZipList (a -> b) -> ZipList a -> ZipList b Source # (.>) :: ZipList a -> ZipList b -> ZipList b Source # (<.) :: ZipList a -> ZipList b -> ZipList a Source #
Apply Tree Source #
Methods (<.>) :: Tree (a -> b) -> Tree a -> Tree b Source # (.>) :: Tree a -> Tree b -> Tree b Source # (<.) :: Tree a -> Tree b -> Tree a Source #
Apply Seq Source #
Methods (<.>) :: Seq (a -> b) -> Seq a -> Seq b Source # (.>) :: Seq a -> Seq b -> Seq b Source # (<.) :: Seq a -> Seq b -> Seq a Source #
Apply IntMap Source #	An IntMap is not `Applicative`, but it is an instance of `Apply`
Methods (<.>) :: IntMap (a -> b) -> IntMap a -> IntMap b Source # (.>) :: IntMap a -> IntMap b -> IntMap b Source # (<.) :: IntMap a -> IntMap b -> IntMap a Source #
Apply ((->) m) Source #
Methods (<.>) :: (m -> a -> b) -> (m -> a) -> m -> b Source # (.>) :: (m -> a) -> (m -> b) -> m -> b Source # (<.) :: (m -> a) -> (m -> b) -> m -> a Source #
Apply (Either a) Source #
Methods (<.>) :: Either a (a -> b) -> Either a a -> Either a b Source # (.>) :: Either a a -> Either a b -> Either a b Source # (<.) :: Either a a -> Either a b -> Either a a Source #
Semigroup m => Apply ((,) m) Source #
Methods (<.>) :: (m, a -> b) -> (m, a) -> (m, b) Source # (.>) :: (m, a) -> (m, b) -> (m, b) Source # (<.) :: (m, a) -> (m, b) -> (m, a) Source #
Monad m => Apply (WrappedMonad m) Source #
Methods (<.>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b Source # (.>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b Source # (<.) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a Source #
Ord k => Apply (Map k) Source #	A Map is not `Applicative`, but it is an instance of `Apply`
Methods (<.>) :: Map k (a -> b) -> Map k a -> Map k b Source # (.>) :: Map k a -> Map k b -> Map k b Source # (<.) :: Map k a -> Map k b -> Map k a Source #
Apply f => Apply (Lift f) Source #
Methods (<.>) :: Lift f (a -> b) -> Lift f a -> Lift f b Source # (.>) :: Lift f a -> Lift f b -> Lift f b Source # (<.) :: Lift f a -> Lift f b -> Lift f a Source #
(Functor m, Monad m) => Apply (MaybeT m) Source #
Methods (<.>) :: MaybeT m (a -> b) -> MaybeT m a -> MaybeT m b Source # (.>) :: MaybeT m a -> MaybeT m b -> MaybeT m b Source # (<.) :: MaybeT m a -> MaybeT m b -> MaybeT m a Source #
Apply m => Apply (ListT m) Source #
Methods (<.>) :: ListT m (a -> b) -> ListT m a -> ListT m b Source # (.>) :: ListT m a -> ListT m b -> ListT m b Source # (<.) :: ListT m a -> ListT m b -> ListT m a Source #
Apply f => Apply (MaybeApply f) Source #
Methods (<.>) :: MaybeApply f (a -> b) -> MaybeApply f a -> MaybeApply f b Source # (.>) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f b Source # (<.) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f a Source #
Applicative f => Apply (WrappedApplicative f) Source #
Methods (<.>) :: WrappedApplicative f (a -> b) -> WrappedApplicative f a -> WrappedApplicative f b Source # (.>) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f b Source # (<.) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f a Source #
Arrow a => Apply (WrappedArrow a b) Source #
Methods (<.>) :: WrappedArrow a b (a -> b) -> WrappedArrow a b a -> WrappedArrow a b b Source # (.>) :: WrappedArrow a b a -> WrappedArrow a b b -> WrappedArrow a b b Source # (<.) :: WrappedArrow a b a -> WrappedArrow a b b -> WrappedArrow a b a Source #
Semigroup m => Apply (Const * m) Source #
Methods (<.>) :: Const * m (a -> b) -> Const * m a -> Const * m b Source # (.>) :: Const * m a -> Const * m b -> Const * m b Source # (<.) :: Const * m a -> Const * m b -> Const * m a Source #
Biapply p => Apply (Join * p) Source #
Methods (<.>) :: Join * p (a -> b) -> Join * p a -> Join * p b Source # (.>) :: Join * p a -> Join * p b -> Join * p b Source # (<.) :: Join * p a -> Join * p b -> Join * p a Source #
Apply w => Apply (TracedT m w) Source #
Methods (<.>) :: TracedT m w (a -> b) -> TracedT m w a -> TracedT m w b Source # (.>) :: TracedT m w a -> TracedT m w b -> TracedT m w b Source # (<.) :: TracedT m w a -> TracedT m w b -> TracedT m w a Source #
(Apply w, Semigroup s) => Apply (StoreT s w) Source #
Methods (<.>) :: StoreT s w (a -> b) -> StoreT s w a -> StoreT s w b Source # (.>) :: StoreT s w a -> StoreT s w b -> StoreT s w b Source # (<.) :: StoreT s w a -> StoreT s w b -> StoreT s w a Source #
(Semigroup e, Apply w) => Apply (EnvT e w) Source #
Methods (<.>) :: EnvT e w (a -> b) -> EnvT e w a -> EnvT e w b Source # (.>) :: EnvT e w a -> EnvT e w b -> EnvT e w b Source # (<.) :: EnvT e w a -> EnvT e w b -> EnvT e w a Source #
Apply (Cokleisli w a) Source #
Methods (<.>) :: Cokleisli w a (a -> b) -> Cokleisli w a a -> Cokleisli w a b Source # (.>) :: Cokleisli w a a -> Cokleisli w a b -> Cokleisli w a b Source # (<.) :: Cokleisli w a a -> Cokleisli w a b -> Cokleisli w a a Source #
Apply w => Apply (IdentityT * w) Source #
Methods (<.>) :: IdentityT * w (a -> b) -> IdentityT * w a -> IdentityT * w b Source # (.>) :: IdentityT * w a -> IdentityT * w b -> IdentityT * w b Source # (<.) :: IdentityT * w a -> IdentityT * w b -> IdentityT * w a Source #
Apply f => Apply (Reverse * f) Source #
Methods (<.>) :: Reverse * f (a -> b) -> Reverse * f a -> Reverse * f b Source # (.>) :: Reverse * f a -> Reverse * f b -> Reverse * f b Source # (<.) :: Reverse * f a -> Reverse * f b -> Reverse * f a Source #
Apply f => Apply (Backwards * f) Source #
Methods (<.>) :: Backwards * f (a -> b) -> Backwards * f a -> Backwards * f b Source # (.>) :: Backwards * f a -> Backwards * f b -> Backwards * f b Source # (<.) :: Backwards * f a -> Backwards * f b -> Backwards * f a Source #
(Apply m, Semigroup w) => Apply (WriterT w m) Source #
Methods (<.>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b Source # (.>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source # (<.) :: WriterT w m a -> WriterT w m b -> WriterT w m a Source #
(Apply m, Semigroup w) => Apply (WriterT w m) Source #
Methods (<.>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b Source # (.>) :: WriterT w m a -> WriterT w m b -> WriterT w m b Source # (<.) :: WriterT w m a -> WriterT w m b -> WriterT w m a Source #
Bind m => Apply (StateT s m) Source #
Methods (<.>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b Source # (.>) :: StateT s m a -> StateT s m b -> StateT s m b Source # (<.) :: StateT s m a -> StateT s m b -> StateT s m a Source #
Bind m => Apply (StateT s m) Source #
Methods (<.>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b Source # (.>) :: StateT s m a -> StateT s m b -> StateT s m b Source # (<.) :: StateT s m a -> StateT s m b -> StateT s m a Source #
(Functor m, Monad m) => Apply (ErrorT e m) Source #
Methods (<.>) :: ErrorT e m (a -> b) -> ErrorT e m a -> ErrorT e m b Source # (.>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b Source # (<.) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m a Source #
(Functor m, Monad m) => Apply (ExceptT e m) Source #
Methods (<.>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b Source # (.>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b Source # (<.) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m a Source #
Semigroup f => Apply (Constant * f) Source #
Methods (<.>) :: Constant * f (a -> b) -> Constant * f a -> Constant * f b Source # (.>) :: Constant * f a -> Constant * f b -> Constant * f b Source # (<.) :: Constant * f a -> Constant * f b -> Constant * f a Source #
Apply f => Apply (Static f a) Source #
Methods (<.>) :: Static f a (a -> b) -> Static f a a -> Static f a b Source # (.>) :: Static f a a -> Static f a b -> Static f a b Source # (<.) :: Static f a a -> Static f a b -> Static f a a Source #
(Apply f, Apply g) => Apply (Product * f g) Source #
Methods (<.>) :: Product * f g (a -> b) -> Product * f g a -> Product * f g b Source # (.>) :: Product * f g a -> Product * f g b -> Product * f g b Source # (<.) :: Product * f g a -> Product * f g b -> Product * f g a Source #
Apply m => Apply (ReaderT * e m) Source #
Methods (<.>) :: ReaderT * e m (a -> b) -> ReaderT * e m a -> ReaderT * e m b Source # (.>) :: ReaderT * e m a -> ReaderT * e m b -> ReaderT * e m b Source # (<.) :: ReaderT * e m a -> ReaderT * e m b -> ReaderT * e m a Source #
Apply (ContT * r m) Source #
Methods (<.>) :: ContT * r m (a -> b) -> ContT * r m a -> ContT * r m b Source # (.>) :: ContT * r m a -> ContT * r m b -> ContT * r m b Source # (<.) :: ContT * r m a -> ContT * r m b -> ContT * r m a Source #
(Apply f, Apply g) => Apply (Compose * * f g) Source #
Methods (<.>) :: Compose * * f g (a -> b) -> Compose * * f g a -> Compose * * f g b Source # (.>) :: Compose * * f g a -> Compose * * f g b -> Compose * * f g b Source # (<.) :: Compose * * f g a -> Compose * * f g b -> Compose * * f g a Source #
(Bind m, Semigroup w) => Apply (RWST r w s m) Source #
Methods (<.>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b Source # (.>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source # (<.) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a Source #
(Bind m, Semigroup w) => Apply (RWST r w s m) Source #
Methods (<.>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b Source # (.>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b Source # (<.) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a Source #

Wrappers

newtype WrappedApplicative f a Source #

Wrap an Applicative to be used as a member of Apply

Constructors

WrapApplicative
Fields unwrapApplicative :: f a

Instances

Functor f => Functor (WrappedApplicative f) Source #
Methods fmap :: (a -> b) -> WrappedApplicative f a -> WrappedApplicative f b # (<$) :: a -> WrappedApplicative f b -> WrappedApplicative f a #
Applicative f => Applicative (WrappedApplicative f) Source #
Methods pure :: a -> WrappedApplicative f a # (<>) :: WrappedApplicative f (a -> b) -> WrappedApplicative f a -> WrappedApplicative f b # (>) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f b # (<*) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f a #
Alternative f => Alternative (WrappedApplicative f) Source #
Methods empty :: WrappedApplicative f a # (<\|>) :: WrappedApplicative f a -> WrappedApplicative f a -> WrappedApplicative f a # some :: WrappedApplicative f a -> WrappedApplicative f [a] # many :: WrappedApplicative f a -> WrappedApplicative f [a] #
Applicative f => Apply (WrappedApplicative f) Source #
Methods (<.>) :: WrappedApplicative f (a -> b) -> WrappedApplicative f a -> WrappedApplicative f b Source # (.>) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f b Source # (<.) :: WrappedApplicative f a -> WrappedApplicative f b -> WrappedApplicative f a Source #
Alternative f => Alt (WrappedApplicative f) Source #
Methods (<!>) :: WrappedApplicative f a -> WrappedApplicative f a -> WrappedApplicative f a Source # some :: Applicative (WrappedApplicative f) => WrappedApplicative f a -> WrappedApplicative f [a] Source # many :: Applicative (WrappedApplicative f) => WrappedApplicative f a -> WrappedApplicative f [a] Source #
Alternative f => Plus (WrappedApplicative f) Source #
Methods zero :: WrappedApplicative f a Source #

newtype MaybeApply f a Source #

Transform a Apply into an Applicative by adding a unit.

Constructors

MaybeApply
Fields runMaybeApply :: Either (f a) a

Instances

Functor f => Functor (MaybeApply f) Source #
Methods fmap :: (a -> b) -> MaybeApply f a -> MaybeApply f b # (<$) :: a -> MaybeApply f b -> MaybeApply f a #
Apply f => Applicative (MaybeApply f) Source #
Methods pure :: a -> MaybeApply f a # (<>) :: MaybeApply f (a -> b) -> MaybeApply f a -> MaybeApply f b # (>) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f b # (<*) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f a #
Comonad f => Comonad (MaybeApply f) Source #
Methods extract :: MaybeApply f a -> a # duplicate :: MaybeApply f a -> MaybeApply f (MaybeApply f a) # extend :: (MaybeApply f a -> b) -> MaybeApply f a -> MaybeApply f b #
Extend f => Extend (MaybeApply f) Source #
Methods duplicated :: MaybeApply f a -> MaybeApply f (MaybeApply f a) Source # extended :: (MaybeApply f a -> b) -> MaybeApply f a -> MaybeApply f b Source #
Apply f => Apply (MaybeApply f) Source #
Methods (<.>) :: MaybeApply f (a -> b) -> MaybeApply f a -> MaybeApply f b Source # (.>) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f b Source # (<.) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f a Source #

Bindable functors

class Apply m => Bind m where Source #

A Monad sans return.

Minimal definition: Either join or >>-

If defining both, then the following laws (the default definitions) must hold:

join = (>>- id)
m >>- f = join (fmap f m)

Laws:

induced definition of <.>: f <.> x = f >>- (<$> x)

Finally, there are two associativity conditions:

associativity of (>>-):    (m >>- f) >>- g == m >>- (\x -> f x >>- g)
associativity of join:     join . join = join . fmap join

These can both be seen as special cases of the constraint that

associativity of (->-): (f ->- g) ->- h = f ->- (g ->- h)

Minimal complete definition

(>>-) | join

Methods

(>>-) :: m a -> (a -> m b) -> m b infixl 1 Source #

join :: m (m a) -> m a Source #

Instances

Bind [] Source #
Methods (>>-) :: [a] -> (a -> [b]) -> [b] Source # join :: [[a]] -> [a] Source #
Bind Maybe Source #
Methods (>>-) :: Maybe a -> (a -> Maybe b) -> Maybe b Source # join :: Maybe (Maybe a) -> Maybe a Source #
Bind IO Source #
Methods (>>-) :: IO a -> (a -> IO b) -> IO b Source # join :: IO (IO a) -> IO a Source #
Bind Identity Source #
Methods (>>-) :: Identity a -> (a -> Identity b) -> Identity b Source # join :: Identity (Identity a) -> Identity a Source #
Bind Option Source #
Methods (>>-) :: Option a -> (a -> Option b) -> Option b Source # join :: Option (Option a) -> Option a Source #
Bind NonEmpty Source #
Methods (>>-) :: NonEmpty a -> (a -> NonEmpty b) -> NonEmpty b Source # join :: NonEmpty (NonEmpty a) -> NonEmpty a Source #
Bind Tree Source #
Methods (>>-) :: Tree a -> (a -> Tree b) -> Tree b Source # join :: Tree (Tree a) -> Tree a Source #
Bind Seq Source #
Methods (>>-) :: Seq a -> (a -> Seq b) -> Seq b Source # join :: Seq (Seq a) -> Seq a Source #
Bind IntMap Source #	An `IntMap` is not a `Monad`, but it is an instance of `Bind`
Methods (>>-) :: IntMap a -> (a -> IntMap b) -> IntMap b Source # join :: IntMap (IntMap a) -> IntMap a Source #
Bind ((->) m) Source #
Methods (>>-) :: (m -> a) -> (a -> m -> b) -> m -> b Source # join :: (m -> m -> a) -> m -> a Source #
Bind (Either a) Source #
Methods (>>-) :: Either a a -> (a -> Either a b) -> Either a b Source # join :: Either a (Either a a) -> Either a a Source #
Semigroup m => Bind ((,) m) Source #
Methods (>>-) :: (m, a) -> (a -> (m, b)) -> (m, b) Source # join :: (m, (m, a)) -> (m, a) Source #
Monad m => Bind (WrappedMonad m) Source #
Methods (>>-) :: WrappedMonad m a -> (a -> WrappedMonad m b) -> WrappedMonad m b Source # join :: WrappedMonad m (WrappedMonad m a) -> WrappedMonad m a Source #
Ord k => Bind (Map k) Source #	A `Map` is not a `Monad`, but it is an instance of `Bind`
Methods (>>-) :: Map k a -> (a -> Map k b) -> Map k b Source # join :: Map k (Map k a) -> Map k a Source #
(Functor m, Monad m) => Bind (MaybeT m) Source #
Methods (>>-) :: MaybeT m a -> (a -> MaybeT m b) -> MaybeT m b Source # join :: MaybeT m (MaybeT m a) -> MaybeT m a Source #
(Apply m, Monad m) => Bind (ListT m) Source #
Methods (>>-) :: ListT m a -> (a -> ListT m b) -> ListT m b Source # join :: ListT m (ListT m a) -> ListT m a Source #
Bind m => Bind (IdentityT * m) Source #
Methods (>>-) :: IdentityT * m a -> (a -> IdentityT * m b) -> IdentityT * m b Source # join :: IdentityT * m (IdentityT * m a) -> IdentityT * m a Source #
(Bind m, Semigroup w) => Bind (WriterT w m) Source #
Methods (>>-) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b Source # join :: WriterT w m (WriterT w m a) -> WriterT w m a Source #
(Bind m, Semigroup w) => Bind (WriterT w m) Source #
Methods (>>-) :: WriterT w m a -> (a -> WriterT w m b) -> WriterT w m b Source # join :: WriterT w m (WriterT w m a) -> WriterT w m a Source #
Bind m => Bind (StateT s m) Source #
Methods (>>-) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b Source # join :: StateT s m (StateT s m a) -> StateT s m a Source #
Bind m => Bind (StateT s m) Source #
Methods (>>-) :: StateT s m a -> (a -> StateT s m b) -> StateT s m b Source # join :: StateT s m (StateT s m a) -> StateT s m a Source #
(Functor m, Monad m) => Bind (ErrorT e m) Source #
Methods (>>-) :: ErrorT e m a -> (a -> ErrorT e m b) -> ErrorT e m b Source # join :: ErrorT e m (ErrorT e m a) -> ErrorT e m a Source #
(Functor m, Monad m) => Bind (ExceptT e m) Source #
Methods (>>-) :: ExceptT e m a -> (a -> ExceptT e m b) -> ExceptT e m b Source # join :: ExceptT e m (ExceptT e m a) -> ExceptT e m a Source #
(Bind f, Bind g) => Bind (Product * f g) Source #
Methods (>>-) :: Product * f g a -> (a -> Product * f g b) -> Product * f g b Source # join :: Product * f g (Product * f g a) -> Product * f g a Source #
Bind m => Bind (ReaderT * e m) Source #
Methods (>>-) :: ReaderT * e m a -> (a -> ReaderT * e m b) -> ReaderT * e m b Source # join :: ReaderT * e m (ReaderT * e m a) -> ReaderT * e m a Source #
Bind (ContT * r m) Source #
Methods (>>-) :: ContT * r m a -> (a -> ContT * r m b) -> ContT * r m b Source # join :: ContT * r m (ContT * r m a) -> ContT * r m a Source #
(Bind m, Semigroup w) => Bind (RWST r w s m) Source #
Methods (>>-) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b Source # join :: RWST r w s m (RWST r w s m a) -> RWST r w s m a Source #
(Bind m, Semigroup w) => Bind (RWST r w s m) Source #
Methods (>>-) :: RWST r w s m a -> (a -> RWST r w s m b) -> RWST r w s m b Source # join :: RWST r w s m (RWST r w s m a) -> RWST r w s m a Source #

apDefault :: Bind f => f (a -> b) -> f a -> f b Source #

returning :: Functor f => f a -> (a -> b) -> f b Source #

Biappliable bifunctors

class Bifunctor p => Biapply p where Source #

Minimal complete definition

(<<.>>)

Methods

(<<.>>) :: p (a -> b) (c -> d) -> p a c -> p b d infixl 4 Source #

(.>>) :: p a b -> p c d -> p c d infixl 4 Source #

a .> b ≡ const id <$> a <.> b

(<<.) :: p a b -> p c d -> p a b infixl 4 Source #

a <. b ≡ const <$> a <.> b

Instances

Biapply (,) Source #
Methods (<<.>>) :: (a -> b, c -> d) -> (a, c) -> (b, d) Source # (.>>) :: (a, b) -> (c, d) -> (c, d) Source # (<<.) :: (a, b) -> (c, d) -> (a, b) Source #
Biapply Arg Source #
Methods (<<.>>) :: Arg (a -> b) (c -> d) -> Arg a c -> Arg b d Source # (.>>) :: Arg a b -> Arg c d -> Arg c d Source # (<<.) :: Arg a b -> Arg c d -> Arg a b Source #
Semigroup x => Biapply ((,,) x) Source #
Methods (<<.>>) :: (x, a -> b, c -> d) -> (x, a, c) -> (x, b, d) Source # (.>>) :: (x, a, b) -> (x, c, d) -> (x, c, d) Source # (<<.) :: (x, a, b) -> (x, c, d) -> (x, a, b) Source #
Biapply (Const *) Source #
Methods (<<.>>) :: Const * (a -> b) (c -> d) -> Const * a c -> Const * b d Source # (.>>) :: Const * a b -> Const * c d -> Const * c d Source # (<<.) :: Const * a b -> Const * c d -> Const * a b Source #
Biapply (Tagged *) Source #
Methods (<<.>>) :: Tagged * (a -> b) (c -> d) -> Tagged * a c -> Tagged * b d Source # (.>>) :: Tagged * a b -> Tagged * c d -> Tagged * c d Source # (<<.) :: Tagged * a b -> Tagged * c d -> Tagged * a b Source #
(Semigroup x, Semigroup y) => Biapply ((,,,) x y) Source #
Methods (<<.>>) :: (x, y, a -> b, c -> d) -> (x, y, a, c) -> (x, y, b, d) Source # (.>>) :: (x, y, a, b) -> (x, y, c, d) -> (x, y, c, d) Source # (<<.) :: (x, y, a, b) -> (x, y, c, d) -> (x, y, a, b) Source #
(Semigroup x, Semigroup y, Semigroup z) => Biapply ((,,,,) x y z) Source #
Methods (<<.>>) :: (x, y, z, a -> b, c -> d) -> (x, y, z, a, c) -> (x, y, z, b, d) Source # (.>>) :: (x, y, z, a, b) -> (x, y, z, c, d) -> (x, y, z, c, d) Source # (<<.) :: (x, y, z, a, b) -> (x, y, z, c, d) -> (x, y, z, a, b) Source #
Biapply p => Biapply (WrappedBifunctor * * p) Source #
Methods (<<.>>) :: WrappedBifunctor * * p (a -> b) (c -> d) -> WrappedBifunctor * * p a c -> WrappedBifunctor * * p b d Source # (.>>) :: WrappedBifunctor * * p a b -> WrappedBifunctor * * p c d -> WrappedBifunctor * * p c d Source # (<<.) :: WrappedBifunctor * * p a b -> WrappedBifunctor * * p c d -> WrappedBifunctor * * p a b Source #
Apply g => Biapply (Joker * * g) Source #
Methods (<<.>>) :: Joker * * g (a -> b) (c -> d) -> Joker * * g a c -> Joker * * g b d Source # (.>>) :: Joker * * g a b -> Joker * * g c d -> Joker * * g c d Source # (<<.) :: Joker * * g a b -> Joker * * g c d -> Joker * * g a b Source #
Biapply p => Biapply (Flip * * p) Source #
Methods (<<.>>) :: Flip * * p (a -> b) (c -> d) -> Flip * * p a c -> Flip * * p b d Source # (.>>) :: Flip * * p a b -> Flip * * p c d -> Flip * * p c d Source # (<<.) :: Flip * * p a b -> Flip * * p c d -> Flip * * p a b Source #
Apply f => Biapply (Clown * * f) Source #
Methods (<<.>>) :: Clown * * f (a -> b) (c -> d) -> Clown * * f a c -> Clown * * f b d Source # (.>>) :: Clown * * f a b -> Clown * * f c d -> Clown * * f c d Source # (<<.) :: Clown * * f a b -> Clown * * f c d -> Clown * * f a b Source #
(Biapply p, Biapply q) => Biapply (Product * * p q) Source #
Methods (<<.>>) :: Product * * p q (a -> b) (c -> d) -> Product * * p q a c -> Product * * p q b d Source # (.>>) :: Product * * p q a b -> Product * * p q c d -> Product * * p q c d Source # (<<.) :: Product * * p q a b -> Product * * p q c d -> Product * * p q a b Source #
(Apply f, Biapply p) => Biapply (Tannen * * * f p) Source #
Methods (<<.>>) :: Tannen * * * f p (a -> b) (c -> d) -> Tannen * * * f p a c -> Tannen * * * f p b d Source # (.>>) :: Tannen * * * f p a b -> Tannen * * * f p c d -> Tannen * * * f p c d Source # (<<.) :: Tannen * * * f p a b -> Tannen * * * f p c d -> Tannen * * * f p a b Source #
(Biapply p, Apply f, Apply g) => Biapply (Biff * * * * p f g) Source #
Methods (<<.>>) :: Biff * * * * p f g (a -> b) (c -> d) -> Biff * * * * p f g a c -> Biff * * * * p f g b d Source # (.>>) :: Biff * * * * p f g a b -> Biff * * * * p f g c d -> Biff * * * * p f g c d Source # (<<.) :: Biff * * * * p f g a b -> Biff * * * * p f g c d -> Biff * * * * p f g a b Source #