-- Hoogle documentation, generated by Haddock
-- See Hoogle, http://www.haskell.org/hoogle/


-- | Haskell 98 bifunctors
--   
--   Haskell 98 bifunctors
@package bifunctors
@version 3.0.3


module Data.Bifoldable
class Bifoldable p where bifold = bifoldMap id id bifoldMap f g = bifoldr (mappend . f) (mappend . g) mempty bifoldr f g z t = appEndo (bifoldMap (Endo . f) (Endo . g) t) z bifoldl f g z t = appEndo (getDual (bifoldMap (Dual . Endo . flip f) (Dual . Endo . flip g) t)) z
bifold :: (Bifoldable p, Monoid m) => p m m -> m
bifoldMap :: (Bifoldable p, Monoid m) => (a -> m) -> (b -> m) -> p a b -> m
bifoldr :: Bifoldable p => (a -> c -> c) -> (b -> c -> c) -> c -> p a b -> c
bifoldl :: Bifoldable p => (c -> a -> c) -> (c -> b -> c) -> c -> p a b -> c
bifoldr' :: Bifoldable t => (a -> c -> c) -> (b -> c -> c) -> c -> t a b -> c
bifoldrM :: (Bifoldable t, Monad m) => (a -> c -> m c) -> (b -> c -> m c) -> c -> t a b -> m c
bifoldl' :: Bifoldable t => (a -> b -> a) -> (a -> c -> a) -> a -> t b c -> a
bifoldlM :: (Bifoldable t, Monad m) => (a -> b -> m a) -> (a -> c -> m a) -> a -> t b c -> m a
bitraverse_ :: (Bifoldable t, Applicative f) => (a -> f c) -> (b -> f d) -> t a b -> f ()
bifor_ :: (Bifoldable t, Applicative f) => t a b -> (a -> f c) -> (b -> f d) -> f ()
bimapM_ :: (Bifoldable t, Monad m) => (a -> m c) -> (b -> m d) -> t a b -> m ()
biforM_ :: (Bifoldable t, Monad m) => t a b -> (a -> m c) -> (b -> m d) -> m ()
bisequenceA_ :: (Bifoldable t, Applicative f) => t (f a) (f b) -> f ()
bisequence_ :: (Bifoldable t, Monad m) => t (m a) (m b) -> m ()
biList :: Bifoldable t => t a a -> [a]
biconcat :: Bifoldable t => t [a] [a] -> [a]
biconcatMap :: Bifoldable t => (a -> [c]) -> (b -> [c]) -> t a b -> [c]
biany :: Bifoldable t => (a -> Bool) -> (b -> Bool) -> t a b -> Bool
biall :: Bifoldable t => (a -> Bool) -> (b -> Bool) -> t a b -> Bool
instance Bifoldable Either
instance Bifoldable (,)


module Data.Semigroup.Bifoldable
class Bifoldable t => Bifoldable1 t where bifold1 = bifoldMap1 id id bifoldMap1 f g = maybe (error "bifoldMap1") id . getOption . bifoldMap (Option . Just . f) (Option . Just . g)
bifold1 :: (Bifoldable1 t, Semigroup m) => t m m -> m
bifoldMap1 :: (Bifoldable1 t, Semigroup m) => (a -> m) -> (b -> m) -> t a b -> m
bitraverse1_ :: (Bifoldable1 t, Apply f) => (a -> f b) -> (c -> f d) -> t a c -> f ()
bifor1_ :: (Bifoldable1 t, Apply f) => t a c -> (a -> f b) -> (c -> f d) -> f ()
bisequenceA1_ :: (Bifoldable1 t, Apply f) => t (f a) (f b) -> f ()

-- | Usable default for foldMap, but only if you define bifoldMap1 yourself
bifoldMapDefault1 :: (Bifoldable1 t, Monoid m) => (a -> m) -> (b -> m) -> t a b -> m
instance Functor f => Functor (Act f)
instance Apply f => Semigroup (Act f a)
instance Bifoldable1 (,)
instance Bifoldable1 Either


module Data.Bifunctor

-- | Minimal definition either <a>bimap</a> or <a>first</a> and
--   <a>second</a>
class Bifunctor p where bimap f g = first f . second g first f = bimap f id second = bimap id
bimap :: Bifunctor p => (a -> b) -> (c -> d) -> p a c -> p b d
first :: Bifunctor p => (a -> b) -> p a c -> p b c
second :: Bifunctor p => (b -> c) -> p a b -> p a c
instance Bifunctor Const
instance Bifunctor Either
instance Bifunctor ((,,,,) x y z)
instance Bifunctor ((,,,) x y)
instance Bifunctor ((,,) x)
instance Bifunctor (,)


module Data.Bifunctor.Apply
class Bifunctor p => Biapply p where a .>> b = bimap (const id) (const id) <<$>> a <<.>> b a <<. b = bimap const const <<$>> a <<.>> b
(<<.>>) :: Biapply p => p (a -> b) (c -> d) -> p a c -> p b d
(.>>) :: Biapply p => p a b -> p c d -> p c d
(<<.) :: Biapply p => p a b -> p c d -> p a b
(<<$>>) :: (a -> b) -> a -> b
(<<..>>) :: Biapply p => p a c -> p (a -> b) (c -> d) -> p b d

-- | Lift binary functions
bilift2 :: Biapply w => (a -> b -> c) -> (d -> e -> f) -> w a d -> w b e -> w c f

-- | Lift ternary functions
bilift3 :: Biapply w => (a -> b -> c -> d) -> (e -> f -> g -> h) -> w a e -> w b f -> w c g -> w d h
instance Biapply (,)


module Data.Bitraversable
class (Bifunctor t, Bifoldable t) => Bitraversable t where bitraverse f g = bisequenceA . bimap f g bisequenceA = bitraverse id id bimapM f g = unwrapMonad . bitraverse (WrapMonad . f) (WrapMonad . g) bisequence = bimapM id id
bitraverse :: (Bitraversable t, Applicative f) => (a -> f c) -> (b -> f d) -> t a b -> f (t c d)
bisequenceA :: (Bitraversable t, Applicative f) => t (f a) (f b) -> f (t a b)
bimapM :: (Bitraversable t, Monad m) => (a -> m c) -> (b -> m d) -> t a b -> m (t c d)
bisequence :: (Bitraversable t, Monad m) => t (m a) (m b) -> m (t a b)
bifor :: (Bitraversable t, Applicative f) => t a b -> (a -> f c) -> (b -> f d) -> f (t c d)
biforM :: (Bitraversable t, Monad m) => t a b -> (a -> m c) -> (b -> m d) -> m (t c d)
bimapAccumL :: Bitraversable t => (a -> b -> (a, c)) -> (a -> d -> (a, e)) -> a -> t b d -> (a, t c e)
bimapAccumR :: Bitraversable t => (a -> b -> (a, c)) -> (a -> d -> (a, e)) -> a -> t b d -> (a, t c e)
bimapDefault :: Bitraversable t => (a -> b) -> (c -> d) -> t a c -> t b d
bifoldMapDefault :: (Bitraversable t, Monoid m) => (a -> m) -> (b -> m) -> t a b -> m
instance Applicative Id
instance Functor Id
instance Applicative (StateR s)
instance Functor (StateR s)
instance Applicative (StateL s)
instance Functor (StateL s)
instance Bitraversable Either
instance Bitraversable (,)


module Data.Semigroup.Bitraversable
class (Bifoldable1 t, Bitraversable t) => Bitraversable1 t where bitraverse1 f g = bisequence1 . bimap f g bisequence1 = bitraverse1 id id
bitraverse1 :: (Bitraversable1 t, Apply f) => (a -> f b) -> (c -> f d) -> t a c -> f (t b d)
bisequence1 :: (Bitraversable1 t, Apply f) => t (f a) (f b) -> f (t a b)
bifoldMap1Default :: (Bitraversable1 t, Semigroup m) => (a -> m) -> (b -> m) -> t a b -> m
instance Bitraversable1 (,)
instance Bitraversable1 Either