Data.Bifunctor.Tannen

Documentation

newtype Tannen f p a b

Compose a Functor on the outside of a Bifunctor.

Constructors

Tannen

Fields

• runTannen :: f (p a b)

Instances

Functor f => BifunctorFunctor k k1 k k1 (Tannen * k k1 f)

Methods

bifmap :: (Tannen * k k1 f :-> k) p q -> (k :-> k) (t p) (t q)

Comonad f => BifunctorComonad k k1 (Tannen * k k1 f)

Methods

biextract :: t p a b -> p a b

biextend :: (Tannen * k k1 f :-> k) (t p) q -> (Tannen * k k1 f :-> k) (t p) (t q)

biduplicate :: t p a b -> t (t p) a b

(Functor f, Monad f) => BifunctorMonad k k1 (Tannen * k k1 f)

Methods

bireturn :: p a b -> t p a b

bibind :: (Tannen * k k1 f :-> k) p (t q) -> (Tannen * k k1 f :-> k) (t p) (t q)

bijoin :: t (t p) a b -> t p a b

(Applicative f, Category k p) => Category k (Tannen * k k f p)

Methods

id :: cat a a

(.) :: cat b c -> cat a b -> cat a c

(Functor f, Bifunctor p) => Bifunctor (Tannen * * * f p)

Methods

bimap :: (a -> b) -> (c -> d) -> Tannen * * * f p a c -> Tannen * * * f p b d

first :: (a -> b) -> Tannen * * * f p a c -> Tannen * * * f p b c

second :: (b -> c) -> Tannen * * * f p a b -> Tannen * * * f p a c

(Applicative f, Arrow p) => Arrow (Tannen * * * f p)

Methods

arr :: (b -> c) -> Tannen * * * f p b c

first :: Tannen * * * f p b c -> Tannen * * * f p (b, d) (c, d)

second :: Tannen * * * f p b c -> Tannen * * * f p (d, b) (d, c)

(***) :: Tannen * * * f p b c -> Tannen * * * f p b' c' -> Tannen * * * f p (b, b') (c, c')

(&&&) :: Tannen * * * f p b c -> Tannen * * * f p b c' -> Tannen * * * f p b (c, c')

(Applicative f, ArrowZero p) => ArrowZero (Tannen * * * f p)

Methods

zeroArrow :: Tannen * * * f p b c

(Applicative f, ArrowPlus p) => ArrowPlus (Tannen * * * f p)

Methods

(<+>) :: Tannen * * * f p b c -> Tannen * * * f p b c -> Tannen * * * f p b c

(Applicative f, ArrowChoice p) => ArrowChoice (Tannen * * * f p)

Methods

left :: Tannen * * * f p b c -> Tannen * * * f p (Either b d) (Either c d)

right :: Tannen * * * f p b c -> Tannen * * * f p (Either d b) (Either d c)

(+++) :: Tannen * * * f p b c -> Tannen * * * f p b' c' -> Tannen * * * f p (Either b b') (Either c c')

(|||) :: Tannen * * * f p b d -> Tannen * * * f p c d -> Tannen * * * f p (Either b c) d

(Applicative f, ArrowLoop p) => ArrowLoop (Tannen * * * f p)

Methods

loop :: Tannen * * * f p (b, d) (c, d) -> Tannen * * * f p b c

(Foldable f, Bifoldable p) => Bifoldable (Tannen * * * f p)

Methods

bifold :: Monoid m => Tannen * * * f p m m -> m

bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Tannen * * * f p a b -> m

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Tannen * * * f p a b -> c

bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Tannen * * * f p a b -> c

(Traversable f, Bitraversable p) => Bitraversable (Tannen * * * f p)

Methods

bitraverse :: Applicative f => (a -> f c) -> (b -> f d) -> Tannen * * * f p a b -> f (Tannen * * * f p c d)

(Applicative f, Biapplicative p) => Biapplicative (Tannen * * * f p)

Methods

bipure :: a -> b -> Tannen * * * f p a b

(<<*>>) :: Tannen * * * f p (a -> b) (c -> d) -> Tannen * * * f p a c -> Tannen * * * f p b d

(*>>) :: Tannen * * * f p a b -> Tannen * * * f p c d -> Tannen * * * f p c d

(<<*) :: Tannen * * * f p a b -> Tannen * * * f p c d -> Tannen * * * f p a b

(Functor f, Bifunctor p) => Functor (Tannen * * * f p a)

Methods

fmap :: (a -> b) -> Tannen * * * f p a a -> Tannen * * * f p a b

(<$) :: a -> Tannen * * * f p a b -> Tannen * * * f p a a

(Foldable f, Bifoldable p) => Foldable (Tannen * * * f p a)

Methods

fold :: Monoid m => Tannen * * * f p a m -> m

foldMap :: Monoid m => (a -> m) -> Tannen * * * f p a a -> m

foldr :: (a -> b -> b) -> b -> Tannen * * * f p a a -> b

foldr' :: (a -> b -> b) -> b -> Tannen * * * f p a a -> b

foldl :: (b -> a -> b) -> b -> Tannen * * * f p a a -> b

foldl' :: (b -> a -> b) -> b -> Tannen * * * f p a a -> b

foldr1 :: (a -> a -> a) -> Tannen * * * f p a a -> a

foldl1 :: (a -> a -> a) -> Tannen * * * f p a a -> a

toList :: Tannen * * * f p a a -> [a]

null :: Tannen * * * f p a a -> Bool

length :: Tannen * * * f p a a -> Int

elem :: Eq a => a -> Tannen * * * f p a a -> Bool

maximum :: Ord a => Tannen * * * f p a a -> a

minimum :: Ord a => Tannen * * * f p a a -> a

sum :: Num a => Tannen * * * f p a a -> a

product :: Num a => Tannen * * * f p a a -> a

(Traversable f, Bitraversable p) => Traversable (Tannen * * * f p a)

Methods

traverse :: Applicative f => (a -> f b) -> Tannen * * * f p a a -> f (Tannen * * * f p a b)

sequenceA :: Applicative f => Tannen * * * f p a (f a) -> f (Tannen * * * f p a a)

mapM :: Monad m => (a -> m b) -> Tannen * * * f p a a -> m (Tannen * * * f p a b)

sequence :: Monad m => Tannen * * * f p a (m a) -> m (Tannen * * * f p a a)

Functor f => Generic1 (Tannen * k * f p a)

Associated Types

type Rep1 (Tannen * k * f p a :: * -> *) :: * -> *

Methods

from1 :: Tannen * k * f p a a -> Rep1 (Tannen * k * f p a) a

to1 :: Rep1 (Tannen * k * f p a) a -> Tannen * k * f p a a

Eq (f (p a b)) => Eq (Tannen k k1 k2 f p a b)

Methods

(==) :: Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b -> Bool

(/=) :: Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b -> Bool

Ord (f (p a b)) => Ord (Tannen k k1 k2 f p a b)

Methods

compare :: Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b -> Ordering

(<) :: Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b -> Bool

(<=) :: Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b -> Bool

(>) :: Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b -> Bool

(>=) :: Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b -> Bool

max :: Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b

min :: Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b -> Tannen k k1 k2 f p a b

Read (f (p a b)) => Read (Tannen k k1 k2 f p a b)

Methods

readsPrec :: Int -> ReadS (Tannen k k1 k2 f p a b)

readList :: ReadS [Tannen k k1 k2 f p a b]

readPrec :: ReadPrec (Tannen k k1 k2 f p a b)

readListPrec :: ReadPrec [Tannen k k1 k2 f p a b]

Show (f (p a b)) => Show (Tannen k k1 k2 f p a b)

Methods

showsPrec :: Int -> Tannen k k1 k2 f p a b -> ShowS

show :: Tannen k k1 k2 f p a b -> String

showList :: [Tannen k k1 k2 f p a b] -> ShowS

Generic (Tannen k k1 k2 f p a b)

Associated Types

type Rep (Tannen k k1 k2 f p a b) :: * -> *

Methods

from :: Tannen k k1 k2 f p a b -> Rep (Tannen k k1 k2 f p a b) x

to :: Rep (Tannen k k1 k2 f p a b) x -> Tannen k k1 k2 f p a b

type Rep1 (Tannen * k * f p a)

type Rep1 (Tannen * k * f p a) = D1 (MetaData "Tannen" "Data.Bifunctor.Tannen" "bifunctors-5.4-21nQkpnOsL4LQMbVs5dXHA" True) (C1 (MetaCons "Tannen" PrefixI True) (S1 (MetaSel (Just Symbol "runTannen") NoSourceUnpackedness NoSourceStrictness DecidedLazy) ((:.:) f (Rec1 (p a)))))

type Rep (Tannen k k1 k2 f p a b)

type Rep (Tannen k k1 k2 f p a b) = D1 (MetaData "Tannen" "Data.Bifunctor.Tannen" "bifunctors-5.4-21nQkpnOsL4LQMbVs5dXHA" True) (C1 (MetaCons "Tannen" PrefixI True) (S1 (MetaSel (Just Symbol "runTannen") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f (p a b)))))