bifunctors-5.5: Bifunctors

Copyright(C) 2008-2016 Edward Kmett
LicenseBSD-style (see the file LICENSE)
MaintainerEdward Kmett <ekmett@gmail.com>
Stabilityprovisional
Portabilityportable
Safe HaskellSafe
LanguageHaskell98

Data.Bifunctor.Tannen

Description

 

Synopsis

Documentation

newtype Tannen f p a b Source #

Compose a Functor on the outside of a Bifunctor.

Constructors

Tannen 

Fields

Instances

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

Methods

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

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

Methods

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

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

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

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

Methods

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

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

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

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

Methods

id :: cat a a #

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

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

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) Source # 

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) Source # 

Methods

zeroArrow :: Tannen * * * f p b c #

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

Methods

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

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

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) Source # 

Methods

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

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

Methods

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

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

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

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

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

Methods

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

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

Methods

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

(<<*>>) :: 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 #

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

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) Source # 

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) Source # 

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) Source # 

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 k2 k1 k f p a b) Source # 

Methods

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

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

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

Methods

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

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

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

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

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

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

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

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

Methods

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

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

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

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

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

Methods

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

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

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

Generic (Tannen k2 k1 k f p a b) Source # 

Associated Types

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

Methods

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

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

type Rep1 (Tannen * k * f p a) Source # 
type Rep1 (Tannen * k * f p a) = D1 (MetaData "Tannen" "Data.Bifunctor.Tannen" "bifunctors-5.5-32pcfa06LpVCOUG1IJODTZ" True) (C1 (MetaCons "Tannen" PrefixI True) (S1 (MetaSel (Just Symbol "runTannen") NoSourceUnpackedness NoSourceStrictness DecidedLazy) ((:.:) f (Rec1 (p a)))))
type Rep (Tannen k2 k1 k f p a b) Source # 
type Rep (Tannen k2 k1 k f p a b) = D1 (MetaData "Tannen" "Data.Bifunctor.Tannen" "bifunctors-5.5-32pcfa06LpVCOUG1IJODTZ" True) (C1 (MetaCons "Tannen" PrefixI True) (S1 (MetaSel (Just Symbol "runTannen") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 (f (p a b)))))