bifunctors-5.6.2: Bifunctors

Copyright | (C) 2008-2016 Edward Kmett
License | BSD-style (see the file LICENSE)
Maintainer | Edward Kmett <ekmett@gmail.com>
Stability | provisional
Portability | portable
Safe Haskell | Safe
Language | Haskell2010

Data.Bifunctor.Tannen

Description

Synopsis

- newtype Tannen (f :: k -> Type) (p :: k1 -> k2 -> k) (a :: k1) (b :: k2) = Tannen {
  - runTannen :: f (p a b)
  }

# Documentation

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

Compose a `Functor` on the outside of a `Bifunctor`.

Constructors

Tannen |
Fields runTannen :: f (p a b)

#### Instances

Instances details

Functor f => BifunctorFunctor (Tannen f :: (k2 -> k3 -> Type) -> k2 -> k3 -> Type) # |
Instance details Defined in Data.Bifunctor.Tannen Methods bifmap :: forall (p :: k2 -> k3 -> Type) (q :: k2 -> k3 -> Type). (p :-> q) -> Tannen f p :-> Tannen f q #
Comonad f => BifunctorComonad (Tannen f :: (k -> k1 -> Type) -> k -> k1 -> Type) # |
Instance details Defined in Data.Bifunctor.Tannen Methods biextract :: forall (p :: k -> k1 -> Type). Tannen f p :-> p # biextend :: forall (p :: k -> k1 -> Type) (q :: k -> k1 -> Type). (Tannen f p :-> q) -> Tannen f p :-> Tannen f q # biduplicate :: forall (p :: k -> k1 -> Type). Tannen f p :-> Tannen f (Tannen f p) #
(Functor f, Monad f) => BifunctorMonad (Tannen f :: (k -> k1 -> Type) -> k -> k1 -> Type) # |
Instance details Defined in Data.Bifunctor.Tannen Methods bireturn :: forall (p :: k -> k1 -> Type). p :-> Tannen f p # bibind :: forall (p :: k -> k1 -> Type) (q :: k -> k1 -> Type). (p :-> Tannen f q) -> Tannen f p :-> Tannen f q # bijoin :: forall (p :: k -> k1 -> Type). Tannen f (Tannen f p) :-> Tannen f p #
(Applicative f, Category p) => Category (Tannen f p :: k -> k -> Type) # |
Instance details Defined in Data.Bifunctor.Tannen Methods id :: forall (a :: k). Tannen f p a a # (.) :: forall (b :: k) (c :: k) (a :: k). Tannen f p b c -> Tannen f p a b -> Tannen f p a c #
Functor f => Generic1 (Tannen f p a :: k2 -> Type) # |
Instance details Defined in Data.Bifunctor.Tannen Associated Types
type Rep1 (Tannen f p a :: k1 -> Type) |
Instance details Defined in Data.Bifunctor.Tannen type Rep1 (Tannen f p a :: k1 -> Type) = D1 ('MetaData "Tannen" "Data.Bifunctor.Tannen" "bifunctors-5.6.2-BwJEHVBCec7K8po0blH047" 'True) (C1 ('MetaCons "Tannen" 'PrefixI 'True) (S1 ('MetaSel ('Just "runTannen") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 (p a))))
Methods from1 :: forall (a0 :: k2). Tannen f p a a0 -> Rep1 (Tannen f p a) a0 # to1 :: forall (a0 :: k2). Rep1 (Tannen f p a) a0 -> Tannen f p a a0 #
(Functor f, Swap p) => Swap (Tannen f p) # | Since: 5.6.1
Instance details Defined in Data.Bifunctor.Tannen Methods swap :: Tannen f p a b -> Tannen f p b a #
(Applicative f, Arrow p) => Arrow (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen 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, ArrowChoice p) => ArrowChoice (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen 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) # |
Instance details Defined in Data.Bifunctor.Tannen Methods loop :: Tannen f p (b, d) (c, d) -> Tannen f p b c #
(Applicative f, ArrowPlus p) => ArrowPlus (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen Methods (<+>) :: Tannen f p b c -> Tannen f p b c -> Tannen f p b c #
(Applicative f, ArrowZero p) => ArrowZero (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen Methods zeroArrow :: Tannen f p b c #
(Foldable f, Bifoldable p) => Bifoldable (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen 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 #
(Foldable1 f, Bifoldable1 p) => Bifoldable1 (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen Methods bifold1 :: Semigroup m => Tannen f p m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Tannen f p a b -> m #
(Functor f, Bifunctor p) => Bifunctor (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen 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 #
(Traversable f, Bitraversable p) => Bitraversable (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen Methods bitraverse :: Applicative f0 => (a -> f0 c) -> (b -> f0 d) -> Tannen f p a b -> f0 (Tannen f p c d) #
(Eq1 f, Eq2 p) => Eq2 (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen Methods liftEq2 :: (a -> b -> Bool) -> (c -> d -> Bool) -> Tannen f p a c -> Tannen f p b d -> Bool #
(Ord1 f, Ord2 p) => Ord2 (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen Methods liftCompare2 :: (a -> b -> Ordering) -> (c -> d -> Ordering) -> Tannen f p a c -> Tannen f p b d -> Ordering #
(Read1 f, Read2 p) => Read2 (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen Methods liftReadsPrec2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> Int -> ReadS (Tannen f p a b) # liftReadList2 :: (Int -> ReadS a) -> ReadS [a] -> (Int -> ReadS b) -> ReadS [b] -> ReadS [Tannen f p a b] # liftReadPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec (Tannen f p a b) # liftReadListPrec2 :: ReadPrec a -> ReadPrec [a] -> ReadPrec b -> ReadPrec [b] -> ReadPrec [Tannen f p a b] #
(Show1 f, Show2 p) => Show2 (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen Methods liftShowsPrec2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> Int -> Tannen f p a b -> ShowS # liftShowList2 :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> (Int -> b -> ShowS) -> ([b] -> ShowS) -> [Tannen f p a b] -> ShowS #
(Applicative f, Biapplicative p) => Biapplicative (Tannen f p) # |
Instance details Defined in Data.Bifunctor.Tannen 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 # biliftA2 :: (a -> b -> c) -> (d -> e -> f0) -> Tannen f p a d -> Tannen f p b e -> Tannen f p c f0 # (*>>) :: 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 #
(Foldable f, Bifoldable p) => Foldable (Tannen f p a) # |
Instance details Defined in Data.Bifunctor.Tannen Methods fold :: Monoid m => Tannen f p a m -> m # foldMap :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m # foldMap' :: Monoid m => (a0 -> m) -> Tannen f p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Tannen f p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Tannen f p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Tannen f p a a0 -> a0 # toList :: Tannen f p a a0 -> [a0] # null :: Tannen f p a a0 -> Bool # length :: Tannen f p a a0 -> Int # elem :: Eq a0 => a0 -> Tannen f p a a0 -> Bool # maximum :: Ord a0 => Tannen f p a a0 -> a0 # minimum :: Ord a0 => Tannen f p a a0 -> a0 # sum :: Num a0 => Tannen f p a a0 -> a0 # product :: Num a0 => Tannen f p a a0 -> a0 #
(Eq1 f, Eq2 p, Eq a) => Eq1 (Tannen f p a) # |
Instance details Defined in Data.Bifunctor.Tannen Methods liftEq :: (a0 -> b -> Bool) -> Tannen f p a a0 -> Tannen f p a b -> Bool #
(Ord1 f, Ord2 p, Ord a) => Ord1 (Tannen f p a) # |
Instance details Defined in Data.Bifunctor.Tannen Methods liftCompare :: (a0 -> b -> Ordering) -> Tannen f p a a0 -> Tannen f p a b -> Ordering #
(Read1 f, Read2 p, Read a) => Read1 (Tannen f p a) # |
Instance details Defined in Data.Bifunctor.Tannen Methods liftReadsPrec :: (Int -> ReadS a0) -> ReadS [a0] -> Int -> ReadS (Tannen f p a a0) # liftReadList :: (Int -> ReadS a0) -> ReadS [a0] -> ReadS [Tannen f p a a0] # liftReadPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec (Tannen f p a a0) # liftReadListPrec :: ReadPrec a0 -> ReadPrec [a0] -> ReadPrec [Tannen f p a a0] #
(Show1 f, Show2 p, Show a) => Show1 (Tannen f p a) # |
Instance details Defined in Data.Bifunctor.Tannen Methods liftShowsPrec :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> Int -> Tannen f p a a0 -> ShowS # liftShowList :: (Int -> a0 -> ShowS) -> ([a0] -> ShowS) -> [Tannen f p a a0] -> ShowS #
(Traversable f, Bitraversable p) => Traversable (Tannen f p a) # |
Instance details Defined in Data.Bifunctor.Tannen Methods traverse :: Applicative f0 => (a0 -> f0 b) -> Tannen f p a a0 -> f0 (Tannen f p a b) # sequenceA :: Applicative f0 => Tannen f p a (f0 a0) -> f0 (Tannen f p a a0) # mapM :: Monad m => (a0 -> m b) -> Tannen f p a a0 -> m (Tannen f p a b) # sequence :: Monad m => Tannen f p a (m a0) -> m (Tannen f p a a0) #
(Functor f, Bifunctor p) => Functor (Tannen f p a) # |
Instance details Defined in Data.Bifunctor.Tannen Methods fmap :: (a0 -> b) -> Tannen f p a a0 -> Tannen f p a b # (<$) :: a0 -> Tannen f p a b -> Tannen f p a a0 #
Generic (Tannen f p a b) # |
Instance details Defined in Data.Bifunctor.Tannen Associated Types
type Rep (Tannen f p a b) |
Instance details Defined in Data.Bifunctor.Tannen type Rep (Tannen f p a b) = D1 ('MetaData "Tannen" "Data.Bifunctor.Tannen" "bifunctors-5.6.2-BwJEHVBCec7K8po0blH047" 'True) (C1 ('MetaCons "Tannen" 'PrefixI 'True) (S1 ('MetaSel ('Just "runTannen") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f (p a b)))))
Methods from :: Tannen f p a b -> Rep (Tannen f p a b) x # to :: Rep (Tannen f p a b) x -> Tannen f p a b #
Read (f (p a b)) => Read (Tannen f p a b) # |
Instance details Defined in Data.Bifunctor.Tannen Methods readsPrec :: Int -> ReadS (Tannen f p a b) # readList :: ReadS [Tannen f p a b] # readPrec :: ReadPrec (Tannen f p a b) # readListPrec :: ReadPrec [Tannen f p a b] #
Show (f (p a b)) => Show (Tannen f p a b) # |
Instance details Defined in Data.Bifunctor.Tannen Methods showsPrec :: Int -> Tannen f p a b -> ShowS # show :: Tannen f p a b -> String # showList :: [Tannen f p a b] -> ShowS #
Eq (f (p a b)) => Eq (Tannen f p a b) # |
Instance details Defined in Data.Bifunctor.Tannen Methods (==) :: Tannen f p a b -> Tannen f p a b -> Bool # (/=) :: Tannen f p a b -> Tannen f p a b -> Bool #
Ord (f (p a b)) => Ord (Tannen f p a b) # |
Instance details Defined in Data.Bifunctor.Tannen Methods compare :: Tannen f p a b -> Tannen f p a b -> Ordering # (<) :: Tannen f p a b -> Tannen f p a b -> Bool # (<=) :: Tannen f p a b -> Tannen f p a b -> Bool # (>) :: Tannen f p a b -> Tannen f p a b -> Bool # (>=) :: Tannen f p a b -> Tannen f p a b -> Bool # max :: Tannen f p a b -> Tannen f p a b -> Tannen f p a b # min :: Tannen f p a b -> Tannen f p a b -> Tannen f p a b #
type Rep1 (Tannen f p a :: k1 -> Type) # |
Instance details Defined in Data.Bifunctor.Tannen type Rep1 (Tannen f p a :: k1 -> Type) = D1 ('MetaData "Tannen" "Data.Bifunctor.Tannen" "bifunctors-5.6.2-BwJEHVBCec7K8po0blH047" 'True) (C1 ('MetaCons "Tannen" 'PrefixI 'True) (S1 ('MetaSel ('Just "runTannen") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (f :.: Rec1 (p a))))
type Rep (Tannen f p a b) # |
Instance details Defined in Data.Bifunctor.Tannen type Rep (Tannen f p a b) = D1 ('MetaData "Tannen" "Data.Bifunctor.Tannen" "bifunctors-5.6.2-BwJEHVBCec7K8po0blH047" 'True) (C1 ('MetaCons "Tannen" 'PrefixI 'True) (S1 ('MetaSel ('Just "runTannen") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f (p a b)))))