semigroupoids-6: Semigroupoids: Category sans id
Copyright(C) 2011-2015 Edward Kmett
LicenseBSD-style (see the file LICENSE)
MaintainerEdward Kmett <ekmett@gmail.com>
Stabilityprovisional
Portabilityportable
Safe HaskellSafe
LanguageHaskell2010

Data.Semigroup.Traversable

Description

 
Synopsis

Documentation

class (Foldable1 t, Traversable t) => Traversable1 t where Source #

Minimal complete definition

traverse1 | sequence1

Methods

traverse1 :: Apply f => (a -> f b) -> t a -> f (t b) Source #

sequence1 :: Apply f => t (f b) -> f (t b) Source #

Instances

Instances details
Traversable1 Complex Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Complex a -> f (Complex b) Source #

sequence1 :: Apply f => Complex (f b) -> f (Complex b) Source #

Traversable1 Identity Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Identity a -> f (Identity b) Source #

sequence1 :: Apply f => Identity (f b) -> f (Identity b) Source #

Traversable1 First Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> First a -> f (First b) Source #

sequence1 :: Apply f => First (f b) -> f (First b) Source #

Traversable1 Last Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Last a -> f (Last b) Source #

sequence1 :: Apply f => Last (f b) -> f (Last b) Source #

Traversable1 Max Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Max a -> f (Max b) Source #

sequence1 :: Apply f => Max (f b) -> f (Max b) Source #

Traversable1 Min Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Min a -> f (Min b) Source #

sequence1 :: Apply f => Min (f b) -> f (Min b) Source #

Traversable1 Dual Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Dual a -> f (Dual b) Source #

sequence1 :: Apply f => Dual (f b) -> f (Dual b) Source #

Traversable1 Product Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Product a -> f (Product b) Source #

sequence1 :: Apply f => Product (f b) -> f (Product b) Source #

Traversable1 Sum Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Sum a -> f (Sum b) Source #

sequence1 :: Apply f => Sum (f b) -> f (Sum b) Source #

Traversable1 Par1 Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Par1 a -> f (Par1 b) Source #

sequence1 :: Apply f => Par1 (f b) -> f (Par1 b) Source #

Traversable1 Tree Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Tree a -> f (Tree b) Source #

sequence1 :: Apply f => Tree (f b) -> f (Tree b) Source #

Traversable1 NonEmpty Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> NonEmpty a -> f (NonEmpty b) Source #

sequence1 :: Apply f => NonEmpty (f b) -> f (NonEmpty b) Source #

Traversable1 (V1 :: TYPE LiftedRep -> Type) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> V1 a -> f (V1 b) Source #

sequence1 :: Apply f => V1 (f b) -> f (V1 b) Source #

Traversable1 f => Traversable1 (Lift f) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> Lift f a -> f0 (Lift f b) Source #

sequence1 :: Apply f0 => Lift f (f0 b) -> f0 (Lift f b) Source #

Traversable1 ((,) a) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a0 -> f b) -> (a, a0) -> f (a, b) Source #

sequence1 :: Apply f => (a, f b) -> f (a, b) Source #

Traversable1 f => Traversable1 (Alt f) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> Alt f a -> f0 (Alt f b) Source #

sequence1 :: Apply f0 => Alt f (f0 b) -> f0 (Alt f b) Source #

Traversable1 f => Traversable1 (Rec1 f) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> Rec1 f a -> f0 (Rec1 f b) Source #

sequence1 :: Apply f0 => Rec1 f (f0 b) -> f0 (Rec1 f b) Source #

Bitraversable1 p => Traversable1 (Join p) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a -> f b) -> Join p a -> f (Join p b) Source #

sequence1 :: Apply f => Join p (f b) -> f (Join p b) Source #

Traversable1 (Tagged a) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a0 -> f b) -> Tagged a a0 -> f (Tagged a b) Source #

sequence1 :: Apply f => Tagged a (f b) -> f (Tagged a b) Source #

Traversable1 f => Traversable1 (Backwards f) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> Backwards f a -> f0 (Backwards f b) Source #

sequence1 :: Apply f0 => Backwards f (f0 b) -> f0 (Backwards f b) Source #

Traversable1 f => Traversable1 (IdentityT f) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b) Source #

sequence1 :: Apply f0 => IdentityT f (f0 b) -> f0 (IdentityT f b) Source #

Traversable1 f => Traversable1 (Reverse f) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> Reverse f a -> f0 (Reverse f b) Source #

sequence1 :: Apply f0 => Reverse f (f0 b) -> f0 (Reverse f b) Source #

(Traversable1 f, Traversable1 g) => Traversable1 (Product f g) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> Product f g a -> f0 (Product f g b) Source #

sequence1 :: Apply f0 => Product f g (f0 b) -> f0 (Product f g b) Source #

(Traversable1 f, Traversable1 g) => Traversable1 (Sum f g) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> Sum f g a -> f0 (Sum f g b) Source #

sequence1 :: Apply f0 => Sum f g (f0 b) -> f0 (Sum f g b) Source #

(Traversable1 f, Traversable1 g) => Traversable1 (f :*: g) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> (f :*: g) a -> f0 ((f :*: g) b) Source #

sequence1 :: Apply f0 => (f :*: g) (f0 b) -> f0 ((f :*: g) b) Source #

(Traversable1 f, Traversable1 g) => Traversable1 (f :+: g) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> (f :+: g) a -> f0 ((f :+: g) b) Source #

sequence1 :: Apply f0 => (f :+: g) (f0 b) -> f0 ((f :+: g) b) Source #

(Traversable1 f, Traversable1 g) => Traversable1 (Compose f g) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> Compose f g a -> f0 (Compose f g b) Source #

sequence1 :: Apply f0 => Compose f g (f0 b) -> f0 (Compose f g b) Source #

(Traversable1 f, Traversable1 g) => Traversable1 (f :.: g) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> (f :.: g) a -> f0 ((f :.: g) b) Source #

sequence1 :: Apply f0 => (f :.: g) (f0 b) -> f0 ((f :.: g) b) Source #

Traversable1 f => Traversable1 (M1 i c f) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> M1 i c f a -> f0 (M1 i c f b) Source #

sequence1 :: Apply f0 => M1 i c f (f0 b) -> f0 (M1 i c f b) Source #

Traversable1 g => Traversable1 (Joker g a) Source # 
Instance details

Defined in Data.Semigroup.Traversable.Class

Methods

traverse1 :: Apply f => (a0 -> f b) -> Joker g a a0 -> f (Joker g a b) Source #

sequence1 :: Apply f => Joker g a (f b) -> f (Joker g a b) Source #

Defining Traversable1 instances

Defining Traversable1 instances for types with both Traversable1 and Traversable substructures can be done with traverse1Maybe, (<*.>), and (<.*>).

data Foo a = Foo (Maybe a) (Maybe a) a [a]
  deriving (Functor, Traversable, Foldable)
instance Traversable1 Foo where
  traverse1 f (Foo ma ma' a as) = Foo <$> traverseMaybe ma <*> traverseMaybe ma' <*.> f a <.*> traverseMaybe as
instance Foldable1 Foo where
  foldMap1 = foldMap1Default

traverse1Maybe :: (Traversable t, Apply f) => (a -> f b) -> t a -> MaybeApply f (t b) Source #

Traverse a Traversable using Apply, getting the results back in a MaybeApply.

gtraverse1 :: (Traversable1 (Rep1 t), Apply f, Generic1 t) => (a -> f b) -> t a -> f (t b) Source #

Generic traverse1. Caveats:

  1. Will not compile if t is an empty constructor.
  2. Will not compile if t has some fields that don't mention a, for exmaple data Bar a = MkBar a Int

Since: 5.3.8

gsequence1 :: (Traversable1 (Rep1 t), Apply f, Generic1 t) => t (f b) -> f (t b) Source #

Generic sequence1. Caveats are the same for gtraverse1.

Since: 5.3.8

Default superclass instance helpers

foldMap1Default :: (Traversable1 f, Semigroup m) => (a -> m) -> f a -> m Source #

Default implementation of foldMap1 given an implementation of Traversable1.