Data.Semigroup.Foldable

semigroupoids-6.0.0.1: Semigroupoids: Category sans id

Copyright | (C) 2011-2015 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.Semigroup.Foldable

Description

Re-exports a subset of the Data.Foldable1 module along with some additional combinators that require `Foldable1` constraints.

Synopsis

- class Foldable t => Foldable1 (t :: Type -> Type) where
  - fold1 :: Semigroup m => t m -> m
  - foldMap1 :: Semigroup m => (a -> m) -> t a -> m
  - toNonEmpty :: t a -> NonEmpty a
- intercalate1 :: (Foldable1 t, Semigroup m) => m -> t m -> m
- foldrM1 :: (Foldable1 t, Monad m) => (a -> a -> m a) -> t a -> m a
- foldlM1 :: (Foldable1 t, Monad m) => (a -> a -> m a) -> t a -> m a
- intercalateMap1 :: (Foldable1 t, Semigroup m) => m -> (a -> m) -> t a -> m
- traverse1_ :: (Foldable1 t, Apply f) => (a -> f b) -> t a -> f ()
- for1_ :: (Foldable1 t, Apply f) => t a -> (a -> f b) -> f ()
- sequenceA1_ :: (Foldable1 t, Apply f) => t (f a) -> f ()
- foldMapDefault1 :: (Foldable1 t, Monoid m) => (a -> m) -> t a -> m
- asum1 :: (Foldable1 t, Alt m) => t (m a) -> m a
- gfold1 :: (Foldable1 (Rep1 t), Generic1 t, Semigroup m) => t m -> m
- gfoldMap1 :: (Foldable1 (Rep1 t), Generic1 t, Semigroup m) => (a -> m) -> t a -> m
- gtoNonEmpty :: (Foldable1 (Rep1 t), Generic1 t) => t a -> NonEmpty a

# Documentation

class Foldable t => Foldable1 (t :: Type -> Type) where #

Minimal complete definition

foldMap1 | foldrMap1

Methods

fold1 :: Semigroup m => t m -> m #

foldMap1 :: Semigroup m => (a -> m) -> t a -> m #

toNonEmpty :: t a -> NonEmpty a #

#### Instances

Instances details

Foldable1 Complex |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Complex m -> m # foldMap1 :: Semigroup m => (a -> m) -> Complex a -> m # foldMap1' :: Semigroup m => (a -> m) -> Complex a -> m toNonEmpty :: Complex a -> NonEmpty a # maximum :: Ord a => Complex a -> a minimum :: Ord a => Complex a -> a head :: Complex a -> a last :: Complex a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Complex a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Complex a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Complex a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Complex a -> b
Foldable1 Identity |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Identity m -> m # foldMap1 :: Semigroup m => (a -> m) -> Identity a -> m # foldMap1' :: Semigroup m => (a -> m) -> Identity a -> m toNonEmpty :: Identity a -> NonEmpty a # maximum :: Ord a => Identity a -> a minimum :: Ord a => Identity a -> a head :: Identity a -> a last :: Identity a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Identity a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Identity a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Identity a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Identity a -> b
Foldable1 Down |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Down m -> m # foldMap1 :: Semigroup m => (a -> m) -> Down a -> m # foldMap1' :: Semigroup m => (a -> m) -> Down a -> m toNonEmpty :: Down a -> NonEmpty a # maximum :: Ord a => Down a -> a minimum :: Ord a => Down a -> a head :: Down a -> a last :: Down a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Down a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Down a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Down a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Down a -> b
Foldable1 First |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => First m -> m # foldMap1 :: Semigroup m => (a -> m) -> First a -> m # foldMap1' :: Semigroup m => (a -> m) -> First a -> m toNonEmpty :: First a -> NonEmpty a # maximum :: Ord a => First a -> a minimum :: Ord a => First a -> a head :: First a -> a last :: First a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> First a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> First a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> First a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> First a -> b
Foldable1 Last |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Last m -> m # foldMap1 :: Semigroup m => (a -> m) -> Last a -> m # foldMap1' :: Semigroup m => (a -> m) -> Last a -> m toNonEmpty :: Last a -> NonEmpty a # maximum :: Ord a => Last a -> a minimum :: Ord a => Last a -> a head :: Last a -> a last :: Last a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Last a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Last a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Last a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Last a -> b
Foldable1 Max |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Max m -> m # foldMap1 :: Semigroup m => (a -> m) -> Max a -> m # foldMap1' :: Semigroup m => (a -> m) -> Max a -> m toNonEmpty :: Max a -> NonEmpty a # maximum :: Ord a => Max a -> a minimum :: Ord a => Max a -> a head :: Max a -> a last :: Max a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Max a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Max a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Max a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Max a -> b
Foldable1 Min |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Min m -> m # foldMap1 :: Semigroup m => (a -> m) -> Min a -> m # foldMap1' :: Semigroup m => (a -> m) -> Min a -> m toNonEmpty :: Min a -> NonEmpty a # maximum :: Ord a => Min a -> a minimum :: Ord a => Min a -> a head :: Min a -> a last :: Min a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Min a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Min a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Min a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Min a -> b
Foldable1 Dual |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Dual m -> m # foldMap1 :: Semigroup m => (a -> m) -> Dual a -> m # foldMap1' :: Semigroup m => (a -> m) -> Dual a -> m toNonEmpty :: Dual a -> NonEmpty a # maximum :: Ord a => Dual a -> a minimum :: Ord a => Dual a -> a head :: Dual a -> a last :: Dual a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Dual a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Dual a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Dual a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Dual a -> b
Foldable1 Product |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Product m -> m # foldMap1 :: Semigroup m => (a -> m) -> Product a -> m # foldMap1' :: Semigroup m => (a -> m) -> Product a -> m toNonEmpty :: Product a -> NonEmpty a # maximum :: Ord a => Product a -> a minimum :: Ord a => Product a -> a head :: Product a -> a last :: Product a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Product a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Product a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Product a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Product a -> b
Foldable1 Sum |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Sum m -> m # foldMap1 :: Semigroup m => (a -> m) -> Sum a -> m # foldMap1' :: Semigroup m => (a -> m) -> Sum a -> m toNonEmpty :: Sum a -> NonEmpty a # maximum :: Ord a => Sum a -> a minimum :: Ord a => Sum a -> a head :: Sum a -> a last :: Sum a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Sum a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Sum a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Sum a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Sum a -> b
Foldable1 NonEmpty |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => NonEmpty m -> m # foldMap1 :: Semigroup m => (a -> m) -> NonEmpty a -> m # foldMap1' :: Semigroup m => (a -> m) -> NonEmpty a -> m toNonEmpty :: NonEmpty a -> NonEmpty a # maximum :: Ord a => NonEmpty a -> a minimum :: Ord a => NonEmpty a -> a head :: NonEmpty a -> a last :: NonEmpty a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> NonEmpty a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> NonEmpty a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> NonEmpty a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> NonEmpty a -> b
Foldable1 Par1 |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Par1 m -> m # foldMap1 :: Semigroup m => (a -> m) -> Par1 a -> m # foldMap1' :: Semigroup m => (a -> m) -> Par1 a -> m toNonEmpty :: Par1 a -> NonEmpty a # maximum :: Ord a => Par1 a -> a minimum :: Ord a => Par1 a -> a head :: Par1 a -> a last :: Par1 a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Par1 a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Par1 a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Par1 a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Par1 a -> b
Foldable1 Tree |
Instance details Defined in Data.Tree Methods fold1 :: Semigroup m => Tree m -> m # foldMap1 :: Semigroup m => (a -> m) -> Tree a -> m # foldMap1' :: Semigroup m => (a -> m) -> Tree a -> m toNonEmpty :: Tree a -> NonEmpty a # maximum :: Ord a => Tree a -> a minimum :: Ord a => Tree a -> a head :: Tree a -> a last :: Tree a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Tree a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Tree a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Tree a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Tree a -> b
Foldable1 Solo |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Solo m -> m # foldMap1 :: Semigroup m => (a -> m) -> Solo a -> m # foldMap1' :: Semigroup m => (a -> m) -> Solo a -> m toNonEmpty :: Solo a -> NonEmpty a # maximum :: Ord a => Solo a -> a minimum :: Ord a => Solo a -> a head :: Solo a -> a last :: Solo a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Solo a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Solo a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Solo a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Solo a -> b
Foldable1 (V1 :: Type -> Type) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => V1 m -> m # foldMap1 :: Semigroup m => (a -> m) -> V1 a -> m # foldMap1' :: Semigroup m => (a -> m) -> V1 a -> m toNonEmpty :: V1 a -> NonEmpty a # maximum :: Ord a => V1 a -> a minimum :: Ord a => V1 a -> a head :: V1 a -> a last :: V1 a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> V1 a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> V1 a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> V1 a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> V1 a -> b
Foldable1 f => Foldable1 (Lift f) |
Instance details Defined in Control.Applicative.Lift Methods fold1 :: Semigroup m => Lift f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Lift f a -> m # foldMap1' :: Semigroup m => (a -> m) -> Lift f a -> m toNonEmpty :: Lift f a -> NonEmpty a # maximum :: Ord a => Lift f a -> a minimum :: Ord a => Lift f a -> a head :: Lift f a -> a last :: Lift f a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Lift f a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Lift f a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Lift f a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Lift f a -> b
Foldable1 ((,) a) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => (a, m) -> m # foldMap1 :: Semigroup m => (a0 -> m) -> (a, a0) -> m # foldMap1' :: Semigroup m => (a0 -> m) -> (a, a0) -> m toNonEmpty :: (a, a0) -> NonEmpty a0 # maximum :: Ord a0 => (a, a0) -> a0 minimum :: Ord a0 => (a, a0) -> a0 head :: (a, a0) -> a0 last :: (a, a0) -> a0 foldrMap1 :: (a0 -> b) -> (a0 -> b -> b) -> (a, a0) -> b foldlMap1' :: (a0 -> b) -> (b -> a0 -> b) -> (a, a0) -> b foldlMap1 :: (a0 -> b) -> (b -> a0 -> b) -> (a, a0) -> b foldrMap1' :: (a0 -> b) -> (a0 -> b -> b) -> (a, a0) -> b
Foldable1 f => Foldable1 (Ap f) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Ap f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Ap f a -> m # foldMap1' :: Semigroup m => (a -> m) -> Ap f a -> m toNonEmpty :: Ap f a -> NonEmpty a # maximum :: Ord a => Ap f a -> a minimum :: Ord a => Ap f a -> a head :: Ap f a -> a last :: Ap f a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Ap f a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Ap f a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Ap f a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Ap f a -> b
Foldable1 f => Foldable1 (Alt f) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Alt f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Alt f a -> m # foldMap1' :: Semigroup m => (a -> m) -> Alt f a -> m toNonEmpty :: Alt f a -> NonEmpty a # maximum :: Ord a => Alt f a -> a minimum :: Ord a => Alt f a -> a head :: Alt f a -> a last :: Alt f a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Alt f a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Alt f a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Alt f a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Alt f a -> b
Foldable1 f => Foldable1 (Rec1 f) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Rec1 f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Rec1 f a -> m # foldMap1' :: Semigroup m => (a -> m) -> Rec1 f a -> m toNonEmpty :: Rec1 f a -> NonEmpty a # maximum :: Ord a => Rec1 f a -> a minimum :: Ord a => Rec1 f a -> a head :: Rec1 f a -> a last :: Rec1 f a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Rec1 f a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Rec1 f a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Rec1 f a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Rec1 f a -> b
Bifoldable1 p => Foldable1 (Join p) |
Instance details Defined in Data.Bifunctor.Join Methods fold1 :: Semigroup m => Join p m -> m # foldMap1 :: Semigroup m => (a -> m) -> Join p a -> m # foldMap1' :: Semigroup m => (a -> m) -> Join p a -> m toNonEmpty :: Join p a -> NonEmpty a # maximum :: Ord a => Join p a -> a minimum :: Ord a => Join p a -> a head :: Join p a -> a last :: Join p a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Join p a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Join p a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Join p a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Join p a -> b
Foldable1 (Tagged a) |
Instance details Defined in Data.Tagged Methods fold1 :: Semigroup m => Tagged a m -> m # foldMap1 :: Semigroup m => (a0 -> m) -> Tagged a a0 -> m # foldMap1' :: Semigroup m => (a0 -> m) -> Tagged a a0 -> m toNonEmpty :: Tagged a a0 -> NonEmpty a0 # maximum :: Ord a0 => Tagged a a0 -> a0 minimum :: Ord a0 => Tagged a a0 -> a0 head :: Tagged a a0 -> a0 last :: Tagged a a0 -> a0 foldrMap1 :: (a0 -> b) -> (a0 -> b -> b) -> Tagged a a0 -> b foldlMap1' :: (a0 -> b) -> (b -> a0 -> b) -> Tagged a a0 -> b foldlMap1 :: (a0 -> b) -> (b -> a0 -> b) -> Tagged a a0 -> b foldrMap1' :: (a0 -> b) -> (a0 -> b -> b) -> Tagged a a0 -> b
Foldable1 f => Foldable1 (Backwards f) |
Instance details Defined in Control.Applicative.Backwards Methods fold1 :: Semigroup m => Backwards f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Backwards f a -> m # foldMap1' :: Semigroup m => (a -> m) -> Backwards f a -> m toNonEmpty :: Backwards f a -> NonEmpty a # maximum :: Ord a => Backwards f a -> a minimum :: Ord a => Backwards f a -> a head :: Backwards f a -> a last :: Backwards f a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Backwards f a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Backwards f a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Backwards f a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Backwards f a -> b
Foldable1 m => Foldable1 (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods fold1 :: Semigroup m0 => IdentityT m m0 -> m0 # foldMap1 :: Semigroup m0 => (a -> m0) -> IdentityT m a -> m0 # foldMap1' :: Semigroup m0 => (a -> m0) -> IdentityT m a -> m0 toNonEmpty :: IdentityT m a -> NonEmpty a # maximum :: Ord a => IdentityT m a -> a minimum :: Ord a => IdentityT m a -> a head :: IdentityT m a -> a last :: IdentityT m a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> IdentityT m a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> IdentityT m a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> IdentityT m a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> IdentityT m a -> b
Foldable1 f => Foldable1 (Reverse f) |
Instance details Defined in Data.Functor.Reverse Methods fold1 :: Semigroup m => Reverse f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Reverse f a -> m # foldMap1' :: Semigroup m => (a -> m) -> Reverse f a -> m toNonEmpty :: Reverse f a -> NonEmpty a # maximum :: Ord a => Reverse f a -> a minimum :: Ord a => Reverse f a -> a head :: Reverse f a -> a last :: Reverse f a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Reverse f a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Reverse f a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Reverse f a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Reverse f a -> b
(Foldable1 f, Foldable1 g) => Foldable1 (Product f g) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Product f g m -> m # foldMap1 :: Semigroup m => (a -> m) -> Product f g a -> m # foldMap1' :: Semigroup m => (a -> m) -> Product f g a -> m toNonEmpty :: Product f g a -> NonEmpty a # maximum :: Ord a => Product f g a -> a minimum :: Ord a => Product f g a -> a head :: Product f g a -> a last :: Product f g a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Product f g a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Product f g a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Product f g a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Product f g a -> b
(Foldable1 f, Foldable1 g) => Foldable1 (Sum f g) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Sum f g m -> m # foldMap1 :: Semigroup m => (a -> m) -> Sum f g a -> m # foldMap1' :: Semigroup m => (a -> m) -> Sum f g a -> m toNonEmpty :: Sum f g a -> NonEmpty a # maximum :: Ord a => Sum f g a -> a minimum :: Ord a => Sum f g a -> a head :: Sum f g a -> a last :: Sum f g a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Sum f g a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Sum f g a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Sum f g a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Sum f g a -> b
(Foldable1 f, Foldable1 g) => Foldable1 (f :*: g) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => (f :*: g) m -> m # foldMap1 :: Semigroup m => (a -> m) -> (f :*: g) a -> m # foldMap1' :: Semigroup m => (a -> m) -> (f :*: g) a -> m toNonEmpty :: (f :*: g) a -> NonEmpty a # maximum :: Ord a => (f :*: g) a -> a minimum :: Ord a => (f :*: g) a -> a head :: (f :*: g) a -> a last :: (f :*: g) a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> (f :*: g) a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> (f :*: g) a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> (f :*: g) a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> (f :*: g) a -> b
(Foldable1 f, Foldable1 g) => Foldable1 (f :+: g) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => (f :+: g) m -> m # foldMap1 :: Semigroup m => (a -> m) -> (f :+: g) a -> m # foldMap1' :: Semigroup m => (a -> m) -> (f :+: g) a -> m toNonEmpty :: (f :+: g) a -> NonEmpty a # maximum :: Ord a => (f :+: g) a -> a minimum :: Ord a => (f :+: g) a -> a head :: (f :+: g) a -> a last :: (f :+: g) a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> (f :+: g) a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> (f :+: g) a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> (f :+: g) a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> (f :+: g) a -> b
(Foldable1 f, Foldable1 g) => Foldable1 (Compose f g) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => Compose f g m -> m # foldMap1 :: Semigroup m => (a -> m) -> Compose f g a -> m # foldMap1' :: Semigroup m => (a -> m) -> Compose f g a -> m toNonEmpty :: Compose f g a -> NonEmpty a # maximum :: Ord a => Compose f g a -> a minimum :: Ord a => Compose f g a -> a head :: Compose f g a -> a last :: Compose f g a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> Compose f g a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> Compose f g a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> Compose f g a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> Compose f g a -> b
(Foldable1 f, Foldable1 g) => Foldable1 (f :.: g) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => (f :.: g) m -> m # foldMap1 :: Semigroup m => (a -> m) -> (f :.: g) a -> m # foldMap1' :: Semigroup m => (a -> m) -> (f :.: g) a -> m toNonEmpty :: (f :.: g) a -> NonEmpty a # maximum :: Ord a => (f :.: g) a -> a minimum :: Ord a => (f :.: g) a -> a head :: (f :.: g) a -> a last :: (f :.: g) a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> (f :.: g) a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> (f :.: g) a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> (f :.: g) a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> (f :.: g) a -> b
Foldable1 f => Foldable1 (M1 i c f) |
Instance details Defined in Data.Foldable1 Methods fold1 :: Semigroup m => M1 i c f m -> m # foldMap1 :: Semigroup m => (a -> m) -> M1 i c f a -> m # foldMap1' :: Semigroup m => (a -> m) -> M1 i c f a -> m toNonEmpty :: M1 i c f a -> NonEmpty a # maximum :: Ord a => M1 i c f a -> a minimum :: Ord a => M1 i c f a -> a head :: M1 i c f a -> a last :: M1 i c f a -> a foldrMap1 :: (a -> b) -> (a -> b -> b) -> M1 i c f a -> b foldlMap1' :: (a -> b) -> (b -> a -> b) -> M1 i c f a -> b foldlMap1 :: (a -> b) -> (b -> a -> b) -> M1 i c f a -> b foldrMap1' :: (a -> b) -> (a -> b -> b) -> M1 i c f a -> b
Foldable1 g => Foldable1 (Joker g a) |
Instance details Defined in Data.Bifunctor.Joker Methods fold1 :: Semigroup m => Joker g a m -> m # foldMap1 :: Semigroup m => (a0 -> m) -> Joker g a a0 -> m # foldMap1' :: Semigroup m => (a0 -> m) -> Joker g a a0 -> m toNonEmpty :: Joker g a a0 -> NonEmpty a0 # maximum :: Ord a0 => Joker g a a0 -> a0 minimum :: Ord a0 => Joker g a a0 -> a0 head :: Joker g a a0 -> a0 last :: Joker g a a0 -> a0 foldrMap1 :: (a0 -> b) -> (a0 -> b -> b) -> Joker g a a0 -> b foldlMap1' :: (a0 -> b) -> (b -> a0 -> b) -> Joker g a a0 -> b foldlMap1 :: (a0 -> b) -> (b -> a0 -> b) -> Joker g a a0 -> b foldrMap1' :: (a0 -> b) -> (a0 -> b -> b) -> Joker g a a0 -> b

intercalate1 :: (Foldable1 t, Semigroup m) => m -> t m -> m #

foldrM1 :: (Foldable1 t, Monad m) => (a -> a -> m a) -> t a -> m a #

foldlM1 :: (Foldable1 t, Monad m) => (a -> a -> m a) -> t a -> m a #

intercalateMap1 :: (Foldable1 t, Semigroup m) => m -> (a -> m) -> t a -> m #

Insert `m` between each pair of `m` derived from `a`.

    >>> intercalateMap1 " " show $ True :| [False, True]
    "True False True"

    >>> intercalateMap1 " " show $ True :| []
    "True"

traverse1_ :: (Foldable1 t, Apply f) => (a -> f b) -> t a -> f () #

for1_ :: (Foldable1 t, Apply f) => t a -> (a -> f b) -> f () #

sequenceA1_ :: (Foldable1 t, Apply f) => t (f a) -> f () #

foldMapDefault1 :: (Foldable1 t, Monoid m) => (a -> m) -> t a -> m #

Usable default for foldMap, but only if you define foldMap1 yourself

asum1 :: (Foldable1 t, Alt m) => t (m a) -> m a #

gfold1 :: (Foldable1 (Rep1 t), Generic1 t, Semigroup m) => t m -> m #

Generic `fold1`. 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

gfoldMap1 :: (Foldable1 (Rep1 t), Generic1 t, Semigroup m) => (a -> m) -> t a -> m #

Generic `foldMap1`. Caveats are the same as for `gfold1`.

Since: 5.3.8

gtoNonEmpty :: (Foldable1 (Rep1 t), Generic1 t) => t a -> NonEmpty a #

Generic `toNonEmpty`. Caveats are the same as for `gfold1`.

Since: 5.3.8