Data.Semigroup.Foldable

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

Documentation

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

Non-empty data structures that can be folded.

Minimal complete definition

foldMap1 | foldrMap1

Methods

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

Combine the elements of a structure using a semigroup.

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

Map each element of the structure to a semigroup, and combine the results.

>>> foldMap1 Sum (1 :| [2, 3, 4])
Sum {getSum = 10}

toNonEmpty :: t a -> NonEmpty a

List of elements of a structure, from left to right.

>>> toNonEmpty (Identity 2)
2 :| []

Instances

Foldable1 Complex

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

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

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

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

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

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

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

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

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

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 Par1

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

Defined in Data.Foldable1

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 NonEmpty

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 Solo

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 LiftedRep -> Type)

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)

Defined in Data.Foldable1

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)

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)

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)

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)

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)

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 b)

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => Tagged b m -> m

foldMap1 :: Semigroup m => (a -> m) -> Tagged b a -> m

foldMap1' :: Semigroup m => (a -> m) -> Tagged b a -> m

toNonEmpty :: Tagged b a -> NonEmpty a

maximum :: Ord a => Tagged b a -> a

minimum :: Ord a => Tagged b a -> a

head :: Tagged b a -> a

last :: Tagged b a -> a

foldrMap1 :: (a -> b0) -> (a -> b0 -> b0) -> Tagged b a -> b0

foldlMap1' :: (a -> b0) -> (b0 -> a -> b0) -> Tagged b a -> b0

foldlMap1 :: (a -> b0) -> (b0 -> a -> b0) -> Tagged b a -> b0

foldrMap1' :: (a -> b0) -> (a -> b0 -> b0) -> Tagged b a -> b0

Foldable1 f => Foldable1 (Backwards f)

Defined in Data.Foldable1

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 f => Foldable1 (IdentityT f)

Defined in Data.Foldable1

Methods

fold1 :: Semigroup m => IdentityT f m -> m

foldMap1 :: Semigroup m => (a -> m) -> IdentityT f a -> m

foldMap1' :: Semigroup m => (a -> m) -> IdentityT f a -> m

toNonEmpty :: IdentityT f a -> NonEmpty a

maximum :: Ord a => IdentityT f a -> a

minimum :: Ord a => IdentityT f a -> a

head :: IdentityT f a -> a

last :: IdentityT f a -> a

foldrMap1 :: (a -> b) -> (a -> b -> b) -> IdentityT f a -> b

foldlMap1' :: (a -> b) -> (b -> a -> b) -> IdentityT f a -> b

foldlMap1 :: (a -> b) -> (b -> a -> b) -> IdentityT f a -> b

foldrMap1' :: (a -> b) -> (a -> b -> b) -> IdentityT f a -> b

Foldable1 f => Foldable1 (Reverse f)

Defined in Data.Foldable1

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)

It would be enough for either half of a product to be Foldable1. Other could be Foldable.

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)

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)

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)

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)

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)

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)

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)

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

Insert an m between each pair of t m.

>>> intercalate1 ", " $ "hello" :| ["how", "are", "you"]
"hello, how, are, you"

>>> intercalate1 ", " $ "hello" :| []
"hello"

>>> intercalate1 mempty $ "I" :| ["Am", "Fine", "You?"]
"IAmFineYou?"

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

Monadic fold over the elements of a non-empty structure, associating to the right, i.e. from right to left.

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

Monadic fold over the elements of a non-empty structure, associating to the left, i.e. from left to right.

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