Safe Haskell	Safe
Language	Haskell2010

Foldable

Contents

Foldable
Foldable1
Bifoldable
Bifoldable1

Synopsis

class Foldable (t :: * -> *) where
all :: Foldable t => (a -> Bool) -> t a -> Bool
and :: Foldable t => t Bool -> Bool
any :: Foldable t => (a -> Bool) -> t a -> Bool
asum :: (Foldable t, Alternative f) => t (f a) -> f a
concatMap :: Foldable t => (a -> [b]) -> t a -> [b]
find :: Foldable t => (a -> Bool) -> t a -> Maybe a
foldBy :: Foldable t => (a -> a -> a) -> a -> t a -> a
foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m ()
foldMapBy :: Foldable t => (r -> r -> r) -> r -> (a -> r) -> t a -> r
foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b
foldr1May :: Foldable t => (a -> a -> a) -> t a -> Maybe a
foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b
for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f ()
group :: (Foldable f, Eq a) => f a -> [NonEmpty a]
groupAllWith :: Ord b => (a -> b) -> [a] -> [NonEmpty a]
groupBy :: Foldable f => (a -> a -> Bool) -> f a -> [NonEmpty a]
groupWith :: (Foldable f, Eq b) => (a -> b) -> f a -> [NonEmpty a]
inits :: Foldable f => f a -> NonEmpty [a]
insert :: (Foldable f, Ord a) => a -> f a -> NonEmpty a
maximumByMay :: Foldable t => (a -> a -> Ordering) -> t a -> Maybe a
maximumMay :: (Foldable t, Ord a) => t a -> Maybe a
minimumByMay :: Foldable t => (a -> a -> Ordering) -> t a -> Maybe a
minimumMay :: (Foldable t, Ord a) => t a -> Maybe a
msum :: (Foldable t, MonadPlus m) => t (m a) -> m a
notElem :: (Foldable t, Eq a) => a -> t a -> Bool
or :: Foldable t => t Bool -> Bool
sequenceA_ :: (Foldable t, Applicative f) => t (f a) -> f ()
tails :: Foldable f => f a -> NonEmpty [a]
traverse_ :: (Foldable t, Applicative f) => (a -> f b) -> t a -> f ()
class Foldable t => Foldable1 (t :: * -> *) where
asum1 :: (Foldable1 t, Alt m) => t (m a) -> m a
foldlM1 :: (Foldable1 t, Monad m) => (a -> a -> m a) -> t a -> m a
foldrM1 :: (Foldable1 t, Monad m) => (a -> a -> m a) -> t a -> m a
for1_ :: (Foldable1 t, Apply f) => t a -> (a -> f b) -> f ()
intercalate1 :: (Foldable1 t, Semigroup m) => m -> t m -> m
intercalateMap1 :: (Foldable1 t, Semigroup m) => m -> (a -> m) -> t a -> m
sequenceA1_ :: (Foldable1 t, Apply f) => t (f a) -> f ()
traverse1_ :: (Foldable1 t, Apply f) => (a -> f b) -> t a -> f ()
class Bifoldable (p :: * -> * -> *) where
bifoldr' :: Bifoldable t => (a -> c -> c) -> (b -> c -> c) -> c -> t a b -> c
bifoldrM :: (Bifoldable t, Monad m) => (a -> c -> m c) -> (b -> c -> m c) -> c -> t a b -> m c
bifoldl' :: Bifoldable t => (a -> b -> a) -> (a -> c -> a) -> a -> t b c -> a
bifoldlM :: (Bifoldable t, Monad m) => (a -> b -> m a) -> (a -> c -> m a) -> a -> t b c -> m a
bitraverse_ :: (Bifoldable t, Applicative f) => (a -> f c) -> (b -> f d) -> t a b -> f ()
bifor_ :: (Bifoldable t, Applicative f) => t a b -> (a -> f c) -> (b -> f d) -> f ()
bisequence_ :: (Bifoldable t, Applicative f) => t (f a) (f b) -> f ()
biasum :: (Bifoldable t, Alternative f) => t (f a) (f a) -> f a
biList :: Bifoldable t => t a a -> [a]
binull :: Bifoldable t => t a b -> Bool
bilength :: Bifoldable t => t a b -> Int
bielem :: (Bifoldable t, Eq a) => a -> t a a -> Bool
bisum :: (Bifoldable t, Num a) => t a a -> a
biproduct :: (Bifoldable t, Num a) => t a a -> a
biconcatMap :: Bifoldable t => (a -> [c]) -> (b -> [c]) -> t a b -> [c]
biand :: Bifoldable t => t Bool Bool -> Bool
bior :: Bifoldable t => t Bool Bool -> Bool
biany :: Bifoldable t => (a -> Bool) -> (b -> Bool) -> t a b -> Bool
biall :: Bifoldable t => (a -> Bool) -> (b -> Bool) -> t a b -> Bool
binotElem :: (Bifoldable t, Eq a) => a -> t a a -> Bool
bifind :: Bifoldable t => (a -> Bool) -> t a a -> Maybe a
class Bifoldable t => Bifoldable1 (t :: * -> * -> *) where
bitraverse1_ :: (Bifoldable1 t, Apply f) => (a -> f b) -> (c -> f d) -> t a c -> f ()
bifor1_ :: (Bifoldable1 t, Apply f) => t a c -> (a -> f b) -> (c -> f d) -> f ()
bisequenceA1_ :: (Bifoldable1 t, Apply f) => t (f a) (f b) -> f ()

Foldable

class Foldable (t :: * -> *) where #

Data structures that can be folded.

For example, given a data type

data Tree a = Empty | Leaf a | Node (Tree a) a (Tree a)

a suitable instance would be

instance Foldable Tree where
   foldMap f Empty = mempty
   foldMap f (Leaf x) = f x
   foldMap f (Node l k r) = foldMap f l `mappend` f k `mappend` foldMap f r

This is suitable even for abstract types, as the monoid is assumed to satisfy the monoid laws. Alternatively, one could define foldr:

instance Foldable Tree where
   foldr f z Empty = z
   foldr f z (Leaf x) = f x z
   foldr f z (Node l k r) = foldr f (f k (foldr f z r)) l

Foldable instances are expected to satisfy the following laws:

foldr f z t = appEndo (foldMap (Endo . f) t ) z

foldl f z t = appEndo (getDual (foldMap (Dual . Endo . flip f) t)) z

fold = foldMap id

length = getSum . foldMap (Sum . const  1)

sum, product, maximum, and minimum should all be essentially equivalent to foldMap forms, such as

sum = getSum . foldMap Sum

but may be less defined.

If the type is also a Functor instance, it should satisfy

foldMap f = fold . fmap f

which implies that

foldMap f . fmap g = foldMap (f . g)

Minimal complete definition

foldMap | foldr

Methods

fold :: Monoid m => t m -> m #

Combine the elements of a structure using a monoid.

foldMap :: Monoid m => (a -> m) -> t a -> m #

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

foldr :: (a -> b -> b) -> b -> t a -> b #

Right-associative fold of a structure.

In the case of lists, foldr, when applied to a binary operator, a starting value (typically the right-identity of the operator), and a list, reduces the list using the binary operator, from right to left:

foldr f z [x1, x2, ..., xn] == x1 `f` (x2 `f` ... (xn `f` z)...)

Note that, since the head of the resulting expression is produced by an application of the operator to the first element of the list, foldr can produce a terminating expression from an infinite list.

For a general Foldable structure this should be semantically identical to,

foldr f z = foldr f z . toList

foldr' :: (a -> b -> b) -> b -> t a -> b #

Right-associative fold of a structure, but with strict application of the operator.

foldl' :: (b -> a -> b) -> b -> t a -> b #

Left-associative fold of a structure but with strict application of the operator.

This ensures that each step of the fold is forced to weak head normal form before being applied, avoiding the collection of thunks that would otherwise occur. This is often what you want to strictly reduce a finite list to a single, monolithic result (e.g. length).

For a general Foldable structure this should be semantically identical to,

foldl f z = foldl' f z . toList

toList :: t a -> [a] #

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

null :: t a -> Bool #

Test whether the structure is empty. The default implementation is optimized for structures that are similar to cons-lists, because there is no general way to do better.

length :: t a -> Int #

Returns the size/length of a finite structure as an Int. The default implementation is optimized for structures that are similar to cons-lists, because there is no general way to do better.

elem :: Eq a => a -> t a -> Bool infix 4 #

Does the element occur in the structure?

sum :: Num a => t a -> a #

The sum function computes the sum of the numbers of a structure.

product :: Num a => t a -> a #

The product function computes the product of the numbers of a structure.

Instances

Foldable []	Since: base-2.1
Instance details Defined in Data.Foldable Methods fold :: Monoid m => [m] -> m # foldMap :: Monoid m => (a -> m) -> [a] -> m # foldr :: (a -> b -> b) -> b -> [a] -> b # foldr' :: (a -> b -> b) -> b -> [a] -> b # foldl :: (b -> a -> b) -> b -> [a] -> b # foldl' :: (b -> a -> b) -> b -> [a] -> b # foldr1 :: (a -> a -> a) -> [a] -> a # foldl1 :: (a -> a -> a) -> [a] -> a # toList :: [a] -> [a] # null :: [a] -> Bool # length :: [a] -> Int # elem :: Eq a => a -> [a] -> Bool # maximum :: Ord a => [a] -> a # minimum :: Ord a => [a] -> a # sum :: Num a => [a] -> a # product :: Num a => [a] -> a #
Foldable Maybe	Since: base-2.1
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Maybe m -> m # foldMap :: Monoid m => (a -> m) -> Maybe a -> m # foldr :: (a -> b -> b) -> b -> Maybe a -> b # foldr' :: (a -> b -> b) -> b -> Maybe a -> b # foldl :: (b -> a -> b) -> b -> Maybe a -> b # foldl' :: (b -> a -> b) -> b -> Maybe a -> b # foldr1 :: (a -> a -> a) -> Maybe a -> a # foldl1 :: (a -> a -> a) -> Maybe a -> a # toList :: Maybe a -> [a] # null :: Maybe a -> Bool # length :: Maybe a -> Int # elem :: Eq a => a -> Maybe a -> Bool # maximum :: Ord a => Maybe a -> a # minimum :: Ord a => Maybe a -> a # sum :: Num a => Maybe a -> a # product :: Num a => Maybe a -> a #
Foldable Par1
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Par1 m -> m # foldMap :: Monoid m => (a -> m) -> Par1 a -> m # foldr :: (a -> b -> b) -> b -> Par1 a -> b # foldr' :: (a -> b -> b) -> b -> Par1 a -> b # foldl :: (b -> a -> b) -> b -> Par1 a -> b # foldl' :: (b -> a -> b) -> b -> Par1 a -> b # foldr1 :: (a -> a -> a) -> Par1 a -> a # foldl1 :: (a -> a -> a) -> Par1 a -> a # toList :: Par1 a -> [a] # null :: Par1 a -> Bool # length :: Par1 a -> Int # elem :: Eq a => a -> Par1 a -> Bool # maximum :: Ord a => Par1 a -> a # minimum :: Ord a => Par1 a -> a # sum :: Num a => Par1 a -> a # product :: Num a => Par1 a -> a #
Foldable IResult
Instance details Defined in Data.Aeson.Types.Internal Methods fold :: Monoid m => IResult m -> m # foldMap :: Monoid m => (a -> m) -> IResult a -> m # foldr :: (a -> b -> b) -> b -> IResult a -> b # foldr' :: (a -> b -> b) -> b -> IResult a -> b # foldl :: (b -> a -> b) -> b -> IResult a -> b # foldl' :: (b -> a -> b) -> b -> IResult a -> b # foldr1 :: (a -> a -> a) -> IResult a -> a # foldl1 :: (a -> a -> a) -> IResult a -> a # toList :: IResult a -> [a] # null :: IResult a -> Bool # length :: IResult a -> Int # elem :: Eq a => a -> IResult a -> Bool # maximum :: Ord a => IResult a -> a # minimum :: Ord a => IResult a -> a # sum :: Num a => IResult a -> a # product :: Num a => IResult a -> a #
Foldable Result
Instance details Defined in Data.Aeson.Types.Internal Methods fold :: Monoid m => Result m -> m # foldMap :: Monoid m => (a -> m) -> Result a -> m # foldr :: (a -> b -> b) -> b -> Result a -> b # foldr' :: (a -> b -> b) -> b -> Result a -> b # foldl :: (b -> a -> b) -> b -> Result a -> b # foldl' :: (b -> a -> b) -> b -> Result a -> b # foldr1 :: (a -> a -> a) -> Result a -> a # foldl1 :: (a -> a -> a) -> Result a -> a # toList :: Result a -> [a] # null :: Result a -> Bool # length :: Result a -> Int # elem :: Eq a => a -> Result a -> Bool # maximum :: Ord a => Result a -> a # minimum :: Ord a => Result a -> a # sum :: Num a => Result a -> a # product :: Num a => Result a -> a #
Foldable Approximate
Instance details Defined in Data.Approximate.Type Methods fold :: Monoid m => Approximate m -> m # foldMap :: Monoid m => (a -> m) -> Approximate a -> m # foldr :: (a -> b -> b) -> b -> Approximate a -> b # foldr' :: (a -> b -> b) -> b -> Approximate a -> b # foldl :: (b -> a -> b) -> b -> Approximate a -> b # foldl' :: (b -> a -> b) -> b -> Approximate a -> b # foldr1 :: (a -> a -> a) -> Approximate a -> a # foldl1 :: (a -> a -> a) -> Approximate a -> a # toList :: Approximate a -> [a] # null :: Approximate a -> Bool # length :: Approximate a -> Int # elem :: Eq a => a -> Approximate a -> Bool # maximum :: Ord a => Approximate a -> a # minimum :: Ord a => Approximate a -> a # sum :: Num a => Approximate a -> a # product :: Num a => Approximate a -> a #
Foldable Complex
Instance details Defined in Data.Complex Methods fold :: Monoid m => Complex m -> m # foldMap :: Monoid m => (a -> m) -> Complex a -> m # foldr :: (a -> b -> b) -> b -> Complex a -> b # foldr' :: (a -> b -> b) -> b -> Complex a -> b # foldl :: (b -> a -> b) -> b -> Complex a -> b # foldl' :: (b -> a -> b) -> b -> Complex a -> b # foldr1 :: (a -> a -> a) -> Complex a -> a # foldl1 :: (a -> a -> a) -> Complex a -> a # toList :: Complex a -> [a] # null :: Complex a -> Bool # length :: Complex a -> Int # elem :: Eq a => a -> Complex a -> Bool # maximum :: Ord a => Complex a -> a # minimum :: Ord a => Complex a -> a # sum :: Num a => Complex a -> a # product :: Num a => Complex a -> a #
Foldable Min	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Min m -> m # foldMap :: Monoid m => (a -> m) -> Min a -> m # foldr :: (a -> b -> b) -> b -> Min a -> b # foldr' :: (a -> b -> b) -> b -> Min a -> b # foldl :: (b -> a -> b) -> b -> Min a -> b # foldl' :: (b -> a -> b) -> b -> Min a -> b # foldr1 :: (a -> a -> a) -> Min a -> a # foldl1 :: (a -> a -> a) -> Min a -> a # toList :: Min a -> [a] # null :: Min a -> Bool # length :: Min a -> Int # elem :: Eq a => a -> Min a -> Bool # maximum :: Ord a => Min a -> a # minimum :: Ord a => Min a -> a # sum :: Num a => Min a -> a # product :: Num a => Min a -> a #
Foldable Max	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Max m -> m # foldMap :: Monoid m => (a -> m) -> Max a -> m # foldr :: (a -> b -> b) -> b -> Max a -> b # foldr' :: (a -> b -> b) -> b -> Max a -> b # foldl :: (b -> a -> b) -> b -> Max a -> b # foldl' :: (b -> a -> b) -> b -> Max a -> b # foldr1 :: (a -> a -> a) -> Max a -> a # foldl1 :: (a -> a -> a) -> Max a -> a # toList :: Max a -> [a] # null :: Max a -> Bool # length :: Max a -> Int # elem :: Eq a => a -> Max a -> Bool # maximum :: Ord a => Max a -> a # minimum :: Ord a => Max a -> a # sum :: Num a => Max a -> a # product :: Num a => Max a -> a #
Foldable First	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # toList :: First a -> [a] # null :: First a -> Bool # length :: First a -> Int # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # sum :: Num a => First a -> a # product :: Num a => First a -> a #
Foldable Last	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # toList :: Last a -> [a] # null :: Last a -> Bool # length :: Last a -> Int # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # minimum :: Ord a => Last a -> a # sum :: Num a => Last a -> a # product :: Num a => Last a -> a #
Foldable Option	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Option m -> m # foldMap :: Monoid m => (a -> m) -> Option a -> m # foldr :: (a -> b -> b) -> b -> Option a -> b # foldr' :: (a -> b -> b) -> b -> Option a -> b # foldl :: (b -> a -> b) -> b -> Option a -> b # foldl' :: (b -> a -> b) -> b -> Option a -> b # foldr1 :: (a -> a -> a) -> Option a -> a # foldl1 :: (a -> a -> a) -> Option a -> a # toList :: Option a -> [a] # null :: Option a -> Bool # length :: Option a -> Int # elem :: Eq a => a -> Option a -> Bool # maximum :: Ord a => Option a -> a # minimum :: Ord a => Option a -> a # sum :: Num a => Option a -> a # product :: Num a => Option a -> a #
Foldable ZipList
Instance details Defined in Control.Applicative Methods fold :: Monoid m => ZipList m -> m # foldMap :: Monoid m => (a -> m) -> ZipList a -> m # foldr :: (a -> b -> b) -> b -> ZipList a -> b # foldr' :: (a -> b -> b) -> b -> ZipList a -> b # foldl :: (b -> a -> b) -> b -> ZipList a -> b # foldl' :: (b -> a -> b) -> b -> ZipList a -> b # foldr1 :: (a -> a -> a) -> ZipList a -> a # foldl1 :: (a -> a -> a) -> ZipList a -> a # toList :: ZipList a -> [a] # null :: ZipList a -> Bool # length :: ZipList a -> Int # elem :: Eq a => a -> ZipList a -> Bool # maximum :: Ord a => ZipList a -> a # minimum :: Ord a => ZipList a -> a # sum :: Num a => ZipList a -> a # product :: Num a => ZipList a -> a #
Foldable Identity	Since: base-4.8.0.0
Instance details Defined in Data.Functor.Identity Methods fold :: Monoid m => Identity m -> m # foldMap :: Monoid m => (a -> m) -> Identity a -> m # foldr :: (a -> b -> b) -> b -> Identity a -> b # foldr' :: (a -> b -> b) -> b -> Identity a -> b # foldl :: (b -> a -> b) -> b -> Identity a -> b # foldl' :: (b -> a -> b) -> b -> Identity a -> b # foldr1 :: (a -> a -> a) -> Identity a -> a # foldl1 :: (a -> a -> a) -> Identity a -> a # toList :: Identity a -> [a] # null :: Identity a -> Bool # length :: Identity a -> Int # elem :: Eq a => a -> Identity a -> Bool # maximum :: Ord a => Identity a -> a # minimum :: Ord a => Identity a -> a # sum :: Num a => Identity a -> a # product :: Num a => Identity a -> a #
Foldable First	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => First m -> m # foldMap :: Monoid m => (a -> m) -> First a -> m # foldr :: (a -> b -> b) -> b -> First a -> b # foldr' :: (a -> b -> b) -> b -> First a -> b # foldl :: (b -> a -> b) -> b -> First a -> b # foldl' :: (b -> a -> b) -> b -> First a -> b # foldr1 :: (a -> a -> a) -> First a -> a # foldl1 :: (a -> a -> a) -> First a -> a # toList :: First a -> [a] # null :: First a -> Bool # length :: First a -> Int # elem :: Eq a => a -> First a -> Bool # maximum :: Ord a => First a -> a # minimum :: Ord a => First a -> a # sum :: Num a => First a -> a # product :: Num a => First a -> a #
Foldable Last	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Last m -> m # foldMap :: Monoid m => (a -> m) -> Last a -> m # foldr :: (a -> b -> b) -> b -> Last a -> b # foldr' :: (a -> b -> b) -> b -> Last a -> b # foldl :: (b -> a -> b) -> b -> Last a -> b # foldl' :: (b -> a -> b) -> b -> Last a -> b # foldr1 :: (a -> a -> a) -> Last a -> a # foldl1 :: (a -> a -> a) -> Last a -> a # toList :: Last a -> [a] # null :: Last a -> Bool # length :: Last a -> Int # elem :: Eq a => a -> Last a -> Bool # maximum :: Ord a => Last a -> a # minimum :: Ord a => Last a -> a # sum :: Num a => Last a -> a # product :: Num a => Last a -> a #
Foldable Dual	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Dual m -> m # foldMap :: Monoid m => (a -> m) -> Dual a -> m # foldr :: (a -> b -> b) -> b -> Dual a -> b # foldr' :: (a -> b -> b) -> b -> Dual a -> b # foldl :: (b -> a -> b) -> b -> Dual a -> b # foldl' :: (b -> a -> b) -> b -> Dual a -> b # foldr1 :: (a -> a -> a) -> Dual a -> a # foldl1 :: (a -> a -> a) -> Dual a -> a # toList :: Dual a -> [a] # null :: Dual a -> Bool # length :: Dual a -> Int # elem :: Eq a => a -> Dual a -> Bool # maximum :: Ord a => Dual a -> a # minimum :: Ord a => Dual a -> a # sum :: Num a => Dual a -> a # product :: Num a => Dual a -> a #
Foldable Sum	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Sum m -> m # foldMap :: Monoid m => (a -> m) -> Sum a -> m # foldr :: (a -> b -> b) -> b -> Sum a -> b # foldr' :: (a -> b -> b) -> b -> Sum a -> b # foldl :: (b -> a -> b) -> b -> Sum a -> b # foldl' :: (b -> a -> b) -> b -> Sum a -> b # foldr1 :: (a -> a -> a) -> Sum a -> a # foldl1 :: (a -> a -> a) -> Sum a -> a # toList :: Sum a -> [a] # null :: Sum a -> Bool # length :: Sum a -> Int # elem :: Eq a => a -> Sum a -> Bool # maximum :: Ord a => Sum a -> a # minimum :: Ord a => Sum a -> a # sum :: Num a => Sum a -> a # product :: Num a => Sum a -> a #
Foldable Product	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Product m -> m # foldMap :: Monoid m => (a -> m) -> Product a -> m # foldr :: (a -> b -> b) -> b -> Product a -> b # foldr' :: (a -> b -> b) -> b -> Product a -> b # foldl :: (b -> a -> b) -> b -> Product a -> b # foldl' :: (b -> a -> b) -> b -> Product a -> b # foldr1 :: (a -> a -> a) -> Product a -> a # foldl1 :: (a -> a -> a) -> Product a -> a # toList :: Product a -> [a] # null :: Product a -> Bool # length :: Product a -> Int # elem :: Eq a => a -> Product a -> Bool # maximum :: Ord a => Product a -> a # minimum :: Ord a => Product a -> a # sum :: Num a => Product a -> a # product :: Num a => Product a -> a #
Foldable NonEmpty	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => NonEmpty m -> m # foldMap :: Monoid m => (a -> m) -> NonEmpty a -> m # foldr :: (a -> b -> b) -> b -> NonEmpty a -> b # foldr' :: (a -> b -> b) -> b -> NonEmpty a -> b # foldl :: (b -> a -> b) -> b -> NonEmpty a -> b # foldl' :: (b -> a -> b) -> b -> NonEmpty a -> b # foldr1 :: (a -> a -> a) -> NonEmpty a -> a # foldl1 :: (a -> a -> a) -> NonEmpty a -> a # toList :: NonEmpty a -> [a] # null :: NonEmpty a -> Bool # length :: NonEmpty a -> Int # elem :: Eq a => a -> NonEmpty a -> Bool # maximum :: Ord a => NonEmpty a -> a # minimum :: Ord a => NonEmpty a -> a # sum :: Num a => NonEmpty a -> a # product :: Num a => NonEmpty a -> a #
Foldable IntMap
Instance details Defined in Data.IntMap.Internal Methods fold :: Monoid m => IntMap m -> m # foldMap :: Monoid m => (a -> m) -> IntMap a -> m # foldr :: (a -> b -> b) -> b -> IntMap a -> b # foldr' :: (a -> b -> b) -> b -> IntMap a -> b # foldl :: (b -> a -> b) -> b -> IntMap a -> b # foldl' :: (b -> a -> b) -> b -> IntMap a -> b # foldr1 :: (a -> a -> a) -> IntMap a -> a # foldl1 :: (a -> a -> a) -> IntMap a -> a # toList :: IntMap a -> [a] # null :: IntMap a -> Bool # length :: IntMap a -> Int # elem :: Eq a => a -> IntMap a -> Bool # maximum :: Ord a => IntMap a -> a # minimum :: Ord a => IntMap a -> a # sum :: Num a => IntMap a -> a # product :: Num a => IntMap a -> a #
Foldable SCC	Since: containers-0.5.9
Instance details Defined in Data.Graph Methods fold :: Monoid m => SCC m -> m # foldMap :: Monoid m => (a -> m) -> SCC a -> m # foldr :: (a -> b -> b) -> b -> SCC a -> b # foldr' :: (a -> b -> b) -> b -> SCC a -> b # foldl :: (b -> a -> b) -> b -> SCC a -> b # foldl' :: (b -> a -> b) -> b -> SCC a -> b # foldr1 :: (a -> a -> a) -> SCC a -> a # foldl1 :: (a -> a -> a) -> SCC a -> a # toList :: SCC a -> [a] # null :: SCC a -> Bool # length :: SCC a -> Int # elem :: Eq a => a -> SCC a -> Bool # maximum :: Ord a => SCC a -> a # minimum :: Ord a => SCC a -> a # sum :: Num a => SCC a -> a # product :: Num a => SCC a -> a #
Foldable Tree
Instance details Defined in Data.Tree Methods fold :: Monoid m => Tree m -> m # foldMap :: Monoid m => (a -> m) -> Tree a -> m # foldr :: (a -> b -> b) -> b -> Tree a -> b # foldr' :: (a -> b -> b) -> b -> Tree a -> b # foldl :: (b -> a -> b) -> b -> Tree a -> b # foldl' :: (b -> a -> b) -> b -> Tree a -> b # foldr1 :: (a -> a -> a) -> Tree a -> a # foldl1 :: (a -> a -> a) -> Tree a -> a # toList :: Tree a -> [a] # null :: Tree a -> Bool # length :: Tree a -> Int # elem :: Eq a => a -> Tree a -> Bool # maximum :: Ord a => Tree a -> a # minimum :: Ord a => Tree a -> a # sum :: Num a => Tree a -> a # product :: Num a => Tree a -> a #
Foldable Seq
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # toList :: Seq a -> [a] # null :: Seq a -> Bool # length :: Seq a -> Int # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # minimum :: Ord a => Seq a -> a # sum :: Num a => Seq a -> a # product :: Num a => Seq a -> a #
Foldable FingerTree
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => FingerTree m -> m # foldMap :: Monoid m => (a -> m) -> FingerTree a -> m # foldr :: (a -> b -> b) -> b -> FingerTree a -> b # foldr' :: (a -> b -> b) -> b -> FingerTree a -> b # foldl :: (b -> a -> b) -> b -> FingerTree a -> b # foldl' :: (b -> a -> b) -> b -> FingerTree a -> b # foldr1 :: (a -> a -> a) -> FingerTree a -> a # foldl1 :: (a -> a -> a) -> FingerTree a -> a # toList :: FingerTree a -> [a] # null :: FingerTree a -> Bool # length :: FingerTree a -> Int # elem :: Eq a => a -> FingerTree a -> Bool # maximum :: Ord a => FingerTree a -> a # minimum :: Ord a => FingerTree a -> a # sum :: Num a => FingerTree a -> a # product :: Num a => FingerTree a -> a #
Foldable Digit
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Digit m -> m # foldMap :: Monoid m => (a -> m) -> Digit a -> m # foldr :: (a -> b -> b) -> b -> Digit a -> b # foldr' :: (a -> b -> b) -> b -> Digit a -> b # foldl :: (b -> a -> b) -> b -> Digit a -> b # foldl' :: (b -> a -> b) -> b -> Digit a -> b # foldr1 :: (a -> a -> a) -> Digit a -> a # foldl1 :: (a -> a -> a) -> Digit a -> a # toList :: Digit a -> [a] # null :: Digit a -> Bool # length :: Digit a -> Int # elem :: Eq a => a -> Digit a -> Bool # maximum :: Ord a => Digit a -> a # minimum :: Ord a => Digit a -> a # sum :: Num a => Digit a -> a # product :: Num a => Digit a -> a #
Foldable Node
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Node m -> m # foldMap :: Monoid m => (a -> m) -> Node a -> m # foldr :: (a -> b -> b) -> b -> Node a -> b # foldr' :: (a -> b -> b) -> b -> Node a -> b # foldl :: (b -> a -> b) -> b -> Node a -> b # foldl' :: (b -> a -> b) -> b -> Node a -> b # foldr1 :: (a -> a -> a) -> Node a -> a # foldl1 :: (a -> a -> a) -> Node a -> a # toList :: Node a -> [a] # null :: Node a -> Bool # length :: Node a -> Int # elem :: Eq a => a -> Node a -> Bool # maximum :: Ord a => Node a -> a # minimum :: Ord a => Node a -> a # sum :: Num a => Node a -> a # product :: Num a => Node a -> a #
Foldable Elem
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Elem m -> m # foldMap :: Monoid m => (a -> m) -> Elem a -> m # foldr :: (a -> b -> b) -> b -> Elem a -> b # foldr' :: (a -> b -> b) -> b -> Elem a -> b # foldl :: (b -> a -> b) -> b -> Elem a -> b # foldl' :: (b -> a -> b) -> b -> Elem a -> b # foldr1 :: (a -> a -> a) -> Elem a -> a # foldl1 :: (a -> a -> a) -> Elem a -> a # toList :: Elem a -> [a] # null :: Elem a -> Bool # length :: Elem a -> Int # elem :: Eq a => a -> Elem a -> Bool # maximum :: Ord a => Elem a -> a # minimum :: Ord a => Elem a -> a # sum :: Num a => Elem a -> a # product :: Num a => Elem a -> a #
Foldable ViewL
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m # foldMap :: Monoid m => (a -> m) -> ViewL a -> m # foldr :: (a -> b -> b) -> b -> ViewL a -> b # foldr' :: (a -> b -> b) -> b -> ViewL a -> b # foldl :: (b -> a -> b) -> b -> ViewL a -> b # foldl' :: (b -> a -> b) -> b -> ViewL a -> b # foldr1 :: (a -> a -> a) -> ViewL a -> a # foldl1 :: (a -> a -> a) -> ViewL a -> a # toList :: ViewL a -> [a] # null :: ViewL a -> Bool # length :: ViewL a -> Int # elem :: Eq a => a -> ViewL a -> Bool # maximum :: Ord a => ViewL a -> a # minimum :: Ord a => ViewL a -> a # sum :: Num a => ViewL a -> a # product :: Num a => ViewL a -> a #
Foldable ViewR
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewR m -> m # foldMap :: Monoid m => (a -> m) -> ViewR a -> m # foldr :: (a -> b -> b) -> b -> ViewR a -> b # foldr' :: (a -> b -> b) -> b -> ViewR a -> b # foldl :: (b -> a -> b) -> b -> ViewR a -> b # foldl' :: (b -> a -> b) -> b -> ViewR a -> b # foldr1 :: (a -> a -> a) -> ViewR a -> a # foldl1 :: (a -> a -> a) -> ViewR a -> a # toList :: ViewR a -> [a] # null :: ViewR a -> Bool # length :: ViewR a -> Int # elem :: Eq a => a -> ViewR a -> Bool # maximum :: Ord a => ViewR a -> a # minimum :: Ord a => ViewR a -> a # sum :: Num a => ViewR a -> a # product :: Num a => ViewR a -> a #
Foldable Set
Instance details Defined in Data.Set.Internal Methods fold :: Monoid m => Set m -> m # foldMap :: Monoid m => (a -> m) -> Set a -> m # foldr :: (a -> b -> b) -> b -> Set a -> b # foldr' :: (a -> b -> b) -> b -> Set a -> b # foldl :: (b -> a -> b) -> b -> Set a -> b # foldl' :: (b -> a -> b) -> b -> Set a -> b # foldr1 :: (a -> a -> a) -> Set a -> a # foldl1 :: (a -> a -> a) -> Set a -> a # toList :: Set a -> [a] # null :: Set a -> Bool # length :: Set a -> Int # elem :: Eq a => a -> Set a -> Bool # maximum :: Ord a => Set a -> a # minimum :: Ord a => Set a -> a # sum :: Num a => Set a -> a # product :: Num a => Set a -> a #
Foldable DList
Instance details Defined in Data.DList Methods fold :: Monoid m => DList m -> m # foldMap :: Monoid m => (a -> m) -> DList a -> m # foldr :: (a -> b -> b) -> b -> DList a -> b # foldr' :: (a -> b -> b) -> b -> DList a -> b # foldl :: (b -> a -> b) -> b -> DList a -> b # foldl' :: (b -> a -> b) -> b -> DList a -> b # foldr1 :: (a -> a -> a) -> DList a -> a # foldl1 :: (a -> a -> a) -> DList a -> a # toList :: DList a -> [a] # null :: DList a -> Bool # length :: DList a -> Int # elem :: Eq a => a -> DList a -> Bool # maximum :: Ord a => DList a -> a # minimum :: Ord a => DList a -> a # sum :: Num a => DList a -> a # product :: Num a => DList a -> a #
Foldable Hashed
Instance details Defined in Data.Hashable.Class Methods fold :: Monoid m => Hashed m -> m # foldMap :: Monoid m => (a -> m) -> Hashed a -> m # foldr :: (a -> b -> b) -> b -> Hashed a -> b # foldr' :: (a -> b -> b) -> b -> Hashed a -> b # foldl :: (b -> a -> b) -> b -> Hashed a -> b # foldl' :: (b -> a -> b) -> b -> Hashed a -> b # foldr1 :: (a -> a -> a) -> Hashed a -> a # foldl1 :: (a -> a -> a) -> Hashed a -> a # toList :: Hashed a -> [a] # null :: Hashed a -> Bool # length :: Hashed a -> Int # elem :: Eq a => a -> Hashed a -> Bool # maximum :: Ord a => Hashed a -> a # minimum :: Ord a => Hashed a -> a # sum :: Num a => Hashed a -> a # product :: Num a => Hashed a -> a #
Foldable ModuleName
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ModuleName m -> m # foldMap :: Monoid m => (a -> m) -> ModuleName a -> m # foldr :: (a -> b -> b) -> b -> ModuleName a -> b # foldr' :: (a -> b -> b) -> b -> ModuleName a -> b # foldl :: (b -> a -> b) -> b -> ModuleName a -> b # foldl' :: (b -> a -> b) -> b -> ModuleName a -> b # foldr1 :: (a -> a -> a) -> ModuleName a -> a # foldl1 :: (a -> a -> a) -> ModuleName a -> a # toList :: ModuleName a -> [a] # null :: ModuleName a -> Bool # length :: ModuleName a -> Int # elem :: Eq a => a -> ModuleName a -> Bool # maximum :: Ord a => ModuleName a -> a # minimum :: Ord a => ModuleName a -> a # sum :: Num a => ModuleName a -> a # product :: Num a => ModuleName a -> a #
Foldable SpecialCon
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => SpecialCon m -> m # foldMap :: Monoid m => (a -> m) -> SpecialCon a -> m # foldr :: (a -> b -> b) -> b -> SpecialCon a -> b # foldr' :: (a -> b -> b) -> b -> SpecialCon a -> b # foldl :: (b -> a -> b) -> b -> SpecialCon a -> b # foldl' :: (b -> a -> b) -> b -> SpecialCon a -> b # foldr1 :: (a -> a -> a) -> SpecialCon a -> a # foldl1 :: (a -> a -> a) -> SpecialCon a -> a # toList :: SpecialCon a -> [a] # null :: SpecialCon a -> Bool # length :: SpecialCon a -> Int # elem :: Eq a => a -> SpecialCon a -> Bool # maximum :: Ord a => SpecialCon a -> a # minimum :: Ord a => SpecialCon a -> a # sum :: Num a => SpecialCon a -> a # product :: Num a => SpecialCon a -> a #
Foldable QName
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QName m -> m # foldMap :: Monoid m => (a -> m) -> QName a -> m # foldr :: (a -> b -> b) -> b -> QName a -> b # foldr' :: (a -> b -> b) -> b -> QName a -> b # foldl :: (b -> a -> b) -> b -> QName a -> b # foldl' :: (b -> a -> b) -> b -> QName a -> b # foldr1 :: (a -> a -> a) -> QName a -> a # foldl1 :: (a -> a -> a) -> QName a -> a # toList :: QName a -> [a] # null :: QName a -> Bool # length :: QName a -> Int # elem :: Eq a => a -> QName a -> Bool # maximum :: Ord a => QName a -> a # minimum :: Ord a => QName a -> a # sum :: Num a => QName a -> a # product :: Num a => QName a -> a #
Foldable Name
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Name m -> m # foldMap :: Monoid m => (a -> m) -> Name a -> m # foldr :: (a -> b -> b) -> b -> Name a -> b # foldr' :: (a -> b -> b) -> b -> Name a -> b # foldl :: (b -> a -> b) -> b -> Name a -> b # foldl' :: (b -> a -> b) -> b -> Name a -> b # foldr1 :: (a -> a -> a) -> Name a -> a # foldl1 :: (a -> a -> a) -> Name a -> a # toList :: Name a -> [a] # null :: Name a -> Bool # length :: Name a -> Int # elem :: Eq a => a -> Name a -> Bool # maximum :: Ord a => Name a -> a # minimum :: Ord a => Name a -> a # sum :: Num a => Name a -> a # product :: Num a => Name a -> a #
Foldable IPName
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => IPName m -> m # foldMap :: Monoid m => (a -> m) -> IPName a -> m # foldr :: (a -> b -> b) -> b -> IPName a -> b # foldr' :: (a -> b -> b) -> b -> IPName a -> b # foldl :: (b -> a -> b) -> b -> IPName a -> b # foldl' :: (b -> a -> b) -> b -> IPName a -> b # foldr1 :: (a -> a -> a) -> IPName a -> a # foldl1 :: (a -> a -> a) -> IPName a -> a # toList :: IPName a -> [a] # null :: IPName a -> Bool # length :: IPName a -> Int # elem :: Eq a => a -> IPName a -> Bool # maximum :: Ord a => IPName a -> a # minimum :: Ord a => IPName a -> a # sum :: Num a => IPName a -> a # product :: Num a => IPName a -> a #
Foldable QOp
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QOp m -> m # foldMap :: Monoid m => (a -> m) -> QOp a -> m # foldr :: (a -> b -> b) -> b -> QOp a -> b # foldr' :: (a -> b -> b) -> b -> QOp a -> b # foldl :: (b -> a -> b) -> b -> QOp a -> b # foldl' :: (b -> a -> b) -> b -> QOp a -> b # foldr1 :: (a -> a -> a) -> QOp a -> a # foldl1 :: (a -> a -> a) -> QOp a -> a # toList :: QOp a -> [a] # null :: QOp a -> Bool # length :: QOp a -> Int # elem :: Eq a => a -> QOp a -> Bool # maximum :: Ord a => QOp a -> a # minimum :: Ord a => QOp a -> a # sum :: Num a => QOp a -> a # product :: Num a => QOp a -> a #
Foldable Op
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Op m -> m # foldMap :: Monoid m => (a -> m) -> Op a -> m # foldr :: (a -> b -> b) -> b -> Op a -> b # foldr' :: (a -> b -> b) -> b -> Op a -> b # foldl :: (b -> a -> b) -> b -> Op a -> b # foldl' :: (b -> a -> b) -> b -> Op a -> b # foldr1 :: (a -> a -> a) -> Op a -> a # foldl1 :: (a -> a -> a) -> Op a -> a # toList :: Op a -> [a] # null :: Op a -> Bool # length :: Op a -> Int # elem :: Eq a => a -> Op a -> Bool # maximum :: Ord a => Op a -> a # minimum :: Ord a => Op a -> a # sum :: Num a => Op a -> a # product :: Num a => Op a -> a #
Foldable CName
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => CName m -> m # foldMap :: Monoid m => (a -> m) -> CName a -> m # foldr :: (a -> b -> b) -> b -> CName a -> b # foldr' :: (a -> b -> b) -> b -> CName a -> b # foldl :: (b -> a -> b) -> b -> CName a -> b # foldl' :: (b -> a -> b) -> b -> CName a -> b # foldr1 :: (a -> a -> a) -> CName a -> a # foldl1 :: (a -> a -> a) -> CName a -> a # toList :: CName a -> [a] # null :: CName a -> Bool # length :: CName a -> Int # elem :: Eq a => a -> CName a -> Bool # maximum :: Ord a => CName a -> a # minimum :: Ord a => CName a -> a # sum :: Num a => CName a -> a # product :: Num a => CName a -> a #
Foldable Module
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Module m -> m # foldMap :: Monoid m => (a -> m) -> Module a -> m # foldr :: (a -> b -> b) -> b -> Module a -> b # foldr' :: (a -> b -> b) -> b -> Module a -> b # foldl :: (b -> a -> b) -> b -> Module a -> b # foldl' :: (b -> a -> b) -> b -> Module a -> b # foldr1 :: (a -> a -> a) -> Module a -> a # foldl1 :: (a -> a -> a) -> Module a -> a # toList :: Module a -> [a] # null :: Module a -> Bool # length :: Module a -> Int # elem :: Eq a => a -> Module a -> Bool # maximum :: Ord a => Module a -> a # minimum :: Ord a => Module a -> a # sum :: Num a => Module a -> a # product :: Num a => Module a -> a #
Foldable ModuleHead
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ModuleHead m -> m # foldMap :: Monoid m => (a -> m) -> ModuleHead a -> m # foldr :: (a -> b -> b) -> b -> ModuleHead a -> b # foldr' :: (a -> b -> b) -> b -> ModuleHead a -> b # foldl :: (b -> a -> b) -> b -> ModuleHead a -> b # foldl' :: (b -> a -> b) -> b -> ModuleHead a -> b # foldr1 :: (a -> a -> a) -> ModuleHead a -> a # foldl1 :: (a -> a -> a) -> ModuleHead a -> a # toList :: ModuleHead a -> [a] # null :: ModuleHead a -> Bool # length :: ModuleHead a -> Int # elem :: Eq a => a -> ModuleHead a -> Bool # maximum :: Ord a => ModuleHead a -> a # minimum :: Ord a => ModuleHead a -> a # sum :: Num a => ModuleHead a -> a # product :: Num a => ModuleHead a -> a #
Foldable ExportSpecList
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ExportSpecList m -> m # foldMap :: Monoid m => (a -> m) -> ExportSpecList a -> m # foldr :: (a -> b -> b) -> b -> ExportSpecList a -> b # foldr' :: (a -> b -> b) -> b -> ExportSpecList a -> b # foldl :: (b -> a -> b) -> b -> ExportSpecList a -> b # foldl' :: (b -> a -> b) -> b -> ExportSpecList a -> b # foldr1 :: (a -> a -> a) -> ExportSpecList a -> a # foldl1 :: (a -> a -> a) -> ExportSpecList a -> a # toList :: ExportSpecList a -> [a] # null :: ExportSpecList a -> Bool # length :: ExportSpecList a -> Int # elem :: Eq a => a -> ExportSpecList a -> Bool # maximum :: Ord a => ExportSpecList a -> a # minimum :: Ord a => ExportSpecList a -> a # sum :: Num a => ExportSpecList a -> a # product :: Num a => ExportSpecList a -> a #
Foldable ExportSpec
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ExportSpec m -> m # foldMap :: Monoid m => (a -> m) -> ExportSpec a -> m # foldr :: (a -> b -> b) -> b -> ExportSpec a -> b # foldr' :: (a -> b -> b) -> b -> ExportSpec a -> b # foldl :: (b -> a -> b) -> b -> ExportSpec a -> b # foldl' :: (b -> a -> b) -> b -> ExportSpec a -> b # foldr1 :: (a -> a -> a) -> ExportSpec a -> a # foldl1 :: (a -> a -> a) -> ExportSpec a -> a # toList :: ExportSpec a -> [a] # null :: ExportSpec a -> Bool # length :: ExportSpec a -> Int # elem :: Eq a => a -> ExportSpec a -> Bool # maximum :: Ord a => ExportSpec a -> a # minimum :: Ord a => ExportSpec a -> a # sum :: Num a => ExportSpec a -> a # product :: Num a => ExportSpec a -> a #
Foldable EWildcard
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => EWildcard m -> m # foldMap :: Monoid m => (a -> m) -> EWildcard a -> m # foldr :: (a -> b -> b) -> b -> EWildcard a -> b # foldr' :: (a -> b -> b) -> b -> EWildcard a -> b # foldl :: (b -> a -> b) -> b -> EWildcard a -> b # foldl' :: (b -> a -> b) -> b -> EWildcard a -> b # foldr1 :: (a -> a -> a) -> EWildcard a -> a # foldl1 :: (a -> a -> a) -> EWildcard a -> a # toList :: EWildcard a -> [a] # null :: EWildcard a -> Bool # length :: EWildcard a -> Int # elem :: Eq a => a -> EWildcard a -> Bool # maximum :: Ord a => EWildcard a -> a # minimum :: Ord a => EWildcard a -> a # sum :: Num a => EWildcard a -> a # product :: Num a => EWildcard a -> a #
Foldable Namespace
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Namespace m -> m # foldMap :: Monoid m => (a -> m) -> Namespace a -> m # foldr :: (a -> b -> b) -> b -> Namespace a -> b # foldr' :: (a -> b -> b) -> b -> Namespace a -> b # foldl :: (b -> a -> b) -> b -> Namespace a -> b # foldl' :: (b -> a -> b) -> b -> Namespace a -> b # foldr1 :: (a -> a -> a) -> Namespace a -> a # foldl1 :: (a -> a -> a) -> Namespace a -> a # toList :: Namespace a -> [a] # null :: Namespace a -> Bool # length :: Namespace a -> Int # elem :: Eq a => a -> Namespace a -> Bool # maximum :: Ord a => Namespace a -> a # minimum :: Ord a => Namespace a -> a # sum :: Num a => Namespace a -> a # product :: Num a => Namespace a -> a #
Foldable ImportDecl
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ImportDecl m -> m # foldMap :: Monoid m => (a -> m) -> ImportDecl a -> m # foldr :: (a -> b -> b) -> b -> ImportDecl a -> b # foldr' :: (a -> b -> b) -> b -> ImportDecl a -> b # foldl :: (b -> a -> b) -> b -> ImportDecl a -> b # foldl' :: (b -> a -> b) -> b -> ImportDecl a -> b # foldr1 :: (a -> a -> a) -> ImportDecl a -> a # foldl1 :: (a -> a -> a) -> ImportDecl a -> a # toList :: ImportDecl a -> [a] # null :: ImportDecl a -> Bool # length :: ImportDecl a -> Int # elem :: Eq a => a -> ImportDecl a -> Bool # maximum :: Ord a => ImportDecl a -> a # minimum :: Ord a => ImportDecl a -> a # sum :: Num a => ImportDecl a -> a # product :: Num a => ImportDecl a -> a #
Foldable ImportSpecList
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ImportSpecList m -> m # foldMap :: Monoid m => (a -> m) -> ImportSpecList a -> m # foldr :: (a -> b -> b) -> b -> ImportSpecList a -> b # foldr' :: (a -> b -> b) -> b -> ImportSpecList a -> b # foldl :: (b -> a -> b) -> b -> ImportSpecList a -> b # foldl' :: (b -> a -> b) -> b -> ImportSpecList a -> b # foldr1 :: (a -> a -> a) -> ImportSpecList a -> a # foldl1 :: (a -> a -> a) -> ImportSpecList a -> a # toList :: ImportSpecList a -> [a] # null :: ImportSpecList a -> Bool # length :: ImportSpecList a -> Int # elem :: Eq a => a -> ImportSpecList a -> Bool # maximum :: Ord a => ImportSpecList a -> a # minimum :: Ord a => ImportSpecList a -> a # sum :: Num a => ImportSpecList a -> a # product :: Num a => ImportSpecList a -> a #
Foldable ImportSpec
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ImportSpec m -> m # foldMap :: Monoid m => (a -> m) -> ImportSpec a -> m # foldr :: (a -> b -> b) -> b -> ImportSpec a -> b # foldr' :: (a -> b -> b) -> b -> ImportSpec a -> b # foldl :: (b -> a -> b) -> b -> ImportSpec a -> b # foldl' :: (b -> a -> b) -> b -> ImportSpec a -> b # foldr1 :: (a -> a -> a) -> ImportSpec a -> a # foldl1 :: (a -> a -> a) -> ImportSpec a -> a # toList :: ImportSpec a -> [a] # null :: ImportSpec a -> Bool # length :: ImportSpec a -> Int # elem :: Eq a => a -> ImportSpec a -> Bool # maximum :: Ord a => ImportSpec a -> a # minimum :: Ord a => ImportSpec a -> a # sum :: Num a => ImportSpec a -> a # product :: Num a => ImportSpec a -> a #
Foldable Assoc
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Assoc m -> m # foldMap :: Monoid m => (a -> m) -> Assoc a -> m # foldr :: (a -> b -> b) -> b -> Assoc a -> b # foldr' :: (a -> b -> b) -> b -> Assoc a -> b # foldl :: (b -> a -> b) -> b -> Assoc a -> b # foldl' :: (b -> a -> b) -> b -> Assoc a -> b # foldr1 :: (a -> a -> a) -> Assoc a -> a # foldl1 :: (a -> a -> a) -> Assoc a -> a # toList :: Assoc a -> [a] # null :: Assoc a -> Bool # length :: Assoc a -> Int # elem :: Eq a => a -> Assoc a -> Bool # maximum :: Ord a => Assoc a -> a # minimum :: Ord a => Assoc a -> a # sum :: Num a => Assoc a -> a # product :: Num a => Assoc a -> a #
Foldable Decl
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Decl m -> m # foldMap :: Monoid m => (a -> m) -> Decl a -> m # foldr :: (a -> b -> b) -> b -> Decl a -> b # foldr' :: (a -> b -> b) -> b -> Decl a -> b # foldl :: (b -> a -> b) -> b -> Decl a -> b # foldl' :: (b -> a -> b) -> b -> Decl a -> b # foldr1 :: (a -> a -> a) -> Decl a -> a # foldl1 :: (a -> a -> a) -> Decl a -> a # toList :: Decl a -> [a] # null :: Decl a -> Bool # length :: Decl a -> Int # elem :: Eq a => a -> Decl a -> Bool # maximum :: Ord a => Decl a -> a # minimum :: Ord a => Decl a -> a # sum :: Num a => Decl a -> a # product :: Num a => Decl a -> a #
Foldable PatternSynDirection
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => PatternSynDirection m -> m # foldMap :: Monoid m => (a -> m) -> PatternSynDirection a -> m # foldr :: (a -> b -> b) -> b -> PatternSynDirection a -> b # foldr' :: (a -> b -> b) -> b -> PatternSynDirection a -> b # foldl :: (b -> a -> b) -> b -> PatternSynDirection a -> b # foldl' :: (b -> a -> b) -> b -> PatternSynDirection a -> b # foldr1 :: (a -> a -> a) -> PatternSynDirection a -> a # foldl1 :: (a -> a -> a) -> PatternSynDirection a -> a # toList :: PatternSynDirection a -> [a] # null :: PatternSynDirection a -> Bool # length :: PatternSynDirection a -> Int # elem :: Eq a => a -> PatternSynDirection a -> Bool # maximum :: Ord a => PatternSynDirection a -> a # minimum :: Ord a => PatternSynDirection a -> a # sum :: Num a => PatternSynDirection a -> a # product :: Num a => PatternSynDirection a -> a #
Foldable TypeEqn
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => TypeEqn m -> m # foldMap :: Monoid m => (a -> m) -> TypeEqn a -> m # foldr :: (a -> b -> b) -> b -> TypeEqn a -> b # foldr' :: (a -> b -> b) -> b -> TypeEqn a -> b # foldl :: (b -> a -> b) -> b -> TypeEqn a -> b # foldl' :: (b -> a -> b) -> b -> TypeEqn a -> b # foldr1 :: (a -> a -> a) -> TypeEqn a -> a # foldl1 :: (a -> a -> a) -> TypeEqn a -> a # toList :: TypeEqn a -> [a] # null :: TypeEqn a -> Bool # length :: TypeEqn a -> Int # elem :: Eq a => a -> TypeEqn a -> Bool # maximum :: Ord a => TypeEqn a -> a # minimum :: Ord a => TypeEqn a -> a # sum :: Num a => TypeEqn a -> a # product :: Num a => TypeEqn a -> a #
Foldable Annotation
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Annotation m -> m # foldMap :: Monoid m => (a -> m) -> Annotation a -> m # foldr :: (a -> b -> b) -> b -> Annotation a -> b # foldr' :: (a -> b -> b) -> b -> Annotation a -> b # foldl :: (b -> a -> b) -> b -> Annotation a -> b # foldl' :: (b -> a -> b) -> b -> Annotation a -> b # foldr1 :: (a -> a -> a) -> Annotation a -> a # foldl1 :: (a -> a -> a) -> Annotation a -> a # toList :: Annotation a -> [a] # null :: Annotation a -> Bool # length :: Annotation a -> Int # elem :: Eq a => a -> Annotation a -> Bool # maximum :: Ord a => Annotation a -> a # minimum :: Ord a => Annotation a -> a # sum :: Num a => Annotation a -> a # product :: Num a => Annotation a -> a #
Foldable BooleanFormula
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => BooleanFormula m -> m # foldMap :: Monoid m => (a -> m) -> BooleanFormula a -> m # foldr :: (a -> b -> b) -> b -> BooleanFormula a -> b # foldr' :: (a -> b -> b) -> b -> BooleanFormula a -> b # foldl :: (b -> a -> b) -> b -> BooleanFormula a -> b # foldl' :: (b -> a -> b) -> b -> BooleanFormula a -> b # foldr1 :: (a -> a -> a) -> BooleanFormula a -> a # foldl1 :: (a -> a -> a) -> BooleanFormula a -> a # toList :: BooleanFormula a -> [a] # null :: BooleanFormula a -> Bool # length :: BooleanFormula a -> Int # elem :: Eq a => a -> BooleanFormula a -> Bool # maximum :: Ord a => BooleanFormula a -> a # minimum :: Ord a => BooleanFormula a -> a # sum :: Num a => BooleanFormula a -> a # product :: Num a => BooleanFormula a -> a #
Foldable Role
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Role m -> m # foldMap :: Monoid m => (a -> m) -> Role a -> m # foldr :: (a -> b -> b) -> b -> Role a -> b # foldr' :: (a -> b -> b) -> b -> Role a -> b # foldl :: (b -> a -> b) -> b -> Role a -> b # foldl' :: (b -> a -> b) -> b -> Role a -> b # foldr1 :: (a -> a -> a) -> Role a -> a # foldl1 :: (a -> a -> a) -> Role a -> a # toList :: Role a -> [a] # null :: Role a -> Bool # length :: Role a -> Int # elem :: Eq a => a -> Role a -> Bool # maximum :: Ord a => Role a -> a # minimum :: Ord a => Role a -> a # sum :: Num a => Role a -> a # product :: Num a => Role a -> a #
Foldable DataOrNew
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => DataOrNew m -> m # foldMap :: Monoid m => (a -> m) -> DataOrNew a -> m # foldr :: (a -> b -> b) -> b -> DataOrNew a -> b # foldr' :: (a -> b -> b) -> b -> DataOrNew a -> b # foldl :: (b -> a -> b) -> b -> DataOrNew a -> b # foldl' :: (b -> a -> b) -> b -> DataOrNew a -> b # foldr1 :: (a -> a -> a) -> DataOrNew a -> a # foldl1 :: (a -> a -> a) -> DataOrNew a -> a # toList :: DataOrNew a -> [a] # null :: DataOrNew a -> Bool # length :: DataOrNew a -> Int # elem :: Eq a => a -> DataOrNew a -> Bool # maximum :: Ord a => DataOrNew a -> a # minimum :: Ord a => DataOrNew a -> a # sum :: Num a => DataOrNew a -> a # product :: Num a => DataOrNew a -> a #
Foldable InjectivityInfo
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InjectivityInfo m -> m # foldMap :: Monoid m => (a -> m) -> InjectivityInfo a -> m # foldr :: (a -> b -> b) -> b -> InjectivityInfo a -> b # foldr' :: (a -> b -> b) -> b -> InjectivityInfo a -> b # foldl :: (b -> a -> b) -> b -> InjectivityInfo a -> b # foldl' :: (b -> a -> b) -> b -> InjectivityInfo a -> b # foldr1 :: (a -> a -> a) -> InjectivityInfo a -> a # foldl1 :: (a -> a -> a) -> InjectivityInfo a -> a # toList :: InjectivityInfo a -> [a] # null :: InjectivityInfo a -> Bool # length :: InjectivityInfo a -> Int # elem :: Eq a => a -> InjectivityInfo a -> Bool # maximum :: Ord a => InjectivityInfo a -> a # minimum :: Ord a => InjectivityInfo a -> a # sum :: Num a => InjectivityInfo a -> a # product :: Num a => InjectivityInfo a -> a #
Foldable ResultSig
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ResultSig m -> m # foldMap :: Monoid m => (a -> m) -> ResultSig a -> m # foldr :: (a -> b -> b) -> b -> ResultSig a -> b # foldr' :: (a -> b -> b) -> b -> ResultSig a -> b # foldl :: (b -> a -> b) -> b -> ResultSig a -> b # foldl' :: (b -> a -> b) -> b -> ResultSig a -> b # foldr1 :: (a -> a -> a) -> ResultSig a -> a # foldl1 :: (a -> a -> a) -> ResultSig a -> a # toList :: ResultSig a -> [a] # null :: ResultSig a -> Bool # length :: ResultSig a -> Int # elem :: Eq a => a -> ResultSig a -> Bool # maximum :: Ord a => ResultSig a -> a # minimum :: Ord a => ResultSig a -> a # sum :: Num a => ResultSig a -> a # product :: Num a => ResultSig a -> a #
Foldable DeclHead
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => DeclHead m -> m # foldMap :: Monoid m => (a -> m) -> DeclHead a -> m # foldr :: (a -> b -> b) -> b -> DeclHead a -> b # foldr' :: (a -> b -> b) -> b -> DeclHead a -> b # foldl :: (b -> a -> b) -> b -> DeclHead a -> b # foldl' :: (b -> a -> b) -> b -> DeclHead a -> b # foldr1 :: (a -> a -> a) -> DeclHead a -> a # foldl1 :: (a -> a -> a) -> DeclHead a -> a # toList :: DeclHead a -> [a] # null :: DeclHead a -> Bool # length :: DeclHead a -> Int # elem :: Eq a => a -> DeclHead a -> Bool # maximum :: Ord a => DeclHead a -> a # minimum :: Ord a => DeclHead a -> a # sum :: Num a => DeclHead a -> a # product :: Num a => DeclHead a -> a #
Foldable InstRule
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InstRule m -> m # foldMap :: Monoid m => (a -> m) -> InstRule a -> m # foldr :: (a -> b -> b) -> b -> InstRule a -> b # foldr' :: (a -> b -> b) -> b -> InstRule a -> b # foldl :: (b -> a -> b) -> b -> InstRule a -> b # foldl' :: (b -> a -> b) -> b -> InstRule a -> b # foldr1 :: (a -> a -> a) -> InstRule a -> a # foldl1 :: (a -> a -> a) -> InstRule a -> a # toList :: InstRule a -> [a] # null :: InstRule a -> Bool # length :: InstRule a -> Int # elem :: Eq a => a -> InstRule a -> Bool # maximum :: Ord a => InstRule a -> a # minimum :: Ord a => InstRule a -> a # sum :: Num a => InstRule a -> a # product :: Num a => InstRule a -> a #
Foldable InstHead
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InstHead m -> m # foldMap :: Monoid m => (a -> m) -> InstHead a -> m # foldr :: (a -> b -> b) -> b -> InstHead a -> b # foldr' :: (a -> b -> b) -> b -> InstHead a -> b # foldl :: (b -> a -> b) -> b -> InstHead a -> b # foldl' :: (b -> a -> b) -> b -> InstHead a -> b # foldr1 :: (a -> a -> a) -> InstHead a -> a # foldl1 :: (a -> a -> a) -> InstHead a -> a # toList :: InstHead a -> [a] # null :: InstHead a -> Bool # length :: InstHead a -> Int # elem :: Eq a => a -> InstHead a -> Bool # maximum :: Ord a => InstHead a -> a # minimum :: Ord a => InstHead a -> a # sum :: Num a => InstHead a -> a # product :: Num a => InstHead a -> a #
Foldable Deriving
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Deriving m -> m # foldMap :: Monoid m => (a -> m) -> Deriving a -> m # foldr :: (a -> b -> b) -> b -> Deriving a -> b # foldr' :: (a -> b -> b) -> b -> Deriving a -> b # foldl :: (b -> a -> b) -> b -> Deriving a -> b # foldl' :: (b -> a -> b) -> b -> Deriving a -> b # foldr1 :: (a -> a -> a) -> Deriving a -> a # foldl1 :: (a -> a -> a) -> Deriving a -> a # toList :: Deriving a -> [a] # null :: Deriving a -> Bool # length :: Deriving a -> Int # elem :: Eq a => a -> Deriving a -> Bool # maximum :: Ord a => Deriving a -> a # minimum :: Ord a => Deriving a -> a # sum :: Num a => Deriving a -> a # product :: Num a => Deriving a -> a #
Foldable DerivStrategy
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => DerivStrategy m -> m # foldMap :: Monoid m => (a -> m) -> DerivStrategy a -> m # foldr :: (a -> b -> b) -> b -> DerivStrategy a -> b # foldr' :: (a -> b -> b) -> b -> DerivStrategy a -> b # foldl :: (b -> a -> b) -> b -> DerivStrategy a -> b # foldl' :: (b -> a -> b) -> b -> DerivStrategy a -> b # foldr1 :: (a -> a -> a) -> DerivStrategy a -> a # foldl1 :: (a -> a -> a) -> DerivStrategy a -> a # toList :: DerivStrategy a -> [a] # null :: DerivStrategy a -> Bool # length :: DerivStrategy a -> Int # elem :: Eq a => a -> DerivStrategy a -> Bool # maximum :: Ord a => DerivStrategy a -> a # minimum :: Ord a => DerivStrategy a -> a # sum :: Num a => DerivStrategy a -> a # product :: Num a => DerivStrategy a -> a #
Foldable Binds
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Binds m -> m # foldMap :: Monoid m => (a -> m) -> Binds a -> m # foldr :: (a -> b -> b) -> b -> Binds a -> b # foldr' :: (a -> b -> b) -> b -> Binds a -> b # foldl :: (b -> a -> b) -> b -> Binds a -> b # foldl' :: (b -> a -> b) -> b -> Binds a -> b # foldr1 :: (a -> a -> a) -> Binds a -> a # foldl1 :: (a -> a -> a) -> Binds a -> a # toList :: Binds a -> [a] # null :: Binds a -> Bool # length :: Binds a -> Int # elem :: Eq a => a -> Binds a -> Bool # maximum :: Ord a => Binds a -> a # minimum :: Ord a => Binds a -> a # sum :: Num a => Binds a -> a # product :: Num a => Binds a -> a #
Foldable IPBind
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => IPBind m -> m # foldMap :: Monoid m => (a -> m) -> IPBind a -> m # foldr :: (a -> b -> b) -> b -> IPBind a -> b # foldr' :: (a -> b -> b) -> b -> IPBind a -> b # foldl :: (b -> a -> b) -> b -> IPBind a -> b # foldl' :: (b -> a -> b) -> b -> IPBind a -> b # foldr1 :: (a -> a -> a) -> IPBind a -> a # foldl1 :: (a -> a -> a) -> IPBind a -> a # toList :: IPBind a -> [a] # null :: IPBind a -> Bool # length :: IPBind a -> Int # elem :: Eq a => a -> IPBind a -> Bool # maximum :: Ord a => IPBind a -> a # minimum :: Ord a => IPBind a -> a # sum :: Num a => IPBind a -> a # product :: Num a => IPBind a -> a #
Foldable Match
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Match m -> m # foldMap :: Monoid m => (a -> m) -> Match a -> m # foldr :: (a -> b -> b) -> b -> Match a -> b # foldr' :: (a -> b -> b) -> b -> Match a -> b # foldl :: (b -> a -> b) -> b -> Match a -> b # foldl' :: (b -> a -> b) -> b -> Match a -> b # foldr1 :: (a -> a -> a) -> Match a -> a # foldl1 :: (a -> a -> a) -> Match a -> a # toList :: Match a -> [a] # null :: Match a -> Bool # length :: Match a -> Int # elem :: Eq a => a -> Match a -> Bool # maximum :: Ord a => Match a -> a # minimum :: Ord a => Match a -> a # sum :: Num a => Match a -> a # product :: Num a => Match a -> a #
Foldable QualConDecl
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QualConDecl m -> m # foldMap :: Monoid m => (a -> m) -> QualConDecl a -> m # foldr :: (a -> b -> b) -> b -> QualConDecl a -> b # foldr' :: (a -> b -> b) -> b -> QualConDecl a -> b # foldl :: (b -> a -> b) -> b -> QualConDecl a -> b # foldl' :: (b -> a -> b) -> b -> QualConDecl a -> b # foldr1 :: (a -> a -> a) -> QualConDecl a -> a # foldl1 :: (a -> a -> a) -> QualConDecl a -> a # toList :: QualConDecl a -> [a] # null :: QualConDecl a -> Bool # length :: QualConDecl a -> Int # elem :: Eq a => a -> QualConDecl a -> Bool # maximum :: Ord a => QualConDecl a -> a # minimum :: Ord a => QualConDecl a -> a # sum :: Num a => QualConDecl a -> a # product :: Num a => QualConDecl a -> a #
Foldable ConDecl
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ConDecl m -> m # foldMap :: Monoid m => (a -> m) -> ConDecl a -> m # foldr :: (a -> b -> b) -> b -> ConDecl a -> b # foldr' :: (a -> b -> b) -> b -> ConDecl a -> b # foldl :: (b -> a -> b) -> b -> ConDecl a -> b # foldl' :: (b -> a -> b) -> b -> ConDecl a -> b # foldr1 :: (a -> a -> a) -> ConDecl a -> a # foldl1 :: (a -> a -> a) -> ConDecl a -> a # toList :: ConDecl a -> [a] # null :: ConDecl a -> Bool # length :: ConDecl a -> Int # elem :: Eq a => a -> ConDecl a -> Bool # maximum :: Ord a => ConDecl a -> a # minimum :: Ord a => ConDecl a -> a # sum :: Num a => ConDecl a -> a # product :: Num a => ConDecl a -> a #
Foldable FieldDecl
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => FieldDecl m -> m # foldMap :: Monoid m => (a -> m) -> FieldDecl a -> m # foldr :: (a -> b -> b) -> b -> FieldDecl a -> b # foldr' :: (a -> b -> b) -> b -> FieldDecl a -> b # foldl :: (b -> a -> b) -> b -> FieldDecl a -> b # foldl' :: (b -> a -> b) -> b -> FieldDecl a -> b # foldr1 :: (a -> a -> a) -> FieldDecl a -> a # foldl1 :: (a -> a -> a) -> FieldDecl a -> a # toList :: FieldDecl a -> [a] # null :: FieldDecl a -> Bool # length :: FieldDecl a -> Int # elem :: Eq a => a -> FieldDecl a -> Bool # maximum :: Ord a => FieldDecl a -> a # minimum :: Ord a => FieldDecl a -> a # sum :: Num a => FieldDecl a -> a # product :: Num a => FieldDecl a -> a #
Foldable GadtDecl
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => GadtDecl m -> m # foldMap :: Monoid m => (a -> m) -> GadtDecl a -> m # foldr :: (a -> b -> b) -> b -> GadtDecl a -> b # foldr' :: (a -> b -> b) -> b -> GadtDecl a -> b # foldl :: (b -> a -> b) -> b -> GadtDecl a -> b # foldl' :: (b -> a -> b) -> b -> GadtDecl a -> b # foldr1 :: (a -> a -> a) -> GadtDecl a -> a # foldl1 :: (a -> a -> a) -> GadtDecl a -> a # toList :: GadtDecl a -> [a] # null :: GadtDecl a -> Bool # length :: GadtDecl a -> Int # elem :: Eq a => a -> GadtDecl a -> Bool # maximum :: Ord a => GadtDecl a -> a # minimum :: Ord a => GadtDecl a -> a # sum :: Num a => GadtDecl a -> a # product :: Num a => GadtDecl a -> a #
Foldable ClassDecl
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ClassDecl m -> m # foldMap :: Monoid m => (a -> m) -> ClassDecl a -> m # foldr :: (a -> b -> b) -> b -> ClassDecl a -> b # foldr' :: (a -> b -> b) -> b -> ClassDecl a -> b # foldl :: (b -> a -> b) -> b -> ClassDecl a -> b # foldl' :: (b -> a -> b) -> b -> ClassDecl a -> b # foldr1 :: (a -> a -> a) -> ClassDecl a -> a # foldl1 :: (a -> a -> a) -> ClassDecl a -> a # toList :: ClassDecl a -> [a] # null :: ClassDecl a -> Bool # length :: ClassDecl a -> Int # elem :: Eq a => a -> ClassDecl a -> Bool # maximum :: Ord a => ClassDecl a -> a # minimum :: Ord a => ClassDecl a -> a # sum :: Num a => ClassDecl a -> a # product :: Num a => ClassDecl a -> a #
Foldable InstDecl
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => InstDecl m -> m # foldMap :: Monoid m => (a -> m) -> InstDecl a -> m # foldr :: (a -> b -> b) -> b -> InstDecl a -> b # foldr' :: (a -> b -> b) -> b -> InstDecl a -> b # foldl :: (b -> a -> b) -> b -> InstDecl a -> b # foldl' :: (b -> a -> b) -> b -> InstDecl a -> b # foldr1 :: (a -> a -> a) -> InstDecl a -> a # foldl1 :: (a -> a -> a) -> InstDecl a -> a # toList :: InstDecl a -> [a] # null :: InstDecl a -> Bool # length :: InstDecl a -> Int # elem :: Eq a => a -> InstDecl a -> Bool # maximum :: Ord a => InstDecl a -> a # minimum :: Ord a => InstDecl a -> a # sum :: Num a => InstDecl a -> a # product :: Num a => InstDecl a -> a #
Foldable BangType
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => BangType m -> m # foldMap :: Monoid m => (a -> m) -> BangType a -> m # foldr :: (a -> b -> b) -> b -> BangType a -> b # foldr' :: (a -> b -> b) -> b -> BangType a -> b # foldl :: (b -> a -> b) -> b -> BangType a -> b # foldl' :: (b -> a -> b) -> b -> BangType a -> b # foldr1 :: (a -> a -> a) -> BangType a -> a # foldl1 :: (a -> a -> a) -> BangType a -> a # toList :: BangType a -> [a] # null :: BangType a -> Bool # length :: BangType a -> Int # elem :: Eq a => a -> BangType a -> Bool # maximum :: Ord a => BangType a -> a # minimum :: Ord a => BangType a -> a # sum :: Num a => BangType a -> a # product :: Num a => BangType a -> a #
Foldable Unpackedness
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Unpackedness m -> m # foldMap :: Monoid m => (a -> m) -> Unpackedness a -> m # foldr :: (a -> b -> b) -> b -> Unpackedness a -> b # foldr' :: (a -> b -> b) -> b -> Unpackedness a -> b # foldl :: (b -> a -> b) -> b -> Unpackedness a -> b # foldl' :: (b -> a -> b) -> b -> Unpackedness a -> b # foldr1 :: (a -> a -> a) -> Unpackedness a -> a # foldl1 :: (a -> a -> a) -> Unpackedness a -> a # toList :: Unpackedness a -> [a] # null :: Unpackedness a -> Bool # length :: Unpackedness a -> Int # elem :: Eq a => a -> Unpackedness a -> Bool # maximum :: Ord a => Unpackedness a -> a # minimum :: Ord a => Unpackedness a -> a # sum :: Num a => Unpackedness a -> a # product :: Num a => Unpackedness a -> a #
Foldable Rhs
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Rhs m -> m # foldMap :: Monoid m => (a -> m) -> Rhs a -> m # foldr :: (a -> b -> b) -> b -> Rhs a -> b # foldr' :: (a -> b -> b) -> b -> Rhs a -> b # foldl :: (b -> a -> b) -> b -> Rhs a -> b # foldl' :: (b -> a -> b) -> b -> Rhs a -> b # foldr1 :: (a -> a -> a) -> Rhs a -> a # foldl1 :: (a -> a -> a) -> Rhs a -> a # toList :: Rhs a -> [a] # null :: Rhs a -> Bool # length :: Rhs a -> Int # elem :: Eq a => a -> Rhs a -> Bool # maximum :: Ord a => Rhs a -> a # minimum :: Ord a => Rhs a -> a # sum :: Num a => Rhs a -> a # product :: Num a => Rhs a -> a #
Foldable GuardedRhs
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => GuardedRhs m -> m # foldMap :: Monoid m => (a -> m) -> GuardedRhs a -> m # foldr :: (a -> b -> b) -> b -> GuardedRhs a -> b # foldr' :: (a -> b -> b) -> b -> GuardedRhs a -> b # foldl :: (b -> a -> b) -> b -> GuardedRhs a -> b # foldl' :: (b -> a -> b) -> b -> GuardedRhs a -> b # foldr1 :: (a -> a -> a) -> GuardedRhs a -> a # foldl1 :: (a -> a -> a) -> GuardedRhs a -> a # toList :: GuardedRhs a -> [a] # null :: GuardedRhs a -> Bool # length :: GuardedRhs a -> Int # elem :: Eq a => a -> GuardedRhs a -> Bool # maximum :: Ord a => GuardedRhs a -> a # minimum :: Ord a => GuardedRhs a -> a # sum :: Num a => GuardedRhs a -> a # product :: Num a => GuardedRhs a -> a #
Foldable Type
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Type m -> m # foldMap :: Monoid m => (a -> m) -> Type a -> m # foldr :: (a -> b -> b) -> b -> Type a -> b # foldr' :: (a -> b -> b) -> b -> Type a -> b # foldl :: (b -> a -> b) -> b -> Type a -> b # foldl' :: (b -> a -> b) -> b -> Type a -> b # foldr1 :: (a -> a -> a) -> Type a -> a # foldl1 :: (a -> a -> a) -> Type a -> a # toList :: Type a -> [a] # null :: Type a -> Bool # length :: Type a -> Int # elem :: Eq a => a -> Type a -> Bool # maximum :: Ord a => Type a -> a # minimum :: Ord a => Type a -> a # sum :: Num a => Type a -> a # product :: Num a => Type a -> a #
Foldable MaybePromotedName
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => MaybePromotedName m -> m # foldMap :: Monoid m => (a -> m) -> MaybePromotedName a -> m # foldr :: (a -> b -> b) -> b -> MaybePromotedName a -> b # foldr' :: (a -> b -> b) -> b -> MaybePromotedName a -> b # foldl :: (b -> a -> b) -> b -> MaybePromotedName a -> b # foldl' :: (b -> a -> b) -> b -> MaybePromotedName a -> b # foldr1 :: (a -> a -> a) -> MaybePromotedName a -> a # foldl1 :: (a -> a -> a) -> MaybePromotedName a -> a # toList :: MaybePromotedName a -> [a] # null :: MaybePromotedName a -> Bool # length :: MaybePromotedName a -> Int # elem :: Eq a => a -> MaybePromotedName a -> Bool # maximum :: Ord a => MaybePromotedName a -> a # minimum :: Ord a => MaybePromotedName a -> a # sum :: Num a => MaybePromotedName a -> a # product :: Num a => MaybePromotedName a -> a #
Foldable Promoted
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Promoted m -> m # foldMap :: Monoid m => (a -> m) -> Promoted a -> m # foldr :: (a -> b -> b) -> b -> Promoted a -> b # foldr' :: (a -> b -> b) -> b -> Promoted a -> b # foldl :: (b -> a -> b) -> b -> Promoted a -> b # foldl' :: (b -> a -> b) -> b -> Promoted a -> b # foldr1 :: (a -> a -> a) -> Promoted a -> a # foldl1 :: (a -> a -> a) -> Promoted a -> a # toList :: Promoted a -> [a] # null :: Promoted a -> Bool # length :: Promoted a -> Int # elem :: Eq a => a -> Promoted a -> Bool # maximum :: Ord a => Promoted a -> a # minimum :: Ord a => Promoted a -> a # sum :: Num a => Promoted a -> a # product :: Num a => Promoted a -> a #
Foldable TyVarBind
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => TyVarBind m -> m # foldMap :: Monoid m => (a -> m) -> TyVarBind a -> m # foldr :: (a -> b -> b) -> b -> TyVarBind a -> b # foldr' :: (a -> b -> b) -> b -> TyVarBind a -> b # foldl :: (b -> a -> b) -> b -> TyVarBind a -> b # foldl' :: (b -> a -> b) -> b -> TyVarBind a -> b # foldr1 :: (a -> a -> a) -> TyVarBind a -> a # foldl1 :: (a -> a -> a) -> TyVarBind a -> a # toList :: TyVarBind a -> [a] # null :: TyVarBind a -> Bool # length :: TyVarBind a -> Int # elem :: Eq a => a -> TyVarBind a -> Bool # maximum :: Ord a => TyVarBind a -> a # minimum :: Ord a => TyVarBind a -> a # sum :: Num a => TyVarBind a -> a # product :: Num a => TyVarBind a -> a #
Foldable Kind
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Kind m -> m # foldMap :: Monoid m => (a -> m) -> Kind a -> m # foldr :: (a -> b -> b) -> b -> Kind a -> b # foldr' :: (a -> b -> b) -> b -> Kind a -> b # foldl :: (b -> a -> b) -> b -> Kind a -> b # foldl' :: (b -> a -> b) -> b -> Kind a -> b # foldr1 :: (a -> a -> a) -> Kind a -> a # foldl1 :: (a -> a -> a) -> Kind a -> a # toList :: Kind a -> [a] # null :: Kind a -> Bool # length :: Kind a -> Int # elem :: Eq a => a -> Kind a -> Bool # maximum :: Ord a => Kind a -> a # minimum :: Ord a => Kind a -> a # sum :: Num a => Kind a -> a # product :: Num a => Kind a -> a #
Foldable FunDep
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => FunDep m -> m # foldMap :: Monoid m => (a -> m) -> FunDep a -> m # foldr :: (a -> b -> b) -> b -> FunDep a -> b # foldr' :: (a -> b -> b) -> b -> FunDep a -> b # foldl :: (b -> a -> b) -> b -> FunDep a -> b # foldl' :: (b -> a -> b) -> b -> FunDep a -> b # foldr1 :: (a -> a -> a) -> FunDep a -> a # foldl1 :: (a -> a -> a) -> FunDep a -> a # toList :: FunDep a -> [a] # null :: FunDep a -> Bool # length :: FunDep a -> Int # elem :: Eq a => a -> FunDep a -> Bool # maximum :: Ord a => FunDep a -> a # minimum :: Ord a => FunDep a -> a # sum :: Num a => FunDep a -> a # product :: Num a => FunDep a -> a #
Foldable Context
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Context m -> m # foldMap :: Monoid m => (a -> m) -> Context a -> m # foldr :: (a -> b -> b) -> b -> Context a -> b # foldr' :: (a -> b -> b) -> b -> Context a -> b # foldl :: (b -> a -> b) -> b -> Context a -> b # foldl' :: (b -> a -> b) -> b -> Context a -> b # foldr1 :: (a -> a -> a) -> Context a -> a # foldl1 :: (a -> a -> a) -> Context a -> a # toList :: Context a -> [a] # null :: Context a -> Bool # length :: Context a -> Int # elem :: Eq a => a -> Context a -> Bool # maximum :: Ord a => Context a -> a # minimum :: Ord a => Context a -> a # sum :: Num a => Context a -> a # product :: Num a => Context a -> a #
Foldable Asst
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Asst m -> m # foldMap :: Monoid m => (a -> m) -> Asst a -> m # foldr :: (a -> b -> b) -> b -> Asst a -> b # foldr' :: (a -> b -> b) -> b -> Asst a -> b # foldl :: (b -> a -> b) -> b -> Asst a -> b # foldl' :: (b -> a -> b) -> b -> Asst a -> b # foldr1 :: (a -> a -> a) -> Asst a -> a # foldl1 :: (a -> a -> a) -> Asst a -> a # toList :: Asst a -> [a] # null :: Asst a -> Bool # length :: Asst a -> Int # elem :: Eq a => a -> Asst a -> Bool # maximum :: Ord a => Asst a -> a # minimum :: Ord a => Asst a -> a # sum :: Num a => Asst a -> a # product :: Num a => Asst a -> a #
Foldable Literal
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Literal m -> m # foldMap :: Monoid m => (a -> m) -> Literal a -> m # foldr :: (a -> b -> b) -> b -> Literal a -> b # foldr' :: (a -> b -> b) -> b -> Literal a -> b # foldl :: (b -> a -> b) -> b -> Literal a -> b # foldl' :: (b -> a -> b) -> b -> Literal a -> b # foldr1 :: (a -> a -> a) -> Literal a -> a # foldl1 :: (a -> a -> a) -> Literal a -> a # toList :: Literal a -> [a] # null :: Literal a -> Bool # length :: Literal a -> Int # elem :: Eq a => a -> Literal a -> Bool # maximum :: Ord a => Literal a -> a # minimum :: Ord a => Literal a -> a # sum :: Num a => Literal a -> a # product :: Num a => Literal a -> a #
Foldable Sign
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Sign m -> m # foldMap :: Monoid m => (a -> m) -> Sign a -> m # foldr :: (a -> b -> b) -> b -> Sign a -> b # foldr' :: (a -> b -> b) -> b -> Sign a -> b # foldl :: (b -> a -> b) -> b -> Sign a -> b # foldl' :: (b -> a -> b) -> b -> Sign a -> b # foldr1 :: (a -> a -> a) -> Sign a -> a # foldl1 :: (a -> a -> a) -> Sign a -> a # toList :: Sign a -> [a] # null :: Sign a -> Bool # length :: Sign a -> Int # elem :: Eq a => a -> Sign a -> Bool # maximum :: Ord a => Sign a -> a # minimum :: Ord a => Sign a -> a # sum :: Num a => Sign a -> a # product :: Num a => Sign a -> a #
Foldable Exp
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Exp m -> m # foldMap :: Monoid m => (a -> m) -> Exp a -> m # foldr :: (a -> b -> b) -> b -> Exp a -> b # foldr' :: (a -> b -> b) -> b -> Exp a -> b # foldl :: (b -> a -> b) -> b -> Exp a -> b # foldl' :: (b -> a -> b) -> b -> Exp a -> b # foldr1 :: (a -> a -> a) -> Exp a -> a # foldl1 :: (a -> a -> a) -> Exp a -> a # toList :: Exp a -> [a] # null :: Exp a -> Bool # length :: Exp a -> Int # elem :: Eq a => a -> Exp a -> Bool # maximum :: Ord a => Exp a -> a # minimum :: Ord a => Exp a -> a # sum :: Num a => Exp a -> a # product :: Num a => Exp a -> a #
Foldable XName
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => XName m -> m # foldMap :: Monoid m => (a -> m) -> XName a -> m # foldr :: (a -> b -> b) -> b -> XName a -> b # foldr' :: (a -> b -> b) -> b -> XName a -> b # foldl :: (b -> a -> b) -> b -> XName a -> b # foldl' :: (b -> a -> b) -> b -> XName a -> b # foldr1 :: (a -> a -> a) -> XName a -> a # foldl1 :: (a -> a -> a) -> XName a -> a # toList :: XName a -> [a] # null :: XName a -> Bool # length :: XName a -> Int # elem :: Eq a => a -> XName a -> Bool # maximum :: Ord a => XName a -> a # minimum :: Ord a => XName a -> a # sum :: Num a => XName a -> a # product :: Num a => XName a -> a #
Foldable XAttr
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => XAttr m -> m # foldMap :: Monoid m => (a -> m) -> XAttr a -> m # foldr :: (a -> b -> b) -> b -> XAttr a -> b # foldr' :: (a -> b -> b) -> b -> XAttr a -> b # foldl :: (b -> a -> b) -> b -> XAttr a -> b # foldl' :: (b -> a -> b) -> b -> XAttr a -> b # foldr1 :: (a -> a -> a) -> XAttr a -> a # foldl1 :: (a -> a -> a) -> XAttr a -> a # toList :: XAttr a -> [a] # null :: XAttr a -> Bool # length :: XAttr a -> Int # elem :: Eq a => a -> XAttr a -> Bool # maximum :: Ord a => XAttr a -> a # minimum :: Ord a => XAttr a -> a # sum :: Num a => XAttr a -> a # product :: Num a => XAttr a -> a #
Foldable Bracket
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Bracket m -> m # foldMap :: Monoid m => (a -> m) -> Bracket a -> m # foldr :: (a -> b -> b) -> b -> Bracket a -> b # foldr' :: (a -> b -> b) -> b -> Bracket a -> b # foldl :: (b -> a -> b) -> b -> Bracket a -> b # foldl' :: (b -> a -> b) -> b -> Bracket a -> b # foldr1 :: (a -> a -> a) -> Bracket a -> a # foldl1 :: (a -> a -> a) -> Bracket a -> a # toList :: Bracket a -> [a] # null :: Bracket a -> Bool # length :: Bracket a -> Int # elem :: Eq a => a -> Bracket a -> Bool # maximum :: Ord a => Bracket a -> a # minimum :: Ord a => Bracket a -> a # sum :: Num a => Bracket a -> a # product :: Num a => Bracket a -> a #
Foldable Splice
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Splice m -> m # foldMap :: Monoid m => (a -> m) -> Splice a -> m # foldr :: (a -> b -> b) -> b -> Splice a -> b # foldr' :: (a -> b -> b) -> b -> Splice a -> b # foldl :: (b -> a -> b) -> b -> Splice a -> b # foldl' :: (b -> a -> b) -> b -> Splice a -> b # foldr1 :: (a -> a -> a) -> Splice a -> a # foldl1 :: (a -> a -> a) -> Splice a -> a # toList :: Splice a -> [a] # null :: Splice a -> Bool # length :: Splice a -> Int # elem :: Eq a => a -> Splice a -> Bool # maximum :: Ord a => Splice a -> a # minimum :: Ord a => Splice a -> a # sum :: Num a => Splice a -> a # product :: Num a => Splice a -> a #
Foldable Safety
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Safety m -> m # foldMap :: Monoid m => (a -> m) -> Safety a -> m # foldr :: (a -> b -> b) -> b -> Safety a -> b # foldr' :: (a -> b -> b) -> b -> Safety a -> b # foldl :: (b -> a -> b) -> b -> Safety a -> b # foldl' :: (b -> a -> b) -> b -> Safety a -> b # foldr1 :: (a -> a -> a) -> Safety a -> a # foldl1 :: (a -> a -> a) -> Safety a -> a # toList :: Safety a -> [a] # null :: Safety a -> Bool # length :: Safety a -> Int # elem :: Eq a => a -> Safety a -> Bool # maximum :: Ord a => Safety a -> a # minimum :: Ord a => Safety a -> a # sum :: Num a => Safety a -> a # product :: Num a => Safety a -> a #
Foldable CallConv
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => CallConv m -> m # foldMap :: Monoid m => (a -> m) -> CallConv a -> m # foldr :: (a -> b -> b) -> b -> CallConv a -> b # foldr' :: (a -> b -> b) -> b -> CallConv a -> b # foldl :: (b -> a -> b) -> b -> CallConv a -> b # foldl' :: (b -> a -> b) -> b -> CallConv a -> b # foldr1 :: (a -> a -> a) -> CallConv a -> a # foldl1 :: (a -> a -> a) -> CallConv a -> a # toList :: CallConv a -> [a] # null :: CallConv a -> Bool # length :: CallConv a -> Int # elem :: Eq a => a -> CallConv a -> Bool # maximum :: Ord a => CallConv a -> a # minimum :: Ord a => CallConv a -> a # sum :: Num a => CallConv a -> a # product :: Num a => CallConv a -> a #
Foldable ModulePragma
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => ModulePragma m -> m # foldMap :: Monoid m => (a -> m) -> ModulePragma a -> m # foldr :: (a -> b -> b) -> b -> ModulePragma a -> b # foldr' :: (a -> b -> b) -> b -> ModulePragma a -> b # foldl :: (b -> a -> b) -> b -> ModulePragma a -> b # foldl' :: (b -> a -> b) -> b -> ModulePragma a -> b # foldr1 :: (a -> a -> a) -> ModulePragma a -> a # foldl1 :: (a -> a -> a) -> ModulePragma a -> a # toList :: ModulePragma a -> [a] # null :: ModulePragma a -> Bool # length :: ModulePragma a -> Int # elem :: Eq a => a -> ModulePragma a -> Bool # maximum :: Ord a => ModulePragma a -> a # minimum :: Ord a => ModulePragma a -> a # sum :: Num a => ModulePragma a -> a # product :: Num a => ModulePragma a -> a #
Foldable Overlap
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Overlap m -> m # foldMap :: Monoid m => (a -> m) -> Overlap a -> m # foldr :: (a -> b -> b) -> b -> Overlap a -> b # foldr' :: (a -> b -> b) -> b -> Overlap a -> b # foldl :: (b -> a -> b) -> b -> Overlap a -> b # foldl' :: (b -> a -> b) -> b -> Overlap a -> b # foldr1 :: (a -> a -> a) -> Overlap a -> a # foldl1 :: (a -> a -> a) -> Overlap a -> a # toList :: Overlap a -> [a] # null :: Overlap a -> Bool # length :: Overlap a -> Int # elem :: Eq a => a -> Overlap a -> Bool # maximum :: Ord a => Overlap a -> a # minimum :: Ord a => Overlap a -> a # sum :: Num a => Overlap a -> a # product :: Num a => Overlap a -> a #
Foldable Activation
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Activation m -> m # foldMap :: Monoid m => (a -> m) -> Activation a -> m # foldr :: (a -> b -> b) -> b -> Activation a -> b # foldr' :: (a -> b -> b) -> b -> Activation a -> b # foldl :: (b -> a -> b) -> b -> Activation a -> b # foldl' :: (b -> a -> b) -> b -> Activation a -> b # foldr1 :: (a -> a -> a) -> Activation a -> a # foldl1 :: (a -> a -> a) -> Activation a -> a # toList :: Activation a -> [a] # null :: Activation a -> Bool # length :: Activation a -> Int # elem :: Eq a => a -> Activation a -> Bool # maximum :: Ord a => Activation a -> a # minimum :: Ord a => Activation a -> a # sum :: Num a => Activation a -> a # product :: Num a => Activation a -> a #
Foldable Rule
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Rule m -> m # foldMap :: Monoid m => (a -> m) -> Rule a -> m # foldr :: (a -> b -> b) -> b -> Rule a -> b # foldr' :: (a -> b -> b) -> b -> Rule a -> b # foldl :: (b -> a -> b) -> b -> Rule a -> b # foldl' :: (b -> a -> b) -> b -> Rule a -> b # foldr1 :: (a -> a -> a) -> Rule a -> a # foldl1 :: (a -> a -> a) -> Rule a -> a # toList :: Rule a -> [a] # null :: Rule a -> Bool # length :: Rule a -> Int # elem :: Eq a => a -> Rule a -> Bool # maximum :: Ord a => Rule a -> a # minimum :: Ord a => Rule a -> a # sum :: Num a => Rule a -> a # product :: Num a => Rule a -> a #
Foldable RuleVar
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => RuleVar m -> m # foldMap :: Monoid m => (a -> m) -> RuleVar a -> m # foldr :: (a -> b -> b) -> b -> RuleVar a -> b # foldr' :: (a -> b -> b) -> b -> RuleVar a -> b # foldl :: (b -> a -> b) -> b -> RuleVar a -> b # foldl' :: (b -> a -> b) -> b -> RuleVar a -> b # foldr1 :: (a -> a -> a) -> RuleVar a -> a # foldl1 :: (a -> a -> a) -> RuleVar a -> a # toList :: RuleVar a -> [a] # null :: RuleVar a -> Bool # length :: RuleVar a -> Int # elem :: Eq a => a -> RuleVar a -> Bool # maximum :: Ord a => RuleVar a -> a # minimum :: Ord a => RuleVar a -> a # sum :: Num a => RuleVar a -> a # product :: Num a => RuleVar a -> a #
Foldable WarningText
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => WarningText m -> m # foldMap :: Monoid m => (a -> m) -> WarningText a -> m # foldr :: (a -> b -> b) -> b -> WarningText a -> b # foldr' :: (a -> b -> b) -> b -> WarningText a -> b # foldl :: (b -> a -> b) -> b -> WarningText a -> b # foldl' :: (b -> a -> b) -> b -> WarningText a -> b # foldr1 :: (a -> a -> a) -> WarningText a -> a # foldl1 :: (a -> a -> a) -> WarningText a -> a # toList :: WarningText a -> [a] # null :: WarningText a -> Bool # length :: WarningText a -> Int # elem :: Eq a => a -> WarningText a -> Bool # maximum :: Ord a => WarningText a -> a # minimum :: Ord a => WarningText a -> a # sum :: Num a => WarningText a -> a # product :: Num a => WarningText a -> a #
Foldable Pat
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Pat m -> m # foldMap :: Monoid m => (a -> m) -> Pat a -> m # foldr :: (a -> b -> b) -> b -> Pat a -> b # foldr' :: (a -> b -> b) -> b -> Pat a -> b # foldl :: (b -> a -> b) -> b -> Pat a -> b # foldl' :: (b -> a -> b) -> b -> Pat a -> b # foldr1 :: (a -> a -> a) -> Pat a -> a # foldl1 :: (a -> a -> a) -> Pat a -> a # toList :: Pat a -> [a] # null :: Pat a -> Bool # length :: Pat a -> Int # elem :: Eq a => a -> Pat a -> Bool # maximum :: Ord a => Pat a -> a # minimum :: Ord a => Pat a -> a # sum :: Num a => Pat a -> a # product :: Num a => Pat a -> a #
Foldable PXAttr
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => PXAttr m -> m # foldMap :: Monoid m => (a -> m) -> PXAttr a -> m # foldr :: (a -> b -> b) -> b -> PXAttr a -> b # foldr' :: (a -> b -> b) -> b -> PXAttr a -> b # foldl :: (b -> a -> b) -> b -> PXAttr a -> b # foldl' :: (b -> a -> b) -> b -> PXAttr a -> b # foldr1 :: (a -> a -> a) -> PXAttr a -> a # foldl1 :: (a -> a -> a) -> PXAttr a -> a # toList :: PXAttr a -> [a] # null :: PXAttr a -> Bool # length :: PXAttr a -> Int # elem :: Eq a => a -> PXAttr a -> Bool # maximum :: Ord a => PXAttr a -> a # minimum :: Ord a => PXAttr a -> a # sum :: Num a => PXAttr a -> a # product :: Num a => PXAttr a -> a #
Foldable RPatOp
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => RPatOp m -> m # foldMap :: Monoid m => (a -> m) -> RPatOp a -> m # foldr :: (a -> b -> b) -> b -> RPatOp a -> b # foldr' :: (a -> b -> b) -> b -> RPatOp a -> b # foldl :: (b -> a -> b) -> b -> RPatOp a -> b # foldl' :: (b -> a -> b) -> b -> RPatOp a -> b # foldr1 :: (a -> a -> a) -> RPatOp a -> a # foldl1 :: (a -> a -> a) -> RPatOp a -> a # toList :: RPatOp a -> [a] # null :: RPatOp a -> Bool # length :: RPatOp a -> Int # elem :: Eq a => a -> RPatOp a -> Bool # maximum :: Ord a => RPatOp a -> a # minimum :: Ord a => RPatOp a -> a # sum :: Num a => RPatOp a -> a # product :: Num a => RPatOp a -> a #
Foldable RPat
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => RPat m -> m # foldMap :: Monoid m => (a -> m) -> RPat a -> m # foldr :: (a -> b -> b) -> b -> RPat a -> b # foldr' :: (a -> b -> b) -> b -> RPat a -> b # foldl :: (b -> a -> b) -> b -> RPat a -> b # foldl' :: (b -> a -> b) -> b -> RPat a -> b # foldr1 :: (a -> a -> a) -> RPat a -> a # foldl1 :: (a -> a -> a) -> RPat a -> a # toList :: RPat a -> [a] # null :: RPat a -> Bool # length :: RPat a -> Int # elem :: Eq a => a -> RPat a -> Bool # maximum :: Ord a => RPat a -> a # minimum :: Ord a => RPat a -> a # sum :: Num a => RPat a -> a # product :: Num a => RPat a -> a #
Foldable PatField
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => PatField m -> m # foldMap :: Monoid m => (a -> m) -> PatField a -> m # foldr :: (a -> b -> b) -> b -> PatField a -> b # foldr' :: (a -> b -> b) -> b -> PatField a -> b # foldl :: (b -> a -> b) -> b -> PatField a -> b # foldl' :: (b -> a -> b) -> b -> PatField a -> b # foldr1 :: (a -> a -> a) -> PatField a -> a # foldl1 :: (a -> a -> a) -> PatField a -> a # toList :: PatField a -> [a] # null :: PatField a -> Bool # length :: PatField a -> Int # elem :: Eq a => a -> PatField a -> Bool # maximum :: Ord a => PatField a -> a # minimum :: Ord a => PatField a -> a # sum :: Num a => PatField a -> a # product :: Num a => PatField a -> a #
Foldable Stmt
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Stmt m -> m # foldMap :: Monoid m => (a -> m) -> Stmt a -> m # foldr :: (a -> b -> b) -> b -> Stmt a -> b # foldr' :: (a -> b -> b) -> b -> Stmt a -> b # foldl :: (b -> a -> b) -> b -> Stmt a -> b # foldl' :: (b -> a -> b) -> b -> Stmt a -> b # foldr1 :: (a -> a -> a) -> Stmt a -> a # foldl1 :: (a -> a -> a) -> Stmt a -> a # toList :: Stmt a -> [a] # null :: Stmt a -> Bool # length :: Stmt a -> Int # elem :: Eq a => a -> Stmt a -> Bool # maximum :: Ord a => Stmt a -> a # minimum :: Ord a => Stmt a -> a # sum :: Num a => Stmt a -> a # product :: Num a => Stmt a -> a #
Foldable QualStmt
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => QualStmt m -> m # foldMap :: Monoid m => (a -> m) -> QualStmt a -> m # foldr :: (a -> b -> b) -> b -> QualStmt a -> b # foldr' :: (a -> b -> b) -> b -> QualStmt a -> b # foldl :: (b -> a -> b) -> b -> QualStmt a -> b # foldl' :: (b -> a -> b) -> b -> QualStmt a -> b # foldr1 :: (a -> a -> a) -> QualStmt a -> a # foldl1 :: (a -> a -> a) -> QualStmt a -> a # toList :: QualStmt a -> [a] # null :: QualStmt a -> Bool # length :: QualStmt a -> Int # elem :: Eq a => a -> QualStmt a -> Bool # maximum :: Ord a => QualStmt a -> a # minimum :: Ord a => QualStmt a -> a # sum :: Num a => QualStmt a -> a # product :: Num a => QualStmt a -> a #
Foldable FieldUpdate
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => FieldUpdate m -> m # foldMap :: Monoid m => (a -> m) -> FieldUpdate a -> m # foldr :: (a -> b -> b) -> b -> FieldUpdate a -> b # foldr' :: (a -> b -> b) -> b -> FieldUpdate a -> b # foldl :: (b -> a -> b) -> b -> FieldUpdate a -> b # foldl' :: (b -> a -> b) -> b -> FieldUpdate a -> b # foldr1 :: (a -> a -> a) -> FieldUpdate a -> a # foldl1 :: (a -> a -> a) -> FieldUpdate a -> a # toList :: FieldUpdate a -> [a] # null :: FieldUpdate a -> Bool # length :: FieldUpdate a -> Int # elem :: Eq a => a -> FieldUpdate a -> Bool # maximum :: Ord a => FieldUpdate a -> a # minimum :: Ord a => FieldUpdate a -> a # sum :: Num a => FieldUpdate a -> a # product :: Num a => FieldUpdate a -> a #
Foldable Alt
Instance details Defined in Language.Haskell.Exts.Syntax Methods fold :: Monoid m => Alt m -> m # foldMap :: Monoid m => (a -> m) -> Alt a -> m # foldr :: (a -> b -> b) -> b -> Alt a -> b # foldr' :: (a -> b -> b) -> b -> Alt a -> b # foldl :: (b -> a -> b) -> b -> Alt a -> b # foldl' :: (b -> a -> b) -> b -> Alt a -> b # foldr1 :: (a -> a -> a) -> Alt a -> a # foldl1 :: (a -> a -> a) -> Alt a -> a # toList :: Alt a -> [a] # null :: Alt a -> Bool # length :: Alt a -> Int # elem :: Eq a => a -> Alt a -> Bool # maximum :: Ord a => Alt a -> a # minimum :: Ord a => Alt a -> a # sum :: Num a => Alt a -> a # product :: Num a => Alt a -> a #
Foldable Heap
Instance details Defined in Data.Heap Methods fold :: Monoid m => Heap m -> m # foldMap :: Monoid m => (a -> m) -> Heap a -> m # foldr :: (a -> b -> b) -> b -> Heap a -> b # foldr' :: (a -> b -> b) -> b -> Heap a -> b # foldl :: (b -> a -> b) -> b -> Heap a -> b # foldl' :: (b -> a -> b) -> b -> Heap a -> b # foldr1 :: (a -> a -> a) -> Heap a -> a # foldl1 :: (a -> a -> a) -> Heap a -> a # toList :: Heap a -> [a] # null :: Heap a -> Bool # length :: Heap a -> Int # elem :: Eq a => a -> Heap a -> Bool # maximum :: Ord a => Heap a -> a # minimum :: Ord a => Heap a -> a # sum :: Num a => Heap a -> a # product :: Num a => Heap a -> a #
Foldable HashSet
Instance details Defined in Data.HashSet Methods fold :: Monoid m => HashSet m -> m # foldMap :: Monoid m => (a -> m) -> HashSet a -> m # foldr :: (a -> b -> b) -> b -> HashSet a -> b # foldr' :: (a -> b -> b) -> b -> HashSet a -> b # foldl :: (b -> a -> b) -> b -> HashSet a -> b # foldl' :: (b -> a -> b) -> b -> HashSet a -> b # foldr1 :: (a -> a -> a) -> HashSet a -> a # foldl1 :: (a -> a -> a) -> HashSet a -> a # toList :: HashSet a -> [a] # null :: HashSet a -> Bool # length :: HashSet a -> Int # elem :: Eq a => a -> HashSet a -> Bool # maximum :: Ord a => HashSet a -> a # minimum :: Ord a => HashSet a -> a # sum :: Num a => HashSet a -> a # product :: Num a => HashSet a -> a #
Foldable Vector
Instance details Defined in Data.Vector Methods fold :: Monoid m => Vector m -> m # foldMap :: Monoid m => (a -> m) -> Vector a -> m # foldr :: (a -> b -> b) -> b -> Vector a -> b # foldr' :: (a -> b -> b) -> b -> Vector a -> b # foldl :: (b -> a -> b) -> b -> Vector a -> b # foldl' :: (b -> a -> b) -> b -> Vector a -> b # foldr1 :: (a -> a -> a) -> Vector a -> a # foldl1 :: (a -> a -> a) -> Vector a -> a # toList :: Vector a -> [a] # null :: Vector a -> Bool # length :: Vector a -> Int # elem :: Eq a => a -> Vector a -> Bool # maximum :: Ord a => Vector a -> a # minimum :: Ord a => Vector a -> a # sum :: Num a => Vector a -> a # product :: Num a => Vector a -> a #
Foldable Log
Instance details Defined in Numeric.Log Methods fold :: Monoid m => Log m -> m # foldMap :: Monoid m => (a -> m) -> Log a -> m # foldr :: (a -> b -> b) -> b -> Log a -> b # foldr' :: (a -> b -> b) -> b -> Log a -> b # foldl :: (b -> a -> b) -> b -> Log a -> b # foldl' :: (b -> a -> b) -> b -> Log a -> b # foldr1 :: (a -> a -> a) -> Log a -> a # foldl1 :: (a -> a -> a) -> Log a -> a # toList :: Log a -> [a] # null :: Log a -> Bool # length :: Log a -> Int # elem :: Eq a => a -> Log a -> Bool # maximum :: Ord a => Log a -> a # minimum :: Ord a => Log a -> a # sum :: Num a => Log a -> a # product :: Num a => Log a -> a #
Foldable MultiSet
Instance details Defined in Data.MultiSet Methods fold :: Monoid m => MultiSet m -> m # foldMap :: Monoid m => (a -> m) -> MultiSet a -> m # foldr :: (a -> b -> b) -> b -> MultiSet a -> b # foldr' :: (a -> b -> b) -> b -> MultiSet a -> b # foldl :: (b -> a -> b) -> b -> MultiSet a -> b # foldl' :: (b -> a -> b) -> b -> MultiSet a -> b # foldr1 :: (a -> a -> a) -> MultiSet a -> a # foldl1 :: (a -> a -> a) -> MultiSet a -> a # toList :: MultiSet a -> [a] # null :: MultiSet a -> Bool # length :: MultiSet a -> Int # elem :: Eq a => a -> MultiSet a -> Bool # maximum :: Ord a => MultiSet a -> a # minimum :: Ord a => MultiSet a -> a # sum :: Num a => MultiSet a -> a # product :: Num a => MultiSet a -> a #
Foldable SimpleDocStream	Collect all annotations from a document.
Instance details Defined in Data.Text.Prettyprint.Doc.Internal Methods fold :: Monoid m => SimpleDocStream m -> m # foldMap :: Monoid m => (a -> m) -> SimpleDocStream a -> m # foldr :: (a -> b -> b) -> b -> SimpleDocStream a -> b # foldr' :: (a -> b -> b) -> b -> SimpleDocStream a -> b # foldl :: (b -> a -> b) -> b -> SimpleDocStream a -> b # foldl' :: (b -> a -> b) -> b -> SimpleDocStream a -> b # foldr1 :: (a -> a -> a) -> SimpleDocStream a -> a # foldl1 :: (a -> a -> a) -> SimpleDocStream a -> a # toList :: SimpleDocStream a -> [a] # null :: SimpleDocStream a -> Bool # length :: SimpleDocStream a -> Int # elem :: Eq a => a -> SimpleDocStream a -> Bool # maximum :: Ord a => SimpleDocStream a -> a # minimum :: Ord a => SimpleDocStream a -> a # sum :: Num a => SimpleDocStream a -> a # product :: Num a => SimpleDocStream a -> a #
Foldable SmallArray
Instance details Defined in Data.Primitive.SmallArray Methods fold :: Monoid m => SmallArray m -> m # foldMap :: Monoid m => (a -> m) -> SmallArray a -> m # foldr :: (a -> b -> b) -> b -> SmallArray a -> b # foldr' :: (a -> b -> b) -> b -> SmallArray a -> b # foldl :: (b -> a -> b) -> b -> SmallArray a -> b # foldl' :: (b -> a -> b) -> b -> SmallArray a -> b # foldr1 :: (a -> a -> a) -> SmallArray a -> a # foldl1 :: (a -> a -> a) -> SmallArray a -> a # toList :: SmallArray a -> [a] # null :: SmallArray a -> Bool # length :: SmallArray a -> Int # elem :: Eq a => a -> SmallArray a -> Bool # maximum :: Ord a => SmallArray a -> a # minimum :: Ord a => SmallArray a -> a # sum :: Num a => SmallArray a -> a # product :: Num a => SmallArray a -> a #
Foldable Array
Instance details Defined in Data.Primitive.Array Methods fold :: Monoid m => Array m -> m # foldMap :: Monoid m => (a -> m) -> Array a -> m # foldr :: (a -> b -> b) -> b -> Array a -> b # foldr' :: (a -> b -> b) -> b -> Array a -> b # foldl :: (b -> a -> b) -> b -> Array a -> b # foldl' :: (b -> a -> b) -> b -> Array a -> b # foldr1 :: (a -> a -> a) -> Array a -> a # foldl1 :: (a -> a -> a) -> Array a -> a # toList :: Array a -> [a] # null :: Array a -> Bool # length :: Array a -> Int # elem :: Eq a => a -> Array a -> Bool # maximum :: Ord a => Array a -> a # minimum :: Ord a => Array a -> a # sum :: Num a => Array a -> a # product :: Num a => Array a -> a #
Foldable Bound
Instance details Defined in Data.Semilattice.Bound Methods fold :: Monoid m => Bound m -> m # foldMap :: Monoid m => (a -> m) -> Bound a -> m # foldr :: (a -> b -> b) -> b -> Bound a -> b # foldr' :: (a -> b -> b) -> b -> Bound a -> b # foldl :: (b -> a -> b) -> b -> Bound a -> b # foldl' :: (b -> a -> b) -> b -> Bound a -> b # foldr1 :: (a -> a -> a) -> Bound a -> a # foldl1 :: (a -> a -> a) -> Bound a -> a # toList :: Bound a -> [a] # null :: Bound a -> Bool # length :: Bound a -> Int # elem :: Eq a => a -> Bound a -> Bool # maximum :: Ord a => Bound a -> a # minimum :: Ord a => Bound a -> a # sum :: Num a => Bound a -> a # product :: Num a => Bound a -> a #
Foldable Order
Instance details Defined in Data.Semilattice.Order Methods fold :: Monoid m => Order m -> m # foldMap :: Monoid m => (a -> m) -> Order a -> m # foldr :: (a -> b -> b) -> b -> Order a -> b # foldr' :: (a -> b -> b) -> b -> Order a -> b # foldl :: (b -> a -> b) -> b -> Order a -> b # foldl' :: (b -> a -> b) -> b -> Order a -> b # foldr1 :: (a -> a -> a) -> Order a -> a # foldl1 :: (a -> a -> a) -> Order a -> a # toList :: Order a -> [a] # null :: Order a -> Bool # length :: Order a -> Int # elem :: Eq a => a -> Order a -> Bool # maximum :: Ord a => Order a -> a # minimum :: Ord a => Order a -> a # sum :: Num a => Order a -> a # product :: Num a => Order a -> a #
Foldable Meeting
Instance details Defined in Data.Semilattice.Meet Methods fold :: Monoid m => Meeting m -> m # foldMap :: Monoid m => (a -> m) -> Meeting a -> m # foldr :: (a -> b -> b) -> b -> Meeting a -> b # foldr' :: (a -> b -> b) -> b -> Meeting a -> b # foldl :: (b -> a -> b) -> b -> Meeting a -> b # foldl' :: (b -> a -> b) -> b -> Meeting a -> b # foldr1 :: (a -> a -> a) -> Meeting a -> a # foldl1 :: (a -> a -> a) -> Meeting a -> a # toList :: Meeting a -> [a] # null :: Meeting a -> Bool # length :: Meeting a -> Int # elem :: Eq a => a -> Meeting a -> Bool # maximum :: Ord a => Meeting a -> a # minimum :: Ord a => Meeting a -> a # sum :: Num a => Meeting a -> a # product :: Num a => Meeting a -> a #
Foldable GreaterThan
Instance details Defined in Data.Semilattice.Meet Methods fold :: Monoid m => GreaterThan m -> m # foldMap :: Monoid m => (a -> m) -> GreaterThan a -> m # foldr :: (a -> b -> b) -> b -> GreaterThan a -> b # foldr' :: (a -> b -> b) -> b -> GreaterThan a -> b # foldl :: (b -> a -> b) -> b -> GreaterThan a -> b # foldl' :: (b -> a -> b) -> b -> GreaterThan a -> b # foldr1 :: (a -> a -> a) -> GreaterThan a -> a # foldl1 :: (a -> a -> a) -> GreaterThan a -> a # toList :: GreaterThan a -> [a] # null :: GreaterThan a -> Bool # length :: GreaterThan a -> Int # elem :: Eq a => a -> GreaterThan a -> Bool # maximum :: Ord a => GreaterThan a -> a # minimum :: Ord a => GreaterThan a -> a # sum :: Num a => GreaterThan a -> a # product :: Num a => GreaterThan a -> a #
Foldable Joining
Instance details Defined in Data.Semilattice.Join Methods fold :: Monoid m => Joining m -> m # foldMap :: Monoid m => (a -> m) -> Joining a -> m # foldr :: (a -> b -> b) -> b -> Joining a -> b # foldr' :: (a -> b -> b) -> b -> Joining a -> b # foldl :: (b -> a -> b) -> b -> Joining a -> b # foldl' :: (b -> a -> b) -> b -> Joining a -> b # foldr1 :: (a -> a -> a) -> Joining a -> a # foldl1 :: (a -> a -> a) -> Joining a -> a # toList :: Joining a -> [a] # null :: Joining a -> Bool # length :: Joining a -> Int # elem :: Eq a => a -> Joining a -> Bool # maximum :: Ord a => Joining a -> a # minimum :: Ord a => Joining a -> a # sum :: Num a => Joining a -> a # product :: Num a => Joining a -> a #
Foldable LessThan
Instance details Defined in Data.Semilattice.Join Methods fold :: Monoid m => LessThan m -> m # foldMap :: Monoid m => (a -> m) -> LessThan a -> m # foldr :: (a -> b -> b) -> b -> LessThan a -> b # foldr' :: (a -> b -> b) -> b -> LessThan a -> b # foldl :: (b -> a -> b) -> b -> LessThan a -> b # foldl' :: (b -> a -> b) -> b -> LessThan a -> b # foldr1 :: (a -> a -> a) -> LessThan a -> a # foldl1 :: (a -> a -> a) -> LessThan a -> a # toList :: LessThan a -> [a] # null :: LessThan a -> Bool # length :: LessThan a -> Int # elem :: Eq a => a -> LessThan a -> Bool # maximum :: Ord a => LessThan a -> a # minimum :: Ord a => LessThan a -> a # sum :: Num a => LessThan a -> a # product :: Num a => LessThan a -> a #
Foldable Forest
Instance details Defined in Data.Heap Methods fold :: Monoid m => Forest m -> m # foldMap :: Monoid m => (a -> m) -> Forest a -> m # foldr :: (a -> b -> b) -> b -> Forest a -> b # foldr' :: (a -> b -> b) -> b -> Forest a -> b # foldl :: (b -> a -> b) -> b -> Forest a -> b # foldl' :: (b -> a -> b) -> b -> Forest a -> b # foldr1 :: (a -> a -> a) -> Forest a -> a # foldl1 :: (a -> a -> a) -> Forest a -> a # toList :: Forest a -> [a] # null :: Forest a -> Bool # length :: Forest a -> Int # elem :: Eq a => a -> Forest a -> Bool # maximum :: Ord a => Forest a -> a # minimum :: Ord a => Forest a -> a # sum :: Num a => Forest a -> a # product :: Num a => Forest a -> a #
Foldable Tree
Instance details Defined in Data.Heap Methods fold :: Monoid m => Tree m -> m # foldMap :: Monoid m => (a -> m) -> Tree a -> m # foldr :: (a -> b -> b) -> b -> Tree a -> b # foldr' :: (a -> b -> b) -> b -> Tree a -> b # foldl :: (b -> a -> b) -> b -> Tree a -> b # foldl' :: (b -> a -> b) -> b -> Tree a -> b # foldr1 :: (a -> a -> a) -> Tree a -> a # foldl1 :: (a -> a -> a) -> Tree a -> a # toList :: Tree a -> [a] # null :: Tree a -> Bool # length :: Tree a -> Int # elem :: Eq a => a -> Tree a -> Bool # maximum :: Ord a => Tree a -> a # minimum :: Ord a => Tree a -> a # sum :: Num a => Tree a -> a # product :: Num a => Tree a -> a #
Foldable P
Instance details Defined in Data.HashMap.Strict.InsOrd Methods fold :: Monoid m => P m -> m # foldMap :: Monoid m => (a -> m) -> P a -> m # foldr :: (a -> b -> b) -> b -> P a -> b # foldr' :: (a -> b -> b) -> b -> P a -> b # foldl :: (b -> a -> b) -> b -> P a -> b # foldl' :: (b -> a -> b) -> b -> P a -> b # foldr1 :: (a -> a -> a) -> P a -> a # foldl1 :: (a -> a -> a) -> P a -> a # toList :: P a -> [a] # null :: P a -> Bool # length :: P a -> Int # elem :: Eq a => a -> P a -> Bool # maximum :: Ord a => P a -> a # minimum :: Ord a => P a -> a # sum :: Num a => P a -> a # product :: Num a => P a -> a #
Foldable (Either a)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Either a m -> m # foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Either a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Either a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Either a a0 -> a0 # toList :: Either a a0 -> [a0] # null :: Either a a0 -> Bool # length :: Either a a0 -> Int # elem :: Eq a0 => a0 -> Either a a0 -> Bool # maximum :: Ord a0 => Either a a0 -> a0 # minimum :: Ord a0 => Either a a0 -> a0 # sum :: Num a0 => Either a a0 -> a0 # product :: Num a0 => Either a a0 -> a0 #
Foldable (V1 :: * -> *)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => V1 m -> m # foldMap :: Monoid m => (a -> m) -> V1 a -> m # foldr :: (a -> b -> b) -> b -> V1 a -> b # foldr' :: (a -> b -> b) -> b -> V1 a -> b # foldl :: (b -> a -> b) -> b -> V1 a -> b # foldl' :: (b -> a -> b) -> b -> V1 a -> b # foldr1 :: (a -> a -> a) -> V1 a -> a # foldl1 :: (a -> a -> a) -> V1 a -> a # toList :: V1 a -> [a] # null :: V1 a -> Bool # length :: V1 a -> Int # elem :: Eq a => a -> V1 a -> Bool # maximum :: Ord a => V1 a -> a # minimum :: Ord a => V1 a -> a # sum :: Num a => V1 a -> a # product :: Num a => V1 a -> a #
Foldable (U1 :: * -> *)	Since: base-4.9.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => U1 m -> m # foldMap :: Monoid m => (a -> m) -> U1 a -> m # foldr :: (a -> b -> b) -> b -> U1 a -> b # foldr' :: (a -> b -> b) -> b -> U1 a -> b # foldl :: (b -> a -> b) -> b -> U1 a -> b # foldl' :: (b -> a -> b) -> b -> U1 a -> b # foldr1 :: (a -> a -> a) -> U1 a -> a # foldl1 :: (a -> a -> a) -> U1 a -> a # toList :: U1 a -> [a] # null :: U1 a -> Bool # length :: U1 a -> Int # elem :: Eq a => a -> U1 a -> Bool # maximum :: Ord a => U1 a -> a # minimum :: Ord a => U1 a -> a # sum :: Num a => U1 a -> a # product :: Num a => U1 a -> a #
Foldable ((,) a)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (a, m) -> m # foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> m # foldr :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldr' :: (a0 -> b -> b) -> b -> (a, a0) -> b # foldl :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldl' :: (b -> a0 -> b) -> b -> (a, a0) -> b # foldr1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # foldl1 :: (a0 -> a0 -> a0) -> (a, a0) -> a0 # toList :: (a, a0) -> [a0] # null :: (a, a0) -> Bool # length :: (a, a0) -> Int # elem :: Eq a0 => a0 -> (a, a0) -> Bool # maximum :: Ord a0 => (a, a0) -> a0 # minimum :: Ord a0 => (a, a0) -> a0 # sum :: Num a0 => (a, a0) -> a0 # product :: Num a0 => (a, a0) -> a0 #
Foldable (HashMap k)
Instance details Defined in Data.HashMap.Base Methods fold :: Monoid m => HashMap k m -> m # foldMap :: Monoid m => (a -> m) -> HashMap k a -> m # foldr :: (a -> b -> b) -> b -> HashMap k a -> b # foldr' :: (a -> b -> b) -> b -> HashMap k a -> b # foldl :: (b -> a -> b) -> b -> HashMap k a -> b # foldl' :: (b -> a -> b) -> b -> HashMap k a -> b # foldr1 :: (a -> a -> a) -> HashMap k a -> a # foldl1 :: (a -> a -> a) -> HashMap k a -> a # toList :: HashMap k a -> [a] # null :: HashMap k a -> Bool # length :: HashMap k a -> Int # elem :: Eq a => a -> HashMap k a -> Bool # maximum :: Ord a => HashMap k a -> a # minimum :: Ord a => HashMap k a -> a # sum :: Num a => HashMap k a -> a # product :: Num a => HashMap k a -> a #
Foldable (Map k)
Instance details Defined in Data.Map.Internal Methods fold :: Monoid m => Map k m -> m # foldMap :: Monoid m => (a -> m) -> Map k a -> m # foldr :: (a -> b -> b) -> b -> Map k a -> b # foldr' :: (a -> b -> b) -> b -> Map k a -> b # foldl :: (b -> a -> b) -> b -> Map k a -> b # foldl' :: (b -> a -> b) -> b -> Map k a -> b # foldr1 :: (a -> a -> a) -> Map k a -> a # foldl1 :: (a -> a -> a) -> Map k a -> a # toList :: Map k a -> [a] # null :: Map k a -> Bool # length :: Map k a -> Int # elem :: Eq a => a -> Map k a -> Bool # maximum :: Ord a => Map k a -> a # minimum :: Ord a => Map k a -> a # sum :: Num a => Map k a -> a # product :: Num a => Map k a -> a #
Foldable (Array i)	Since: base-4.8.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Array i m -> m # foldMap :: Monoid m => (a -> m) -> Array i a -> m # foldr :: (a -> b -> b) -> b -> Array i a -> b # foldr' :: (a -> b -> b) -> b -> Array i a -> b # foldl :: (b -> a -> b) -> b -> Array i a -> b # foldl' :: (b -> a -> b) -> b -> Array i a -> b # foldr1 :: (a -> a -> a) -> Array i a -> a # foldl1 :: (a -> a -> a) -> Array i a -> a # toList :: Array i a -> [a] # null :: Array i a -> Bool # length :: Array i a -> Int # elem :: Eq a => a -> Array i a -> Bool # maximum :: Ord a => Array i a -> a # minimum :: Ord a => Array i a -> a # sum :: Num a => Array i a -> a # product :: Num a => Array i a -> a #
Foldable (Arg a)	Since: base-4.9.0.0
Instance details Defined in Data.Semigroup Methods fold :: Monoid m => Arg a m -> m # foldMap :: Monoid m => (a0 -> m) -> Arg a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Arg a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Arg a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Arg a a0 -> a0 # toList :: Arg a a0 -> [a0] # null :: Arg a a0 -> Bool # length :: Arg a a0 -> Int # elem :: Eq a0 => a0 -> Arg a a0 -> Bool # maximum :: Ord a0 => Arg a a0 -> a0 # minimum :: Ord a0 => Arg a a0 -> a0 # sum :: Num a0 => Arg a a0 -> a0 # product :: Num a0 => Arg a a0 -> a0 #
Foldable (Proxy :: * -> *)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Proxy m -> m # foldMap :: Monoid m => (a -> m) -> Proxy a -> m # foldr :: (a -> b -> b) -> b -> Proxy a -> b # foldr' :: (a -> b -> b) -> b -> Proxy a -> b # foldl :: (b -> a -> b) -> b -> Proxy a -> b # foldl' :: (b -> a -> b) -> b -> Proxy a -> b # foldr1 :: (a -> a -> a) -> Proxy a -> a # foldl1 :: (a -> a -> a) -> Proxy a -> a # toList :: Proxy a -> [a] # null :: Proxy a -> Bool # length :: Proxy a -> Int # elem :: Eq a => a -> Proxy a -> Bool # maximum :: Ord a => Proxy a -> a # minimum :: Ord a => Proxy a -> a # sum :: Num a => Proxy a -> a # product :: Num a => Proxy a -> a #
Foldable f => Foldable (MaybeT f)
Instance details Defined in Control.Monad.Trans.Maybe Methods fold :: Monoid m => MaybeT f m -> m # foldMap :: Monoid m => (a -> m) -> MaybeT f a -> m # foldr :: (a -> b -> b) -> b -> MaybeT f a -> b # foldr' :: (a -> b -> b) -> b -> MaybeT f a -> b # foldl :: (b -> a -> b) -> b -> MaybeT f a -> b # foldl' :: (b -> a -> b) -> b -> MaybeT f a -> b # foldr1 :: (a -> a -> a) -> MaybeT f a -> a # foldl1 :: (a -> a -> a) -> MaybeT f a -> a # toList :: MaybeT f a -> [a] # null :: MaybeT f a -> Bool # length :: MaybeT f a -> Int # elem :: Eq a => a -> MaybeT f a -> Bool # maximum :: Ord a => MaybeT f a -> a # minimum :: Ord a => MaybeT f a -> a # sum :: Num a => MaybeT f a -> a # product :: Num a => MaybeT f a -> a #
Foldable f => Foldable (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods fold :: Monoid m => Cofree f m -> m # foldMap :: Monoid m => (a -> m) -> Cofree f a -> m # foldr :: (a -> b -> b) -> b -> Cofree f a -> b # foldr' :: (a -> b -> b) -> b -> Cofree f a -> b # foldl :: (b -> a -> b) -> b -> Cofree f a -> b # foldl' :: (b -> a -> b) -> b -> Cofree f a -> b # foldr1 :: (a -> a -> a) -> Cofree f a -> a # foldl1 :: (a -> a -> a) -> Cofree f a -> a # toList :: Cofree f a -> [a] # null :: Cofree f a -> Bool # length :: Cofree f a -> Int # elem :: Eq a => a -> Cofree f a -> Bool # maximum :: Ord a => Cofree f a -> a # minimum :: Ord a => Cofree f a -> a # sum :: Num a => Cofree f a -> a # product :: Num a => Cofree f a -> a #
Foldable f => Foldable (Free f)
Instance details Defined in Control.Monad.Free Methods fold :: Monoid m => Free f m -> m # foldMap :: Monoid m => (a -> m) -> Free f a -> m # foldr :: (a -> b -> b) -> b -> Free f a -> b # foldr' :: (a -> b -> b) -> b -> Free f a -> b # foldl :: (b -> a -> b) -> b -> Free f a -> b # foldl' :: (b -> a -> b) -> b -> Free f a -> b # foldr1 :: (a -> a -> a) -> Free f a -> a # foldl1 :: (a -> a -> a) -> Free f a -> a # toList :: Free f a -> [a] # null :: Free f a -> Bool # length :: Free f a -> Int # elem :: Eq a => a -> Free f a -> Bool # maximum :: Ord a => Free f a -> a # minimum :: Ord a => Free f a -> a # sum :: Num a => Free f a -> a # product :: Num a => Free f a -> a #
Foldable (Entry p)
Instance details Defined in Data.Heap Methods fold :: Monoid m => Entry p m -> m # foldMap :: Monoid m => (a -> m) -> Entry p a -> m # foldr :: (a -> b -> b) -> b -> Entry p a -> b # foldr' :: (a -> b -> b) -> b -> Entry p a -> b # foldl :: (b -> a -> b) -> b -> Entry p a -> b # foldl' :: (b -> a -> b) -> b -> Entry p a -> b # foldr1 :: (a -> a -> a) -> Entry p a -> a # foldl1 :: (a -> a -> a) -> Entry p a -> a # toList :: Entry p a -> [a] # null :: Entry p a -> Bool # length :: Entry p a -> Int # elem :: Eq a => a -> Entry p a -> Bool # maximum :: Ord a => Entry p a -> a # minimum :: Ord a => Entry p a -> a # sum :: Num a => Entry p a -> a # product :: Num a => Entry p a -> a #
Foldable (InsOrdHashMap k)
Instance details Defined in Data.HashMap.Strict.InsOrd Methods fold :: Monoid m => InsOrdHashMap k m -> m # foldMap :: Monoid m => (a -> m) -> InsOrdHashMap k a -> m # foldr :: (a -> b -> b) -> b -> InsOrdHashMap k a -> b # foldr' :: (a -> b -> b) -> b -> InsOrdHashMap k a -> b # foldl :: (b -> a -> b) -> b -> InsOrdHashMap k a -> b # foldl' :: (b -> a -> b) -> b -> InsOrdHashMap k a -> b # foldr1 :: (a -> a -> a) -> InsOrdHashMap k a -> a # foldl1 :: (a -> a -> a) -> InsOrdHashMap k a -> a # toList :: InsOrdHashMap k a -> [a] # null :: InsOrdHashMap k a -> Bool # length :: InsOrdHashMap k a -> Int # elem :: Eq a => a -> InsOrdHashMap k a -> Bool # maximum :: Ord a => InsOrdHashMap k a -> a # minimum :: Ord a => InsOrdHashMap k a -> a # sum :: Num a => InsOrdHashMap k a -> a # product :: Num a => InsOrdHashMap k a -> a #
Foldable f => Foldable (Yoneda f)
Instance details Defined in Data.Functor.Yoneda Methods fold :: Monoid m => Yoneda f m -> m # foldMap :: Monoid m => (a -> m) -> Yoneda f a -> m # foldr :: (a -> b -> b) -> b -> Yoneda f a -> b # foldr' :: (a -> b -> b) -> b -> Yoneda f a -> b # foldl :: (b -> a -> b) -> b -> Yoneda f a -> b # foldl' :: (b -> a -> b) -> b -> Yoneda f a -> b # foldr1 :: (a -> a -> a) -> Yoneda f a -> a # foldl1 :: (a -> a -> a) -> Yoneda f a -> a # toList :: Yoneda f a -> [a] # null :: Yoneda f a -> Bool # length :: Yoneda f a -> Int # elem :: Eq a => a -> Yoneda f a -> Bool # maximum :: Ord a => Yoneda f a -> a # minimum :: Ord a => Yoneda f a -> a # sum :: Num a => Yoneda f a -> a # product :: Num a => Yoneda f a -> a #
Foldable m => Foldable (ListT m)
Instance details Defined in List.Transformer Methods fold :: Monoid m0 => ListT m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> ListT m a -> m0 # foldr :: (a -> b -> b) -> b -> ListT m a -> b # foldr' :: (a -> b -> b) -> b -> ListT m a -> b # foldl :: (b -> a -> b) -> b -> ListT m a -> b # foldl' :: (b -> a -> b) -> b -> ListT m a -> b # foldr1 :: (a -> a -> a) -> ListT m a -> a # foldl1 :: (a -> a -> a) -> ListT m a -> a # toList :: ListT m a -> [a] # null :: ListT m a -> Bool # length :: ListT m a -> Int # elem :: Eq a => a -> ListT m a -> Bool # maximum :: Ord a => ListT m a -> a # minimum :: Ord a => ListT m a -> a # sum :: Num a => ListT m a -> a # product :: Num a => ListT m a -> a #
Foldable m => Foldable (Step m)
Instance details Defined in List.Transformer Methods fold :: Monoid m0 => Step m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> Step m a -> m0 # foldr :: (a -> b -> b) -> b -> Step m a -> b # foldr' :: (a -> b -> b) -> b -> Step m a -> b # foldl :: (b -> a -> b) -> b -> Step m a -> b # foldl' :: (b -> a -> b) -> b -> Step m a -> b # foldr1 :: (a -> a -> a) -> Step m a -> a # foldl1 :: (a -> a -> a) -> Step m a -> a # toList :: Step m a -> [a] # null :: Step m a -> Bool # length :: Step m a -> Int # elem :: Eq a => a -> Step m a -> Bool # maximum :: Ord a => Step m a -> a # minimum :: Ord a => Step m a -> a # sum :: Num a => Step m a -> a # product :: Num a => Step m a -> a #
(Monad m, Foldable m) => Foldable (LogicT m)
Instance details Defined in Control.Monad.Logic Methods fold :: Monoid m0 => LogicT m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> LogicT m a -> m0 # foldr :: (a -> b -> b) -> b -> LogicT m a -> b # foldr' :: (a -> b -> b) -> b -> LogicT m a -> b # foldl :: (b -> a -> b) -> b -> LogicT m a -> b # foldl' :: (b -> a -> b) -> b -> LogicT m a -> b # foldr1 :: (a -> a -> a) -> LogicT m a -> a # foldl1 :: (a -> a -> a) -> LogicT m a -> a # toList :: LogicT m a -> [a] # null :: LogicT m a -> Bool # length :: LogicT m a -> Int # elem :: Eq a => a -> LogicT m a -> Bool # maximum :: Ord a => LogicT m a -> a # minimum :: Ord a => LogicT m a -> a # sum :: Num a => LogicT m a -> a # product :: Num a => LogicT m a -> a #
Foldable (IntPSQ p)
Instance details Defined in Data.IntPSQ.Internal Methods fold :: Monoid m => IntPSQ p m -> m # foldMap :: Monoid m => (a -> m) -> IntPSQ p a -> m # foldr :: (a -> b -> b) -> b -> IntPSQ p a -> b # foldr' :: (a -> b -> b) -> b -> IntPSQ p a -> b # foldl :: (b -> a -> b) -> b -> IntPSQ p a -> b # foldl' :: (b -> a -> b) -> b -> IntPSQ p a -> b # foldr1 :: (a -> a -> a) -> IntPSQ p a -> a # foldl1 :: (a -> a -> a) -> IntPSQ p a -> a # toList :: IntPSQ p a -> [a] # null :: IntPSQ p a -> Bool # length :: IntPSQ p a -> Int # elem :: Eq a => a -> IntPSQ p a -> Bool # maximum :: Ord a => IntPSQ p a -> a # minimum :: Ord a => IntPSQ p a -> a # sum :: Num a => IntPSQ p a -> a # product :: Num a => IntPSQ p a -> a #
Foldable f => Foldable (Rec1 f)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Rec1 f m -> m # foldMap :: Monoid m => (a -> m) -> Rec1 f a -> m # foldr :: (a -> b -> b) -> b -> Rec1 f a -> b # foldr' :: (a -> b -> b) -> b -> Rec1 f a -> b # foldl :: (b -> a -> b) -> b -> Rec1 f a -> b # foldl' :: (b -> a -> b) -> b -> Rec1 f a -> b # foldr1 :: (a -> a -> a) -> Rec1 f a -> a # foldl1 :: (a -> a -> a) -> Rec1 f a -> a # toList :: Rec1 f a -> [a] # null :: Rec1 f a -> Bool # length :: Rec1 f a -> Int # elem :: Eq a => a -> Rec1 f a -> Bool # maximum :: Ord a => Rec1 f a -> a # minimum :: Ord a => Rec1 f a -> a # sum :: Num a => Rec1 f a -> a # product :: Num a => Rec1 f a -> a #
Foldable (URec Char :: * -> *)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Char m -> m # foldMap :: Monoid m => (a -> m) -> URec Char a -> m # foldr :: (a -> b -> b) -> b -> URec Char a -> b # foldr' :: (a -> b -> b) -> b -> URec Char a -> b # foldl :: (b -> a -> b) -> b -> URec Char a -> b # foldl' :: (b -> a -> b) -> b -> URec Char a -> b # foldr1 :: (a -> a -> a) -> URec Char a -> a # foldl1 :: (a -> a -> a) -> URec Char a -> a # toList :: URec Char a -> [a] # null :: URec Char a -> Bool # length :: URec Char a -> Int # elem :: Eq a => a -> URec Char a -> Bool # maximum :: Ord a => URec Char a -> a # minimum :: Ord a => URec Char a -> a # sum :: Num a => URec Char a -> a # product :: Num a => URec Char a -> a #
Foldable (URec Double :: * -> *)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Double m -> m # foldMap :: Monoid m => (a -> m) -> URec Double a -> m # foldr :: (a -> b -> b) -> b -> URec Double a -> b # foldr' :: (a -> b -> b) -> b -> URec Double a -> b # foldl :: (b -> a -> b) -> b -> URec Double a -> b # foldl' :: (b -> a -> b) -> b -> URec Double a -> b # foldr1 :: (a -> a -> a) -> URec Double a -> a # foldl1 :: (a -> a -> a) -> URec Double a -> a # toList :: URec Double a -> [a] # null :: URec Double a -> Bool # length :: URec Double a -> Int # elem :: Eq a => a -> URec Double a -> Bool # maximum :: Ord a => URec Double a -> a # minimum :: Ord a => URec Double a -> a # sum :: Num a => URec Double a -> a # product :: Num a => URec Double a -> a #
Foldable (URec Float :: * -> *)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Float m -> m # foldMap :: Monoid m => (a -> m) -> URec Float a -> m # foldr :: (a -> b -> b) -> b -> URec Float a -> b # foldr' :: (a -> b -> b) -> b -> URec Float a -> b # foldl :: (b -> a -> b) -> b -> URec Float a -> b # foldl' :: (b -> a -> b) -> b -> URec Float a -> b # foldr1 :: (a -> a -> a) -> URec Float a -> a # foldl1 :: (a -> a -> a) -> URec Float a -> a # toList :: URec Float a -> [a] # null :: URec Float a -> Bool # length :: URec Float a -> Int # elem :: Eq a => a -> URec Float a -> Bool # maximum :: Ord a => URec Float a -> a # minimum :: Ord a => URec Float a -> a # sum :: Num a => URec Float a -> a # product :: Num a => URec Float a -> a #
Foldable (URec Int :: * -> *)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Int m -> m # foldMap :: Monoid m => (a -> m) -> URec Int a -> m # foldr :: (a -> b -> b) -> b -> URec Int a -> b # foldr' :: (a -> b -> b) -> b -> URec Int a -> b # foldl :: (b -> a -> b) -> b -> URec Int a -> b # foldl' :: (b -> a -> b) -> b -> URec Int a -> b # foldr1 :: (a -> a -> a) -> URec Int a -> a # foldl1 :: (a -> a -> a) -> URec Int a -> a # toList :: URec Int a -> [a] # null :: URec Int a -> Bool # length :: URec Int a -> Int # elem :: Eq a => a -> URec Int a -> Bool # maximum :: Ord a => URec Int a -> a # minimum :: Ord a => URec Int a -> a # sum :: Num a => URec Int a -> a # product :: Num a => URec Int a -> a #
Foldable (URec Word :: * -> *)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec Word m -> m # foldMap :: Monoid m => (a -> m) -> URec Word a -> m # foldr :: (a -> b -> b) -> b -> URec Word a -> b # foldr' :: (a -> b -> b) -> b -> URec Word a -> b # foldl :: (b -> a -> b) -> b -> URec Word a -> b # foldl' :: (b -> a -> b) -> b -> URec Word a -> b # foldr1 :: (a -> a -> a) -> URec Word a -> a # foldl1 :: (a -> a -> a) -> URec Word a -> a # toList :: URec Word a -> [a] # null :: URec Word a -> Bool # length :: URec Word a -> Int # elem :: Eq a => a -> URec Word a -> Bool # maximum :: Ord a => URec Word a -> a # minimum :: Ord a => URec Word a -> a # sum :: Num a => URec Word a -> a # product :: Num a => URec Word a -> a #
Foldable (URec (Ptr ()) :: * -> *)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => URec (Ptr ()) m -> m # foldMap :: Monoid m => (a -> m) -> URec (Ptr ()) a -> m # foldr :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldr' :: (a -> b -> b) -> b -> URec (Ptr ()) a -> b # foldl :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldl' :: (b -> a -> b) -> b -> URec (Ptr ()) a -> b # foldr1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # foldl1 :: (a -> a -> a) -> URec (Ptr ()) a -> a # toList :: URec (Ptr ()) a -> [a] # null :: URec (Ptr ()) a -> Bool # length :: URec (Ptr ()) a -> Int # elem :: Eq a => a -> URec (Ptr ()) a -> Bool # maximum :: Ord a => URec (Ptr ()) a -> a # minimum :: Ord a => URec (Ptr ()) a -> a # sum :: Num a => URec (Ptr ()) a -> a # product :: Num a => URec (Ptr ()) a -> a #
Foldable (Const m :: * -> *)	Since: base-4.7.0.0
Instance details Defined in Data.Functor.Const Methods fold :: Monoid m0 => Const m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> Const m a -> m0 # foldr :: (a -> b -> b) -> b -> Const m a -> b # foldr' :: (a -> b -> b) -> b -> Const m a -> b # foldl :: (b -> a -> b) -> b -> Const m a -> b # foldl' :: (b -> a -> b) -> b -> Const m a -> b # foldr1 :: (a -> a -> a) -> Const m a -> a # foldl1 :: (a -> a -> a) -> Const m a -> a # toList :: Const m a -> [a] # null :: Const m a -> Bool # length :: Const m a -> Int # elem :: Eq a => a -> Const m a -> Bool # maximum :: Ord a => Const m a -> a # minimum :: Ord a => Const m a -> a # sum :: Num a => Const m a -> a # product :: Num a => Const m a -> a #
Bifoldable p => Foldable (Join p)
Instance details Defined in Data.Bifunctor.Join Methods fold :: Monoid m => Join p m -> m # foldMap :: Monoid m => (a -> m) -> Join p a -> m # foldr :: (a -> b -> b) -> b -> Join p a -> b # foldr' :: (a -> b -> b) -> b -> Join p a -> b # foldl :: (b -> a -> b) -> b -> Join p a -> b # foldl' :: (b -> a -> b) -> b -> Join p a -> b # foldr1 :: (a -> a -> a) -> Join p a -> a # foldl1 :: (a -> a -> a) -> Join p a -> a # toList :: Join p a -> [a] # null :: Join p a -> Bool # length :: Join p a -> Int # elem :: Eq a => a -> Join p a -> Bool # maximum :: Ord a => Join p a -> a # minimum :: Ord a => Join p a -> a # sum :: Num a => Join p a -> a # product :: Num a => Join p a -> a #
Bifoldable p => Foldable (Fix p)
Instance details Defined in Data.Bifunctor.Fix Methods fold :: Monoid m => Fix p m -> m # foldMap :: Monoid m => (a -> m) -> Fix p a -> m # foldr :: (a -> b -> b) -> b -> Fix p a -> b # foldr' :: (a -> b -> b) -> b -> Fix p a -> b # foldl :: (b -> a -> b) -> b -> Fix p a -> b # foldl' :: (b -> a -> b) -> b -> Fix p a -> b # foldr1 :: (a -> a -> a) -> Fix p a -> a # foldl1 :: (a -> a -> a) -> Fix p a -> a # toList :: Fix p a -> [a] # null :: Fix p a -> Bool # length :: Fix p a -> Int # elem :: Eq a => a -> Fix p a -> Bool # maximum :: Ord a => Fix p a -> a # minimum :: Ord a => Fix p a -> a # sum :: Num a => Fix p a -> a # product :: Num a => Fix p a -> a #
Foldable f => Foldable (IdentityT f)
Instance details Defined in Control.Monad.Trans.Identity Methods fold :: Monoid m => IdentityT f m -> m # foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m # foldr :: (a -> b -> b) -> b -> IdentityT f a -> b # foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b # foldl :: (b -> a -> b) -> b -> IdentityT f a -> b # foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b # foldr1 :: (a -> a -> a) -> IdentityT f a -> a # foldl1 :: (a -> a -> a) -> IdentityT f a -> a # toList :: IdentityT f a -> [a] # null :: IdentityT f a -> Bool # length :: IdentityT f a -> Int # elem :: Eq a => a -> IdentityT f a -> Bool # maximum :: Ord a => IdentityT f a -> a # minimum :: Ord a => IdentityT f a -> a # sum :: Num a => IdentityT f a -> a # product :: Num a => IdentityT f a -> a #
Foldable f => Foldable (ExceptT e f)
Instance details Defined in Control.Monad.Trans.Except Methods fold :: Monoid m => ExceptT e f m -> m # foldMap :: Monoid m => (a -> m) -> ExceptT e f a -> m # foldr :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldr' :: (a -> b -> b) -> b -> ExceptT e f a -> b # foldl :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldl' :: (b -> a -> b) -> b -> ExceptT e f a -> b # foldr1 :: (a -> a -> a) -> ExceptT e f a -> a # foldl1 :: (a -> a -> a) -> ExceptT e f a -> a # toList :: ExceptT e f a -> [a] # null :: ExceptT e f a -> Bool # length :: ExceptT e f a -> Int # elem :: Eq a => a -> ExceptT e f a -> Bool # maximum :: Ord a => ExceptT e f a -> a # minimum :: Ord a => ExceptT e f a -> a # sum :: Num a => ExceptT e f a -> a # product :: Num a => ExceptT e f a -> a #
Foldable f => Foldable (FreeF f a)
Instance details Defined in Control.Monad.Trans.Free Methods fold :: Monoid m => FreeF f a m -> m # foldMap :: Monoid m => (a0 -> m) -> FreeF f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> FreeF f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> FreeF f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> FreeF f a a0 -> a0 # toList :: FreeF f a a0 -> [a0] # null :: FreeF f a a0 -> Bool # length :: FreeF f a a0 -> Int # elem :: Eq a0 => a0 -> FreeF f a a0 -> Bool # maximum :: Ord a0 => FreeF f a a0 -> a0 # minimum :: Ord a0 => FreeF f a a0 -> a0 # sum :: Num a0 => FreeF f a a0 -> a0 # product :: Num a0 => FreeF f a a0 -> a0 #
(Foldable m, Foldable f) => Foldable (FreeT f m)
Instance details Defined in Control.Monad.Trans.Free Methods fold :: Monoid m0 => FreeT f m m0 -> m0 # foldMap :: Monoid m0 => (a -> m0) -> FreeT f m a -> m0 # foldr :: (a -> b -> b) -> b -> FreeT f m a -> b # foldr' :: (a -> b -> b) -> b -> FreeT f m a -> b # foldl :: (b -> a -> b) -> b -> FreeT f m a -> b # foldl' :: (b -> a -> b) -> b -> FreeT f m a -> b # foldr1 :: (a -> a -> a) -> FreeT f m a -> a # foldl1 :: (a -> a -> a) -> FreeT f m a -> a # toList :: FreeT f m a -> [a] # null :: FreeT f m a -> Bool # length :: FreeT f m a -> Int # elem :: Eq a => a -> FreeT f m a -> Bool # maximum :: Ord a => FreeT f m a -> a # minimum :: Ord a => FreeT f m a -> a # sum :: Num a => FreeT f m a -> a # product :: Num a => FreeT f m a -> a #
Foldable f => Foldable (CofreeF f a)
Instance details Defined in Control.Comonad.Trans.Cofree Methods fold :: Monoid m => CofreeF f a m -> m # foldMap :: Monoid m => (a0 -> m) -> CofreeF f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> CofreeF f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> CofreeF f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> CofreeF f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> CofreeF f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> CofreeF f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> CofreeF f a a0 -> a0 # toList :: CofreeF f a a0 -> [a0] # null :: CofreeF f a a0 -> Bool # length :: CofreeF f a a0 -> Int # elem :: Eq a0 => a0 -> CofreeF f a a0 -> Bool # maximum :: Ord a0 => CofreeF f a a0 -> a0 # minimum :: Ord a0 => CofreeF f a a0 -> a0 # sum :: Num a0 => CofreeF f a a0 -> a0 # product :: Num a0 => CofreeF f a a0 -> a0 #
(Foldable f, Foldable w) => Foldable (CofreeT f w)
Instance details Defined in Control.Comonad.Trans.Cofree Methods fold :: Monoid m => CofreeT f w m -> m # foldMap :: Monoid m => (a -> m) -> CofreeT f w a -> m # foldr :: (a -> b -> b) -> b -> CofreeT f w a -> b # foldr' :: (a -> b -> b) -> b -> CofreeT f w a -> b # foldl :: (b -> a -> b) -> b -> CofreeT f w a -> b # foldl' :: (b -> a -> b) -> b -> CofreeT f w a -> b # foldr1 :: (a -> a -> a) -> CofreeT f w a -> a # foldl1 :: (a -> a -> a) -> CofreeT f w a -> a # toList :: CofreeT f w a -> [a] # null :: CofreeT f w a -> Bool # length :: CofreeT f w a -> Int # elem :: Eq a => a -> CofreeT f w a -> Bool # maximum :: Ord a => CofreeT f w a -> a # minimum :: Ord a => CofreeT f w a -> a # sum :: Num a => CofreeT f w a -> a # product :: Num a => CofreeT f w a -> a #
Foldable f => Foldable (ErrorT e f)
Instance details Defined in Control.Monad.Trans.Error Methods fold :: Monoid m => ErrorT e f m -> m # foldMap :: Monoid m => (a -> m) -> ErrorT e f a -> m # foldr :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldr' :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldl :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldl' :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldr1 :: (a -> a -> a) -> ErrorT e f a -> a # foldl1 :: (a -> a -> a) -> ErrorT e f a -> a # toList :: ErrorT e f a -> [a] # null :: ErrorT e f a -> Bool # length :: ErrorT e f a -> Int # elem :: Eq a => a -> ErrorT e f a -> Bool # maximum :: Ord a => ErrorT e f a -> a # minimum :: Ord a => ErrorT e f a -> a # sum :: Num a => ErrorT e f a -> a # product :: Num a => ErrorT e f a -> a #
Foldable f => Foldable (Backwards f)	Derived instance.
Instance details Defined in Control.Applicative.Backwards Methods fold :: Monoid m => Backwards f m -> m # foldMap :: Monoid m => (a -> m) -> Backwards f a -> m # foldr :: (a -> b -> b) -> b -> Backwards f a -> b # foldr' :: (a -> b -> b) -> b -> Backwards f a -> b # foldl :: (b -> a -> b) -> b -> Backwards f a -> b # foldl' :: (b -> a -> b) -> b -> Backwards f a -> b # foldr1 :: (a -> a -> a) -> Backwards f a -> a # foldl1 :: (a -> a -> a) -> Backwards f a -> a # toList :: Backwards f a -> [a] # null :: Backwards f a -> Bool # length :: Backwards f a -> Int # elem :: Eq a => a -> Backwards f a -> Bool # maximum :: Ord a => Backwards f a -> a # minimum :: Ord a => Backwards f a -> a # sum :: Num a => Backwards f a -> a # product :: Num a => Backwards f a -> a #
Foldable (Forget r a)
Instance details Defined in Data.Profunctor.Types Methods fold :: Monoid m => Forget r a m -> m # foldMap :: Monoid m => (a0 -> m) -> Forget r a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Forget r a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Forget r a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Forget r a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Forget r a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Forget r a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Forget r a a0 -> a0 # toList :: Forget r a a0 -> [a0] # null :: Forget r a a0 -> Bool # length :: Forget r a a0 -> Int # elem :: Eq a0 => a0 -> Forget r a a0 -> Bool # maximum :: Ord a0 => Forget r a a0 -> a0 # minimum :: Ord a0 => Forget r a a0 -> a0 # sum :: Num a0 => Forget r a a0 -> a0 # product :: Num a0 => Forget r a a0 -> a0 #
Foldable (Bucket k p)
Instance details Defined in Data.HashPSQ.Internal Methods fold :: Monoid m => Bucket k p m -> m # foldMap :: Monoid m => (a -> m) -> Bucket k p a -> m # foldr :: (a -> b -> b) -> b -> Bucket k p a -> b # foldr' :: (a -> b -> b) -> b -> Bucket k p a -> b # foldl :: (b -> a -> b) -> b -> Bucket k p a -> b # foldl' :: (b -> a -> b) -> b -> Bucket k p a -> b # foldr1 :: (a -> a -> a) -> Bucket k p a -> a # foldl1 :: (a -> a -> a) -> Bucket k p a -> a # toList :: Bucket k p a -> [a] # null :: Bucket k p a -> Bool # length :: Bucket k p a -> Int # elem :: Eq a => a -> Bucket k p a -> Bool # maximum :: Ord a => Bucket k p a -> a # minimum :: Ord a => Bucket k p a -> a # sum :: Num a => Bucket k p a -> a # product :: Num a => Bucket k p a -> a #
Foldable (LTree k p)
Instance details Defined in Data.OrdPSQ.Internal Methods fold :: Monoid m => LTree k p m -> m # foldMap :: Monoid m => (a -> m) -> LTree k p a -> m # foldr :: (a -> b -> b) -> b -> LTree k p a -> b # foldr' :: (a -> b -> b) -> b -> LTree k p a -> b # foldl :: (b -> a -> b) -> b -> LTree k p a -> b # foldl' :: (b -> a -> b) -> b -> LTree k p a -> b # foldr1 :: (a -> a -> a) -> LTree k p a -> a # foldl1 :: (a -> a -> a) -> LTree k p a -> a # toList :: LTree k p a -> [a] # null :: LTree k p a -> Bool # length :: LTree k p a -> Int # elem :: Eq a => a -> LTree k p a -> Bool # maximum :: Ord a => LTree k p a -> a # minimum :: Ord a => LTree k p a -> a # sum :: Num a => LTree k p a -> a # product :: Num a => LTree k p a -> a #
Foldable (Elem k p)
Instance details Defined in Data.OrdPSQ.Internal Methods fold :: Monoid m => Elem k p m -> m # foldMap :: Monoid m => (a -> m) -> Elem k p a -> m # foldr :: (a -> b -> b) -> b -> Elem k p a -> b # foldr' :: (a -> b -> b) -> b -> Elem k p a -> b # foldl :: (b -> a -> b) -> b -> Elem k p a -> b # foldl' :: (b -> a -> b) -> b -> Elem k p a -> b # foldr1 :: (a -> a -> a) -> Elem k p a -> a # foldl1 :: (a -> a -> a) -> Elem k p a -> a # toList :: Elem k p a -> [a] # null :: Elem k p a -> Bool # length :: Elem k p a -> Int # elem :: Eq a => a -> Elem k p a -> Bool # maximum :: Ord a => Elem k p a -> a # minimum :: Ord a => Elem k p a -> a # sum :: Num a => Elem k p a -> a # product :: Num a => Elem k p a -> a #
Foldable (HashPSQ k p)
Instance details Defined in Data.HashPSQ.Internal Methods fold :: Monoid m => HashPSQ k p m -> m # foldMap :: Monoid m => (a -> m) -> HashPSQ k p a -> m # foldr :: (a -> b -> b) -> b -> HashPSQ k p a -> b # foldr' :: (a -> b -> b) -> b -> HashPSQ k p a -> b # foldl :: (b -> a -> b) -> b -> HashPSQ k p a -> b # foldl' :: (b -> a -> b) -> b -> HashPSQ k p a -> b # foldr1 :: (a -> a -> a) -> HashPSQ k p a -> a # foldl1 :: (a -> a -> a) -> HashPSQ k p a -> a # toList :: HashPSQ k p a -> [a] # null :: HashPSQ k p a -> Bool # length :: HashPSQ k p a -> Int # elem :: Eq a => a -> HashPSQ k p a -> Bool # maximum :: Ord a => HashPSQ k p a -> a # minimum :: Ord a => HashPSQ k p a -> a # sum :: Num a => HashPSQ k p a -> a # product :: Num a => HashPSQ k p a -> a #
Foldable (OrdPSQ k p)
Instance details Defined in Data.OrdPSQ.Internal Methods fold :: Monoid m => OrdPSQ k p m -> m # foldMap :: Monoid m => (a -> m) -> OrdPSQ k p a -> m # foldr :: (a -> b -> b) -> b -> OrdPSQ k p a -> b # foldr' :: (a -> b -> b) -> b -> OrdPSQ k p a -> b # foldl :: (b -> a -> b) -> b -> OrdPSQ k p a -> b # foldl' :: (b -> a -> b) -> b -> OrdPSQ k p a -> b # foldr1 :: (a -> a -> a) -> OrdPSQ k p a -> a # foldl1 :: (a -> a -> a) -> OrdPSQ k p a -> a # toList :: OrdPSQ k p a -> [a] # null :: OrdPSQ k p a -> Bool # length :: OrdPSQ k p a -> Int # elem :: Eq a => a -> OrdPSQ k p a -> Bool # maximum :: Ord a => OrdPSQ k p a -> a # minimum :: Ord a => OrdPSQ k p a -> a # sum :: Num a => OrdPSQ k p a -> a # product :: Num a => OrdPSQ k p a -> a #
Foldable (Tagged s)
Instance details Defined in Data.Tagged Methods fold :: Monoid m => Tagged s m -> m # foldMap :: Monoid m => (a -> m) -> Tagged s a -> m # foldr :: (a -> b -> b) -> b -> Tagged s a -> b # foldr' :: (a -> b -> b) -> b -> Tagged s a -> b # foldl :: (b -> a -> b) -> b -> Tagged s a -> b # foldl' :: (b -> a -> b) -> b -> Tagged s a -> b # foldr1 :: (a -> a -> a) -> Tagged s a -> a # foldl1 :: (a -> a -> a) -> Tagged s a -> a # toList :: Tagged s a -> [a] # null :: Tagged s a -> Bool # length :: Tagged s a -> Int # elem :: Eq a => a -> Tagged s a -> Bool # maximum :: Ord a => Tagged s a -> a # minimum :: Ord a => Tagged s a -> a # sum :: Num a => Tagged s a -> a # product :: Num a => Tagged s a -> a #
Foldable (K1 i c :: * -> *)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => K1 i c m -> m # foldMap :: Monoid m => (a -> m) -> K1 i c a -> m # foldr :: (a -> b -> b) -> b -> K1 i c a -> b # foldr' :: (a -> b -> b) -> b -> K1 i c a -> b # foldl :: (b -> a -> b) -> b -> K1 i c a -> b # foldl' :: (b -> a -> b) -> b -> K1 i c a -> b # foldr1 :: (a -> a -> a) -> K1 i c a -> a # foldl1 :: (a -> a -> a) -> K1 i c a -> a # toList :: K1 i c a -> [a] # null :: K1 i c a -> Bool # length :: K1 i c a -> Int # elem :: Eq a => a -> K1 i c a -> Bool # maximum :: Ord a => K1 i c a -> a # minimum :: Ord a => K1 i c a -> a # sum :: Num a => K1 i c a -> a # product :: Num a => K1 i c a -> a #
(Foldable f, Foldable g) => Foldable (f :+: g)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :+: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :+: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :+: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :+: g) a -> b # foldr1 :: (a -> a -> a) -> (f :+: g) a -> a # foldl1 :: (a -> a -> a) -> (f :+: g) a -> a # toList :: (f :+: g) a -> [a] # null :: (f :+: g) a -> Bool # length :: (f :+: g) a -> Int # elem :: Eq a => a -> (f :+: g) a -> Bool # maximum :: Ord a => (f :+: g) a -> a # minimum :: Ord a => (f :+: g) a -> a # sum :: Num a => (f :+: g) a -> a # product :: Num a => (f :+: g) a -> a #
(Foldable f, Foldable g) => Foldable (f :*: g)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :: g) a -> b # foldr1 :: (a -> a -> a) -> (f :: g) a -> a # foldl1 :: (a -> a -> a) -> (f :: g) a -> a # toList :: (f :: g) a -> [a] # null :: (f :: g) a -> Bool # length :: (f :: g) a -> Int # elem :: Eq a => a -> (f :: g) a -> Bool # maximum :: Ord a => (f :: g) a -> a # minimum :: Ord a => (f :: g) a -> a # sum :: Num a => (f :: g) a -> a # product :: Num a => (f :: g) a -> a #
(Foldable f, Foldable g) => Foldable (Product f g)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Product Methods fold :: Monoid m => Product f g m -> m # foldMap :: Monoid m => (a -> m) -> Product f g a -> m # foldr :: (a -> b -> b) -> b -> Product f g a -> b # foldr' :: (a -> b -> b) -> b -> Product f g a -> b # foldl :: (b -> a -> b) -> b -> Product f g a -> b # foldl' :: (b -> a -> b) -> b -> Product f g a -> b # foldr1 :: (a -> a -> a) -> Product f g a -> a # foldl1 :: (a -> a -> a) -> Product f g a -> a # toList :: Product f g a -> [a] # null :: Product f g a -> Bool # length :: Product f g a -> Int # elem :: Eq a => a -> Product f g a -> Bool # maximum :: Ord a => Product f g a -> a # minimum :: Ord a => Product f g a -> a # sum :: Num a => Product f g a -> a # product :: Num a => Product f g a -> a #
(Foldable f, Foldable g) => Foldable (Sum f g)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Sum Methods fold :: Monoid m => Sum f g m -> m # foldMap :: Monoid m => (a -> m) -> Sum f g a -> m # foldr :: (a -> b -> b) -> b -> Sum f g a -> b # foldr' :: (a -> b -> b) -> b -> Sum f g a -> b # foldl :: (b -> a -> b) -> b -> Sum f g a -> b # foldl' :: (b -> a -> b) -> b -> Sum f g a -> b # foldr1 :: (a -> a -> a) -> Sum f g a -> a # foldl1 :: (a -> a -> a) -> Sum f g a -> a # toList :: Sum f g a -> [a] # null :: Sum f g a -> Bool # length :: Sum f g a -> Int # elem :: Eq a => a -> Sum f g a -> Bool # maximum :: Ord a => Sum f g a -> a # minimum :: Ord a => Sum f g a -> a # sum :: Num a => Sum f g a -> a # product :: Num a => Sum f g a -> a #
Foldable (Magma i t b)
Instance details Defined in Control.Lens.Internal.Magma Methods fold :: Monoid m => Magma i t b m -> m # foldMap :: Monoid m => (a -> m) -> Magma i t b a -> m # foldr :: (a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 # foldr' :: (a -> b0 -> b0) -> b0 -> Magma i t b a -> b0 # foldl :: (b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 # foldl' :: (b0 -> a -> b0) -> b0 -> Magma i t b a -> b0 # foldr1 :: (a -> a -> a) -> Magma i t b a -> a # foldl1 :: (a -> a -> a) -> Magma i t b a -> a # toList :: Magma i t b a -> [a] # null :: Magma i t b a -> Bool # length :: Magma i t b a -> Int # elem :: Eq a => a -> Magma i t b a -> Bool # maximum :: Ord a => Magma i t b a -> a # minimum :: Ord a => Magma i t b a -> a # sum :: Num a => Magma i t b a -> a # product :: Num a => Magma i t b a -> a #
Foldable f => Foldable (M1 i c f)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => M1 i c f m -> m # foldMap :: Monoid m => (a -> m) -> M1 i c f a -> m # foldr :: (a -> b -> b) -> b -> M1 i c f a -> b # foldr' :: (a -> b -> b) -> b -> M1 i c f a -> b # foldl :: (b -> a -> b) -> b -> M1 i c f a -> b # foldl' :: (b -> a -> b) -> b -> M1 i c f a -> b # foldr1 :: (a -> a -> a) -> M1 i c f a -> a # foldl1 :: (a -> a -> a) -> M1 i c f a -> a # toList :: M1 i c f a -> [a] # null :: M1 i c f a -> Bool # length :: M1 i c f a -> Int # elem :: Eq a => a -> M1 i c f a -> Bool # maximum :: Ord a => M1 i c f a -> a # minimum :: Ord a => M1 i c f a -> a # sum :: Num a => M1 i c f a -> a # product :: Num a => M1 i c f a -> a #
(Foldable f, Foldable g) => Foldable (f :.: g)
Instance details Defined in Data.Foldable Methods fold :: Monoid m => (f :.: g) m -> m # foldMap :: Monoid m => (a -> m) -> (f :.: g) a -> m # foldr :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldr' :: (a -> b -> b) -> b -> (f :.: g) a -> b # foldl :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldl' :: (b -> a -> b) -> b -> (f :.: g) a -> b # foldr1 :: (a -> a -> a) -> (f :.: g) a -> a # foldl1 :: (a -> a -> a) -> (f :.: g) a -> a # toList :: (f :.: g) a -> [a] # null :: (f :.: g) a -> Bool # length :: (f :.: g) a -> Int # elem :: Eq a => a -> (f :.: g) a -> Bool # maximum :: Ord a => (f :.: g) a -> a # minimum :: Ord a => (f :.: g) a -> a # sum :: Num a => (f :.: g) a -> a # product :: Num a => (f :.: g) a -> a #
(Foldable f, Foldable g) => Foldable (Compose f g)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Compose Methods fold :: Monoid m => Compose f g m -> m # foldMap :: Monoid m => (a -> m) -> Compose f g a -> m # foldr :: (a -> b -> b) -> b -> Compose f g a -> b # foldr' :: (a -> b -> b) -> b -> Compose f g a -> b # foldl :: (b -> a -> b) -> b -> Compose f g a -> b # foldl' :: (b -> a -> b) -> b -> Compose f g a -> b # foldr1 :: (a -> a -> a) -> Compose f g a -> a # foldl1 :: (a -> a -> a) -> Compose f g a -> a # toList :: Compose f g a -> [a] # null :: Compose f g a -> Bool # length :: Compose f g a -> Int # elem :: Eq a => a -> Compose f g a -> Bool # maximum :: Ord a => Compose f g a -> a # minimum :: Ord a => Compose f g a -> a # sum :: Num a => Compose f g a -> a # product :: Num a => Compose f g a -> a #
Bifoldable p => Foldable (WrappedBifunctor p a)
Instance details Defined in Data.Bifunctor.Wrapped Methods fold :: Monoid m => WrappedBifunctor p a m -> m # foldMap :: Monoid m => (a0 -> m) -> WrappedBifunctor p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> WrappedBifunctor p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> WrappedBifunctor p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> WrappedBifunctor p a a0 -> a0 # toList :: WrappedBifunctor p a a0 -> [a0] # null :: WrappedBifunctor p a a0 -> Bool # length :: WrappedBifunctor p a a0 -> Int # elem :: Eq a0 => a0 -> WrappedBifunctor p a a0 -> Bool # maximum :: Ord a0 => WrappedBifunctor p a a0 -> a0 # minimum :: Ord a0 => WrappedBifunctor p a a0 -> a0 # sum :: Num a0 => WrappedBifunctor p a a0 -> a0 # product :: Num a0 => WrappedBifunctor p a a0 -> a0 #
Foldable g => Foldable (Joker g a)
Instance details Defined in Data.Bifunctor.Joker Methods fold :: Monoid m => Joker g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Joker g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Joker g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Joker g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Joker g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Joker g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Joker g a a0 -> a0 # toList :: Joker g a a0 -> [a0] # null :: Joker g a a0 -> Bool # length :: Joker g a a0 -> Int # elem :: Eq a0 => a0 -> Joker g a a0 -> Bool # maximum :: Ord a0 => Joker g a a0 -> a0 # minimum :: Ord a0 => Joker g a a0 -> a0 # sum :: Num a0 => Joker g a a0 -> a0 # product :: Num a0 => Joker g a a0 -> a0 #
Bifoldable p => Foldable (Flip p a)
Instance details Defined in Data.Bifunctor.Flip Methods fold :: Monoid m => Flip p a m -> m # foldMap :: Monoid m => (a0 -> m) -> Flip p a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Flip p a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Flip p a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Flip p a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Flip p a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Flip p a a0 -> a0 # toList :: Flip p a a0 -> [a0] # null :: Flip p a a0 -> Bool # length :: Flip p a a0 -> Int # elem :: Eq a0 => a0 -> Flip p a a0 -> Bool # maximum :: Ord a0 => Flip p a a0 -> a0 # minimum :: Ord a0 => Flip p a a0 -> a0 # sum :: Num a0 => Flip p a a0 -> a0 # product :: Num a0 => Flip p a a0 -> a0 #
Foldable (Clown f a :: * -> *)
Instance details Defined in Data.Bifunctor.Clown Methods fold :: Monoid m => Clown f a m -> m # foldMap :: Monoid m => (a0 -> m) -> Clown f a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Clown f a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Clown f a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Clown f a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Clown f a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Clown f a a0 -> a0 # toList :: Clown f a a0 -> [a0] # null :: Clown f a a0 -> Bool # length :: Clown f a a0 -> Int # elem :: Eq a0 => a0 -> Clown f a a0 -> Bool # maximum :: Ord a0 => Clown f a a0 -> a0 # minimum :: Ord a0 => Clown f a a0 -> a0 # sum :: Num a0 => Clown f a a0 -> a0 # product :: Num a0 => Clown f a a0 -> a0 #
(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 # 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 #
(Bifoldable p, Foldable g) => Foldable (Biff p f g a)
Instance details Defined in Data.Bifunctor.Biff Methods fold :: Monoid m => Biff p f g a m -> m # foldMap :: Monoid m => (a0 -> m) -> Biff p f g a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Biff p f g a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Biff p f g a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Biff p f g a a0 -> a0 # toList :: Biff p f g a a0 -> [a0] # null :: Biff p f g a a0 -> Bool # length :: Biff p f g a a0 -> Int # elem :: Eq a0 => a0 -> Biff p f g a a0 -> Bool # maximum :: Ord a0 => Biff p f g a a0 -> a0 # minimum :: Ord a0 => Biff p f g a a0 -> a0 # sum :: Num a0 => Biff p f g a a0 -> a0 # product :: Num a0 => Biff p f g a a0 -> a0 #

all :: Foldable t => (a -> Bool) -> t a -> Bool #

Determines whether all elements of the structure satisfy the predicate.

and :: Foldable t => t Bool -> Bool #

and returns the conjunction of a container of Bools. For the result to be True, the container must be finite; False, however, results from a False value finitely far from the left end.

any :: Foldable t => (a -> Bool) -> t a -> Bool #

Determines whether any element of the structure satisfies the predicate.

asum :: (Foldable t, Alternative f) => t (f a) -> f a #

The sum of a collection of actions, generalizing concat.

asum [Just Hello, Nothing, Just World] Just Hello

concatMap :: Foldable t => (a -> [b]) -> t a -> [b] #

Map a function over all the elements of a container and concatenate the resulting lists.

find :: Foldable t => (a -> Bool) -> t a -> Maybe a #

The find function takes a predicate and a structure and returns the leftmost element of the structure matching the predicate, or Nothing if there is no such element.

foldBy :: Foldable t => (a -> a -> a) -> a -> t a -> a #

Fold a value using its Foldable instance using explicitly provided Monoid operations. This is like fold where the Monoid instance can be manually specified.

foldBy mappend mempty ≡ fold

>>> foldBy (++) [] ["hello","world"]
"helloworld"

foldM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b #

The foldM function is analogous to foldl, except that its result is encapsulated in a monad. Note that foldM works from left-to-right over the list arguments. This could be an issue where (>>) and the `folded function' are not commutative.

foldM f a1 [x1, x2, ..., xm]

==

do
  a2 <- f a1 x1
  a3 <- f a2 x2
  ...
  f am xm

If right-to-left evaluation is required, the input list should be reversed.

Note: foldM is the same as foldlM

foldM_ :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m () #

Like foldM, but discards the result.

foldMapBy :: Foldable t => (r -> r -> r) -> r -> (a -> r) -> t a -> r #

Fold a value using its Foldable instance using explicitly provided Monoid operations. This is like foldMap where the Monoid instance can be manually specified.

foldMapBy mappend mempty ≡ foldMap

>>> foldMapBy (+) 0 length ["hello","world"]
10

foldlM :: (Foldable t, Monad m) => (b -> a -> m b) -> b -> t a -> m b #

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

foldr1May :: Foldable t => (a -> a -> a) -> t a -> Maybe a #

foldrM :: (Foldable t, Monad m) => (a -> b -> m b) -> b -> t a -> m b #

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

for_ :: (Foldable t, Applicative f) => t a -> (a -> f b) -> f () #

for_ is traverse_ with its arguments flipped. For a version that doesn't ignore the results see for.

>>> for_ [1..4] print
1
2
3
4

group :: (Foldable f, Eq a) => f a -> [NonEmpty a] #

The group function takes a stream and returns a list of streams such that flattening the resulting list is equal to the argument. Moreover, each stream in the resulting list contains only equal elements. For example, in list notation:

'group' $ 'cycle' "Mississippi"
  = "M" : "i" : "ss" : "i" : "ss" : "i" : "pp" : "i" : "M" : "i" : ...

groupAllWith :: Ord b => (a -> b) -> [a] -> [NonEmpty a] #

groupAllWith operates like groupWith, but sorts the list first so that each equivalence class has, at most, one list in the output

groupBy :: Foldable f => (a -> a -> Bool) -> f a -> [NonEmpty a] #

groupBy operates like group, but uses the provided equality predicate instead of ==.

groupWith :: (Foldable f, Eq b) => (a -> b) -> f a -> [NonEmpty a] #

groupWith operates like group, but uses the provided projection when comparing for equality

inits :: Foldable f => f a -> NonEmpty [a] #

The inits function takes a stream xs and returns all the finite prefixes of xs.

insert :: (Foldable f, Ord a) => a -> f a -> NonEmpty a #

insert x xs inserts x into the last position in xs where it is still less than or equal to the next element. In particular, if the list is sorted beforehand, the result will also be sorted.

maximumByMay :: Foldable t => (a -> a -> Ordering) -> t a -> Maybe a #

maximumMay :: (Foldable t, Ord a) => t a -> Maybe a #

minimumByMay :: Foldable t => (a -> a -> Ordering) -> t a -> Maybe a #

minimumMay :: (Foldable t, Ord a) => t a -> Maybe a #

msum :: (Foldable t, MonadPlus m) => t (m a) -> m a #

The sum of a collection of actions, generalizing concat. As of base 4.8.0.0, msum is just asum, specialized to MonadPlus.

notElem :: (Foldable t, Eq a) => a -> t a -> Bool infix 4 #

notElem is the negation of elem.

or :: Foldable t => t Bool -> Bool #

or returns the disjunction of a container of Bools. For the result to be False, the container must be finite; True, however, results from a True value finitely far from the left end.

sequenceA_ :: (Foldable t, Applicative f) => t (f a) -> f () #

Evaluate each action in the structure from left to right, and ignore the results. For a version that doesn't ignore the results see sequenceA.

tails :: Foldable f => f a -> NonEmpty [a] #

The tails function takes a stream xs and returns all the suffixes of xs.

traverse_ :: (Foldable t, Applicative f) => (a -> f b) -> t a -> f () #

Map each element of a structure to an action, evaluate these actions from left to right, and ignore the results. For a version that doesn't ignore the results see traverse.

Foldable1

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

Methods

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

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

toNonEmpty :: t a -> NonEmpty a #

Instances

Foldable1 Par1
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Par1 m -> m # foldMap1 :: Semigroup m => (a -> m) -> Par1 a -> m # toNonEmpty :: Par1 a -> NonEmpty a #
Foldable1 Complex
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Complex m -> m # foldMap1 :: Semigroup m => (a -> m) -> Complex a -> m # toNonEmpty :: Complex a -> NonEmpty a #
Foldable1 Min
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Min m -> m # foldMap1 :: Semigroup m => (a -> m) -> Min a -> m # toNonEmpty :: Min a -> NonEmpty a #
Foldable1 Max
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Max m -> m # foldMap1 :: Semigroup m => (a -> m) -> Max a -> m # toNonEmpty :: Max a -> NonEmpty a #
Foldable1 First
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => First m -> m # foldMap1 :: Semigroup m => (a -> m) -> First a -> m # toNonEmpty :: First a -> NonEmpty a #
Foldable1 Last
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Last m -> m # foldMap1 :: Semigroup m => (a -> m) -> Last a -> m # toNonEmpty :: Last a -> NonEmpty a #
Foldable1 Identity
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Identity m -> m # foldMap1 :: Semigroup m => (a -> m) -> Identity a -> m # toNonEmpty :: Identity a -> NonEmpty a #
Foldable1 Dual
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Dual m -> m # foldMap1 :: Semigroup m => (a -> m) -> Dual a -> m # toNonEmpty :: Dual a -> NonEmpty a #
Foldable1 Sum
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Sum m -> m # foldMap1 :: Semigroup m => (a -> m) -> Sum a -> m # toNonEmpty :: Sum a -> NonEmpty a #
Foldable1 Product
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Product m -> m # foldMap1 :: Semigroup m => (a -> m) -> Product a -> m # toNonEmpty :: Product a -> NonEmpty a #
Foldable1 NonEmpty
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => NonEmpty m -> m # foldMap1 :: Semigroup m => (a -> m) -> NonEmpty a -> m # toNonEmpty :: NonEmpty a -> NonEmpty a #
Foldable1 Tree
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Tree m -> m # foldMap1 :: Semigroup m => (a -> m) -> Tree a -> m # toNonEmpty :: Tree a -> NonEmpty a #
Foldable1 Log
Instance details Defined in Numeric.Log Methods fold1 :: Semigroup m => Log m -> m # foldMap1 :: Semigroup m => (a -> m) -> Log a -> m # toNonEmpty :: Log a -> NonEmpty a #
Foldable1 (V1 :: * -> *)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => V1 m -> m # foldMap1 :: Semigroup m => (a -> m) -> V1 a -> m # toNonEmpty :: V1 a -> NonEmpty a #
Foldable1 ((,) a)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => (a, m) -> m # foldMap1 :: Semigroup m => (a0 -> m) -> (a, a0) -> m # toNonEmpty :: (a, a0) -> NonEmpty a0 #
Foldable1 f => Foldable1 (Cofree f)
Instance details Defined in Control.Comonad.Cofree Methods fold1 :: Semigroup m => Cofree f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Cofree f a -> m # toNonEmpty :: Cofree f a -> NonEmpty a #
Foldable1 f => Foldable1 (Free f)
Instance details Defined in Control.Monad.Free Methods fold1 :: Semigroup m => Free f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Free f a -> m # toNonEmpty :: Free f a -> NonEmpty a #
Foldable1 f => Foldable1 (Yoneda f)
Instance details Defined in Data.Functor.Yoneda Methods fold1 :: Semigroup m => Yoneda f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Yoneda f a -> m # toNonEmpty :: Yoneda f a -> NonEmpty a #
Foldable1 f => Foldable1 (Lift f)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Lift f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Lift f a -> m # toNonEmpty :: Lift f a -> NonEmpty a #
Foldable1 f => Foldable1 (Rec1 f)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Rec1 f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Rec1 f a -> m # toNonEmpty :: Rec1 f a -> NonEmpty a #
Foldable1 f => Foldable1 (Alt f)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Alt f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Alt f a -> m # toNonEmpty :: Alt f a -> NonEmpty a #
Bifoldable1 p => Foldable1 (Join p)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Join p m -> m # foldMap1 :: Semigroup m => (a -> m) -> Join p a -> m # toNonEmpty :: Join p a -> NonEmpty a #
Foldable1 m => Foldable1 (IdentityT m)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m0 => IdentityT m m0 -> m0 # foldMap1 :: Semigroup m0 => (a -> m0) -> IdentityT m a -> m0 # toNonEmpty :: IdentityT m a -> NonEmpty a #
Foldable1 f => Foldable1 (Backwards f)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Backwards f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Backwards f a -> m # toNonEmpty :: Backwards f a -> NonEmpty a #
Foldable1 (Tagged a)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Tagged a m -> m # foldMap1 :: Semigroup m => (a0 -> m) -> Tagged a a0 -> m # toNonEmpty :: Tagged a a0 -> NonEmpty a0 #
Foldable1 f => Foldable1 (Reverse f)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Reverse f m -> m # foldMap1 :: Semigroup m => (a -> m) -> Reverse f a -> m # toNonEmpty :: Reverse f a -> NonEmpty a #
(Foldable1 f, Foldable1 g) => Foldable1 (f :+: g)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => (f :+: g) m -> m # foldMap1 :: Semigroup m => (a -> m) -> (f :+: g) a -> m # toNonEmpty :: (f :+: g) a -> NonEmpty a #
(Foldable1 f, Foldable1 g) => Foldable1 (f :*: g)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => (f :: g) m -> m # foldMap1 :: Semigroup m => (a -> m) -> (f :: g) a -> m # toNonEmpty :: (f :*: g) a -> NonEmpty a #
(Foldable1 f, Foldable1 g) => Foldable1 (Product f g)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Product f g m -> m # foldMap1 :: Semigroup m => (a -> m) -> Product f g a -> m # toNonEmpty :: Product f g a -> NonEmpty a #
(Foldable1 f, Foldable1 g) => Foldable1 (Sum f g)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Sum f g m -> m # foldMap1 :: Semigroup m => (a -> m) -> Sum f g a -> m # toNonEmpty :: Sum f g a -> NonEmpty a #
Foldable1 f => Foldable1 (M1 i c f)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => M1 i c f m -> m # foldMap1 :: Semigroup m => (a -> m) -> M1 i c f a -> m # toNonEmpty :: M1 i c f a -> NonEmpty a #
(Foldable1 f, Foldable1 g) => Foldable1 (f :.: g)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => (f :.: g) m -> m # foldMap1 :: Semigroup m => (a -> m) -> (f :.: g) a -> m # toNonEmpty :: (f :.: g) a -> NonEmpty a #
(Foldable1 f, Foldable1 g) => Foldable1 (Compose f g)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Compose f g m -> m # foldMap1 :: Semigroup m => (a -> m) -> Compose f g a -> m # toNonEmpty :: Compose f g a -> NonEmpty a #
Foldable1 g => Foldable1 (Joker g a)
Instance details Defined in Data.Semigroup.Foldable.Class Methods fold1 :: Semigroup m => Joker g a m -> m # foldMap1 :: Semigroup m => (a0 -> m) -> Joker g a a0 -> m # toNonEmpty :: Joker g a a0 -> NonEmpty a0 #

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

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.

let g = flip $ (=<<) . f
in foldlM1 f (x1 :| [x2, ..., xn]) == (...((x1 `f` x2) `g` x2) `g`...) `g` xn

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.

let g = (=<<) . f
in foldrM1 f (x1 :| [x2, ..., xn]) == x1 `g` (x2 `g` ... (xn-1 `f` xn)...)

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

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

Insert an m between each pair of 't m'. Equivalent to intercalateMap1 with id as the second argument.

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

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

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

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"

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

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

Bifoldable

class Bifoldable (p :: * -> * -> *) where #

Bifoldable identifies foldable structures with two different varieties of elements (as opposed to Foldable, which has one variety of element). Common examples are Either and '(,)':

instance Bifoldable Either where
  bifoldMap f _ (Left  a) = f a
  bifoldMap _ g (Right b) = g b

instance Bifoldable (,) where
  bifoldr f g z (a, b) = f a (g b z)

A minimal Bifoldable definition consists of either bifoldMap or bifoldr. When defining more than this minimal set, one should ensure that the following identities hold:

bifold ≡ bifoldMap id id
bifoldMap f g ≡ bifoldr (mappend . f) (mappend . g) mempty
bifoldr f g z t ≡ appEndo (bifoldMap (Endo . f) (Endo . g) t) z

If the type is also a Bifunctor instance, it should satisfy:

'bifoldMap' f g ≡ 'bifold' . 'bimap' f g

which implies that

'bifoldMap' f g . 'bimap' h i ≡ 'bifoldMap' (f . h) (g . i)

Since: base-4.10.0.0

Minimal complete definition

bifoldr | bifoldMap

Methods

bifold :: Monoid m => p m m -> m #

Combines the elements of a structure using a monoid.

bifold ≡ bifoldMap id id

Since: base-4.10.0.0

bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> p a b -> m #

Combines the elements of a structure, given ways of mapping them to a common monoid.

bifoldMap f g
     ≡ bifoldr (mappend . f) (mappend . g) mempty

Since: base-4.10.0.0

bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> p a b -> c #

Combines the elements of a structure in a right associative manner. Given a hypothetical function toEitherList :: p a b -> [Either a b] yielding a list of all elements of a structure in order, the following would hold:

bifoldr f g z ≡ foldr (either f g) z . toEitherList

Since: base-4.10.0.0

Instances

Bifoldable Either	Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => Either m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Either a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Either a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Either a b -> c #
Bifoldable (,)	Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => (m, m) -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> (a, b) -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> (a, b) -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> (a, b) -> c #
Bifoldable Arg	Since: base-4.10.0.0
Instance details Defined in Data.Semigroup Methods bifold :: Monoid m => Arg m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Arg a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Arg a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Arg a b -> c #
Bifoldable ((,,) x)	Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => (x, m, m) -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> (x, a, b) -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> (x, a, b) -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> (x, a, b) -> c #
Bifoldable (Const :: * -> * -> *)	Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => Const m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Const a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Const a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Const a b -> c #
Foldable f => Bifoldable (FreeF f)
Instance details Defined in Control.Monad.Trans.Free Methods bifold :: Monoid m => FreeF f m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> FreeF f a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> FreeF f a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> FreeF f a b -> c #
Foldable f => Bifoldable (CofreeF f)
Instance details Defined in Control.Comonad.Trans.Cofree Methods bifold :: Monoid m => CofreeF f m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> CofreeF f a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> CofreeF f a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> CofreeF f a b -> c #
Bifoldable (Tagged :: * -> * -> *)
Instance details Defined in Data.Tagged Methods bifold :: Monoid m => Tagged m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Tagged a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Tagged a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Tagged a b -> c #
Bifoldable (K1 i :: * -> * -> *)	Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => K1 i m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> K1 i a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> K1 i a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> K1 i a b -> c #
Bifoldable ((,,,) x y)	Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => (x, y, m, m) -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> (x, y, a, b) -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> (x, y, a, b) -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> (x, y, a, b) -> c #
Bifoldable ((,,,,) x y z)	Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => (x, y, z, m, m) -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> (x, y, z, a, b) -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> (x, y, z, a, b) -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> (x, y, z, a, b) -> c #
Bifoldable p => Bifoldable (WrappedBifunctor p)
Instance details Defined in Data.Bifunctor.Wrapped Methods bifold :: Monoid m => WrappedBifunctor p m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> WrappedBifunctor p a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> WrappedBifunctor p a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> WrappedBifunctor p a b -> c #
Foldable g => Bifoldable (Joker g :: * -> * -> *)
Instance details Defined in Data.Bifunctor.Joker Methods bifold :: Monoid m => Joker g m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Joker g a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Joker g a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Joker g a b -> c #
Bifoldable p => Bifoldable (Flip p)
Instance details Defined in Data.Bifunctor.Flip Methods bifold :: Monoid m => Flip p m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Flip p a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Flip p a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Flip p a b -> c #
Foldable f => Bifoldable (Clown f :: * -> * -> *)
Instance details Defined in Data.Bifunctor.Clown Methods bifold :: Monoid m => Clown f m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Clown f a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Clown f a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Clown f a b -> c #
Bifoldable ((,,,,,) x y z w)	Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => (x, y, z, w, m, m) -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> (x, y, z, w, a, b) -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> (x, y, z, w, a, b) -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> (x, y, z, w, a, b) -> c #
(Bifoldable p, Bifoldable q) => Bifoldable (Sum p q)
Instance details Defined in Data.Bifunctor.Sum Methods bifold :: Monoid m => Sum p q m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Sum p q a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Sum p q a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Sum p q a b -> c #
(Bifoldable f, Bifoldable g) => Bifoldable (Product f g)
Instance details Defined in Data.Bifunctor.Product Methods bifold :: Monoid m => Product f g m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Product f g a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Product f g a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Product f g a b -> c #
Bifoldable ((,,,,,,) x y z w v)	Since: base-4.10.0.0
Instance details Defined in Data.Bifoldable Methods bifold :: Monoid m => (x, y, z, w, v, m, m) -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> (x, y, z, w, v, a, b) -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> (x, y, z, w, v, a, b) -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> (x, y, z, w, v, a, 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 #
(Bifoldable p, Foldable f, Foldable g) => Bifoldable (Biff p f g)
Instance details Defined in Data.Bifunctor.Biff Methods bifold :: Monoid m => Biff p f g m m -> m # bifoldMap :: Monoid m => (a -> m) -> (b -> m) -> Biff p f g a b -> m # bifoldr :: (a -> c -> c) -> (b -> c -> c) -> c -> Biff p f g a b -> c # bifoldl :: (c -> a -> c) -> (c -> b -> c) -> c -> Biff p f g a b -> c #

bifoldr' :: Bifoldable t => (a -> c -> c) -> (b -> c -> c) -> c -> t a b -> c #

As bifoldr, but strict in the result of the reduction functions at each step.

Since: base-4.10.0.0

bifoldrM :: (Bifoldable t, Monad m) => (a -> c -> m c) -> (b -> c -> m c) -> c -> t a b -> m c #

Right associative monadic bifold over a structure.

Since: base-4.10.0.0

bifoldl' :: Bifoldable t => (a -> b -> a) -> (a -> c -> a) -> a -> t b c -> a #

As bifoldl, but strict in the result of the reduction functions at each step.

This ensures that each step of the bifold is forced to weak head normal form before being applied, avoiding the collection of thunks that would otherwise occur. This is often what you want to strictly reduce a finite structure to a single, monolithic result (e.g., bilength).

Since: base-4.10.0.0

bifoldlM :: (Bifoldable t, Monad m) => (a -> b -> m a) -> (a -> c -> m a) -> a -> t b c -> m a #

Left associative monadic bifold over a structure.

Since: base-4.10.0.0

bitraverse_ :: (Bifoldable t, Applicative f) => (a -> f c) -> (b -> f d) -> t a b -> f () #

Map each element of a structure using one of two actions, evaluate these actions from left to right, and ignore the results. For a version that doesn't ignore the results, see bitraverse.

Since: base-4.10.0.0

bifor_ :: (Bifoldable t, Applicative f) => t a b -> (a -> f c) -> (b -> f d) -> f () #

As bitraverse_, but with the structure as the primary argument. For a version that doesn't ignore the results, see bifor.

>>> > bifor_ ('a', "bc") print (print . reverse)
'a'
"cb"

Since: base-4.10.0.0

bisequence_ :: (Bifoldable t, Applicative f) => t (f a) (f b) -> f () #

Evaluate each action in the structure from left to right, and ignore the results. For a version that doesn't ignore the results, see bisequence.

Since: base-4.10.0.0

biasum :: (Bifoldable t, Alternative f) => t (f a) (f a) -> f a #

The sum of a collection of actions, generalizing biconcat.

Since: base-4.10.0.0

biList :: Bifoldable t => t a a -> [a] #

Collects the list of elements of a structure, from left to right.

Since: base-4.10.0.0

binull :: Bifoldable t => t a b -> Bool #

Test whether the structure is empty.

Since: base-4.10.0.0

bilength :: Bifoldable t => t a b -> Int #

Returns the size/length of a finite structure as an Int.

Since: base-4.10.0.0

bielem :: (Bifoldable t, Eq a) => a -> t a a -> Bool #

Does the element occur in the structure?

Since: base-4.10.0.0

bisum :: (Bifoldable t, Num a) => t a a -> a #

The bisum function computes the sum of the numbers of a structure.

Since: base-4.10.0.0

biproduct :: (Bifoldable t, Num a) => t a a -> a #

The biproduct function computes the product of the numbers of a structure.

Since: base-4.10.0.0

biconcatMap :: Bifoldable t => (a -> [c]) -> (b -> [c]) -> t a b -> [c] #

Given a means of mapping the elements of a structure to lists, computes the concatenation of all such lists in order.

Since: base-4.10.0.0

biand :: Bifoldable t => t Bool Bool -> Bool #

biand returns the conjunction of a container of Bools. For the result to be True, the container must be finite; False, however, results from a False value finitely far from the left end.

Since: base-4.10.0.0

bior :: Bifoldable t => t Bool Bool -> Bool #

bior returns the disjunction of a container of Bools. For the result to be False, the container must be finite; True, however, results from a True value finitely far from the left end.

Since: base-4.10.0.0

biany :: Bifoldable t => (a -> Bool) -> (b -> Bool) -> t a b -> Bool #

Determines whether any element of the structure satisfies its appropriate predicate argument.

Since: base-4.10.0.0

biall :: Bifoldable t => (a -> Bool) -> (b -> Bool) -> t a b -> Bool #

Determines whether all elements of the structure satisfy their appropriate predicate argument.

Since: base-4.10.0.0

binotElem :: (Bifoldable t, Eq a) => a -> t a a -> Bool #

binotElem is the negation of bielem.

Since: base-4.10.0.0

bifind :: Bifoldable t => (a -> Bool) -> t a a -> Maybe a #

The bifind function takes a predicate and a structure and returns the leftmost element of the structure matching the predicate, or Nothing if there is no such element.

Since: base-4.10.0.0

Bifoldable1

class Bifoldable t => Bifoldable1 (t :: * -> * -> *) where #

Methods

bifold1 :: Semigroup m => t m m -> m #

bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> t a b -> m #

Instances

Bifoldable1 Either
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => Either m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Either a b -> m #
Bifoldable1 (,)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => (m, m) -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> (a, b) -> m #
Bifoldable1 Arg
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => Arg m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Arg a b -> m #
Bifoldable1 ((,,) x)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => (x, m, m) -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> (x, a, b) -> m #
Bifoldable1 (Const :: * -> * -> *)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => Const m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Const a b -> m #
Bifoldable1 (Tagged :: * -> * -> *)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => Tagged m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Tagged a b -> m #
Bifoldable1 ((,,,) x y)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => (x, y, m, m) -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> (x, y, a, b) -> m #
Bifoldable1 ((,,,,) x y z)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => (x, y, z, m, m) -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> (x, y, z, a, b) -> m #
Bifoldable1 p => Bifoldable1 (WrappedBifunctor p)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => WrappedBifunctor p m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> WrappedBifunctor p a b -> m #
Foldable1 g => Bifoldable1 (Joker g :: * -> * -> *)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => Joker g m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Joker g a b -> m #
Bifoldable1 p => Bifoldable1 (Flip p)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => Flip p m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Flip p a b -> m #
Foldable1 f => Bifoldable1 (Clown f :: * -> * -> *)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => Clown f m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Clown f a b -> m #
(Bifoldable1 f, Bifoldable1 g) => Bifoldable1 (Product f g)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => Product f g m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Product f g a b -> m #
(Foldable1 f, Bifoldable1 p) => Bifoldable1 (Tannen f p)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => Tannen f p m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Tannen f p a b -> m #
(Bifoldable1 p, Foldable1 f, Foldable1 g) => Bifoldable1 (Biff p f g)
Instance details Defined in Data.Semigroup.Foldable.Class Methods bifold1 :: Semigroup m => Biff p f g m m -> m # bifoldMap1 :: Semigroup m => (a -> m) -> (b -> m) -> Biff p f g a b -> m #

bitraverse1_ :: (Bifoldable1 t, Apply f) => (a -> f b) -> (c -> f d) -> t a c -> f () #

bifor1_ :: (Bifoldable1 t, Apply f) => t a c -> (a -> f b) -> (c -> f d) -> f () #

bisequenceA1_ :: (Bifoldable1 t, Apply f) => t (f a) (f b) -> f () #