foldl-1.4.15: Composable, streaming, and efficient left folds
Safe HaskellSafe-Inferred
LanguageHaskell2010

Control.Foldl.ByteString

Description

Folds for byte streams

Synopsis

Folding

fold :: Fold ByteString a -> ByteString -> a #

Apply a strict left Fold to a lazy bytestring

foldM :: Monad m => FoldM m ByteString a -> ByteString -> m a #

Apply a strict monadic left FoldM to a lazy bytestring

Folds

head :: Fold ByteString (Maybe Word8) #

Get the first byte of a byte stream or return Nothing if the stream is empty

last :: Fold ByteString (Maybe Word8) #

Get the last byte of a byte stream or return Nothing if the byte stream is empty

null :: Fold ByteString Bool #

Returns True if the byte stream is empty, False otherwise

length :: Num n => Fold ByteString n #

Return the length of the byte stream in bytes

any :: (Word8 -> Bool) -> Fold ByteString Bool #

(any predicate) returns True if any byte satisfies the predicate, False otherwise

all :: (Word8 -> Bool) -> Fold ByteString Bool #

(all predicate) returns True if all bytes satisfy the predicate, False otherwise

maximum :: Fold ByteString (Maybe Word8) #

Computes the maximum byte

minimum :: Fold ByteString (Maybe Word8) #

Computes the minimum byte

elem :: Word8 -> Fold ByteString Bool #

(elem w8) returns True if the byte stream has a byte equal to w8, False otherwise

notElem :: Word8 -> Fold ByteString Bool #

(notElem w8) returns False if the byte stream has a byte equal to w8, True otherwise

find :: (Word8 -> Bool) -> Fold ByteString (Maybe Word8) #

(find predicate) returns the first byte that satisfies the predicate or Nothing if no byte satisfies the predicate

index :: Integral n => n -> Fold ByteString (Maybe Word8) #

(index n) returns the nth byte of the byte stream, or Nothing if the stream has an insufficient number of bytes

elemIndex :: Num n => Word8 -> Fold ByteString (Maybe n) #

(elemIndex w8) returns the index of the first byte that equals w8, or Nothing if no byte matches

findIndex :: Num n => (Word8 -> Bool) -> Fold ByteString (Maybe n) #

(findIndex predicate) returns the index of the first byte that satisfies the predicate, or Nothing if no byte satisfies the predicate

count :: Num n => Word8 -> Fold ByteString n #

count w8 returns the number of times w8 appears

lazy :: Fold ByteString ByteString #

Combine all the strict ByteString chunks to build a lazy ByteString

Re-exports

Control.Foldl re-exports the Fold type

Data.ByteString re-exports the ByteString type

Data.Word re-exports the Word8 type

class Foldable (t :: Type -> Type) #

Minimal complete definition

foldMap | foldr

Instances

Instances details
Foldable ZipList 
Instance details

Defined in Control.Applicative

Methods

fold :: Monoid m => ZipList m -> m

foldMap :: Monoid m => (a -> m) -> ZipList a -> 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 
Instance details

Defined in Data.Functor.Identity

Methods

fold :: Monoid m => Identity m -> m

foldMap :: Monoid m => (a -> m) -> Identity a -> 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 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => First m -> m

foldMap :: Monoid m => (a -> m) -> First a -> 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 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Last m -> m

foldMap :: Monoid m => (a -> m) -> Last a -> 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 Down 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Down m -> m

foldMap :: Monoid m => (a -> m) -> Down a -> m

foldMap' :: Monoid m => (a -> m) -> Down a -> m

foldr :: (a -> b -> b) -> b -> Down a -> b

foldr' :: (a -> b -> b) -> b -> Down a -> b

foldl :: (b -> a -> b) -> b -> Down a -> b

foldl' :: (b -> a -> b) -> b -> Down a -> b

foldr1 :: (a -> a -> a) -> Down a -> a

foldl1 :: (a -> a -> a) -> Down a -> a

toList :: Down a -> [a]

null :: Down a -> Bool

length :: Down a -> Int

elem :: Eq a => a -> Down a -> Bool

maximum :: Ord a => Down a -> a

minimum :: Ord a => Down a -> a

sum :: Num a => Down a -> a

product :: Num a => Down a -> a

Foldable Dual 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Dual m -> m

foldMap :: Monoid m => (a -> m) -> Dual a -> 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 Product 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Product m -> m

foldMap :: Monoid m => (a -> m) -> Product a -> 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 Sum 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Sum m -> m

foldMap :: Monoid m => (a -> m) -> Sum a -> 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 NonEmpty 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => NonEmpty m -> m

foldMap :: Monoid m => (a -> m) -> NonEmpty a -> 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 Par1 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Par1 m -> m

foldMap :: Monoid m => (a -> m) -> Par1 a -> 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 IntMap 
Instance details

Defined in Data.IntMap.Internal

Methods

fold :: Monoid m => IntMap m -> m

foldMap :: Monoid m => (a -> m) -> IntMap a -> 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 Digit 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Digit m -> m

foldMap :: Monoid m => (a -> m) -> Digit a -> 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 Elem 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Elem m -> m

foldMap :: Monoid m => (a -> m) -> Elem a -> 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 FingerTree 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => FingerTree m -> m

foldMap :: Monoid m => (a -> m) -> FingerTree a -> 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 Node 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Node m -> m

foldMap :: Monoid m => (a -> m) -> Node a -> 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 Seq 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => Seq m -> m

foldMap :: Monoid m => (a -> m) -> Seq a -> 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 ViewL 
Instance details

Defined in Data.Sequence.Internal

Methods

fold :: Monoid m => ViewL m -> m

foldMap :: Monoid m => (a -> m) -> ViewL a -> 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

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

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 Tree 
Instance details

Defined in Data.Tree

Methods

fold :: Monoid m => Tree m -> m

foldMap :: Monoid m => (a -> m) -> Tree a -> 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 Hashed 
Instance details

Defined in Data.Hashable.Class

Methods

fold :: Monoid m => Hashed m -> m

foldMap :: Monoid m => (a -> m) -> Hashed a -> 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 HashSet 
Instance details

Defined in Data.HashSet.Internal

Methods

fold :: Monoid m => HashSet m -> m

foldMap :: Monoid m => (a -> m) -> HashSet a -> 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 Maybe 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Maybe m -> m

foldMap :: Monoid m => (a -> m) -> Maybe a -> 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 Solo 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Solo m -> m

foldMap :: Monoid m => (a -> m) -> Solo a -> m

foldMap' :: Monoid m => (a -> m) -> Solo a -> m

foldr :: (a -> b -> b) -> b -> Solo a -> b

foldr' :: (a -> b -> b) -> b -> Solo a -> b

foldl :: (b -> a -> b) -> b -> Solo a -> b

foldl' :: (b -> a -> b) -> b -> Solo a -> b

foldr1 :: (a -> a -> a) -> Solo a -> a

foldl1 :: (a -> a -> a) -> Solo a -> a

toList :: Solo a -> [a]

null :: Solo a -> Bool

length :: Solo a -> Int

elem :: Eq a => a -> Solo a -> Bool

maximum :: Ord a => Solo a -> a

minimum :: Ord a => Solo a -> a

sum :: Num a => Solo a -> a

product :: Num a => Solo a -> a

Foldable List 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => [m] -> m

foldMap :: Monoid m => (a -> m) -> [a] -> 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 (Either a) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Either a m -> m

foldMap :: Monoid m => (a0 -> m) -> Either a a0 -> 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 (Proxy :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Proxy m -> m

foldMap :: Monoid m => (a -> m) -> Proxy a -> 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 (Array i) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Array i m -> m

foldMap :: Monoid m => (a -> m) -> Array i a -> 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 (U1 :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => U1 m -> m

foldMap :: Monoid m => (a -> m) -> U1 a -> 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 (UAddr :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UAddr m -> m

foldMap :: Monoid m => (a -> m) -> UAddr a -> m

foldMap' :: Monoid m => (a -> m) -> UAddr a -> m

foldr :: (a -> b -> b) -> b -> UAddr a -> b

foldr' :: (a -> b -> b) -> b -> UAddr a -> b

foldl :: (b -> a -> b) -> b -> UAddr a -> b

foldl' :: (b -> a -> b) -> b -> UAddr a -> b

foldr1 :: (a -> a -> a) -> UAddr a -> a

foldl1 :: (a -> a -> a) -> UAddr a -> a

toList :: UAddr a -> [a]

null :: UAddr a -> Bool

length :: UAddr a -> Int

elem :: Eq a => a -> UAddr a -> Bool

maximum :: Ord a => UAddr a -> a

minimum :: Ord a => UAddr a -> a

sum :: Num a => UAddr a -> a

product :: Num a => UAddr a -> a

Foldable (UChar :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UChar m -> m

foldMap :: Monoid m => (a -> m) -> UChar a -> m

foldMap' :: Monoid m => (a -> m) -> UChar a -> m

foldr :: (a -> b -> b) -> b -> UChar a -> b

foldr' :: (a -> b -> b) -> b -> UChar a -> b

foldl :: (b -> a -> b) -> b -> UChar a -> b

foldl' :: (b -> a -> b) -> b -> UChar a -> b

foldr1 :: (a -> a -> a) -> UChar a -> a

foldl1 :: (a -> a -> a) -> UChar a -> a

toList :: UChar a -> [a]

null :: UChar a -> Bool

length :: UChar a -> Int

elem :: Eq a => a -> UChar a -> Bool

maximum :: Ord a => UChar a -> a

minimum :: Ord a => UChar a -> a

sum :: Num a => UChar a -> a

product :: Num a => UChar a -> a

Foldable (UDouble :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UDouble m -> m

foldMap :: Monoid m => (a -> m) -> UDouble a -> m

foldMap' :: Monoid m => (a -> m) -> UDouble a -> m

foldr :: (a -> b -> b) -> b -> UDouble a -> b

foldr' :: (a -> b -> b) -> b -> UDouble a -> b

foldl :: (b -> a -> b) -> b -> UDouble a -> b

foldl' :: (b -> a -> b) -> b -> UDouble a -> b

foldr1 :: (a -> a -> a) -> UDouble a -> a

foldl1 :: (a -> a -> a) -> UDouble a -> a

toList :: UDouble a -> [a]

null :: UDouble a -> Bool

length :: UDouble a -> Int

elem :: Eq a => a -> UDouble a -> Bool

maximum :: Ord a => UDouble a -> a

minimum :: Ord a => UDouble a -> a

sum :: Num a => UDouble a -> a

product :: Num a => UDouble a -> a

Foldable (UFloat :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UFloat m -> m

foldMap :: Monoid m => (a -> m) -> UFloat a -> m

foldMap' :: Monoid m => (a -> m) -> UFloat a -> m

foldr :: (a -> b -> b) -> b -> UFloat a -> b

foldr' :: (a -> b -> b) -> b -> UFloat a -> b

foldl :: (b -> a -> b) -> b -> UFloat a -> b

foldl' :: (b -> a -> b) -> b -> UFloat a -> b

foldr1 :: (a -> a -> a) -> UFloat a -> a

foldl1 :: (a -> a -> a) -> UFloat a -> a

toList :: UFloat a -> [a]

null :: UFloat a -> Bool

length :: UFloat a -> Int

elem :: Eq a => a -> UFloat a -> Bool

maximum :: Ord a => UFloat a -> a

minimum :: Ord a => UFloat a -> a

sum :: Num a => UFloat a -> a

product :: Num a => UFloat a -> a

Foldable (UInt :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UInt m -> m

foldMap :: Monoid m => (a -> m) -> UInt a -> m

foldMap' :: Monoid m => (a -> m) -> UInt a -> m

foldr :: (a -> b -> b) -> b -> UInt a -> b

foldr' :: (a -> b -> b) -> b -> UInt a -> b

foldl :: (b -> a -> b) -> b -> UInt a -> b

foldl' :: (b -> a -> b) -> b -> UInt a -> b

foldr1 :: (a -> a -> a) -> UInt a -> a

foldl1 :: (a -> a -> a) -> UInt a -> a

toList :: UInt a -> [a]

null :: UInt a -> Bool

length :: UInt a -> Int

elem :: Eq a => a -> UInt a -> Bool

maximum :: Ord a => UInt a -> a

minimum :: Ord a => UInt a -> a

sum :: Num a => UInt a -> a

product :: Num a => UInt a -> a

Foldable (UWord :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => UWord m -> m

foldMap :: Monoid m => (a -> m) -> UWord a -> m

foldMap' :: Monoid m => (a -> m) -> UWord a -> m

foldr :: (a -> b -> b) -> b -> UWord a -> b

foldr' :: (a -> b -> b) -> b -> UWord a -> b

foldl :: (b -> a -> b) -> b -> UWord a -> b

foldl' :: (b -> a -> b) -> b -> UWord a -> b

foldr1 :: (a -> a -> a) -> UWord a -> a

foldl1 :: (a -> a -> a) -> UWord a -> a

toList :: UWord a -> [a]

null :: UWord a -> Bool

length :: UWord a -> Int

elem :: Eq a => a -> UWord a -> Bool

maximum :: Ord a => UWord a -> a

minimum :: Ord a => UWord a -> a

sum :: Num a => UWord a -> a

product :: Num a => UWord a -> a

Foldable (V1 :: Type -> Type) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => V1 m -> m

foldMap :: Monoid m => (a -> m) -> V1 a -> 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 (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

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 f => Foldable (Lift f) 
Instance details

Defined in Control.Applicative.Lift

Methods

fold :: Monoid m => Lift f m -> m

foldMap :: Monoid m => (a -> m) -> Lift f a -> m

foldMap' :: Monoid m => (a -> m) -> Lift f a -> m

foldr :: (a -> b -> b) -> b -> Lift f a -> b

foldr' :: (a -> b -> b) -> b -> Lift f a -> b

foldl :: (b -> a -> b) -> b -> Lift f a -> b

foldl' :: (b -> a -> b) -> b -> Lift f a -> b

foldr1 :: (a -> a -> a) -> Lift f a -> a

foldl1 :: (a -> a -> a) -> Lift f a -> a

toList :: Lift f a -> [a]

null :: Lift f a -> Bool

length :: Lift f a -> Int

elem :: Eq a => a -> Lift f a -> Bool

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

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

sum :: Num a => Lift f a -> a

product :: Num a => Lift f 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

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 (HashMap k) 
Instance details

Defined in Data.HashMap.Internal

Methods

fold :: Monoid m => HashMap k m -> m

foldMap :: Monoid m => (a -> m) -> HashMap k a -> 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 ((,) a) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => (a, m) -> m

foldMap :: Monoid m => (a0 -> m) -> (a, a0) -> 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 (Const m :: Type -> Type) 
Instance details

Defined in Data.Functor.Const

Methods

fold :: Monoid m0 => Const m m0 -> m0

foldMap :: Monoid m0 => (a -> m0) -> Const m a -> 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

Foldable f => Foldable (Ap f) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Ap f m -> m

foldMap :: Monoid m => (a -> m) -> Ap f a -> m

foldMap' :: Monoid m => (a -> m) -> Ap f a -> m

foldr :: (a -> b -> b) -> b -> Ap f a -> b

foldr' :: (a -> b -> b) -> b -> Ap f a -> b

foldl :: (b -> a -> b) -> b -> Ap f a -> b

foldl' :: (b -> a -> b) -> b -> Ap f a -> b

foldr1 :: (a -> a -> a) -> Ap f a -> a

foldl1 :: (a -> a -> a) -> Ap f a -> a

toList :: Ap f a -> [a]

null :: Ap f a -> Bool

length :: Ap f a -> Int

elem :: Eq a => a -> Ap f a -> Bool

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

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

sum :: Num a => Ap f a -> a

product :: Num a => Ap f a -> a

Foldable f => Foldable (Alt f) 
Instance details

Defined in Data.Foldable

Methods

fold :: Monoid m => Alt f m -> m

foldMap :: Monoid m => (a -> m) -> Alt f a -> m

foldMap' :: Monoid m => (a -> m) -> Alt f a -> m

foldr :: (a -> b -> b) -> b -> Alt f a -> b

foldr' :: (a -> b -> b) -> b -> Alt f a -> b

foldl :: (b -> a -> b) -> b -> Alt f a -> b

foldl' :: (b -> a -> b) -> b -> Alt f a -> b

foldr1 :: (a -> a -> a) -> Alt f a -> a

foldl1 :: (a -> a -> a) -> Alt f a -> a

toList :: Alt f a -> [a]

null :: Alt f a -> Bool

length :: Alt f a -> Int

elem :: Eq a => a -> Alt f a -> Bool

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

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

sum :: Num a => Alt f a -> a

product :: Num a => Alt f 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

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

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

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

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

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 f => Foldable (Backwards f) 
Instance details

Defined in Control.Applicative.Backwards

Methods

fold :: Monoid m => Backwards f m -> m

foldMap :: Monoid m => (a -> m) -> Backwards f a -> 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 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

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 (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

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 (WriterT w f) 
Instance details

Defined in Control.Monad.Trans.Writer.Lazy

Methods

fold :: Monoid m => WriterT w f m -> m

foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m

foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m

foldr :: (a -> b -> b) -> b -> WriterT w f a -> b

foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b

foldl :: (b -> a -> b) -> b -> WriterT w f a -> b

foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b

foldr1 :: (a -> a -> a) -> WriterT w f a -> a

foldl1 :: (a -> a -> a) -> WriterT w f a -> a

toList :: WriterT w f a -> [a]

null :: WriterT w f a -> Bool

length :: WriterT w f a -> Int

elem :: Eq a => a -> WriterT w f a -> Bool

maximum :: Ord a => WriterT w f a -> a

minimum :: Ord a => WriterT w f a -> a

sum :: Num a => WriterT w f a -> a

product :: Num a => WriterT w f a -> a

Foldable f => Foldable (WriterT w f) 
Instance details

Defined in Control.Monad.Trans.Writer.Strict

Methods

fold :: Monoid m => WriterT w f m -> m

foldMap :: Monoid m => (a -> m) -> WriterT w f a -> m

foldMap' :: Monoid m => (a -> m) -> WriterT w f a -> m

foldr :: (a -> b -> b) -> b -> WriterT w f a -> b

foldr' :: (a -> b -> b) -> b -> WriterT w f a -> b

foldl :: (b -> a -> b) -> b -> WriterT w f a -> b

foldl' :: (b -> a -> b) -> b -> WriterT w f a -> b

foldr1 :: (a -> a -> a) -> WriterT w f a -> a

foldl1 :: (a -> a -> a) -> WriterT w f a -> a

toList :: WriterT w f a -> [a]

null :: WriterT w f a -> Bool

length :: WriterT w f a -> Int

elem :: Eq a => a -> WriterT w f a -> Bool

maximum :: Ord a => WriterT w f a -> a

minimum :: Ord a => WriterT w f a -> a

sum :: Num a => WriterT w f a -> a

product :: Num a => WriterT w f a -> a

Foldable (Constant a :: Type -> Type) 
Instance details

Defined in Data.Functor.Constant

Methods

fold :: Monoid m => Constant a m -> m

foldMap :: Monoid m => (a0 -> m) -> Constant a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Constant a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Constant a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Constant a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Constant a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Constant a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Constant a a0 -> a0

toList :: Constant a a0 -> [a0]

null :: Constant a a0 -> Bool

length :: Constant a a0 -> Int

elem :: Eq a0 => a0 -> Constant a a0 -> Bool

maximum :: Ord a0 => Constant a a0 -> a0

minimum :: Ord a0 => Constant a a0 -> a0

sum :: Num a0 => Constant a a0 -> a0

product :: Num a0 => Constant a a0 -> a0

Foldable f => Foldable (Reverse f) 
Instance details

Defined in Data.Functor.Reverse

Methods

fold :: Monoid m => Reverse f m -> m

foldMap :: Monoid m => (a -> m) -> Reverse f a -> m

foldMap' :: Monoid m => (a -> m) -> Reverse f a -> m

foldr :: (a -> b -> b) -> b -> Reverse f a -> b

foldr' :: (a -> b -> b) -> b -> Reverse f a -> b

foldl :: (b -> a -> b) -> b -> Reverse f a -> b

foldl' :: (b -> a -> b) -> b -> Reverse f a -> b

foldr1 :: (a -> a -> a) -> Reverse f a -> a

foldl1 :: (a -> a -> a) -> Reverse f a -> a

toList :: Reverse f a -> [a]

null :: Reverse f a -> Bool

length :: Reverse f a -> Int

elem :: Eq a => a -> Reverse f a -> Bool

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

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

sum :: Num a => Reverse f a -> a

product :: Num a => Reverse 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

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

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 (K1 i c :: Type -> Type) 
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

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 (Forget r a :: Type -> Type) 
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

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 f, Foldable g) => Foldable (Compose f g) 
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

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

(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

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 (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

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 (Clown f a :: Type -> Type) 
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

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

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

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 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

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 (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

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 (f a), Foldable (g a)) => Foldable (Product f g a) 
Instance details

Defined in Data.Bifunctor.Product

Methods

fold :: Monoid m => Product f g a m -> m

foldMap :: Monoid m => (a0 -> m) -> Product f g a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Product f g a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Product f g a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Product f g a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Product f g a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Product f g a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Product f g a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Product f g a a0 -> a0

toList :: Product f g a a0 -> [a0]

null :: Product f g a a0 -> Bool

length :: Product f g a a0 -> Int

elem :: Eq a0 => a0 -> Product f g a a0 -> Bool

maximum :: Ord a0 => Product f g a a0 -> a0

minimum :: Ord a0 => Product f g a a0 -> a0

sum :: Num a0 => Product f g a a0 -> a0

product :: Num a0 => Product f g a a0 -> a0

(Foldable (f a), Foldable (g a)) => Foldable (Sum f g a) 
Instance details

Defined in Data.Bifunctor.Sum

Methods

fold :: Monoid m => Sum f g a m -> m

foldMap :: Monoid m => (a0 -> m) -> Sum f g a a0 -> m

foldMap' :: Monoid m => (a0 -> m) -> Sum f g a a0 -> m

foldr :: (a0 -> b -> b) -> b -> Sum f g a a0 -> b

foldr' :: (a0 -> b -> b) -> b -> Sum f g a a0 -> b

foldl :: (b -> a0 -> b) -> b -> Sum f g a a0 -> b

foldl' :: (b -> a0 -> b) -> b -> Sum f g a a0 -> b

foldr1 :: (a0 -> a0 -> a0) -> Sum f g a a0 -> a0

foldl1 :: (a0 -> a0 -> a0) -> Sum f g a a0 -> a0

toList :: Sum f g a a0 -> [a0]

null :: Sum f g a a0 -> Bool

length :: Sum f g a a0 -> Int

elem :: Eq a0 => a0 -> Sum f g a a0 -> Bool

maximum :: Ord a0 => Sum f g a a0 -> a0

minimum :: Ord a0 => Sum f g a a0 -> a0

sum :: Num a0 => Sum f g a a0 -> a0

product :: Num a0 => Sum f g 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

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

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

data Fold a b #

Efficient representation of a left fold that preserves the fold's step function, initial accumulator, and extraction function

This allows the Applicative instance to assemble derived folds that traverse the container only once

A 'Fold a b' processes elements of type a and results in a value of type b.

Instances

Instances details
Choice Fold # 
Instance details

Defined in Control.Foldl

Methods

left' :: Fold a b -> Fold (Either a c) (Either b c) #

right' :: Fold a b -> Fold (Either c a) (Either c b) #

Costrong Fold # 
Instance details

Defined in Control.Foldl

Methods

unfirst :: Fold (a, d) (b, d) -> Fold a b #

unsecond :: Fold (d, a) (d, b) -> Fold a b #

Profunctor Fold # 
Instance details

Defined in Control.Foldl

Methods

dimap :: (a -> b) -> (c -> d) -> Fold b c -> Fold a d #

lmap :: (a -> b) -> Fold b c -> Fold a c #

rmap :: (b -> c) -> Fold a b -> Fold a c #

(#.) :: forall a b c q. Coercible c b => q b c -> Fold a b -> Fold a c #

(.#) :: forall a b c q. Coercible b a => Fold b c -> q a b -> Fold a c #

Cosieve Fold List # 
Instance details

Defined in Control.Foldl

Methods

cosieve :: Fold a b -> [a] -> b #

Semigroupoid Fold # 
Instance details

Defined in Control.Foldl

Methods

o :: forall (j :: k) (k1 :: k) (i :: k). Fold j k1 -> Fold i j -> Fold i k1 #

Applicative (Fold a) # 
Instance details

Defined in Control.Foldl

Methods

pure :: a0 -> Fold a a0 #

(<*>) :: Fold a (a0 -> b) -> Fold a a0 -> Fold a b

liftA2 :: (a0 -> b -> c) -> Fold a a0 -> Fold a b -> Fold a c

(*>) :: Fold a a0 -> Fold a b -> Fold a b

(<*) :: Fold a a0 -> Fold a b -> Fold a a0

Functor (Fold a) # 
Instance details

Defined in Control.Foldl

Methods

fmap :: (a0 -> b) -> Fold a a0 -> Fold a b #

(<$) :: a0 -> Fold a b -> Fold a a0 #

Comonad (Fold a) # 
Instance details

Defined in Control.Foldl

Methods

extract :: Fold a a0 -> a0 #

duplicate :: Fold a a0 -> Fold a (Fold a a0) #

extend :: (Fold a a0 -> b) -> Fold a a0 -> Fold a b #

Extend (Fold a) # 
Instance details

Defined in Control.Foldl

Methods

duplicated :: Fold a a0 -> Fold a (Fold a a0) #

extended :: (Fold a a0 -> b) -> Fold a a0 -> Fold a b #

Monoid b => Monoid (Fold a b) # 
Instance details

Defined in Control.Foldl

Methods

mempty :: Fold a b

mappend :: Fold a b -> Fold a b -> Fold a b

mconcat :: [Fold a b] -> Fold a b

Semigroup b => Semigroup (Fold a b) # 
Instance details

Defined in Control.Foldl

Methods

(<>) :: Fold a b -> Fold a b -> Fold a b

sconcat :: NonEmpty (Fold a b) -> Fold a b

stimes :: Integral b0 => b0 -> Fold a b -> Fold a b

Floating b => Floating (Fold a b) # 
Instance details

Defined in Control.Foldl

Methods

pi :: Fold a b

exp :: Fold a b -> Fold a b

log :: Fold a b -> Fold a b

sqrt :: Fold a b -> Fold a b

(**) :: Fold a b -> Fold a b -> Fold a b

logBase :: Fold a b -> Fold a b -> Fold a b

sin :: Fold a b -> Fold a b

cos :: Fold a b -> Fold a b

tan :: Fold a b -> Fold a b

asin :: Fold a b -> Fold a b

acos :: Fold a b -> Fold a b

atan :: Fold a b -> Fold a b

sinh :: Fold a b -> Fold a b

cosh :: Fold a b -> Fold a b

tanh :: Fold a b -> Fold a b

asinh :: Fold a b -> Fold a b

acosh :: Fold a b -> Fold a b

atanh :: Fold a b -> Fold a b

log1p :: Fold a b -> Fold a b

expm1 :: Fold a b -> Fold a b

log1pexp :: Fold a b -> Fold a b

log1mexp :: Fold a b -> Fold a b

Num b => Num (Fold a b) # 
Instance details

Defined in Control.Foldl

Methods

(+) :: Fold a b -> Fold a b -> Fold a b

(-) :: Fold a b -> Fold a b -> Fold a b

(*) :: Fold a b -> Fold a b -> Fold a b

negate :: Fold a b -> Fold a b

abs :: Fold a b -> Fold a b

signum :: Fold a b -> Fold a b

fromInteger :: Integer -> Fold a b

Fractional b => Fractional (Fold a b) # 
Instance details

Defined in Control.Foldl

Methods

(/) :: Fold a b -> Fold a b -> Fold a b

recip :: Fold a b -> Fold a b

fromRational :: Rational -> Fold a b

data FoldM m a b #

Like Fold, but monadic.

A 'FoldM m a b' processes elements of type a and results in a monadic value of type m b.

Instances

Instances details
Functor m => Profunctor (FoldM m) # 
Instance details

Defined in Control.Foldl

Methods

dimap :: (a -> b) -> (c -> d) -> FoldM m b c -> FoldM m a d #

lmap :: (a -> b) -> FoldM m b c -> FoldM m a c #

rmap :: (b -> c) -> FoldM m a b -> FoldM m a c #

(#.) :: forall a b c q. Coercible c b => q b c -> FoldM m a b -> FoldM m a c #

(.#) :: forall a b c q. Coercible b a => FoldM m b c -> q a b -> FoldM m a c #

Applicative m => Applicative (FoldM m a) # 
Instance details

Defined in Control.Foldl

Methods

pure :: a0 -> FoldM m a a0 #

(<*>) :: FoldM m a (a0 -> b) -> FoldM m a a0 -> FoldM m a b

liftA2 :: (a0 -> b -> c) -> FoldM m a a0 -> FoldM m a b -> FoldM m a c

(*>) :: FoldM m a a0 -> FoldM m a b -> FoldM m a b

(<*) :: FoldM m a a0 -> FoldM m a b -> FoldM m a a0

Functor m => Functor (FoldM m a) # 
Instance details

Defined in Control.Foldl

Methods

fmap :: (a0 -> b) -> FoldM m a a0 -> FoldM m a b #

(<$) :: a0 -> FoldM m a b -> FoldM m a a0 #

Monad m => Extend (FoldM m a) # 
Instance details

Defined in Control.Foldl

Methods

duplicated :: FoldM m a a0 -> FoldM m a (FoldM m a a0) #

extended :: (FoldM m a a0 -> b) -> FoldM m a a0 -> FoldM m a b #

(Monoid b, Monad m) => Monoid (FoldM m a b) # 
Instance details

Defined in Control.Foldl

Methods

mempty :: FoldM m a b

mappend :: FoldM m a b -> FoldM m a b -> FoldM m a b

mconcat :: [FoldM m a b] -> FoldM m a b

(Semigroup b, Monad m) => Semigroup (FoldM m a b) # 
Instance details

Defined in Control.Foldl

Methods

(<>) :: FoldM m a b -> FoldM m a b -> FoldM m a b

sconcat :: NonEmpty (FoldM m a b) -> FoldM m a b

stimes :: Integral b0 => b0 -> FoldM m a b -> FoldM m a b

(Monad m, Floating b) => Floating (FoldM m a b) # 
Instance details

Defined in Control.Foldl

Methods

pi :: FoldM m a b

exp :: FoldM m a b -> FoldM m a b

log :: FoldM m a b -> FoldM m a b

sqrt :: FoldM m a b -> FoldM m a b

(**) :: FoldM m a b -> FoldM m a b -> FoldM m a b

logBase :: FoldM m a b -> FoldM m a b -> FoldM m a b

sin :: FoldM m a b -> FoldM m a b

cos :: FoldM m a b -> FoldM m a b

tan :: FoldM m a b -> FoldM m a b

asin :: FoldM m a b -> FoldM m a b

acos :: FoldM m a b -> FoldM m a b

atan :: FoldM m a b -> FoldM m a b

sinh :: FoldM m a b -> FoldM m a b

cosh :: FoldM m a b -> FoldM m a b

tanh :: FoldM m a b -> FoldM m a b

asinh :: FoldM m a b -> FoldM m a b

acosh :: FoldM m a b -> FoldM m a b

atanh :: FoldM m a b -> FoldM m a b

log1p :: FoldM m a b -> FoldM m a b

expm1 :: FoldM m a b -> FoldM m a b

log1pexp :: FoldM m a b -> FoldM m a b

log1mexp :: FoldM m a b -> FoldM m a b

(Monad m, Num b) => Num (FoldM m a b) # 
Instance details

Defined in Control.Foldl

Methods

(+) :: FoldM m a b -> FoldM m a b -> FoldM m a b

(-) :: FoldM m a b -> FoldM m a b -> FoldM m a b

(*) :: FoldM m a b -> FoldM m a b -> FoldM m a b

negate :: FoldM m a b -> FoldM m a b

abs :: FoldM m a b -> FoldM m a b

signum :: FoldM m a b -> FoldM m a b

fromInteger :: Integer -> FoldM m a b

(Monad m, Fractional b) => Fractional (FoldM m a b) # 
Instance details

Defined in Control.Foldl

Methods

(/) :: FoldM m a b -> FoldM m a b -> FoldM m a b

recip :: FoldM m a b -> FoldM m a b

fromRational :: Rational -> FoldM m a b

data ByteString #

Instances

Instances details
Data ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ByteString -> c ByteString

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c ByteString

toConstr :: ByteString -> Constr

dataTypeOf :: ByteString -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c ByteString)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c ByteString)

gmapT :: (forall b. Data b => b -> b) -> ByteString -> ByteString

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ByteString -> r

gmapQ :: (forall d. Data d => d -> u) -> ByteString -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> ByteString -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ByteString -> m ByteString

IsString ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Methods

fromString :: String -> ByteString

Monoid ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Semigroup ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Methods

(<>) :: ByteString -> ByteString -> ByteString

sconcat :: NonEmpty ByteString -> ByteString

stimes :: Integral b => b -> ByteString -> ByteString

IsList ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Associated Types

type Item ByteString

Methods

fromList :: [Item ByteString] -> ByteString

fromListN :: Int -> [Item ByteString] -> ByteString

toList :: ByteString -> [Item ByteString]

Read ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Methods

readsPrec :: Int -> ReadS ByteString

readList :: ReadS [ByteString]

readPrec :: ReadPrec ByteString

readListPrec :: ReadPrec [ByteString]

Show ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Methods

showsPrec :: Int -> ByteString -> ShowS

show :: ByteString -> String

showList :: [ByteString] -> ShowS

NFData ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Methods

rnf :: ByteString -> ()

Eq ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Methods

(==) :: ByteString -> ByteString -> Bool

(/=) :: ByteString -> ByteString -> Bool

Ord ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Hashable ByteString 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> ByteString -> Int #

hash :: ByteString -> Int #

Lift ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

Methods

lift :: Quote m => ByteString -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => ByteString -> Code m ByteString

type Item ByteString 
Instance details

Defined in Data.ByteString.Internal.Type

type Item ByteString = Word8

data Word8 #

Instances

Instances details
Bits Word8 
Instance details

Defined in GHC.Word

Methods

(.&.) :: Word8 -> Word8 -> Word8

(.|.) :: Word8 -> Word8 -> Word8

xor :: Word8 -> Word8 -> Word8

complement :: Word8 -> Word8

shift :: Word8 -> Int -> Word8

rotate :: Word8 -> Int -> Word8

zeroBits :: Word8

bit :: Int -> Word8

setBit :: Word8 -> Int -> Word8

clearBit :: Word8 -> Int -> Word8

complementBit :: Word8 -> Int -> Word8

testBit :: Word8 -> Int -> Bool

bitSizeMaybe :: Word8 -> Maybe Int

bitSize :: Word8 -> Int

isSigned :: Word8 -> Bool

shiftL :: Word8 -> Int -> Word8

unsafeShiftL :: Word8 -> Int -> Word8

shiftR :: Word8 -> Int -> Word8

unsafeShiftR :: Word8 -> Int -> Word8

rotateL :: Word8 -> Int -> Word8

rotateR :: Word8 -> Int -> Word8

popCount :: Word8 -> Int

FiniteBits Word8 
Instance details

Defined in GHC.Word

Bounded Word8 
Instance details

Defined in GHC.Word

Enum Word8 
Instance details

Defined in GHC.Word

Ix Word8 
Instance details

Defined in GHC.Word

Methods

range :: (Word8, Word8) -> [Word8]

index :: (Word8, Word8) -> Word8 -> Int

unsafeIndex :: (Word8, Word8) -> Word8 -> Int

inRange :: (Word8, Word8) -> Word8 -> Bool

rangeSize :: (Word8, Word8) -> Int

unsafeRangeSize :: (Word8, Word8) -> Int

Num Word8 
Instance details

Defined in GHC.Word

Methods

(+) :: Word8 -> Word8 -> Word8

(-) :: Word8 -> Word8 -> Word8

(*) :: Word8 -> Word8 -> Word8

negate :: Word8 -> Word8

abs :: Word8 -> Word8

signum :: Word8 -> Word8

fromInteger :: Integer -> Word8

Read Word8 
Instance details

Defined in GHC.Read

Methods

readsPrec :: Int -> ReadS Word8

readList :: ReadS [Word8]

readPrec :: ReadPrec Word8

readListPrec :: ReadPrec [Word8]

Integral Word8 
Instance details

Defined in GHC.Word

Methods

quot :: Word8 -> Word8 -> Word8

rem :: Word8 -> Word8 -> Word8

div :: Word8 -> Word8 -> Word8

mod :: Word8 -> Word8 -> Word8

quotRem :: Word8 -> Word8 -> (Word8, Word8)

divMod :: Word8 -> Word8 -> (Word8, Word8)

toInteger :: Word8 -> Integer

Real Word8 
Instance details

Defined in GHC.Word

Methods

toRational :: Word8 -> Rational

Show Word8 
Instance details

Defined in GHC.Word

Methods

showsPrec :: Int -> Word8 -> ShowS

show :: Word8 -> String

showList :: [Word8] -> ShowS

NFData Word8 
Instance details

Defined in Control.DeepSeq

Methods

rnf :: Word8 -> ()

Eq Word8 
Instance details

Defined in GHC.Word

Methods

(==) :: Word8 -> Word8 -> Bool

(/=) :: Word8 -> Word8 -> Bool

Ord Word8 
Instance details

Defined in GHC.Word

Methods

compare :: Word8 -> Word8 -> Ordering

(<) :: Word8 -> Word8 -> Bool

(<=) :: Word8 -> Word8 -> Bool

(>) :: Word8 -> Word8 -> Bool

(>=) :: Word8 -> Word8 -> Bool

max :: Word8 -> Word8 -> Word8

min :: Word8 -> Word8 -> Word8

Hashable Word8 
Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Word8 -> Int #

hash :: Word8 -> Int #

Random Word8 
Instance details

Defined in System.Random

Methods

randomR :: RandomGen g => (Word8, Word8) -> g -> (Word8, g) #

random :: RandomGen g => g -> (Word8, g) #

randomRs :: RandomGen g => (Word8, Word8) -> g -> [Word8] #

randoms :: RandomGen g => g -> [Word8] #

Uniform Word8 
Instance details

Defined in System.Random.Internal

Methods

uniformM :: StatefulGen g m => g -> m Word8 #

UniformRange Word8 
Instance details

Defined in System.Random.Internal

Methods

uniformRM :: StatefulGen g m => (Word8, Word8) -> g -> m Word8 #

Lift Word8 
Instance details

Defined in Language.Haskell.TH.Syntax

Methods

lift :: Quote m => Word8 -> m Exp

liftTyped :: forall (m :: Type -> Type). Quote m => Word8 -> Code m Word8