Safe Haskell	Safe
Language	GHC2021

Antelude.Sequence

Description

Synopsis

data ViewR a
- = EmptyR
- | (Seq a) :> a
data ViewL a
- = EmptyL
- | a :< (Seq a)
data Seq a where
- pattern Empty :: Seq a
- pattern (:|>) :: Seq a -> a -> Seq a
- pattern (:<|) :: a -> Seq a -> Seq a
zipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
sortBy :: (a -> a -> Ordering) -> Seq a -> Seq a
length :: Seq a -> Int
filter :: (a -> Bool) -> Seq a -> Seq a
unfoldr :: (b -> Maybe (a, b)) -> b -> Seq a
sortOn :: Ord b => (a -> b) -> Seq a -> Seq a
zip :: Seq a -> Seq b -> Seq (a, b)
fromList :: [a] -> Seq a
empty :: Seq a
null :: Seq a -> Bool
scanl :: (a -> b -> a) -> a -> Seq b -> Seq a
scanl1 :: (a -> a -> a) -> Seq a -> Seq a
scanr :: (a -> b -> b) -> b -> Seq a -> Seq b
scanr1 :: (a -> a -> a) -> Seq a -> Seq a
replicate :: Int -> a -> Seq a
take :: Int -> Seq a -> Seq a
drop :: Int -> Seq a -> Seq a
splitAt :: Int -> Seq a -> (Seq a, Seq a)
reverse :: Seq a -> Seq a
lookup :: Int -> Seq a -> Maybe a
zip3 :: Seq a -> Seq b -> Seq c -> Seq (a, b, c)
zipWith3 :: (a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d
unzip :: Seq (a, b) -> (Seq a, Seq b)
adjust :: (a -> a) -> Int -> Seq a -> Seq a
intersperse :: a -> Seq a -> Seq a
partition :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
zip4 :: Seq a -> Seq b -> Seq c -> Seq d -> Seq (a, b, c, d)
zipWith4 :: (a -> b -> c -> d -> e) -> Seq a -> Seq b -> Seq c -> Seq d -> Seq e
inits :: Seq a -> Seq (Seq a)
tails :: Seq a -> Seq (Seq a)
sort :: Ord a => Seq a -> Seq a
singleton :: a -> Seq a
replicateM :: Applicative m => Int -> m a -> m (Seq a)
foldMapWithIndex :: Monoid m => (Int -> a -> m) -> Seq a -> m
deleteAt :: Int -> Seq a -> Seq a
replicateA :: Applicative f => Int -> f a -> f (Seq a)
cycleTaking :: Int -> Seq a -> Seq a
unfoldl :: (b -> Maybe (b, a)) -> b -> Seq a
iterateN :: Int -> (a -> a) -> a -> Seq a
viewl :: Seq a -> ViewL a
viewr :: Seq a -> ViewR a
update :: Int -> a -> Seq a -> Seq a
adjust' :: (a -> a) -> Int -> Seq a -> Seq a
insertAt :: Int -> a -> Seq a -> Seq a
mapWithIndex :: (Int -> a -> b) -> Seq a -> Seq b
traverseWithIndex :: Applicative f => (Int -> a -> f b) -> Seq a -> f (Seq b)
fromFunction :: Int -> (Int -> a) -> Seq a
fromArray :: Ix i => Array i a -> Seq a
chunksOf :: Int -> Seq a -> Seq (Seq a)
foldlWithIndex :: (b -> Int -> a -> b) -> b -> Seq a -> b
foldrWithIndex :: (Int -> a -> b -> b) -> b -> Seq a -> b
takeWhileL :: (a -> Bool) -> Seq a -> Seq a
takeWhileR :: (a -> Bool) -> Seq a -> Seq a
dropWhileL :: (a -> Bool) -> Seq a -> Seq a
dropWhileR :: (a -> Bool) -> Seq a -> Seq a
spanl :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
spanr :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
breakl :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
breakr :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
elemIndexL :: Eq a => a -> Seq a -> Maybe Int
elemIndexR :: Eq a => a -> Seq a -> Maybe Int
elemIndicesL :: Eq a => a -> Seq a -> [Int]
elemIndicesR :: Eq a => a -> Seq a -> [Int]
findIndexL :: (a -> Bool) -> Seq a -> Maybe Int
findIndexR :: (a -> Bool) -> Seq a -> Maybe Int
findIndicesL :: (a -> Bool) -> Seq a -> [Int]
findIndicesR :: (a -> Bool) -> Seq a -> [Int]
unzipWith :: (a -> (b, c)) -> Seq a -> (Seq b, Seq c)
unstableSort :: Ord a => Seq a -> Seq a
unstableSortBy :: (a -> a -> Ordering) -> Seq a -> Seq a
unstableSortOn :: Ord b => (a -> b) -> Seq a -> Seq a
append :: a -> Seq a -> Seq a
concat :: Seq a -> Seq a -> Seq a
prepend :: a -> Seq a -> Seq a

Documentation

data ViewR a #

View of the right end of a sequence.

Constructors

EmptyR	empty sequence
(Seq a) :> a infixl 5	the sequence minus the rightmost element, and the rightmost element

Instances

Instances details

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 #
Traversable ViewR
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> ViewR a -> f (ViewR b) # sequenceA :: Applicative f => ViewR (f a) -> f (ViewR a) # mapM :: Monad m => (a -> m b) -> ViewR a -> m (ViewR b) # sequence :: Monad m => ViewR (m a) -> m (ViewR a) #
Functor ViewR
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewR a -> ViewR b # (<$) :: a -> ViewR b -> ViewR a #
Generic1 ViewR
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 ViewR :: k -> Type # Methods from1 :: forall (a :: k). ViewR a -> Rep1 ViewR a # to1 :: forall (a :: k). Rep1 ViewR a -> ViewR a #
Lift a => Lift (ViewR a :: Type)	Since: containers-0.6.6
Instance details Defined in Data.Sequence.Internal Methods lift :: Quote m => ViewR a -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => ViewR a -> Code m (ViewR a) #
Data a => Data (ViewR a)
Instance details Defined in Data.Sequence.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ViewR a -> c (ViewR a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (ViewR a) # toConstr :: ViewR a -> Constr # dataTypeOf :: ViewR a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (ViewR a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (ViewR a)) # gmapT :: (forall b. Data b => b -> b) -> ViewR a -> ViewR a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ViewR a -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ViewR a -> r # gmapQ :: (forall d. Data d => d -> u) -> ViewR a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ViewR a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ViewR a -> m (ViewR a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewR a -> m (ViewR a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewR a -> m (ViewR a) #
Generic (ViewR a)
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (ViewR a) :: Type -> Type # Methods from :: ViewR a -> Rep (ViewR a) x # to :: Rep (ViewR a) x -> ViewR a #
Read a => Read (ViewR a)
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (ViewR a) # readList :: ReadS [ViewR a] # readPrec :: ReadPrec (ViewR a) # readListPrec :: ReadPrec [ViewR a] #
Show a => Show (ViewR a)
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> ViewR a -> ShowS # show :: ViewR a -> String # showList :: [ViewR a] -> ShowS #
Eq a => Eq (ViewR a)
Instance details Defined in Data.Sequence.Internal Methods (==) :: ViewR a -> ViewR a -> Bool # (/=) :: ViewR a -> ViewR a -> Bool #
Ord a => Ord (ViewR a)
Instance details Defined in Data.Sequence.Internal Methods compare :: ViewR a -> ViewR a -> Ordering # (<) :: ViewR a -> ViewR a -> Bool # (<=) :: ViewR a -> ViewR a -> Bool # (>) :: ViewR a -> ViewR a -> Bool # (>=) :: ViewR a -> ViewR a -> Bool # max :: ViewR a -> ViewR a -> ViewR a # min :: ViewR a -> ViewR a -> ViewR a #
type Rep1 ViewR	Since: containers-0.5.8
Instance details Defined in Data.Sequence.Internal type Rep1 ViewR = D1 ('MetaData "ViewR" "Data.Sequence.Internal" "containers-0.6.7" 'False) (C1 ('MetaCons "EmptyR" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons ":>" ('InfixI 'LeftAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Seq) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))
type Rep (ViewR a)	Since: containers-0.5.8
Instance details Defined in Data.Sequence.Internal type Rep (ViewR a) = D1 ('MetaData "ViewR" "Data.Sequence.Internal" "containers-0.6.7" 'False) (C1 ('MetaCons "EmptyR" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons ":>" ('InfixI 'LeftAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Seq a)) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

data ViewL a #

View of the left end of a sequence.

Constructors

EmptyL	empty sequence
a :< (Seq a) infixr 5	leftmost element and the rest of the sequence

Instances

Instances details

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 #
Traversable ViewL
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> ViewL a -> f (ViewL b) # sequenceA :: Applicative f => ViewL (f a) -> f (ViewL a) # mapM :: Monad m => (a -> m b) -> ViewL a -> m (ViewL b) # sequence :: Monad m => ViewL (m a) -> m (ViewL a) #
Functor ViewL
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewL a -> ViewL b # (<$) :: a -> ViewL b -> ViewL a #
Generic1 ViewL
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 ViewL :: k -> Type # Methods from1 :: forall (a :: k). ViewL a -> Rep1 ViewL a # to1 :: forall (a :: k). Rep1 ViewL a -> ViewL a #
Lift a => Lift (ViewL a :: Type)	Since: containers-0.6.6
Instance details Defined in Data.Sequence.Internal Methods lift :: Quote m => ViewL a -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => ViewL a -> Code m (ViewL a) #
Data a => Data (ViewL a)
Instance details Defined in Data.Sequence.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> ViewL a -> c (ViewL a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (ViewL a) # toConstr :: ViewL a -> Constr # dataTypeOf :: ViewL a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (ViewL a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (ViewL a)) # gmapT :: (forall b. Data b => b -> b) -> ViewL a -> ViewL a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ViewL a -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ViewL a -> r # gmapQ :: (forall d. Data d => d -> u) -> ViewL a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> ViewL a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ViewL a -> m (ViewL a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewL a -> m (ViewL a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewL a -> m (ViewL a) #
Generic (ViewL a)
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (ViewL a) :: Type -> Type # Methods from :: ViewL a -> Rep (ViewL a) x # to :: Rep (ViewL a) x -> ViewL a #
Read a => Read (ViewL a)
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (ViewL a) # readList :: ReadS [ViewL a] # readPrec :: ReadPrec (ViewL a) # readListPrec :: ReadPrec [ViewL a] #
Show a => Show (ViewL a)
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> ViewL a -> ShowS # show :: ViewL a -> String # showList :: [ViewL a] -> ShowS #
Eq a => Eq (ViewL a)
Instance details Defined in Data.Sequence.Internal Methods (==) :: ViewL a -> ViewL a -> Bool # (/=) :: ViewL a -> ViewL a -> Bool #
Ord a => Ord (ViewL a)
Instance details Defined in Data.Sequence.Internal Methods compare :: ViewL a -> ViewL a -> Ordering # (<) :: ViewL a -> ViewL a -> Bool # (<=) :: ViewL a -> ViewL a -> Bool # (>) :: ViewL a -> ViewL a -> Bool # (>=) :: ViewL a -> ViewL a -> Bool # max :: ViewL a -> ViewL a -> ViewL a # min :: ViewL a -> ViewL a -> ViewL a #
type Rep1 ViewL	Since: containers-0.5.8
Instance details Defined in Data.Sequence.Internal type Rep1 ViewL = D1 ('MetaData "ViewL" "Data.Sequence.Internal" "containers-0.6.7" 'False) (C1 ('MetaCons "EmptyL" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons ":<" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 Seq)))
type Rep (ViewL a)	Since: containers-0.5.8
Instance details Defined in Data.Sequence.Internal type Rep (ViewL a) = D1 ('MetaData "ViewL" "Data.Sequence.Internal" "containers-0.6.7" 'False) (C1 ('MetaCons "EmptyL" 'PrefixI 'False) (U1 :: Type -> Type) :+: C1 ('MetaCons ":<" ('InfixI 'RightAssociative 5) 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Seq a))))

data Seq a where #

General-purpose finite sequences.

Bundled Patterns

pattern Empty :: Seq a

A bidirectional pattern synonym matching an empty sequence.

Since: containers-0.5.8

pattern (:|>) :: Seq a -> a -> Seq a infixl 5

A bidirectional pattern synonym viewing the rear of a non-empty sequence.

Since: containers-0.5.8

pattern (:<|) :: a -> Seq a -> Seq a infixr 5

A bidirectional pattern synonym viewing the front of a non-empty sequence.

Since: containers-0.5.8

Instances

Instances details

MonadFix Seq	Since: containers-0.5.11
Instance details Defined in Data.Sequence.Internal Methods mfix :: (a -> Seq a) -> Seq a #
MonadZip Seq	`mzipWith` = `zipWith` `munzip` = `unzip`
Instance details Defined in Data.Sequence.Internal Methods mzip :: Seq a -> Seq b -> Seq (a, b) # mzipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c # munzip :: Seq (a, b) -> (Seq a, Seq b) #
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 #
Eq1 Seq	Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftEq :: (a -> b -> Bool) -> Seq a -> Seq b -> Bool #
Ord1 Seq	Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftCompare :: (a -> b -> Ordering) -> Seq a -> Seq b -> Ordering #
Read1 Seq	Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Seq a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Seq a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Seq a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Seq a] #
Show1 Seq	Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Seq a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Seq a] -> ShowS #
Traversable Seq
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Seq a -> f (Seq b) # sequenceA :: Applicative f => Seq (f a) -> f (Seq a) # mapM :: Monad m => (a -> m b) -> Seq a -> m (Seq b) # sequence :: Monad m => Seq (m a) -> m (Seq a) #
Alternative Seq	Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods empty :: Seq a # (<\|>) :: Seq a -> Seq a -> Seq a # some :: Seq a -> Seq [a] # many :: Seq a -> Seq [a] #
Applicative Seq	Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods pure :: a -> Seq a # (<>) :: Seq (a -> b) -> Seq a -> Seq b # liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c # (>) :: Seq a -> Seq b -> Seq b # (<*) :: Seq a -> Seq b -> Seq a #
Functor Seq
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Seq a -> Seq b # (<$) :: a -> Seq b -> Seq a #
Monad Seq
Instance details Defined in Data.Sequence.Internal Methods (>>=) :: Seq a -> (a -> Seq b) -> Seq b # (>>) :: Seq a -> Seq b -> Seq b # return :: a -> Seq a #
MonadPlus Seq
Instance details Defined in Data.Sequence.Internal Methods mzero :: Seq a # mplus :: Seq a -> Seq a -> Seq a #
UnzipWith Seq
Instance details Defined in Data.Sequence.Internal Methods unzipWith' :: (x -> (a, b)) -> Seq x -> (Seq a, Seq b)
Lift a => Lift (Seq a :: Type)	Since: containers-0.6.6
Instance details Defined in Data.Sequence.Internal Methods lift :: Quote m => Seq a -> m Exp # liftTyped :: forall (m :: Type -> Type). Quote m => Seq a -> Code m (Seq a) #
Data a => Data (Seq a)
Instance details Defined in Data.Sequence.Internal Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Seq a -> c (Seq a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Seq a) # toConstr :: Seq a -> Constr # dataTypeOf :: Seq a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Seq a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Seq a)) # gmapT :: (forall b. Data b => b -> b) -> Seq a -> Seq a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r # gmapQ :: (forall d. Data d => d -> u) -> Seq a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Seq a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) #
a ~ Char => IsString (Seq a)	Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a #
Monoid (Seq a)
Instance details Defined in Data.Sequence.Internal Methods mempty :: Seq a # mappend :: Seq a -> Seq a -> Seq a # mconcat :: [Seq a] -> Seq a #
Semigroup (Seq a)	Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods (<>) :: Seq a -> Seq a -> Seq a # sconcat :: NonEmpty (Seq a) -> Seq a # stimes :: Integral b => b -> Seq a -> Seq a #
IsList (Seq a)
Instance details Defined in Data.Sequence.Internal Associated Types type Item (Seq a) # Methods fromList :: [Item (Seq a)] -> Seq a # fromListN :: Int -> [Item (Seq a)] -> Seq a # toList :: Seq a -> [Item (Seq a)] #
Read a => Read (Seq a)
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (Seq a) # readList :: ReadS [Seq a] # readPrec :: ReadPrec (Seq a) # readListPrec :: ReadPrec [Seq a] #
Show a => Show (Seq a)
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> Seq a -> ShowS # show :: Seq a -> String # showList :: [Seq a] -> ShowS #
NFData a => NFData (Seq a)
Instance details Defined in Data.Sequence.Internal Methods rnf :: Seq a -> () #
Eq a => Eq (Seq a)
Instance details Defined in Data.Sequence.Internal Methods (==) :: Seq a -> Seq a -> Bool # (/=) :: Seq a -> Seq a -> Bool #
Ord a => Ord (Seq a)
Instance details Defined in Data.Sequence.Internal Methods compare :: Seq a -> Seq a -> Ordering # (<) :: Seq a -> Seq a -> Bool # (<=) :: Seq a -> Seq a -> Bool # (>) :: Seq a -> Seq a -> Bool # (>=) :: Seq a -> Seq a -> Bool # max :: Seq a -> Seq a -> Seq a # min :: Seq a -> Seq a -> Seq a #
type Item (Seq a)
Instance details Defined in Data.Sequence.Internal type Item (Seq a) = a

zipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c #

$ O(\min(n_1,n_2)) $. zipWith generalizes zip by zipping with the function given as the first argument, instead of a tupling function. For example, zipWith (+) is applied to two sequences to take the sequence of corresponding sums.

sortBy :: (a -> a -> Ordering) -> Seq a -> Seq a #

$ O(n \log n) $. sortBy sorts the specified Seq according to the specified comparator. The sort is stable. If stability is not required, unstableSortBy can be slightly faster.

Since: containers-0.3.0

length :: Seq a -> Int #

$ O(1) $. The number of elements in the sequence.

filter :: (a -> Bool) -> Seq a -> Seq a #

$ O(n) $. The filter function takes a predicate p and a sequence xs and returns a sequence of those elements which satisfy the predicate.

unfoldr :: (b -> Maybe (a, b)) -> b -> Seq a #

Builds a sequence from a seed value. Takes time linear in the number of generated elements. WARNING: If the number of generated elements is infinite, this method will not terminate.

sortOn :: Ord b => (a -> b) -> Seq a -> Seq a #

$ O(n \log n) $. sortOn sorts the specified Seq by comparing the results of a key function applied to each element. sortOn f is equivalent to sortBy (compare `on` f), but has the performance advantage of only evaluating f once for each element in the input list. This is called the decorate-sort-undecorate paradigm, or Schwartzian transform.

An example of using sortOn might be to sort a Seq of strings according to their length:

sortOn length (fromList ["alligator", "monkey", "zebra"]) == fromList ["zebra", "monkey", "alligator"]

If, instead, sortBy had been used, length would be evaluated on every comparison, giving $ O(n \log n) $ evaluations, rather than $ O(n) $.

If f is very cheap (for example a record selector, or fst), sortBy (compare `on` f) will be faster than sortOn f.

Since: containers-0.5.11

zip :: Seq a -> Seq b -> Seq (a, b) #

$ O(\min(n_1,n_2)) $. zip takes two sequences and returns a sequence of corresponding pairs. If one input is short, excess elements are discarded from the right end of the longer sequence.

fromList :: [a] -> Seq a #

$ O(n) $. Create a sequence from a finite list of elements. There is a function toList in the opposite direction for all instances of the Foldable class, including Seq.

empty :: Seq a #

$ O(1) $. The empty sequence.

null :: Seq a -> Bool #

$ O(1) $. Is this the empty sequence?

scanl :: (a -> b -> a) -> a -> Seq b -> Seq a #

scanl is similar to foldl, but returns a sequence of reduced values from the left:

scanl f z (fromList [x1, x2, ...]) = fromList [z, z `f` x1, (z `f` x1) `f` x2, ...]

scanl1 :: (a -> a -> a) -> Seq a -> Seq a #

scanl1 is a variant of scanl that has no starting value argument:

scanl1 f (fromList [x1, x2, ...]) = fromList [x1, x1 `f` x2, ...]

scanr :: (a -> b -> b) -> b -> Seq a -> Seq b #

scanr is the right-to-left dual of scanl.

scanr1 :: (a -> a -> a) -> Seq a -> Seq a #

scanr1 is a variant of scanr that has no starting value argument.

replicate :: Int -> a -> Seq a #

$ O(\log n) $. replicate n x is a sequence consisting of n copies of x.

take :: Int -> Seq a -> Seq a #

$ O(\log(\min(i,n-i))) $. The first i elements of a sequence. If i is negative, take i s yields the empty sequence. If the sequence contains fewer than i elements, the whole sequence is returned.

drop :: Int -> Seq a -> Seq a #

$ O(\log(\min(i,n-i))) $. Elements of a sequence after the first i. If i is negative, drop i s yields the whole sequence. If the sequence contains fewer than i elements, the empty sequence is returned.

splitAt :: Int -> Seq a -> (Seq a, Seq a) #

$ O(\log(\min(i,n-i))) $. Split a sequence at a given position. splitAt i s = (take i s, drop i s).

reverse :: Seq a -> Seq a #

$ O(n) $. The reverse of a sequence.

lookup :: Int -> Seq a -> Maybe a #

$ O(\log(\min(i,n-i))) $. The element at the specified position, counting from 0. If the specified position is negative or at least the length of the sequence, lookup returns Nothing.

0 <= i < length xs ==> lookup i xs == Just (toList xs !! i)

i < 0 || i >= length xs ==> lookup i xs = Nothing

Unlike index, this can be used to retrieve an element without forcing it. For example, to insert the fifth element of a sequence xs into a Map m at key k, you could use

case lookup 5 xs of
  Nothing -> m
  Just x -> insert k x m

Since: containers-0.5.8

zip3 :: Seq a -> Seq b -> Seq c -> Seq (a, b, c) #

$ O(\min(n_1,n_2,n_3)) $. zip3 takes three sequences and returns a sequence of triples, analogous to zip.

zipWith3 :: (a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d #

$ O(\min(n_1,n_2,n_3)) $. zipWith3 takes a function which combines three elements, as well as three sequences and returns a sequence of their point-wise combinations, analogous to zipWith.

unzip :: Seq (a, b) -> (Seq a, Seq b) #

Unzip a sequence of pairs.

unzip ps = ps `seq` (fmap fst ps) (fmap snd ps)

Example:

unzip $ fromList [(1,"a"), (2,"b"), (3,"c")] =
  (fromList [1,2,3], fromList ["a", "b", "c"])

See the note about efficiency at unzipWith.

Since: containers-0.5.11

adjust :: (a -> a) -> Int -> Seq a -> Seq a #

$ O(\log(\min(i,n-i))) $. Update the element at the specified position. If the position is out of range, the original sequence is returned. adjust can lead to poor performance and even memory leaks, because it does not force the new value before installing it in the sequence. adjust' should usually be preferred.

Since: containers-0.5.8

intersperse :: a -> Seq a -> Seq a #

$ O(n) $. Intersperse an element between the elements of a sequence.

intersperse a empty = empty
intersperse a (singleton x) = singleton x
intersperse a (fromList [x,y]) = fromList [x,a,y]
intersperse a (fromList [x,y,z]) = fromList [x,a,y,a,z]

Since: containers-0.5.8

partition :: (a -> Bool) -> Seq a -> (Seq a, Seq a) #

$ O(n) $. The partition function takes a predicate p and a sequence xs and returns sequences of those elements which do and do not satisfy the predicate.

zip4 :: Seq a -> Seq b -> Seq c -> Seq d -> Seq (a, b, c, d) #

$ O(\min(n_1,n_2,n_3,n_4)) $. zip4 takes four sequences and returns a sequence of quadruples, analogous to zip.

zipWith4 :: (a -> b -> c -> d -> e) -> Seq a -> Seq b -> Seq c -> Seq d -> Seq e #

$ O(\min(n_1,n_2,n_3,n_4)) $. zipWith4 takes a function which combines four elements, as well as four sequences and returns a sequence of their point-wise combinations, analogous to zipWith.

inits :: Seq a -> Seq (Seq a) #

$ O(n) $. Returns a sequence of all prefixes of this sequence, shortest first. For example,

inits (fromList "abc") = fromList [fromList "", fromList "a", fromList "ab", fromList "abc"]

Evaluating the $ i $th prefix takes $ O(\log(\min(i, n-i))) $, but evaluating every prefix in the sequence takes $ O(n) $ due to sharing.

tails :: Seq a -> Seq (Seq a) #

$ O(n) $. Returns a sequence of all suffixes of this sequence, longest first. For example,

tails (fromList "abc") = fromList [fromList "abc", fromList "bc", fromList "c", fromList ""]

Evaluating the $ i $th suffix takes $ O(\log(\min(i, n-i))) $, but evaluating every suffix in the sequence takes $ O(n) $ due to sharing.

sort :: Ord a => Seq a -> Seq a #

$ O(n \log n) $. sort sorts the specified Seq by the natural ordering of its elements. The sort is stable. If stability is not required, unstableSort can be slightly faster.

Since: containers-0.3.0

singleton :: a -> Seq a #

$ O(1) $. A singleton sequence.

replicateM :: Applicative m => Int -> m a -> m (Seq a) #

replicateM is a sequence counterpart of replicateM.

replicateM n x = sequence (replicate n x)

For base >= 4.8.0 and containers >= 0.5.11, replicateM is a synonym for replicateA.

foldMapWithIndex :: Monoid m => (Int -> a -> m) -> Seq a -> m #

deleteAt :: Int -> Seq a -> Seq a #

$ O(\log(\min(i,n-i))) $. Delete the element of a sequence at a given index. Return the original sequence if the index is out of range.

deleteAt 2 [a,b,c,d] = [a,b,d]
deleteAt 4 [a,b,c,d] = deleteAt (-1) [a,b,c,d] = [a,b,c,d]

Since: containers-0.5.8

replicateA :: Applicative f => Int -> f a -> f (Seq a) #

replicateA is an Applicative version of replicate, and makes $ O(\log n) $ calls to liftA2 and pure.

replicateA n x = sequenceA (replicate n x)

cycleTaking :: Int -> Seq a -> Seq a #

$O(\log k)$. cycleTaking k xs forms a sequence of length k by repeatedly concatenating xs with itself. xs may only be empty if k is 0.

cycleTaking k = fromList . take k . cycle . toList

unfoldl :: (b -> Maybe (b, a)) -> b -> Seq a #

unfoldl f x is equivalent to reverse (unfoldr (fmap swap . f) x).

iterateN :: Int -> (a -> a) -> a -> Seq a #

$ O(n) $. Constructs a sequence by repeated application of a function to a seed value.

iterateN n f x = fromList (Prelude.take n (Prelude.iterate f x))

viewl :: Seq a -> ViewL a #

$ O(1) $. Analyse the left end of a sequence.

viewr :: Seq a -> ViewR a #

$ O(1) $. Analyse the right end of a sequence.

update :: Int -> a -> Seq a -> Seq a #

$ O(\log(\min(i,n-i))) $. Replace the element at the specified position. If the position is out of range, the original sequence is returned.

adjust' :: (a -> a) -> Int -> Seq a -> Seq a #

$ O(\log(\min(i,n-i))) $. Update the element at the specified position. If the position is out of range, the original sequence is returned. The new value is forced before it is installed in the sequence.

adjust' f i xs =
 case xs !? i of
   Nothing -> xs
   Just x -> let !x' = f x
             in update i x' xs

Since: containers-0.5.8

insertAt :: Int -> a -> Seq a -> Seq a #

$ O(\log(\min(i,n-i))) $. insertAt i x xs inserts x into xs at the index i, shifting the rest of the sequence over.

insertAt 2 x (fromList [a,b,c,d]) = fromList [a,b,x,c,d]
insertAt 4 x (fromList [a,b,c,d]) = insertAt 10 x (fromList [a,b,c,d])
                                  = fromList [a,b,c,d,x]

insertAt i x xs = take i xs >< singleton x >< drop i xs

Since: containers-0.5.8

mapWithIndex :: (Int -> a -> b) -> Seq a -> Seq b #

A generalization of fmap, mapWithIndex takes a mapping function that also depends on the element's index, and applies it to every element in the sequence.

traverseWithIndex :: Applicative f => (Int -> a -> f b) -> Seq a -> f (Seq b) #

traverseWithIndex is a version of traverse that also offers access to the index of each element.

Since: containers-0.5.8

fromFunction :: Int -> (Int -> a) -> Seq a #

$ O(n) $. Convert a given sequence length and a function representing that sequence into a sequence.

Since: containers-0.5.6.2

fromArray :: Ix i => Array i a -> Seq a #

$ O(n) $. Create a sequence consisting of the elements of an Array. Note that the resulting sequence elements may be evaluated lazily (as on GHC), so you must force the entire structure to be sure that the original array can be garbage-collected.

Since: containers-0.5.6.2

chunksOf :: Int -> Seq a -> Seq (Seq a) #

$O \Bigl(\bigl(\frac{n}{c}\bigr) \log c\Bigr)$. chunksOf c xs splits xs into chunks of size c>0. If c does not divide the length of xs evenly, then the last element of the result will be short.

Side note: the given performance bound is missing some messy terms that only really affect edge cases. Performance degrades smoothly from $ O(1) $ (for $ c = n $) to $ O(n) $ (for $ c = 1 $). The true bound is more like $ O \Bigl( \bigl(\frac{n}{c} - 1\bigr) (\log (c + 1)) + 1 \Bigr) $

Since: containers-0.5.8

foldlWithIndex :: (b -> Int -> a -> b) -> b -> Seq a -> b #

foldlWithIndex is a version of foldl that also provides access to the index of each element.

foldrWithIndex :: (Int -> a -> b -> b) -> b -> Seq a -> b #

foldrWithIndex is a version of foldr that also provides access to the index of each element.

takeWhileL :: (a -> Bool) -> Seq a -> Seq a #

$ O(i) $ where $ i $ is the prefix length. takeWhileL, applied to a predicate p and a sequence xs, returns the longest prefix (possibly empty) of xs of elements that satisfy p.

takeWhileR :: (a -> Bool) -> Seq a -> Seq a #

$ O(i) $ where $ i $ is the suffix length. takeWhileR, applied to a predicate p and a sequence xs, returns the longest suffix (possibly empty) of xs of elements that satisfy p.

takeWhileR p xs is equivalent to reverse (takeWhileL p (reverse xs)).

dropWhileL :: (a -> Bool) -> Seq a -> Seq a #

$ O(i) $ where $ i $ is the prefix length. dropWhileL p xs returns the suffix remaining after takeWhileL p xs.

dropWhileR :: (a -> Bool) -> Seq a -> Seq a #

$ O(i) $ where $ i $ is the suffix length. dropWhileR p xs returns the prefix remaining after takeWhileR p xs.

dropWhileR p xs is equivalent to reverse (dropWhileL p (reverse xs)).

spanl :: (a -> Bool) -> Seq a -> (Seq a, Seq a) #

$ O(i) $ where $ i $ is the prefix length. spanl, applied to a predicate p and a sequence xs, returns a pair whose first element is the longest prefix (possibly empty) of xs of elements that satisfy p and the second element is the remainder of the sequence.

spanr :: (a -> Bool) -> Seq a -> (Seq a, Seq a) #

$ O(i) $ where $ i $ is the suffix length. spanr, applied to a predicate p and a sequence xs, returns a pair whose first element is the longest suffix (possibly empty) of xs of elements that satisfy p and the second element is the remainder of the sequence.

breakl :: (a -> Bool) -> Seq a -> (Seq a, Seq a) #

$ O(i) $ where $ i $ is the breakpoint index. breakl, applied to a predicate p and a sequence xs, returns a pair whose first element is the longest prefix (possibly empty) of xs of elements that do not satisfy p and the second element is the remainder of the sequence.

breakl p is equivalent to spanl (not . p).

breakr :: (a -> Bool) -> Seq a -> (Seq a, Seq a) #

breakr p is equivalent to spanr (not . p).

elemIndexL :: Eq a => a -> Seq a -> Maybe Int #

elemIndexL finds the leftmost index of the specified element, if it is present, and otherwise Nothing.

elemIndexR :: Eq a => a -> Seq a -> Maybe Int #

elemIndexR finds the rightmost index of the specified element, if it is present, and otherwise Nothing.

elemIndicesL :: Eq a => a -> Seq a -> [Int] #

elemIndicesL finds the indices of the specified element, from left to right (i.e. in ascending order).

elemIndicesR :: Eq a => a -> Seq a -> [Int] #

elemIndicesR finds the indices of the specified element, from right to left (i.e. in descending order).

findIndexL :: (a -> Bool) -> Seq a -> Maybe Int #

findIndexL p xs finds the index of the leftmost element that satisfies p, if any exist.

findIndexR :: (a -> Bool) -> Seq a -> Maybe Int #

findIndexR p xs finds the index of the rightmost element that satisfies p, if any exist.

findIndicesL :: (a -> Bool) -> Seq a -> [Int] #

findIndicesL p finds all indices of elements that satisfy p, in ascending order.

findIndicesR :: (a -> Bool) -> Seq a -> [Int] #

findIndicesR p finds all indices of elements that satisfy p, in descending order.

unzipWith :: (a -> (b, c)) -> Seq a -> (Seq b, Seq c) #

$ O(n) $. Unzip a sequence using a function to divide elements.

 unzipWith f xs == unzip (fmap f xs)

Efficiency note:

unzipWith produces its two results in lockstep. If you calculate unzipWith f xs and fully force either of the results, then the entire structure of the other one will be built as well. This behavior allows the garbage collector to collect each calculated pair component as soon as it dies, without having to wait for its mate to die. If you do not need this behavior, you may be better off simply calculating the sequence of pairs and using fmap to extract each component sequence.

Since: containers-0.5.11

unstableSort :: Ord a => Seq a -> Seq a #

$ O(n \log n) $. unstableSort sorts the specified Seq by the natural ordering of its elements, but the sort is not stable. This algorithm is frequently faster and uses less memory than sort.

unstableSortBy :: (a -> a -> Ordering) -> Seq a -> Seq a #

$ O(n \log n) $. A generalization of unstableSort, unstableSortBy takes an arbitrary comparator and sorts the specified sequence. The sort is not stable. This algorithm is frequently faster and uses less memory than sortBy.

Since: containers-0.3.0

unstableSortOn :: Ord b => (a -> b) -> Seq a -> Seq a #

$ O(n \log n) $. unstableSortOn sorts the specified Seq by comparing the results of a key function applied to each element. unstableSortOn f is equivalent to unstableSortBy (compare `on` f), but has the performance advantage of only evaluating f once for each element in the input list. This is called the decorate-sort-undecorate paradigm, or Schwartzian transform.

An example of using unstableSortOn might be to sort a Seq of strings according to their length:

unstableSortOn length (fromList ["alligator", "monkey", "zebra"]) == fromList ["zebra", "monkey", "alligator"]

If, instead, unstableSortBy had been used, length would be evaluated on every comparison, giving $ O(n \log n) $ evaluations, rather than $ O(n) $.

If f is very cheap (for example a record selector, or fst), unstableSortBy (compare `on` f) will be faster than unstableSortOn f.

Since: containers-0.5.11

append :: a -> Seq a -> Seq a Source #

Add an element to the right (end) of a sequence

concat :: Seq a -> Seq a -> Seq a Source #

Concatenate two sequences

prepend :: a -> Seq a -> Seq a Source #

Add an element to the left (beginning) of a sequence