Safe Haskell	Safe
Language	Haskell2010

RIO.Seq

Contents

Construction
- Repetition
- Iterative construction
Deconstruction
- Queries
- Views
Scans
Sublists
- Sequential searches
Sorting
Indexing
- Indexing with predicates
Folds
Transformations
- Zips

Description

Seq. Import as:

import qualified RIO.Seq as Seq

Synopsis

data Seq a where
- pattern Empty :: forall a. Seq a
- pattern (:|>) :: forall a. Seq a -> a -> Seq a
- pattern (:<|) :: forall a. a -> Seq a -> Seq a
empty :: Seq a
singleton :: a -> Seq a
(<|) :: a -> Seq a -> Seq a
(|>) :: Seq a -> a -> Seq a
(><) :: Seq a -> Seq a -> Seq a
fromList :: [a] -> Seq a
fromFunction :: Int -> (Int -> a) -> Seq a
fromArray :: Ix i => Array i a -> Seq a
replicate :: Int -> a -> Seq a
replicateA :: Applicative f => Int -> f a -> f (Seq a)
replicateM :: Applicative m => Int -> m a -> m (Seq a)
cycleTaking :: Int -> Seq a -> Seq a
iterateN :: Int -> (a -> a) -> a -> Seq a
unfoldr :: (b -> Maybe (a, b)) -> b -> Seq a
unfoldl :: (b -> Maybe (b, a)) -> b -> Seq a
null :: Seq a -> Bool
length :: Seq a -> Int
data ViewL a
- = EmptyL
- | a :< (Seq a)
viewl :: Seq a -> ViewL a
data ViewR a
- = EmptyR
- | (Seq a) :> a
viewr :: Seq a -> ViewR a
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
tails :: Seq a -> Seq (Seq a)
inits :: Seq a -> Seq (Seq a)
chunksOf :: Int -> Seq a -> Seq (Seq a)
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)
partition :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
filter :: (a -> Bool) -> Seq a -> Seq a
sort :: Ord a => Seq a -> Seq a
sortBy :: (a -> a -> Ordering) -> Seq a -> Seq a
unstableSort :: Ord a => Seq a -> Seq a
unstableSortBy :: (a -> a -> Ordering) -> Seq a -> Seq a
lookup :: Int -> Seq a -> Maybe a
(!?) :: Seq a -> Int -> Maybe a
index :: Seq a -> Int -> a
adjust :: (a -> a) -> Int -> Seq a -> Seq a
adjust' :: (a -> a) -> Int -> Seq a -> Seq a
update :: Int -> a -> Seq a -> Seq a
take :: Int -> Seq a -> Seq a
drop :: Int -> Seq a -> Seq a
insertAt :: Int -> a -> Seq a -> Seq a
deleteAt :: Int -> Seq a -> Seq a
splitAt :: Int -> Seq a -> (Seq a, Seq a)
elemIndexL :: Eq a => a -> Seq a -> Maybe Int
elemIndicesL :: Eq a => a -> Seq a -> [Int]
elemIndexR :: Eq a => a -> Seq a -> Maybe Int
elemIndicesR :: Eq a => a -> Seq a -> [Int]
findIndexL :: (a -> Bool) -> Seq a -> Maybe Int
findIndicesL :: (a -> Bool) -> Seq a -> [Int]
findIndexR :: (a -> Bool) -> Seq a -> Maybe Int
findIndicesR :: (a -> Bool) -> Seq a -> [Int]
foldMapWithIndex :: Monoid m => (Int -> a -> m) -> Seq a -> m
foldlWithIndex :: (b -> Int -> a -> b) -> b -> Seq a -> b
foldrWithIndex :: (Int -> a -> b -> b) -> b -> Seq a -> b
mapWithIndex :: (Int -> a -> b) -> Seq a -> Seq b
traverseWithIndex :: Applicative f => (Int -> a -> f b) -> Seq a -> f (Seq b)
reverse :: Seq a -> Seq a
intersperse :: a -> Seq a -> Seq a
zip :: Seq a -> Seq b -> Seq (a, b)
zipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
zip3 :: Seq a -> Seq b -> Seq c -> Seq (a, b, c)
zipWith3 :: (a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d
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

Documentation

data Seq a where #

General-purpose finite sequences.

Bundled Patterns

pattern Empty :: forall a. Seq a

A bidirectional pattern synonym matching an empty sequence.

Since: containers-0.5.8

pattern (:|>) :: forall a. 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 (:<|) :: forall a. 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

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 # fail :: String -> Seq a #
Functor Seq
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Seq a -> Seq b # (<$) :: a -> Seq b -> Seq a #
MonadFix Seq	Since: containers-0.5.11
Instance details Defined in Data.Sequence.Internal Methods mfix :: (a -> 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 #
Foldable Seq
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m # foldMap :: Monoid m => (a -> m) -> Seq a -> m # foldr :: (a -> b -> b) -> b -> Seq a -> b # foldr' :: (a -> b -> b) -> b -> Seq a -> b # foldl :: (b -> a -> b) -> b -> Seq a -> b # foldl' :: (b -> a -> b) -> b -> Seq a -> b # foldr1 :: (a -> a -> a) -> Seq a -> a # foldl1 :: (a -> a -> a) -> Seq a -> a # toList :: Seq a -> [a] # null :: Seq a -> Bool # length :: Seq a -> Int # elem :: Eq a => a -> Seq a -> Bool # maximum :: Ord a => Seq a -> a # minimum :: Ord a => Seq a -> a # sum :: Num a => Seq a -> a # product :: Num a => Seq a -> a #
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) #
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 #
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) #
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] #
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)
IsList (Seq a)
Instance details Defined in Data.Sequence.Internal Associated Types type Item (Seq a) :: Type # Methods fromList :: [Item (Seq a)] -> Seq a # fromListN :: Int -> [Item (Seq a)] -> Seq a # toList :: Seq a -> [Item (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 #
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 :: (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) #
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 #
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 #
a ~ Char => IsString (Seq a)	Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods fromString :: String -> 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 #
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 #
NFData a => NFData (Seq a)
Instance details Defined in Data.Sequence.Internal Methods rnf :: Seq a -> () #
type Item (Seq a)
Instance details Defined in Data.Sequence.Internal type Item (Seq a) = a

Construction

empty :: Seq a #

$ O(1) $. The empty sequence.

singleton :: a -> Seq a #

$ O(1) $. A singleton sequence.

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

$ O(1) $. Add an element to the left end of a sequence. Mnemonic: a triangle with the single element at the pointy end.

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

$ O(1) $. Add an element to the right end of a sequence. Mnemonic: a triangle with the single element at the pointy end.

(><) :: Seq a -> Seq a -> Seq a infixr 5 #

$ O(\log(\min(n_1,n_2))) $. Concatenate two sequences.

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.

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

Repetition

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

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

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)

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.

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

Iterative construction

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))

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.

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

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

Deconstruction

Additional functions for deconstructing sequences are available via the Foldable instance of Seq.

Queries

null :: Seq a -> Bool #

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

length :: Seq a -> Int #

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

Views

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

Functor ViewL
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewL a -> ViewL b # (<$) :: a -> ViewL b -> ViewL a #
Foldable ViewL
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m # foldMap :: Monoid m => (a -> m) -> ViewL a -> m # foldr :: (a -> b -> b) -> b -> ViewL a -> b # foldr' :: (a -> b -> b) -> b -> ViewL a -> b # foldl :: (b -> a -> b) -> b -> ViewL a -> b # foldl' :: (b -> a -> b) -> b -> ViewL a -> b # foldr1 :: (a -> a -> a) -> ViewL a -> a # foldl1 :: (a -> a -> a) -> ViewL a -> a # toList :: ViewL a -> [a] # null :: ViewL a -> Bool # length :: ViewL a -> Int # elem :: Eq a => a -> ViewL a -> Bool # maximum :: Ord a => ViewL a -> a # minimum :: Ord a => ViewL a -> a # sum :: Num a => ViewL a -> a # product :: Num a => ViewL a -> a #
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) #
Eq a => Eq (ViewL a)
Instance details Defined in Data.Sequence.Internal Methods (==) :: ViewL a -> ViewL a -> Bool # (/=) :: ViewL a -> ViewL a -> Bool #
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 :: (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) #
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 #
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 #
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 #
Generic1 ViewL
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 ViewL :: k -> Type # Methods from1 :: ViewL a -> Rep1 ViewL a # to1 :: Rep1 ViewL a -> ViewL a #
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-0.6.0.1" 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))))
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-0.6.0.1" 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)))

viewl :: Seq a -> ViewL a #

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

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

Functor ViewR
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewR a -> ViewR b # (<$) :: a -> ViewR b -> ViewR a #
Foldable ViewR
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewR m -> m # foldMap :: Monoid m => (a -> m) -> ViewR a -> m # foldr :: (a -> b -> b) -> b -> ViewR a -> b # foldr' :: (a -> b -> b) -> b -> ViewR a -> b # foldl :: (b -> a -> b) -> b -> ViewR a -> b # foldl' :: (b -> a -> b) -> b -> ViewR a -> b # foldr1 :: (a -> a -> a) -> ViewR a -> a # foldl1 :: (a -> a -> a) -> ViewR a -> a # toList :: ViewR a -> [a] # null :: ViewR a -> Bool # length :: ViewR a -> Int # elem :: Eq a => a -> ViewR a -> Bool # maximum :: Ord a => ViewR a -> a # minimum :: Ord a => ViewR a -> a # sum :: Num a => ViewR a -> a # product :: Num a => ViewR a -> a #
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) #
Eq a => Eq (ViewR a)
Instance details Defined in Data.Sequence.Internal Methods (==) :: ViewR a -> ViewR a -> Bool # (/=) :: ViewR a -> ViewR a -> Bool #
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 :: (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) #
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 #
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 #
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 #
Generic1 ViewR
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 ViewR :: k -> Type # Methods from1 :: ViewR a -> Rep1 ViewR a # to1 :: Rep1 ViewR a -> ViewR a #
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-0.6.0.1" 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)))
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-0.6.0.1" 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))

viewr :: Seq a -> ViewR a #

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

Scans

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.

Sublists

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.

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.

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

Sequential searches

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).

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.

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.

Sorting

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

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

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

Indexing

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

(!?) :: Seq a -> Int -> Maybe a #

$ O(\log(\min(i,n-i))) $. A flipped, infix version of lookup.

Since: containers-0.5.8

index :: Seq a -> Int -> a #

$ O(\log(\min(i,n-i))) $. The element at the specified position, counting from 0. The argument should thus be a non-negative integer less than the size of the sequence. If the position is out of range, index fails with an error.

xs `index` i = toList xs !! i

Caution: index necessarily delays retrieving the requested element until the result is forced. It can therefore lead to a space leak if the result is stored, unforced, in another structure. To retrieve an element immediately without forcing it, use lookup or '(!?)'.

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

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

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.

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.

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

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

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).

Indexing with predicates

These functions perform sequential searches from the left or right ends of the sequence elements.

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

elemIndexL finds the leftmost 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).

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

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

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.

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

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

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

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

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

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

Folds

General folds are available via the Foldable instance of Seq.

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

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.

Transformations

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

reverse :: Seq a -> Seq a #

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

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

Zips

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.

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.

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.

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.