Data.Sequence.Internal

containers-0.6.4.1: Assorted concrete container types

Copyright | (c) Ross Paterson 2005 (c) Louis Wasserman 2009 (c) Bertram Felgenhauer David Feuer Ross Paterson and Milan Straka 2014
License | BSD-style
Maintainer | libraries@haskell.org
Portability | portable
Safe Haskell | Trustworthy
Language | Haskell2010

Data.Sequence.Internal

Contents

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

Description

# WARNING

This module is considered internal.

The Package Versioning Policy does not apply.

The contents of this module may change in any way whatsoever and without any warning between minor versions of this package.

Authors importing this module are expected to track development closely.

# Description

General purpose finite sequences. Apart from being finite and having strict operations, sequences also differ from lists in supporting a wider variety of operations efficiently.

An amortized running time is given for each operation, with \( n \) referring to the length of the sequence and \( i \) being the integral index used by some operations. These bounds hold even in a persistent (shared) setting.

The implementation uses 2-3 finger trees annotated with sizes, as described in section 4.2 of

- Ralf Hinze and Ross Paterson, "Finger trees: a simple general-purpose data structure", Journal of Functional Programming 16:2 (2006) pp 197-217. http://staff.city.ac.uk/~ross/papers/FingerTree.html

Note: Many of these operations have the same names as similar operations on lists in the Prelude. The ambiguity may be resolved using either qualification or the `hiding` clause.

Warning: The size of a `Seq` must not exceed `maxBound::Int`. Violation of this condition is not detected and if the size limit is exceeded, the behaviour of the sequence is undefined. This is unlikely to occur in most applications, but some care may be required when using `><`, `<*>`, `*>`, or `>>`, particularly repeatedly and particularly in combination with `replicate` or `fromFunction`.

Since: containers-0.5.9

Synopsis

- newtype Elem a = Elem {
  - getElem :: a
  }
- data FingerTree a
  - = EmptyT
  - | Single a
  - | Deep !Int !(Digit a) (FingerTree (Node a)) !(Digit a)
- data Node a
  - = Node2 !Int a a
  - | Node3 !Int a a a
- data Digit a
  - = One a
  - | Two a a
  - | Three a a a
  - | Four a a a a
- class Sized a where
  - size :: a -> Int
- class MaybeForce a
- newtype Seq a where
  - Seq (FingerTree (Elem a))
  - pattern Empty :: Seq a
  - pattern (:<|) :: a -> Seq a -> Seq a
  - pattern (:|>) :: Seq a -> a -> Seq a
- newtype State s a = State {
  - runState :: s -> (s, a)
  }
- execState :: State s a -> s -> a
- foldDigit :: (b -> b -> b) -> (a -> b) -> Digit a -> b
- foldNode :: (b -> b -> b) -> (a -> b) -> Node a -> b
- foldWithIndexDigit :: Sized a => (b -> b -> b) -> (Int -> a -> b) -> Int -> Digit a -> b
- foldWithIndexNode :: Sized a => (m -> m -> m) -> (Int -> a -> m) -> Int -> Node a -> m
- 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
- 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' :: forall a. (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
- liftA2Seq :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
- 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
- unzip :: Seq (a, b) -> (Seq a, Seq b)
- unzipWith :: (a -> (b, c)) -> Seq a -> (Seq b, Seq c)

# Documentation

newtype Elem a #

Constructors

Elem |
Fields getElem :: a

#### Instances

Instances details

Foldable Elem # |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Elem m -> m Source # foldMap :: Monoid m => (a -> m) -> Elem a -> m Source # foldMap' :: Monoid m => (a -> m) -> Elem a -> m Source # foldr :: (a -> b -> b) -> b -> Elem a -> b Source # foldr' :: (a -> b -> b) -> b -> Elem a -> b Source # foldl :: (b -> a -> b) -> b -> Elem a -> b Source # foldl' :: (b -> a -> b) -> b -> Elem a -> b Source # foldr1 :: (a -> a -> a) -> Elem a -> a Source # foldl1 :: (a -> a -> a) -> Elem a -> a Source # toList :: Elem a -> [a] Source # null :: Elem a -> Bool Source # length :: Elem a -> Int Source # elem :: Eq a => a -> Elem a -> Bool Source # maximum :: Ord a => Elem a -> a Source # minimum :: Ord a => Elem a -> a Source # sum :: Num a => Elem a -> a Source # product :: Num a => Elem a -> a Source #
Traversable Elem # |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Elem a -> f (Elem b) Source # sequenceA :: Applicative f => Elem (f a) -> f (Elem a) Source # mapM :: Monad m => (a -> m b) -> Elem a -> m (Elem b) Source # sequence :: Monad m => Elem (m a) -> m (Elem a) Source #
Functor Elem # |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Elem a -> Elem b Source # (<$) :: a -> Elem b -> Elem a Source #
Generic (Elem a) # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (Elem a) :: Type -> Type Source # Methods from :: Elem a -> Rep (Elem a) x Source # to :: Rep (Elem a) x -> Elem a Source #
MaybeForce (Elem a) # |
Instance details Defined in Data.Sequence.Internal Methods maybeRwhnf :: Elem a -> ()
Sized (Elem a) # |
Instance details Defined in Data.Sequence.Internal Methods size :: Elem a -> Int #
NFData a => NFData (Elem a) # |
Instance details Defined in Data.Sequence.Internal Methods rnf :: Elem a -> () Source #
Generic1 Elem # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 Elem :: k -> Type Source # Methods from1 :: forall (a :: k). Elem a -> Rep1 Elem a Source # to1 :: forall (a :: k). Rep1 Elem a -> Elem a Source #
type Rep (Elem a) # | Since: containers-0.6.1
Instance details Defined in Data.Sequence.Internal type Rep (Elem a) = D1 ('MetaData "Elem" "Data.Sequence.Internal" "containers-0.6.4.1" 'True) (C1 ('MetaCons "Elem" 'PrefixI 'True) (S1 ('MetaSel ('Just "getElem") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
type Rep1 Elem # | Since: containers-0.6.1
Instance details Defined in Data.Sequence.Internal type Rep1 Elem = D1 ('MetaData "Elem" "Data.Sequence.Internal" "containers-0.6.4.1" 'True) (C1 ('MetaCons "Elem" 'PrefixI 'True) (S1 ('MetaSel ('Just "getElem") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

data FingerTree a #

Constructors

EmptyT |
Single a |
Deep !Int !(Digit a) (FingerTree (Node a)) !(Digit a) |

#### Instances

Instances details

Foldable FingerTree # |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => FingerTree m -> m Source # foldMap :: Monoid m => (a -> m) -> FingerTree a -> m Source # foldMap' :: Monoid m => (a -> m) -> FingerTree a -> m Source # foldr :: (a -> b -> b) -> b -> FingerTree a -> b Source # foldr' :: (a -> b -> b) -> b -> FingerTree a -> b Source # foldl :: (b -> a -> b) -> b -> FingerTree a -> b Source # foldl' :: (b -> a -> b) -> b -> FingerTree a -> b Source # foldr1 :: (a -> a -> a) -> FingerTree a -> a Source # foldl1 :: (a -> a -> a) -> FingerTree a -> a Source # toList :: FingerTree a -> [a] Source # null :: FingerTree a -> Bool Source # length :: FingerTree a -> Int Source # elem :: Eq a => a -> FingerTree a -> Bool Source # maximum :: Ord a => FingerTree a -> a Source # minimum :: Ord a => FingerTree a -> a Source # sum :: Num a => FingerTree a -> a Source # product :: Num a => FingerTree a -> a Source #
Traversable FingerTree # |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> FingerTree a -> f (FingerTree b) Source # sequenceA :: Applicative f => FingerTree (f a) -> f (FingerTree a) Source # mapM :: Monad m => (a -> m b) -> FingerTree a -> m (FingerTree b) Source # sequence :: Monad m => FingerTree (m a) -> m (FingerTree a) Source #
Functor FingerTree # |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> FingerTree a -> FingerTree b Source # (<$) :: a -> FingerTree b -> FingerTree a Source #
Generic (FingerTree a) # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (FingerTree a) :: Type -> Type Source # Methods from :: FingerTree a -> Rep (FingerTree a) x Source # to :: Rep (FingerTree a) x -> FingerTree a Source #
Sized a => Sized (FingerTree a) # |
Instance details Defined in Data.Sequence.Internal Methods size :: FingerTree a -> Int #
NFData a => NFData (FingerTree a) # |
Instance details Defined in Data.Sequence.Internal Methods rnf :: FingerTree a -> () Source #
Generic1 FingerTree # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 FingerTree :: k -> Type Source # Methods from1 :: forall (a :: k). FingerTree a -> Rep1 FingerTree a Source # to1 :: forall (a :: k). Rep1 FingerTree a -> FingerTree a Source #
type Rep (FingerTree a) # | Since: containers-0.6.1
Instance details Defined in Data.Sequence.Internal type Rep (FingerTree a) = D1 ('MetaData "FingerTree" "Data.Sequence.Internal" "containers-0.6.4.1" 'False) (C1 ('MetaCons "EmptyT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "Single" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :+: C1 ('MetaCons "Deep" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Int) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 (Digit a))) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (FingerTree (Node a))) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec0 (Digit a))))))
type Rep1 FingerTree # | Since: containers-0.6.1
Instance details Defined in Data.Sequence.Internal type Rep1 FingerTree = D1 ('MetaData "FingerTree" "Data.Sequence.Internal" "containers-0.6.4.1" 'False) (C1 ('MetaCons "EmptyT" 'PrefixI 'False) (U1 :: Type -> Type) :+: (C1 ('MetaCons "Single" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1) :+: C1 ('MetaCons "Deep" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Int) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec1 Digit)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (FingerTree :.: Rec1 Node) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'SourceStrict 'DecidedStrict) (Rec1 Digit)))))

data Node a #

Constructors

Node2 !Int a a |
Node3 !Int a a a |

#### Instances

Instances details

Foldable Node # |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Node m -> m Source # foldMap :: Monoid m => (a -> m) -> Node a -> m Source # foldMap' :: Monoid m => (a -> m) -> Node a -> m Source # foldr :: (a -> b -> b) -> b -> Node a -> b Source # foldr' :: (a -> b -> b) -> b -> Node a -> b Source # foldl :: (b -> a -> b) -> b -> Node a -> b Source # foldl' :: (b -> a -> b) -> b -> Node a -> b Source # foldr1 :: (a -> a -> a) -> Node a -> a Source # foldl1 :: (a -> a -> a) -> Node a -> a Source # toList :: Node a -> [a] Source # null :: Node a -> Bool Source # length :: Node a -> Int Source # elem :: Eq a => a -> Node a -> Bool Source # maximum :: Ord a => Node a -> a Source # minimum :: Ord a => Node a -> a Source # sum :: Num a => Node a -> a Source # product :: Num a => Node a -> a Source #
Traversable Node # |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Node a -> f (Node b) Source # sequenceA :: Applicative f => Node (f a) -> f (Node a) Source # mapM :: Monad m => (a -> m b) -> Node a -> m (Node b) Source # sequence :: Monad m => Node (m a) -> m (Node a) Source #
Functor Node # |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Node a -> Node b Source # (<$) :: a -> Node b -> Node a Source #
Generic (Node a) # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (Node a) :: Type -> Type Source # Methods from :: Node a -> Rep (Node a) x Source # to :: Rep (Node a) x -> Node a Source #
MaybeForce (Node a) # |
Instance details Defined in Data.Sequence.Internal Methods maybeRwhnf :: Node a -> ()
Sized (Node a) # |
Instance details Defined in Data.Sequence.Internal Methods size :: Node a -> Int #
NFData a => NFData (Node a) # |
Instance details Defined in Data.Sequence.Internal Methods rnf :: Node a -> () Source #
Generic1 Node # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 Node :: k -> Type Source # Methods from1 :: forall (a :: k). Node a -> Rep1 Node a Source # to1 :: forall (a :: k). Rep1 Node a -> Node a Source #
type Rep (Node a) # | Since: containers-0.6.1
Instance details Defined in Data.Sequence.Internal type Rep (Node a) = D1 ('MetaData "Node" "Data.Sequence.Internal" "containers-0.6.4.1" 'False) (C1 ('MetaCons "Node2" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Int) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a))) :+: C1 ('MetaCons "Node3" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Int) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a))))
type Rep1 Node # | Since: containers-0.6.1
Instance details Defined in Data.Sequence.Internal type Rep1 Node = D1 ('MetaData "Node" "Data.Sequence.Internal" "containers-0.6.4.1" 'False) (C1 ('MetaCons "Node2" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Int) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)) :+: C1 ('MetaCons "Node3" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Int) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)))

data Digit a #

Constructors

One a |
Two a a |
Three a a a |
Four a a a a |

#### Instances

Instances details

Foldable Digit # |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Digit m -> m Source # foldMap :: Monoid m => (a -> m) -> Digit a -> m Source # foldMap' :: Monoid m => (a -> m) -> Digit a -> m Source # foldr :: (a -> b -> b) -> b -> Digit a -> b Source # foldr' :: (a -> b -> b) -> b -> Digit a -> b Source # foldl :: (b -> a -> b) -> b -> Digit a -> b Source # foldl' :: (b -> a -> b) -> b -> Digit a -> b Source # foldr1 :: (a -> a -> a) -> Digit a -> a Source # foldl1 :: (a -> a -> a) -> Digit a -> a Source # toList :: Digit a -> [a] Source # null :: Digit a -> Bool Source # length :: Digit a -> Int Source # elem :: Eq a => a -> Digit a -> Bool Source # maximum :: Ord a => Digit a -> a Source # minimum :: Ord a => Digit a -> a Source # sum :: Num a => Digit a -> a Source # product :: Num a => Digit a -> a Source #
Traversable Digit # |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Digit a -> f (Digit b) Source # sequenceA :: Applicative f => Digit (f a) -> f (Digit a) Source # mapM :: Monad m => (a -> m b) -> Digit a -> m (Digit b) Source # sequence :: Monad m => Digit (m a) -> m (Digit a) Source #
Functor Digit # |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Digit a -> Digit b Source # (<$) :: a -> Digit b -> Digit a Source #
Generic (Digit a) # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (Digit a) :: Type -> Type Source # Methods from :: Digit a -> Rep (Digit a) x Source # to :: Rep (Digit a) x -> Digit a Source #
Sized a => Sized (Digit a) # |
Instance details Defined in Data.Sequence.Internal Methods size :: Digit a -> Int #
NFData a => NFData (Digit a) # |
Instance details Defined in Data.Sequence.Internal Methods rnf :: Digit a -> () Source #
Generic1 Digit # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 Digit :: k -> Type Source # Methods from1 :: forall (a :: k). Digit a -> Rep1 Digit a Source # to1 :: forall (a :: k). Rep1 Digit a -> Digit a Source #
type Rep (Digit a) # | Since: containers-0.6.1
Instance details Defined in Data.Sequence.Internal type Rep (Digit a) = D1 ('MetaData "Digit" "Data.Sequence.Internal" "containers-0.6.4.1" 'False) ((C1 ('MetaCons "One" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :+: C1 ('MetaCons "Two" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a))) :+: (C1 ('MetaCons "Three" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a))) :+: C1 ('MetaCons "Four" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))))
type Rep1 Digit # | Since: containers-0.6.1
Instance details Defined in Data.Sequence.Internal type Rep1 Digit = D1 ('MetaData "Digit" "Data.Sequence.Internal" "containers-0.6.4.1" 'False) ((C1 ('MetaCons "One" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1) :+: C1 ('MetaCons "Two" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)) :+: (C1 ('MetaCons "Three" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1)) :+: C1 ('MetaCons "Four" 'PrefixI 'False) ((S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1) :*: (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1 :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))))

class Sized a where #

Methods

size :: a -> Int #

#### Instances

Instances details

Sized a => Sized (Digit a) # |
Instance details Defined in Data.Sequence.Internal Methods size :: Digit a -> Int #
Sized (Elem a) # |
Instance details Defined in Data.Sequence.Internal Methods size :: Elem a -> Int #
Sized a => Sized (FingerTree a) # |
Instance details Defined in Data.Sequence.Internal Methods size :: FingerTree a -> Int #
Sized (Node a) # |
Instance details Defined in Data.Sequence.Internal Methods size :: Node a -> Int #

class MaybeForce a #

Minimal complete definition

maybeRwhnf

#### Instances

Instances details

MaybeForce (Elem a) # |
Instance details Defined in Data.Sequence.Internal Methods maybeRwhnf :: Elem a -> ()
MaybeForce (Node a) # |
Instance details Defined in Data.Sequence.Internal Methods maybeRwhnf :: Node a -> ()

newtype Seq a #

General-purpose finite sequences.

Constructors

Seq (FingerTree (Elem a)) |

Bundled Patterns

pattern Empty :: Seq a | A bidirectional pattern synonym matching an 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
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

#### Instances

Instances details

MonadFix Seq # | Since: containers-0.5.11
Instance details Defined in Data.Sequence.Internal Methods mfix :: (a -> Seq a) -> Seq a Source #
MonadZip Seq # |
     mzipWith = zipWith
     munzip = unzip
Instance details Defined in Data.Sequence.Internal Methods mzip :: Seq a -> Seq b -> Seq (a, b) Source # mzipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c Source # munzip :: Seq (a, b) -> (Seq a, Seq b) Source #
Foldable Seq # |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => Seq m -> m Source # foldMap :: Monoid m => (a -> m) -> Seq a -> m Source # foldMap' :: Monoid m => (a -> m) -> Seq a -> m Source # foldr :: (a -> b -> b) -> b -> Seq a -> b Source # foldr' :: (a -> b -> b) -> b -> Seq a -> b Source # foldl :: (b -> a -> b) -> b -> Seq a -> b Source # foldl' :: (b -> a -> b) -> b -> Seq a -> b Source # foldr1 :: (a -> a -> a) -> Seq a -> a Source # foldl1 :: (a -> a -> a) -> Seq a -> a Source # toList :: Seq a -> [a] Source # null :: Seq a -> Bool Source # length :: Seq a -> Int Source # elem :: Eq a => a -> Seq a -> Bool Source # maximum :: Ord a => Seq a -> a Source # minimum :: Ord a => Seq a -> a Source # sum :: Num a => Seq a -> a Source # product :: Num a => Seq a -> a Source #
Eq1 Seq # | Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftEq :: (a -> b -> Bool) -> Seq a -> Seq b -> Bool Source #
Ord1 Seq # | Since: containers-0.5.9
Instance details Defined in Data.Sequence.Internal Methods liftCompare :: (a -> b -> Ordering) -> Seq a -> Seq b -> Ordering Source #
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) Source # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Seq a] Source # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Seq a) Source # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Seq a] Source #
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 Source # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Seq a] -> ShowS Source #
Traversable Seq # |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> Seq a -> f (Seq b) Source # sequenceA :: Applicative f => Seq (f a) -> f (Seq a) Source # mapM :: Monad m => (a -> m b) -> Seq a -> m (Seq b) Source # sequence :: Monad m => Seq (m a) -> m (Seq a) Source #
Alternative Seq # | Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods empty :: Seq a Source # (<|>) :: Seq a -> Seq a -> Seq a Source # some :: Seq a -> Seq [a] Source # many :: Seq a -> Seq [a] Source #
Applicative Seq # | Since: containers-0.5.4
Instance details Defined in Data.Sequence.Internal Methods pure :: a -> Seq a Source # (<*>) :: Seq (a -> b) -> Seq a -> Seq b Source # liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c Source # (*>) :: Seq a -> Seq b -> Seq b Source # (<*) :: Seq a -> Seq b -> Seq a Source #
Functor Seq # |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> Seq a -> Seq b Source # (<$) :: a -> Seq b -> Seq a Source #
Monad Seq # |
Instance details Defined in Data.Sequence.Internal Methods (>>=) :: Seq a -> (a -> Seq b) -> Seq b Source # (>>) :: Seq a -> Seq b -> Seq b Source # return :: a -> Seq a Source #
MonadPlus Seq # |
Instance details Defined in Data.Sequence.Internal Methods mzero :: Seq a Source # mplus :: Seq a -> Seq a -> Seq a Source #
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) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Seq a) Source # toConstr :: Seq a -> Constr Source # dataTypeOf :: Seq a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Seq a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Seq a)) Source # gmapT :: (forall b. Data b => b -> b) -> Seq a -> Seq a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Seq a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> Seq a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> Seq a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Seq a -> m (Seq a) Source #
a ~ Char => IsString (Seq a) # | Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods fromString :: String -> Seq a Source #
Monoid (Seq a) # |
Instance details Defined in Data.Sequence.Internal Methods mempty :: Seq a Source # mappend :: Seq a -> Seq a -> Seq a Source # mconcat :: [Seq a] -> Seq a Source #
Semigroup (Seq a) # | Since: containers-0.5.7
Instance details Defined in Data.Sequence.Internal Methods (<>) :: Seq a -> Seq a -> Seq a Source # sconcat :: NonEmpty (Seq a) -> Seq a Source # stimes :: Integral b => b -> Seq a -> Seq a Source #
IsList (Seq a) # |
Instance details Defined in Data.Sequence.Internal Associated Types type Item (Seq a) Source # Methods fromList :: [Item (Seq a)] -> Seq a Source # fromListN :: Int -> [Item (Seq a)] -> Seq a Source # toList :: Seq a -> [Item (Seq a)] Source #
Read a => Read (Seq a) # |
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (Seq a) Source # readList :: ReadS [Seq a] Source # readPrec :: ReadPrec (Seq a) Source # readListPrec :: ReadPrec [Seq a] Source #
Show a => Show (Seq a) # |
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> Seq a -> ShowS Source # show :: Seq a -> String Source # showList :: [Seq a] -> ShowS Source #
NFData a => NFData (Seq a) # |
Instance details Defined in Data.Sequence.Internal Methods rnf :: Seq a -> () Source #
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

newtype State s a #

Constructors

State |
Fields runState :: s -> (s, a)

#### Instances

Instances details

Applicative (State s) # |
Instance details Defined in Utils.Containers.Internal.State Methods pure :: a -> State s a Source # (<*>) :: State s (a -> b) -> State s a -> State s b Source # liftA2 :: (a -> b -> c) -> State s a -> State s b -> State s c Source # (*>) :: State s a -> State s b -> State s b Source # (<*) :: State s a -> State s b -> State s a Source #
Functor (State s) # |
Instance details Defined in Utils.Containers.Internal.State Methods fmap :: (a -> b) -> State s a -> State s b Source # (<$) :: a -> State s b -> State s a Source #
Monad (State s) # |
Instance details Defined in Utils.Containers.Internal.State Methods (>>=) :: State s a -> (a -> State s b) -> State s b Source # (>>) :: State s a -> State s b -> State s b Source # return :: a -> State s a Source #

execState :: State s a -> s -> a #

foldDigit :: (b -> b -> b) -> (a -> b) -> Digit a -> b #

foldNode :: (b -> b -> b) -> (a -> b) -> Node a -> b #

foldWithIndexDigit :: Sized a => (b -> b -> b) -> (Int -> a -> b) -> Int -> Digit a -> b #

foldWithIndexNode :: Sized a => (m -> m -> m) -> (Int -> a -> m) -> Int -> Node a -> m #

# 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

Instances details

Foldable ViewL # |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewL m -> m Source # foldMap :: Monoid m => (a -> m) -> ViewL a -> m Source # foldMap' :: Monoid m => (a -> m) -> ViewL a -> m Source # foldr :: (a -> b -> b) -> b -> ViewL a -> b Source # foldr' :: (a -> b -> b) -> b -> ViewL a -> b Source # foldl :: (b -> a -> b) -> b -> ViewL a -> b Source # foldl' :: (b -> a -> b) -> b -> ViewL a -> b Source # foldr1 :: (a -> a -> a) -> ViewL a -> a Source # foldl1 :: (a -> a -> a) -> ViewL a -> a Source # toList :: ViewL a -> [a] Source # null :: ViewL a -> Bool Source # length :: ViewL a -> Int Source # elem :: Eq a => a -> ViewL a -> Bool Source # maximum :: Ord a => ViewL a -> a Source # minimum :: Ord a => ViewL a -> a Source # sum :: Num a => ViewL a -> a Source # product :: Num a => ViewL a -> a Source #
Traversable ViewL # |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> ViewL a -> f (ViewL b) Source # sequenceA :: Applicative f => ViewL (f a) -> f (ViewL a) Source # mapM :: Monad m => (a -> m b) -> ViewL a -> m (ViewL b) Source # sequence :: Monad m => ViewL (m a) -> m (ViewL a) Source #
Functor ViewL # |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewL a -> ViewL b Source # (<$) :: a -> ViewL b -> ViewL a Source #
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) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (ViewL a) Source # toConstr :: ViewL a -> Constr Source # dataTypeOf :: ViewL a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (ViewL a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (ViewL a)) Source # gmapT :: (forall b. Data b => b -> b) -> ViewL a -> ViewL a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ViewL a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ViewL a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> ViewL a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> ViewL a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ViewL a -> m (ViewL a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewL a -> m (ViewL a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewL a -> m (ViewL a) Source #
Generic (ViewL a) # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (ViewL a) :: Type -> Type Source # Methods from :: ViewL a -> Rep (ViewL a) x Source # to :: Rep (ViewL a) x -> ViewL a Source #
Read a => Read (ViewL a) # |
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (ViewL a) Source # readList :: ReadS [ViewL a] Source # readPrec :: ReadPrec (ViewL a) Source # readListPrec :: ReadPrec [ViewL a] Source #
Show a => Show (ViewL a) # |
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> ViewL a -> ShowS Source # show :: ViewL a -> String Source # showList :: [ViewL a] -> ShowS Source #
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 #
Generic1 ViewL # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 ViewL :: k -> Type Source # Methods from1 :: forall (a :: k). ViewL a -> Rep1 ViewL a Source # to1 :: forall (a :: k). Rep1 ViewL a -> ViewL a Source #
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-0.6.4.1" '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-0.6.4.1" '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

Instances details

Foldable ViewR # |
Instance details Defined in Data.Sequence.Internal Methods fold :: Monoid m => ViewR m -> m Source # foldMap :: Monoid m => (a -> m) -> ViewR a -> m Source # foldMap' :: Monoid m => (a -> m) -> ViewR a -> m Source # foldr :: (a -> b -> b) -> b -> ViewR a -> b Source # foldr' :: (a -> b -> b) -> b -> ViewR a -> b Source # foldl :: (b -> a -> b) -> b -> ViewR a -> b Source # foldl' :: (b -> a -> b) -> b -> ViewR a -> b Source # foldr1 :: (a -> a -> a) -> ViewR a -> a Source # foldl1 :: (a -> a -> a) -> ViewR a -> a Source # toList :: ViewR a -> [a] Source # null :: ViewR a -> Bool Source # length :: ViewR a -> Int Source # elem :: Eq a => a -> ViewR a -> Bool Source # maximum :: Ord a => ViewR a -> a Source # minimum :: Ord a => ViewR a -> a Source # sum :: Num a => ViewR a -> a Source # product :: Num a => ViewR a -> a Source #
Traversable ViewR # |
Instance details Defined in Data.Sequence.Internal Methods traverse :: Applicative f => (a -> f b) -> ViewR a -> f (ViewR b) Source # sequenceA :: Applicative f => ViewR (f a) -> f (ViewR a) Source # mapM :: Monad m => (a -> m b) -> ViewR a -> m (ViewR b) Source # sequence :: Monad m => ViewR (m a) -> m (ViewR a) Source #
Functor ViewR # |
Instance details Defined in Data.Sequence.Internal Methods fmap :: (a -> b) -> ViewR a -> ViewR b Source # (<$) :: a -> ViewR b -> ViewR a Source #
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) Source # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (ViewR a) Source # toConstr :: ViewR a -> Constr Source # dataTypeOf :: ViewR a -> DataType Source # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (ViewR a)) Source # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (ViewR a)) Source # gmapT :: (forall b. Data b => b -> b) -> ViewR a -> ViewR a Source # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> ViewR a -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> ViewR a -> r Source # gmapQ :: (forall d. Data d => d -> u) -> ViewR a -> [u] Source # gmapQi :: Int -> (forall d. Data d => d -> u) -> ViewR a -> u Source # gmapM :: Monad m => (forall d. Data d => d -> m d) -> ViewR a -> m (ViewR a) Source # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewR a -> m (ViewR a) Source # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> ViewR a -> m (ViewR a) Source #
Generic (ViewR a) # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep (ViewR a) :: Type -> Type Source # Methods from :: ViewR a -> Rep (ViewR a) x Source # to :: Rep (ViewR a) x -> ViewR a Source #
Read a => Read (ViewR a) # |
Instance details Defined in Data.Sequence.Internal Methods readsPrec :: Int -> ReadS (ViewR a) Source # readList :: ReadS [ViewR a] Source # readPrec :: ReadPrec (ViewR a) Source # readListPrec :: ReadPrec [ViewR a] Source #
Show a => Show (ViewR a) # |
Instance details Defined in Data.Sequence.Internal Methods showsPrec :: Int -> ViewR a -> ShowS Source # show :: ViewR a -> String Source # showList :: [ViewR a] -> ShowS Source #
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 #
Generic1 ViewR # |
Instance details Defined in Data.Sequence.Internal Associated Types type Rep1 ViewR :: k -> Type Source # Methods from1 :: forall (a :: k). ViewR a -> Rep1 ViewR a Source # to1 :: forall (a :: k). Rep1 ViewR a -> ViewR a Source #
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-0.6.4.1" '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-0.6.4.1" '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.

# 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' :: forall a. (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, returning indices of matching 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

liftA2Seq :: (a -> b -> c) -> Seq a -> Seq b -> Seq c #

## Zips and unzips

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`.

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

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