vector-0.13.1.0: Efficient Arrays

Copyright | (c) Roman Leshchinskiy 2008-2010 Alexey Kuleshevich 2020-2022 Aleksey Khudyakov 2020-2022 Andrew Lelechenko 2020-2022
License | BSD-style
Maintainer | Haskell Libraries Team <libraries@haskell.org>
Stability | experimental
Portability | non-portable
Safe Haskell | None
Language | Haskell2010

Data.Vector

Contents

- Boxed vectors
- Accessors
  - Length information
  - Indexing
  - Monadic indexing
  - Extracting subvectors (slicing)
- Construction
  - Initialisation
  - Monadic initialisation
  - Unfolding
  - Enumeration
  - Concatenation
  - Restricting memory usage
- Modifying vectors
  - Bulk updates
  - Accumulations
  - Permutations
  - Safe destructive updates
- Elementwise operations
  - Indexing
  - Mapping
  - Monadic mapping
  - Zipping
  - Monadic zipping
  - Unzipping
- Working with predicates
  - Filtering
  - Partitioning
  - Searching
- Folding
  - Specialised folds
  - Monadic folds
  - Monadic sequencing
- Scans
  - Comparisons
- Conversions
  - Lists
  - Arrays
  - Other vector types
  - Mutable vectors

Description

A library for boxed vectors (that is, polymorphic arrays capable of holding any Haskell value). The vectors come in two flavours:

- mutable
- immutable

They support a rich interface of both list-like operations and bulk array operations.

For unboxed arrays, use Data.Vector.Unboxed.

Synopsis

- data Vector a
- data MVector s a
- length :: Vector a -> Int
- null :: Vector a -> Bool
- (!) :: Vector a -> Int -> a
- (!?) :: Vector a -> Int -> Maybe a
- head :: Vector a -> a
- last :: Vector a -> a
- unsafeIndex :: Vector a -> Int -> a
- unsafeHead :: Vector a -> a
- unsafeLast :: Vector a -> a
- indexM :: Monad m => Vector a -> Int -> m a
- headM :: Monad m => Vector a -> m a
- lastM :: Monad m => Vector a -> m a
- unsafeIndexM :: Monad m => Vector a -> Int -> m a
- unsafeHeadM :: Monad m => Vector a -> m a
- unsafeLastM :: Monad m => Vector a -> m a
- slice :: Int -> Int -> Vector a -> Vector a
- init :: Vector a -> Vector a
- tail :: Vector a -> Vector a
- take :: Int -> Vector a -> Vector a
- drop :: Int -> Vector a -> Vector a
- splitAt :: Int -> Vector a -> (Vector a, Vector a)
- uncons :: Vector a -> Maybe (a, Vector a)
- unsnoc :: Vector a -> Maybe (Vector a, a)
- unsafeSlice :: Int -> Int -> Vector a -> Vector a
- unsafeInit :: Vector a -> Vector a
- unsafeTail :: Vector a -> Vector a
- unsafeTake :: Int -> Vector a -> Vector a
- unsafeDrop :: Int -> Vector a -> Vector a
- empty :: Vector a
- singleton :: a -> Vector a
- replicate :: Int -> a -> Vector a
- generate :: Int -> (Int -> a) -> Vector a
- iterateN :: Int -> (a -> a) -> a -> Vector a
- replicateM :: Monad m => Int -> m a -> m (Vector a)
- generateM :: Monad m => Int -> (Int -> m a) -> m (Vector a)
- iterateNM :: Monad m => Int -> (a -> m a) -> a -> m (Vector a)
- create :: (forall s. ST s (MVector s a)) -> Vector a
- createT :: Traversable f => (forall s. ST s (f (MVector s a))) -> f (Vector a)
- unfoldr :: (b -> Maybe (a, b)) -> b -> Vector a
- unfoldrN :: Int -> (b -> Maybe (a, b)) -> b -> Vector a
- unfoldrExactN :: Int -> (b -> (a, b)) -> b -> Vector a
- unfoldrM :: Monad m => (b -> m (Maybe (a, b))) -> b -> m (Vector a)
- unfoldrNM :: Monad m => Int -> (b -> m (Maybe (a, b))) -> b -> m (Vector a)
- unfoldrExactNM :: Monad m => Int -> (b -> m (a, b)) -> b -> m (Vector a)
- constructN :: Int -> (Vector a -> a) -> Vector a
- constructrN :: Int -> (Vector a -> a) -> Vector a
- enumFromN :: Num a => a -> Int -> Vector a
- enumFromStepN :: Num a => a -> a -> Int -> Vector a
- enumFromTo :: Enum a => a -> a -> Vector a
- enumFromThenTo :: Enum a => a -> a -> a -> Vector a
- cons :: a -> Vector a -> Vector a
- snoc :: Vector a -> a -> Vector a
- (++) :: Vector a -> Vector a -> Vector a
- concat :: [Vector a] -> Vector a
- force :: Vector a -> Vector a
- (//) :: Vector a -> [(Int, a)] -> Vector a
- update :: Vector a -> Vector (Int, a) -> Vector a
- update_ :: Vector a -> Vector Int -> Vector a -> Vector a
- unsafeUpd :: Vector a -> [(Int, a)] -> Vector a
- unsafeUpdate :: Vector a -> Vector (Int, a) -> Vector a
- unsafeUpdate_ :: Vector a -> Vector Int -> Vector a -> Vector a
- accum :: (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a
- accumulate :: (a -> b -> a) -> Vector a -> Vector (Int, b) -> Vector a
- accumulate_ :: (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a
- unsafeAccum :: (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a
- unsafeAccumulate :: (a -> b -> a) -> Vector a -> Vector (Int, b) -> Vector a
- unsafeAccumulate_ :: (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a
- reverse :: Vector a -> Vector a
- backpermute :: Vector a -> Vector Int -> Vector a
- unsafeBackpermute :: Vector a -> Vector Int -> Vector a
- modify :: (forall s. MVector s a -> ST s ()) -> Vector a -> Vector a
- indexed :: Vector a -> Vector (Int, a)
- map :: (a -> b) -> Vector a -> Vector b
- imap :: (Int -> a -> b) -> Vector a -> Vector b
- concatMap :: (a -> Vector b) -> Vector a -> Vector b
- mapM :: Monad m => (a -> m b) -> Vector a -> m (Vector b)
- imapM :: Monad m => (Int -> a -> m b) -> Vector a -> m (Vector b)
- mapM_ :: Monad m => (a -> m b) -> Vector a -> m ()
- imapM_ :: Monad m => (Int -> a -> m b) -> Vector a -> m ()
- forM :: Monad m => Vector a -> (a -> m b) -> m (Vector b)
- forM_ :: Monad m => Vector a -> (a -> m b) -> m ()
- iforM :: Monad m => Vector a -> (Int -> a -> m b) -> m (Vector b)
- iforM_ :: Monad m => Vector a -> (Int -> a -> m b) -> m ()
- zipWith :: (a -> b -> c) -> Vector a -> Vector b -> Vector c
- zipWith3 :: (a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d
- zipWith4 :: (a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
- zipWith5 :: (a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f
- zipWith6 :: (a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g
- izipWith :: (Int -> a -> b -> c) -> Vector a -> Vector b -> Vector c
- izipWith3 :: (Int -> a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d
- izipWith4 :: (Int -> a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
- izipWith5 :: (Int -> a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f
- izipWith6 :: (Int -> a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g
- zip :: Vector a -> Vector b -> Vector (a, b)
- zip3 :: Vector a -> Vector b -> Vector c -> Vector (a, b, c)
- zip4 :: Vector a -> Vector b -> Vector c -> Vector d -> Vector (a, b, c, d)
- zip5 :: Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector (a, b, c, d, e)
- zip6 :: Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector (a, b, c, d, e, f)
- zipWithM :: Monad m => (a -> b -> m c) -> Vector a -> Vector b -> m (Vector c)
- izipWithM :: Monad m => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m (Vector c)
- zipWithM_ :: Monad m => (a -> b -> m c) -> Vector a -> Vector b -> m ()
- izipWithM_ :: Monad m => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m ()
- unzip :: Vector (a, b) -> (Vector a, Vector b)
- unzip3 :: Vector (a, b, c) -> (Vector a, Vector b, Vector c)
- unzip4 :: Vector (a, b, c, d) -> (Vector a, Vector b, Vector c, Vector d)
- unzip5 :: Vector (a, b, c, d, e) -> (Vector a, Vector b, Vector c, Vector d, Vector e)
- unzip6 :: Vector (a, b, c, d, e, f) -> (Vector a, Vector b, Vector c, Vector d, Vector e, Vector f)
- filter :: (a -> Bool) -> Vector a -> Vector a
- ifilter :: (Int -> a -> Bool) -> Vector a -> Vector a
- filterM :: Monad m => (a -> m Bool) -> Vector a -> m (Vector a)
- uniq :: Eq a => Vector a -> Vector a
- mapMaybe :: (a -> Maybe b) -> Vector a -> Vector b
- imapMaybe :: (Int -> a -> Maybe b) -> Vector a -> Vector b
- mapMaybeM :: Monad m => (a -> m (Maybe b)) -> Vector a -> m (Vector b)
- imapMaybeM :: Monad m => (Int -> a -> m (Maybe b)) -> Vector a -> m (Vector b)
- catMaybes :: Vector (Maybe a) -> Vector a
- takeWhile :: (a -> Bool) -> Vector a -> Vector a
- dropWhile :: (a -> Bool) -> Vector a -> Vector a
- partition :: (a -> Bool) -> Vector a -> (Vector a, Vector a)
- unstablePartition :: (a -> Bool) -> Vector a -> (Vector a, Vector a)
- partitionWith :: (a -> Either b c) -> Vector a -> (Vector b, Vector c)
- span :: (a -> Bool) -> Vector a -> (Vector a, Vector a)
- break :: (a -> Bool) -> Vector a -> (Vector a, Vector a)
- groupBy :: (a -> a -> Bool) -> Vector a -> [Vector a]
- group :: Eq a => Vector a -> [Vector a]
- elem :: Eq a => a -> Vector a -> Bool
- notElem :: Eq a => a -> Vector a -> Bool
- find :: (a -> Bool) -> Vector a -> Maybe a
- findIndex :: (a -> Bool) -> Vector a -> Maybe Int
- findIndexR :: (a -> Bool) -> Vector a -> Maybe Int
- findIndices :: (a -> Bool) -> Vector a -> Vector Int
- elemIndex :: Eq a => a -> Vector a -> Maybe Int
- elemIndices :: Eq a => a -> Vector a -> Vector Int
- foldl :: (a -> b -> a) -> a -> Vector b -> a
- foldl1 :: (a -> a -> a) -> Vector a -> a
- foldl' :: (a -> b -> a) -> a -> Vector b -> a
- foldl1' :: (a -> a -> a) -> Vector a -> a
- foldr :: (a -> b -> b) -> b -> Vector a -> b
- foldr1 :: (a -> a -> a) -> Vector a -> a
- foldr' :: (a -> b -> b) -> b -> Vector a -> b
- foldr1' :: (a -> a -> a) -> Vector a -> a
- ifoldl :: (a -> Int -> b -> a) -> a -> Vector b -> a
- ifoldl' :: (a -> Int -> b -> a) -> a -> Vector b -> a
- ifoldr :: (Int -> a -> b -> b) -> b -> Vector a -> b
- ifoldr' :: (Int -> a -> b -> b) -> b -> Vector a -> b
- foldMap :: Monoid m => (a -> m) -> Vector a -> m
- foldMap' :: Monoid m => (a -> m) -> Vector a -> m
- all :: (a -> Bool) -> Vector a -> Bool
- any :: (a -> Bool) -> Vector a -> Bool
- and :: Vector Bool -> Bool
- or :: Vector Bool -> Bool
- sum :: Num a => Vector a -> a
- product :: Num a => Vector a -> a
- maximum :: Ord a => Vector a -> a
- maximumBy :: (a -> a -> Ordering) -> Vector a -> a
- maximumOn :: Ord b => (a -> b) -> Vector a -> a
- minimum :: Ord a => Vector a -> a
- minimumBy :: (a -> a -> Ordering) -> Vector a -> a
- minimumOn :: Ord b => (a -> b) -> Vector a -> a
- minIndex :: Ord a => Vector a -> Int
- minIndexBy :: (a -> a -> Ordering) -> Vector a -> Int
- maxIndex :: Ord a => Vector a -> Int
- maxIndexBy :: (a -> a -> Ordering) -> Vector a -> Int
- foldM :: Monad m => (a -> b -> m a) -> a -> Vector b -> m a
- ifoldM :: Monad m => (a -> Int -> b -> m a) -> a -> Vector b -> m a
- foldM' :: Monad m => (a -> b -> m a) -> a -> Vector b -> m a
- ifoldM' :: Monad m => (a -> Int -> b -> m a) -> a -> Vector b -> m a
- fold1M :: Monad m => (a -> a -> m a) -> Vector a -> m a
- fold1M' :: Monad m => (a -> a -> m a) -> Vector a -> m a
- foldM_ :: Monad m => (a -> b -> m a) -> a -> Vector b -> m ()
- ifoldM_ :: Monad m => (a -> Int -> b -> m a) -> a -> Vector b -> m ()
- foldM'_ :: Monad m => (a -> b -> m a) -> a -> Vector b -> m ()
- ifoldM'_ :: Monad m => (a -> Int -> b -> m a) -> a -> Vector b -> m ()
- fold1M_ :: Monad m => (a -> a -> m a) -> Vector a -> m ()
- fold1M'_ :: Monad m => (a -> a -> m a) -> Vector a -> m ()
- sequence :: Monad m => Vector (m a) -> m (Vector a)
- sequence_ :: Monad m => Vector (m a) -> m ()
- prescanl :: (a -> b -> a) -> a -> Vector b -> Vector a
- prescanl' :: (a -> b -> a) -> a -> Vector b -> Vector a
- postscanl :: (a -> b -> a) -> a -> Vector b -> Vector a
- postscanl' :: (a -> b -> a) -> a -> Vector b -> Vector a
- scanl :: (a -> b -> a) -> a -> Vector b -> Vector a
- scanl' :: (a -> b -> a) -> a -> Vector b -> Vector a
- scanl1 :: (a -> a -> a) -> Vector a -> Vector a
- scanl1' :: (a -> a -> a) -> Vector a -> Vector a
- iscanl :: (Int -> a -> b -> a) -> a -> Vector b -> Vector a
- iscanl' :: (Int -> a -> b -> a) -> a -> Vector b -> Vector a
- prescanr :: (a -> b -> b) -> b -> Vector a -> Vector b
- prescanr' :: (a -> b -> b) -> b -> Vector a -> Vector b
- postscanr :: (a -> b -> b) -> b -> Vector a -> Vector b
- postscanr' :: (a -> b -> b) -> b -> Vector a -> Vector b
- scanr :: (a -> b -> b) -> b -> Vector a -> Vector b
- scanr' :: (a -> b -> b) -> b -> Vector a -> Vector b
- scanr1 :: (a -> a -> a) -> Vector a -> Vector a
- scanr1' :: (a -> a -> a) -> Vector a -> Vector a
- iscanr :: (Int -> a -> b -> b) -> b -> Vector a -> Vector b
- iscanr' :: (Int -> a -> b -> b) -> b -> Vector a -> Vector b
- eqBy :: (a -> b -> Bool) -> Vector a -> Vector b -> Bool
- cmpBy :: (a -> b -> Ordering) -> Vector a -> Vector b -> Ordering
- toList :: Vector a -> [a]
- fromList :: [a] -> Vector a
- fromListN :: Int -> [a] -> Vector a
- toArray :: Vector a -> Array a
- fromArray :: Array a -> Vector a
- toArraySlice :: Vector a -> (Array a, Int, Int)
- unsafeFromArraySlice :: Array a -> Int -> Int -> Vector a
- convert :: (Vector v a, Vector w a) => v a -> w a
- freeze :: PrimMonad m => MVector (PrimState m) a -> m (Vector a)
- thaw :: PrimMonad m => Vector a -> m (MVector (PrimState m) a)
- copy :: PrimMonad m => MVector (PrimState m) a -> Vector a -> m ()
- unsafeFreeze :: PrimMonad m => MVector (PrimState m) a -> m (Vector a)
- unsafeThaw :: PrimMonad m => Vector a -> m (MVector (PrimState m) a)
- unsafeCopy :: PrimMonad m => MVector (PrimState m) a -> Vector a -> m ()

# Boxed vectors

data Vector a #

Boxed vectors, supporting efficient slicing.

#### Instances

Instances details

MonadFail Vector # | Since: 0.12.1.0
Instance details Defined in Data.Vector Methods fail :: String -> Vector a #
MonadFix Vector # | This instance has the same semantics as the one for lists. Since: 0.12.2.0
Instance details Defined in Data.Vector Methods mfix :: (a -> Vector a) -> Vector a #
MonadZip Vector # |
Instance details Defined in Data.Vector Methods mzip :: Vector a -> Vector b -> Vector (a, b) # mzipWith :: (a -> b -> c) -> Vector a -> Vector b -> Vector c # munzip :: Vector (a, b) -> (Vector a, Vector b) #
Foldable Vector # |

Instance details

Defined in Data.Vector

Methods

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

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

foldMap' :: Monoid m => (a -> m) -> Vector a -> m #

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

foldr' :: (a -> b -> b) -> b -> Vector a -> b #

foldl :: (b -> a -> b) -> b -> Vector a -> b #

foldl' :: (b -> a -> b) -> b -> Vector a -> b #

foldr1 :: (a -> a -> a) -> Vector a -> a #

foldl1 :: (a -> a -> a) -> Vector a -> a #

toList :: Vector a -> [a] #

null :: Vector a -> Bool #

length :: Vector a -> Int #

elem :: Eq a => a -> Vector a -> Bool #

maximum :: Ord a => Vector a -> a #

minimum :: Ord a => Vector a -> a #

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

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

Eq1 Vector # |
Instance details Defined in Data.Vector Methods liftEq :: (a -> b -> Bool) -> Vector a -> Vector b -> Bool #
Ord1 Vector # |
Instance details Defined in Data.Vector Methods liftCompare :: (a -> b -> Ordering) -> Vector a -> Vector b -> Ordering #
Read1 Vector # |
Instance details Defined in Data.Vector Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Vector a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [Vector a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (Vector a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [Vector a] #
Show1 Vector # |
Instance details Defined in Data.Vector Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Vector a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Vector a] -> ShowS #
Traversable Vector # |
Instance details Defined in Data.Vector Methods traverse :: Applicative f => (a -> f b) -> Vector a -> f (Vector b) # sequenceA :: Applicative f => Vector (f a) -> f (Vector a) # mapM :: Monad m => (a -> m b) -> Vector a -> m (Vector b) # sequence :: Monad m => Vector (m a) -> m (Vector a) #
Alternative Vector # |
Instance details Defined in Data.Vector Methods empty :: Vector a # (<|>) :: Vector a -> Vector a -> Vector a # some :: Vector a -> Vector [a] # many :: Vector a -> Vector [a] #
Applicative Vector # |
Instance details Defined in Data.Vector Methods pure :: a -> Vector a # (<*>) :: Vector (a -> b) -> Vector a -> Vector b # liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c # (*>) :: Vector a -> Vector b -> Vector b # (<*) :: Vector a -> Vector b -> Vector a #
Functor Vector # |
Instance details Defined in Data.Vector Methods fmap :: (a -> b) -> Vector a -> Vector b # (<$) :: a -> Vector b -> Vector a #
Monad Vector # |
Instance details Defined in Data.Vector Methods (>>=) :: Vector a -> (a -> Vector b) -> Vector b # (>>) :: Vector a -> Vector b -> Vector b # return :: a -> Vector a #
MonadPlus Vector # |
Instance details Defined in Data.Vector Methods mzero :: Vector a # mplus :: Vector a -> Vector a -> Vector a #
NFData1 Vector # | Since: 0.12.1.0
Instance details Defined in Data.Vector Methods liftRnf :: (a -> ()) -> Vector a -> () #
Vector Vector a # |

Instance details

Defined in Data.Vector

Methods

basicUnsafeFreeze :: Mutable Vector s a -> ST s (Vector a) #

basicUnsafeThaw :: Vector a -> ST s (Mutable Vector s a) #

basicLength :: Vector a -> Int #

basicUnsafeSlice :: Int -> Int -> Vector a -> Vector a #

basicUnsafeIndexM :: Vector a -> Int -> Box a #

basicUnsafeCopy :: Mutable Vector s a -> Vector a -> ST s () #

elemseq :: Vector a -> a -> b -> b #

Data a => Data (Vector a) # |

Instance details

Defined in Data.Vector

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Vector a -> c (Vector a) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Vector a) #

toConstr :: Vector a -> Constr #

dataTypeOf :: Vector a -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Vector a)) #

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

gmapT :: (forall b. Data b => b -> b) -> Vector a -> Vector a #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r #

gmapQ :: (forall d. Data d => d -> u) -> Vector a -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Vector a -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) #

Monoid (Vector a) # |
Instance details Defined in Data.Vector Methods mempty :: Vector a # mappend :: Vector a -> Vector a -> Vector a # mconcat :: [Vector a] -> Vector a #
Semigroup (Vector a) # |
Instance details Defined in Data.Vector Methods (<>) :: Vector a -> Vector a -> Vector a # sconcat :: NonEmpty (Vector a) -> Vector a # stimes :: Integral b => b -> Vector a -> Vector a #
IsList (Vector a) # |

Instance details

Defined in Data.Vector

Associated Types

type Item (Vector a) |
Instance details Defined in Data.Vector type Item (Vector a) = a

Methods

fromList :: [Item (Vector a)] -> Vector a #

fromListN :: Int -> [Item (Vector a)] -> Vector a #

toList :: Vector a -> [Item (Vector a)] #

Read a => Read (Vector a) # |
Instance details Defined in Data.Vector Methods readsPrec :: Int -> ReadS (Vector a) # readList :: ReadS [Vector a] # readPrec :: ReadPrec (Vector a) # readListPrec :: ReadPrec [Vector a] #
Show a => Show (Vector a) # |
Instance details Defined in Data.Vector Methods showsPrec :: Int -> Vector a -> ShowS # show :: Vector a -> String # showList :: [Vector a] -> ShowS #
NFData a => NFData (Vector a) # |
Instance details Defined in Data.Vector Methods rnf :: Vector a -> () #
Eq a => Eq (Vector a) # |
Instance details Defined in Data.Vector Methods (==) :: Vector a -> Vector a -> Bool # (/=) :: Vector a -> Vector a -> Bool #
Ord a => Ord (Vector a) # |
Instance details Defined in Data.Vector Methods compare :: Vector a -> Vector a -> Ordering # (<) :: Vector a -> Vector a -> Bool # (<=) :: Vector a -> Vector a -> Bool # (>) :: Vector a -> Vector a -> Bool # (>=) :: Vector a -> Vector a -> Bool # max :: Vector a -> Vector a -> Vector a # min :: Vector a -> Vector a -> Vector a #
type Mutable Vector # |
Instance details Defined in Data.Vector type Mutable Vector = MVector
type Item (Vector a) # |
Instance details Defined in Data.Vector type Item (Vector a) = a

data MVector s a #

Mutable boxed vectors keyed on the monad they live in (`IO` or ``ST` s`).

#### Instances

Instances details

MVector MVector a # |

Instance details

Defined in Data.Vector.Mutable

Methods

basicLength :: MVector s a -> Int #

basicUnsafeSlice :: Int -> Int -> MVector s a -> MVector s a #

basicOverlaps :: MVector s a -> MVector s a -> Bool #

basicUnsafeNew :: Int -> ST s (MVector s a) #

basicInitialize :: MVector s a -> ST s () #

basicUnsafeReplicate :: Int -> a -> ST s (MVector s a) #

basicUnsafeRead :: MVector s a -> Int -> ST s a #

basicUnsafeWrite :: MVector s a -> Int -> a -> ST s () #

basicClear :: MVector s a -> ST s () #

basicSet :: MVector s a -> a -> ST s () #

basicUnsafeCopy :: MVector s a -> MVector s a -> ST s () #

basicUnsafeMove :: MVector s a -> MVector s a -> ST s () #

basicUnsafeGrow :: MVector s a -> Int -> ST s (MVector s a) #

# Accessors

## Length information

length :: Vector a -> Int #

O(1) Yield the length of the vector.

null :: Vector a -> Bool #

O(1) Test whether a vector is empty.

## Indexing

(!) :: Vector a -> Int -> a #

O(1) Indexing.

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

O(1) Safe indexing.

head :: Vector a -> a #

O(1) First element.

last :: Vector a -> a #

O(1) Last element.

unsafeIndex :: Vector a -> Int -> a #

O(1) Unsafe indexing without bounds checking.

unsafeHead :: Vector a -> a #

O(1) First element, without checking if the vector is empty.

unsafeLast :: Vector a -> a #

O(1) Last element, without checking if the vector is empty.

## Monadic indexing

indexM :: Monad m => Vector a -> Int -> m a #

O(1) Indexing in a monad.

The monad allows operations to be strict in the vector when necessary. Suppose vector copying is implemented like this:

    copy mv v = ... write mv i (v ! i) ...

For lazy vectors, `v ! i` would not be evaluated which means that `mv` would unnecessarily retain a reference to `v` in each element written.

With `indexM`, copying can be implemented like this instead:

    copy mv v = ... do
                      x <- indexM v i
                      write mv i x

Here, no references to `v` are retained because indexing (but not the element) is evaluated eagerly.

headM :: Monad m => Vector a -> m a #

O(1) First element of a vector in a monad. See `indexM` for an explanation of why this is useful.

lastM :: Monad m => Vector a -> m a #

O(1) Last element of a vector in a monad. See `indexM` for an explanation of why this is useful.

unsafeIndexM :: Monad m => Vector a -> Int -> m a #

O(1) Indexing in a monad, without bounds checks. See `indexM` for an explanation of why this is useful.

unsafeHeadM :: Monad m => Vector a -> m a #

O(1) First element in a monad, without checking for empty vectors. See `indexM` for an explanation of why this is useful.

unsafeLastM :: Monad m => Vector a -> m a #

O(1) Last element in a monad, without checking for empty vectors. See `indexM` for an explanation of why this is useful.

## Extracting subvectors (slicing)

slice #

Arguments

:: Int | `i` starting index
-> Int | `n` length
-> Vector a |
-> Vector a |

O(1) Yield a slice of the vector without copying it. The vector must contain at least `i+n` elements.

init :: Vector a -> Vector a #

O(1) Yield all but the last element without copying. The vector may not be empty.

tail :: Vector a -> Vector a #

O(1) Yield all but the first element without copying. The vector may not be empty.

take :: Int -> Vector a -> Vector a #

O(1) Yield at the first `n` elements without copying. The vector may contain less than `n` elements, in which case it is returned unchanged.

drop :: Int -> Vector a -> Vector a #

O(1) Yield all but the first `n` elements without copying. The vector may contain less than `n` elements, in which case an empty vector is returned.

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

O(1) Yield the first `n` elements paired with the remainder, without copying.

Note that ``splitAt` n v` is equivalent to `(`take` n v, `drop` n v)`, but slightly more efficient.

Since: 0.7.1

uncons :: Vector a -> Maybe (a, Vector a) #

O(1) Yield the `head` and `tail` of the vector, or `Nothing` if the vector is empty.

Since: 0.12.2.0

unsnoc :: Vector a -> Maybe (Vector a, a) #

O(1) Yield the `last` and `init` of the vector, or `Nothing` if the vector is empty.

Since: 0.12.2.0

unsafeSlice #

Arguments

:: Int | `i` starting index
-> Int | `n` length
-> Vector a |
-> Vector a |

O(1) Yield a slice of the vector without copying. The vector must contain at least `i+n` elements, but this is not checked.

unsafeInit :: Vector a -> Vector a #

O(1) Yield all but the last element without copying. The vector may not be empty, but this is not checked.

unsafeTail :: Vector a -> Vector a #

O(1) Yield all but the first element without copying. The vector may not be empty, but this is not checked.

unsafeTake :: Int -> Vector a -> Vector a #

O(1) Yield the first `n` elements without copying. The vector must contain at least `n` elements, but this is not checked.

unsafeDrop :: Int -> Vector a -> Vector a #

O(1) Yield all but the first `n` elements without copying. The vector must contain at least `n` elements, but this is not checked.

# Construction

## Initialisation

empty :: Vector a #

O(1) The empty vector.

singleton :: a -> Vector a #

O(1) A vector with exactly one element.

replicate :: Int -> a -> Vector a #

O(n) A vector of the given length with the same value in each position.

generate :: Int -> (Int -> a) -> Vector a #

O(n) Construct a vector of the given length by applying the function to each index.

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

O(n) Apply the function \(\max(n - 1, 0)\) times to an initial value, producing a vector of length \(\max(n, 0)\). The 0th element will contain the initial value, which is why there is one less function application than the number of elements in the produced vector.

\( \underbrace{x, f (x), f (f (x)), \ldots}_{\max(0,n)\rm{~elements}} \)

### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.iterateN 0 undefined undefined :: V.Vector String
    []
    >>> V.iterateN 4 (\x -> x <> x) "Hi"
    ["Hi","HiHi","HiHiHiHi","HiHiHiHiHiHiHiHi"]

Since: 0.7.1

## Monadic initialisation

replicateM :: Monad m => Int -> m a -> m (Vector a) #

O(n) Execute the monadic action the given number of times and store the results in a vector.

generateM :: Monad m => Int -> (Int -> m a) -> m (Vector a) #

O(n) Construct a vector of the given length by applying the monadic action to each index.

iterateNM :: Monad m => Int -> (a -> m a) -> a -> m (Vector a) #

O(n) Apply the monadic function \(\max(n - 1, 0)\) times to an initial value, producing a vector of length \(\max(n, 0)\). The 0th element will contain the initial value, which is why there is one less function application than the number of elements in the produced vector.

For a non-monadic version, see `iterateN`.

Since: 0.12.0.0

create :: (forall s. ST s (MVector s a)) -> Vector a #

Execute the monadic action and freeze the resulting vector.

    create (do { v <- new 2; write v 0 'a'; write v 1 'b'; return v }) = <a,b>

createT :: Traversable f => (forall s. ST s (f (MVector s a))) -> f (Vector a) #

Execute the monadic action and freeze the resulting vectors.

## Unfolding

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

O(n) Construct a vector by repeatedly applying the generator function to a seed. The generator function yields `Just` the next element and the new seed or `Nothing` if there are no more elements.

    unfoldr (\n -> if n == 0 then Nothing else Just (n,n-1)) 10
     = <10,9,8,7,6,5,4,3,2,1>

unfoldrN :: Int -> (b -> Maybe (a, b)) -> b -> Vector a #

O(n) Construct a vector with at most `n` elements by repeatedly applying the generator function to a seed. The generator function yields `Just` the next element and the new seed or `Nothing` if there are no more elements.

    unfoldrN 3 (\n -> Just (n,n-1)) 10 = <10,9,8>

unfoldrExactN :: Int -> (b -> (a, b)) -> b -> Vector a #

O(n) Construct a vector with exactly `n` elements by repeatedly applying the generator function to a seed. The generator function yields the next element and the new seed.

    unfoldrExactN 3 (\n -> (n,n-1)) 10 = <10,9,8>

Since: 0.12.2.0

unfoldrM :: Monad m => (b -> m (Maybe (a, b))) -> b -> m (Vector a) #

O(n) Construct a vector by repeatedly applying the monadic generator function to a seed. The generator function yields `Just` the next element and the new seed or `Nothing` if there are no more elements.

unfoldrNM :: Monad m => Int -> (b -> m (Maybe (a, b))) -> b -> m (Vector a) #

O(n) Construct a vector by repeatedly applying the monadic generator function to a seed. The generator function yields `Just` the next element and the new seed or `Nothing` if there are no more elements.

unfoldrExactNM :: Monad m => Int -> (b -> m (a, b)) -> b -> m (Vector a) #

O(n) Construct a vector with exactly `n` elements by repeatedly applying the monadic generator function to a seed. The generator function yields the next element and the new seed.

Since: 0.12.2.0

constructN :: Int -> (Vector a -> a) -> Vector a #

O(n) Construct a vector with `n` elements by repeatedly applying the generator function to the already constructed part of the vector.

    constructN 3 f = let a = f <> ; b = f <a> ; c = f <a,b> in <a,b,c>

constructrN :: Int -> (Vector a -> a) -> Vector a #

O(n) Construct a vector with `n` elements from right to left by repeatedly applying the generator function to the already constructed part of the vector.

    constructrN 3 f = let a = f <> ; b = f<a> ; c = f <b,a> in <c,b,a>

## Enumeration

enumFromN :: Num a => a -> Int -> Vector a #

O(n) Yield a vector of the given length, containing the values `x`, `x+1` etc. This operation is usually more efficient than `enumFromTo`.

    enumFromN 5 3 = <5,6,7>

enumFromStepN :: Num a => a -> a -> Int -> Vector a #

O(n) Yield a vector of the given length, containing the values `x`, `x+y`, `x+y+y` etc. This operations is usually more efficient than `enumFromThenTo`.

    enumFromStepN 1 2 5 = <1,3,5,7,9>

enumFromTo :: Enum a => a -> a -> Vector a #

O(n) Enumerate values from `x` to `y`.

WARNING: This operation can be very inefficient. If possible, use `enumFromN` instead.

enumFromThenTo :: Enum a => a -> a -> a -> Vector a #

O(n) Enumerate values from `x` to `y` with a specific step `z`.

WARNING: This operation can be very inefficient. If possible, use `enumFromStepN` instead.

## Concatenation

cons :: a -> Vector a -> Vector a #

O(n) Prepend an element.

snoc :: Vector a -> a -> Vector a #

O(n) Append an element.

(++) :: Vector a -> Vector a -> Vector a infixr 5 #

O(m+n) Concatenate two vectors.

concat :: [Vector a] -> Vector a #

O(n) Concatenate all vectors in the list.

## Restricting memory usage

force :: Vector a -> Vector a #

O(n) Yield the argument, but force it not to retain any extra memory, possibly by copying it.

This is especially useful when dealing with slices. For example:

    force (slice 0 2 <huge vector>)

Here, the slice retains a reference to the huge vector. Forcing it creates a copy of just the elements that belong to the slice and allows the huge vector to be garbage collected.

# Modifying vectors

## Bulk updates

(//) #

Arguments

:: Vector a | initial vector (of length `m`)
-> [(Int, a)] | list of index/value pairs (of length `n`)
-> Vector a |

O(m+n) For each pair `(i,a)` from the list of index/value pairs, replace the vector element at position `i` by `a`.

    <5,9,2,7> // [(2,1),(0,3),(2,8)] = <3,9,8,7>

update #

Arguments

:: Vector a | initial vector (of length `m`)
-> Vector (Int, a) | vector of index/value pairs (of length `n`)
-> Vector a |

O(m+n) For each pair `(i,a)` from the vector of index/value pairs, replace the vector element at position `i` by `a`.

    update <5,9,2,7> <(2,1),(0,3),(2,8)> = <3,9,8,7>

update_ #

Arguments

:: Vector a | initial vector (of length `m`)
-> Vector Int | index vector (of length `n1`)
-> Vector a | value vector (of length `n2`)
-> Vector a |

O(m+min(n1,n2)) For each index `i` from the index vector and the corresponding value `a` from the value vector, replace the element of the initial vector at position `i` by `a`.

    update_ <5,9,2,7>  <2,0,2> <1,3,8> = <3,9,8,7>

The function `update` provides the same functionality and is usually more convenient.

    update_ xs is ys = update xs (zip is ys)

unsafeUpd :: Vector a -> [(Int, a)] -> Vector a #

Same as (`//`), but without bounds checking.

unsafeUpdate :: Vector a -> Vector (Int, a) -> Vector a #

Same as `update`, but without bounds checking.

unsafeUpdate_ :: Vector a -> Vector Int -> Vector a -> Vector a #

Same as `update_`, but without bounds checking.

## Accumulations

accum #

Arguments

:: (a -> b -> a) | accumulating function `f`
-> Vector a | initial vector (of length `m`)
-> [(Int, b)] | list of index/value pairs (of length `n`)
-> Vector a |

O(m+n) For each pair `(i,b)` from the list, replace the vector element `a` at position `i` by `f a b`.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.accum (+) (V.fromList [1000,2000,3000]) [(2,4),(1,6),(0,3),(1,10)]
    [1003,2016,3004]

accumulate #

Arguments

:: (a -> b -> a) | accumulating function `f`
-> Vector a | initial vector (of length `m`)
-> Vector (Int, b) | vector of index/value pairs (of length `n`)
-> Vector a |

O(m+n) For each pair `(i,b)` from the vector of pairs, replace the vector element `a` at position `i` by `f a b`.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.accumulate (+) (V.fromList [1000,2000,3000]) (V.fromList [(2,4),(1,6),(0,3),(1,10)])
    [1003,2016,3004]

accumulate_ #

Arguments

:: (a -> b -> a) | accumulating function `f`
-> Vector a | initial vector (of length `m`)
-> Vector Int | index vector (of length `n1`)
-> Vector b | value vector (of length `n2`)
-> Vector a |

O(m+min(n1,n2)) For each index `i` from the index vector and the corresponding value `b` from the the value vector, replace the element of the initial vector at position `i` by `f a b`.

    accumulate_ (+) <5,9,2> <2,1,0,1> <4,6,3,7> = <5+3, 9+6+7, 2+4>

The function `accumulate` provides the same functionality and is usually more convenient.

    accumulate_ f as is bs = accumulate f as (zip is bs)

unsafeAccum :: (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a #

Same as `accum`, but without bounds checking.

unsafeAccumulate :: (a -> b -> a) -> Vector a -> Vector (Int, b) -> Vector a #

Same as `accumulate`, but without bounds checking.

unsafeAccumulate_ :: (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a #

Same as `accumulate_`, but without bounds checking.

## Permutations

reverse :: Vector a -> Vector a #

O(n) Reverse a vector.

backpermute :: Vector a -> Vector Int -> Vector a #

O(n) Yield the vector obtained by replacing each element `i` of the index vector by `xs`!`i`. This is equivalent to ``map` (xs`!`) is`, but is often much more efficient.

    backpermute <a,b,c,d> <0,3,2,3,1,0> = <a,d,c,d,b,a>

unsafeBackpermute :: Vector a -> Vector Int -> Vector a #

Same as `backpermute`, but without bounds checking.

## Safe destructive updates

modify :: (forall s. MVector s a -> ST s ()) -> Vector a -> Vector a #

Apply a destructive operation to a vector. The operation may be performed in place if it is safe to do so and will modify a copy of the vector otherwise (see `New` for details).

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> import qualified Data.Vector.Mutable as MV
    >>> V.modify (\v -> MV.write v 0 'x') $ V.replicate 4 'a'
    "xaaa"

# Elementwise operations

## Indexing

indexed :: Vector a -> Vector (Int, a) #

O(n) Pair each element in a vector with its index.

## Mapping

map :: (a -> b) -> Vector a -> Vector b #

O(n) Map a function over a vector.

imap :: (Int -> a -> b) -> Vector a -> Vector b #

O(n) Apply a function to every element of a vector and its index.

concatMap :: (a -> Vector b) -> Vector a -> Vector b #

Map a function over a vector and concatenate the results.

## Monadic mapping

mapM :: Monad m => (a -> m b) -> Vector a -> m (Vector b) #

O(n) Apply the monadic action to all elements of the vector, yielding a vector of results.

imapM :: Monad m => (Int -> a -> m b) -> Vector a -> m (Vector b) #

O(n) Apply the monadic action to every element of a vector and its index, yielding a vector of results.

mapM_ :: Monad m => (a -> m b) -> Vector a -> m () #

O(n) Apply the monadic action to all elements of a vector and ignore the results.

imapM_ :: Monad m => (Int -> a -> m b) -> Vector a -> m () #

O(n) Apply the monadic action to every element of a vector and its index, ignoring the results.

forM :: Monad m => Vector a -> (a -> m b) -> m (Vector b) #

O(n) Apply the monadic action to all elements of the vector, yielding a vector of results. Equivalent to `flip `mapM``.

forM_ :: Monad m => Vector a -> (a -> m b) -> m () #

O(n) Apply the monadic action to all elements of a vector and ignore the results. Equivalent to `flip `mapM_``.

iforM :: Monad m => Vector a -> (Int -> a -> m b) -> m (Vector b) #

O(n) Apply the monadic action to all elements of the vector and their indices, yielding a vector of results. Equivalent to ``flip` `imapM``.

Since: 0.12.2.0

iforM_ :: Monad m => Vector a -> (Int -> a -> m b) -> m () #

O(n) Apply the monadic action to all elements of the vector and their indices and ignore the results. Equivalent to ``flip` `imapM_``.

Since: 0.12.2.0

## Zipping

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

O(min(m,n)) Zip two vectors with the given function.

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

Zip three vectors with the given function.

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

zipWith5 :: (a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f #

zipWith6 :: (a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g #

izipWith :: (Int -> a -> b -> c) -> Vector a -> Vector b -> Vector c #

O(min(m,n)) Zip two vectors with a function that also takes the elements' indices.

izipWith3 :: (Int -> a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d #

Zip three vectors and their indices with the given function.

izipWith4 :: (Int -> a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e #

izipWith5 :: (Int -> a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f #

izipWith6 :: (Int -> a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g #

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

O(min(m,n)) Zip two vectors.

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

Zip together three vectors into a vector of triples.

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

zip5 :: Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector (a, b, c, d, e) #

zip6 :: Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector (a, b, c, d, e, f) #

## Monadic zipping

zipWithM :: Monad m => (a -> b -> m c) -> Vector a -> Vector b -> m (Vector c) #

O(min(m,n)) Zip the two vectors with the monadic action and yield a vector of results.

izipWithM :: Monad m => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m (Vector c) #

O(min(m,n)) Zip the two vectors with a monadic action that also takes the element index and yield a vector of results.

zipWithM_ :: Monad m => (a -> b -> m c) -> Vector a -> Vector b -> m () #

O(min(m,n)) Zip the two vectors with the monadic action and ignore the results.

izipWithM_ :: Monad m => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m () #

O(min(m,n)) Zip the two vectors with a monadic action that also takes the element index and ignore the results.

## Unzipping

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

O(min(m,n)) Unzip a vector of pairs.

unzip3 :: Vector (a, b, c) -> (Vector a, Vector b, Vector c) #

unzip4 :: Vector (a, b, c, d) -> (Vector a, Vector b, Vector c, Vector d) #

unzip5 :: Vector (a, b, c, d, e) -> (Vector a, Vector b, Vector c, Vector d, Vector e) #

unzip6 :: Vector (a, b, c, d, e, f) -> (Vector a, Vector b, Vector c, Vector d, Vector e, Vector f) #

# Working with predicates

## Filtering

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

O(n) Drop all elements that do not satisfy the predicate.

ifilter :: (Int -> a -> Bool) -> Vector a -> Vector a #

O(n) Drop all elements that do not satisfy the predicate which is applied to the values and their indices.

filterM :: Monad m => (a -> m Bool) -> Vector a -> m (Vector a) #

O(n) Drop all elements that do not satisfy the monadic predicate.

uniq :: Eq a => Vector a -> Vector a #

O(n) Drop repeated adjacent elements. The first element in each group is returned.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.uniq $ V.fromList [1,3,3,200,3]
    [1,3,200,3]
    >>> import Data.Semigroup
    >>> V.uniq $ V.fromList [ Arg 1 'a', Arg 1 'b', Arg 1 'c']
    [Arg 1 'a']

mapMaybe :: (a -> Maybe b) -> Vector a -> Vector b #

O(n) Map the values and collect the `Just` results.

imapMaybe :: (Int -> a -> Maybe b) -> Vector a -> Vector b #

O(n) Map the indices/values and collect the `Just` results.

mapMaybeM :: Monad m => (a -> m (Maybe b)) -> Vector a -> m (Vector b) #

O(n) Apply the monadic function to each element of the vector and discard elements returning `Nothing`.

Since: 0.12.2.0

imapMaybeM :: Monad m => (Int -> a -> m (Maybe b)) -> Vector a -> m (Vector b) #

O(n) Apply the monadic function to each element of the vector and its index. Discard elements returning `Nothing`.

Since: 0.12.2.0

catMaybes :: Vector (Maybe a) -> Vector a #

O(n) Return a Vector of all the `Just` values.

Since: 0.12.2.0

takeWhile :: (a -> Bool) -> Vector a -> Vector a #

O(n) Yield the longest prefix of elements satisfying the predicate. The current implementation is not copy-free, unless the result vector is fused away.

dropWhile :: (a -> Bool) -> Vector a -> Vector a #

O(n) Drop the longest prefix of elements that satisfy the predicate without copying.

## Partitioning

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

O(n) Split the vector in two parts, the first one containing those elements that satisfy the predicate and the second one those that don't. The relative order of the elements is preserved at the cost of a sometimes reduced performance compared to `unstablePartition`.

unstablePartition :: (a -> Bool) -> Vector a -> (Vector a, Vector a) #

O(n) Split the vector in two parts, the first one containing those elements that satisfy the predicate and the second one those that don't. The order of the elements is not preserved, but the operation is often faster than `partition`.

partitionWith :: (a -> Either b c) -> Vector a -> (Vector b, Vector c) #

O(n) Split the vector into two parts, the first one containing the ``Left`` elements and the second containing the ``Right`` elements. The relative order of the elements is preserved.

Since: 0.12.1.0

span :: (a -> Bool) -> Vector a -> (Vector a, Vector a) #

O(n) Split the vector into the longest prefix of elements that satisfy the predicate and the rest without copying.

break :: (a -> Bool) -> Vector a -> (Vector a, Vector a) #

O(n) Split the vector into the longest prefix of elements that do not satisfy the predicate and the rest without copying.

groupBy :: (a -> a -> Bool) -> Vector a -> [Vector a] #

O(n) Split a vector into a list of slices, using a predicate function.

The concatenation of this list of slices is equal to the argument vector, and each slice contains only equal elements, as determined by the equality predicate function.

Does not fuse.

    >>> import qualified Data.Vector as V
    >>> import           Data.Char (isUpper)
    >>> V.groupBy (\a b -> isUpper a == isUpper b) (V.fromList "Mississippi River")
    ["M","ississippi ","R","iver"]

See also `groupBy`, `group`.

Since: 0.13.0.1

group :: Eq a => Vector a -> [Vector a] #

O(n) Split a vector into a list of slices of the input vector.

The concatenation of this list of slices is equal to the argument vector, and each slice contains only equal elements.

Does not fuse.

This is the equivalent of 'groupBy (==)'.

    >>> import qualified Data.Vector as V
    >>> V.group (V.fromList "Mississippi")
    ["M","i","ss","i","ss","i","pp","i"]

See also `group`.

Since: 0.13.0.1

## Searching

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

O(n) Check if the vector contains an element.

notElem :: Eq a => a -> Vector a -> Bool infix 4 #

O(n) Check if the vector does not contain an element (inverse of `elem`).

find :: (a -> Bool) -> Vector a -> Maybe a #

O(n) Yield `Just` the first element matching the predicate or `Nothing` if no such element exists.

findIndex :: (a -> Bool) -> Vector a -> Maybe Int #

O(n) Yield `Just` the index of the first element matching the predicate or `Nothing` if no such element exists.

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

O(n) Yield `Just` the index of the last element matching the predicate or `Nothing` if no such element exists.

Does not fuse.

findIndices :: (a -> Bool) -> Vector a -> Vector Int #

O(n) Yield the indices of elements satisfying the predicate in ascending order.

elemIndex :: Eq a => a -> Vector a -> Maybe Int #

O(n) Yield `Just` the index of the first occurrence of the given element or `Nothing` if the vector does not contain the element. This is a specialised version of `findIndex`.

elemIndices :: Eq a => a -> Vector a -> Vector Int #

O(n) Yield the indices of all occurrences of the given element in ascending order. This is a specialised version of `findIndices`.

# Folding

foldl :: (a -> b -> a) -> a -> Vector b -> a #

O(n) Left fold.

foldl1 :: (a -> a -> a) -> Vector a -> a #

O(n) Left fold on non-empty vectors.

foldl' :: (a -> b -> a) -> a -> Vector b -> a #

O(n) Left fold with strict accumulator.

foldl1' :: (a -> a -> a) -> Vector a -> a #

O(n) Left fold on non-empty vectors with strict accumulator.

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

O(n) Right fold.

foldr1 :: (a -> a -> a) -> Vector a -> a #

O(n) Right fold on non-empty vectors.

foldr' :: (a -> b -> b) -> b -> Vector a -> b #

O(n) Right fold with a strict accumulator.

foldr1' :: (a -> a -> a) -> Vector a -> a #

O(n) Right fold on non-empty vectors with strict accumulator.

ifoldl :: (a -> Int -> b -> a) -> a -> Vector b -> a #

O(n) Left fold using a function applied to each element and its index.

ifoldl' :: (a -> Int -> b -> a) -> a -> Vector b -> a #

O(n) Left fold with strict accumulator using a function applied to each element and its index.

ifoldr :: (Int -> a -> b -> b) -> b -> Vector a -> b #

O(n) Right fold using a function applied to each element and its index.

ifoldr' :: (Int -> a -> b -> b) -> b -> Vector a -> b #

O(n) Right fold with strict accumulator using a function applied to each element and its index.

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

O(n) Map each element of the structure to a monoid and combine the results. It uses the same implementation as the corresponding method of the `Foldable` type class. Note that it's implemented in terms of `foldr` and won't fuse with functions that traverse the vector from left to right (`map`, `generate`, etc.).

Since: 0.12.2.0

foldMap' :: Monoid m => (a -> m) -> Vector a -> m #

O(n) Like `foldMap`, but strict in the accumulator. It uses the same implementation as the corresponding method of the `Foldable` type class. Note that it's implemented in terms of `foldl'`, so it fuses in most contexts.

Since: 0.12.2.0

## Specialised folds

all :: (a -> Bool) -> Vector a -> Bool #

O(n) Check if all elements satisfy the predicate.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.all even $ V.fromList [2, 4, 12]
    True
    >>> V.all even $ V.fromList [2, 4, 13]
    False
    >>> V.all even (V.empty :: V.Vector Int)
    True

any :: (a -> Bool) -> Vector a -> Bool #

O(n) Check if any element satisfies the predicate.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.any even $ V.fromList [1, 3, 7]
    False
    >>> V.any even $ V.fromList [3, 2, 13]
    True
    >>> V.any even (V.empty :: V.Vector Int)
    False

and :: Vector Bool -> Bool #

O(n) Check if all elements are `True`.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.and $ V.fromList [True, False]
    False
    >>> V.and V.empty
    True

or :: Vector Bool -> Bool #

O(n) Check if any element is `True`.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.or $ V.fromList [True, False]
    True
    >>> V.or V.empty
    False

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

O(n) Compute the sum of the elements.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.sum $ V.fromList [300,20,1]
    321
    >>> V.sum (V.empty :: V.Vector Int)
    0

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

O(n) Compute the product of the elements.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.product $ V.fromList [1,2,3,4]
    24
    >>> V.product (V.empty :: V.Vector Int)
    1

maximum :: Ord a => Vector a -> a #

O(n) Yield the maximum element of the vector. The vector may not be empty. In case of a tie, the first occurrence wins.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.maximum $ V.fromList [2, 1]
    2
    >>> import Data.Semigroup
    >>> V.maximum $ V.fromList [Arg 1 'a', Arg 2 'b']
    Arg 2 'b'
    >>> V.maximum $ V.fromList [Arg 1 'a', Arg 1 'b']
    Arg 1 'a'

maximumBy :: (a -> a -> Ordering) -> Vector a -> a #

O(n) Yield the maximum element of the vector according to the given comparison function. The vector may not be empty. In case of a tie, the first occurrence wins. This behavior is different from `maximumBy` which returns the last tie.

#### Examples

Expand

    >>> import Data.Ord
    >>> import qualified Data.Vector as V
    >>> V.maximumBy (comparing fst) $ V.fromList [(2,'a'), (1,'b')]
    (2,'a')
    >>> V.maximumBy (comparing fst) $ V.fromList [(1,'a'), (1,'b')]
    (1,'a')

maximumOn :: Ord b => (a -> b) -> Vector a -> a #

O(n) Yield the maximum element of the vector by comparing the results of a key function on each element. In case of a tie, the first occurrence wins. The vector may not be empty.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.maximumOn fst $ V.fromList [(2,'a'), (1,'b')]
    (2,'a')
    >>> V.maximumOn fst $ V.fromList [(1,'a'), (1,'b')]
    (1,'a')

Since: 0.13.0.0

minimum :: Ord a => Vector a -> a #

O(n) Yield the minimum element of the vector. The vector may not be empty. In case of a tie, the first occurrence wins.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.minimum $ V.fromList [2, 1]
    1
    >>> import Data.Semigroup
    >>> V.minimum $ V.fromList [Arg 2 'a', Arg 1 'b']
    Arg 1 'b'
    >>> V.minimum $ V.fromList [Arg 1 'a', Arg 1 'b']
    Arg 1 'a'

minimumBy :: (a -> a -> Ordering) -> Vector a -> a #

O(n) Yield the minimum element of the vector according to the given comparison function. The vector may not be empty. In case of a tie, the first occurrence wins.

#### Examples

Expand

    >>> import Data.Ord
    >>> import qualified Data.Vector as V
    >>> V.minimumBy (comparing fst) $ V.fromList [(2,'a'), (1,'b')]
    (1,'b')
    >>> V.minimumBy (comparing fst) $ V.fromList [(1,'a'), (1,'b')]
    (1,'a')

minimumOn :: Ord b => (a -> b) -> Vector a -> a #

O(n) Yield the minimum element of the vector by comparing the results of a key function on each element. In case of a tie, the first occurrence wins. The vector may not be empty.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.minimumOn fst $ V.fromList [(2,'a'), (1,'b')]
    (1,'b')
    >>> V.minimumOn fst $ V.fromList [(1,'a'), (1,'b')]
    (1,'a')

Since: 0.13.0.0

minIndex :: Ord a => Vector a -> Int #

O(n) Yield the index of the minimum element of the vector. The vector may not be empty.

minIndexBy :: (a -> a -> Ordering) -> Vector a -> Int #

O(n) Yield the index of the minimum element of the vector according to the given comparison function. The vector may not be empty.

#### Examples

Expand

    >>> import Data.Ord
    >>> import qualified Data.Vector as V
    >>> V.minIndexBy (comparing fst) $ V.fromList [(2,'a'), (1,'b')]
    1
    >>> V.minIndexBy (comparing fst) $ V.fromList [(1,'a'), (1,'b')]
    0

maxIndex :: Ord a => Vector a -> Int #

O(n) Yield the index of the maximum element of the vector. The vector may not be empty.

maxIndexBy :: (a -> a -> Ordering) -> Vector a -> Int #

O(n) Yield the index of the maximum element of the vector according to the given comparison function. The vector may not be empty. In case of a tie, the first occurrence wins.

#### Examples

Expand

    >>> import Data.Ord
    >>> import qualified Data.Vector as V
    >>> V.maxIndexBy (comparing fst) $ V.fromList [(2,'a'), (1,'b')]
    0
    >>> V.maxIndexBy (comparing fst) $ V.fromList [(1,'a'), (1,'b')]
    0

## Monadic folds

foldM :: Monad m => (a -> b -> m a) -> a -> Vector b -> m a #

O(n) Monadic fold.

ifoldM :: Monad m => (a -> Int -> b -> m a) -> a -> Vector b -> m a #

O(n) Monadic fold using a function applied to each element and its index.

foldM' :: Monad m => (a -> b -> m a) -> a -> Vector b -> m a #

O(n) Monadic fold with strict accumulator.

ifoldM' :: Monad m => (a -> Int -> b -> m a) -> a -> Vector b -> m a #

O(n) Monadic fold with strict accumulator using a function applied to each element and its index.

fold1M :: Monad m => (a -> a -> m a) -> Vector a -> m a #

O(n) Monadic fold over non-empty vectors.

fold1M' :: Monad m => (a -> a -> m a) -> Vector a -> m a #

O(n) Monadic fold over non-empty vectors with strict accumulator.

foldM_ :: Monad m => (a -> b -> m a) -> a -> Vector b -> m () #

O(n) Monadic fold that discards the result.

ifoldM_ :: Monad m => (a -> Int -> b -> m a) -> a -> Vector b -> m () #

O(n) Monadic fold that discards the result using a function applied to each element and its index.

foldM'_ :: Monad m => (a -> b -> m a) -> a -> Vector b -> m () #

O(n) Monadic fold with strict accumulator that discards the result.

ifoldM'_ :: Monad m => (a -> Int -> b -> m a) -> a -> Vector b -> m () #

O(n) Monadic fold with strict accumulator that discards the result using a function applied to each element and its index.

fold1M_ :: Monad m => (a -> a -> m a) -> Vector a -> m () #

O(n) Monadic fold over non-empty vectors that discards the result.

fold1M'_ :: Monad m => (a -> a -> m a) -> Vector a -> m () #

O(n) Monadic fold over non-empty vectors with strict accumulator that discards the result.

## Monadic sequencing

sequence :: Monad m => Vector (m a) -> m (Vector a) #

Evaluate each action and collect the results.

sequence_ :: Monad m => Vector (m a) -> m () #

Evaluate each action and discard the results.

# Scans

prescanl :: (a -> b -> a) -> a -> Vector b -> Vector a #

O(n) Left-to-right prescan.

    prescanl f z = init . scanl f z

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.prescanl (+) 0 (V.fromList [1,2,3,4])
    [0,1,3,6]

prescanl' :: (a -> b -> a) -> a -> Vector b -> Vector a #

O(n) Left-to-right prescan with strict accumulator.

postscanl :: (a -> b -> a) -> a -> Vector b -> Vector a #

O(n) Left-to-right postscan.

    postscanl f z = tail . scanl f z

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.postscanl (+) 0 (V.fromList [1,2,3,4])
    [1,3,6,10]

postscanl' :: (a -> b -> a) -> a -> Vector b -> Vector a #

O(n) Left-to-right postscan with strict accumulator.

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

O(n) Left-to-right scan.

    scanl f z <x1,...,xn> = <y1,...,y(n+1)>
      where y1 = z
            yi = f y(i-1) x(i-1)

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.scanl (+) 0 (V.fromList [1,2,3,4])
    [0,1,3,6,10]

scanl' :: (a -> b -> a) -> a -> Vector b -> Vector a #

O(n) Left-to-right scan with strict accumulator.

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

O(n) Initial-value free left-to-right scan over a vector.

    scanl f <x1,...,xn> = <y1,...,yn>
      where y1 = x1
            yi = f y(i-1) xi

Note: Since 0.13, application of this to an empty vector no longer results in an error; instead it produces an empty vector.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.scanl1 min $ V.fromListN 5 [4,2,4,1,3]
    [4,2,2,1,1]
    >>> V.scanl1 max $ V.fromListN 5 [1,3,2,5,4]
    [1,3,3,5,5]
    >>> V.scanl1 min (V.empty :: V.Vector Int)
    []

scanl1' :: (a -> a -> a) -> Vector a -> Vector a #

O(n) Initial-value free left-to-right scan over a vector with a strict accumulator.

Note: Since 0.13, application of this to an empty vector no longer results in an error; instead it produces an empty vector.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.scanl1' min $ V.fromListN 5 [4,2,4,1,3]
    [4,2,2,1,1]
    >>> V.scanl1' max $ V.fromListN 5 [1,3,2,5,4]
    [1,3,3,5,5]
    >>> V.scanl1' min (V.empty :: V.Vector Int)
    []

iscanl :: (Int -> a -> b -> a) -> a -> Vector b -> Vector a #

O(n) Left-to-right scan over a vector with its index.

Since: 0.12.0.0

iscanl' :: (Int -> a -> b -> a) -> a -> Vector b -> Vector a #

O(n) Left-to-right scan over a vector (strictly) with its index.

Since: 0.12.0.0

prescanr :: (a -> b -> b) -> b -> Vector a -> Vector b #

O(n) Right-to-left prescan.

    prescanr f z = reverse . prescanl (flip f) z . reverse

prescanr' :: (a -> b -> b) -> b -> Vector a -> Vector b #

O(n) Right-to-left prescan with strict accumulator.

postscanr :: (a -> b -> b) -> b -> Vector a -> Vector b #

O(n) Right-to-left postscan.

postscanr' :: (a -> b -> b) -> b -> Vector a -> Vector b #

O(n) Right-to-left postscan with strict accumulator.

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

O(n) Right-to-left scan.

scanr' :: (a -> b -> b) -> b -> Vector a -> Vector b #

O(n) Right-to-left scan with strict accumulator.

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

O(n) Right-to-left, initial-value free scan over a vector.

Note: Since 0.13, application of this to an empty vector no longer results in an error; instead it produces an empty vector.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.scanr1 min $ V.fromListN 5 [3,1,4,2,4]
    [1,1,2,2,4]
    >>> V.scanr1 max $ V.fromListN 5 [4,5,2,3,1]
    [5,5,3,3,1]
    >>> V.scanr1 min (V.empty :: V.Vector Int)
    []

scanr1' :: (a -> a -> a) -> Vector a -> Vector a #

O(n) Right-to-left, initial-value free scan over a vector with a strict accumulator.

Note: Since 0.13, application of this to an empty vector no longer results in an error; instead it produces an empty vector.

#### Examples

Expand

    >>> import qualified Data.Vector as V
    >>> V.scanr1' min $ V.fromListN 5 [3,1,4,2,4]
    [1,1,2,2,4]
    >>> V.scanr1' max $ V.fromListN 5 [4,5,2,3,1]
    [5,5,3,3,1]
    >>> V.scanr1' min (V.empty :: V.Vector Int)
    []

iscanr :: (Int -> a -> b -> b) -> b -> Vector a -> Vector b #

O(n) Right-to-left scan over a vector with its index.

Since: 0.12.0.0

iscanr' :: (Int -> a -> b -> b) -> b -> Vector a -> Vector b #

O(n) Right-to-left scan over a vector (strictly) with its index.

Since: 0.12.0.0

## Comparisons

eqBy :: (a -> b -> Bool) -> Vector a -> Vector b -> Bool #

O(n) Check if two vectors are equal using the supplied equality predicate.

Since: 0.12.2.0

cmpBy :: (a -> b -> Ordering) -> Vector a -> Vector b -> Ordering #

O(n) Compare two vectors using the supplied comparison function for vector elements. Comparison works the same as for lists.

    cmpBy compare == compare

Since: 0.12.2.0

# Conversions

## Lists

toList :: Vector a -> [a] #

O(n) Convert a vector to a list.

fromList :: [a] -> Vector a #

O(n) Convert a list to a vector.

fromListN :: Int -> [a] -> Vector a #

O(n) Convert the first `n` elements of a list to a vector. It's expected that the supplied list will be exactly `n` elements long. As an optimization, this function allocates a buffer for `n` elements, which could be used for DoS-attacks by exhausting the memory if an attacker controls that parameter.

    fromListN n xs = fromList (take n xs)

## Arrays

toArray :: Vector a -> Array a #

O(n) Convert a vector to an array.

Since: 0.12.2.0

fromArray :: Array a -> Vector a #

O(1) Convert an array to a vector.

Since: 0.12.2.0

toArraySlice :: Vector a -> (Array a, Int, Int) #

O(1) Extract the underlying `Array`, offset where vector starts and the total number of elements in the vector. Below property always holds:

    let (array, offset, len) = toArraySlice v
    v === unsafeFromArraySlice len offset array

Since: 0.13.0.0

unsafeFromArraySlice #

Arguments

:: Array a | Immutable boxed array.
-> Int | Offset
-> Int | Length
-> Vector a |

O(1) Convert an array slice to a vector. This function is very unsafe, because constructing an invalid vector can yield almost all other safe functions in this module unsafe. These are equivalent:

    unsafeFromArraySlice len offset === unsafeTake len . unsafeDrop offset . fromArray

Since: 0.13.0.0

## Other vector types

convert :: (Vector v a, Vector w a) => v a -> w a #

O(n) Convert between different vector types.

## Mutable vectors

freeze :: PrimMonad m => MVector (PrimState m) a -> m (Vector a) #

O(n) Yield an immutable copy of the mutable vector.

thaw :: PrimMonad m => Vector a -> m (MVector (PrimState m) a) #

O(n) Yield a mutable copy of an immutable vector.

copy :: PrimMonad m => MVector (PrimState m) a -> Vector a -> m () #

O(n) Copy an immutable vector into a mutable one. The two vectors must have the same length.

unsafeFreeze :: PrimMonad m => MVector (PrimState m) a -> m (Vector a) #

O(1) Unsafely convert a mutable vector to an immutable one without copying. The mutable vector may not be used after this operation.

unsafeThaw :: PrimMonad m => Vector a -> m (MVector (PrimState m) a) #

O(1) Unsafely convert an immutable vector to a mutable one without copying. Note that this is a very dangerous function and generally it's only safe to read from the resulting vector. In this case, the immutable vector could be used safely as well.

Problems with mutation happen because GHC has a lot of freedom to introduce sharing. As a result mutable vectors produced by `unsafeThaw` may or may not share the same underlying buffer. For example:

    foo = do
      let vec = V.generate 10 id
      mvec <- V.unsafeThaw vec
      do_something mvec

Here GHC could lift `vec` outside of foo which means that all calls to `do_something` will use same buffer with possibly disastrous results. Whether such aliasing happens or not depends on the program in question, optimization levels, and GHC flags.

All in all, attempts to modify a vector produced by `unsafeThaw` fall out of domain of software engineering and into realm of black magic, dark rituals, and unspeakable horrors. The only advice that could be given is: "Don't attempt to mutate a vector produced by `unsafeThaw` unless you know how to prevent GHC from aliasing buffers accidentally. We don't."

unsafeCopy :: PrimMonad m => MVector (PrimState m) a -> Vector a -> m () #

O(n) Copy an immutable vector into a mutable one. The two vectors must have the same length. This is not checked.