Safe Haskell | None |
---|---|
Language | Haskell2010 |
Generic Vector
interface. Import as:
import qualified RIO.Vector as V
This module does not export any partial or unsafe functions. For those, see RIO.Vector.Partial and RIO.Vector.Unsafe
Synopsis
- class MVector (Mutable v) a => Vector (v :: Type -> Type) a
- length :: Vector v a => v a -> Int
- null :: Vector v a => v a -> Bool
- (!?) :: Vector v a => v a -> Int -> Maybe a
- slice :: Vector v a => Int -> Int -> v a -> v a
- take :: Vector v a => Int -> v a -> v a
- drop :: Vector v a => Int -> v a -> v a
- splitAt :: Vector v a => Int -> v a -> (v a, v a)
- empty :: Vector v a => v a
- singleton :: Vector v a => a -> v a
- replicate :: Vector v a => Int -> a -> v a
- generate :: Vector v a => Int -> (Int -> a) -> v a
- iterateN :: Vector v a => Int -> (a -> a) -> a -> v a
- replicateM :: (Monad m, Vector v a) => Int -> m a -> m (v a)
- generateM :: (Monad m, Vector v a) => Int -> (Int -> m a) -> m (v a)
- iterateNM :: (Monad m, Vector v a) => Int -> (a -> m a) -> a -> m (v a)
- create :: Vector v a => (forall s. ST s (Mutable v s a)) -> v a
- createT :: (Traversable f, Vector v a) => (forall s. ST s (f (Mutable v s a))) -> f (v a)
- unfoldr :: Vector v a => (b -> Maybe (a, b)) -> b -> v a
- unfoldrN :: Vector v a => Int -> (b -> Maybe (a, b)) -> b -> v a
- unfoldrM :: (Monad m, Vector v a) => (b -> m (Maybe (a, b))) -> b -> m (v a)
- unfoldrNM :: (Monad m, Vector v a) => Int -> (b -> m (Maybe (a, b))) -> b -> m (v a)
- constructN :: Vector v a => Int -> (v a -> a) -> v a
- constructrN :: Vector v a => Int -> (v a -> a) -> v a
- enumFromN :: (Vector v a, Num a) => a -> Int -> v a
- enumFromStepN :: (Vector v a, Num a) => a -> a -> Int -> v a
- enumFromTo :: (Vector v a, Enum a) => a -> a -> v a
- enumFromThenTo :: (Vector v a, Enum a) => a -> a -> a -> v a
- cons :: Vector v a => a -> v a -> v a
- snoc :: Vector v a => v a -> a -> v a
- (++) :: Vector v a => v a -> v a -> v a
- concat :: Vector v a => [v a] -> v a
- concatNE :: Vector v a => NonEmpty (v a) -> v a
- force :: Vector v a => v a -> v a
- reverse :: Vector v a => v a -> v a
- modify :: Vector v a => (forall s. Mutable v s a -> ST s ()) -> v a -> v a
- indexed :: (Vector v a, Vector v (Int, a)) => v a -> v (Int, a)
- map :: (Vector v a, Vector v b) => (a -> b) -> v a -> v b
- imap :: (Vector v a, Vector v b) => (Int -> a -> b) -> v a -> v b
- concatMap :: (Vector v a, Vector v b) => (a -> v b) -> v a -> v b
- mapM :: (Monad m, Vector v a, Vector v b) => (a -> m b) -> v a -> m (v b)
- imapM :: (Monad m, Vector v a, Vector v b) => (Int -> a -> m b) -> v a -> m (v b)
- mapM_ :: (Monad m, Vector v a) => (a -> m b) -> v a -> m ()
- imapM_ :: (Monad m, Vector v a) => (Int -> a -> m b) -> v a -> m ()
- forM :: (Monad m, Vector v a, Vector v b) => v a -> (a -> m b) -> m (v b)
- forM_ :: (Monad m, Vector v a) => v a -> (a -> m b) -> m ()
- zipWith :: (Vector v a, Vector v b, Vector v c) => (a -> b -> c) -> v a -> v b -> v c
- zipWith3 :: (Vector v a, Vector v b, Vector v c, Vector v d) => (a -> b -> c -> d) -> v a -> v b -> v c -> v d
- zipWith4 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e) => (a -> b -> c -> d -> e) -> v a -> v b -> v c -> v d -> v e
- zipWith5 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f) => (a -> b -> c -> d -> e -> f) -> v a -> v b -> v c -> v d -> v e -> v f
- zipWith6 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f, Vector v g) => (a -> b -> c -> d -> e -> f -> g) -> v a -> v b -> v c -> v d -> v e -> v f -> v g
- izipWith :: (Vector v a, Vector v b, Vector v c) => (Int -> a -> b -> c) -> v a -> v b -> v c
- izipWith3 :: (Vector v a, Vector v b, Vector v c, Vector v d) => (Int -> a -> b -> c -> d) -> v a -> v b -> v c -> v d
- izipWith4 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e) => (Int -> a -> b -> c -> d -> e) -> v a -> v b -> v c -> v d -> v e
- izipWith5 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f) => (Int -> a -> b -> c -> d -> e -> f) -> v a -> v b -> v c -> v d -> v e -> v f
- izipWith6 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f, Vector v g) => (Int -> a -> b -> c -> d -> e -> f -> g) -> v a -> v b -> v c -> v d -> v e -> v f -> v g
- zip :: (Vector v a, Vector v b, Vector v (a, b)) => v a -> v b -> v (a, b)
- zip3 :: (Vector v a, Vector v b, Vector v c, Vector v (a, b, c)) => v a -> v b -> v c -> v (a, b, c)
- zip4 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v (a, b, c, d)) => v a -> v b -> v c -> v d -> v (a, b, c, d)
- zip5 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v (a, b, c, d, e)) => v a -> v b -> v c -> v d -> v e -> v (a, b, c, d, e)
- zip6 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f, Vector v (a, b, c, d, e, f)) => v a -> v b -> v c -> v d -> v e -> v f -> v (a, b, c, d, e, f)
- zipWithM :: (Monad m, Vector v a, Vector v b, Vector v c) => (a -> b -> m c) -> v a -> v b -> m (v c)
- izipWithM :: (Monad m, Vector v a, Vector v b, Vector v c) => (Int -> a -> b -> m c) -> v a -> v b -> m (v c)
- zipWithM_ :: (Monad m, Vector v a, Vector v b) => (a -> b -> m c) -> v a -> v b -> m ()
- izipWithM_ :: (Monad m, Vector v a, Vector v b) => (Int -> a -> b -> m c) -> v a -> v b -> m ()
- unzip :: (Vector v a, Vector v b, Vector v (a, b)) => v (a, b) -> (v a, v b)
- unzip3 :: (Vector v a, Vector v b, Vector v c, Vector v (a, b, c)) => v (a, b, c) -> (v a, v b, v c)
- unzip4 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v (a, b, c, d)) => v (a, b, c, d) -> (v a, v b, v c, v d)
- unzip5 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v (a, b, c, d, e)) => v (a, b, c, d, e) -> (v a, v b, v c, v d, v e)
- unzip6 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f, Vector v (a, b, c, d, e, f)) => v (a, b, c, d, e, f) -> (v a, v b, v c, v d, v e, v f)
- filter :: Vector v a => (a -> Bool) -> v a -> v a
- ifilter :: Vector v a => (Int -> a -> Bool) -> v a -> v a
- uniq :: (Vector v a, Eq a) => v a -> v a
- mapMaybe :: (Vector v a, Vector v b) => (a -> Maybe b) -> v a -> v b
- imapMaybe :: (Vector v a, Vector v b) => (Int -> a -> Maybe b) -> v a -> v b
- filterM :: (Monad m, Vector v a) => (a -> m Bool) -> v a -> m (v a)
- takeWhile :: Vector v a => (a -> Bool) -> v a -> v a
- dropWhile :: Vector v a => (a -> Bool) -> v a -> v a
- partition :: Vector v a => (a -> Bool) -> v a -> (v a, v a)
- unstablePartition :: Vector v a => (a -> Bool) -> v a -> (v a, v a)
- span :: Vector v a => (a -> Bool) -> v a -> (v a, v a)
- break :: Vector v a => (a -> Bool) -> v a -> (v a, v a)
- elem :: (Vector v a, Eq a) => a -> v a -> Bool
- notElem :: (Vector v a, Eq a) => a -> v a -> Bool
- find :: Vector v a => (a -> Bool) -> v a -> Maybe a
- findIndex :: Vector v a => (a -> Bool) -> v a -> Maybe Int
- findIndices :: (Vector v a, Vector v Int) => (a -> Bool) -> v a -> v Int
- elemIndex :: (Vector v a, Eq a) => a -> v a -> Maybe Int
- elemIndices :: (Vector v a, Vector v Int, Eq a) => a -> v a -> v Int
- foldl :: Vector v b => (a -> b -> a) -> a -> v b -> a
- foldl' :: Vector v b => (a -> b -> a) -> a -> v b -> a
- foldr :: Vector v a => (a -> b -> b) -> b -> v a -> b
- foldr' :: Vector v a => (a -> b -> b) -> b -> v a -> b
- ifoldl :: Vector v b => (a -> Int -> b -> a) -> a -> v b -> a
- ifoldl' :: Vector v b => (a -> Int -> b -> a) -> a -> v b -> a
- ifoldr :: Vector v a => (Int -> a -> b -> b) -> b -> v a -> b
- ifoldr' :: Vector v a => (Int -> a -> b -> b) -> b -> v a -> b
- all :: Vector v a => (a -> Bool) -> v a -> Bool
- any :: Vector v a => (a -> Bool) -> v a -> Bool
- and :: Vector v Bool => v Bool -> Bool
- or :: Vector v Bool => v Bool -> Bool
- sum :: (Vector v a, Num a) => v a -> a
- product :: (Vector v a, Num a) => v a -> a
- foldM :: (Monad m, Vector v b) => (a -> b -> m a) -> a -> v b -> m a
- ifoldM :: (Monad m, Vector v b) => (a -> Int -> b -> m a) -> a -> v b -> m a
- foldM' :: (Monad m, Vector v b) => (a -> b -> m a) -> a -> v b -> m a
- ifoldM' :: (Monad m, Vector v b) => (a -> Int -> b -> m a) -> a -> v b -> m a
- foldM_ :: (Monad m, Vector v b) => (a -> b -> m a) -> a -> v b -> m ()
- ifoldM_ :: (Monad m, Vector v b) => (a -> Int -> b -> m a) -> a -> v b -> m ()
- foldM'_ :: (Monad m, Vector v b) => (a -> b -> m a) -> a -> v b -> m ()
- ifoldM'_ :: (Monad m, Vector v b) => (a -> Int -> b -> m a) -> a -> v b -> m ()
- sequence :: (Monad m, Vector v a, Vector v (m a)) => v (m a) -> m (v a)
- sequence_ :: (Monad m, Vector v (m a)) => v (m a) -> m ()
- prescanl :: (Vector v a, Vector v b) => (a -> b -> a) -> a -> v b -> v a
- prescanl' :: (Vector v a, Vector v b) => (a -> b -> a) -> a -> v b -> v a
- postscanl :: (Vector v a, Vector v b) => (a -> b -> a) -> a -> v b -> v a
- postscanl' :: (Vector v a, Vector v b) => (a -> b -> a) -> a -> v b -> v a
- scanl :: (Vector v a, Vector v b) => (a -> b -> a) -> a -> v b -> v a
- scanl' :: (Vector v a, Vector v b) => (a -> b -> a) -> a -> v b -> v a
- iscanl :: (Vector v a, Vector v b) => (Int -> a -> b -> a) -> a -> v b -> v a
- iscanl' :: (Vector v a, Vector v b) => (Int -> a -> b -> a) -> a -> v b -> v a
- prescanr :: (Vector v a, Vector v b) => (a -> b -> b) -> b -> v a -> v b
- prescanr' :: (Vector v a, Vector v b) => (a -> b -> b) -> b -> v a -> v b
- postscanr :: (Vector v a, Vector v b) => (a -> b -> b) -> b -> v a -> v b
- postscanr' :: (Vector v a, Vector v b) => (a -> b -> b) -> b -> v a -> v b
- scanr :: (Vector v a, Vector v b) => (a -> b -> b) -> b -> v a -> v b
- scanr' :: (Vector v a, Vector v b) => (a -> b -> b) -> b -> v a -> v b
- iscanr :: (Vector v a, Vector v b) => (Int -> a -> b -> b) -> b -> v a -> v b
- iscanr' :: (Vector v a, Vector v b) => (Int -> a -> b -> b) -> b -> v a -> v b
- toList :: Vector v a => v a -> [a]
- fromList :: Vector v a => [a] -> v a
- fromListN :: Vector v a => Int -> [a] -> v a
- convert :: (Vector v a, Vector w a) => v a -> w a
- freeze :: (PrimMonad m, Vector v a) => Mutable v (PrimState m) a -> m (v a)
- thaw :: (PrimMonad m, Vector v a) => v a -> m (Mutable v (PrimState m) a)
- copy :: (PrimMonad m, Vector v a) => Mutable v (PrimState m) a -> v a -> m ()
- stream :: Vector v a => v a -> Bundle v a
- unstream :: Vector v a => Bundle v a -> v a
- streamR :: forall v a (u :: Type -> Type). Vector v a => v a -> Bundle u a
- unstreamR :: Vector v a => Bundle v a -> v a
- new :: Vector v a => New v a -> v a
- clone :: Vector v a => v a -> New v a
- eq :: (Vector v a, Eq a) => v a -> v a -> Bool
- cmp :: (Vector v a, Ord a) => v a -> v a -> Ordering
- eqBy :: (Vector v a, Vector v b) => (a -> b -> Bool) -> v a -> v b -> Bool
- cmpBy :: (Vector v a, Vector v b) => (a -> b -> Ordering) -> v a -> v b -> Ordering
- showsPrec :: (Vector v a, Show a) => Int -> v a -> ShowS
- readPrec :: (Vector v a, Read a) => ReadPrec (v a)
- liftShowsPrec :: Vector v a => (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> v a -> ShowS
- liftReadsPrec :: Vector v a => (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (v a)
- gfoldl :: (Vector v a, Data a) => (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> v a -> c (v a)
- dataCast :: (Vector v a, Data a, Typeable v, Typeable t) => (forall d. Data d => c (t d)) -> Maybe (c (v a))
- mkType :: String -> DataType
Immutable vectors
class MVector (Mutable v) a => Vector (v :: Type -> Type) a #
Class of immutable vectors. Every immutable vector is associated with its
mutable version through the Mutable
type family. Methods of this class
should not be used directly. Instead, Data.Vector.Generic and other
Data.Vector modules provide safe and fusible wrappers.
Minimum complete implementation:
Instances
Accessors
Length information
Indexing
Extracting subvectors
O(1) Yield a slice of the vector without copying it. The vector must
contain at least i+n
elements.
take :: Vector v a => Int -> v a -> v a #
O(1) Yield the first n
elements without copying. The vector may
contain less than n
elements in which case it is returned unchanged.
drop :: Vector v a => Int -> v a -> v 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.
Construction
Initialisation
replicate :: Vector v a => Int -> a -> v a #
O(n) Vector of the given length with the same value in each position
generate :: Vector v a => Int -> (Int -> a) -> v a #
O(n) Construct a vector of the given length by applying the function to each index
iterateN :: Vector v a => Int -> (a -> a) -> a -> v a #
O(n) Apply function n times to value. Zeroth element is original value.
Monadic initialisation
replicateM :: (Monad m, Vector v a) => Int -> m a -> m (v a) #
O(n) Execute the monadic action the given number of times and store the results in a vector.
generateM :: (Monad m, Vector v a) => Int -> (Int -> m a) -> m (v a) #
O(n) Construct a vector of the given length by applying the monadic action to each index
iterateNM :: (Monad m, Vector v a) => Int -> (a -> m a) -> a -> m (v a) #
O(n) Apply monadic function n times to value. Zeroth element is original value.
createT :: (Traversable f, Vector v a) => (forall s. ST s (f (Mutable v s a))) -> f (v a) #
Execute the monadic action and freeze the resulting vectors.
Unfolding
constructN :: Vector v a => Int -> (v a -> a) -> v 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 :: Vector v a => Int -> (v a -> a) -> v 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 :: (Vector v a, Num a) => a -> Int -> v 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 :: (Vector v a, Num a) => a -> a -> Int -> v 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 0.1 5 = <1,1.1,1.2,1.3,1.4>
enumFromTo :: (Vector v a, Enum a) => a -> a -> v a #
O(n) Enumerate values from x
to y
.
WARNING: This operation can be very inefficient. If at all possible, use
enumFromN
instead.
enumFromThenTo :: (Vector v a, Enum a) => a -> a -> a -> v a #
O(n) Enumerate values from x
to y
with a specific step z
.
WARNING: This operation can be very inefficient. If at all possible, use
enumFromStepN
instead.
Concatenation
Restricting memory usage
force :: Vector v a => v a -> v 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
Permutations
Safe destructive update
Elementwise operations
Indexing
indexed :: (Vector v a, Vector v (Int, a)) => v a -> v (Int, a) #
O(n) Pair each element in a vector with its index
Mapping
imap :: (Vector v a, Vector v b) => (Int -> a -> b) -> v a -> v b #
O(n) Apply a function to every element of a vector and its index
concatMap :: (Vector v a, Vector v b) => (a -> v b) -> v a -> v b #
Map a function over a vector and concatenate the results.
Monadic mapping
mapM :: (Monad m, Vector v a, Vector v b) => (a -> m b) -> v a -> m (v b) #
O(n) Apply the monadic action to all elements of the vector, yielding a vector of results
imapM :: (Monad m, Vector v a, Vector v b) => (Int -> a -> m b) -> v a -> m (v b) #
O(n) Apply the monadic action to every element of a vector and its index, yielding a vector of results
mapM_ :: (Monad m, Vector v a) => (a -> m b) -> v a -> m () #
O(n) Apply the monadic action to all elements of a vector and ignore the results
imapM_ :: (Monad m, Vector v a) => (Int -> a -> m b) -> v a -> m () #
O(n) Apply the monadic action to every element of a vector and its index, ignoring the results
forM :: (Monad m, Vector v a, Vector v b) => v a -> (a -> m b) -> m (v 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 v a) => v 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_
Zipping
zipWith :: (Vector v a, Vector v b, Vector v c) => (a -> b -> c) -> v a -> v b -> v c #
O(min(m,n)) Zip two vectors with the given function.
zipWith3 :: (Vector v a, Vector v b, Vector v c, Vector v d) => (a -> b -> c -> d) -> v a -> v b -> v c -> v d #
Zip three vectors with the given function.
zipWith4 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e) => (a -> b -> c -> d -> e) -> v a -> v b -> v c -> v d -> v e #
zipWith5 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f) => (a -> b -> c -> d -> e -> f) -> v a -> v b -> v c -> v d -> v e -> v f #
zipWith6 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f, Vector v g) => (a -> b -> c -> d -> e -> f -> g) -> v a -> v b -> v c -> v d -> v e -> v f -> v g #
izipWith :: (Vector v a, Vector v b, Vector v c) => (Int -> a -> b -> c) -> v a -> v b -> v c #
O(min(m,n)) Zip two vectors with a function that also takes the elements' indices.
izipWith3 :: (Vector v a, Vector v b, Vector v c, Vector v d) => (Int -> a -> b -> c -> d) -> v a -> v b -> v c -> v d #
izipWith4 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e) => (Int -> a -> b -> c -> d -> e) -> v a -> v b -> v c -> v d -> v e #
izipWith5 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f) => (Int -> a -> b -> c -> d -> e -> f) -> v a -> v b -> v c -> v d -> v e -> v f #
izipWith6 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f, Vector v g) => (Int -> a -> b -> c -> d -> e -> f -> g) -> v a -> v b -> v c -> v d -> v e -> v f -> v g #
zip :: (Vector v a, Vector v b, Vector v (a, b)) => v a -> v b -> v (a, b) #
O(min(m,n)) Zip two vectors
zip3 :: (Vector v a, Vector v b, Vector v c, Vector v (a, b, c)) => v a -> v b -> v c -> v (a, b, c) #
zip4 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v (a, b, c, d)) => v a -> v b -> v c -> v d -> v (a, b, c, d) #
zip5 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v (a, b, c, d, e)) => v a -> v b -> v c -> v d -> v e -> v (a, b, c, d, e) #
zip6 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f, Vector v (a, b, c, d, e, f)) => v a -> v b -> v c -> v d -> v e -> v f -> v (a, b, c, d, e, f) #
Monadic zipping
zipWithM :: (Monad m, Vector v a, Vector v b, Vector v c) => (a -> b -> m c) -> v a -> v b -> m (v c) #
O(min(m,n)) Zip the two vectors with the monadic action and yield a vector of results
izipWithM :: (Monad m, Vector v a, Vector v b, Vector v c) => (Int -> a -> b -> m c) -> v a -> v b -> m (v 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, Vector v a, Vector v b) => (a -> b -> m c) -> v a -> v b -> m () #
O(min(m,n)) Zip the two vectors with the monadic action and ignore the results
izipWithM_ :: (Monad m, Vector v a, Vector v b) => (Int -> a -> b -> m c) -> v a -> v 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 v a, Vector v b, Vector v (a, b)) => v (a, b) -> (v a, v b) #
O(min(m,n)) Unzip a vector of pairs.
unzip3 :: (Vector v a, Vector v b, Vector v c, Vector v (a, b, c)) => v (a, b, c) -> (v a, v b, v c) #
unzip4 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v (a, b, c, d)) => v (a, b, c, d) -> (v a, v b, v c, v d) #
unzip5 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v (a, b, c, d, e)) => v (a, b, c, d, e) -> (v a, v b, v c, v d, v e) #
unzip6 :: (Vector v a, Vector v b, Vector v c, Vector v d, Vector v e, Vector v f, Vector v (a, b, c, d, e, f)) => v (a, b, c, d, e, f) -> (v a, v b, v c, v d, v e, v f) #
Working with predicates
Filtering
filter :: Vector v a => (a -> Bool) -> v a -> v a #
O(n) Drop elements that do not satisfy the predicate
ifilter :: Vector v a => (Int -> a -> Bool) -> v a -> v a #
O(n) Drop elements that do not satisfy the predicate which is applied to values and their indices
mapMaybe :: (Vector v a, Vector v b) => (a -> Maybe b) -> v a -> v b #
O(n) Drop elements when predicate returns Nothing
imapMaybe :: (Vector v a, Vector v b) => (Int -> a -> Maybe b) -> v a -> v b #
O(n) Drop elements when predicate, applied to index and value, returns Nothing
filterM :: (Monad m, Vector v a) => (a -> m Bool) -> v a -> m (v a) #
O(n) Drop elements that do not satisfy the monadic predicate
takeWhile :: Vector v a => (a -> Bool) -> v a -> v a #
O(n) Yield the longest prefix of elements satisfying the predicate without copying.
dropWhile :: Vector v a => (a -> Bool) -> v a -> v a #
O(n) Drop the longest prefix of elements that satisfy the predicate without copying.
Partitioning
partition :: Vector v a => (a -> Bool) -> v a -> (v a, v 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 :: Vector v a => (a -> Bool) -> v a -> (v a, v 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
.
span :: Vector v a => (a -> Bool) -> v a -> (v a, v a) #
O(n) Split the vector into the longest prefix of elements that satisfy the predicate and the rest without copying.
break :: Vector v a => (a -> Bool) -> v a -> (v a, v a) #
O(n) Split the vector into the longest prefix of elements that do not satisfy the predicate and the rest without copying.
Searching
elem :: (Vector v a, Eq a) => a -> v a -> Bool infix 4 #
O(n) Check if the vector contains an element
notElem :: (Vector v a, Eq a) => a -> v a -> Bool infix 4 #
O(n) Check if the vector does not contain an element (inverse of elem
)
findIndices :: (Vector v a, Vector v Int) => (a -> Bool) -> v a -> v Int #
O(n) Yield the indices of elements satisfying the predicate in ascending order.
elemIndices :: (Vector v a, Vector v Int, Eq a) => a -> v a -> v Int #
O(n) Yield the indices of all occurences of the given element in
ascending order. This is a specialised version of findIndices
.
Folding
ifoldl :: Vector v b => (a -> Int -> b -> a) -> a -> v b -> a #
O(n) Left fold (function applied to each element and its index)
ifoldl' :: Vector v b => (a -> Int -> b -> a) -> a -> v b -> a #
O(n) Left fold with strict accumulator (function applied to each element and its index)
ifoldr :: Vector v a => (Int -> a -> b -> b) -> b -> v a -> b #
O(n) Right fold (function applied to each element and its index)
ifoldr' :: Vector v a => (Int -> a -> b -> b) -> b -> v a -> b #
O(n) Right fold with strict accumulator (function applied to each element and its index)
Specialised folds
Monadic folds
ifoldM :: (Monad m, Vector v b) => (a -> Int -> b -> m a) -> a -> v b -> m a #
O(n) Monadic fold (action applied to each element and its index)
foldM' :: (Monad m, Vector v b) => (a -> b -> m a) -> a -> v b -> m a #
O(n) Monadic fold with strict accumulator
ifoldM' :: (Monad m, Vector v b) => (a -> Int -> b -> m a) -> a -> v b -> m a #
O(n) Monadic fold with strict accumulator (action applied to each element and its index)
foldM_ :: (Monad m, Vector v b) => (a -> b -> m a) -> a -> v b -> m () #
O(n) Monadic fold that discards the result
ifoldM_ :: (Monad m, Vector v b) => (a -> Int -> b -> m a) -> a -> v b -> m () #
O(n) Monadic fold that discards the result (action applied to each element and its index)
foldM'_ :: (Monad m, Vector v b) => (a -> b -> m a) -> a -> v b -> m () #
O(n) Monadic fold with strict accumulator that discards the result
ifoldM'_ :: (Monad m, Vector v b) => (a -> Int -> b -> m a) -> a -> v b -> m () #
O(n) Monadic fold with strict accumulator that discards the result (action applied to each element and its index)
Monadic sequencing
sequence :: (Monad m, Vector v a, Vector v (m a)) => v (m a) -> m (v a) #
Evaluate each action and collect the results
sequence_ :: (Monad m, Vector v (m a)) => v (m a) -> m () #
Evaluate each action and discard the results
Prefix sums (scans)
prescanl' :: (Vector v a, Vector v b) => (a -> b -> a) -> a -> v b -> v a #
O(n) Prescan with strict accumulator
postscanl' :: (Vector v a, Vector v b) => (a -> b -> a) -> a -> v b -> v a #
O(n) Scan with strict accumulator
scanl :: (Vector v a, Vector v b) => (a -> b -> a) -> a -> v b -> v a #
O(n) Haskell-style scan
scanl f z <x1,...,xn> = <y1,...,y(n+1)> where y1 = z yi = f y(i-1) x(i-1)
Example: scanl (+) 0 <1,2,3,4> = <0,1,3,6,10>
scanl' :: (Vector v a, Vector v b) => (a -> b -> a) -> a -> v b -> v a #
O(n) Haskell-style scan with strict accumulator
iscanl :: (Vector v a, Vector v b) => (Int -> a -> b -> a) -> a -> v b -> v a #
O(n) Scan over a vector with its index
iscanl' :: (Vector v a, Vector v b) => (Int -> a -> b -> a) -> a -> v b -> v a #
O(n) Scan over a vector (strictly) with its index
prescanr' :: (Vector v a, Vector v b) => (a -> b -> b) -> b -> v a -> v b #
O(n) Right-to-left prescan with strict accumulator
postscanr' :: (Vector v a, Vector v b) => (a -> b -> b) -> b -> v a -> v b #
O(n) Right-to-left scan with strict accumulator
scanr :: (Vector v a, Vector v b) => (a -> b -> b) -> b -> v a -> v b #
O(n) Right-to-left Haskell-style scan
scanr' :: (Vector v a, Vector v b) => (a -> b -> b) -> b -> v a -> v b #
O(n) Right-to-left Haskell-style scan with strict accumulator
iscanr :: (Vector v a, Vector v b) => (Int -> a -> b -> b) -> b -> v a -> v b #
O(n) Right-to-left scan over a vector with its index
iscanr' :: (Vector v a, Vector v b) => (Int -> a -> b -> b) -> b -> v a -> v b #
O(n) Right-to-left scan over a vector (strictly) with its index
Conversions
Lists
Different vector types
Mutable vectors
freeze :: (PrimMonad m, Vector v a) => Mutable v (PrimState m) a -> m (v a) #
O(n) Yield an immutable copy of the mutable vector.
thaw :: (PrimMonad m, Vector v a) => v a -> m (Mutable v (PrimState m) a) #
O(n) Yield a mutable copy of the immutable vector.
copy :: (PrimMonad m, Vector v a) => Mutable v (PrimState m) a -> v a -> m () #
O(n) Copy an immutable vector into a mutable one. The two vectors must have the same length.
Fusion support
Conversion to/from Bundles
streamR :: forall v a (u :: Type -> Type). Vector v a => v a -> Bundle u a #
O(1) Convert a vector to a Bundle
, proceeding from right to left
unstreamR :: Vector v a => Bundle v a -> v a #
O(n) Construct a vector from a Bundle
, proceeding from right to left
Recycling support
clone :: Vector v a => v a -> New v a #
Convert a vector to an initialiser which, when run, produces a copy of the vector.
Utilities
Comparisons
Show and Read
liftReadsPrec :: Vector v a => (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (v a) #
Note: uses ReadS
Data
and Typeable
gfoldl :: (Vector v a, Data a) => (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> v a -> c (v a) #