Portability | non-portable |
---|---|
Stability | experimental |
Maintainer | Roman Leshchinskiy <rl@cse.unsw.edu.au> |
Safe Haskell | None |
Data.Vector.Primitive
Contents
Description
Unboxed vectors of primitive types. The use of this module is not recommended except in very special cases. Adaptive unboxed vectors defined in Data.Vector.Unboxed are significantly more flexible at no performance cost.
- data Vector a
- data MVector s a = MVector !Int !Int !(MutableByteArray s)
- class Prim a
- length :: Prim a => Vector a -> Int
- null :: Prim a => Vector a -> Bool
- (!) :: Prim a => Vector a -> Int -> a
- (!?) :: Prim a => Vector a -> Int -> Maybe a
- head :: Prim a => Vector a -> a
- last :: Prim a => Vector a -> a
- unsafeIndex :: Prim a => Vector a -> Int -> a
- unsafeHead :: Prim a => Vector a -> a
- unsafeLast :: Prim a => Vector a -> a
- indexM :: (Prim a, Monad m) => Vector a -> Int -> m a
- headM :: (Prim a, Monad m) => Vector a -> m a
- lastM :: (Prim a, Monad m) => Vector a -> m a
- unsafeIndexM :: (Prim a, Monad m) => Vector a -> Int -> m a
- unsafeHeadM :: (Prim a, Monad m) => Vector a -> m a
- unsafeLastM :: (Prim a, Monad m) => Vector a -> m a
- slice :: Prim a => Int -> Int -> Vector a -> Vector a
- init :: Prim a => Vector a -> Vector a
- tail :: Prim a => Vector a -> Vector a
- take :: Prim a => Int -> Vector a -> Vector a
- drop :: Prim a => Int -> Vector a -> Vector a
- splitAt :: Prim a => Int -> Vector a -> (Vector a, Vector a)
- unsafeSlice :: Prim a => Int -> Int -> Vector a -> Vector a
- unsafeInit :: Prim a => Vector a -> Vector a
- unsafeTail :: Prim a => Vector a -> Vector a
- unsafeTake :: Prim a => Int -> Vector a -> Vector a
- unsafeDrop :: Prim a => Int -> Vector a -> Vector a
- empty :: Prim a => Vector a
- singleton :: Prim a => a -> Vector a
- replicate :: Prim a => Int -> a -> Vector a
- generate :: Prim a => Int -> (Int -> a) -> Vector a
- iterateN :: Prim a => Int -> (a -> a) -> a -> Vector a
- replicateM :: (Monad m, Prim a) => Int -> m a -> m (Vector a)
- generateM :: (Monad m, Prim a) => Int -> (Int -> m a) -> m (Vector a)
- create :: Prim a => (forall s. ST s (MVector s a)) -> Vector a
- unfoldr :: Prim a => (b -> Maybe (a, b)) -> b -> Vector a
- unfoldrN :: Prim a => Int -> (b -> Maybe (a, b)) -> b -> Vector a
- constructN :: Prim a => Int -> (Vector a -> a) -> Vector a
- constructrN :: Prim a => Int -> (Vector a -> a) -> Vector a
- enumFromN :: (Prim a, Num a) => a -> Int -> Vector a
- enumFromStepN :: (Prim a, Num a) => a -> a -> Int -> Vector a
- enumFromTo :: (Prim a, Enum a) => a -> a -> Vector a
- enumFromThenTo :: (Prim a, Enum a) => a -> a -> a -> Vector a
- cons :: Prim a => a -> Vector a -> Vector a
- snoc :: Prim a => Vector a -> a -> Vector a
- (++) :: Prim a => Vector a -> Vector a -> Vector a
- concat :: Prim a => [Vector a] -> Vector a
- force :: Prim a => Vector a -> Vector a
- (//) :: Prim a => Vector a -> [(Int, a)] -> Vector a
- update_ :: Prim a => Vector a -> Vector Int -> Vector a -> Vector a
- unsafeUpd :: Prim a => Vector a -> [(Int, a)] -> Vector a
- unsafeUpdate_ :: Prim a => Vector a -> Vector Int -> Vector a -> Vector a
- accum :: Prim a => (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a
- accumulate_ :: (Prim a, Prim b) => (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a
- unsafeAccum :: Prim a => (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a
- unsafeAccumulate_ :: (Prim a, Prim b) => (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a
- reverse :: Prim a => Vector a -> Vector a
- backpermute :: Prim a => Vector a -> Vector Int -> Vector a
- unsafeBackpermute :: Prim a => Vector a -> Vector Int -> Vector a
- modify :: Prim a => (forall s. MVector s a -> ST s ()) -> Vector a -> Vector a
- map :: (Prim a, Prim b) => (a -> b) -> Vector a -> Vector b
- imap :: (Prim a, Prim b) => (Int -> a -> b) -> Vector a -> Vector b
- concatMap :: (Prim a, Prim b) => (a -> Vector b) -> Vector a -> Vector b
- mapM :: (Monad m, Prim a, Prim b) => (a -> m b) -> Vector a -> m (Vector b)
- mapM_ :: (Monad m, Prim a) => (a -> m b) -> Vector a -> m ()
- forM :: (Monad m, Prim a, Prim b) => Vector a -> (a -> m b) -> m (Vector b)
- forM_ :: (Monad m, Prim a) => Vector a -> (a -> m b) -> m ()
- zipWith :: (Prim a, Prim b, Prim c) => (a -> b -> c) -> Vector a -> Vector b -> Vector c
- zipWith3 :: (Prim a, Prim b, Prim c, Prim d) => (a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d
- zipWith4 :: (Prim a, Prim b, Prim c, Prim d, Prim e) => (a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
- zipWith5 :: (Prim a, Prim b, Prim c, Prim d, Prim e, Prim f) => (a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f
- zipWith6 :: (Prim a, Prim b, Prim c, Prim d, Prim e, Prim f, Prim g) => (a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g
- izipWith :: (Prim a, Prim b, Prim c) => (Int -> a -> b -> c) -> Vector a -> Vector b -> Vector c
- izipWith3 :: (Prim a, Prim b, Prim c, Prim d) => (Int -> a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d
- izipWith4 :: (Prim a, Prim b, Prim c, Prim d, Prim e) => (Int -> a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
- izipWith5 :: (Prim a, Prim b, Prim c, Prim d, Prim e, Prim f) => (Int -> a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f
- izipWith6 :: (Prim a, Prim b, Prim c, Prim d, Prim e, Prim f, Prim g) => (Int -> a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g
- zipWithM :: (Monad m, Prim a, Prim b, Prim c) => (a -> b -> m c) -> Vector a -> Vector b -> m (Vector c)
- zipWithM_ :: (Monad m, Prim a, Prim b) => (a -> b -> m c) -> Vector a -> Vector b -> m ()
- filter :: Prim a => (a -> Bool) -> Vector a -> Vector a
- ifilter :: Prim a => (Int -> a -> Bool) -> Vector a -> Vector a
- filterM :: (Monad m, Prim a) => (a -> m Bool) -> Vector a -> m (Vector a)
- takeWhile :: Prim a => (a -> Bool) -> Vector a -> Vector a
- dropWhile :: Prim a => (a -> Bool) -> Vector a -> Vector a
- partition :: Prim a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- unstablePartition :: Prim a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- span :: Prim a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- break :: Prim a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- elem :: (Prim a, Eq a) => a -> Vector a -> Bool
- notElem :: (Prim a, Eq a) => a -> Vector a -> Bool
- find :: Prim a => (a -> Bool) -> Vector a -> Maybe a
- findIndex :: Prim a => (a -> Bool) -> Vector a -> Maybe Int
- findIndices :: Prim a => (a -> Bool) -> Vector a -> Vector Int
- elemIndex :: (Prim a, Eq a) => a -> Vector a -> Maybe Int
- elemIndices :: (Prim a, Eq a) => a -> Vector a -> Vector Int
- foldl :: Prim b => (a -> b -> a) -> a -> Vector b -> a
- foldl1 :: Prim a => (a -> a -> a) -> Vector a -> a
- foldl' :: Prim b => (a -> b -> a) -> a -> Vector b -> a
- foldl1' :: Prim a => (a -> a -> a) -> Vector a -> a
- foldr :: Prim a => (a -> b -> b) -> b -> Vector a -> b
- foldr1 :: Prim a => (a -> a -> a) -> Vector a -> a
- foldr' :: Prim a => (a -> b -> b) -> b -> Vector a -> b
- foldr1' :: Prim a => (a -> a -> a) -> Vector a -> a
- ifoldl :: Prim b => (a -> Int -> b -> a) -> a -> Vector b -> a
- ifoldl' :: Prim b => (a -> Int -> b -> a) -> a -> Vector b -> a
- ifoldr :: Prim a => (Int -> a -> b -> b) -> b -> Vector a -> b
- ifoldr' :: Prim a => (Int -> a -> b -> b) -> b -> Vector a -> b
- all :: Prim a => (a -> Bool) -> Vector a -> Bool
- any :: Prim a => (a -> Bool) -> Vector a -> Bool
- sum :: (Prim a, Num a) => Vector a -> a
- product :: (Prim a, Num a) => Vector a -> a
- maximum :: (Prim a, Ord a) => Vector a -> a
- maximumBy :: Prim a => (a -> a -> Ordering) -> Vector a -> a
- minimum :: (Prim a, Ord a) => Vector a -> a
- minimumBy :: Prim a => (a -> a -> Ordering) -> Vector a -> a
- minIndex :: (Prim a, Ord a) => Vector a -> Int
- minIndexBy :: Prim a => (a -> a -> Ordering) -> Vector a -> Int
- maxIndex :: (Prim a, Ord a) => Vector a -> Int
- maxIndexBy :: Prim a => (a -> a -> Ordering) -> Vector a -> Int
- foldM :: (Monad m, Prim b) => (a -> b -> m a) -> a -> Vector b -> m a
- foldM' :: (Monad m, Prim b) => (a -> b -> m a) -> a -> Vector b -> m a
- fold1M :: (Monad m, Prim a) => (a -> a -> m a) -> Vector a -> m a
- fold1M' :: (Monad m, Prim a) => (a -> a -> m a) -> Vector a -> m a
- foldM_ :: (Monad m, Prim b) => (a -> b -> m a) -> a -> Vector b -> m ()
- foldM'_ :: (Monad m, Prim b) => (a -> b -> m a) -> a -> Vector b -> m ()
- fold1M_ :: (Monad m, Prim a) => (a -> a -> m a) -> Vector a -> m ()
- fold1M'_ :: (Monad m, Prim a) => (a -> a -> m a) -> Vector a -> m ()
- prescanl :: (Prim a, Prim b) => (a -> b -> a) -> a -> Vector b -> Vector a
- prescanl' :: (Prim a, Prim b) => (a -> b -> a) -> a -> Vector b -> Vector a
- postscanl :: (Prim a, Prim b) => (a -> b -> a) -> a -> Vector b -> Vector a
- postscanl' :: (Prim a, Prim b) => (a -> b -> a) -> a -> Vector b -> Vector a
- scanl :: (Prim a, Prim b) => (a -> b -> a) -> a -> Vector b -> Vector a
- scanl' :: (Prim a, Prim b) => (a -> b -> a) -> a -> Vector b -> Vector a
- scanl1 :: Prim a => (a -> a -> a) -> Vector a -> Vector a
- scanl1' :: Prim a => (a -> a -> a) -> Vector a -> Vector a
- prescanr :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector b
- prescanr' :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector b
- postscanr :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector b
- postscanr' :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector b
- scanr :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector b
- scanr' :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector b
- scanr1 :: Prim a => (a -> a -> a) -> Vector a -> Vector a
- scanr1' :: Prim a => (a -> a -> a) -> Vector a -> Vector a
- toList :: Prim a => Vector a -> [a]
- fromList :: Prim a => [a] -> Vector a
- fromListN :: Prim a => Int -> [a] -> Vector a
- convert :: (Vector v a, Vector w a) => v a -> w a
- freeze :: (Prim a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a)
- thaw :: (Prim a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a)
- copy :: (Prim a, PrimMonad m) => MVector (PrimState m) a -> Vector a -> m ()
- unsafeFreeze :: (Prim a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a)
- unsafeThaw :: (Prim a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a)
- unsafeCopy :: (Prim a, PrimMonad m) => MVector (PrimState m) a -> Vector a -> m ()
Primitive vectors
Unboxed vectors of primitive types
Instances
Typeable1 Vector | |
(MVector (Mutable Vector) a, Prim a) => Vector Vector a | |
(Prim a, Eq a) => Eq (Vector a) | |
(Typeable (Vector a), Data a, Prim a) => Data (Vector a) | |
(Eq (Vector a), Prim a, Ord a) => Ord (Vector a) | |
(Read a, Prim a) => Read (Vector a) | |
(Show a, Prim a) => Show (Vector a) | |
Prim a => Monoid (Vector a) | |
NFData (Vector a) |
Mutable vectors of primitive types.
Constructors
MVector !Int !Int !(MutableByteArray s) |
class Prim a
Class of types supporting primitive array operations
Accessors
Length information
Indexing
unsafeIndex :: Prim a => Vector a -> Int -> aSource
O(1) Unsafe indexing without bounds checking
unsafeHead :: Prim a => Vector a -> aSource
O(1) First element without checking if the vector is empty
unsafeLast :: Prim a => Vector a -> aSource
O(1) Last element without checking if the vector is empty
Monadic indexing
indexM :: (Prim a, Monad m) => Vector a -> Int -> m aSource
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
elements) is evaluated eagerly.
headM :: (Prim a, Monad m) => Vector a -> m aSource
O(1) First element of a vector in a monad. See indexM
for an
explanation of why this is useful.
lastM :: (Prim a, Monad m) => Vector a -> m aSource
O(1) Last element of a vector in a monad. See indexM
for an
explanation of why this is useful.
unsafeIndexM :: (Prim a, Monad m) => Vector a -> Int -> m aSource
O(1) Indexing in a monad without bounds checks. See indexM
for an
explanation of why this is useful.
unsafeHeadM :: (Prim a, Monad m) => Vector a -> m aSource
O(1) First element in a monad without checking for empty vectors.
See indexM
for an explanation of why this is useful.
unsafeLastM :: (Prim a, Monad m) => Vector a -> m aSource
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)
O(1) Yield a slice of the vector without copying it. The vector must
contain at least i+n
elements.
init :: Prim a => Vector a -> Vector aSource
O(1) Yield all but the last element without copying. The vector may not be empty.
tail :: Prim a => Vector a -> Vector aSource
O(1) Yield all but the first element without copying. The vector may not be empty.
take :: Prim a => Int -> Vector a -> Vector aSource
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 :: Prim a => Int -> Vector a -> Vector aSource
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.
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 :: Prim a => Vector a -> Vector aSource
O(1) Yield all but the last element without copying. The vector may not be empty but this is not checked.
unsafeTail :: Prim a => Vector a -> Vector aSource
O(1) Yield all but the first element without copying. The vector may not be empty but this is not checked.
unsafeTake :: Prim a => Int -> Vector a -> Vector aSource
O(1) Yield the first n
elements without copying. The vector must
contain at least n
elements but this is not checked.
unsafeDrop :: Prim a => Int -> Vector a -> Vector aSource
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
replicate :: Prim a => Int -> a -> Vector aSource
O(n) Vector of the given length with the same value in each position
generate :: Prim a => Int -> (Int -> a) -> Vector aSource
O(n) Construct a vector of the given length by applying the function to each index
iterateN :: Prim a => Int -> (a -> a) -> a -> Vector aSource
O(n) Apply function n times to value. Zeroth element is original value.
Monadic initialisation
replicateM :: (Monad m, Prim a) => Int -> m a -> m (Vector a)Source
O(n) Execute the monadic action the given number of times and store the results in a vector.
generateM :: (Monad m, Prim a) => Int -> (Int -> m a) -> m (Vector a)Source
O(n) Construct a vector of the given length by applying the monadic action to each index
create :: Prim a => (forall s. ST s (MVector s a)) -> Vector aSource
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
>
Unfolding
constructN :: Prim a => Int -> (Vector a -> a) -> Vector aSource
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 f <a,b,c>
constructrN :: Prim a => Int -> (Vector a -> a) -> Vector aSource
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 f <c,b,a>
Enumeration
enumFromN :: (Prim a, Num a) => a -> Int -> Vector aSource
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 :: (Prim a, Num a) => a -> a -> Int -> Vector aSource
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 :: (Prim a, Enum a) => a -> a -> Vector aSource
O(n) Enumerate values from x
to y
.
WARNING: This operation can be very inefficient. If at all possible, use
enumFromN
instead.
enumFromThenTo :: (Prim a, Enum a) => a -> a -> a -> Vector aSource
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 :: Prim a => Vector a -> Vector aSource
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
:: Prim a | |
=> Vector a | initial vector (of length |
-> [(Int, a)] | list of index/value pairs (of length |
-> Vector a |
O(m+n) For each pair (i,a)
from the list, replace the vector
element at position i
by a
.
<5,9,2,7> // [(2,1),(0,3),(2,8)] = <3,9,8,7>
Arguments
:: Prim a | |
=> Vector a | initial vector (of length |
-> Vector Int | index vector (of length |
-> Vector a | value vector (of length |
-> 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>
unsafeUpd :: Prim a => Vector a -> [(Int, a)] -> Vector aSource
Same as (//
) but without bounds checking.
unsafeUpdate_ :: Prim a => Vector a -> Vector Int -> Vector a -> Vector aSource
Same as update_
but without bounds checking.
Accumulations
Arguments
:: Prim a | |
=> (a -> b -> a) | accumulating function |
-> Vector a | initial vector (of length |
-> [(Int, b)] | list of index/value pairs (of length |
-> 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
.
accum (+) <5,9,2> [(2,4),(1,6),(0,3),(1,7)] = <5+3, 9+6+7, 2+4>
Arguments
:: (Prim a, Prim b) | |
=> (a -> b -> a) | accumulating function |
-> Vector a | initial vector (of length |
-> Vector Int | index vector (of length |
-> Vector b | value vector (of length |
-> 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>
unsafeAccum :: Prim a => (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector aSource
Same as accum
but without bounds checking.
unsafeAccumulate_ :: (Prim a, Prim b) => (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector aSource
Same as accumulate_
but without bounds checking.
Permutations
unsafeBackpermute :: Prim a => Vector a -> Vector Int -> Vector aSource
Same as backpermute
but without bounds checking.
Safe destructive updates
modify :: Prim a => (forall s. MVector s a -> ST s ()) -> Vector a -> Vector aSource
Apply a destructive operation to a vector. The operation will be performed in place if it is safe to do so and will modify a copy of the vector otherwise.
modify (\v -> write v 0 'x') (replicate
3 'a') = <'x','a','a'>
Elementwise operations
Mapping
imap :: (Prim a, Prim b) => (Int -> a -> b) -> Vector a -> Vector bSource
O(n) Apply a function to every element of a vector and its index
concatMap :: (Prim a, Prim b) => (a -> Vector b) -> Vector a -> Vector bSource
Map a function over a vector and concatenate the results.
Monadic mapping
mapM :: (Monad m, Prim a, Prim b) => (a -> m b) -> Vector a -> m (Vector b)Source
O(n) Apply the monadic action to all elements of the vector, yielding a vector of results
mapM_ :: (Monad m, Prim a) => (a -> m b) -> Vector a -> m ()Source
O(n) Apply the monadic action to all elements of a vector and ignore the results
forM :: (Monad m, Prim a, Prim b) => Vector a -> (a -> m b) -> m (Vector b)Source
O(n) Apply the monadic action to all elements of the vector, yielding a
vector of results. Equvalent to flip
.
mapM
forM_ :: (Monad m, Prim a) => Vector a -> (a -> m b) -> m ()Source
O(n) Apply the monadic action to all elements of a vector and ignore the
results. Equivalent to flip
.
mapM_
Zipping
zipWith :: (Prim a, Prim b, Prim c) => (a -> b -> c) -> Vector a -> Vector b -> Vector cSource
O(min(m,n)) Zip two vectors with the given function.
zipWith3 :: (Prim a, Prim b, Prim c, Prim d) => (a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector dSource
Zip three vectors with the given function.
zipWith4 :: (Prim a, Prim b, Prim c, Prim d, Prim e) => (a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector eSource
zipWith5 :: (Prim a, Prim b, Prim c, Prim d, Prim e, Prim f) => (a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector fSource
zipWith6 :: (Prim a, Prim b, Prim c, Prim d, Prim e, Prim f, Prim g) => (a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector gSource
izipWith :: (Prim a, Prim b, Prim c) => (Int -> a -> b -> c) -> Vector a -> Vector b -> Vector cSource
O(min(m,n)) Zip two vectors with a function that also takes the elements' indices.
izipWith3 :: (Prim a, Prim b, Prim c, Prim d) => (Int -> a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector dSource
Zip three vectors and their indices with the given function.
izipWith4 :: (Prim a, Prim b, Prim c, Prim d, Prim e) => (Int -> a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector eSource
izipWith5 :: (Prim a, Prim b, Prim c, Prim d, Prim e, Prim f) => (Int -> a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector fSource
izipWith6 :: (Prim a, Prim b, Prim c, Prim d, Prim e, Prim f, Prim g) => (Int -> a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector gSource
Monadic zipping
zipWithM :: (Monad m, Prim a, Prim b, Prim c) => (a -> b -> m c) -> Vector a -> Vector b -> m (Vector c)Source
O(min(m,n)) Zip the two vectors with the monadic action and yield a vector of results
zipWithM_ :: (Monad m, Prim a, Prim b) => (a -> b -> m c) -> Vector a -> Vector b -> m ()Source
O(min(m,n)) Zip the two vectors with the monadic action and ignore the results
Working with predicates
Filtering
filter :: Prim a => (a -> Bool) -> Vector a -> Vector aSource
O(n) Drop elements that do not satisfy the predicate
ifilter :: Prim a => (Int -> a -> Bool) -> Vector a -> Vector aSource
O(n) Drop elements that do not satisfy the predicate which is applied to values and their indices
filterM :: (Monad m, Prim a) => (a -> m Bool) -> Vector a -> m (Vector a)Source
O(n) Drop elements that do not satisfy the monadic predicate
takeWhile :: Prim a => (a -> Bool) -> Vector a -> Vector aSource
O(n) Yield the longest prefix of elements satisfying the predicate without copying.
dropWhile :: Prim a => (a -> Bool) -> Vector a -> Vector aSource
O(n) Drop the longest prefix of elements that satisfy the predicate without copying.
Partitioning
partition :: Prim a => (a -> Bool) -> Vector a -> (Vector a, Vector a)Source
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 :: Prim a => (a -> Bool) -> Vector a -> (Vector a, Vector a)Source
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 :: Prim a => (a -> Bool) -> Vector a -> (Vector a, Vector a)Source
O(n) Split the vector into the longest prefix of elements that satisfy the predicate and the rest without copying.
break :: Prim a => (a -> Bool) -> Vector a -> (Vector a, Vector a)Source
O(n) Split the vector into the longest prefix of elements that do not satisfy the predicate and the rest without copying.
Searching
notElem :: (Prim a, Eq a) => a -> Vector a -> BoolSource
O(n) Check if the vector does not contain an element (inverse of elem
)
findIndices :: Prim a => (a -> Bool) -> Vector a -> Vector IntSource
O(n) Yield the indices of elements satisfying the predicate in ascending order.
elemIndices :: (Prim a, Eq a) => a -> Vector a -> Vector IntSource
O(n) Yield the indices of all occurences of the given element in
ascending order. This is a specialised version of findIndices
.
Folding
foldl1' :: Prim a => (a -> a -> a) -> Vector a -> aSource
O(n) Left fold on non-empty vectors with strict accumulator
foldr' :: Prim a => (a -> b -> b) -> b -> Vector a -> bSource
O(n) Right fold with a strict accumulator
foldr1' :: Prim a => (a -> a -> a) -> Vector a -> aSource
O(n) Right fold on non-empty vectors with strict accumulator
ifoldl :: Prim b => (a -> Int -> b -> a) -> a -> Vector b -> aSource
O(n) Left fold (function applied to each element and its index)
ifoldl' :: Prim b => (a -> Int -> b -> a) -> a -> Vector b -> aSource
O(n) Left fold with strict accumulator (function applied to each element and its index)
ifoldr :: Prim a => (Int -> a -> b -> b) -> b -> Vector a -> bSource
O(n) Right fold (function applied to each element and its index)
ifoldr' :: Prim a => (Int -> a -> b -> b) -> b -> Vector a -> bSource
O(n) Right fold with strict accumulator (function applied to each element and its index)
Specialised folds
all :: Prim a => (a -> Bool) -> Vector a -> BoolSource
O(n) Check if all elements satisfy the predicate.
any :: Prim a => (a -> Bool) -> Vector a -> BoolSource
O(n) Check if any element satisfies the predicate.
maximum :: (Prim a, Ord a) => Vector a -> aSource
O(n) Yield the maximum element of the vector. The vector may not be empty.
maximumBy :: Prim a => (a -> a -> Ordering) -> Vector a -> aSource
O(n) Yield the maximum element of the vector according to the given comparison function. The vector may not be empty.
minimum :: (Prim a, Ord a) => Vector a -> aSource
O(n) Yield the minimum element of the vector. The vector may not be empty.
minimumBy :: Prim a => (a -> a -> Ordering) -> Vector a -> aSource
O(n) Yield the minimum element of the vector according to the given comparison function. The vector may not be empty.
minIndex :: (Prim a, Ord a) => Vector a -> IntSource
O(n) Yield the index of the minimum element of the vector. The vector may not be empty.
minIndexBy :: Prim a => (a -> a -> Ordering) -> Vector a -> IntSource
O(n) Yield the index of the minimum element of the vector according to the given comparison function. The vector may not be empty.
maxIndex :: (Prim a, Ord a) => Vector a -> IntSource
O(n) Yield the index of the maximum element of the vector. The vector may not be empty.
maxIndexBy :: Prim a => (a -> a -> Ordering) -> Vector a -> IntSource
O(n) Yield the index of the maximum element of the vector according to the given comparison function. The vector may not be empty.
Monadic folds
foldM' :: (Monad m, Prim b) => (a -> b -> m a) -> a -> Vector b -> m aSource
O(n) Monadic fold with strict accumulator
fold1M :: (Monad m, Prim a) => (a -> a -> m a) -> Vector a -> m aSource
O(n) Monadic fold over non-empty vectors
fold1M' :: (Monad m, Prim a) => (a -> a -> m a) -> Vector a -> m aSource
O(n) Monadic fold over non-empty vectors with strict accumulator
foldM_ :: (Monad m, Prim b) => (a -> b -> m a) -> a -> Vector b -> m ()Source
O(n) Monadic fold that discards the result
foldM'_ :: (Monad m, Prim b) => (a -> b -> m a) -> a -> Vector b -> m ()Source
O(n) Monadic fold with strict accumulator that discards the result
fold1M_ :: (Monad m, Prim a) => (a -> a -> m a) -> Vector a -> m ()Source
O(n) Monadic fold over non-empty vectors that discards the result
fold1M'_ :: (Monad m, Prim a) => (a -> a -> m a) -> Vector a -> m ()Source
O(n) Monadic fold over non-empty vectors with strict accumulator that discards the result
Prefix sums (scans)
prescanl' :: (Prim a, Prim b) => (a -> b -> a) -> a -> Vector b -> Vector aSource
O(n) Prescan with strict accumulator
postscanl' :: (Prim a, Prim b) => (a -> b -> a) -> a -> Vector b -> Vector aSource
O(n) Scan with strict accumulator
scanl :: (Prim a, Prim b) => (a -> b -> a) -> a -> Vector b -> Vector aSource
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' :: (Prim a, Prim b) => (a -> b -> a) -> a -> Vector b -> Vector aSource
O(n) Haskell-style scan with strict accumulator
scanl1 :: Prim a => (a -> a -> a) -> Vector a -> Vector aSource
O(n) Scan over a non-empty vector
scanl f <x1,...,xn> = <y1,...,yn> where y1 = x1 yi = f y(i-1) xi
scanl1' :: Prim a => (a -> a -> a) -> Vector a -> Vector aSource
O(n) Scan over a non-empty vector with a strict accumulator
prescanr' :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector bSource
O(n) Right-to-left prescan with strict accumulator
postscanr :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector bSource
O(n) Right-to-left scan
postscanr' :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector bSource
O(n) Right-to-left scan with strict accumulator
scanr :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector bSource
O(n) Right-to-left Haskell-style scan
scanr' :: (Prim a, Prim b) => (a -> b -> b) -> b -> Vector a -> Vector bSource
O(n) Right-to-left Haskell-style scan with strict accumulator
scanr1 :: Prim a => (a -> a -> a) -> Vector a -> Vector aSource
O(n) Right-to-left scan over a non-empty vector
scanr1' :: Prim a => (a -> a -> a) -> Vector a -> Vector aSource
O(n) Right-to-left scan over a non-empty vector with a strict accumulator
Conversions
Lists
Other vector types
Mutable vectors
freeze :: (Prim a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a)Source
O(n) Yield an immutable copy of the mutable vector.
thaw :: (Prim a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a)Source
O(n) Yield a mutable copy of the immutable vector.
copy :: (Prim a, PrimMonad m) => MVector (PrimState m) a -> Vector a -> m ()Source
O(n) Copy an immutable vector into a mutable one. The two vectors must have the same length.
unsafeFreeze :: (Prim a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a)Source
O(1) Unsafe convert a mutable vector to an immutable one without copying. The mutable vector may not be used after this operation.