| Copyright | (c) Roman Leshchinskiy 2009-2010 |
|---|---|
| License | BSD-style |
| Maintainer | Roman Leshchinskiy <rl@cse.unsw.edu.au> |
| Stability | experimental |
| Portability | non-portable |
| Safe Haskell | None |
| Language | Haskell2010 |
Data.Vector.Unboxed
Contents
Description
Adaptive unboxed vectors. The implementation is based on type families and picks an efficient, specialised representation for every element type. In particular, unboxed vectors of pairs are represented as pairs of unboxed vectors.
Implementing unboxed vectors for new data types can be very easy. Here is
how the library does this for Complex by simply wrapping vectors of
pairs.
newtype instanceMVectors (Complexa) = MV_Complex (MVectors (a,a)) newtype instanceVector(Complexa) = V_Complex (Vector(a,a)) instance (RealFloata,Unboxa) =>MVectorMVector(Complexa) where {-# INLINE basicLength #-} basicLength (MV_Complex v) =basicLengthv ... instance (RealFloata,Unboxa) => Data.Vector.Generic.VectorVector(Complexa) where {-# INLINE basicLength #-} basicLength (V_Complex v) = Data.Vector.Generic.basicLength v ... instance (RealFloata,Unboxa) =>Unbox(Complexa)
Synopsis
- data family Vector a
- data family MVector s a
- class (Vector Vector a, MVector MVector a) => Unbox a
- length :: Unbox a => Vector a -> Int
- null :: Unbox a => Vector a -> Bool
- (!) :: Unbox a => Vector a -> Int -> a
- (!?) :: Unbox a => Vector a -> Int -> Maybe a
- head :: Unbox a => Vector a -> a
- last :: Unbox a => Vector a -> a
- unsafeIndex :: Unbox a => Vector a -> Int -> a
- unsafeHead :: Unbox a => Vector a -> a
- unsafeLast :: Unbox a => Vector a -> a
- indexM :: (Unbox a, Monad m) => Vector a -> Int -> m a
- headM :: (Unbox a, Monad m) => Vector a -> m a
- lastM :: (Unbox a, Monad m) => Vector a -> m a
- unsafeIndexM :: (Unbox a, Monad m) => Vector a -> Int -> m a
- unsafeHeadM :: (Unbox a, Monad m) => Vector a -> m a
- unsafeLastM :: (Unbox a, Monad m) => Vector a -> m a
- slice :: Unbox a => Int -> Int -> Vector a -> Vector a
- init :: Unbox a => Vector a -> Vector a
- tail :: Unbox a => Vector a -> Vector a
- take :: Unbox a => Int -> Vector a -> Vector a
- drop :: Unbox a => Int -> Vector a -> Vector a
- splitAt :: Unbox a => Int -> Vector a -> (Vector a, Vector a)
- unsafeSlice :: Unbox a => Int -> Int -> Vector a -> Vector a
- unsafeInit :: Unbox a => Vector a -> Vector a
- unsafeTail :: Unbox a => Vector a -> Vector a
- unsafeTake :: Unbox a => Int -> Vector a -> Vector a
- unsafeDrop :: Unbox a => Int -> Vector a -> Vector a
- empty :: Unbox a => Vector a
- singleton :: Unbox a => a -> Vector a
- replicate :: Unbox a => Int -> a -> Vector a
- generate :: Unbox a => Int -> (Int -> a) -> Vector a
- iterateN :: Unbox a => Int -> (a -> a) -> a -> Vector a
- replicateM :: (Monad m, Unbox a) => Int -> m a -> m (Vector a)
- generateM :: (Monad m, Unbox a) => Int -> (Int -> m a) -> m (Vector a)
- iterateNM :: (Monad m, Unbox a) => Int -> (a -> m a) -> a -> m (Vector a)
- create :: Unbox a => (forall s. ST s (MVector s a)) -> Vector a
- createT :: (Traversable f, Unbox a) => (forall s. ST s (f (MVector s a))) -> f (Vector a)
- unfoldr :: Unbox a => (b -> Maybe (a, b)) -> b -> Vector a
- unfoldrN :: Unbox a => Int -> (b -> Maybe (a, b)) -> b -> Vector a
- unfoldrM :: (Monad m, Unbox a) => (b -> m (Maybe (a, b))) -> b -> m (Vector a)
- unfoldrNM :: (Monad m, Unbox a) => Int -> (b -> m (Maybe (a, b))) -> b -> m (Vector a)
- constructN :: Unbox a => Int -> (Vector a -> a) -> Vector a
- constructrN :: Unbox a => Int -> (Vector a -> a) -> Vector a
- enumFromN :: (Unbox a, Num a) => a -> Int -> Vector a
- enumFromStepN :: (Unbox a, Num a) => a -> a -> Int -> Vector a
- enumFromTo :: (Unbox a, Enum a) => a -> a -> Vector a
- enumFromThenTo :: (Unbox a, Enum a) => a -> a -> a -> Vector a
- cons :: Unbox a => a -> Vector a -> Vector a
- snoc :: Unbox a => Vector a -> a -> Vector a
- (++) :: Unbox a => Vector a -> Vector a -> Vector a
- concat :: Unbox a => [Vector a] -> Vector a
- force :: Unbox a => Vector a -> Vector a
- (//) :: Unbox a => Vector a -> [(Int, a)] -> Vector a
- update :: Unbox a => Vector a -> Vector (Int, a) -> Vector a
- update_ :: Unbox a => Vector a -> Vector Int -> Vector a -> Vector a
- unsafeUpd :: Unbox a => Vector a -> [(Int, a)] -> Vector a
- unsafeUpdate :: Unbox a => Vector a -> Vector (Int, a) -> Vector a
- unsafeUpdate_ :: Unbox a => Vector a -> Vector Int -> Vector a -> Vector a
- accum :: Unbox a => (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a
- accumulate :: (Unbox a, Unbox b) => (a -> b -> a) -> Vector a -> Vector (Int, b) -> Vector a
- accumulate_ :: (Unbox a, Unbox b) => (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a
- unsafeAccum :: Unbox a => (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a
- unsafeAccumulate :: (Unbox a, Unbox b) => (a -> b -> a) -> Vector a -> Vector (Int, b) -> Vector a
- unsafeAccumulate_ :: (Unbox a, Unbox b) => (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a
- reverse :: Unbox a => Vector a -> Vector a
- backpermute :: Unbox a => Vector a -> Vector Int -> Vector a
- unsafeBackpermute :: Unbox a => Vector a -> Vector Int -> Vector a
- modify :: Unbox a => (forall s. MVector s a -> ST s ()) -> Vector a -> Vector a
- indexed :: Unbox a => Vector a -> Vector (Int, a)
- map :: (Unbox a, Unbox b) => (a -> b) -> Vector a -> Vector b
- imap :: (Unbox a, Unbox b) => (Int -> a -> b) -> Vector a -> Vector b
- concatMap :: (Unbox a, Unbox b) => (a -> Vector b) -> Vector a -> Vector b
- mapM :: (Monad m, Unbox a, Unbox b) => (a -> m b) -> Vector a -> m (Vector b)
- imapM :: (Monad m, Unbox a, Unbox b) => (Int -> a -> m b) -> Vector a -> m (Vector b)
- mapM_ :: (Monad m, Unbox a) => (a -> m b) -> Vector a -> m ()
- imapM_ :: (Monad m, Unbox a) => (Int -> a -> m b) -> Vector a -> m ()
- forM :: (Monad m, Unbox a, Unbox b) => Vector a -> (a -> m b) -> m (Vector b)
- forM_ :: (Monad m, Unbox a) => Vector a -> (a -> m b) -> m ()
- zipWith :: (Unbox a, Unbox b, Unbox c) => (a -> b -> c) -> Vector a -> Vector b -> Vector c
- zipWith3 :: (Unbox a, Unbox b, Unbox c, Unbox d) => (a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d
- zipWith4 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => (a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
- zipWith5 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f) => (a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f
- zipWith6 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f, Unbox g) => (a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g
- izipWith :: (Unbox a, Unbox b, Unbox c) => (Int -> a -> b -> c) -> Vector a -> Vector b -> Vector c
- izipWith3 :: (Unbox a, Unbox b, Unbox c, Unbox d) => (Int -> a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d
- izipWith4 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => (Int -> a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
- izipWith5 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f) => (Int -> a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f
- izipWith6 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f, Unbox g) => (Int -> a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g
- zip :: (Unbox a, Unbox b) => Vector a -> Vector b -> Vector (a, b)
- zip3 :: (Unbox a, Unbox b, Unbox c) => Vector a -> Vector b -> Vector c -> Vector (a, b, c)
- zip4 :: (Unbox a, Unbox b, Unbox c, Unbox d) => Vector a -> Vector b -> Vector c -> Vector d -> Vector (a, b, c, d)
- zip5 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector (a, b, c, d, e)
- zip6 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f) => Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector (a, b, c, d, e, f)
- zipWithM :: (Monad m, Unbox a, Unbox b, Unbox c) => (a -> b -> m c) -> Vector a -> Vector b -> m (Vector c)
- izipWithM :: (Monad m, Unbox a, Unbox b, Unbox c) => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m (Vector c)
- zipWithM_ :: (Monad m, Unbox a, Unbox b) => (a -> b -> m c) -> Vector a -> Vector b -> m ()
- izipWithM_ :: (Monad m, Unbox a, Unbox b) => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m ()
- unzip :: (Unbox a, Unbox b) => Vector (a, b) -> (Vector a, Vector b)
- unzip3 :: (Unbox a, Unbox b, Unbox c) => Vector (a, b, c) -> (Vector a, Vector b, Vector c)
- unzip4 :: (Unbox a, Unbox b, Unbox c, Unbox d) => Vector (a, b, c, d) -> (Vector a, Vector b, Vector c, Vector d)
- unzip5 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => Vector (a, b, c, d, e) -> (Vector a, Vector b, Vector c, Vector d, Vector e)
- unzip6 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f) => Vector (a, b, c, d, e, f) -> (Vector a, Vector b, Vector c, Vector d, Vector e, Vector f)
- filter :: Unbox a => (a -> Bool) -> Vector a -> Vector a
- ifilter :: Unbox a => (Int -> a -> Bool) -> Vector a -> Vector a
- uniq :: (Unbox a, Eq a) => Vector a -> Vector a
- mapMaybe :: (Unbox a, Unbox b) => (a -> Maybe b) -> Vector a -> Vector b
- imapMaybe :: (Unbox a, Unbox b) => (Int -> a -> Maybe b) -> Vector a -> Vector b
- filterM :: (Monad m, Unbox a) => (a -> m Bool) -> Vector a -> m (Vector a)
- takeWhile :: Unbox a => (a -> Bool) -> Vector a -> Vector a
- dropWhile :: Unbox a => (a -> Bool) -> Vector a -> Vector a
- partition :: Unbox a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- unstablePartition :: Unbox a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- span :: Unbox a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- break :: Unbox a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- elem :: (Unbox a, Eq a) => a -> Vector a -> Bool
- notElem :: (Unbox a, Eq a) => a -> Vector a -> Bool
- find :: Unbox a => (a -> Bool) -> Vector a -> Maybe a
- findIndex :: Unbox a => (a -> Bool) -> Vector a -> Maybe Int
- findIndices :: Unbox a => (a -> Bool) -> Vector a -> Vector Int
- elemIndex :: (Unbox a, Eq a) => a -> Vector a -> Maybe Int
- elemIndices :: (Unbox a, Eq a) => a -> Vector a -> Vector Int
- foldl :: Unbox b => (a -> b -> a) -> a -> Vector b -> a
- foldl1 :: Unbox a => (a -> a -> a) -> Vector a -> a
- foldl' :: Unbox b => (a -> b -> a) -> a -> Vector b -> a
- foldl1' :: Unbox a => (a -> a -> a) -> Vector a -> a
- foldr :: Unbox a => (a -> b -> b) -> b -> Vector a -> b
- foldr1 :: Unbox a => (a -> a -> a) -> Vector a -> a
- foldr' :: Unbox a => (a -> b -> b) -> b -> Vector a -> b
- foldr1' :: Unbox a => (a -> a -> a) -> Vector a -> a
- ifoldl :: Unbox b => (a -> Int -> b -> a) -> a -> Vector b -> a
- ifoldl' :: Unbox b => (a -> Int -> b -> a) -> a -> Vector b -> a
- ifoldr :: Unbox a => (Int -> a -> b -> b) -> b -> Vector a -> b
- ifoldr' :: Unbox a => (Int -> a -> b -> b) -> b -> Vector a -> b
- all :: Unbox a => (a -> Bool) -> Vector a -> Bool
- any :: Unbox a => (a -> Bool) -> Vector a -> Bool
- and :: Vector Bool -> Bool
- or :: Vector Bool -> Bool
- sum :: (Unbox a, Num a) => Vector a -> a
- product :: (Unbox a, Num a) => Vector a -> a
- maximum :: (Unbox a, Ord a) => Vector a -> a
- maximumBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> a
- minimum :: (Unbox a, Ord a) => Vector a -> a
- minimumBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> a
- minIndex :: (Unbox a, Ord a) => Vector a -> Int
- minIndexBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> Int
- maxIndex :: (Unbox a, Ord a) => Vector a -> Int
- maxIndexBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> Int
- foldM :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m a
- ifoldM :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m a
- foldM' :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m a
- ifoldM' :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m a
- fold1M :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m a
- fold1M' :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m a
- foldM_ :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m ()
- ifoldM_ :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m ()
- foldM'_ :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m ()
- ifoldM'_ :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m ()
- fold1M_ :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m ()
- fold1M'_ :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m ()
- prescanl :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
- prescanl' :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
- postscanl :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
- postscanl' :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
- scanl :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
- scanl' :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a
- scanl1 :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
- scanl1' :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
- prescanr :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
- prescanr' :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
- postscanr :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
- postscanr' :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
- scanr :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
- scanr' :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b
- scanr1 :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
- scanr1' :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
- toList :: Unbox a => Vector a -> [a]
- fromList :: Unbox a => [a] -> Vector a
- fromListN :: Unbox a => Int -> [a] -> Vector a
- convert :: (Vector v a, Vector w a) => v a -> w a
- freeze :: (Unbox a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a)
- thaw :: (Unbox a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a)
- copy :: (Unbox a, PrimMonad m) => MVector (PrimState m) a -> Vector a -> m ()
- unsafeFreeze :: (Unbox a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a)
- unsafeThaw :: (Unbox a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a)
- unsafeCopy :: (Unbox a, PrimMonad m) => MVector (PrimState m) a -> Vector a -> m ()
Unboxed vectors
Instances
data family MVector s a Source #
Instances
class (Vector Vector a, MVector MVector a) => Unbox a Source #
Instances
Accessors
Length information
Indexing
unsafeHead :: Unbox a => Vector a -> a Source #
O(1) First element without checking if the vector is empty
unsafeLast :: Unbox a => Vector a -> a Source #
O(1) Last element without checking if the vector is empty
Monadic indexing
indexM :: (Unbox a, Monad m) => Vector a -> Int -> m a Source #
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 xHere, no references to v are retained because indexing (but not the
elements) is evaluated eagerly.
headM :: (Unbox a, Monad m) => Vector a -> m a Source #
O(1) First element of a vector in a monad. See indexM for an
explanation of why this is useful.
lastM :: (Unbox a, Monad m) => Vector a -> m a Source #
O(1) Last element of a vector in a monad. See indexM for an
explanation of why this is useful.
unsafeIndexM :: (Unbox a, Monad m) => Vector a -> Int -> m a Source #
O(1) Indexing in a monad without bounds checks. See indexM for an
explanation of why this is useful.
unsafeHeadM :: (Unbox a, Monad m) => Vector a -> m a Source #
O(1) First element in a monad without checking for empty vectors.
See indexM for an explanation of why this is useful.
unsafeLastM :: (Unbox a, Monad m) => Vector a -> m a Source #
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 :: Unbox a => Vector a -> Vector a Source #
O(1) Yield all but the last element without copying. The vector may not be empty.
tail :: Unbox a => Vector a -> Vector a Source #
O(1) Yield all but the first element without copying. The vector may not be empty.
take :: Unbox a => Int -> Vector a -> Vector a Source #
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 :: Unbox a => Int -> Vector a -> Vector a Source #
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 :: Unbox a => Vector a -> Vector a Source #
O(1) Yield all but the last element without copying. The vector may not be empty but this is not checked.
unsafeTail :: Unbox a => Vector a -> Vector a Source #
O(1) Yield all but the first element without copying. The vector may not be empty but this is not checked.
unsafeTake :: Unbox a => Int -> Vector a -> Vector a Source #
O(1) Yield the first n elements without copying. The vector must
contain at least n elements but this is not checked.
unsafeDrop :: Unbox a => Int -> Vector a -> Vector a Source #
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 :: Unbox a => Int -> a -> Vector a Source #
O(n) Vector of the given length with the same value in each position
generate :: Unbox a => Int -> (Int -> a) -> Vector a Source #
O(n) Construct a vector of the given length by applying the function to each index
iterateN :: Unbox a => Int -> (a -> a) -> a -> Vector a Source #
O(n) Apply function n times to value. Zeroth element is original value.
Monadic initialisation
replicateM :: (Monad m, Unbox 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, Unbox 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
iterateNM :: (Monad m, Unbox a) => Int -> (a -> m a) -> a -> m (Vector a) Source #
O(n) Apply monadic function n times to value. Zeroth element is original value.
create :: Unbox a => (forall s. ST s (MVector s a)) -> Vector a Source #
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, Unbox a) => (forall s. ST s (f (MVector s a))) -> f (Vector a) Source #
Execute the monadic action and freeze the resulting vectors.
Unfolding
constructN :: Unbox a => Int -> (Vector a -> a) -> Vector a Source #
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 :: Unbox a => Int -> (Vector a -> a) -> Vector a Source #
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 :: (Unbox a, Num a) => a -> Int -> Vector a Source #
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 :: (Unbox a, Num a) => a -> a -> Int -> Vector a Source #
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 :: (Unbox a, Enum a) => a -> a -> Vector a Source #
O(n) Enumerate values from x to y.
WARNING: This operation can be very inefficient. If at all possible, use
enumFromN instead.
enumFromThenTo :: (Unbox a, Enum a) => a -> a -> a -> Vector a Source #
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 :: Unbox a => Vector a -> Vector a Source #
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
| :: Unbox 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
| :: Unbox a | |
| => Vector a | initial vector (of length |
| -> Vector (Int, a) | vector of index/value pairs (of length |
| -> 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>
Arguments
| :: Unbox 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>
The function update provides the same functionality and is usually more
convenient.
update_ xs is ys =updatexs (zipis ys)
unsafeUpd :: Unbox a => Vector a -> [(Int, a)] -> Vector a Source #
Same as (//) but without bounds checking.
unsafeUpdate :: Unbox a => Vector a -> Vector (Int, a) -> Vector a Source #
Same as update but without bounds checking.
unsafeUpdate_ :: Unbox a => Vector a -> Vector Int -> Vector a -> Vector a Source #
Same as update_ but without bounds checking.
Accumulations
Arguments
| :: Unbox 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
| :: (Unbox a, Unbox b) | |
| => (a -> b -> a) | accumulating function |
| -> Vector a | initial vector (of length |
| -> Vector (Int, b) | vector of index/value pairs (of length |
| -> 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.
accumulate (+) <5,9,2> <(2,4),(1,6),(0,3),(1,7)> = <5+3, 9+6+7, 2+4>
Arguments
| :: (Unbox a, Unbox 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>
The function accumulate provides the same functionality and is usually more
convenient.
accumulate_ f as is bs =accumulatef as (zipis bs)
unsafeAccum :: Unbox a => (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a Source #
Same as accum but without bounds checking.
unsafeAccumulate :: (Unbox a, Unbox b) => (a -> b -> a) -> Vector a -> Vector (Int, b) -> Vector a Source #
Same as accumulate but without bounds checking.
unsafeAccumulate_ :: (Unbox a, Unbox b) => (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a Source #
Same as accumulate_ but without bounds checking.
Permutations
unsafeBackpermute :: Unbox a => Vector a -> Vector Int -> Vector a Source #
Same as backpermute but without bounds checking.
Safe destructive updates
modify :: Unbox a => (forall s. MVector s a -> ST s ()) -> Vector a -> Vector a Source #
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
Indexing
indexed :: Unbox a => Vector a -> Vector (Int, a) Source #
O(n) Pair each element in a vector with its index
Mapping
map :: (Unbox a, Unbox b) => (a -> b) -> Vector a -> Vector b Source #
O(n) Map a function over a vector
imap :: (Unbox a, Unbox b) => (Int -> a -> b) -> Vector a -> Vector b Source #
O(n) Apply a function to every element of a vector and its index
concatMap :: (Unbox a, Unbox b) => (a -> Vector b) -> Vector a -> Vector b Source #
Map a function over a vector and concatenate the results.
Monadic mapping
mapM :: (Monad m, Unbox a, Unbox 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
imapM :: (Monad m, Unbox a, Unbox b) => (Int -> a -> m b) -> Vector a -> m (Vector b) Source #
O(n) Apply the monadic action to every element of a vector and its index, yielding a vector of results
mapM_ :: (Monad m, Unbox a) => (a -> m b) -> Vector a -> m () Source #
O(n) Apply the monadic action to all elements of a vector and ignore the results
imapM_ :: (Monad m, Unbox a) => (Int -> a -> m b) -> Vector a -> m () Source #
O(n) Apply the monadic action to every element of a vector and its index, ignoring the results
forM :: (Monad m, Unbox a, Unbox 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. Equivalent to flip .mapM
forM_ :: (Monad m, Unbox 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 :: (Unbox a, Unbox b, Unbox c) => (a -> b -> c) -> Vector a -> Vector b -> Vector c Source #
O(min(m,n)) Zip two vectors with the given function.
zipWith3 :: (Unbox a, Unbox b, Unbox c, Unbox d) => (a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d Source #
Zip three vectors with the given function.
zipWith4 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => (a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e Source #
zipWith5 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f) => (a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f Source #
zipWith6 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f, Unbox g) => (a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g Source #
izipWith :: (Unbox a, Unbox b, Unbox c) => (Int -> a -> b -> c) -> Vector a -> Vector b -> Vector c Source #
O(min(m,n)) Zip two vectors with a function that also takes the elements' indices.
izipWith3 :: (Unbox a, Unbox b, Unbox c, Unbox d) => (Int -> a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d Source #
Zip three vectors and their indices with the given function.
izipWith4 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => (Int -> a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e Source #
izipWith5 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f) => (Int -> a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f Source #
izipWith6 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f, Unbox g) => (Int -> a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g Source #
zip3 :: (Unbox a, Unbox b, Unbox c) => Vector a -> Vector b -> Vector c -> Vector (a, b, c) Source #
O(1) Zip 3 vectors
zip4 :: (Unbox a, Unbox b, Unbox c, Unbox d) => Vector a -> Vector b -> Vector c -> Vector d -> Vector (a, b, c, d) Source #
O(1) Zip 4 vectors
zip5 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector (a, b, c, d, e) Source #
O(1) Zip 5 vectors
zip6 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f) => Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector (a, b, c, d, e, f) Source #
O(1) Zip 6 vectors
Monadic zipping
zipWithM :: (Monad m, Unbox a, Unbox b, Unbox 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
izipWithM :: (Monad m, Unbox a, Unbox b, Unbox c) => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m (Vector c) Source #
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, Unbox a, Unbox 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
izipWithM_ :: (Monad m, Unbox a, Unbox b) => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m () Source #
O(min(m,n)) Zip the two vectors with a monadic action that also takes the element index and ignore the results
Unzipping
unzip3 :: (Unbox a, Unbox b, Unbox c) => Vector (a, b, c) -> (Vector a, Vector b, Vector c) Source #
O(1) Unzip 3 vectors
unzip4 :: (Unbox a, Unbox b, Unbox c, Unbox d) => Vector (a, b, c, d) -> (Vector a, Vector b, Vector c, Vector d) Source #
O(1) Unzip 4 vectors
unzip5 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e) => Vector (a, b, c, d, e) -> (Vector a, Vector b, Vector c, Vector d, Vector e) Source #
O(1) Unzip 5 vectors
unzip6 :: (Unbox a, Unbox b, Unbox c, Unbox d, Unbox e, Unbox f) => Vector (a, b, c, d, e, f) -> (Vector a, Vector b, Vector c, Vector d, Vector e, Vector f) Source #
O(1) Unzip 6 vectors
Working with predicates
Filtering
filter :: Unbox a => (a -> Bool) -> Vector a -> Vector a Source #
O(n) Drop elements that do not satisfy the predicate
ifilter :: Unbox a => (Int -> a -> Bool) -> Vector a -> Vector a Source #
O(n) Drop elements that do not satisfy the predicate which is applied to values and their indices
mapMaybe :: (Unbox a, Unbox b) => (a -> Maybe b) -> Vector a -> Vector b Source #
O(n) Drop elements when predicate returns Nothing
imapMaybe :: (Unbox a, Unbox b) => (Int -> a -> Maybe b) -> Vector a -> Vector b Source #
O(n) Drop elements when predicate, applied to index and value, returns Nothing
filterM :: (Monad m, Unbox a) => (a -> m Bool) -> Vector a -> m (Vector a) Source #
O(n) Drop elements that do not satisfy the monadic predicate
takeWhile :: Unbox a => (a -> Bool) -> Vector a -> Vector a Source #
O(n) Yield the longest prefix of elements satisfying the predicate without copying.
dropWhile :: Unbox a => (a -> Bool) -> Vector a -> Vector a Source #
O(n) Drop the longest prefix of elements that satisfy the predicate without copying.
Partitioning
partition :: Unbox 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 :: Unbox 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 :: Unbox 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 :: Unbox 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
elem :: (Unbox a, Eq a) => a -> Vector a -> Bool infix 4 Source #
O(n) Check if the vector contains an element
notElem :: (Unbox a, Eq a) => a -> Vector a -> Bool infix 4 Source #
O(n) Check if the vector does not contain an element (inverse of elem)
findIndices :: Unbox a => (a -> Bool) -> Vector a -> Vector Int Source #
O(n) Yield the indices of elements satisfying the predicate in ascending order.
elemIndices :: (Unbox a, Eq a) => a -> Vector a -> Vector Int Source #
O(n) Yield the indices of all occurences of the given element in
ascending order. This is a specialised version of findIndices.
Folding
foldl' :: Unbox b => (a -> b -> a) -> a -> Vector b -> a Source #
O(n) Left fold with strict accumulator
foldl1' :: Unbox a => (a -> a -> a) -> Vector a -> a Source #
O(n) Left fold on non-empty vectors with strict accumulator
foldr' :: Unbox a => (a -> b -> b) -> b -> Vector a -> b Source #
O(n) Right fold with a strict accumulator
foldr1' :: Unbox a => (a -> a -> a) -> Vector a -> a Source #
O(n) Right fold on non-empty vectors with strict accumulator
ifoldl :: Unbox b => (a -> Int -> b -> a) -> a -> Vector b -> a Source #
O(n) Left fold (function applied to each element and its index)
ifoldl' :: Unbox b => (a -> Int -> b -> a) -> a -> Vector b -> a Source #
O(n) Left fold with strict accumulator (function applied to each element and its index)
ifoldr :: Unbox a => (Int -> a -> b -> b) -> b -> Vector a -> b Source #
O(n) Right fold (function applied to each element and its index)
ifoldr' :: Unbox a => (Int -> a -> b -> b) -> b -> Vector a -> b Source #
O(n) Right fold with strict accumulator (function applied to each element and its index)
Specialised folds
all :: Unbox a => (a -> Bool) -> Vector a -> Bool Source #
O(n) Check if all elements satisfy the predicate.
any :: Unbox a => (a -> Bool) -> Vector a -> Bool Source #
O(n) Check if any element satisfies the predicate.
maximum :: (Unbox a, Ord a) => Vector a -> a Source #
O(n) Yield the maximum element of the vector. The vector may not be empty.
maximumBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> a Source #
O(n) Yield the maximum element of the vector according to the given comparison function. The vector may not be empty.
minimum :: (Unbox a, Ord a) => Vector a -> a Source #
O(n) Yield the minimum element of the vector. The vector may not be empty.
minimumBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> a Source #
O(n) Yield the minimum element of the vector according to the given comparison function. The vector may not be empty.
minIndex :: (Unbox a, Ord a) => Vector a -> Int Source #
O(n) Yield the index of the minimum element of the vector. The vector may not be empty.
minIndexBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> Int Source #
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 :: (Unbox a, Ord a) => Vector a -> Int Source #
O(n) Yield the index of the maximum element of the vector. The vector may not be empty.
maxIndexBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> Int Source #
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
ifoldM :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m a Source #
O(n) Monadic fold (action applied to each element and its index)
foldM' :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m a Source #
O(n) Monadic fold with strict accumulator
ifoldM' :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m a Source #
O(n) Monadic fold with strict accumulator (action applied to each element and its index)
fold1M :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m a Source #
O(n) Monadic fold over non-empty vectors
fold1M' :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m a Source #
O(n) Monadic fold over non-empty vectors with strict accumulator
foldM_ :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m () Source #
O(n) Monadic fold that discards the result
ifoldM_ :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m () Source #
O(n) Monadic fold that discards the result (action applied to each element and its index)
foldM'_ :: (Monad m, Unbox b) => (a -> b -> m a) -> a -> Vector b -> m () Source #
O(n) Monadic fold with strict accumulator that discards the result
ifoldM'_ :: (Monad m, Unbox b) => (a -> Int -> b -> m a) -> a -> Vector b -> m () Source #
O(n) Monadic fold with strict accumulator that discards the result (action applied to each element and its index)
fold1M_ :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m () Source #
O(n) Monadic fold over non-empty vectors that discards the result
fold1M'_ :: (Monad m, Unbox 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' :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Prescan with strict accumulator
postscanl' :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Scan with strict accumulator
scanl :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
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' :: (Unbox a, Unbox b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Haskell-style scan with strict accumulator
scanl1 :: Unbox a => (a -> a -> a) -> Vector a -> Vector a Source #
O(n) Scan over a non-empty vector
scanl f <x1,...,xn> = <y1,...,yn>
where y1 = x1
yi = f y(i-1) xiscanl1' :: Unbox a => (a -> a -> a) -> Vector a -> Vector a Source #
O(n) Scan over a non-empty vector with a strict accumulator
prescanr' :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left prescan with strict accumulator
postscanr :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left scan
postscanr' :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left scan with strict accumulator
scanr :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left Haskell-style scan
scanr' :: (Unbox a, Unbox b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left Haskell-style scan with strict accumulator
scanr1 :: Unbox a => (a -> a -> a) -> Vector a -> Vector a Source #
O(n) Right-to-left scan over a non-empty vector
scanr1' :: Unbox a => (a -> a -> a) -> Vector a -> Vector a Source #
O(n) Right-to-left scan over a non-empty vector with a strict accumulator
Conversions
Lists
Other vector types
Mutable vectors
freeze :: (Unbox a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a) Source #
O(n) Yield an immutable copy of the mutable vector.
thaw :: (Unbox a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a) Source #
O(n) Yield a mutable copy of the immutable vector.
copy :: (Unbox 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 :: (Unbox 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.
unsafeThaw :: (Unbox a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a) Source #
O(1) Unsafely convert an immutable vector to a mutable one without copying. The immutable vector may not be used after this operation.
unsafeCopy :: (Unbox 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. This is not checked.