Copyright | (c) Roman Leshchinskiy 2009-2010 Alexey Kuleshevich 2020-2022 Aleksey Khudyakov 2020-2022 Andrew Lelechenko 2020-2022 |
---|---|
License | BSD-style |
Maintainer | Haskell Libraries Team <libraries@haskell.org> |
Stability | experimental |
Portability | non-portable |
Safe Haskell | None |
Language | Haskell2010 |
Storable
-based vectors.
Synopsis
- data Vector a
- data MVector s a = MVector !Int !(ForeignPtr a)
- length :: Storable a => Vector a -> Int
- null :: Storable a => Vector a -> Bool
- (!) :: Storable a => Vector a -> Int -> a
- (!?) :: Storable a => Vector a -> Int -> Maybe a
- head :: Storable a => Vector a -> a
- last :: Storable a => Vector a -> a
- unsafeIndex :: Storable a => Vector a -> Int -> a
- unsafeHead :: Storable a => Vector a -> a
- unsafeLast :: Storable a => Vector a -> a
- indexM :: (Storable a, Monad m) => Vector a -> Int -> m a
- headM :: (Storable a, Monad m) => Vector a -> m a
- lastM :: (Storable a, Monad m) => Vector a -> m a
- unsafeIndexM :: (Storable a, Monad m) => Vector a -> Int -> m a
- unsafeHeadM :: (Storable a, Monad m) => Vector a -> m a
- unsafeLastM :: (Storable a, Monad m) => Vector a -> m a
- slice :: Storable a => Int -> Int -> Vector a -> Vector a
- init :: Storable a => Vector a -> Vector a
- tail :: Storable a => Vector a -> Vector a
- take :: Storable a => Int -> Vector a -> Vector a
- drop :: Storable a => Int -> Vector a -> Vector a
- splitAt :: Storable a => Int -> Vector a -> (Vector a, Vector a)
- uncons :: Storable a => Vector a -> Maybe (a, Vector a)
- unsnoc :: Storable a => Vector a -> Maybe (Vector a, a)
- unsafeSlice :: Storable a => Int -> Int -> Vector a -> Vector a
- unsafeInit :: Storable a => Vector a -> Vector a
- unsafeTail :: Storable a => Vector a -> Vector a
- unsafeTake :: Storable a => Int -> Vector a -> Vector a
- unsafeDrop :: Storable a => Int -> Vector a -> Vector a
- empty :: Storable a => Vector a
- singleton :: Storable a => a -> Vector a
- replicate :: Storable a => Int -> a -> Vector a
- generate :: Storable a => Int -> (Int -> a) -> Vector a
- iterateN :: Storable a => Int -> (a -> a) -> a -> Vector a
- replicateM :: (Monad m, Storable a) => Int -> m a -> m (Vector a)
- generateM :: (Monad m, Storable a) => Int -> (Int -> m a) -> m (Vector a)
- iterateNM :: (Monad m, Storable a) => Int -> (a -> m a) -> a -> m (Vector a)
- create :: Storable a => (forall s. ST s (MVector s a)) -> Vector a
- createT :: (Traversable f, Storable a) => (forall s. ST s (f (MVector s a))) -> f (Vector a)
- unfoldr :: Storable a => (b -> Maybe (a, b)) -> b -> Vector a
- unfoldrN :: Storable a => Int -> (b -> Maybe (a, b)) -> b -> Vector a
- unfoldrExactN :: Storable a => Int -> (b -> (a, b)) -> b -> Vector a
- unfoldrM :: (Monad m, Storable a) => (b -> m (Maybe (a, b))) -> b -> m (Vector a)
- unfoldrNM :: (Monad m, Storable a) => Int -> (b -> m (Maybe (a, b))) -> b -> m (Vector a)
- unfoldrExactNM :: (Monad m, Storable a) => Int -> (b -> m (a, b)) -> b -> m (Vector a)
- constructN :: Storable a => Int -> (Vector a -> a) -> Vector a
- constructrN :: Storable a => Int -> (Vector a -> a) -> Vector a
- enumFromN :: (Storable a, Num a) => a -> Int -> Vector a
- enumFromStepN :: (Storable a, Num a) => a -> a -> Int -> Vector a
- enumFromTo :: (Storable a, Enum a) => a -> a -> Vector a
- enumFromThenTo :: (Storable a, Enum a) => a -> a -> a -> Vector a
- cons :: Storable a => a -> Vector a -> Vector a
- snoc :: Storable a => Vector a -> a -> Vector a
- (++) :: Storable a => Vector a -> Vector a -> Vector a
- concat :: Storable a => [Vector a] -> Vector a
- force :: Storable a => Vector a -> Vector a
- (//) :: Storable a => Vector a -> [(Int, a)] -> Vector a
- update_ :: Storable a => Vector a -> Vector Int -> Vector a -> Vector a
- unsafeUpd :: Storable a => Vector a -> [(Int, a)] -> Vector a
- unsafeUpdate_ :: Storable a => Vector a -> Vector Int -> Vector a -> Vector a
- accum :: Storable a => (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a
- accumulate_ :: (Storable a, Storable b) => (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a
- unsafeAccum :: Storable a => (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a
- unsafeAccumulate_ :: (Storable a, Storable b) => (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a
- reverse :: Storable a => Vector a -> Vector a
- backpermute :: Storable a => Vector a -> Vector Int -> Vector a
- unsafeBackpermute :: Storable a => Vector a -> Vector Int -> Vector a
- modify :: Storable a => (forall s. MVector s a -> ST s ()) -> Vector a -> Vector a
- map :: (Storable a, Storable b) => (a -> b) -> Vector a -> Vector b
- imap :: (Storable a, Storable b) => (Int -> a -> b) -> Vector a -> Vector b
- concatMap :: (Storable a, Storable b) => (a -> Vector b) -> Vector a -> Vector b
- mapM :: (Monad m, Storable a, Storable b) => (a -> m b) -> Vector a -> m (Vector b)
- imapM :: (Monad m, Storable a, Storable b) => (Int -> a -> m b) -> Vector a -> m (Vector b)
- mapM_ :: (Monad m, Storable a) => (a -> m b) -> Vector a -> m ()
- imapM_ :: (Monad m, Storable a) => (Int -> a -> m b) -> Vector a -> m ()
- forM :: (Monad m, Storable a, Storable b) => Vector a -> (a -> m b) -> m (Vector b)
- forM_ :: (Monad m, Storable a) => Vector a -> (a -> m b) -> m ()
- iforM :: (Monad m, Storable a, Storable b) => Vector a -> (Int -> a -> m b) -> m (Vector b)
- iforM_ :: (Monad m, Storable a) => Vector a -> (Int -> a -> m b) -> m ()
- zipWith :: (Storable a, Storable b, Storable c) => (a -> b -> c) -> Vector a -> Vector b -> Vector c
- zipWith3 :: (Storable a, Storable b, Storable c, Storable d) => (a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d
- zipWith4 :: (Storable a, Storable b, Storable c, Storable d, Storable e) => (a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
- zipWith5 :: (Storable a, Storable b, Storable c, Storable d, Storable e, Storable f) => (a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f
- zipWith6 :: (Storable a, Storable b, Storable c, Storable d, Storable e, Storable f, Storable g) => (a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g
- izipWith :: (Storable a, Storable b, Storable c) => (Int -> a -> b -> c) -> Vector a -> Vector b -> Vector c
- izipWith3 :: (Storable a, Storable b, Storable c, Storable d) => (Int -> a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d
- izipWith4 :: (Storable a, Storable b, Storable c, Storable d, Storable e) => (Int -> a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e
- izipWith5 :: (Storable a, Storable b, Storable c, Storable d, Storable e, Storable f) => (Int -> a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f
- izipWith6 :: (Storable a, Storable b, Storable c, Storable d, Storable e, Storable f, Storable 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, Storable a, Storable b, Storable c) => (a -> b -> m c) -> Vector a -> Vector b -> m (Vector c)
- izipWithM :: (Monad m, Storable a, Storable b, Storable c) => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m (Vector c)
- zipWithM_ :: (Monad m, Storable a, Storable b) => (a -> b -> m c) -> Vector a -> Vector b -> m ()
- izipWithM_ :: (Monad m, Storable a, Storable b) => (Int -> a -> b -> m c) -> Vector a -> Vector b -> m ()
- filter :: Storable a => (a -> Bool) -> Vector a -> Vector a
- ifilter :: Storable a => (Int -> a -> Bool) -> Vector a -> Vector a
- filterM :: (Monad m, Storable a) => (a -> m Bool) -> Vector a -> m (Vector a)
- uniq :: (Storable a, Eq a) => Vector a -> Vector a
- mapMaybe :: (Storable a, Storable b) => (a -> Maybe b) -> Vector a -> Vector b
- imapMaybe :: (Storable a, Storable b) => (Int -> a -> Maybe b) -> Vector a -> Vector b
- mapMaybeM :: (Monad m, Storable a, Storable b) => (a -> m (Maybe b)) -> Vector a -> m (Vector b)
- imapMaybeM :: (Monad m, Storable a, Storable b) => (Int -> a -> m (Maybe b)) -> Vector a -> m (Vector b)
- takeWhile :: Storable a => (a -> Bool) -> Vector a -> Vector a
- dropWhile :: Storable a => (a -> Bool) -> Vector a -> Vector a
- partition :: Storable a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- unstablePartition :: Storable a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- partitionWith :: (Storable a, Storable b, Storable c) => (a -> Either b c) -> Vector a -> (Vector b, Vector c)
- span :: Storable a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- break :: Storable a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- groupBy :: Storable a => (a -> a -> Bool) -> Vector a -> [Vector a]
- group :: (Storable a, Eq a) => Vector a -> [Vector a]
- elem :: (Storable a, Eq a) => a -> Vector a -> Bool
- notElem :: (Storable a, Eq a) => a -> Vector a -> Bool
- find :: Storable a => (a -> Bool) -> Vector a -> Maybe a
- findIndex :: Storable a => (a -> Bool) -> Vector a -> Maybe Int
- findIndices :: Storable a => (a -> Bool) -> Vector a -> Vector Int
- elemIndex :: (Storable a, Eq a) => a -> Vector a -> Maybe Int
- elemIndices :: (Storable a, Eq a) => a -> Vector a -> Vector Int
- foldl :: Storable b => (a -> b -> a) -> a -> Vector b -> a
- foldl1 :: Storable a => (a -> a -> a) -> Vector a -> a
- foldl' :: Storable b => (a -> b -> a) -> a -> Vector b -> a
- foldl1' :: Storable a => (a -> a -> a) -> Vector a -> a
- foldr :: Storable a => (a -> b -> b) -> b -> Vector a -> b
- foldr1 :: Storable a => (a -> a -> a) -> Vector a -> a
- foldr' :: Storable a => (a -> b -> b) -> b -> Vector a -> b
- foldr1' :: Storable a => (a -> a -> a) -> Vector a -> a
- ifoldl :: Storable b => (a -> Int -> b -> a) -> a -> Vector b -> a
- ifoldl' :: Storable b => (a -> Int -> b -> a) -> a -> Vector b -> a
- ifoldr :: Storable a => (Int -> a -> b -> b) -> b -> Vector a -> b
- ifoldr' :: Storable a => (Int -> a -> b -> b) -> b -> Vector a -> b
- foldMap :: (Monoid m, Storable a) => (a -> m) -> Vector a -> m
- foldMap' :: (Monoid m, Storable a) => (a -> m) -> Vector a -> m
- all :: Storable a => (a -> Bool) -> Vector a -> Bool
- any :: Storable a => (a -> Bool) -> Vector a -> Bool
- and :: Vector Bool -> Bool
- or :: Vector Bool -> Bool
- sum :: (Storable a, Num a) => Vector a -> a
- product :: (Storable a, Num a) => Vector a -> a
- maximum :: (Storable a, Ord a) => Vector a -> a
- maximumBy :: Storable a => (a -> a -> Ordering) -> Vector a -> a
- maximumOn :: (Ord b, Storable a) => (a -> b) -> Vector a -> a
- minimum :: (Storable a, Ord a) => Vector a -> a
- minimumBy :: Storable a => (a -> a -> Ordering) -> Vector a -> a
- minimumOn :: (Ord b, Storable a) => (a -> b) -> Vector a -> a
- minIndex :: (Storable a, Ord a) => Vector a -> Int
- minIndexBy :: Storable a => (a -> a -> Ordering) -> Vector a -> Int
- maxIndex :: (Storable a, Ord a) => Vector a -> Int
- maxIndexBy :: Storable a => (a -> a -> Ordering) -> Vector a -> Int
- foldM :: (Monad m, Storable b) => (a -> b -> m a) -> a -> Vector b -> m a
- ifoldM :: (Monad m, Storable b) => (a -> Int -> b -> m a) -> a -> Vector b -> m a
- foldM' :: (Monad m, Storable b) => (a -> b -> m a) -> a -> Vector b -> m a
- ifoldM' :: (Monad m, Storable b) => (a -> Int -> b -> m a) -> a -> Vector b -> m a
- fold1M :: (Monad m, Storable a) => (a -> a -> m a) -> Vector a -> m a
- fold1M' :: (Monad m, Storable a) => (a -> a -> m a) -> Vector a -> m a
- foldM_ :: (Monad m, Storable b) => (a -> b -> m a) -> a -> Vector b -> m ()
- ifoldM_ :: (Monad m, Storable b) => (a -> Int -> b -> m a) -> a -> Vector b -> m ()
- foldM'_ :: (Monad m, Storable b) => (a -> b -> m a) -> a -> Vector b -> m ()
- ifoldM'_ :: (Monad m, Storable b) => (a -> Int -> b -> m a) -> a -> Vector b -> m ()
- fold1M_ :: (Monad m, Storable a) => (a -> a -> m a) -> Vector a -> m ()
- fold1M'_ :: (Monad m, Storable a) => (a -> a -> m a) -> Vector a -> m ()
- prescanl :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a
- prescanl' :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a
- postscanl :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a
- postscanl' :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a
- scanl :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a
- scanl' :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a
- scanl1 :: Storable a => (a -> a -> a) -> Vector a -> Vector a
- scanl1' :: Storable a => (a -> a -> a) -> Vector a -> Vector a
- iscanl :: (Storable a, Storable b) => (Int -> a -> b -> a) -> a -> Vector b -> Vector a
- iscanl' :: (Storable a, Storable b) => (Int -> a -> b -> a) -> a -> Vector b -> Vector a
- prescanr :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b
- prescanr' :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b
- postscanr :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b
- postscanr' :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b
- scanr :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b
- scanr' :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b
- scanr1 :: Storable a => (a -> a -> a) -> Vector a -> Vector a
- scanr1' :: Storable a => (a -> a -> a) -> Vector a -> Vector a
- iscanr :: (Storable a, Storable b) => (Int -> a -> b -> b) -> b -> Vector a -> Vector b
- iscanr' :: (Storable a, Storable b) => (Int -> a -> b -> b) -> b -> Vector a -> Vector b
- eqBy :: (Storable a, Storable b) => (a -> b -> Bool) -> Vector a -> Vector b -> Bool
- cmpBy :: (Storable a, Storable b) => (a -> b -> Ordering) -> Vector a -> Vector b -> Ordering
- isSameVector :: Storable a => Vector a -> Vector a -> Bool
- toList :: Storable a => Vector a -> [a]
- fromList :: Storable a => [a] -> Vector a
- fromListN :: Storable a => Int -> [a] -> Vector a
- convert :: (Vector v a, Vector w a) => v a -> w a
- unsafeCast :: forall a b. (Storable a, Storable b) => Vector a -> Vector b
- unsafeCoerceVector :: Coercible a b => Vector a -> Vector b
- freeze :: (Storable a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a)
- thaw :: (Storable a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a)
- copy :: (Storable a, PrimMonad m) => MVector (PrimState m) a -> Vector a -> m ()
- unsafeFreeze :: (Storable a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a)
- unsafeThaw :: (Storable a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a)
- unsafeCopy :: (Storable a, PrimMonad m) => MVector (PrimState m) a -> Vector a -> m ()
- unsafeFromForeignPtr :: Storable a => ForeignPtr a -> Int -> Int -> Vector a
- unsafeFromForeignPtr0 :: ForeignPtr a -> Int -> Vector a
- unsafeToForeignPtr :: Vector a -> (ForeignPtr a, Int, Int)
- unsafeToForeignPtr0 :: Vector a -> (ForeignPtr a, Int)
- unsafeWith :: Storable a => Vector a -> (Ptr a -> IO b) -> IO b
- class Storable a
Storable vectors
Storable
-based vectors.
Instances
NFData1 Vector Source # | Since: 0.12.1.0 |
Defined in Data.Vector.Storable | |
Storable a => Vector Vector a Source # | |
Defined in Data.Vector.Storable basicUnsafeFreeze :: Mutable Vector s a -> ST s (Vector a) Source # basicUnsafeThaw :: Vector a -> ST s (Mutable Vector s a) Source # basicLength :: Vector a -> Int Source # basicUnsafeSlice :: Int -> Int -> Vector a -> Vector a Source # basicUnsafeIndexM :: Vector a -> Int -> Box a Source # basicUnsafeCopy :: Mutable Vector s a -> Vector a -> ST s () Source # | |
Storable a => IsList (Vector a) Source # | |
(Storable a, Eq a) => Eq (Vector a) Source # | |
(Data a, Storable a) => Data (Vector a) Source # | |
Defined in Data.Vector.Storable gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Vector a -> c (Vector a) # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Vector a) # toConstr :: Vector a -> Constr # dataTypeOf :: Vector a -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (Vector a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Vector a)) # gmapT :: (forall b. Data b => b -> b) -> Vector a -> Vector a # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Vector a -> r # gmapQ :: (forall d. Data d => d -> u) -> Vector a -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Vector a -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Vector a -> m (Vector a) # | |
(Storable a, Ord a) => Ord (Vector a) Source # | |
Defined in Data.Vector.Storable | |
(Read a, Storable a) => Read (Vector a) Source # | |
(Show a, Storable a) => Show (Vector a) Source # | |
Storable a => Semigroup (Vector a) Source # | |
Storable a => Monoid (Vector a) Source # | |
NFData (Vector a) Source # | |
Defined in Data.Vector.Storable | |
type Mutable Vector Source # | |
Defined in Data.Vector.Storable | |
type Item (Vector a) Source # | |
Defined in Data.Vector.Storable |
Mutable Storable
-based vectors.
MVector !Int !(ForeignPtr a) |
Instances
Storable a => MVector MVector a Source # | |
Defined in Data.Vector.Storable.Mutable basicLength :: MVector s a -> Int Source # basicUnsafeSlice :: Int -> Int -> MVector s a -> MVector s a Source # basicOverlaps :: MVector s a -> MVector s a -> Bool Source # basicUnsafeNew :: Int -> ST s (MVector s a) Source # basicInitialize :: MVector s a -> ST s () Source # basicUnsafeReplicate :: Int -> a -> ST s (MVector s a) Source # basicUnsafeRead :: MVector s a -> Int -> ST s a Source # basicUnsafeWrite :: MVector s a -> Int -> a -> ST s () Source # basicClear :: MVector s a -> ST s () Source # basicSet :: MVector s a -> a -> ST s () Source # basicUnsafeCopy :: MVector s a -> MVector s a -> ST s () Source # basicUnsafeMove :: MVector s a -> MVector s a -> ST s () Source # basicUnsafeGrow :: MVector s a -> Int -> ST s (MVector s a) Source # | |
NFData1 (MVector s) Source # | |
Defined in Data.Vector.Storable.Mutable | |
NFData (MVector s a) Source # | |
Defined in Data.Vector.Storable.Mutable |
Accessors
Length information
Indexing
unsafeIndex :: Storable a => Vector a -> Int -> a Source #
O(1) Unsafe indexing without bounds checking.
unsafeHead :: Storable a => Vector a -> a Source #
O(1) First element, without checking if the vector is empty.
unsafeLast :: Storable a => Vector a -> a Source #
O(1) Last element, without checking if the vector is empty.
Monadic indexing
indexM :: (Storable 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 x
Here, no references to v
are retained because indexing (but not the
element) is evaluated eagerly.
headM :: (Storable 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 :: (Storable 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 :: (Storable 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 :: (Storable 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 :: (Storable 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 :: Storable a => Vector a -> Vector a Source #
O(1) Yield all but the last element without copying. The vector may not be empty.
tail :: Storable a => Vector a -> Vector a Source #
O(1) Yield all but the first element without copying. The vector may not be empty.
take :: Storable 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 :: Storable 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 :: Storable 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 :: Storable 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 :: Storable 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 :: Storable 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 :: Storable a => Int -> a -> Vector a Source #
O(n) A vector of the given length with the same value in each position.
generate :: Storable a => Int -> (Int -> a) -> Vector a Source #
O(n) Construct a vector of the given length by applying the function to each index.
iterateN :: Storable a => Int -> (a -> a) -> a -> Vector a Source #
O(n) Apply the function \(\max(n - 1, 0)\) times to an initial value, producing a vector of length \(\max(n, 0)\). The 0th element will contain the initial value, which is why there is one less function application than the number of elements in the produced vector.
\( \underbrace{x, f (x), f (f (x)), \ldots}_{\max(0,n)\rm{~elements}} \)
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.iterateN 0 undefined undefined :: VS.Vector Int
[]>>>
VS.iterateN 26 succ 'a'
"abcdefghijklmnopqrstuvwxyz"
Since: 0.7.1
Monadic initialisation
replicateM :: (Monad m, Storable 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, Storable 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, Storable a) => Int -> (a -> m a) -> a -> m (Vector a) Source #
O(n) Apply the monadic function \(\max(n - 1, 0)\) times to an initial value, producing a vector of length \(\max(n, 0)\). The 0th element will contain the initial value, which is why there is one less function application than the number of elements in the produced vector.
For a non-monadic version, see iterateN
.
Since: 0.12.0.0
create :: Storable 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, Storable a) => (forall s. ST s (f (MVector s a))) -> f (Vector a) Source #
Execute the monadic action and freeze the resulting vectors.
Unfolding
unfoldrExactN :: Storable a => Int -> (b -> (a, b)) -> b -> Vector a Source #
O(n) Construct a vector with exactly n
elements by repeatedly applying
the generator function to a seed. The generator function yields the
next element and the new seed.
unfoldrExactN 3 (\n -> (n,n-1)) 10 = <10,9,8>
Since: 0.12.2.0
unfoldrExactNM :: (Monad m, Storable a) => Int -> (b -> m (a, b)) -> b -> m (Vector a) Source #
O(n) Construct a vector with exactly n
elements by repeatedly
applying the monadic generator function to a seed. The generator
function yields the next element and the new seed.
Since: 0.12.2.0
constructN :: Storable 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 <a,b,c>
constructrN :: Storable 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 <c,b,a>
Enumeration
enumFromN :: (Storable 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 :: (Storable 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 2 5 = <1,3,5,7,9>
enumFromTo :: (Storable a, Enum a) => a -> a -> Vector a Source #
O(n) Enumerate values from x
to y
.
WARNING: This operation can be very inefficient. If possible, use
enumFromN
instead.
enumFromThenTo :: (Storable 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 possible, use
enumFromStepN
instead.
Concatenation
(++) :: Storable a => Vector a -> Vector a -> Vector a infixr 5 Source #
O(m+n) Concatenate two vectors.
Restricting memory usage
force :: Storable 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
:: Storable 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 of index/value pairs,
replace the vector element at position i
by a
.
<5,9,2,7> // [(2,1),(0,3),(2,8)] = <3,9,8,7>
:: Storable 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 :: Storable a => Vector a -> [(Int, a)] -> Vector a Source #
Same as (//
), but without bounds checking.
unsafeUpdate_ :: Storable a => Vector a -> Vector Int -> Vector a -> Vector a Source #
Same as update_
, but without bounds checking.
Accumulations
:: Storable 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
.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.accum (+) (VS.fromList [1000,2000,3000 :: Int]) [(2,4),(1,6),(0,3),(1,10)]
[1003,2016,3004]
:: (Storable a, Storable 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 :: Storable a => (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a Source #
Same as accum
, but without bounds checking.
unsafeAccumulate_ :: (Storable a, Storable b) => (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a Source #
Same as accumulate_
, but without bounds checking.
Permutations
unsafeBackpermute :: Storable a => Vector a -> Vector Int -> Vector a Source #
Same as backpermute
, but without bounds checking.
Safe destructive updates
modify :: Storable 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
Mapping
map :: (Storable a, Storable b) => (a -> b) -> Vector a -> Vector b Source #
O(n) Map a function over a vector.
imap :: (Storable a, Storable b) => (Int -> a -> b) -> Vector a -> Vector b Source #
O(n) Apply a function to every element of a vector and its index.
concatMap :: (Storable a, Storable b) => (a -> Vector b) -> Vector a -> Vector b Source #
Map a function over a vector and concatenate the results.
Monadic mapping
mapM :: (Monad m, Storable a, Storable 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, Storable a, Storable 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.
Since: 0.12.2.0
mapM_ :: (Monad m, Storable 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, Storable 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.
Since: 0.12.2.0
forM :: (Monad m, Storable a, Storable 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, Storable 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_
iforM :: (Monad m, Storable a, Storable b) => Vector a -> (Int -> a -> m b) -> m (Vector b) Source #
Zipping
zipWith :: (Storable a, Storable b, Storable c) => (a -> b -> c) -> Vector a -> Vector b -> Vector c Source #
O(min(m,n)) Zip two vectors with the given function.
zipWith3 :: (Storable a, Storable b, Storable c, Storable d) => (a -> b -> c -> d) -> Vector a -> Vector b -> Vector c -> Vector d Source #
Zip three vectors with the given function.
zipWith4 :: (Storable a, Storable b, Storable c, Storable d, Storable e) => (a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e Source #
zipWith5 :: (Storable a, Storable b, Storable c, Storable d, Storable e, Storable f) => (a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f Source #
zipWith6 :: (Storable a, Storable b, Storable c, Storable d, Storable e, Storable f, Storable g) => (a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g Source #
izipWith :: (Storable a, Storable b, Storable 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 :: (Storable a, Storable b, Storable c, Storable 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 :: (Storable a, Storable b, Storable c, Storable d, Storable e) => (Int -> a -> b -> c -> d -> e) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e Source #
izipWith5 :: (Storable a, Storable b, Storable c, Storable d, Storable e, Storable f) => (Int -> a -> b -> c -> d -> e -> f) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f Source #
izipWith6 :: (Storable a, Storable b, Storable c, Storable d, Storable e, Storable f, Storable g) => (Int -> a -> b -> c -> d -> e -> f -> g) -> Vector a -> Vector b -> Vector c -> Vector d -> Vector e -> Vector f -> Vector g Source #
Monadic zipping
zipWithM :: (Monad m, Storable a, Storable b, Storable 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, Storable a, Storable b, Storable 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.
Since: 0.12.2.0
zipWithM_ :: (Monad m, Storable a, Storable 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, Storable a, Storable 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.
Since: 0.12.2.0
Working with predicates
Filtering
filter :: Storable a => (a -> Bool) -> Vector a -> Vector a Source #
O(n) Drop all elements that do not satisfy the predicate.
ifilter :: Storable a => (Int -> a -> Bool) -> Vector a -> Vector a Source #
O(n) Drop all elements that do not satisfy the predicate which is applied to the values and their indices.
filterM :: (Monad m, Storable a) => (a -> m Bool) -> Vector a -> m (Vector a) Source #
O(n) Drop all elements that do not satisfy the monadic predicate.
uniq :: (Storable a, Eq a) => Vector a -> Vector a Source #
O(n) Drop repeated adjacent elements. The first element in each group is returned.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.uniq $ VS.fromList [1,3,3,200,3 :: Int]
[1,3,200,3]
mapMaybe :: (Storable a, Storable b) => (a -> Maybe b) -> Vector a -> Vector b Source #
O(n) Map the values and collect the Just
results.
imapMaybe :: (Storable a, Storable b) => (Int -> a -> Maybe b) -> Vector a -> Vector b Source #
O(n) Map the indices/values and collect the Just
results.
mapMaybeM :: (Monad m, Storable a, Storable b) => (a -> m (Maybe b)) -> Vector a -> m (Vector b) Source #
O(n) Apply the monadic function to each element of the vector and
discard elements returning Nothing
.
Since: 0.12.2.0
imapMaybeM :: (Monad m, Storable a, Storable b) => (Int -> a -> m (Maybe b)) -> Vector a -> m (Vector b) Source #
O(n) Apply the monadic function to each element of the vector and its index.
Discard elements returning Nothing
.
Since: 0.12.2.0
takeWhile :: Storable a => (a -> Bool) -> Vector a -> Vector a Source #
O(n) Yield the longest prefix of elements satisfying the predicate. The current implementation is not copy-free, unless the result vector is fused away.
dropWhile :: Storable a => (a -> Bool) -> Vector a -> Vector a Source #
O(n) Drop the longest prefix of elements that satisfy the predicate without copying.
Partitioning
partition :: Storable 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 :: Storable 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
.
partitionWith :: (Storable a, Storable b, Storable c) => (a -> Either b c) -> Vector a -> (Vector b, Vector c) Source #
span :: Storable 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 :: Storable 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.
groupBy :: Storable a => (a -> a -> Bool) -> Vector a -> [Vector a] Source #
O(n) Split a vector into a list of slices, using a predicate function.
The concatenation of this list of slices is equal to the argument vector, and each slice contains only equal elements, as determined by the equality predicate function.
Does not fuse.
>>>
import qualified Data.Vector.Storable as VS
>>>
import Data.Char (isUpper)
>>>
VS.groupBy (\a b -> isUpper a == isUpper b) (VS.fromList "Mississippi River")
["M","ississippi ","R","iver"]
Since: 0.13.0.1
group :: (Storable a, Eq a) => Vector a -> [Vector a] Source #
O(n) Split a vector into a list of slices of the input vector.
The concatenation of this list of slices is equal to the argument vector, and each slice contains only equal elements.
Does not fuse.
This is the equivalent of 'groupBy (==)'.
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.group (VS.fromList "Mississippi")
["M","i","ss","i","ss","i","pp","i"]
See also group
.
Since: 0.13.0.1
Searching
elem :: (Storable a, Eq a) => a -> Vector a -> Bool infix 4 Source #
O(n) Check if the vector contains an element.
notElem :: (Storable 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 :: Storable a => (a -> Bool) -> Vector a -> Vector Int Source #
O(n) Yield the indices of elements satisfying the predicate in ascending order.
elemIndices :: (Storable a, Eq a) => a -> Vector a -> Vector Int Source #
O(n) Yield the indices of all occurrences of the given element in
ascending order. This is a specialised version of findIndices
.
Folding
foldl' :: Storable b => (a -> b -> a) -> a -> Vector b -> a Source #
O(n) Left fold with strict accumulator.
foldl1' :: Storable a => (a -> a -> a) -> Vector a -> a Source #
O(n) Left fold on non-empty vectors with strict accumulator.
foldr1 :: Storable a => (a -> a -> a) -> Vector a -> a Source #
O(n) Right fold on non-empty vectors.
foldr' :: Storable a => (a -> b -> b) -> b -> Vector a -> b Source #
O(n) Right fold with a strict accumulator.
foldr1' :: Storable a => (a -> a -> a) -> Vector a -> a Source #
O(n) Right fold on non-empty vectors with strict accumulator.
ifoldl :: Storable b => (a -> Int -> b -> a) -> a -> Vector b -> a Source #
O(n) Left fold using a function applied to each element and its index.
ifoldl' :: Storable b => (a -> Int -> b -> a) -> a -> Vector b -> a Source #
O(n) Left fold with strict accumulator using a function applied to each element and its index.
ifoldr :: Storable a => (Int -> a -> b -> b) -> b -> Vector a -> b Source #
O(n) Right fold using a function applied to each element and its index.
ifoldr' :: Storable a => (Int -> a -> b -> b) -> b -> Vector a -> b Source #
O(n) Right fold with strict accumulator using a function applied to each element and its index.
foldMap :: (Monoid m, Storable a) => (a -> m) -> Vector a -> m Source #
O(n) Map each element of the structure to a monoid and combine
the results. It uses the same implementation as the corresponding method
of the Foldable
type class. Note that it's implemented in terms of foldr
and won't fuse with functions that traverse the vector from left to
right (map
, generate
, etc.).
Since: 0.12.2.0
Specialised folds
all :: Storable a => (a -> Bool) -> Vector a -> Bool Source #
O(n) Check if all elements satisfy the predicate.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.all even $ VS.fromList [2, 4, 12 :: Int]
True>>>
VS.all even $ VS.fromList [2, 4, 13 :: Int]
False>>>
VS.all even (VS.empty :: VS.Vector Int)
True
any :: Storable a => (a -> Bool) -> Vector a -> Bool Source #
O(n) Check if any element satisfies the predicate.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.any even $ VS.fromList [1, 3, 7 :: Int]
False>>>
VS.any even $ VS.fromList [3, 2, 13 :: Int]
True>>>
VS.any even (VS.empty :: VS.Vector Int)
False
and :: Vector Bool -> Bool Source #
O(n) Check if all elements are True
.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.and $ VS.fromList [True, False]
False>>>
VS.and VS.empty
True
or :: Vector Bool -> Bool Source #
O(n) Check if any element is True
.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.or $ VS.fromList [True, False]
True>>>
VS.or VS.empty
False
sum :: (Storable a, Num a) => Vector a -> a Source #
O(n) Compute the sum of the elements.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.sum $ VS.fromList [300,20,1 :: Int]
321>>>
VS.sum (VS.empty :: VS.Vector Int)
0
product :: (Storable a, Num a) => Vector a -> a Source #
O(n) Compute the product of the elements.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.product $ VS.fromList [1,2,3,4 :: Int]
24>>>
VS.product (VS.empty :: VS.Vector Int)
1
maximum :: (Storable a, Ord a) => Vector a -> a Source #
O(n) Yield the maximum element of the vector. The vector may not be empty. In case of a tie, the first occurrence wins.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.maximum $ VS.fromList [2, 1 :: Int]
2
maximumBy :: Storable 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. In case of
a tie, the first occurrence wins. This behavior is different from
maximumBy
which returns the last tie.
maximumOn :: (Ord b, Storable a) => (a -> b) -> Vector a -> a Source #
O(n) Yield the maximum element of the vector by comparing the results of a key function on each element. In case of a tie, the first occurrence wins. The vector may not be empty.
Since: 0.13.0.0
minimum :: (Storable a, Ord a) => Vector a -> a Source #
O(n) Yield the minimum element of the vector. The vector may not be empty. In case of a tie, the first occurrence wins.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.minimum $ VS.fromList [2, 1 :: Int]
1
minimumBy :: Storable 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. In case of a tie, the first occurrence wins.
minimumOn :: (Ord b, Storable a) => (a -> b) -> Vector a -> a Source #
O(n) Yield the minimum element of the vector by comparing the results of a key function on each element. In case of a tie, the first occurrence wins. The vector may not be empty.
Since: 0.13.0.0
minIndex :: (Storable 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 :: Storable 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 :: (Storable 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 :: Storable 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. In case of a tie, the first occurrence wins.
Monadic folds
foldM :: (Monad m, Storable b) => (a -> b -> m a) -> a -> Vector b -> m a Source #
O(n) Monadic fold.
ifoldM :: (Monad m, Storable b) => (a -> Int -> b -> m a) -> a -> Vector b -> m a Source #
O(n) Monadic fold using a function applied to each element and its index.
Since: 0.12.2.0
foldM' :: (Monad m, Storable b) => (a -> b -> m a) -> a -> Vector b -> m a Source #
O(n) Monadic fold with strict accumulator.
ifoldM' :: (Monad m, Storable b) => (a -> Int -> b -> m a) -> a -> Vector b -> m a Source #
O(n) Monadic fold with strict accumulator using a function applied to each element and its index.
Since: 0.12.2.0
fold1M :: (Monad m, Storable a) => (a -> a -> m a) -> Vector a -> m a Source #
O(n) Monadic fold over non-empty vectors.
fold1M' :: (Monad m, Storable a) => (a -> a -> m a) -> Vector a -> m a Source #
O(n) Monadic fold over non-empty vectors with strict accumulator.
foldM_ :: (Monad m, Storable b) => (a -> b -> m a) -> a -> Vector b -> m () Source #
O(n) Monadic fold that discards the result.
ifoldM_ :: (Monad m, Storable b) => (a -> Int -> b -> m a) -> a -> Vector b -> m () Source #
O(n) Monadic fold that discards the result using a function applied to each element and its index.
Since: 0.12.2.0
foldM'_ :: (Monad m, Storable b) => (a -> b -> m a) -> a -> Vector b -> m () Source #
O(n) Monadic fold with strict accumulator that discards the result.
ifoldM'_ :: (Monad m, Storable b) => (a -> Int -> b -> m a) -> a -> Vector b -> m () Source #
O(n) Monadic fold with strict accumulator that discards the result using a function applied to each element and its index.
Since: 0.12.2.0
fold1M_ :: (Monad m, Storable a) => (a -> a -> m a) -> Vector a -> m () Source #
O(n) Monadic fold over non-empty vectors that discards the result.
fold1M'_ :: (Monad m, Storable a) => (a -> a -> m a) -> Vector a -> m () Source #
O(n) Monadic fold over non-empty vectors with strict accumulator that discards the result.
Scans
prescanl' :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Left-to-right prescan with strict accumulator.
postscanl' :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Left-to-right postscan with strict accumulator.
scanl :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Left-to-right scan.
scanl f z <x1,...,xn> = <y1,...,y(n+1)> where y1 = z yi = f y(i-1) x(i-1)
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.scanl (+) 0 (VS.fromList [1,2,3,4 :: Int])
[0,1,3,6,10]
scanl' :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Left-to-right scan with strict accumulator.
scanl1 :: Storable a => (a -> a -> a) -> Vector a -> Vector a Source #
O(n) Initial-value free left-to-right scan over a vector.
scanl f <x1,...,xn> = <y1,...,yn> where y1 = x1 yi = f y(i-1) xi
Note: Since 0.13, application of this to an empty vector no longer results in an error; instead it produces an empty vector.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.scanl1 min $ VS.fromListN 5 [4,2,4,1,3 :: Int]
[4,2,2,1,1]>>>
VS.scanl1 max $ VS.fromListN 5 [1,3,2,5,4 :: Int]
[1,3,3,5,5]>>>
VS.scanl1 min (VS.empty :: VS.Vector Int)
[]
scanl1' :: Storable a => (a -> a -> a) -> Vector a -> Vector a Source #
O(n) Initial-value free left-to-right scan over a vector with a strict accumulator.
Note: Since 0.13, application of this to an empty vector no longer results in an error; instead it produces an empty vector.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.scanl1' min $ VS.fromListN 5 [4,2,4,1,3 :: Int]
[4,2,2,1,1]>>>
VS.scanl1' max $ VS.fromListN 5 [1,3,2,5,4 :: Int]
[1,3,3,5,5]>>>
VS.scanl1' min (VS.empty :: VS.Vector Int)
[]
iscanl :: (Storable a, Storable b) => (Int -> a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Left-to-right scan over a vector with its index.
Since: 0.12.2.0
iscanl' :: (Storable a, Storable b) => (Int -> a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Left-to-right scan over a vector (strictly) with its index.
Since: 0.12.2.0
prescanr' :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left prescan with strict accumulator.
postscanr :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left postscan.
postscanr' :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left postscan with strict accumulator.
scanr :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left scan.
scanr' :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left scan with strict accumulator.
scanr1 :: Storable a => (a -> a -> a) -> Vector a -> Vector a Source #
O(n) Right-to-left, initial-value free scan over a vector.
Note: Since 0.13, application of this to an empty vector no longer results in an error; instead it produces an empty vector.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.scanr1 min $ VS.fromListN 5 [3,1,4,2,4 :: Int]
[1,1,2,2,4]>>>
VS.scanr1 max $ VS.fromListN 5 [4,5,2,3,1 :: Int]
[5,5,3,3,1]>>>
VS.scanr1 min (VS.empty :: VS.Vector Int)
[]
scanr1' :: Storable a => (a -> a -> a) -> Vector a -> Vector a Source #
O(n) Right-to-left, initial-value free scan over a vector with a strict accumulator.
Note: Since 0.13, application of this to an empty vector no longer results in an error; instead it produces an empty vector.
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.scanr1' min $ VS.fromListN 5 [3,1,4,2,4 :: Int]
[1,1,2,2,4]>>>
VS.scanr1' max $ VS.fromListN 5 [4,5,2,3,1 :: Int]
[5,5,3,3,1]>>>
VS.scanr1' min (VS.empty :: VS.Vector Int)
[]
iscanr :: (Storable a, Storable b) => (Int -> a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left scan over a vector with its index.
Since: 0.12.2.0
iscanr' :: (Storable a, Storable b) => (Int -> a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left scan over a vector (strictly) with its index.
Since: 0.12.2.0
Comparisons
eqBy :: (Storable a, Storable b) => (a -> b -> Bool) -> Vector a -> Vector b -> Bool Source #
O(n) Check if two vectors are equal using the supplied equality predicate.
Since: 0.12.2.0
cmpBy :: (Storable a, Storable b) => (a -> b -> Ordering) -> Vector a -> Vector b -> Ordering Source #
O(n) Compare two vectors using supplied the comparison function for vector elements. Comparison works the same as for lists.
cmpBy compare == compare
Since: 0.12.2.0
Utilities
Comparisons
isSameVector :: Storable a => Vector a -> Vector a -> Bool Source #
Checks whether two values are the same vector: they have same length and share the same buffer.
>>>
let xs = fromList [0/0::Double] in isSameVector xs xs
True
Conversions
Lists
fromListN :: Storable a => Int -> [a] -> Vector a Source #
O(n) Convert the first n
elements of a list to a vector. It's
expected that the supplied list will be exactly n
elements long. As
an optimization, this function allocates a buffer for n
elements, which
could be used for DoS-attacks by exhausting the memory if an attacker controls
that parameter.
fromListN n xs =fromList
(take
n xs)
Examples
>>>
import qualified Data.Vector.Storable as VS
>>>
VS.fromListN 3 [1,2,3,4,5 :: Int]
[1,2,3]>>>
VS.fromListN 3 [1 :: Int]
[1]
Other vector types
convert :: (Vector v a, Vector w a) => v a -> w a Source #
O(n) Convert between different vector types.
unsafeCast :: forall a b. (Storable a, Storable b) => Vector a -> Vector b Source #
O(1) Unsafely cast a vector from one element type to another. This operation just changes the type of the underlying pointer and does not modify the elements.
The resulting vector contains as many elements as can fit into the underlying memory block.
unsafeCoerceVector :: Coercible a b => Vector a -> Vector b Source #
O(1) Unsafely coerce a mutable vector from one element type to another, representationally equal type. The operation just changes the type of the underlying pointer and does not modify the elements.
This is marginally safer than unsafeCast
, since this function imposes an
extra Coercible
constraint. This function is still not safe, however,
since it cannot guarantee that the two types have memory-compatible
Storable
instances.
Mutable vectors
freeze :: (Storable a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a) Source #
O(n) Yield an immutable copy of the mutable vector.
thaw :: (Storable a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a) Source #
O(n) Yield a mutable copy of an immutable vector.
copy :: (Storable 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 :: (Storable a, PrimMonad m) => MVector (PrimState m) a -> m (Vector a) Source #
O(1) Unsafely convert a mutable vector to an immutable one without copying. The mutable vector may not be used after this operation.
unsafeThaw :: (Storable a, PrimMonad m) => Vector a -> m (MVector (PrimState m) a) Source #
O(1) Unsafely convert an immutable vector to a mutable one without copying. Note that this is a very dangerous function and generally it's only safe to read from the resulting vector. In this case, the immutable vector could be used safely as well.
Problems with mutation happen because GHC has a lot of freedom to
introduce sharing. As a result mutable vectors produced by
unsafeThaw
may or may not share the same underlying buffer. For
example:
foo = do let vec = V.generate 10 id mvec <- V.unsafeThaw vec do_something mvec
Here GHC could lift vec
outside of foo which means that all calls to
do_something
will use same buffer with possibly disastrous
results. Whether such aliasing happens or not depends on the program in
question, optimization levels, and GHC flags.
All in all, attempts to modify a vector produced by unsafeThaw
fall out of
domain of software engineering and into realm of black magic, dark
rituals, and unspeakable horrors. The only advice that could be given
is: "Don't attempt to mutate a vector produced by unsafeThaw
unless you
know how to prevent GHC from aliasing buffers accidentally. We don't."
unsafeCopy :: (Storable 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.
Raw pointers
:: Storable a | |
=> ForeignPtr a | pointer |
-> Int | offset |
-> Int | length |
-> Vector a |
O(1) Create a vector from a ForeignPtr
with an offset and a length.
The data may not be modified through the pointer afterwards.
If your offset is 0 it is more efficient to use unsafeFromForeignPtr0
.
unsafeFromForeignPtr0 Source #
:: ForeignPtr a | pointer |
-> Int | length |
-> Vector a |
O(1) Create a vector from a ForeignPtr
and a length.
It is assumed the pointer points directly to the data (no offset).
Use unsafeFromForeignPtr
if you need to specify an offset.
The data may not be modified through the pointer afterwards.
unsafeToForeignPtr :: Vector a -> (ForeignPtr a, Int, Int) Source #
O(1) Yield the underlying ForeignPtr
together with the offset to the
data and its length. The data may not be modified through the ForeignPtr
.
unsafeToForeignPtr0 :: Vector a -> (ForeignPtr a, Int) Source #
O(1) Yield the underlying ForeignPtr
together with its length.
You can assume that the pointer points directly to the data (no offset).
The data may not be modified through the ForeignPtr
.
unsafeWith :: Storable a => Vector a -> (Ptr a -> IO b) -> IO b Source #
Pass a pointer to the vector's data to the IO action. The data may not be modified through the 'Ptr.
Re-exports
The member functions of this class facilitate writing values of primitive types to raw memory (which may have been allocated with the above mentioned routines) and reading values from blocks of raw memory. The class, furthermore, includes support for computing the storage requirements and alignment restrictions of storable types.
Memory addresses are represented as values of type
, for some
Ptr
aa
which is an instance of class Storable
. The type argument to
Ptr
helps provide some valuable type safety in FFI code (you can't
mix pointers of different types without an explicit cast), while
helping the Haskell type system figure out which marshalling method is
needed for a given pointer.
All marshalling between Haskell and a foreign language ultimately
boils down to translating Haskell data structures into the binary
representation of a corresponding data structure of the foreign
language and vice versa. To code this marshalling in Haskell, it is
necessary to manipulate primitive data types stored in unstructured
memory blocks. The class Storable
facilitates this manipulation on
all types for which it is instantiated, which are the standard basic
types of Haskell, the fixed size Int
types (Int8
, Int16
,
Int32
, Int64
), the fixed size Word
types (Word8
, Word16
,
Word32
, Word64
), StablePtr
, all types from Foreign.C.Types,
as well as Ptr
.
sizeOf, alignment, (peek | peekElemOff | peekByteOff), (poke | pokeElemOff | pokeByteOff)