| 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.Storable
Contents
Description
Storable-based vectors.
- data Vector a
- data MVector s a = MVector !Int !(ForeignPtr a)
- class Storable 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)
- 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
- 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)
- 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)
- mapM_ :: (Monad m, Storable a) => (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 ()
- 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)
- zipWithM_ :: (Monad m, Storable a, Storable b) => (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
- 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
- filterM :: (Monad m, Storable a) => (a -> m Bool) -> Vector a -> m (Vector a)
- 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)
- span :: Storable a => (a -> Bool) -> Vector a -> (Vector a, Vector a)
- break :: Storable a => (a -> Bool) -> Vector 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
- 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
- minimum :: (Storable a, Ord a) => Vector a -> a
- minimumBy :: Storable a => (a -> a -> Ordering) -> 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
- foldM' :: (Monad m, Storable b) => (a -> 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 ()
- foldM'_ :: (Monad m, Storable b) => (a -> 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
- 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
- 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
- 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 :: Storable a => ForeignPtr a -> Int -> Vector a
- unsafeToForeignPtr :: Storable a => Vector a -> (ForeignPtr a, Int, Int)
- unsafeToForeignPtr0 :: Storable a => Vector a -> (ForeignPtr a, Int)
- unsafeWith :: Storable a => Vector a -> (Ptr a -> IO b) -> IO b
Storable vectors
Storable-based vectors
Instances
| Storable a => Vector Vector a Source # | |
| Storable a => IsList (Vector a) Source # | |
| (Storable a, Eq a) => Eq (Vector a) Source # | |
| (Data a, Storable a) => Data (Vector a) Source # | |
| (Storable a, Ord a) => Ord (Vector a) Source # | |
| (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 # | |
| type Mutable Vector Source # | |
| type Item (Vector a) Source # | |
Mutable Storable-based vectors
Constructors
| MVector !Int !(ForeignPtr a) |
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 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.
Minimal complete definition
sizeOf, alignment, (peek | peekElemOff | peekByteOff), (poke | pokeElemOff | pokeByteOff)
Instances
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 xHere, no references to v are retained because indexing (but not the
elements) 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) 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 function n times to value. Zeroth element is original value.
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 monadic function n times to value. Zeroth element is original value.
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
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 f <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 f <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 0.1 5 = <1,1.1,1.2,1.3,1.4>
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 at all 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 at all 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
Arguments
| :: 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, replace the vector
element at position i by a.
<5,9,2,7> // [(2,1),(0,3),(2,8)] = <3,9,8,7>
Arguments
| :: 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
Arguments
| :: 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.
accum (+) <5,9,2> [(2,4),(1,6),(0,3),(1,7)] = <5+3, 9+6+7, 2+4>
Arguments
| :: (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
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
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_
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
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
Working with predicates
Filtering
filter :: Storable a => (a -> Bool) -> Vector a -> Vector a Source #
O(n) Drop elements that do not satisfy the predicate
ifilter :: Storable 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 :: (Storable a, Storable b) => (a -> Maybe b) -> Vector a -> Vector b Source #
O(n) Drop elements when predicate returns Nothing
imapMaybe :: (Storable a, Storable 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, Storable a) => (a -> m Bool) -> Vector a -> m (Vector a) Source #
O(n) Drop elements that do not satisfy the monadic predicate
takeWhile :: Storable a => (a -> Bool) -> Vector a -> Vector a Source #
O(n) Yield the longest prefix of elements satisfying the predicate without copying.
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.
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.
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 occurences 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
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 (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 (function applied to each element and its index)
ifoldr :: Storable a => (Int -> a -> b -> b) -> b -> Vector a -> b Source #
O(n) Right fold (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 (function applied to each element and its index)
Specialised folds
all :: Storable a => (a -> Bool) -> Vector a -> Bool Source #
O(n) Check if all elements satisfy the predicate.
any :: Storable a => (a -> Bool) -> Vector a -> Bool Source #
O(n) Check if any element satisfies the predicate.
maximum :: (Storable a, Ord a) => Vector a -> a Source #
O(n) Yield the maximum element of the vector. The vector may not be empty.
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.
minimum :: (Storable a, Ord a) => Vector a -> a Source #
O(n) Yield the minimum element of the vector. The vector may not be empty.
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.
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.
Monadic folds
foldM' :: (Monad m, Storable b) => (a -> b -> m a) -> a -> Vector b -> m a Source #
O(n) Monadic fold with strict accumulator
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
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
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
Prefix sums (scans)
prescanl' :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Prescan with strict accumulator
postscanl' :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Scan with strict accumulator
scanl :: (Storable a, Storable 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' :: (Storable a, Storable b) => (a -> b -> a) -> a -> Vector b -> Vector a Source #
O(n) Haskell-style scan with strict accumulator
scanl1 :: Storable 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' :: Storable a => (a -> a -> a) -> Vector a -> Vector a Source #
O(n) Scan over a non-empty vector with a strict accumulator
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 scan
postscanr' :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left scan with strict accumulator
scanr :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left Haskell-style scan
scanr' :: (Storable a, Storable b) => (a -> b -> b) -> b -> Vector a -> Vector b Source #
O(n) Right-to-left Haskell-style scan with strict accumulator
scanr1 :: Storable a => (a -> a -> a) -> Vector a -> Vector a Source #
O(n) Right-to-left scan over a non-empty vector
scanr1' :: Storable 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
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. The 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.
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 the 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) Unsafe 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. The immutable vector may not be used after this operation.
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
Arguments
| :: 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 ForeignPtr afterwards.
If your offset is 0 it is more efficient to use unsafeFromForeignPtr0.
unsafeFromForeignPtr0 Source #
Arguments
| :: Storable a | |
| => 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 ForeignPtr afterwards.
unsafeToForeignPtr :: Storable a => 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 :: Storable a => Vector a -> (ForeignPtr a, Int) Source #
O(1) Yield the underlying ForeignPtr together with its length.
You can assume the pointer points directly to the data (no offset).
The data may not be modified through the ForeignPtr.