RIO.Vector.Unboxed.Partial

Unboxed Vector partial functions. Import as:

import qualified RIO.Vector.Unboxed.Partial as VU'

Accessors

Indexing

(!) :: Unbox a => Vector a -> Int -> a

O(1) Indexing

head :: Unbox a => Vector a -> a

O(1) First element

last :: Unbox a => Vector a -> a

O(1) Last element

Monadic indexing

indexM :: (Unbox a, Monad m) => Vector a -> Int -> m a

O(1) Indexing in a monad.

The monad allows operations to be strict in the vector when necessary. Suppose vector copying is implemented like this:

copy mv v = ... write mv i (v ! i) ...

For lazy vectors, v ! i would not be evaluated which means that mv would unnecessarily retain a reference to v in each element written.

With indexM, copying can be implemented like this instead:

copy mv v = ... do
                  x <- indexM v i
                  write mv i x

Here, no references to v are retained because indexing (but not the elements) is evaluated eagerly.

headM :: (Unbox a, Monad m) => Vector a -> m a

O(1) First element of a vector in a monad. See indexM for an explanation of why this is useful.

lastM :: (Unbox a, Monad m) => Vector a -> m a

O(1) Last element of a vector in a monad. See indexM for an explanation of why this is useful.

Extracting subvectors

init :: Unbox a => Vector a -> Vector a

O(1) Yield all but the last element without copying. The vector may not be empty.

tail :: Unbox a => Vector a -> Vector a

O(1) Yield all but the first element without copying. The vector may not be empty.

Modifying vectors

Bulk updates

(//)

Arguments

:: Unbox a

=> Vector a

initial vector (of length m)

-> [(Int, a)]

list of index/value pairs (of length n)

-> 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>

update

Arguments

:: Unbox a

=> Vector a

initial vector (of length m)

-> Vector (Int, a)

vector of index/value pairs (of length n)

-> Vector a

O(m+n) For each pair (i,a) from the vector of index/value pairs, replace the vector element at position i by a.

update <5,9,2,7> <(2,1),(0,3),(2,8)> = <3,9,8,7>

update_

Arguments

:: Unbox a

=> Vector a

initial vector (of length m)

-> Vector Int

index vector (of length n1)

-> Vector a

value vector (of length n2)

-> Vector a

O(m+min(n1,n2)) For each index i from the index vector and the corresponding value a from the value vector, replace the element of the initial vector at position i by a.

update_ <5,9,2,7>  <2,0,2> <1,3,8> = <3,9,8,7>

The function update provides the same functionality and is usually more convenient.

update_ xs is ys = update xs (zip is ys)

Accumulations

accum

Arguments

:: Unbox a

=> (a -> b -> a)

accumulating function f

-> Vector a

initial vector (of length m)

-> [(Int, b)]

list of index/value pairs (of length n)

-> 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>

accumulate

Arguments

:: (Unbox a, Unbox b)

=> (a -> b -> a)

accumulating function f

-> Vector a

initial vector (of length m)

-> Vector (Int, b)

vector of index/value pairs (of length n)

-> Vector a

O(m+n) For each pair (i,b) from the vector of pairs, replace the vector element a at position i by f a b.

accumulate (+) <5,9,2> <(2,4),(1,6),(0,3),(1,7)> = <5+3, 9+6+7, 2+4>

accumulate_

Arguments

:: (Unbox a, Unbox b)

=> (a -> b -> a)

accumulating function f

-> Vector a

initial vector (of length m)

-> Vector Int

index vector (of length n1)

-> Vector b

value vector (of length n2)

-> Vector a

O(m+min(n1,n2)) For each index i from the index vector and the corresponding value b from the the value vector, replace the element of the initial vector at position i by f a b.

accumulate_ (+) <5,9,2> <2,1,0,1> <4,6,3,7> = <5+3, 9+6+7, 2+4>

The function accumulate provides the same functionality and is usually more convenient.

accumulate_ f as is bs = accumulate f as (zip is bs)

Permutations

backpermute :: Unbox a => Vector a -> Vector Int -> Vector a

O(n) Yield the vector obtained by replacing each element i of the index vector by xs!i. This is equivalent to map (xs!) is but is often much more efficient.

backpermute <a,b,c,d> <0,3,2,3,1,0> = <a,d,c,d,b,a>

Folding

foldl1 :: Unbox a => (a -> a -> a) -> Vector a -> a

O(n) Left fold on non-empty vectors

foldl1' :: Unbox a => (a -> a -> a) -> Vector a -> a

O(n) Left fold on non-empty vectors with strict accumulator

foldr1 :: Unbox a => (a -> a -> a) -> Vector a -> a

O(n) Right fold on non-empty vectors

foldr1' :: Unbox a => (a -> a -> a) -> Vector a -> a

O(n) Right fold on non-empty vectors with strict accumulator

Specialised folds

maximum :: (Unbox a, Ord a) => Vector a -> a

O(n) Yield the maximum element of the vector. The vector may not be empty.

maximumBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> a

O(n) Yield the maximum element of the vector according to the given comparison function. The vector may not be empty.

minimum :: (Unbox a, Ord a) => Vector a -> a

O(n) Yield the minimum element of the vector. The vector may not be empty.

minimumBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> a

O(n) Yield the minimum element of the vector according to the given comparison function. The vector may not be empty.

minIndex :: (Unbox a, Ord a) => Vector a -> Int

O(n) Yield the index of the minimum element of the vector. The vector may not be empty.

minIndexBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> Int

O(n) Yield the index of the minimum element of the vector according to the given comparison function. The vector may not be empty.

maxIndex :: (Unbox a, Ord a) => Vector a -> Int

O(n) Yield the index of the maximum element of the vector. The vector may not be empty.

maxIndexBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> Int

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

fold1M :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m a

O(n) Monadic fold over non-empty vectors

fold1M' :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m a

O(n) Monadic fold over non-empty vectors with strict accumulator

fold1M_ :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m ()

O(n) Monadic fold over non-empty vectors that discards the result

fold1M'_ :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m ()

O(n) Monadic fold over non-empty vectors with strict accumulator that discards the result

Prefix sums (scans)

scanl1 :: Unbox a => (a -> a -> a) -> Vector a -> Vector a

O(n) Scan over a non-empty vector

scanl f <x1,...,xn> = <y1,...,yn>
  where y1 = x1
        yi = f y(i-1) xi

scanl1' :: Unbox a => (a -> a -> a) -> Vector a -> Vector a

O(n) Scan over a non-empty vector with a strict accumulator

scanr1 :: Unbox a => (a -> a -> a) -> Vector a -> Vector a

O(n) Right-to-left scan over a non-empty vector

scanr1' :: Unbox a => (a -> a -> a) -> Vector a -> Vector a

O(n) Right-to-left scan over a non-empty vector with a strict accumulator