rio-0.1.8.0: A standard library for Haskell

Safe Haskell | None
Language | Haskell2010

RIO.Vector.Unboxed.Partial

Contents

- Accessors
  - Indexing
  - Monadic indexing
  - Extracting subvectors
- Modifying vectors
  - Bulk updates
  - Accumulations
  - Permutations
- Folding
  - Specialised folds
  - Monadic folds
- Prefix sums (scans)

Synopsis

- (!) :: Unbox a => Vector a -> Int -> a
- head :: Unbox a => Vector a -> a
- last :: Unbox a => Vector a -> a
- indexM :: (Unbox a, Monad m) => Vector a -> Int -> m a
- headM :: (Unbox a, Monad m) => Vector a -> m a
- lastM :: (Unbox a, Monad m) => Vector a -> m a
- init :: Unbox a => Vector a -> Vector a
- tail :: Unbox a => Vector a -> Vector a
- (//) :: Unbox a => Vector a -> [(Int, a)] -> Vector a
- update :: Unbox a => Vector a -> Vector (Int, a) -> Vector a
- update_ :: Unbox a => Vector a -> Vector Int -> Vector a -> Vector a
- accum :: Unbox a => (a -> b -> a) -> Vector a -> [(Int, b)] -> Vector a
- accumulate :: (Unbox a, Unbox b) => (a -> b -> a) -> Vector a -> Vector (Int, b) -> Vector a
- accumulate_ :: (Unbox a, Unbox b) => (a -> b -> a) -> Vector a -> Vector Int -> Vector b -> Vector a
- backpermute :: Unbox a => Vector a -> Vector Int -> Vector a
- foldl1 :: Unbox a => (a -> a -> a) -> Vector a -> a
- foldl1' :: Unbox a => (a -> a -> a) -> Vector a -> a
- foldr1 :: Unbox a => (a -> a -> a) -> Vector a -> a
- foldr1' :: Unbox a => (a -> a -> a) -> Vector a -> a
- maximum :: (Unbox a, Ord a) => Vector a -> a
- maximumBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> a
- minimum :: (Unbox a, Ord a) => Vector a -> a
- minimumBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> a
- minIndex :: (Unbox a, Ord a) => Vector a -> Int
- minIndexBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> Int
- maxIndex :: (Unbox a, Ord a) => Vector a -> Int
- maxIndexBy :: Unbox a => (a -> a -> Ordering) -> Vector a -> Int
- fold1M :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m a
- fold1M' :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m a
- fold1M_ :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m ()
- fold1M'_ :: (Monad m, Unbox a) => (a -> a -> m a) -> Vector a -> m ()
- scanl1 :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
- scanl1' :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
- scanr1 :: Unbox a => (a -> a -> a) -> Vector a -> Vector a
- scanr1' :: Unbox a => (a -> a -> a) -> Vector a -> Vector a

# Accessors

## Indexing

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

O(1) Indexing

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

O(1) First element

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

O(1) Last element

## Monadic indexing

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

O(1) Indexing in a monad.

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

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

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

With `indexM`, copying can be implemented like this instead:

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

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

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

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

## Extracting subvectors

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

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

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

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

# Modifying vectors

## Bulk updates

(//) Source #

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 Source #

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_ Source #

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 Source #

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 Source #

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_ Source #

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 Source #

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 Source #

O(n) Left fold on non-empty vectors

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

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

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

O(n) Right fold on non-empty vectors

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

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

## Specialised folds

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

## Monadic folds

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

O(n) Monadic fold over non-empty vectors

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

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

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

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

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

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

# Prefix sums (scans)

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

O(n) Scan over a non-empty vector

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

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

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

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

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

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

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