Safe Haskell | None |
---|---|

Language | Haskell2010 |

Boxed `Vector`

partial functions. Import as:

import qualified RIO.Vector.Boxed.Partial as VB'

## Synopsis

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

# Accessors

## Indexing

## Monadic indexing

indexM :: 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 :: 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 :: 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 :: Vector a -> Vector a #

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

tail :: Vector a -> Vector a #

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

# Modifying vectors

## Bulk updates

:: 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>

:: Vector a | initial vector (of length |

-> Vector (Int, a) | vector of index/value pairs (of length |

-> Vector a |

*O(m+n)* For each pair `(i,a)`

from the vector of index/value pairs,
replace the vector element at position `i`

by `a`

.

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

:: Vector a | initial vector (of length |

-> Vector Int | index vector (of length |

-> Vector a | value vector (of length |

-> Vector a |

*O(m+min(n1,n2))* For each index `i`

from the index vector and the
corresponding value `a`

from the value vector, replace the element of the
initial vector at position `i`

by `a`

.

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

The function `update`

provides the same functionality and is usually more
convenient.

update_ xs is ys =`update`

xs (`zip`

is ys)

## Accumulations

:: (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 as V`

`>>>`

[1003.0,2016.0,3004.0]`V.accum (+) (V.fromList [1000.0,2000.0,3000.0]) [(2,4),(1,6),(0,3),(1,10)]`

:: (a -> b -> a) | accumulating function |

-> Vector a | initial vector (of length |

-> Vector (Int, b) | vector of index/value pairs (of length |

-> Vector a |

*O(m+n)* For each pair `(i,b)`

from the vector of pairs, replace the vector
element `a`

at position `i`

by `f a b`

.

#### Examples

`>>>`

`import qualified Data.Vector as V`

`>>>`

[1003.0,2016.0,3004.0]`V.accumulate (+) (V.fromList [1000.0,2000.0,3000.0]) (V.fromList [(2,4),(1,6),(0,3),(1,10)])`

:: (a -> b -> a) | accumulating function |

-> Vector a | initial vector (of length |

-> Vector Int | index vector (of length |

-> Vector b | value vector (of length |

-> Vector a |

*O(m+min(n1,n2))* For each index `i`

from the index vector and the
corresponding value `b`

from the the value vector,
replace the element of the initial vector at
position `i`

by `f a b`

.

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

The function `accumulate`

provides the same functionality and is usually more
convenient.

accumulate_ f as is bs =`accumulate`

f as (`zip`

is bs)

## Permutations

# Folding

foldl1' :: (a -> a -> a) -> Vector a -> a #

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

foldr1' :: (a -> a -> a) -> Vector a -> a #

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

## Specialised folds

maximum :: Ord a => Vector a -> a #

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

#### Examples

`>>>`

`import qualified Data.Vector as V`

`>>>`

2.0`V.maximum $ V.fromList [2.0, 1.0]`

maximumBy :: (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 :: Ord a => Vector a -> a #

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

#### Examples

`>>>`

`import qualified Data.Vector as V`

`>>>`

1.0`V.minimum $ V.fromList [2.0, 1.0]`

minimumBy :: (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 :: Ord a => Vector a -> Int #

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

minIndexBy :: (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 :: Ord a => Vector a -> Int #

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

maxIndexBy :: (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 => (a -> a -> m a) -> Vector a -> m a #

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

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

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

fold1M'_ :: Monad m => (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 :: (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