Data.Packed.Vector

1D arrays suitable for numeric computations using external libraries.

This module provides basic functions for manipulation of structure.

Documentation

data Vector a :: * -> *

Storable-based vectors

Instances

Complexable Vector

Storable a => Vector Vector a

Container Vector Double

Container Vector Float

Normed Vector Double

Normed Vector Float

LSDiv Vector Vector

Mul Vector Matrix Vector

Mul Matrix Vector Vector

Container Vector (Complex Double)

Container Vector (Complex Float)

Normed Vector (Complex Double)

Normed Vector (Complex Float)

Storable a => IsList (Vector a)

(Storable a, Eq a) => Eq (Vector a)

Floating (Vector Double)

Floating (Vector Float)

Floating (Vector (Complex Double))

Floating (Vector (Complex Float))

(Container Vector a, Num (Vector a)) => Fractional (Vector a)

(Data a, Storable a) => Data (Vector a)

Num (Vector Double)

Num (Vector Float)

Num (Vector (Complex Double))

Num (Vector (Complex Float))

(Storable a, Ord a) => Ord (Vector a)

(Read a, Storable a) => Read (Vector a)

(Show a, Storable a) => Show (Vector a)

Storable a => Monoid (Vector a)

(Binary a, Storable a) => Binary (Vector a)

NFData (Vector a)

Typeable (* -> *) Vector

type Mutable Vector = MVector

type IndexOf Vector = Int

type Item (Vector a) = a

fromList :: Storable a => [a] -> Vector a

O(n) Convert a list to a vector

(|>) :: Storable a => Int -> [a] -> Vector a infixl 9

An alternative to fromList with explicit dimension. The input list is explicitly truncated if it is too long, so it may safely be used, for instance, with infinite lists.

This is the format used in the instances for Show (Vector a).

toList :: Storable a => Vector a -> [a]

extracts the Vector elements to a list

> toList (linspace 5 (1,10))
[1.0,3.25,5.5,7.75,10.0]

buildVector :: Storable a => Int -> (Int -> a) -> Vector a

creates a Vector of the specified length using the supplied function to to map the index to the value at that index.

> buildVector 4 fromIntegral
4 |> [0.0,1.0,2.0,3.0]

dim :: Storable t => Vector t -> Int

Number of elements

(@>) :: Storable t => Vector t -> Int -> t infixl 9

Reads a vector position:

> fromList [0..9] @> 7
7.0

subVector

Arguments

:: Storable t

=> Int

index of the starting element

-> Int

number of elements to extract

-> Vector t

source

-> Vector t

result

takes a number of consecutive elements from a Vector

> subVector 2 3 (fromList [1..10])
3 |> [3.0,4.0,5.0]

takesV :: Storable t => [Int] -> Vector t -> [Vector t]

Extract consecutive subvectors of the given sizes.

> takesV [3,4] (linspace 10 (1,10))
[3 |> [1.0,2.0,3.0],4 |> [4.0,5.0,6.0,7.0]]

join :: Storable t => [Vector t] -> Vector t

creates a new Vector by joining a list of Vectors

> join [fromList [1..5], constant 1 3]
8 |> [1.0,2.0,3.0,4.0,5.0,1.0,1.0,1.0]

mapVector :: (Storable a, Storable b) => (a -> b) -> Vector a -> Vector b

map on Vectors

mapVectorWithIndex :: (Storable a, Storable b) => (Int -> a -> b) -> Vector a -> Vector b

zipVector :: (Storable a, Storable b, Storable (a, b)) => Vector a -> Vector b -> Vector (a, b)

zip for Vectors

zipVectorWith :: (Storable a, Storable b, Storable c) => (a -> b -> c) -> Vector a -> Vector b -> Vector c

zipWith for Vectors

unzipVector :: (Storable a, Storable b, Storable (a, b)) => Vector (a, b) -> (Vector a, Vector b)

unzip for Vectors

unzipVectorWith :: (Storable (a, b), Storable c, Storable d) => ((a, b) -> (c, d)) -> Vector (a, b) -> (Vector c, Vector d)

unzipWith for Vectors

mapVectorM :: (Storable a, Storable b, Monad m) => (a -> m b) -> Vector a -> m (Vector b)

monadic map over Vectors the monad m must be strict

mapVectorM_ :: (Storable a, Monad m) => (a -> m ()) -> Vector a -> m ()

monadic map over Vectors

mapVectorWithIndexM :: (Storable a, Storable b, Monad m) => (Int -> a -> m b) -> Vector a -> m (Vector b)

monadic map over Vectors with the zero-indexed index passed to the mapping function the monad m must be strict

mapVectorWithIndexM_ :: (Storable a, Monad m) => (Int -> a -> m ()) -> Vector a -> m ()

monadic map over Vectors with the zero-indexed index passed to the mapping function

foldLoop :: (Int -> t -> t) -> t -> Int -> t

foldVector :: Storable a => (a -> b -> b) -> b -> Vector a -> b

foldVectorG :: Storable t1 => (Int -> (Int -> t1) -> t -> t) -> t -> Vector t1 -> t

foldVectorWithIndex :: Storable a => (Int -> a -> b -> b) -> b -> Vector a -> b