Data.Array.Accelerate.Linear.Vector

Operations on free vector spaces

Documentation

class Additive f => Additive f where

A vector is an additive group with additional structure.

TODO: Support both Exp and Acc

Methods

zero :: (Elt (f a), Num a) => Exp (f a)

The zero vector

(^+^) :: forall a. (Num a, Box f a) => Exp (f a) -> Exp (f a) -> Exp (f a) infixl 6

Compute the sum of two vectors

>>> V2 1 2 ^+^ V2 3 4
V2 4 6

(^-^) :: forall a. (Num a, Box f a) => Exp (f a) -> Exp (f a) -> Exp (f a) infixl 6

Compute the difference between two vectors

>>> V2 4 5 - V2 3 1
V2 1 4

lerp :: forall a. (Num a, Box f a) => Exp a -> Exp (f a) -> Exp (f a) -> Exp (f a)

Linearly interpolate between two vectors

type IsAdditive f a = (Additive f, Box f a)

newtype E t

Basis element

Constructors

E

Fields

• el :: forall a. (Elt a, Box t a) => Lens' (Exp (t a)) (Exp a)

negated :: forall f a. (Functor f, Num a, Box f a) => Exp (f a) -> Exp (f a)

Compute the negation of a vector

>>> negated (V2 2 4)
V2 (-2) (-4)

(*^) :: forall f a. (Functor f, Num a, Box f a) => Exp a -> Exp (f a) -> Exp (f a) infixl 7

Compute the left scalar product

>>> 2 *^ V2 3 4
V2 6 8

(^*) :: forall f a. (Functor f, Num a, Box f a) => Exp (f a) -> Exp a -> Exp (f a) infixl 7

Compute the right scalar product

>>> V2 3 4 ^* 2
V2 6 8

(^/) :: forall f a. (Functor f, Fractional a, Box f a) => Exp (f a) -> Exp a -> Exp (f a) infixl 7

Compute division by a scalar on the right

V2 4 6 ^/ 2 V2 2 3

(/^) :: forall f a. (Functor f, Fractional a, Box f a) => Exp a -> Exp (f a) -> Exp (f a) infixl 7

Compute division of a scalar on the left

>>> 4 /^ V2 2 4
V2 2 1

(+^) :: forall f a. (Functor f, Num a, Box f a) => Exp a -> Exp (f a) -> Exp (f a) infixl 6

Addition with a scalar on the left

>>> 2 +^ V2 3 4
V2 5 4

(^+) :: forall f a. (Functor f, Num a, Box f a) => Exp (f a) -> Exp a -> Exp (f a) infixl 6

Addition with a scalar on the right

>>> V2 1 2 ^+ 3
V2 4 3

(-^) :: forall f a. (Functor f, Num a, Box f a) => Exp a -> Exp (f a) -> Exp (f a) infixl 6

Subtraction with a scalar on the left

>>> 2 -^ V2 3 4
V2 1 2

(^-) :: forall f a. (Functor f, Num a, Box f a) => Exp (f a) -> Exp a -> Exp (f a) infixl 6

Subtraction with a scalar on the right

>>> V2 1 2 ^- 3
V2 (-2) (-1)