vector-space-0.7.3: Vector & affine spaces, linear maps, and derivatives (requires ghc 6.9 or better)

Stabilityexperimental
Maintainerconal@conal.net, andygill@ku.edu

Data.AdditiveGroup

Description

Groups: zero, addition, and negation (additive inverse)

Synopsis

Documentation

class AdditiveGroup v whereSource

Additive group v.

Methods

zeroV :: vSource

The zero element: identity for '(^+^)'

(^+^) :: v -> v -> vSource

Add vectors

negateV :: v -> vSource

Additive inverse

(^-^) :: AdditiveGroup v => v -> v -> vSource

Group subtraction

sumV :: (Foldable f, AdditiveGroup v) => f v -> vSource

Sum over several vectors

newtype Sum a Source

Monoid under group addition. Alternative to the Sum in Data.Monoid, which uses Num instead of AdditiveGroup.

Constructors

Sum 

Fields

getSum :: a
 

inSum :: (a -> b) -> Sum a -> Sum bSource

Application a unary function inside a Sum

inSum2 :: (a -> b -> c) -> Sum a -> Sum b -> Sum cSource

Application a binary function inside a Sum