vector-space-0.7.6: Vector & affine spaces, linear maps, and derivatives (requires ghc 6.9 or better) Source code Contents Index

Data.Cross Stability experimental Maintainer conal@conal.net

Description

Cross products and normals

Synopsis

class HasNormal v where normalVec :: v -> v normal :: (HasNormal v, InnerSpace v, Floating (Scalar v)) => v -> v type One s = s type Two s = (s, s) type Three s = (s, s, s) class HasCross2 v where cross2 :: v -> v class HasCross3 v where cross3 :: v -> v -> v

Documentation

class HasNormal v where Source

Thing with a normal vector (not necessarily normalized). Methods normalVec :: v -> v Source Instances (Num s, VectorSpace s, HasBasis s, HasTrie (Basis s), HasNormal (:> (Two s) (Three s))) => HasNormal (Three (:> (Two s) s)) (Basis s ~ (), Num s, VectorSpace s, HasBasis s, HasTrie (Basis s)) => HasNormal (Two (:> (One s) s)) (Basis s ~ (), Num s, HasTrie (Basis (s, s)), HasBasis s) => HasNormal (:> (Two s) (Three s)) (Basis s ~ (), HasBasis s, HasTrie (Basis s)) => HasNormal (:> (One s) (Two s))

normal :: (HasNormal v, InnerSpace v, Floating (Scalar v)) => v -> v Source

Normalized normal vector. See also cross.

type One s = s Source

Singleton

type Two s = (s, s) Source

Homogeneous pair

type Three s = (s, s, s) Source

Homogeneous triple

class HasCross2 v where Source

Cross product of various forms of 2D vectors Methods cross2 :: v -> v Source Instances AdditiveGroup u => HasCross2 (u, u) (HasBasis a, HasTrie (Basis a), VectorSpace v, HasCross2 v) => HasCross2 (:> a v)

class HasCross3 v where Source

Cross product of various forms of 3D vectors Methods cross3 :: v -> v -> v Source Instances (HasBasis a, HasTrie (Basis a), VectorSpace v, HasCross3 v) => HasCross3 (:> a v) Num s => HasCross3 (s, s, s)

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