Linear algrebra module by Marc Lepage

OVERVIEW

The linear algebra module can perform common operations on three dimensional vectors. It's useful when using LuaGL (OpenGL).

USAGE

-- import module require "la"

-- create a few vectors (any table with numbers at indexes [1] [2] [3]) u, v = {1,0,0}, {0,1,0}

-- compute u + v r = la.add(u, v) -- results are new vectors (convenience) la.add(u, v, r) -- unless a result vector is specified (better performance) la.add(u, v, u) -- which can safely be one of the operands (u += v)

-- compute u - v (so u is again {1,0,0}) la.sub(u, v, u)

-- dot product is projection (result is 0 since u and v are orthogonal) la.dot(u, v)

-- cross product is right handed (result is {0,0,1}) la.cross(u, v)

-- negate and normalize (result is approx {-0.707,-0.707,0}) la.neg(la.norm({1,1,0}))

-- scalar multiplication (2*u) and division (v/3) la.mul(u, 2) la.div(v, 3)

RESOURCES

http://en.wikipedia.org/wiki/Linear_algebra http://en.wikipedia.org/wiki/Euclidean_vector http://en.wikipedia.org/wiki/Dot_product http://en.wikipedia.org/wiki/Cross_product