Quaternions.jl

A Julia implementation of quaternions.

Quaternions are best known for their suitability as representations of 3D rotational orientation. They can also be viewed as an extension of complex numbers.

First example

julia> using Quaternions

julia> k = quat(0, 0, 0, 1)
Quaternion{Int64}(0, 0, 0, 1)

julia> j = quat(0, 0, 1, 0)
Quaternion{Int64}(0, 0, 1, 0)

julia> i = j*k
Quaternion{Int64}(0, 1, 0, 0)

julia> i^2 == j^2 == k^2 == i*j*k == -1 # Similar to `im^2`.
true

julia> 1 + i + k + j  # Compatible with arithmetic operations as a `Number`.
Quaternion{Int64}(1, 1, 1, 1)

Check out the docs for further instructions.

In JuliaGeometry organization, there is also Octonions.jl package.