https://github.com/JuliaGeometry/Quaternions.jl

A Julia implementation of quaternions
https://github.com/JuliaGeometry/Quaternions.jl

julia quaternion

Last synced: 3 months ago
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A Julia implementation of quaternions

• Host: GitHub
• URL: https://github.com/JuliaGeometry/Quaternions.jl
• Owner: JuliaGeometry
• License: mit
• Created: 2013-12-16T22:00:25.000Z (almost 11 years ago)
• Default Branch: main
• Last Pushed: 2024-05-06T16:16:53.000Z (6 months ago)
• Last Synced: 2024-05-08T21:21:15.224Z (6 months ago)
• Topics: julia, quaternion
• Language: Julia
• Homepage: https://juliageometry.github.io/Quaternions.jl
• Size: 925 KB
• Stars: 115
• Watchers: 31
• Forks: 38
• Open Issues: 10
• Metadata Files:
  • Readme: README.md
  • License: LICENSE.md

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README

        
# Quaternions.jl

A Julia implementation of quaternions.

[![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://JuliaGeometry.github.io/Quaternions.jl/stable)

[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://JuliaGeometry.github.io/Quaternions.jl/dev)

[![Build Status](https://github.com/JuliaGeometry/Quaternions.jl/workflows/CI/badge.svg)](https://github.com/JuliaGeometry/Quaternions.jl/actions?query=workflow%3ACI+branch%3Amain)

[![codecov](https://codecov.io/gh/JuliaGeometry/Quaternions.jl/branch/main/graph/badge.svg?token=dJBiR91dCD)](https://codecov.io/gh/JuliaGeometry/Quaternions.jl)

[![Aqua QA](https://raw.githubusercontent.com/JuliaTesting/Aqua.jl/master/badge.svg)](https://github.com/JuliaTesting/Aqua.jl)

[Quaternions](http://en.wikipedia.org/wiki/Quaternion) 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

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](https://juliageometry.github.io/Quaternions.jl) for further instructions.

In JuliaGeometry organization, there is also [Octonions.jl](https://github.com/JuliaGeometry/Octonions.jl) package.