Thanks for the reply Ondřej. I will look into Julia's implementation. I 
think that is a good place to start. I will eventually try to implement a 
lot more though. I am looking towards a Quaternion Algebra submodule.
I found one such module in Sage so I guess that might be a good reference 
as well. 

On Friday, August 4, 2017 at 12:23:38 PM UTC-5, Ondřej Čertík wrote:
>
> Hi Nikhil, 
>
> On Fri, Aug 4, 2017 at 8:12 AM, Nikhil Pappu <nkhl...@gmail.com 
> <javascript:>> wrote: 
> > I was able to find some support for Quaternion Rotation in the Vector 
> module 
> > but I did not come across a general submodule on Quaternions which 
> allows 
> > users to define them and work with them. 
> > I would like to implement a submodule which can support Quaternion 
> > Arithmetic, Functions, Quaternion Calculus, Rotation conversions etc. 
> > It can then be extended to support more advanced Quaternion Algebra. 
> > 
> > Would it be a good idea for me to start working on this? 
>
>
> I think that would be useful. I was just looking for such a module few 
> days ago. You should look into how Julia does it: 
>
> https://github.com/JuliaGeometry/Quaternions.jl 
>
> Looks like they represent a quaternion a+bi+cj+dk as a tuple of of 
> coefficients (a, b, c, d) and they also store a flag if the norm can 
> be computed (it seems). 
>
> Here I wrote code to multiply quaternions: 
>
>
> https://gitlab.com/certik/ijk/blob/df5f961d1f0432449fd7f16d21fa14840eef8c72/mul.py
>  
>
> I used complex 2x2 matrices. But Julia simply computes the new 
> coefficients (a, b, c, d) directly: 
>
>
> https://github.com/JuliaGeometry/Quaternions.jl/blob/62200f0ac5efd6d4d042f5d778d0cf2856c38c50/src/Quaternion.jl#L88
>  
>
> That's probably the way to go. 
>
> Ondrej 
>

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