On Friday, 9 February 2018 at 02:40:06 UTC, Nick Sabalausky
(Abscissa) wrote:
On 02/08/2018 04:37 PM, Amorphorious wrote:
On Thursday, 8 February 2018 at 15:23:05 UTC, Simen Kjærås
wrote:
So I was bored in a meeting and decided to implement a
generic template for defining complex numbers, dual numbers,
quaternions and many other possible algebras by simply
defining a set of rules and the components on which they act:
source:
https://gist.github.com/Biotronic/833680b37d4afe774c8562fd21554c6b
Cool. Took me a while to start to understand it and still not
100% grokked (partly because I've never quite been able to
fully grasp quaternion math (at least, beyond Unity3D's
ultra-easy abstraction for it) and never heard of dual numbers
before), but staring at the complex number example helped see
how this works. It's a very cool idea!
quats are just complex numbers with extra variables like i. Each
one is the square root of -1, but they are obviously incompatible.
i^2 = j^2 = k^2 = -1
https://en.wikipedia.org/wiki/Quaternion
See the multiplication table.
It's just an "extension" of complex numbers. They are homomorphic
to 4x4 matrices but sometimes easier to work with.
Nothing really special about them... sorta like pepsi vs coke.
It would be nice if you learned how to document your code.
It's not always easy for someone on the outside to be able to
pick it up and it ultimately means your hard work will be less
used as it could be. I know that sometimes comments can be
redundant but it can also provide a better understanding.
Well, that's the difference between a formal library package
release vs sharing a working proof of concept jotted down to
pass time ;)
Yes, but he can go back an add some friendly text at some
point... He knows most about it so it is much easier and
shouldn't take more than a few mins.
