Make use of DifferentiationInterface.jl?

[willtebbutt]

Currently, there are extensions for each of the AD backends that this package supports. Would it be possibe to refactor to just make use of DifferentiationInterface, and let the user swap out the ADType so that we don't have to maintain this here?

[Red-Portal]

I would love to, but we heavily make use of auxiliary input which requires this issue to be resolved. Until then...

[willtebbutt]

Ahhh makes sense. I'll close this issue since it seems like you're on top of it!

[gdalle]

@Red-Portal the upcoming release of DifferentiationInterface supports auxiliary inputs, as long as only one input is active (differentiated). Wanna revisit this?

[Red-Portal]

@gdalle Absolutely! Do you have a rough release date in mind?

[gdalle]

The last thing I need is for @willtebbutt to make the necessary changes to ADTypes so that we have an AutoMooncake struct, then we should be good to go

[gdalle]

@Red-Portal let's do this!
https://github.com/gdalle/DifferentiationInterface.jl/releases/tag/DifferentiationInterface-v0.6.0

[Red-Portal]

Handled by #98