Yota support

[mohdibntarek]

This PR is based on #49 but tests here fail. I am opening it in case @dfdx or someone else can figure out why they fail when Zygote passes.

[dfdx]

I see one error coming from a Yota bug that is already fixed on main, but I can't immediately understand the others, especially related to the arity of functions, e.g.:

MethodError: no method matching fder(::Float64) Closest candidates are: fder(::Any, ::Any) at /home/runner/work/AbstractDifferentiation.jl/AbstractDifferentiation.jl/test/test_utils.jl:6

Do you have a minimal code example that reproduces them? If not, give me a couple of days to learn internals of AbstractDifferentiation and find where the problem comes from.

[codecov-commenter]

Codecov Report

Merging #50 (89ed1b8) into master (8f0d6db) will decrease coverage by 5.15%. The diff coverage is 0.00%.

@@            Coverage Diff             @@
##           master      #50      +/-   ##
==========================================
- Coverage   83.36%   78.21%   -5.16%     
==========================================
  Files           6        6              
  Lines         475      358     -117     
==========================================
- Hits          396      280     -116     
+ Misses         79       78       -1     

Impacted Files	Coverage Δ
src/AbstractDifferentiation.jl	77.41% <0.00%> (-1.00%)	:arrow_down:
src/ruleconfig.jl	0.00% <0.00%> (-100.00%)	:arrow_down:
src/finitedifferences.jl	75.00% <0.00%> (-25.00%)	:arrow_down:
src/tracker.jl	83.33% <0.00%> (-16.67%)	:arrow_down:
src/forwarddiff.jl	86.20% <0.00%> (-13.80%)	:arrow_down:
src/reversediff.jl	92.00% <0.00%> (-8.00%)	:arrow_down:

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[mohdibntarek]

Do you have a minimal code example that reproduces them?

Unfortunately no. I can dig into it next week if you don't beat me to it (please do :)).

[dfdx]

I managed to fix a few cases, but the amount of errors only grows, and I don't understand the code base here well enough to understand what exactly is expected. Is there a minimal set of interfaces that need to be implemented? Perhaps, value_and_xxx set of methods?

[mohdibntarek]

Some of the internals here will be redesigned soon so I would wait for that to happen before trying to understand them :)