Support complex output in derivative
#583
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This was referenced Apr 29, 2022
moble
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May 19, 2022
`ForwardDiff` [recently added](JuliaDiff/ForwardDiff.jl#583) support for complex-valued functions of real arguments, which demonstrates the (presumably) right way to support geometric-algebra-valued functions, including quaternion-valued functions. I was on roughly the right track, but the default method should return 0, and the specific methods of quaternions over `Dual`s should have extracted the `partials` field of each components. This implements that approach.
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This allows the differentiation of real->complex functions, which is unambiguous and not tricky (unlike complex->something)