complex number support?

[Roger-luo]

I ran into this problem by using the AutoTsit5(Rosenbrock23()) on shordinger function (an equation that has a complex valued state), basically it seems the following line

SparseDiffTools.jl/src/differentiation/compute_jacobian_ad.jl

Line 29 in fb09091

_t = Dual{typeof(ForwardDiff.Tag(f,eltype(vec(x))))}.(vec(x),first(p))

won't run if x is complex-valued. I'm not sure how should this be generalized however...

[ChrisRackauckas]

AutoTsit5(Rosenbrock23(autodiff=false)) does that work?

[Roger-luo]

yes, @ChrisRackauckas that works! I'm not sure what's the difference with or without AD tho?

[ChrisRackauckas]

Not much. In some very numerically ill-conditioned problems it can matter, but most tests show little performance difference. It's really just a safety difference.