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derivative(f!, y, x) doesn't work if y is complex, even if x is real #818

Description

@wsshin

Here is an MWE. For f(x) generating a complex array for x::Real, derivative(f, x) works:

julia> VERSION
v"1.12.6"

julia> using ForwardDiff: derivative

julia> f(x::Real) = [cis(x), cis(x)];

julia> derivative(f, 0.0)
2-element Vector{ComplexF64}:
 -0.0 + 1.0im
 -0.0 + 1.0im

However, derivative for an overwriting f! generates an error, if f! overwrites a complex array:

julia> f!(y::AbstractVector{<:Complex}, x::Real) = (y .= cis(x));

julia> y = Vector{ComplexF64}(undef, 2);  # f!(y, x) produces same result as y .= f(x)

julia> derivative(f!, y, 0.0)
ERROR: MethodError: no method matching ForwardDiff.DerivativeConfig(::typeof(f!), ::Vector{ComplexF64}, ::Float64)
The type `ForwardDiff.DerivativeConfig` exists, but no method is defined for this combination of argument types when trying to construct it.

Closest candidates are:
  ForwardDiff.DerivativeConfig(::F, ::AbstractArray{Y}, ::X) where {F, X<:Real, Y<:Real}
   @ ForwardDiff ~/code/ForwardDiff/src/config.jl:82
  ForwardDiff.DerivativeConfig(::F, ::AbstractArray{Y}, ::X, ::T) where {F, X<:Real, Y<:Real, T}
   @ ForwardDiff ~/code/ForwardDiff/src/config.jl:82

Stacktrace:
 [1] derivative(f!::typeof(f!), y::Vector{ComplexF64}, x::Float64)
   @ ForwardDiff ~/code/ForwardDiff/src/derivative.jl:27
 [2] top-level scope
   @ REPL[6]:1

Is this an intentional limitation of derivative(f!, y, x)? Given that f and f! in the above example perform the same calculation except that the latter is overwriting, it looks strange that derivative(f!, y, x) doesn't work while derivative(f, x) works.

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