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Move AD Rules to SciMLSensitivity #744

@prbzrg

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@prbzrg

# ForwardDiff integration
ZygoteRules.@adjoint function ForwardDiff.Dual{T}(x, ẋ::Tuple) where T
@assert length(ẋ) == 1
ForwardDiff.Dual{T}(x, ẋ), ḋ -> (ḋ.partials[1], (ḋ.value,))
end
ZygoteRules.@adjoint ZygoteRules.literal_getproperty(d::ForwardDiff.Dual{T}, ::Val{:partials}) where T =
d.partials, ṗ -> (ForwardDiff.Dual{T}(ṗ[1], 0),)
ZygoteRules.@adjoint ZygoteRules.literal_getproperty(d::ForwardDiff.Dual{T}, ::Val{:value}) where T =
d.value, ẋ -> (ForwardDiff.Dual{T}(0, ẋ),)
ZygoteRules.@adjoint ZygoteRules.literal_getproperty(A::Tridiagonal, ::Val{:dl}) = A.dl,y -> Tridiagonal(dl,zeros(length(d)),zeros(length(du)),)
ZygoteRules.@adjoint ZygoteRules.literal_getproperty(A::Tridiagonal, ::Val{:d}) = A.d,y -> Tridiagonal(zeros(length(dl)),d,zeros(length(du)),)
ZygoteRules.@adjoint ZygoteRules.literal_getproperty(A::Tridiagonal, ::Val{:du}) = A.dl,y -> Tridiagonal(zeros(length(dl)),zeros(length(d),du),)
ZygoteRules.@adjoint Tridiagonal(dl, d, du) = Tridiagonal(dl, d, du), p̄ -> (diag(p̄[2:end,1:end-1]),diag(p̄),diag(p̄[1:end-1,2:end]))

Related to SciML/SciMLSensitivity.jl#582

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