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Implement partials/value for complex duals #732

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Implement partials/value for complex duals #732

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3be1cf2
Implement partials/value for complex duals
dlfivefifty Dec 12, 2024
d05bb57
Return Partials from partials
dlfivefifty Dec 12, 2024
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5 changes: 5 additions & 0 deletions src/dual.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -88,6 +88,7 @@ Dual{T,V,N}(x::Base.TwicePrecision) where {T,V,N} =

@inline value(x) = x
@inline value(d::Dual) = d.value
@inline value(d::Complex{<:Dual}) = complex(value(real(d)), value(imag(d)))

@inline value(::Type{T}, x) where T = x
@inline value(::Type{T}, d::Dual{T}) where T = value(d)
Expand All @@ -101,6 +102,8 @@ end

@inline partials(x) = Partials{0,typeof(x)}(tuple())
@inline partials(d::Dual) = d.partials
@inline partials(d::Complex{<:Dual}, i) = complex(partials(real(d), i), partials(imag(d), i))
@inline partials(d::Complex{<:Dual}) = Partials(complex.(partials(real(d)).values, partials(imag(d)).values))
@inline partials(x, i...) = zero(x)
@inline Base.@propagate_inbounds partials(d::Dual, i) = d.partials[i]
@inline Base.@propagate_inbounds partials(d::Dual, i, j) = partials(d, i).partials[j]
Expand All @@ -119,6 +122,8 @@ end

@inline npartials(::Dual{T,V,N}) where {T,V,N} = N
@inline npartials(::Type{Dual{T,V,N}}) where {T,V,N} = N
@inline npartials(::Complex{<:Dual{T,V,N}}) where {T,V,N} = N
@inline npartials(::Type{<:Complex{<:Dual{T,V,N}}}) where {T,V,N} = N

@inline order(::Type{V}) where {V} = 0
@inline order(::Type{Dual{T,V,N}}) where {T,V,N} = 1 + order(V)
Expand Down
12 changes: 11 additions & 1 deletion test/DualTest.jl
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Expand Up @@ -4,7 +4,7 @@ using Test
using Printf
using Random
using ForwardDiff
using ForwardDiff: Partials, Dual, value, partials
using ForwardDiff: Partials, Dual, value, partials, npartials

using NaNMath, SpecialFunctions, LogExpFunctions
using DiffRules
Expand Down Expand Up @@ -673,4 +673,14 @@ end
@test ForwardDiff.derivative(x -> sum(1 .+ x .* (0:0.1:1)), 1) == 5.5
end

@testset "Complex value/partials" begin
x = Dual(1,2,3) + im*Dual(4,5,6)
@test value(x) == 1+im*4
@test partials(x,1) == 2 + 5im
@test partials(x,2) == 3 + 6im
@test partials(x) == [2+5im,3+6im]
@test partials(x) isa Partials
@test npartials(x) == npartials(typeof(x)) == 2
end

end # module
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