fix: use generic broadcasting for complex numbers

lib/LuxLib/Project.toml

@@ -1,7 +1,7 @@
 name = "LuxLib"
 uuid = "82251201-b29d-42c6-8e01-566dec8acb11"
 authors = ["Avik Pal <[email protected]> and contributors"]
-version = "1.3.9"
+version = "1.3.10"
 
 [deps]
 ArrayInterface = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"

lib/LuxLib/src/impl/bias_activation.jl

@@ -80,14 +80,17 @@ function CRC.rrule(cfg::RuleConfig{>:HasReverseMode}, ::typeof(bias_activation),
         return y, ∇bias_activation_rrule
     end
 
-    y, ∇broadcast = CRC.rrule_via_ad(cfg, broadcast, σ ∘ +, x, reshape_bias(x, bias))
+    y, ∇broadcast = CRC.rrule_via_ad(
+        cfg, broadcast_bias_activation_generic, σ, x, reshape_bias(x, bias))
     ∇bias_activation_rrule = @closure Δ -> begin
         _, _, ∂x, ∂bias = ∇broadcast(Δ)
         return ∂∅, ∂∅, ∂∅, 𝒫x(∂x), 𝒫bias(vec(∂bias))
     end
     return y, ∇bias_activation_rrule
 end
 
+@inline broadcast_bias_activation_generic(σ::F, x, b) where {F} = σ.(x .+ b)
+
 bias_activation!!(::typeof(identity), x::AbstractVector, ::Nothing) = x
 for bType in (Nothing, AbstractVector)
     @eval function bias_activation!!(σ::F, x::AbstractVector, bias::$(bType)) where {F}

lib/LuxLib/src/traits.jl

@@ -21,7 +21,7 @@ is_mutable_array(::Nothing) = True()
 
 ChainRulesCore.@non_differentiable is_mutable_array(::Any...)
 
-for op in (:has_dual, :has_float16, :is_tracked)
+for op in (:has_dual, :has_float16, :is_tracked, :has_complex)
     @eval $op(::Nothing) = False()
     @eval $op(x::Numeric) = $op(eltype(x))
 end
@@ -38,6 +38,9 @@ has_dual(::Type{<:ForwardDiff.Dual}) = True()
 has_float16(_) = False()
 has_float16(::Type{<:Float16}) = True()
 
+has_complex(_) = False()
+has_complex(::Type{<:Complex}) = True()
+
 is_tracked(_) = False()
 
 has_autodiff_value(x) = is_tracked(x) | has_dual(x)
@@ -51,6 +54,7 @@ function use_generic_broadcasting(xs::Tuple)
     xs_unwrapped = unrolled_map(unwrap_array, xs)
     return unrolled_any(has_autodiff_value, xs_unwrapped) |
            unrolled_any(has_float16, xs_unwrapped) |
+           unrolled_any(has_complex, xs_unwrapped) |
            unrolled_any(static_isa(StaticArray), xs_unwrapped)
 end
 
@@ -198,6 +202,7 @@ Currently supported modes are:
       + ReverseDiff Arrays
       + Tracker Arrays
       + ForwardDiff.Dual Arrays
+      + Complex Arrays
 
   - `GPUBroadcastOp{dev}`: GPU Arrays where `dev` is obtained from `get_device_type(xs)`.
     This option dispatches should preferably use `KernelAbstractions` or specialized vendor

test/issue_tests.jl

@@ -0,0 +1,27 @@
+@testitem "complex differentiation: issue #977" tags=[:misc] begin
+    using Lux, Zygote, Random
+
+    rng = Random.default_rng()
+    Random.seed!(rng, 666)
+
+    rbf(x) = exp.(-(x .^ 2))
+
+    U = Lux.Chain(
+        Lux.Dense(1, 10, rbf),
+        Lux.Dense(10, 3, rbf)
+    )
+
+    θ, st = Lux.setup(rng, U)
+
+    function complex_step_differentiation(f::Function, x::Float64, ϵ::Float64)
+        return imag(f(x + ϵ * im)) / ϵ
+    end
+
+    loss(t) = sum(complex_step_differentiation(τ -> U([τ], θ, st)[begin], t, 1e-5))
+
+    if pkgversion(LuxLib) ≥ v"1.3.10"
+        @test only(Zygote.gradient(loss, 1.0)) isa Float64
+    else
+        @test_broken only(Zygote.gradient(loss, 1.0)) isa Float64
+    end
+end