### A Pluto.jl notebook ###
# v0.17.0

using Markdown
using InteractiveUtils

# ╔═╡ 2f3c99fc-3c06-11ec-2eaf-ad9208fede3f
using Symbolics,Flux,ForwardDiff,DiffEqFlux,PlutoUI,ZygoteRules

# ╔═╡ cb0355a2-b224-4f62-9588-a2b797b6d224
f = Chain(x -> fill(x, 3), Dense(3, 3, softplus))

# ╔═╡ f3e9ba85-9eba-4b7d-aa60-cc5d9887bcbd
df(x) = ForwardDiff.derivative(f, x)

# ╔═╡ 8a8e8fe1-ff46-4a31-b83a-4c53045a0009
x = rand()

# ╔═╡ b9ecb812-bff1-4a9d-942d-34d723a96a16
f(x) #Works

# ╔═╡ 3ca26bac-1506-4a19-8a4c-8851bcc635c3
df(x) #Works

# ╔═╡ 86d3fd16-7a0b-4d35-b916-a033c1f0da54
g = gradient(() -> sum(df(x)), Flux.params(f))

# ╔═╡ f1db1660-2e40-4665-b8a3-97e1f6713c5a
with_terminal() do
	for a in g
		println(a)
	end
end

# ╔═╡ 04e0b40c-5dd7-4bf5-93df-7119ede88109
begin
	
    # 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),)

end

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
DiffEqFlux = "aae7a2af-3d4f-5e19-a356-7da93b79d9d0"
Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c"
ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
ZygoteRules = "700de1a5-db45-46bc-99cf-38207098b444"

[compat]
DiffEqFlux = "~1.44.0"
Flux = "~0.12.8"
ForwardDiff = "~0.10.21"
PlutoUI = "~0.7.17"
Symbolics = "~3.5.1"
ZygoteRules = "~0.2.2"
"""

# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
# This file is machine-generated - editing it directly is not advised

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[[StableRNGs]]
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[[StatsBase]]
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[[StatsFuns]]
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[[TableTraits]]
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[[Tar]]
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[[TermInterface]]
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[[UUIDs]]
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[[UnPack]]
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[[WoodburyMatrices]]
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[[Zlib_jll]]
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[[Zygote]]
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[[ZygoteRules]]
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[[nghttp2_jll]]
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[[p7zip_jll]]
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"""

# ╔═╡ Cell order:
# ╠═2f3c99fc-3c06-11ec-2eaf-ad9208fede3f
# ╠═cb0355a2-b224-4f62-9588-a2b797b6d224
# ╠═f3e9ba85-9eba-4b7d-aa60-cc5d9887bcbd
# ╠═8a8e8fe1-ff46-4a31-b83a-4c53045a0009
# ╠═b9ecb812-bff1-4a9d-942d-34d723a96a16
# ╠═3ca26bac-1506-4a19-8a4c-8851bcc635c3
# ╠═86d3fd16-7a0b-4d35-b916-a033c1f0da54
# ╠═f1db1660-2e40-4665-b8a3-97e1f6713c5a
# ╠═04e0b40c-5dd7-4bf5-93df-7119ede88109
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002
