diff --git a/2024-11-14_Overview_of_the_Julia_AD_ecosystem/Manifest.toml b/2024-11-14_Overview_of_the_Julia_AD_ecosystem/Manifest.toml new file mode 100644 index 0000000..1d71d3a --- /dev/null +++ b/2024-11-14_Overview_of_the_Julia_AD_ecosystem/Manifest.toml @@ -0,0 +1,353 @@ +# This file is machine-generated - editing it directly is not advised + +julia_version = "1.10.6" +manifest_format = "2.0" +project_hash = "33308c26aeaf88935c476becd75fdb6db775d1fc" + +[[deps.ArgTools]] +uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" +version = "1.1.1" + +[[deps.Artifacts]] +uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" + +[[deps.Base64]] +uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" + +[[deps.BitFlags]] +git-tree-sha1 = "0691e34b3bb8be9307330f88d1a3c3f25466c24d" +uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35" +version = "0.1.9" + +[[deps.CodecZlib]] +deps = ["TranscodingStreams", "Zlib_jll"] +git-tree-sha1 = "bce6804e5e6044c6daab27bb533d1295e4a2e759" +uuid = "944b1d66-785c-5afd-91f1-9de20f533193" +version = "0.7.6" + +[[deps.ConcurrentUtilities]] +deps = ["Serialization", "Sockets"] +git-tree-sha1 = "ea32b83ca4fefa1768dc84e504cc0a94fb1ab8d1" +uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb" +version = "2.4.2" + +[[deps.Configurations]] +deps = ["ExproniconLite", "OrderedCollections", "TOML"] +git-tree-sha1 = "4358750bb58a3caefd5f37a4a0c5bfdbbf075252" +uuid = "5218b696-f38b-4ac9-8b61-a12ec717816d" +version = "0.17.6" + +[[deps.DataAPI]] +git-tree-sha1 = "abe83f3a2f1b857aac70ef8b269080af17764bbe" +uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a" +version = "1.16.0" + +[[deps.DataValueInterfaces]] +git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6" +uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464" +version = "1.0.0" + +[[deps.Dates]] +deps = ["Printf"] +uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" + +[[deps.Distributed]] +deps = ["Random", "Serialization", "Sockets"] +uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b" + +[[deps.Downloads]] +deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"] +uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6" +version = "1.6.0" + +[[deps.ExceptionUnwrapping]] +deps = ["Test"] +git-tree-sha1 = "dcb08a0d93ec0b1cdc4af184b26b591e9695423a" +uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4" +version = "0.1.10" + +[[deps.ExpressionExplorer]] +git-tree-sha1 = "7005f1493c18afb2fa3bdf06e02b16a9fde5d16d" +uuid = "21656369-7473-754a-2065-74616d696c43" +version = "1.1.0" + +[[deps.ExproniconLite]] +git-tree-sha1 = "4c9ed87a6b3cd90acf24c556f2119533435ded38" +uuid = "55351af7-c7e9-48d6-89ff-24e801d99491" +version = "0.10.13" + +[[deps.FileWatching]] +uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee" + +[[deps.FuzzyCompletions]] +deps = ["REPL"] +git-tree-sha1 = "be713866335f48cfb1285bff2d0cbb8304c1701c" +uuid = "fb4132e2-a121-4a70-b8a1-d5b831dcdcc2" +version = "0.5.5" + +[[deps.HTTP]] +deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"] +git-tree-sha1 = "1336e07ba2eb75614c99496501a8f4b233e9fafe" +uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3" +version = "1.10.10" + +[[deps.HypertextLiteral]] +deps = ["Tricks"] +git-tree-sha1 = "7134810b1afce04bbc1045ca1985fbe81ce17653" +uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2" +version = "0.9.5" + +[[deps.InteractiveUtils]] +deps = ["Markdown"] +uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240" + +[[deps.IteratorInterfaceExtensions]] +git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856" +uuid = "82899510-4779-5014-852e-03e436cf321d" +version = "1.0.0" + +[[deps.JLLWrappers]] +deps = ["Artifacts", "Preferences"] +git-tree-sha1 = "be3dc50a92e5a386872a493a10050136d4703f9b" +uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210" +version = "1.6.1" + +[[deps.LazilyInitializedFields]] +git-tree-sha1 = "0f2da712350b020bc3957f269c9caad516383ee0" +uuid = "0e77f7df-68c5-4e49-93ce-4cd80f5598bf" +version = "1.3.0" + +[[deps.LibCURL]] +deps = ["LibCURL_jll", "MozillaCACerts_jll"] +uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21" +version = "0.6.4" + +[[deps.LibCURL_jll]] +deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"] +uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0" +version = "8.4.0+0" + +[[deps.LibGit2]] +deps = ["Base64", "LibGit2_jll", "NetworkOptions", "Printf", "SHA"] +uuid = "76f85450-5226-5b5a-8eaa-529ad045b433" + +[[deps.LibGit2_jll]] +deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll"] +uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5" +version = "1.6.4+0" + +[[deps.LibSSH2_jll]] +deps = ["Artifacts", "Libdl", "MbedTLS_jll"] +uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8" +version = "1.11.0+1" + +[[deps.Libdl]] +uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb" + +[[deps.Logging]] +uuid = "56ddb016-857b-54e1-b83d-db4d58db5568" + +[[deps.LoggingExtras]] +deps = ["Dates", "Logging"] +git-tree-sha1 = "f02b56007b064fbfddb4c9cd60161b6dd0f40df3" +uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36" +version = "1.1.0" + +[[deps.MIMEs]] +git-tree-sha1 = "65f28ad4b594aebe22157d6fac869786a255b7eb" +uuid = "6c6e2e6c-3030-632d-7369-2d6c69616d65" +version = "0.1.4" + +[[deps.Malt]] +deps = ["Distributed", "Logging", "RelocatableFolders", "Serialization", "Sockets"] +git-tree-sha1 = "02a728ada9d6caae583a0f87c1dd3844f99ec3fd" +uuid = "36869731-bdee-424d-aa32-cab38c994e3b" +version = "1.1.2" + +[[deps.Markdown]] +deps = ["Base64"] +uuid = "d6f4376e-aef5-505a-96c1-9c027394607a" + +[[deps.MbedTLS]] +deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "NetworkOptions", "Random", "Sockets"] +git-tree-sha1 = "c067a280ddc25f196b5e7df3877c6b226d390aaf" +uuid = "739be429-bea8-5141-9913-cc70e7f3736d" +version = "1.1.9" + +[[deps.MbedTLS_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1" +version = "2.28.2+1" + +[[deps.MozillaCACerts_jll]] +uuid = "14a3606d-f60d-562e-9121-12d972cd8159" +version = "2023.1.10" + +[[deps.MsgPack]] +deps = ["Serialization"] +git-tree-sha1 = "f5db02ae992c260e4826fe78c942954b48e1d9c2" +uuid = "99f44e22-a591-53d1-9472-aa23ef4bd671" +version = "1.2.1" + +[[deps.NetworkOptions]] +uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908" +version = "1.2.0" + +[[deps.OpenSSL]] +deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"] +git-tree-sha1 = "38cb508d080d21dc1128f7fb04f20387ed4c0af4" +uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c" +version = "1.4.3" + +[[deps.OpenSSL_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "7493f61f55a6cce7325f197443aa80d32554ba10" +uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95" +version = "3.0.15+1" + +[[deps.OrderedCollections]] +git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5" +uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" +version = "1.6.3" + +[[deps.Pkg]] +deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"] +uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" +version = "1.10.0" + +[[deps.Pluto]] +deps = ["Base64", "Configurations", "Dates", "Downloads", "ExpressionExplorer", "FileWatching", "FuzzyCompletions", "HTTP", "HypertextLiteral", "InteractiveUtils", "Logging", "LoggingExtras", "MIMEs", "Malt", "Markdown", "MsgPack", "Pkg", "PlutoDependencyExplorer", "PrecompileSignatures", "PrecompileTools", "REPL", "RegistryInstances", "RelocatableFolders", "Scratch", "Sockets", "TOML", "Tables", "URIs", "UUIDs"] +git-tree-sha1 = "3d97d067ea3d04f51821ac86b0d04024fe6e4df8" +uuid = "c3e4b0f8-55cb-11ea-2926-15256bba5781" +version = "0.20.3" + +[[deps.PlutoDependencyExplorer]] +deps = ["ExpressionExplorer", "InteractiveUtils", "Markdown"] +git-tree-sha1 = "592470bdf383cd34e88a21bbd7f1f7ffc52a21c6" +uuid = "72656b73-756c-7461-726b-72656b6b696b" +version = "1.1.0" + +[[deps.PrecompileSignatures]] +git-tree-sha1 = "18ef344185f25ee9d51d80e179f8dad33dc48eb1" +uuid = "91cefc8d-f054-46dc-8f8c-26e11d7c5411" +version = "3.0.3" + +[[deps.PrecompileTools]] +deps = ["Preferences"] +git-tree-sha1 = "5aa36f7049a63a1528fe8f7c3f2113413ffd4e1f" +uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a" +version = "1.2.1" + +[[deps.Preferences]] +deps = ["TOML"] +git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6" +uuid = "21216c6a-2e73-6563-6e65-726566657250" +version = "1.4.3" + +[[deps.Printf]] +deps = ["Unicode"] +uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" + +[[deps.REPL]] +deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"] +uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb" + +[[deps.Random]] +deps = ["SHA"] +uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" + +[[deps.RegistryInstances]] +deps = ["LazilyInitializedFields", "Pkg", "TOML", "Tar"] +git-tree-sha1 = "ffd19052caf598b8653b99404058fce14828be51" +uuid = "2792f1a3-b283-48e8-9a74-f99dce5104f3" +version = "0.1.0" + +[[deps.RelocatableFolders]] +deps = ["SHA", "Scratch"] +git-tree-sha1 = "ffdaf70d81cf6ff22c2b6e733c900c3321cab864" +uuid = "05181044-ff0b-4ac5-8273-598c1e38db00" +version = "1.0.1" + +[[deps.SHA]] +uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce" +version = "0.7.0" + +[[deps.Scratch]] +deps = ["Dates"] +git-tree-sha1 = "3bac05bc7e74a75fd9cba4295cde4045d9fe2386" +uuid = "6c6a2e73-6563-6170-7368-637461726353" +version = "1.2.1" + +[[deps.Serialization]] +uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" + +[[deps.SimpleBufferStream]] +git-tree-sha1 = "f305871d2f381d21527c770d4788c06c097c9bc1" +uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7" +version = "1.2.0" + +[[deps.Sockets]] +uuid = "6462fe0b-24de-5631-8697-dd941f90decc" + +[[deps.TOML]] +deps = ["Dates"] +uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76" +version = "1.0.3" + +[[deps.TableTraits]] +deps = ["IteratorInterfaceExtensions"] +git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39" +uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c" +version = "1.0.1" + +[[deps.Tables]] +deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "OrderedCollections", "TableTraits"] +git-tree-sha1 = "598cd7c1f68d1e205689b1c2fe65a9f85846f297" +uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c" +version = "1.12.0" + +[[deps.Tar]] +deps = ["ArgTools", "SHA"] +uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e" +version = "1.10.0" + +[[deps.Test]] +deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] +uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" + +[[deps.TranscodingStreams]] +git-tree-sha1 = "0c45878dcfdcfa8480052b6ab162cdd138781742" +uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa" +version = "0.11.3" + +[[deps.Tricks]] +git-tree-sha1 = "7822b97e99a1672bfb1b49b668a6d46d58d8cbcb" +uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775" +version = "0.1.9" + +[[deps.URIs]] +git-tree-sha1 = "67db6cc7b3821e19ebe75791a9dd19c9b1188f2b" +uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4" +version = "1.5.1" + +[[deps.UUIDs]] +deps = ["Random", "SHA"] +uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4" + +[[deps.Unicode]] +uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" + +[[deps.Zlib_jll]] +deps = ["Libdl"] +uuid = "83775a58-1f1d-513f-b197-d71354ab007a" +version = "1.2.13+1" + +[[deps.nghttp2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" +version = "1.52.0+1" + +[[deps.p7zip_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" +version = "17.4.0+2" diff --git a/2024-11-14_Overview_of_the_Julia_AD_ecosystem/Project.toml b/2024-11-14_Overview_of_the_Julia_AD_ecosystem/Project.toml new file mode 100644 index 0000000..c39603e --- /dev/null +++ b/2024-11-14_Overview_of_the_Julia_AD_ecosystem/Project.toml @@ -0,0 +1,2 @@ +[deps] +Pluto = "c3e4b0f8-55cb-11ea-2926-15256bba5781" diff --git a/2024-11-14_Overview_of_the_Julia_AD_ecosystem/notebook.jl b/2024-11-14_Overview_of_the_Julia_AD_ecosystem/notebook.jl new file mode 100644 index 0000000..6c151b9 --- /dev/null +++ b/2024-11-14_Overview_of_the_Julia_AD_ecosystem/notebook.jl @@ -0,0 +1,2583 @@ +### A Pluto.jl notebook ### +# v0.20.3 + +using Markdown +using InteractiveUtils + +# ╔═╡ ff3e2520-cf49-41ad-b39e-9b93454fb62c +begin + using PlutoUI + using PlutoUI: Slider # since Makie exports Slider, too + using ShortCodes +end + +# ╔═╡ c8597eb3-8e7c-4a6a-8334-2f490e80cb40 +begin + using CairoMakie + set_theme!(theme_latexfonts(); + fontsize = 16, + Lines = (linewidth = 2,), + markersize = 16) +end + +# ╔═╡ 6c560e93-df6a-4084-abcf-21babcc0eba1 +begin + using Symbolics + using ForwardDiff + using Enzyme + using DifferentiationInterface +end + +# ╔═╡ e344fb09-e6d4-4c29-96f5-f0eea1ce8f27 +begin + using LinearAlgebra +end + +# ╔═╡ 59289961-9ee7-4ecd-88c2-68f43d581461 +using SymPy + +# ╔═╡ 0d964d8a-a1cc-11ef-109a-355df4ce1d5b +md""" +# Overview of the Julia AD ecosystem +*Julia User Group -- 2024-11-14* + +Last week Hendrik introduced AD to us using a custom data-type `MyDual`. +""" + +# ╔═╡ 57b5a9da-1753-476b-822f-9245f84957f3 +begin + struct MyDual{T <: Real} <: Number + value::T + deriv::T + end + MyDual(x::Real, y::Real) = MyDual(promote(x, y)...) + + Base.:+(x::MyDual, y::MyDual) = MyDual(x.value + y.value, x.deriv + y.deriv) + Base.:-(x::MyDual, y::MyDual) = MyDual(x.value - y.value, x.deriv - y.deriv) + function Base.:*(x::MyDual, y::MyDual) + MyDual(x.value * y.value, x.value * y.deriv + x.deriv * y.value) + end + function Base.:/(x::MyDual, y::MyDual) + MyDual(x.value / y.value, (x.deriv * y.value - x.value * y.deriv) / y.value^2) + end + Base.convert(::Type{MyDual{T}}, x::Real) where {T <: Real} = MyDual(x, zero(T)) + Base.promote_rule(::Type{MyDual{T}}, ::Type{<:Real}) where {T <: Real} = MyDual{T} +end + +# ╔═╡ dd43e033-091b-4390-ae16-0764ce392c4c +md""" +## Babylonian sqrt (Heron's method) + +I would like to use a simple example, computation of `sqrt(x)`, where for me how autodiff works came as both a mathematical surprise, and a computing wonder. The example is the Babylonian algorithm, known to man for millenia, to compute `sqrt(x)`: + +> Repeat $t \leftarrow (t + x/t)/2$ until $t$ converges to $\sqrt{x}$ + +Each iteration has one add and two divides. For illustration purposes, 10 iterations suffice. +""" + +# ╔═╡ c4a5f9a7-4e7d-4245-b6cb-64bf46f114f7 +function Babylonian(x; N = 10) + t = (1 + x) / 2 + for i in 2:N + t = (t + x/t) / 2 + end + t +end + +# ╔═╡ b06c0fa4-c8b4-4119-97c3-b64890564249 +Babylonian(100.0) + +# ╔═╡ 001ed31c-397b-4bb0-858d-69b1835ff775 +Babylonian(MyDual(100.0, 1.0)) + +# ╔═╡ 8881a438-fcaa-4fce-91bd-cdb176c87b72 +let + @variables x + Symbolics.derivative(Babylonian(x, N=2), x; simplify = true) +end + +# ╔═╡ 339bc99a-3c59-4c25-bce8-2964a20641b9 +let + @variables x + substitute( + Symbolics.derivative(Babylonian(x, N=10), x; simplify = false), + Dict(x => 100.0) + ) +end + +# ╔═╡ 73e4c26f-a722-49c0-b5b8-a4c98daf14e6 +let + SymPy.@syms x + SymPy.diff(Babylonian(x, N=2), x) +end + +# ╔═╡ ba2c4083-c60a-40c6-a64f-53d5a041eaa9 +let + SymPy.@syms x + SymPy.diff(Babylonian(x, N=10), x)(100.0) +end + +# ╔═╡ a321d433-b07d-44a5-9558-129d0a50a510 +md""" +## Pitfalls of AD + +1. Where does this approach fail +2. Brief introduction to Enzyme +""" + +# ╔═╡ 1efbc3f7-f622-449d-96ba-86a521ad9ada +md""" +### Operator overload approaches + +1. Fail on overly tight type-constraints +2. Mixing types +3. Pertubation-confusion + +#### Type-constraints +""" + +# ╔═╡ 7e83fe6d-77e0-4720-b71b-4ae9289aae98 +f(x::Float64) = x^2 + +# ╔═╡ 20be835a-bda9-4388-8260-8991f59f02a2 +f(MyDual(2.0, 1.0)) + +# ╔═╡ 4a923597-c0c5-405e-807e-31558f44fb5e +ForwardDiff.derivative(f, 2.0) + +# ╔═╡ f2771f56-e3e4-4828-bab3-f163b305f5bc +md""" +#### Mixing of types +""" + +# ╔═╡ ab395297-79c8-4a37-96bd-bd3e421500bd +function g(x) + A = zeros(2, 2) + A[1,1] = x + A[2,2] = x + det(A) +end + +# ╔═╡ 97497d1f-b03b-4c2b-9638-510465b17154 +g(MyDual(2.0, 1.0)) + +# ╔═╡ 330b23f7-e03a-42f4-b665-7450821a69b0 +ForwardDiff.derivative(g, 2.0) + +# ╔═╡ bdf383c4-718c-4cce-a6bc-c02cf97e0f84 +md""" +### Pertubation confusion + +Higher-order AD + +```julia + D = ForwardDiff.derivative + D(x -> x * D(y -> x + y, 1), 1) +``` +""" + +# ╔═╡ 088f0afd-ecb5-4750-b586-681eac1d9350 +O = let + @variables x, y + D_x = Symbolics.Differential(x) + D_y = Symbolics.Differential(y) + D_x(x*D_y(x+y)) +end + +# ╔═╡ 876e0c57-9904-4008-a8fd-ac0cbc1ec11a +expand_derivatives(O) + +# ╔═╡ 670107ff-d32e-4e31-8840-67e47fa0e85b +let + D = ForwardDiff.derivative + D(x -> x * D(y -> x + y, 1), 1) # Should be 1 +end + +# ╔═╡ b115ea72-e13c-48eb-98ad-1c91d95b178d +let + D(f, x) = (f(MyDual(x, one(x)))::MyDual).deriv + D(x -> x * D(y -> x + y, 1), 1) # Should be 1 +end + +# ╔═╡ 7dd64f86-e4b6-42de-9272-df8c3c688ef0 +md""" +Solution to these problems is "compiler-based"/"source-to-source" AD + +## Enzyme +""" + +# ╔═╡ 39fd3dd0-3e05-45c9-a4c2-d8fd4ec602d0 +Enzyme.gradient(Forward, f, 2.0) + +# ╔═╡ 59b719a7-7edf-458e-92d6-9b848861ce06 +Enzyme.gradient(Forward, g, 2.0) + +# ╔═╡ 60685aab-5ab5-459a-976b-814a141384fe +let + D(f, x) = Enzyme.gradient(Forward, f, x)[1] + D(x -> x * D(y -> x + y, 1.0), 1.0) # Should be 1 +end + +# ╔═╡ 39df497b-82c8-4219-924e-0742eea51ec4 +md""" +### Directional derivative +""" + +# ╔═╡ 178e6fb3-c9b8-44bd-9806-758e98a46906 +F(x, y, z) = (x*y*z, x*y/z) + +# ╔═╡ 7b9e3c1b-a593-4d50-83e5-449cab7d3867 +autodiff(Forward, F, + Duplicated(1.0, 1.0), Duplicated(2.0, 0.0), Duplicated(3.0, 0.0)) |> only + +# ╔═╡ 422aa7e2-8a5d-4d73-9584-3d7655f11842 +autodiff(Forward, F, + Duplicated(1.0, 0.0), Duplicated(2.0, 1.0), Duplicated(3.0, 0.0)) |> only + +# ╔═╡ 0301d990-9142-4d89-ab72-583ce707ce41 +autodiff(Forward, F, + Duplicated(1.0, 0.0), Duplicated(2.0, 0.0), Duplicated(3.0, 1.0)) |> only + +# ╔═╡ 6b7c3ab9-460f-4368-8532-b0d8f12279f7 +begin + function G!(Y, X) + Y[1] = X[1] * X[2] * X[3] + Y[2] = X[1] * X[2] / X[3] + nothing + end + function G(X) + Y = zeros(2) + G!(Y, X) + Y + end +end + +# ╔═╡ 91e9a6e8-2459-420a-bb31-9ee2c008aa8a +begin + u = [1.0, 2.0, 3.0] + dir = [1.0, 0.0, 0.0] +end + +# ╔═╡ 64412ac5-df42-4a57-8324-799d6e3925ad +autodiff(Forward, G, Duplicated(u, dir)) |> only + +# ╔═╡ 381f2979-7fd0-4ba4-8d38-61cb2e361835 +J = Enzyme.jacobian(Forward, G, u) |> only + +# ╔═╡ e694bea1-e1f9-4bd2-bfb3-501c982e44c7 +w = rand(3) + +# ╔═╡ 868be1fd-a2d2-4d44-a292-97da72998296 +autodiff(Forward, G, Duplicated(u, w)) |> only + +# ╔═╡ 69c9e393-87b2-4748-b359-00b37cd152f0 +J*w + +# ╔═╡ 1e9dac04-6ec7-49b2-8ae7-290ab28f3bb6 +v = rand(2) + +# ╔═╡ 45e33145-8f1c-44f5-be60-51ea5d9464d4 +let + du = zero(u) + autodiff(Enzyme.Reverse, G!, DuplicatedNoNeed(zeros(2), v), + Duplicated(u, du)) + du +end + +# ╔═╡ 97347d5e-a2db-465c-adf1-44c5bde5ade0 +J'*v + +# ╔═╡ 20afce1f-add3-471f-b9d8-fba37608f94a +w2 = rand(3) + +# ╔═╡ 5c21aee8-37e1-4665-82b6-59e817386bee +autodiff(Forward, G, Duplicated(u, w2)) |> only + +# ╔═╡ 73a96d2a-3e59-4040-a848-1c187435a736 +# Linear combination +only(autodiff(Forward, G, Duplicated(u, w2 ./ norm(w2)))) .* norm(w2) + +# ╔═╡ e6476af8-dff1-41b5-9712-05aa21ca433b +md""" +### Enzyme Caveats +- Active data being stored in globals +- Active data stored in temporaries +""" + +# ╔═╡ 49ee9eac-2a7e-4f33-8902-b60f376907af +begin + const temp = zeros(3) + function use_temp(x) + temp[1] = x + sum(temp .* temp) + end +end + +# ╔═╡ 2beb6e6e-d72e-47b2-b64d-3a5df6c90b4f +autodiff(Enzyme.Reverse, use_temp, Active(1.0)) + +# ╔═╡ 8d2f5106-2970-40c8-afd1-f4ae3ac07bcb +autodiff(set_runtime_activity(Enzyme.Reverse), use_temp, Active(1.0)) # incorrect + +# ╔═╡ 5eba07ac-864c-4ac8-84c0-38e49af47530 +function use_temp2(x, tmp) + tmp[1] = x + sum(tmp .* tmp) +end + +# ╔═╡ 2dd7f550-e6b7-4d10-84e4-95d491360c7e +autodiff(Enzyme.Reverse, use_temp2, Active(1.0), Const(zeros(3))) + +# ╔═╡ af43c12e-1594-4f20-9341-65458b115e53 +autodiff(Enzyme.Reverse, use_temp2, Active(1.0), Duplicated(zeros(2), zeros(2))) + +# ╔═╡ 74c58c71-cd01-4960-a56d-fe2cfb767978 +function g2(cond, active_var, constant_var) + if cond + return active_var + else + return constant_var + end +end + +# ╔═╡ a3227caf-b00d-4b27-b6d9-eccad55007a3 +# Enzyme.autodiff(Forward, g2, Const(true), Duplicated(1.0, 1.0), Const(2)) + +# ╔═╡ 63eb995d-1481-4f97-a8c7-57c3471608a2 +md""" +and much more, see: https://enzymead.github.io/Enzyme.jl/stable/faq/ +""" + +# ╔═╡ 5bab2500-57d1-4fcb-ae5d-7b102932a2fb +md""" +### Other weird corner cases + +https://wires.onlinelibrary.wiley.com/doi/full/10.1002/widm.1555 + +""" + +# ╔═╡ b7693b28-5941-46ab-aa40-68803f97857c +autodiff(Forward, sin, Duplicated(0.0, 1.0)) |> only + +# ╔═╡ dbe46e98-ba3f-4dcd-a2da-a281615d488a +function sin_optimized(x) + if x == 0 + return zero(x) + else + sin(x) + end +end + +# ╔═╡ d7131a1a-2eeb-44f5-8caf-ed9778506109 +autodiff(Forward, sin_optimized, Duplicated(0.0, 1.0)) |> only +# oops + +# ╔═╡ 01fdd4fb-2b5a-4659-b89e-0de189e44cc8 +# order of operations matter +let dx = zeros(3) + autodiff(Enzyme.Reverse, maximum, Duplicated([1.0, 0.0, 1.0], dx)) + dx +end + +# ╔═╡ 6c3d83dc-a4d1-44e6-bbcd-6903d7fe3c0b +function maximuml(x) + acc = -Inf + for i in 1:length(x) + acc = max(acc, x[i]) + end + acc +end + +# ╔═╡ 1d1bf263-c137-4dc8-84c2-a90d216491e5 +function maximumr(x) + acc = -Inf + for i in length(x):-1:1 + acc = max(acc, x[i]) + end + acc +end + +# ╔═╡ 5425fe74-f406-4db1-a82a-6f11644d2498 +maximuml([1.0, 0.0, 1.0]) + +# ╔═╡ 6807d8bb-49e5-45fe-a42a-4a40b004cbd9 +let dx = zeros(3) + autodiff(Enzyme.Reverse, maximuml, Duplicated([1.0, 0.0, 1.0], dx)) + dx +end + +# ╔═╡ 1a97feb1-52b1-4705-bfc5-dbb2b1141d37 +maximumr([1.0, 0.0, 1.0]) + +# ╔═╡ dc3a34cf-0867-4e1a-a45f-9b44225a7d2c +let dx = zeros(3) + autodiff(Enzyme.Reverse, maximumr, Duplicated([1.0, 0.0, 1.0], dx)) + dx +end + +# ╔═╡ e71cd79d-97a1-49d7-b326-19217c8eec35 +md""" + +More information on Enzyme: https://dj4earth.github.io/MPE24/ +""" + +# ╔═╡ a518a63d-17ae-4496-b048-c61f66f05706 +md""" +### Topics not covered +- Checkpointing.jl +- DifferentiationInterface.jl +- Chainrules/EnzymeRules +- AD through parallelism +""" + +# ╔═╡ 00000000-0000-0000-0000-000000000001 +PLUTO_PROJECT_TOML_CONTENTS = """ +[deps] +CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" +DifferentiationInterface = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63" +Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9" +ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210" +LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" +PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" +ShortCodes = "f62ebe17-55c5-4640-972f-b59c0dd11ccf" +SymPy = "24249f21-da20-56a4-8eb1-6a02cf4ae2e6" +Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7" + +[compat] +CairoMakie = "~0.12.16" +DifferentiationInterface = "~0.6.22" +Enzyme = "~0.13.14" +ForwardDiff = "~0.10.38" +PlutoUI = "~0.7.60" +ShortCodes = "~0.3.6" +SymPy = "~2.2.0" +Symbolics = "~6.18.3" +""" + +# ╔═╡ 00000000-0000-0000-0000-000000000002 +PLUTO_MANIFEST_TOML_CONTENTS = """ +# This file is machine-generated - editing it directly is not advised + +julia_version = "1.10.6" +manifest_format = "2.0" +project_hash = "481adaeaef9bca65cad2f1278067a7aa38ca8261" + +[[deps.ADTypes]] +git-tree-sha1 = "eea5d80188827b35333801ef97a40c2ed653b081" +uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b" +version = "1.9.0" +weakdeps = ["ChainRulesCore", "EnzymeCore"] + + [deps.ADTypes.extensions] + ADTypesChainRulesCoreExt = "ChainRulesCore" + ADTypesEnzymeCoreExt = "EnzymeCore" + +[[deps.AbstractFFTs]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "d92ad398961a3ed262d8bf04a1a2b8340f915fef" +uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c" +version = "1.5.0" +weakdeps = ["ChainRulesCore", "Test"] + + [deps.AbstractFFTs.extensions] + AbstractFFTsChainRulesCoreExt = "ChainRulesCore" + AbstractFFTsTestExt = "Test" + +[[deps.AbstractPlutoDingetjes]] +deps = ["Pkg"] +git-tree-sha1 = "6e1d2a35f2f90a4bc7c2ed98079b2ba09c35b83a" +uuid = "6e696c72-6542-2067-7265-42206c756150" +version = "1.3.2" + +[[deps.AbstractTrees]] +git-tree-sha1 = "2d9c9a55f9c93e8887ad391fbae72f8ef55e1177" +uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c" +version = "0.4.5" + +[[deps.Accessors]] +deps = ["CompositionsBase", "ConstructionBase", "InverseFunctions", "LinearAlgebra", "MacroTools", "Markdown"] +git-tree-sha1 = "b392ede862e506d451fc1616e79aa6f4c673dab8" +uuid = "7d9f7c33-5ae7-4f3b-8dc6-eff91059b697" +version = "0.1.38" + + [deps.Accessors.extensions] + AccessorsAxisKeysExt = "AxisKeys" + AccessorsDatesExt = "Dates" + AccessorsIntervalSetsExt = "IntervalSets" + AccessorsStaticArraysExt = "StaticArrays" + AccessorsStructArraysExt = "StructArrays" + AccessorsTestExt = "Test" + AccessorsUnitfulExt = "Unitful" + + [deps.Accessors.weakdeps] + AxisKeys = "94b1ba4f-4ee9-5380-92f1-94cde586c3c5" + Dates = "ade2ca70-3891-5945-98fb-dc099432e06a" + IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953" + Requires = "ae029012-a4dd-5104-9daa-d747884805df" + StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" + StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a" + Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" + Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d" + +[[deps.Adapt]] +deps = ["LinearAlgebra", "Requires"] +git-tree-sha1 = "50c3c56a52972d78e8be9fd135bfb91c9574c140" +uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e" +version = "4.1.1" +weakdeps = ["StaticArrays"] + + [deps.Adapt.extensions] + AdaptStaticArraysExt = "StaticArrays" + +[[deps.AdaptivePredicates]] +git-tree-sha1 = "7e651ea8d262d2d74ce75fdf47c4d63c07dba7a6" +uuid = "35492f91-a3bd-45ad-95db-fcad7dcfedb7" +version = "1.2.0" + +[[deps.AliasTables]] +deps = ["PtrArrays", "Random"] +git-tree-sha1 = "9876e1e164b144ca45e9e3198d0b689cadfed9ff" +uuid = "66dad0bd-aa9a-41b7-9441-69ab47430ed8" +version = "1.1.3" + +[[deps.Animations]] +deps = ["Colors"] +git-tree-sha1 = "e81c509d2c8e49592413bfb0bb3b08150056c79d" +uuid = "27a7e980-b3e6-11e9-2bcd-0b925532e340" +version = "0.4.1" + +[[deps.ArgTools]] +uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" +version = "1.1.1" + +[[deps.ArrayInterface]] +deps = ["Adapt", "LinearAlgebra"] +git-tree-sha1 = "d60a1922358aa203019b7857a2c8c37329b8736c" +uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9" +version = "7.17.0" + + [deps.ArrayInterface.extensions] + ArrayInterfaceBandedMatricesExt = "BandedMatrices" + ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices" + ArrayInterfaceCUDAExt = "CUDA" + ArrayInterfaceCUDSSExt = "CUDSS" + ArrayInterfaceChainRulesCoreExt = "ChainRulesCore" + ArrayInterfaceChainRulesExt = "ChainRules" + ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore" + ArrayInterfaceReverseDiffExt = "ReverseDiff" + ArrayInterfaceSparseArraysExt = "SparseArrays" + ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore" + ArrayInterfaceTrackerExt = "Tracker" + + [deps.ArrayInterface.weakdeps] + BandedMatrices = "aae01518-5342-5314-be14-df237901396f" + BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0" + CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba" + CUDSS = "45b445bb-4962-46a0-9369-b4df9d0f772e" + ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2" + ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" + GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527" + ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267" + SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" + StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c" + Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c" + +[[deps.Artifacts]] +uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" + +[[deps.Automa]] +deps = ["PrecompileTools", "SIMD", "TranscodingStreams"] +git-tree-sha1 = "a8f503e8e1a5f583fbef15a8440c8c7e32185df2" +uuid = "67c07d97-cdcb-5c2c-af73-a7f9c32a568b" +version = "1.1.0" + +[[deps.AxisAlgorithms]] +deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"] +git-tree-sha1 = "01b8ccb13d68535d73d2b0c23e39bd23155fb712" +uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950" +version = "1.1.0" + +[[deps.AxisArrays]] +deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"] +git-tree-sha1 = "16351be62963a67ac4083f748fdb3cca58bfd52f" +uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9" +version = "0.4.7" + +[[deps.Base64]] +uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" + +[[deps.Bijections]] +git-tree-sha1 = "d8b0439d2be438a5f2cd68ec158fe08a7b2595b7" +uuid = "e2ed5e7c-b2de-5872-ae92-c73ca462fb04" +version = "0.1.9" + +[[deps.Bzip2_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "8873e196c2eb87962a2048b3b8e08946535864a1" +uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0" +version = "1.0.8+2" + +[[deps.CEnum]] +git-tree-sha1 = "389ad5c84de1ae7cf0e28e381131c98ea87d54fc" +uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82" +version = "0.5.0" + +[[deps.CRC32c]] +uuid = "8bf52ea8-c179-5cab-976a-9e18b702a9bc" + +[[deps.CRlibm_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "e329286945d0cfc04456972ea732551869af1cfc" +uuid = "4e9b3aee-d8a1-5a3d-ad8b-7d824db253f0" +version = "1.0.1+0" + +[[deps.Cairo]] +deps = ["Cairo_jll", "Colors", "Glib_jll", "Graphics", "Libdl", "Pango_jll"] +git-tree-sha1 = "71aa551c5c33f1a4415867fe06b7844faadb0ae9" +uuid = "159f3aea-2a34-519c-b102-8c37f9878175" +version = "1.1.1" + +[[deps.CairoMakie]] +deps = ["CRC32c", "Cairo", "Cairo_jll", "Colors", "FileIO", "FreeType", "GeometryBasics", "LinearAlgebra", "Makie", "PrecompileTools"] +git-tree-sha1 = "c3161fbfe99d9d7ee121cf2017d49966b152857c" +uuid = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" +version = "0.12.16" + +[[deps.Cairo_jll]] +deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"] +git-tree-sha1 = "009060c9a6168704143100f36ab08f06c2af4642" +uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a" +version = "1.18.2+1" + +[[deps.ChainRulesCore]] +deps = ["Compat", "LinearAlgebra"] +git-tree-sha1 = "3e4b134270b372f2ed4d4d0e936aabaefc1802bc" +uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" +version = "1.25.0" +weakdeps = ["SparseArrays"] + + [deps.ChainRulesCore.extensions] + ChainRulesCoreSparseArraysExt = "SparseArrays" + +[[deps.CodecZlib]] +deps = ["TranscodingStreams", "Zlib_jll"] +git-tree-sha1 = "bce6804e5e6044c6daab27bb533d1295e4a2e759" +uuid = "944b1d66-785c-5afd-91f1-9de20f533193" +version = "0.7.6" + +[[deps.ColorBrewer]] +deps = ["Colors", "JSON", "Test"] +git-tree-sha1 = "61c5334f33d91e570e1d0c3eb5465835242582c4" +uuid = "a2cac450-b92f-5266-8821-25eda20663c8" +version = "0.4.0" + +[[deps.ColorSchemes]] +deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"] +git-tree-sha1 = "c785dfb1b3bfddd1da557e861b919819b82bbe5b" +uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4" +version = "3.27.1" + +[[deps.ColorTypes]] +deps = ["FixedPointNumbers", "Random"] +git-tree-sha1 = "b10d0b65641d57b8b4d5e234446582de5047050d" +uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f" +version = "0.11.5" + +[[deps.ColorVectorSpace]] +deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "Requires", "Statistics", "TensorCore"] +git-tree-sha1 = "a1f44953f2382ebb937d60dafbe2deea4bd23249" +uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4" +version = "0.10.0" +weakdeps = ["SpecialFunctions"] + + [deps.ColorVectorSpace.extensions] + SpecialFunctionsExt = "SpecialFunctions" + +[[deps.Colors]] +deps = ["ColorTypes", "FixedPointNumbers", "Reexport"] +git-tree-sha1 = "362a287c3aa50601b0bc359053d5c2468f0e7ce0" +uuid = "5ae59095-9a9b-59fe-a467-6f913c188581" +version = "0.12.11" + +[[deps.Combinatorics]] +git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860" +uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa" +version = "1.0.2" + +[[deps.CommonEq]] +git-tree-sha1 = "6b0f0354b8eb954cdba708fb262ef00ee7274468" +uuid = "3709ef60-1bee-4518-9f2f-acd86f176c50" +version = "0.2.1" + +[[deps.CommonSolve]] +git-tree-sha1 = "0eee5eb66b1cf62cd6ad1b460238e60e4b09400c" +uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2" +version = "0.2.4" + +[[deps.CommonSubexpressions]] +deps = ["MacroTools"] +git-tree-sha1 = "cda2cfaebb4be89c9084adaca7dd7333369715c5" +uuid = "bbf7d656-a473-5ed7-a52c-81e309532950" +version = "0.3.1" + +[[deps.CommonWorldInvalidations]] +git-tree-sha1 = "ae52d1c52048455e85a387fbee9be553ec2b68d0" +uuid = "f70d9fcc-98c5-4d4a-abd7-e4cdeebd8ca8" +version = "1.0.0" + +[[deps.Compat]] +deps = ["TOML", "UUIDs"] +git-tree-sha1 = "8ae8d32e09f0dcf42a36b90d4e17f5dd2e4c4215" +uuid = "34da2185-b29b-5c13-b0c7-acf172513d20" +version = "4.16.0" +weakdeps = ["Dates", "LinearAlgebra"] + + [deps.Compat.extensions] + CompatLinearAlgebraExt = "LinearAlgebra" + +[[deps.CompilerSupportLibraries_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" +version = "1.1.1+0" + +[[deps.CompositeTypes]] +git-tree-sha1 = "bce26c3dab336582805503bed209faab1c279768" +uuid = "b152e2b5-7a66-4b01-a709-34e65c35f657" +version = "0.1.4" + +[[deps.CompositionsBase]] +git-tree-sha1 = "802bb88cd69dfd1509f6670416bd4434015693ad" +uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b" +version = "0.1.2" +weakdeps = ["InverseFunctions"] + + [deps.CompositionsBase.extensions] + CompositionsBaseInverseFunctionsExt = "InverseFunctions" + +[[deps.Conda]] +deps = ["Downloads", "JSON", "VersionParsing"] +git-tree-sha1 = "b19db3927f0db4151cb86d073689f2428e524576" +uuid = "8f4d0f93-b110-5947-807f-2305c1781a2d" +version = "1.10.2" + +[[deps.ConstructionBase]] +git-tree-sha1 = "76219f1ed5771adbb096743bff43fb5fdd4c1157" +uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9" +version = "1.5.8" +weakdeps = ["IntervalSets", "LinearAlgebra", "StaticArrays"] + + [deps.ConstructionBase.extensions] + ConstructionBaseIntervalSetsExt = "IntervalSets" + ConstructionBaseLinearAlgebraExt = "LinearAlgebra" + ConstructionBaseStaticArraysExt = "StaticArrays" + +[[deps.Contour]] +git-tree-sha1 = "439e35b0b36e2e5881738abc8857bd92ad6ff9a8" +uuid = "d38c429a-6771-53c6-b99e-75d170b6e991" +version = "0.6.3" + +[[deps.DataAPI]] +git-tree-sha1 = "abe83f3a2f1b857aac70ef8b269080af17764bbe" +uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a" +version = "1.16.0" + +[[deps.DataStructures]] +deps = ["Compat", "InteractiveUtils", "OrderedCollections"] +git-tree-sha1 = "1d0a14036acb104d9e89698bd408f63ab58cdc82" +uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8" +version = "0.18.20" + +[[deps.DataValueInterfaces]] +git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6" +uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464" +version = "1.0.0" + +[[deps.Dates]] +deps = ["Printf"] +uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" + +[[deps.DelaunayTriangulation]] +deps = ["AdaptivePredicates", "EnumX", "ExactPredicates", "PrecompileTools", "Random"] +git-tree-sha1 = "89df54fbe66e5872d91d8c2cd3a375f660c3fd64" +uuid = "927a84f5-c5f4-47a5-9785-b46e178433df" +version = "1.6.1" + +[[deps.DiffResults]] +deps = ["StaticArraysCore"] +git-tree-sha1 = "782dd5f4561f5d267313f23853baaaa4c52ea621" +uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5" +version = "1.1.0" + +[[deps.DiffRules]] +deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"] +git-tree-sha1 = "23163d55f885173722d1e4cf0f6110cdbaf7e272" +uuid = "b552c78f-8df3-52c6-915a-8e097449b14b" +version = "1.15.1" + +[[deps.DifferentiationInterface]] +deps = ["ADTypes", "LinearAlgebra"] +git-tree-sha1 = "0c99576d0b93df0aff1bed9d9adddef14e4e658f" +uuid = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63" +version = "0.6.22" + + [deps.DifferentiationInterface.extensions] + DifferentiationInterfaceChainRulesCoreExt = "ChainRulesCore" + DifferentiationInterfaceDiffractorExt = "Diffractor" + DifferentiationInterfaceEnzymeExt = "Enzyme" + DifferentiationInterfaceFastDifferentiationExt = "FastDifferentiation" + DifferentiationInterfaceFiniteDiffExt = "FiniteDiff" + DifferentiationInterfaceFiniteDifferencesExt = "FiniteDifferences" + DifferentiationInterfaceForwardDiffExt = "ForwardDiff" + DifferentiationInterfaceMooncakeExt = "Mooncake" + DifferentiationInterfacePolyesterForwardDiffExt = "PolyesterForwardDiff" + DifferentiationInterfaceReverseDiffExt = "ReverseDiff" + DifferentiationInterfaceSparseArraysExt = "SparseArrays" + DifferentiationInterfaceSparseMatrixColoringsExt = "SparseMatrixColorings" + DifferentiationInterfaceStaticArraysExt = "StaticArrays" + DifferentiationInterfaceSymbolicsExt = "Symbolics" + DifferentiationInterfaceTrackerExt = "Tracker" + DifferentiationInterfaceZygoteExt = ["Zygote", "ForwardDiff"] + + [deps.DifferentiationInterface.weakdeps] + ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" + Diffractor = "9f5e2b26-1114-432f-b630-d3fe2085c51c" + Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9" + FastDifferentiation = "eb9bf01b-bf85-4b60-bf87-ee5de06c00be" + FiniteDiff = "6a86dc24-6348-571c-b903-95158fe2bd41" + FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000" + ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210" + Mooncake = "da2b9cff-9c12-43a0-ae48-6db2b0edb7d6" + PolyesterForwardDiff = "98d1487c-24ca-40b6-b7ab-df2af84e126b" + ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267" + SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" + SparseMatrixColorings = "0a514795-09f3-496d-8182-132a7b665d35" + StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" + Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7" + Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c" + Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f" + +[[deps.Distributed]] +deps = ["Random", "Serialization", "Sockets"] +uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b" + +[[deps.Distributions]] +deps = ["AliasTables", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"] +git-tree-sha1 = "3101c32aab536e7a27b1763c0797dba151b899ad" +uuid = "31c24e10-a181-5473-b8eb-7969acd0382f" +version = "0.25.113" + + [deps.Distributions.extensions] + DistributionsChainRulesCoreExt = "ChainRulesCore" + DistributionsDensityInterfaceExt = "DensityInterface" + DistributionsTestExt = "Test" + + [deps.Distributions.weakdeps] + ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" + DensityInterface = "b429d917-457f-4dbc-8f4c-0cc954292b1d" + Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" + +[[deps.DocStringExtensions]] +deps = ["LibGit2"] +git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d" +uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae" +version = "0.9.3" + +[[deps.DomainSets]] +deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "Random", "StaticArrays"] +git-tree-sha1 = "490392af2c7d63183bfa2c8aaa6ab981c5ba7561" +uuid = "5b8099bc-c8ec-5219-889f-1d9e522a28bf" +version = "0.7.14" +weakdeps = ["Makie"] + + [deps.DomainSets.extensions] + DomainSetsMakieExt = "Makie" + +[[deps.Downloads]] +deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"] +uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6" +version = "1.6.0" + +[[deps.DynamicPolynomials]] +deps = ["Future", "LinearAlgebra", "MultivariatePolynomials", "MutableArithmetics", "Reexport", "Test"] +git-tree-sha1 = "bbf1ace0781d9744cb697fb856bd2c3f6568dadb" +uuid = "7c1d4256-1411-5781-91ec-d7bc3513ac07" +version = "0.6.0" + +[[deps.EarCut_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "e3290f2d49e661fbd94046d7e3726ffcb2d41053" +uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5" +version = "2.2.4+0" + +[[deps.EnumX]] +git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237" +uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56" +version = "1.0.4" + +[[deps.Enzyme]] +deps = ["CEnum", "EnzymeCore", "Enzyme_jll", "GPUCompiler", "LLVM", "Libdl", "LinearAlgebra", "ObjectFile", "Preferences", "Printf", "Random", "SparseArrays"] +git-tree-sha1 = "136f590cfed1c25b956fedc6a4d77342e3d4eaa3" +uuid = "7da242da-08ed-463a-9acd-ee780be4f1d9" +version = "0.13.14" + + [deps.Enzyme.extensions] + EnzymeBFloat16sExt = "BFloat16s" + EnzymeChainRulesCoreExt = "ChainRulesCore" + EnzymeLogExpFunctionsExt = "LogExpFunctions" + EnzymeSpecialFunctionsExt = "SpecialFunctions" + EnzymeStaticArraysExt = "StaticArrays" + + [deps.Enzyme.weakdeps] + BFloat16s = "ab4f0b2a-ad5b-11e8-123f-65d77653426b" + ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" + LogExpFunctions = "2ab3a3ac-af41-5b50-aa03-7779005ae688" + SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b" + StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" + +[[deps.EnzymeCore]] +git-tree-sha1 = "e333ffd38ecffcf5c6c2dafd10788404ac46fb9f" +uuid = "f151be2c-9106-41f4-ab19-57ee4f262869" +version = "0.8.6" +weakdeps = ["Adapt"] + + [deps.EnzymeCore.extensions] + AdaptExt = "Adapt" + +[[deps.Enzyme_jll]] +deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl", "TOML"] +git-tree-sha1 = "dec17951c0ba91ef723dc71c7687e60398125226" +uuid = "7cc45869-7501-5eee-bdea-0790c847d4ef" +version = "0.0.163+0" + +[[deps.ExactPredicates]] +deps = ["IntervalArithmetic", "Random", "StaticArrays"] +git-tree-sha1 = "b3f2ff58735b5f024c392fde763f29b057e4b025" +uuid = "429591f6-91af-11e9-00e2-59fbe8cec110" +version = "2.2.8" + +[[deps.Expat_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "1c6317308b9dc757616f0b5cb379db10494443a7" +uuid = "2e619515-83b5-522b-bb60-26c02a35a201" +version = "2.6.2+0" + +[[deps.ExprTools]] +git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec" +uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04" +version = "0.1.10" + +[[deps.Expronicon]] +deps = ["MLStyle", "Pkg", "TOML"] +git-tree-sha1 = "fc3951d4d398b5515f91d7fe5d45fc31dccb3c9b" +uuid = "6b7a57c9-7cc1-4fdf-b7f5-e857abae3636" +version = "0.8.5" + +[[deps.Extents]] +git-tree-sha1 = "81023caa0021a41712685887db1fc03db26f41f5" +uuid = "411431e0-e8b7-467b-b5e0-f676ba4f2910" +version = "0.1.4" + +[[deps.FFMPEG_jll]] +deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "PCRE2_jll", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"] +git-tree-sha1 = "8cc47f299902e13f90405ddb5bf87e5d474c0d38" +uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5" +version = "6.1.2+0" + +[[deps.FFTW]] +deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"] +git-tree-sha1 = "4820348781ae578893311153d69049a93d05f39d" +uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341" +version = "1.8.0" + +[[deps.FFTW_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "4d81ed14783ec49ce9f2e168208a12ce1815aa25" +uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a" +version = "3.3.10+1" + +[[deps.FileIO]] +deps = ["Pkg", "Requires", "UUIDs"] +git-tree-sha1 = "91e0e5c68d02bcdaae76d3c8ceb4361e8f28d2e9" +uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549" +version = "1.16.5" + +[[deps.FilePaths]] +deps = ["FilePathsBase", "MacroTools", "Reexport", "Requires"] +git-tree-sha1 = "919d9412dbf53a2e6fe74af62a73ceed0bce0629" +uuid = "8fc22ac5-c921-52a6-82fd-178b2807b824" +version = "0.8.3" + +[[deps.FilePathsBase]] +deps = ["Compat", "Dates"] +git-tree-sha1 = "7878ff7172a8e6beedd1dea14bd27c3c6340d361" +uuid = "48062228-2e41-5def-b9a4-89aafe57970f" +version = "0.9.22" +weakdeps = ["Mmap", "Test"] + + [deps.FilePathsBase.extensions] + FilePathsBaseMmapExt = "Mmap" + FilePathsBaseTestExt = "Test" + +[[deps.FileWatching]] +uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee" + +[[deps.FillArrays]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "6a70198746448456524cb442b8af316927ff3e1a" +uuid = "1a297f60-69ca-5386-bcde-b61e274b549b" +version = "1.13.0" +weakdeps = ["PDMats", "SparseArrays", "Statistics"] + + [deps.FillArrays.extensions] + FillArraysPDMatsExt = "PDMats" + FillArraysSparseArraysExt = "SparseArrays" + FillArraysStatisticsExt = "Statistics" + +[[deps.FixedPointNumbers]] +deps = ["Statistics"] +git-tree-sha1 = "05882d6995ae5c12bb5f36dd2ed3f61c98cbb172" +uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93" +version = "0.8.5" + +[[deps.Fontconfig_jll]] +deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Zlib_jll"] +git-tree-sha1 = "db16beca600632c95fc8aca29890d83788dd8b23" +uuid = "a3f928ae-7b40-5064-980b-68af3947d34b" +version = "2.13.96+0" + +[[deps.Format]] +git-tree-sha1 = "9c68794ef81b08086aeb32eeaf33531668d5f5fc" +uuid = "1fa38f19-a742-5d3f-a2b9-30dd87b9d5f8" +version = "1.3.7" + +[[deps.ForwardDiff]] +deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"] +git-tree-sha1 = "a2df1b776752e3f344e5116c06d75a10436ab853" +uuid = "f6369f11-7733-5829-9624-2563aa707210" +version = "0.10.38" +weakdeps = ["StaticArrays"] + + [deps.ForwardDiff.extensions] + ForwardDiffStaticArraysExt = "StaticArrays" + +[[deps.FreeType]] +deps = ["CEnum", "FreeType2_jll"] +git-tree-sha1 = "907369da0f8e80728ab49c1c7e09327bf0d6d999" +uuid = "b38be410-82b0-50bf-ab77-7b57e271db43" +version = "4.1.1" + +[[deps.FreeType2_jll]] +deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Zlib_jll"] +git-tree-sha1 = "5c1d8ae0efc6c2e7b1fc502cbe25def8f661b7bc" +uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7" +version = "2.13.2+0" + +[[deps.FreeTypeAbstraction]] +deps = ["ColorVectorSpace", "Colors", "FreeType", "GeometryBasics"] +git-tree-sha1 = "77e2b094e61d939f9626181ab23d0b76e78f9fd3" +uuid = "663a7486-cb36-511b-a19d-713bb74d65c9" +version = "0.10.5" + +[[deps.FriBidi_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "1ed150b39aebcc805c26b93a8d0122c940f64ce2" +uuid = "559328eb-81f9-559d-9380-de523a88c83c" +version = "1.0.14+0" + +[[deps.FunctionWrappers]] +git-tree-sha1 = "d62485945ce5ae9c0c48f124a84998d755bae00e" +uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e" +version = "1.1.3" + +[[deps.FunctionWrappersWrappers]] +deps = ["FunctionWrappers"] +git-tree-sha1 = "b104d487b34566608f8b4e1c39fb0b10aa279ff8" +uuid = "77dc65aa-8811-40c2-897b-53d922fa7daf" +version = "0.1.3" + +[[deps.Future]] +deps = ["Random"] +uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820" + +[[deps.GPUArraysCore]] +deps = ["Adapt"] +git-tree-sha1 = "ec632f177c0d990e64d955ccc1b8c04c485a0950" +uuid = "46192b85-c4d5-4398-a991-12ede77f4527" +version = "0.1.6" + +[[deps.GPUCompiler]] +deps = ["ExprTools", "InteractiveUtils", "LLVM", "Libdl", "Logging", "PrecompileTools", "Preferences", "Scratch", "Serialization", "TOML", "TimerOutputs", "UUIDs"] +git-tree-sha1 = "72408a76694e87e735f515a499ba1e069d232d39" +uuid = "61eb1bfa-7361-4325-ad38-22787b887f55" +version = "1.0.1" + +[[deps.GeoFormatTypes]] +git-tree-sha1 = "59107c179a586f0fe667024c5eb7033e81333271" +uuid = "68eda718-8dee-11e9-39e7-89f7f65f511f" +version = "0.4.2" + +[[deps.GeoInterface]] +deps = ["Extents", "GeoFormatTypes"] +git-tree-sha1 = "826b4fd69438d9ce4d2b19de6bc2f970f45f0f88" +uuid = "cf35fbd7-0cd7-5166-be24-54bfbe79505f" +version = "1.3.8" + +[[deps.GeometryBasics]] +deps = ["EarCut_jll", "Extents", "GeoInterface", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"] +git-tree-sha1 = "b62f2b2d76cee0d61a2ef2b3118cd2a3215d3134" +uuid = "5c1252a2-5f33-56bf-86c9-59e7332b4326" +version = "0.4.11" + +[[deps.Gettext_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"] +git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046" +uuid = "78b55507-aeef-58d4-861c-77aaff3498b1" +version = "0.21.0+0" + +[[deps.Giflib_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "0224cce99284d997f6880a42ef715a37c99338d1" +uuid = "59f7168a-df46-5410-90c8-f2779963d0ec" +version = "5.2.2+0" + +[[deps.Glib_jll]] +deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Zlib_jll"] +git-tree-sha1 = "674ff0db93fffcd11a3573986e550d66cd4fd71f" +uuid = "7746bdde-850d-59dc-9ae8-88ece973131d" +version = "2.80.5+0" + +[[deps.Graphics]] +deps = ["Colors", "LinearAlgebra", "NaNMath"] +git-tree-sha1 = "a641238db938fff9b2f60d08ed9030387daf428c" +uuid = "a2bd30eb-e257-5431-a919-1863eab51364" +version = "1.1.3" + +[[deps.Graphite2_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011" +uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472" +version = "1.3.14+0" + +[[deps.GridLayoutBase]] +deps = ["GeometryBasics", "InteractiveUtils", "Observables"] +git-tree-sha1 = "fc713f007cff99ff9e50accba6373624ddd33588" +uuid = "3955a311-db13-416c-9275-1d80ed98e5e9" +version = "0.11.0" + +[[deps.Grisu]] +git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2" +uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe" +version = "1.0.2" + +[[deps.HarfBuzz_jll]] +deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll"] +git-tree-sha1 = "401e4f3f30f43af2c8478fc008da50096ea5240f" +uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566" +version = "8.3.1+0" + +[[deps.HypergeometricFunctions]] +deps = ["LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"] +git-tree-sha1 = "b1c2585431c382e3fe5805874bda6aea90a95de9" +uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a" +version = "0.3.25" + +[[deps.Hyperscript]] +deps = ["Test"] +git-tree-sha1 = "179267cfa5e712760cd43dcae385d7ea90cc25a4" +uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91" +version = "0.0.5" + +[[deps.HypertextLiteral]] +deps = ["Tricks"] +git-tree-sha1 = "7134810b1afce04bbc1045ca1985fbe81ce17653" +uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2" +version = "0.9.5" + +[[deps.IOCapture]] +deps = ["Logging", "Random"] +git-tree-sha1 = "b6d6bfdd7ce25b0f9b2f6b3dd56b2673a66c8770" +uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89" +version = "0.2.5" + +[[deps.IfElse]] +git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1" +uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173" +version = "0.1.1" + +[[deps.ImageAxes]] +deps = ["AxisArrays", "ImageBase", "ImageCore", "Reexport", "SimpleTraits"] +git-tree-sha1 = "e12629406c6c4442539436581041d372d69c55ba" +uuid = "2803e5a7-5153-5ecf-9a86-9b4c37f5f5ac" +version = "0.6.12" + +[[deps.ImageBase]] +deps = ["ImageCore", "Reexport"] +git-tree-sha1 = "eb49b82c172811fd2c86759fa0553a2221feb909" +uuid = "c817782e-172a-44cc-b673-b171935fbb9e" +version = "0.1.7" + +[[deps.ImageCore]] +deps = ["ColorVectorSpace", "Colors", "FixedPointNumbers", "MappedArrays", "MosaicViews", "OffsetArrays", "PaddedViews", "PrecompileTools", "Reexport"] +git-tree-sha1 = "8c193230235bbcee22c8066b0374f63b5683c2d3" +uuid = "a09fc81d-aa75-5fe9-8630-4744c3626534" +version = "0.10.5" + +[[deps.ImageIO]] +deps = ["FileIO", "IndirectArrays", "JpegTurbo", "LazyModules", "Netpbm", "OpenEXR", "PNGFiles", "QOI", "Sixel", "TiffImages", "UUIDs", "WebP"] +git-tree-sha1 = "696144904b76e1ca433b886b4e7edd067d76cbf7" +uuid = "82e4d734-157c-48bb-816b-45c225c6df19" +version = "0.6.9" + +[[deps.ImageMetadata]] +deps = ["AxisArrays", "ImageAxes", "ImageBase", "ImageCore"] +git-tree-sha1 = "2a81c3897be6fbcde0802a0ebe6796d0562f63ec" +uuid = "bc367c6b-8a6b-528e-b4bd-a4b897500b49" +version = "0.9.10" + +[[deps.Imath_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "0936ba688c6d201805a83da835b55c61a180db52" +uuid = "905a6f67-0a94-5f89-b386-d35d92009cd1" +version = "3.1.11+0" + +[[deps.IndirectArrays]] +git-tree-sha1 = "012e604e1c7458645cb8b436f8fba789a51b257f" +uuid = "9b13fd28-a010-5f03-acff-a1bbcff69959" +version = "1.0.0" + +[[deps.Inflate]] +git-tree-sha1 = "d1b1b796e47d94588b3757fe84fbf65a5ec4a80d" +uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9" +version = "0.1.5" + +[[deps.IntegerMathUtils]] +git-tree-sha1 = "b8ffb903da9f7b8cf695a8bead8e01814aa24b30" +uuid = "18e54dd8-cb9d-406c-a71d-865a43cbb235" +version = "0.1.2" + +[[deps.IntelOpenMP_jll]] +deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl"] +git-tree-sha1 = "10bd689145d2c3b2a9844005d01087cc1194e79e" +uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0" +version = "2024.2.1+0" + +[[deps.InteractiveUtils]] +deps = ["Markdown"] +uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240" + +[[deps.Interpolations]] +deps = ["Adapt", "AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"] +git-tree-sha1 = "88a101217d7cb38a7b481ccd50d21876e1d1b0e0" +uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59" +version = "0.15.1" +weakdeps = ["Unitful"] + + [deps.Interpolations.extensions] + InterpolationsUnitfulExt = "Unitful" + +[[deps.IntervalArithmetic]] +deps = ["CRlibm_jll", "LinearAlgebra", "MacroTools", "RoundingEmulator"] +git-tree-sha1 = "24c095b1ec7ee58b936985d31d5df92f9b9cfebb" +uuid = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253" +version = "0.22.19" +weakdeps = ["DiffRules", "ForwardDiff", "IntervalSets", "RecipesBase"] + + [deps.IntervalArithmetic.extensions] + IntervalArithmeticDiffRulesExt = "DiffRules" + IntervalArithmeticForwardDiffExt = "ForwardDiff" + IntervalArithmeticIntervalSetsExt = "IntervalSets" + IntervalArithmeticRecipesBaseExt = "RecipesBase" + +[[deps.IntervalSets]] +git-tree-sha1 = "dba9ddf07f77f60450fe5d2e2beb9854d9a49bd0" +uuid = "8197267c-284f-5f27-9208-e0e47529a953" +version = "0.7.10" +weakdeps = ["Random", "RecipesBase", "Statistics"] + + [deps.IntervalSets.extensions] + IntervalSetsRandomExt = "Random" + IntervalSetsRecipesBaseExt = "RecipesBase" + IntervalSetsStatisticsExt = "Statistics" + +[[deps.InverseFunctions]] +git-tree-sha1 = "a779299d77cd080bf77b97535acecd73e1c5e5cb" +uuid = "3587e190-3f89-42d0-90ee-14403ec27112" +version = "0.1.17" +weakdeps = ["Dates", "Test"] + + [deps.InverseFunctions.extensions] + InverseFunctionsDatesExt = "Dates" + InverseFunctionsTestExt = "Test" + +[[deps.IrrationalConstants]] +git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2" +uuid = "92d709cd-6900-40b7-9082-c6be49f344b6" +version = "0.2.2" + +[[deps.Isoband]] +deps = ["isoband_jll"] +git-tree-sha1 = "f9b6d97355599074dc867318950adaa6f9946137" +uuid = "f1662d9f-8043-43de-a69a-05efc1cc6ff4" +version = "0.1.1" + +[[deps.IterTools]] +git-tree-sha1 = "42d5f897009e7ff2cf88db414a389e5ed1bdd023" +uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e" +version = "1.10.0" + +[[deps.IteratorInterfaceExtensions]] +git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856" +uuid = "82899510-4779-5014-852e-03e436cf321d" +version = "1.0.0" + +[[deps.JLLWrappers]] +deps = ["Artifacts", "Preferences"] +git-tree-sha1 = "be3dc50a92e5a386872a493a10050136d4703f9b" +uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210" +version = "1.6.1" + +[[deps.JSON]] +deps = ["Dates", "Mmap", "Parsers", "Unicode"] +git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a" +uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" +version = "0.21.4" + +[[deps.JSON3]] +deps = ["Dates", "Mmap", "Parsers", "PrecompileTools", "StructTypes", "UUIDs"] +git-tree-sha1 = "1d322381ef7b087548321d3f878cb4c9bd8f8f9b" +uuid = "0f8b85d8-7281-11e9-16c2-39a750bddbf1" +version = "1.14.1" + + [deps.JSON3.extensions] + JSON3ArrowExt = ["ArrowTypes"] + + [deps.JSON3.weakdeps] + ArrowTypes = "31f734f8-188a-4ce0-8406-c8a06bd891cd" + +[[deps.JpegTurbo]] +deps = ["CEnum", "FileIO", "ImageCore", "JpegTurbo_jll", "TOML"] +git-tree-sha1 = "fa6d0bcff8583bac20f1ffa708c3913ca605c611" +uuid = "b835a17e-a41a-41e7-81f0-2f016b05efe0" +version = "0.1.5" + +[[deps.JpegTurbo_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "25ee0be4d43d0269027024d75a24c24d6c6e590c" +uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8" +version = "3.0.4+0" + +[[deps.KernelDensity]] +deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"] +git-tree-sha1 = "7d703202e65efa1369de1279c162b915e245eed1" +uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b" +version = "0.6.9" + +[[deps.LAME_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "170b660facf5df5de098d866564877e119141cbd" +uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d" +version = "3.100.2+0" + +[[deps.LERC_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "36bdbc52f13a7d1dcb0f3cd694e01677a515655b" +uuid = "88015f11-f218-50d7-93a8-a6af411a945d" +version = "4.0.0+0" + +[[deps.LLVM]] +deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Preferences", "Printf", "Unicode"] +git-tree-sha1 = "d422dfd9707bec6617335dc2ea3c5172a87d5908" +uuid = "929cbde3-209d-540e-8aea-75f648917ca0" +version = "9.1.3" + + [deps.LLVM.extensions] + BFloat16sExt = "BFloat16s" + + [deps.LLVM.weakdeps] + BFloat16s = "ab4f0b2a-ad5b-11e8-123f-65d77653426b" + +[[deps.LLVMExtra_jll]] +deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl", "TOML"] +git-tree-sha1 = "05a8bd5a42309a9ec82f700876903abce1017dd3" +uuid = "dad2f222-ce93-54a1-a47d-0025e8a3acab" +version = "0.0.34+0" + +[[deps.LLVMOpenMP_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "78211fb6cbc872f77cad3fc0b6cf647d923f4929" +uuid = "1d63c593-3942-5779-bab2-d838dc0a180e" +version = "18.1.7+0" + +[[deps.LZO_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "854a9c268c43b77b0a27f22d7fab8d33cdb3a731" +uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac" +version = "2.10.2+1" + +[[deps.LaTeXStrings]] +git-tree-sha1 = "dda21b8cbd6a6c40d9d02a73230f9d70fed6918c" +uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" +version = "1.4.0" + +[[deps.Latexify]] +deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"] +git-tree-sha1 = "ce5f5621cac23a86011836badfedf664a612cee4" +uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316" +version = "0.16.5" + + [deps.Latexify.extensions] + DataFramesExt = "DataFrames" + SparseArraysExt = "SparseArrays" + SymEngineExt = "SymEngine" + + [deps.Latexify.weakdeps] + DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" + SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" + SymEngine = "123dc426-2d89-5057-bbad-38513e3affd8" + +[[deps.LazyArtifacts]] +deps = ["Artifacts", "Pkg"] +uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3" + +[[deps.LazyModules]] +git-tree-sha1 = "a560dd966b386ac9ae60bdd3a3d3a326062d3c3e" +uuid = "8cdb02fc-e678-4876-92c5-9defec4f444e" +version = "0.3.1" + +[[deps.LibCURL]] +deps = ["LibCURL_jll", "MozillaCACerts_jll"] +uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21" +version = "0.6.4" + +[[deps.LibCURL_jll]] +deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"] +uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0" +version = "8.4.0+0" + +[[deps.LibGit2]] +deps = ["Base64", "LibGit2_jll", "NetworkOptions", "Printf", "SHA"] +uuid = "76f85450-5226-5b5a-8eaa-529ad045b433" + +[[deps.LibGit2_jll]] +deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll"] +uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5" +version = "1.6.4+0" + +[[deps.LibSSH2_jll]] +deps = ["Artifacts", "Libdl", "MbedTLS_jll"] +uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8" +version = "1.11.0+1" + +[[deps.Libdl]] +uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb" + +[[deps.Libffi_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290" +uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490" +version = "3.2.2+1" + +[[deps.Libgcrypt_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll"] +git-tree-sha1 = "8be878062e0ffa2c3f67bb58a595375eda5de80b" +uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4" +version = "1.11.0+0" + +[[deps.Libglvnd_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"] +git-tree-sha1 = "6f73d1dd803986947b2c750138528a999a6c7733" +uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29" +version = "1.6.0+0" + +[[deps.Libgpg_error_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "c6ce1e19f3aec9b59186bdf06cdf3c4fc5f5f3e6" +uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8" +version = "1.50.0+0" + +[[deps.Libiconv_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "61dfdba58e585066d8bce214c5a51eaa0539f269" +uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531" +version = "1.17.0+1" + +[[deps.Libmount_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "0c4f9c4f1a50d8f35048fa0532dabbadf702f81e" +uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9" +version = "2.40.1+0" + +[[deps.Libtiff_jll]] +deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "XZ_jll", "Zlib_jll", "Zstd_jll"] +git-tree-sha1 = "b404131d06f7886402758c9ce2214b636eb4d54a" +uuid = "89763e89-9b03-5906-acba-b20f662cd828" +version = "4.7.0+0" + +[[deps.Libuuid_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "5ee6203157c120d79034c748a2acba45b82b8807" +uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700" +version = "2.40.1+0" + +[[deps.LinearAlgebra]] +deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"] +uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" + +[[deps.LogExpFunctions]] +deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"] +git-tree-sha1 = "a2d09619db4e765091ee5c6ffe8872849de0feea" +uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688" +version = "0.3.28" + + [deps.LogExpFunctions.extensions] + LogExpFunctionsChainRulesCoreExt = "ChainRulesCore" + LogExpFunctionsChangesOfVariablesExt = "ChangesOfVariables" + LogExpFunctionsInverseFunctionsExt = "InverseFunctions" + + [deps.LogExpFunctions.weakdeps] + ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" + ChangesOfVariables = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0" + InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112" + +[[deps.Logging]] +uuid = "56ddb016-857b-54e1-b83d-db4d58db5568" + +[[deps.MIMEs]] +git-tree-sha1 = "65f28ad4b594aebe22157d6fac869786a255b7eb" +uuid = "6c6e2e6c-3030-632d-7369-2d6c69616d65" +version = "0.1.4" + +[[deps.MKL_jll]] +deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "oneTBB_jll"] +git-tree-sha1 = "f046ccd0c6db2832a9f639e2c669c6fe867e5f4f" +uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7" +version = "2024.2.0+0" + +[[deps.MLStyle]] +git-tree-sha1 = "bc38dff0548128765760c79eb7388a4b37fae2c8" +uuid = "d8e11817-5142-5d16-987a-aa16d5891078" +version = "0.4.17" + +[[deps.MacroTools]] +deps = ["Markdown", "Random"] +git-tree-sha1 = "2fa9ee3e63fd3a4f7a9a4f4744a52f4856de82df" +uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09" +version = "0.5.13" + +[[deps.Makie]] +deps = ["Animations", "Base64", "CRC32c", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "Dates", "DelaunayTriangulation", "Distributions", "DocStringExtensions", "Downloads", "FFMPEG_jll", "FileIO", "FilePaths", "FixedPointNumbers", "Format", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageBase", "ImageIO", "InteractiveUtils", "Interpolations", "IntervalSets", "InverseFunctions", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MacroTools", "MakieCore", "Markdown", "MathTeXEngine", "Observables", "OffsetArrays", "Packing", "PlotUtils", "PolygonOps", "PrecompileTools", "Printf", "REPL", "Random", "RelocatableFolders", "Scratch", "ShaderAbstractions", "Showoff", "SignedDistanceFields", "SparseArrays", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "TriplotBase", "UnicodeFun", "Unitful"] +git-tree-sha1 = "5e4e0e027642293da251bf35dac408d692ccba8b" +uuid = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a" +version = "0.21.16" + +[[deps.MakieCore]] +deps = ["ColorTypes", "GeometryBasics", "IntervalSets", "Observables"] +git-tree-sha1 = "ae4dbe0fcf1594ed98594e5f4ee685295a2a6f74" +uuid = "20f20a25-4f0e-4fdf-b5d1-57303727442b" +version = "0.8.10" + +[[deps.MappedArrays]] +git-tree-sha1 = "2dab0221fe2b0f2cb6754eaa743cc266339f527e" +uuid = "dbb5928d-eab1-5f90-85c2-b9b0edb7c900" +version = "0.4.2" + +[[deps.Markdown]] +deps = ["Base64"] +uuid = "d6f4376e-aef5-505a-96c1-9c027394607a" + +[[deps.MathTeXEngine]] +deps = ["AbstractTrees", "Automa", "DataStructures", "FreeTypeAbstraction", "GeometryBasics", "LaTeXStrings", "REPL", "RelocatableFolders", "UnicodeFun"] +git-tree-sha1 = "f45c8916e8385976e1ccd055c9874560c257ab13" +uuid = "0a4f8689-d25c-4efe-a92b-7142dfc1aa53" +version = "0.6.2" + +[[deps.MbedTLS_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1" +version = "2.28.2+1" + +[[deps.Memoize]] +deps = ["MacroTools"] +git-tree-sha1 = "2b1dfcba103de714d31c033b5dacc2e4a12c7caa" +uuid = "c03570c3-d221-55d1-a50c-7939bbd78826" +version = "0.4.4" + +[[deps.Missings]] +deps = ["DataAPI"] +git-tree-sha1 = "ec4f7fbeab05d7747bdf98eb74d130a2a2ed298d" +uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28" +version = "1.2.0" + +[[deps.Mmap]] +uuid = "a63ad114-7e13-5084-954f-fe012c677804" + +[[deps.MosaicViews]] +deps = ["MappedArrays", "OffsetArrays", "PaddedViews", "StackViews"] +git-tree-sha1 = "7b86a5d4d70a9f5cdf2dacb3cbe6d251d1a61dbe" +uuid = "e94cdb99-869f-56ef-bcf0-1ae2bcbe0389" +version = "0.3.4" + +[[deps.MozillaCACerts_jll]] +uuid = "14a3606d-f60d-562e-9121-12d972cd8159" +version = "2023.1.10" + +[[deps.MultivariatePolynomials]] +deps = ["ChainRulesCore", "DataStructures", "LinearAlgebra", "MutableArithmetics"] +git-tree-sha1 = "8d39779e29f80aa6c071e7ac17101c6e31f075d7" +uuid = "102ac46a-7ee4-5c85-9060-abc95bfdeaa3" +version = "0.5.7" + +[[deps.MutableArithmetics]] +deps = ["LinearAlgebra", "SparseArrays", "Test"] +git-tree-sha1 = "90077f1e79de8c9c7c8a90644494411111f4e07b" +uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0" +version = "1.5.2" + +[[deps.NaNMath]] +deps = ["OpenLibm_jll"] +git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4" +uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3" +version = "1.0.2" + +[[deps.Netpbm]] +deps = ["FileIO", "ImageCore", "ImageMetadata"] +git-tree-sha1 = "d92b107dbb887293622df7697a2223f9f8176fcd" +uuid = "f09324ee-3d7c-5217-9330-fc30815ba969" +version = "1.1.1" + +[[deps.NetworkOptions]] +uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908" +version = "1.2.0" + +[[deps.ObjectFile]] +deps = ["Reexport", "StructIO"] +git-tree-sha1 = "7249afa1c4dfd86bfbcc9b28939ab6ef844f4e11" +uuid = "d8793406-e978-5875-9003-1fc021f44a92" +version = "0.4.2" + +[[deps.Observables]] +git-tree-sha1 = "7438a59546cf62428fc9d1bc94729146d37a7225" +uuid = "510215fc-4207-5dde-b226-833fc4488ee2" +version = "0.5.5" + +[[deps.OffsetArrays]] +git-tree-sha1 = "1a27764e945a152f7ca7efa04de513d473e9542e" +uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881" +version = "1.14.1" +weakdeps = ["Adapt"] + + [deps.OffsetArrays.extensions] + OffsetArraysAdaptExt = "Adapt" + +[[deps.Ogg_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f" +uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051" +version = "1.3.5+1" + +[[deps.OpenBLAS_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"] +uuid = "4536629a-c528-5b80-bd46-f80d51c5b363" +version = "0.3.23+4" + +[[deps.OpenEXR]] +deps = ["Colors", "FileIO", "OpenEXR_jll"] +git-tree-sha1 = "97db9e07fe2091882c765380ef58ec553074e9c7" +uuid = "52e1d378-f018-4a11-a4be-720524705ac7" +version = "0.3.3" + +[[deps.OpenEXR_jll]] +deps = ["Artifacts", "Imath_jll", "JLLWrappers", "Libdl", "Zlib_jll"] +git-tree-sha1 = "8292dd5c8a38257111ada2174000a33745b06d4e" +uuid = "18a262bb-aa17-5467-a713-aee519bc75cb" +version = "3.2.4+0" + +[[deps.OpenLibm_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "05823500-19ac-5b8b-9628-191a04bc5112" +version = "0.8.1+2" + +[[deps.OpenSSL_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "7493f61f55a6cce7325f197443aa80d32554ba10" +uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95" +version = "3.0.15+1" + +[[deps.OpenSpecFun_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1" +uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e" +version = "0.5.5+0" + +[[deps.Opus_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "6703a85cb3781bd5909d48730a67205f3f31a575" +uuid = "91d4177d-7536-5919-b921-800302f37372" +version = "1.3.3+0" + +[[deps.OrderedCollections]] +git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5" +uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" +version = "1.6.3" + +[[deps.PCRE2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15" +version = "10.42.0+1" + +[[deps.PDMats]] +deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"] +git-tree-sha1 = "949347156c25054de2db3b166c52ac4728cbad65" +uuid = "90014a1f-27ba-587c-ab20-58faa44d9150" +version = "0.11.31" + +[[deps.PNGFiles]] +deps = ["Base64", "CEnum", "ImageCore", "IndirectArrays", "OffsetArrays", "libpng_jll"] +git-tree-sha1 = "67186a2bc9a90f9f85ff3cc8277868961fb57cbd" +uuid = "f57f5aa1-a3ce-4bc8-8ab9-96f992907883" +version = "0.4.3" + +[[deps.Packing]] +deps = ["GeometryBasics"] +git-tree-sha1 = "ec3edfe723df33528e085e632414499f26650501" +uuid = "19eb6ba3-879d-56ad-ad62-d5c202156566" +version = "0.5.0" + +[[deps.PaddedViews]] +deps = ["OffsetArrays"] +git-tree-sha1 = "0fac6313486baae819364c52b4f483450a9d793f" +uuid = "5432bcbf-9aad-5242-b902-cca2824c8663" +version = "0.5.12" + +[[deps.Pango_jll]] +deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "FriBidi_jll", "Glib_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl"] +git-tree-sha1 = "e127b609fb9ecba6f201ba7ab753d5a605d53801" +uuid = "36c8627f-9965-5494-a995-c6b170f724f3" +version = "1.54.1+0" + +[[deps.Parsers]] +deps = ["Dates", "PrecompileTools", "UUIDs"] +git-tree-sha1 = "8489905bcdbcfac64d1daa51ca07c0d8f0283821" +uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0" +version = "2.8.1" + +[[deps.Pixman_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"] +git-tree-sha1 = "35621f10a7531bc8fa58f74610b1bfb70a3cfc6b" +uuid = "30392449-352a-5448-841d-b1acce4e97dc" +version = "0.43.4+0" + +[[deps.Pkg]] +deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"] +uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" +version = "1.10.0" + +[[deps.PkgVersion]] +deps = ["Pkg"] +git-tree-sha1 = "f9501cc0430a26bc3d156ae1b5b0c1b47af4d6da" +uuid = "eebad327-c553-4316-9ea0-9fa01ccd7688" +version = "0.3.3" + +[[deps.PlotUtils]] +deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "StableRNGs", "Statistics"] +git-tree-sha1 = "3ca9a356cd2e113c420f2c13bea19f8d3fb1cb18" +uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043" +version = "1.4.3" + +[[deps.PlutoUI]] +deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "FixedPointNumbers", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "MIMEs", "Markdown", "Random", "Reexport", "URIs", "UUIDs"] +git-tree-sha1 = "eba4810d5e6a01f612b948c9fa94f905b49087b0" +uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8" +version = "0.7.60" + +[[deps.PolygonOps]] +git-tree-sha1 = "77b3d3605fc1cd0b42d95eba87dfcd2bf67d5ff6" +uuid = "647866c9-e3ac-4575-94e7-e3d426903924" +version = "0.1.2" + +[[deps.PrecompileTools]] +deps = ["Preferences"] +git-tree-sha1 = "5aa36f7049a63a1528fe8f7c3f2113413ffd4e1f" +uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a" +version = "1.2.1" + +[[deps.Preferences]] +deps = ["TOML"] +git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6" +uuid = "21216c6a-2e73-6563-6e65-726566657250" +version = "1.4.3" + +[[deps.Primes]] +deps = ["IntegerMathUtils"] +git-tree-sha1 = "cb420f77dc474d23ee47ca8d14c90810cafe69e7" +uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae" +version = "0.5.6" + +[[deps.Printf]] +deps = ["Unicode"] +uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" + +[[deps.ProgressMeter]] +deps = ["Distributed", "Printf"] +git-tree-sha1 = "8f6bc219586aef8baf0ff9a5fe16ee9c70cb65e4" +uuid = "92933f4c-e287-5a05-a399-4b506db050ca" +version = "1.10.2" + +[[deps.PtrArrays]] +git-tree-sha1 = "77a42d78b6a92df47ab37e177b2deac405e1c88f" +uuid = "43287f4e-b6f4-7ad1-bb20-aadabca52c3d" +version = "1.2.1" + +[[deps.PyCall]] +deps = ["Conda", "Dates", "Libdl", "LinearAlgebra", "MacroTools", "Serialization", "VersionParsing"] +git-tree-sha1 = "9816a3826b0ebf49ab4926e2b18842ad8b5c8f04" +uuid = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0" +version = "1.96.4" + +[[deps.QOI]] +deps = ["ColorTypes", "FileIO", "FixedPointNumbers"] +git-tree-sha1 = "8b3fc30bc0390abdce15f8822c889f669baed73d" +uuid = "4b34888f-f399-49d4-9bb3-47ed5cae4e65" +version = "1.0.1" + +[[deps.QuadGK]] +deps = ["DataStructures", "LinearAlgebra"] +git-tree-sha1 = "cda3b045cf9ef07a08ad46731f5a3165e56cf3da" +uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc" +version = "2.11.1" +weakdeps = ["Enzyme"] + + [deps.QuadGK.extensions] + QuadGKEnzymeExt = "Enzyme" + +[[deps.REPL]] +deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"] +uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb" + +[[deps.Random]] +deps = ["SHA"] +uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" + +[[deps.RangeArrays]] +git-tree-sha1 = "b9039e93773ddcfc828f12aadf7115b4b4d225f5" +uuid = "b3c3ace0-ae52-54e7-9d0b-2c1406fd6b9d" +version = "0.3.2" + +[[deps.Ratios]] +deps = ["Requires"] +git-tree-sha1 = "1342a47bf3260ee108163042310d26f2be5ec90b" +uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439" +version = "0.4.5" +weakdeps = ["FixedPointNumbers"] + + [deps.Ratios.extensions] + RatiosFixedPointNumbersExt = "FixedPointNumbers" + +[[deps.RecipesBase]] +deps = ["PrecompileTools"] +git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff" +uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01" +version = "1.3.4" + +[[deps.RecursiveArrayTools]] +deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"] +git-tree-sha1 = "6f4dca5fd8e97087a76b7ab8384d1c3086ace0b7" +uuid = "731186ca-8d62-57ce-b412-fbd966d074cd" +version = "3.27.3" + + [deps.RecursiveArrayTools.extensions] + RecursiveArrayToolsFastBroadcastExt = "FastBroadcast" + RecursiveArrayToolsForwardDiffExt = "ForwardDiff" + RecursiveArrayToolsMeasurementsExt = "Measurements" + RecursiveArrayToolsMonteCarloMeasurementsExt = "MonteCarloMeasurements" + RecursiveArrayToolsReverseDiffExt = ["ReverseDiff", "Zygote"] + RecursiveArrayToolsSparseArraysExt = ["SparseArrays"] + RecursiveArrayToolsTrackerExt = "Tracker" + RecursiveArrayToolsZygoteExt = "Zygote" + + [deps.RecursiveArrayTools.weakdeps] + FastBroadcast = "7034ab61-46d4-4ed7-9d0f-46aef9175898" + ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210" + Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7" + MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca" + ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267" + SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" + Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c" + Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f" + +[[deps.Reexport]] +git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b" +uuid = "189a3867-3050-52da-a836-e630ba90ab69" +version = "1.2.2" + +[[deps.RelocatableFolders]] +deps = ["SHA", "Scratch"] +git-tree-sha1 = "ffdaf70d81cf6ff22c2b6e733c900c3321cab864" +uuid = "05181044-ff0b-4ac5-8273-598c1e38db00" +version = "1.0.1" + +[[deps.Requires]] +deps = ["UUIDs"] +git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7" +uuid = "ae029012-a4dd-5104-9daa-d747884805df" +version = "1.3.0" + +[[deps.Rmath]] +deps = ["Random", "Rmath_jll"] +git-tree-sha1 = "852bd0f55565a9e973fcfee83a84413270224dc4" +uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa" +version = "0.8.0" + +[[deps.Rmath_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "58cdd8fb2201a6267e1db87ff148dd6c1dbd8ad8" +uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f" +version = "0.5.1+0" + +[[deps.RoundingEmulator]] +git-tree-sha1 = "40b9edad2e5287e05bd413a38f61a8ff55b9557b" +uuid = "5eaf0fd0-dfba-4ccb-bf02-d820a40db705" +version = "0.2.1" + +[[deps.RuntimeGeneratedFunctions]] +deps = ["ExprTools", "SHA", "Serialization"] +git-tree-sha1 = "04c968137612c4a5629fa531334bb81ad5680f00" +uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47" +version = "0.5.13" + +[[deps.SHA]] +uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce" +version = "0.7.0" + +[[deps.SIMD]] +deps = ["PrecompileTools"] +git-tree-sha1 = "52af86e35dd1b177d051b12681e1c581f53c281b" +uuid = "fdea26ae-647d-5447-a871-4b548cad5224" +version = "3.7.0" + +[[deps.SciMLBase]] +deps = ["ADTypes", "Accessors", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "Expronicon", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface"] +git-tree-sha1 = "f9195449e0ae7e8daf9d609c9619ecfc2369f62c" +uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462" +version = "2.60.0" + + [deps.SciMLBase.extensions] + SciMLBaseChainRulesCoreExt = "ChainRulesCore" + SciMLBaseMakieExt = "Makie" + SciMLBasePartialFunctionsExt = "PartialFunctions" + SciMLBasePyCallExt = "PyCall" + SciMLBasePythonCallExt = "PythonCall" + SciMLBaseRCallExt = "RCall" + SciMLBaseZygoteExt = "Zygote" + + [deps.SciMLBase.weakdeps] + ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2" + ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" + Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a" + PartialFunctions = "570af359-4316-4cb7-8c74-252c00c2016b" + PyCall = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0" + PythonCall = "6099a3de-0909-46bc-b1f4-468b9a2dfc0d" + RCall = "6f49c342-dc21-5d91-9882-a32aef131414" + Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f" + +[[deps.SciMLOperators]] +deps = ["Accessors", "ArrayInterface", "DocStringExtensions", "LinearAlgebra", "MacroTools"] +git-tree-sha1 = "6149620767866d4b0f0f7028639b6e661b6a1e44" +uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961" +version = "0.3.12" +weakdeps = ["SparseArrays", "StaticArraysCore"] + + [deps.SciMLOperators.extensions] + SciMLOperatorsSparseArraysExt = "SparseArrays" + SciMLOperatorsStaticArraysCoreExt = "StaticArraysCore" + +[[deps.SciMLStructures]] +deps = ["ArrayInterface"] +git-tree-sha1 = "25514a6f200219cd1073e4ff23a6324e4a7efe64" +uuid = "53ae85a6-f571-4167-b2af-e1d143709226" +version = "1.5.0" + +[[deps.Scratch]] +deps = ["Dates"] +git-tree-sha1 = "3bac05bc7e74a75fd9cba4295cde4045d9fe2386" +uuid = "6c6a2e73-6563-6170-7368-637461726353" +version = "1.2.1" + +[[deps.Serialization]] +uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" + +[[deps.Setfield]] +deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"] +git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac" +uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46" +version = "1.1.1" + +[[deps.ShaderAbstractions]] +deps = ["ColorTypes", "FixedPointNumbers", "GeometryBasics", "LinearAlgebra", "Observables", "StaticArrays", "StructArrays", "Tables"] +git-tree-sha1 = "79123bc60c5507f035e6d1d9e563bb2971954ec8" +uuid = "65257c39-d410-5151-9873-9b3e5be5013e" +version = "0.4.1" + +[[deps.SharedArrays]] +deps = ["Distributed", "Mmap", "Random", "Serialization"] +uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383" + +[[deps.ShortCodes]] +deps = ["Base64", "CodecZlib", "Downloads", "JSON3", "Memoize", "URIs", "UUIDs"] +git-tree-sha1 = "5844ee60d9fd30a891d48bab77ac9e16791a0a57" +uuid = "f62ebe17-55c5-4640-972f-b59c0dd11ccf" +version = "0.3.6" + +[[deps.Showoff]] +deps = ["Dates", "Grisu"] +git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de" +uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f" +version = "1.0.3" + +[[deps.SignedDistanceFields]] +deps = ["Random", "Statistics", "Test"] +git-tree-sha1 = "d263a08ec505853a5ff1c1ebde2070419e3f28e9" +uuid = "73760f76-fbc4-59ce-8f25-708e95d2df96" +version = "0.4.0" + +[[deps.SimpleTraits]] +deps = ["InteractiveUtils", "MacroTools"] +git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231" +uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d" +version = "0.9.4" + +[[deps.Sixel]] +deps = ["Dates", "FileIO", "ImageCore", "IndirectArrays", "OffsetArrays", "REPL", "libsixel_jll"] +git-tree-sha1 = "2da10356e31327c7096832eb9cd86307a50b1eb6" +uuid = "45858cf5-a6b0-47a3-bbea-62219f50df47" +version = "0.1.3" + +[[deps.Sockets]] +uuid = "6462fe0b-24de-5631-8697-dd941f90decc" + +[[deps.SortingAlgorithms]] +deps = ["DataStructures"] +git-tree-sha1 = "66e0a8e672a0bdfca2c3f5937efb8538b9ddc085" +uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c" +version = "1.2.1" + +[[deps.SparseArrays]] +deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"] +uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" +version = "1.10.0" + +[[deps.SpecialFunctions]] +deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"] +git-tree-sha1 = "2f5d4697f21388cbe1ff299430dd169ef97d7e14" +uuid = "276daf66-3868-5448-9aa4-cd146d93841b" +version = "2.4.0" +weakdeps = ["ChainRulesCore"] + + [deps.SpecialFunctions.extensions] + SpecialFunctionsChainRulesCoreExt = "ChainRulesCore" + +[[deps.StableRNGs]] +deps = ["Random"] +git-tree-sha1 = "83e6cce8324d49dfaf9ef059227f91ed4441a8e5" +uuid = "860ef19b-820b-49d6-a774-d7a799459cd3" +version = "1.0.2" + +[[deps.StackViews]] +deps = ["OffsetArrays"] +git-tree-sha1 = "46e589465204cd0c08b4bd97385e4fa79a0c770c" +uuid = "cae243ae-269e-4f55-b966-ac2d0dc13c15" +version = "0.1.1" + +[[deps.StaticArrays]] +deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"] +git-tree-sha1 = "777657803913ffc7e8cc20f0fd04b634f871af8f" +uuid = "90137ffa-7385-5640-81b9-e52037218182" +version = "1.9.8" +weakdeps = ["ChainRulesCore", "Statistics"] + + [deps.StaticArrays.extensions] + StaticArraysChainRulesCoreExt = "ChainRulesCore" + StaticArraysStatisticsExt = "Statistics" + +[[deps.StaticArraysCore]] +git-tree-sha1 = "192954ef1208c7019899fbf8049e717f92959682" +uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c" +version = "1.4.3" + +[[deps.Statistics]] +deps = ["LinearAlgebra", "SparseArrays"] +uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" +version = "1.10.0" + +[[deps.StatsAPI]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "1ff449ad350c9c4cbc756624d6f8a8c3ef56d3ed" +uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0" +version = "1.7.0" + +[[deps.StatsBase]] +deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"] +git-tree-sha1 = "5cf7606d6cef84b543b483848d4ae08ad9832b21" +uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91" +version = "0.34.3" + +[[deps.StatsFuns]] +deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"] +git-tree-sha1 = "b423576adc27097764a90e163157bcfc9acf0f46" +uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c" +version = "1.3.2" +weakdeps = ["ChainRulesCore", "InverseFunctions"] + + [deps.StatsFuns.extensions] + StatsFunsChainRulesCoreExt = "ChainRulesCore" + StatsFunsInverseFunctionsExt = "InverseFunctions" + +[[deps.StructArrays]] +deps = ["ConstructionBase", "DataAPI", "Tables"] +git-tree-sha1 = "f4dc295e983502292c4c3f951dbb4e985e35b3be" +uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a" +version = "0.6.18" +weakdeps = ["Adapt", "GPUArraysCore", "SparseArrays", "StaticArrays"] + + [deps.StructArrays.extensions] + StructArraysAdaptExt = "Adapt" + StructArraysGPUArraysCoreExt = "GPUArraysCore" + StructArraysSparseArraysExt = "SparseArrays" + StructArraysStaticArraysExt = "StaticArrays" + +[[deps.StructIO]] +git-tree-sha1 = "c581be48ae1cbf83e899b14c07a807e1787512cc" +uuid = "53d494c1-5632-5724-8f4c-31dff12d585f" +version = "0.3.1" + +[[deps.StructTypes]] +deps = ["Dates", "UUIDs"] +git-tree-sha1 = "159331b30e94d7b11379037feeb9b690950cace8" +uuid = "856f2bd8-1eba-4b0a-8007-ebc267875bd4" +version = "1.11.0" + +[[deps.SuiteSparse]] +deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"] +uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9" + +[[deps.SuiteSparse_jll]] +deps = ["Artifacts", "Libdl", "libblastrampoline_jll"] +uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c" +version = "7.2.1+1" + +[[deps.SymPy]] +deps = ["CommonEq", "CommonSolve", "LinearAlgebra", "PyCall", "SpecialFunctions", "SymPyCore"] +git-tree-sha1 = "d35b297be048dfac05bcff29e55d6106808e3c5a" +uuid = "24249f21-da20-56a4-8eb1-6a02cf4ae2e6" +version = "2.2.0" + +[[deps.SymPyCore]] +deps = ["CommonEq", "CommonSolve", "Latexify", "LinearAlgebra", "Markdown", "RecipesBase", "SpecialFunctions"] +git-tree-sha1 = "159306f3e8fa7a3380afd8daaa0f13efe86d7fde" +uuid = "458b697b-88f0-4a86-b56b-78b75cfb3531" +version = "0.2.6" +weakdeps = ["TermInterface"] + + [deps.SymPyCore.extensions] + SymPyCoreTermInterfaceExt = "TermInterface" + +[[deps.SymbolicIndexingInterface]] +deps = ["Accessors", "ArrayInterface", "RuntimeGeneratedFunctions", "StaticArraysCore"] +git-tree-sha1 = "6c6761e08bf5a270905cdd065be633abfa1b155b" +uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5" +version = "0.3.35" + +[[deps.SymbolicLimits]] +deps = ["SymbolicUtils"] +git-tree-sha1 = "fabf4650afe966a2ba646cabd924c3fd43577fc3" +uuid = "19f23fe9-fdab-4a78-91af-e7b7767979c3" +version = "0.2.2" + +[[deps.SymbolicUtils]] +deps = ["AbstractTrees", "ArrayInterface", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "TermInterface", "TimerOutputs", "Unityper"] +git-tree-sha1 = "04e9157537ba51dad58336976f8d04b9ab7122f0" +uuid = "d1185830-fcd6-423d-90d6-eec64667417b" +version = "3.7.2" + + [deps.SymbolicUtils.extensions] + SymbolicUtilsLabelledArraysExt = "LabelledArrays" + SymbolicUtilsReverseDiffExt = "ReverseDiff" + + [deps.SymbolicUtils.weakdeps] + LabelledArrays = "2ee39098-c373-598a-b85f-a56591580800" + ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267" + +[[deps.Symbolics]] +deps = ["ADTypes", "ArrayInterface", "Bijections", "CommonWorldInvalidations", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "IfElse", "LaTeXStrings", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "Primes", "RecipesBase", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArraysCore", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils", "TermInterface"] +git-tree-sha1 = "0caef7687abf7094132fa3112bf5514c36a99226" +uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7" +version = "6.18.3" + + [deps.Symbolics.extensions] + SymbolicsForwardDiffExt = "ForwardDiff" + SymbolicsGroebnerExt = "Groebner" + SymbolicsLuxExt = "Lux" + SymbolicsNemoExt = "Nemo" + SymbolicsPreallocationToolsExt = ["PreallocationTools", "ForwardDiff"] + SymbolicsSymPyExt = "SymPy" + + [deps.Symbolics.weakdeps] + ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210" + Groebner = "0b43b601-686d-58a3-8a1c-6623616c7cd4" + Lux = "b2108857-7c20-44ae-9111-449ecde12c47" + Nemo = "2edaba10-b0f1-5616-af89-8c11ac63239a" + PreallocationTools = "d236fae5-4411-538c-8e31-a6e3d9e00b46" + SymPy = "24249f21-da20-56a4-8eb1-6a02cf4ae2e6" + +[[deps.TOML]] +deps = ["Dates"] +uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76" +version = "1.0.3" + +[[deps.TableTraits]] +deps = ["IteratorInterfaceExtensions"] +git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39" +uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c" +version = "1.0.1" + +[[deps.Tables]] +deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "OrderedCollections", "TableTraits"] +git-tree-sha1 = "598cd7c1f68d1e205689b1c2fe65a9f85846f297" +uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c" +version = "1.12.0" + +[[deps.Tar]] +deps = ["ArgTools", "SHA"] +uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e" +version = "1.10.0" + +[[deps.TensorCore]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6" +uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50" +version = "0.1.1" + +[[deps.TermInterface]] +git-tree-sha1 = "d673e0aca9e46a2f63720201f55cc7b3e7169b16" +uuid = "8ea1fca8-c5ef-4a55-8b96-4e9afe9c9a3c" +version = "2.0.0" + +[[deps.Test]] +deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] +uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" + +[[deps.TiffImages]] +deps = ["ColorTypes", "DataStructures", "DocStringExtensions", "FileIO", "FixedPointNumbers", "IndirectArrays", "Inflate", "Mmap", "OffsetArrays", "PkgVersion", "ProgressMeter", "SIMD", "UUIDs"] +git-tree-sha1 = "0248b1b2210285652fbc67fd6ced9bf0394bcfec" +uuid = "731e570b-9d59-4bfa-96dc-6df516fadf69" +version = "0.11.1" + +[[deps.TimerOutputs]] +deps = ["ExprTools", "Printf"] +git-tree-sha1 = "3a6f063d690135f5c1ba351412c82bae4d1402bf" +uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f" +version = "0.5.25" + +[[deps.TranscodingStreams]] +git-tree-sha1 = "0c45878dcfdcfa8480052b6ab162cdd138781742" +uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa" +version = "0.11.3" + +[[deps.Tricks]] +git-tree-sha1 = "7822b97e99a1672bfb1b49b668a6d46d58d8cbcb" +uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775" +version = "0.1.9" + +[[deps.TriplotBase]] +git-tree-sha1 = "4d4ed7f294cda19382ff7de4c137d24d16adc89b" +uuid = "981d1d27-644d-49a2-9326-4793e63143c3" +version = "0.1.0" + +[[deps.URIs]] +git-tree-sha1 = "67db6cc7b3821e19ebe75791a9dd19c9b1188f2b" +uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4" +version = "1.5.1" + +[[deps.UUIDs]] +deps = ["Random", "SHA"] +uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4" + +[[deps.Unicode]] +uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" + +[[deps.UnicodeFun]] +deps = ["REPL"] +git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf" +uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1" +version = "0.4.1" + +[[deps.Unitful]] +deps = ["Dates", "LinearAlgebra", "Random"] +git-tree-sha1 = "d95fe458f26209c66a187b1114df96fd70839efd" +uuid = "1986cc42-f94f-5a68-af5c-568840ba703d" +version = "1.21.0" +weakdeps = ["ConstructionBase", "InverseFunctions"] + + [deps.Unitful.extensions] + ConstructionBaseUnitfulExt = "ConstructionBase" + InverseFunctionsUnitfulExt = "InverseFunctions" + +[[deps.Unityper]] +deps = ["ConstructionBase"] +git-tree-sha1 = "25008b734a03736c41e2a7dc314ecb95bd6bbdb0" +uuid = "a7c27f48-0311-42f6-a7f8-2c11e75eb415" +version = "0.1.6" + +[[deps.VersionParsing]] +git-tree-sha1 = "58d6e80b4ee071f5efd07fda82cb9fbe17200868" +uuid = "81def892-9a0e-5fdd-b105-ffc91e053289" +version = "1.3.0" + +[[deps.WebP]] +deps = ["CEnum", "ColorTypes", "FileIO", "FixedPointNumbers", "ImageCore", "libwebp_jll"] +git-tree-sha1 = "aa1ca3c47f119fbdae8770c29820e5e6119b83f2" +uuid = "e3aaa7dc-3e4b-44e0-be63-ffb868ccd7c1" +version = "0.1.3" + +[[deps.WoodburyMatrices]] +deps = ["LinearAlgebra", "SparseArrays"] +git-tree-sha1 = "c1a7aa6219628fcd757dede0ca95e245c5cd9511" +uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6" +version = "1.0.0" + +[[deps.XML2_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"] +git-tree-sha1 = "6a451c6f33a176150f315726eba8b92fbfdb9ae7" +uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a" +version = "2.13.4+0" + +[[deps.XSLT_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "XML2_jll", "Zlib_jll"] +git-tree-sha1 = "a54ee957f4c86b526460a720dbc882fa5edcbefc" +uuid = "aed1982a-8fda-507f-9586-7b0439959a61" +version = "1.1.41+0" + +[[deps.XZ_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "15e637a697345f6743674f1322beefbc5dcd5cfc" +uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800" +version = "5.6.3+0" + +[[deps.Xorg_libX11_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"] +git-tree-sha1 = "afead5aba5aa507ad5a3bf01f58f82c8d1403495" +uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc" +version = "1.8.6+0" + +[[deps.Xorg_libXau_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8" +uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec" +version = "1.0.11+0" + +[[deps.Xorg_libXdmcp_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7" +uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05" +version = "1.1.4+0" + +[[deps.Xorg_libXext_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"] +git-tree-sha1 = "d2d1a5c49fae4ba39983f63de6afcbea47194e85" +uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3" +version = "1.3.6+0" + +[[deps.Xorg_libXrender_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"] +git-tree-sha1 = "47e45cd78224c53109495b3e324df0c37bb61fbe" +uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa" +version = "0.9.11+0" + +[[deps.Xorg_libpthread_stubs_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9" +uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74" +version = "0.1.1+0" + +[[deps.Xorg_libxcb_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"] +git-tree-sha1 = "bcd466676fef0878338c61e655629fa7bbc69d8e" +uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b" +version = "1.17.0+0" + +[[deps.Xorg_xtrans_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77" +uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" +version = "1.5.0+0" + +[[deps.Zlib_jll]] +deps = ["Libdl"] +uuid = "83775a58-1f1d-513f-b197-d71354ab007a" +version = "1.2.13+1" + +[[deps.Zstd_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "555d1076590a6cc2fdee2ef1469451f872d8b41b" +uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" +version = "1.5.6+1" + +[[deps.isoband_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "51b5eeb3f98367157a7a12a1fb0aa5328946c03c" +uuid = "9a68df92-36a6-505f-a73e-abb412b6bfb4" +version = "0.2.3+0" + +[[deps.libaom_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "1827acba325fdcdf1d2647fc8d5301dd9ba43a9d" +uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b" +version = "3.9.0+0" + +[[deps.libass_jll]] +deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Zlib_jll"] +git-tree-sha1 = "e17c115d55c5fbb7e52ebedb427a0dca79d4484e" +uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0" +version = "0.15.2+0" + +[[deps.libblastrampoline_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" +version = "5.11.0+0" + +[[deps.libfdk_aac_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "8a22cf860a7d27e4f3498a0fe0811a7957badb38" +uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" +version = "2.0.3+0" + +[[deps.libpng_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"] +git-tree-sha1 = "b70c870239dc3d7bc094eb2d6be9b73d27bef280" +uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" +version = "1.6.44+0" + +[[deps.libsixel_jll]] +deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Pkg", "libpng_jll"] +git-tree-sha1 = "7dfa0fd9c783d3d0cc43ea1af53d69ba45c447df" +uuid = "075b6546-f08a-558a-be8f-8157d0f608a5" +version = "1.10.3+1" + +[[deps.libvorbis_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] +git-tree-sha1 = "490376214c4721cdaca654041f635213c6165cb3" +uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" +version = "1.3.7+2" + +[[deps.libwebp_jll]] +deps = ["Artifacts", "Giflib_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libglvnd_jll", "Libtiff_jll", "libpng_jll"] +git-tree-sha1 = "ccbb625a89ec6195856a50aa2b668a5c08712c94" +uuid = "c5f90fcd-3b7e-5836-afba-fc50a0988cb2" +version = "1.4.0+0" + +[[deps.nghttp2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" +version = "1.52.0+1" + +[[deps.oneTBB_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "7d0ea0f4895ef2f5cb83645fa689e52cb55cf493" +uuid = "1317d2d5-d96f-522e-a858-c73665f53c3e" +version = "2021.12.0+0" + +[[deps.p7zip_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" +version = "17.4.0+2" + +[[deps.x264_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "35976a1216d6c066ea32cba2150c4fa682b276fc" +uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" +version = "10164.0.0+0" + +[[deps.x265_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "dcc541bb19ed5b0ede95581fb2e41ecf179527d2" +uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" +version = "3.6.0+0" +""" + +# ╔═╡ Cell order: +# ╟─0d964d8a-a1cc-11ef-109a-355df4ce1d5b +# ╠═ff3e2520-cf49-41ad-b39e-9b93454fb62c +# ╠═c8597eb3-8e7c-4a6a-8334-2f490e80cb40 +# ╠═6c560e93-df6a-4084-abcf-21babcc0eba1 +# ╠═e344fb09-e6d4-4c29-96f5-f0eea1ce8f27 +# ╠═57b5a9da-1753-476b-822f-9245f84957f3 +# ╟─dd43e033-091b-4390-ae16-0764ce392c4c +# ╠═c4a5f9a7-4e7d-4245-b6cb-64bf46f114f7 +# ╠═b06c0fa4-c8b4-4119-97c3-b64890564249 +# ╠═001ed31c-397b-4bb0-858d-69b1835ff775 +# ╠═8881a438-fcaa-4fce-91bd-cdb176c87b72 +# ╠═339bc99a-3c59-4c25-bce8-2964a20641b9 +# ╠═59289961-9ee7-4ecd-88c2-68f43d581461 +# ╠═73e4c26f-a722-49c0-b5b8-a4c98daf14e6 +# ╠═ba2c4083-c60a-40c6-a64f-53d5a041eaa9 +# ╟─a321d433-b07d-44a5-9558-129d0a50a510 +# ╟─1efbc3f7-f622-449d-96ba-86a521ad9ada +# ╠═7e83fe6d-77e0-4720-b71b-4ae9289aae98 +# ╠═20be835a-bda9-4388-8260-8991f59f02a2 +# ╠═4a923597-c0c5-405e-807e-31558f44fb5e +# ╟─f2771f56-e3e4-4828-bab3-f163b305f5bc +# ╠═ab395297-79c8-4a37-96bd-bd3e421500bd +# ╠═97497d1f-b03b-4c2b-9638-510465b17154 +# ╠═330b23f7-e03a-42f4-b665-7450821a69b0 +# ╟─bdf383c4-718c-4cce-a6bc-c02cf97e0f84 +# ╠═088f0afd-ecb5-4750-b586-681eac1d9350 +# ╠═876e0c57-9904-4008-a8fd-ac0cbc1ec11a +# ╠═670107ff-d32e-4e31-8840-67e47fa0e85b +# ╠═b115ea72-e13c-48eb-98ad-1c91d95b178d +# ╟─7dd64f86-e4b6-42de-9272-df8c3c688ef0 +# ╠═39fd3dd0-3e05-45c9-a4c2-d8fd4ec602d0 +# ╠═59b719a7-7edf-458e-92d6-9b848861ce06 +# ╠═60685aab-5ab5-459a-976b-814a141384fe +# ╟─39df497b-82c8-4219-924e-0742eea51ec4 +# ╠═178e6fb3-c9b8-44bd-9806-758e98a46906 +# ╠═7b9e3c1b-a593-4d50-83e5-449cab7d3867 +# ╠═422aa7e2-8a5d-4d73-9584-3d7655f11842 +# ╠═0301d990-9142-4d89-ab72-583ce707ce41 +# ╠═6b7c3ab9-460f-4368-8532-b0d8f12279f7 +# ╠═91e9a6e8-2459-420a-bb31-9ee2c008aa8a +# ╠═64412ac5-df42-4a57-8324-799d6e3925ad +# ╠═381f2979-7fd0-4ba4-8d38-61cb2e361835 +# ╠═e694bea1-e1f9-4bd2-bfb3-501c982e44c7 +# ╠═868be1fd-a2d2-4d44-a292-97da72998296 +# ╠═69c9e393-87b2-4748-b359-00b37cd152f0 +# ╠═1e9dac04-6ec7-49b2-8ae7-290ab28f3bb6 +# ╠═45e33145-8f1c-44f5-be60-51ea5d9464d4 +# ╠═97347d5e-a2db-465c-adf1-44c5bde5ade0 +# ╠═20afce1f-add3-471f-b9d8-fba37608f94a +# ╠═5c21aee8-37e1-4665-82b6-59e817386bee +# ╠═73a96d2a-3e59-4040-a848-1c187435a736 +# ╠═e6476af8-dff1-41b5-9712-05aa21ca433b +# ╠═49ee9eac-2a7e-4f33-8902-b60f376907af +# ╠═2beb6e6e-d72e-47b2-b64d-3a5df6c90b4f +# ╠═8d2f5106-2970-40c8-afd1-f4ae3ac07bcb +# ╠═5eba07ac-864c-4ac8-84c0-38e49af47530 +# ╠═2dd7f550-e6b7-4d10-84e4-95d491360c7e +# ╠═af43c12e-1594-4f20-9341-65458b115e53 +# ╠═74c58c71-cd01-4960-a56d-fe2cfb767978 +# ╠═a3227caf-b00d-4b27-b6d9-eccad55007a3 +# ╟─63eb995d-1481-4f97-a8c7-57c3471608a2 +# ╟─5bab2500-57d1-4fcb-ae5d-7b102932a2fb +# ╠═b7693b28-5941-46ab-aa40-68803f97857c +# ╠═dbe46e98-ba3f-4dcd-a2da-a281615d488a +# ╠═d7131a1a-2eeb-44f5-8caf-ed9778506109 +# ╠═01fdd4fb-2b5a-4659-b89e-0de189e44cc8 +# ╠═6c3d83dc-a4d1-44e6-bbcd-6903d7fe3c0b +# ╠═1d1bf263-c137-4dc8-84c2-a90d216491e5 +# ╠═5425fe74-f406-4db1-a82a-6f11644d2498 +# ╠═6807d8bb-49e5-45fe-a42a-4a40b004cbd9 +# ╠═1a97feb1-52b1-4705-bfc5-dbb2b1141d37 +# ╠═dc3a34cf-0867-4e1a-a45f-9b44225a7d2c +# ╟─e71cd79d-97a1-49d7-b326-19217c8eec35 +# ╟─a518a63d-17ae-4496-b048-c61f66f05706 +# ╟─00000000-0000-0000-0000-000000000001 +# ╟─00000000-0000-0000-0000-000000000002