diff --git a/_quarto.yml b/_quarto.yml index aa05340..7777bee 100644 --- a/_quarto.yml +++ b/_quarto.yml @@ -41,12 +41,16 @@ website: contents: - href: material/1_mon/rse/rse_basics_slides.qmd text: "πŸ“Š 1 - RSE" - - href: "missing.md" - text: "πŸ“ 2 - Why Julia" + - href: "material/1_mon/why_julia/page.qmd" + text: "πŸ“Š 2 - Why Julia" - href: "material/1_mon/firststeps/firststeps_handout.qmd" - text: "πŸ“ 3 - First Steps" + text: "πŸ“ 3 - First Steps: Handout" + - href: "material/1_mon/firststeps/tasks.qmd" + text: "πŸ›  3 - First Steps: Exercises" - href: "material/1_mon/envs/envs_handout.qmd" - text: "πŸ“ 4 - Environments & Packages" + text: "πŸ“ 4 - Envs & Pkgs : Handout" + - href: "material/1_mon/envs/envs_tasks.qmd" + text: "πŸ›  4 - Envs & Pkgs: Exercises" - section: "Tuesday" contents: - href: material/2_tue/git/intro_slides.md diff --git a/material/1_mon/why_julia/2023_Ranocha_Why_Julia.pdf b/material/1_mon/why_julia/2023_Ranocha_Why_Julia.pdf new file mode 100644 index 0000000..65fc45a Binary files /dev/null and b/material/1_mon/why_julia/2023_Ranocha_Why_Julia.pdf differ diff --git a/material/1_mon/why_julia/page.qmd b/material/1_mon/why_julia/page.qmd new file mode 100644 index 0000000..f3e0cb6 --- /dev/null +++ b/material/1_mon/why_julia/page.qmd @@ -0,0 +1,5 @@ +# Why Julia? + + Introduction talk from Hendrik Ranocha. + +Please find the slides [here (pdf)](2023_Ranocha_Why_Julia.pdf) \ No newline at end of file diff --git a/material/1_mon/why_julia/pluto_demo/Manifest.toml b/material/1_mon/why_julia/pluto_demo/Manifest.toml new file mode 100644 index 0000000..7a2a712 --- /dev/null +++ b/material/1_mon/why_julia/pluto_demo/Manifest.toml @@ -0,0 +1,352 @@ +# This file is machine-generated - editing it directly is not advised + +julia_version = "1.9.3" +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 = "43b1a4a8f797c1cddadf60499a8a077d4af2cd2d" +uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35" +version = "0.1.7" + +[[deps.CodecZlib]] +deps = ["TranscodingStreams", "Zlib_jll"] +git-tree-sha1 = "02aa26a4cf76381be7f66e020a3eddeb27b0a092" +uuid = "944b1d66-785c-5afd-91f1-9de20f533193" +version = "0.7.2" + +[[deps.CompilerSupportLibraries_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" +version = "1.0.5+0" + +[[deps.ConcurrentUtilities]] +deps = ["Serialization", "Sockets"] +git-tree-sha1 = "5372dbbf8f0bdb8c700db5367132925c0771ef7e" +uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb" +version = "2.2.1" + +[[deps.Configurations]] +deps = ["ExproniconLite", "OrderedCollections", "TOML"] +git-tree-sha1 = "434f446dbf89d08350e83bf57c0fc86f5d3ffd4e" +uuid = "5218b696-f38b-4ac9-8b61-a12ec717816d" +version = "0.17.5" + +[[deps.DataAPI]] +git-tree-sha1 = "8da84edb865b0b5b0100c0666a9bc9a0b71c553c" +uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a" +version = "1.15.0" + +[[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 = "e90caa41f5a86296e014e148ee061bd6c3edec96" +uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4" +version = "0.1.9" + +[[deps.ExproniconLite]] +deps = ["Pkg", "TOML"] +git-tree-sha1 = "d80b5d5990071086edf5de9018c6c69c83937004" +uuid = "55351af7-c7e9-48d6-89ff-24e801d99491" +version = "0.10.3" + +[[deps.FileWatching]] +uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee" + +[[deps.FuzzyCompletions]] +deps = ["REPL"] +git-tree-sha1 = "001bd0eefc8c532660676725bed56b696321dfd2" +uuid = "fb4132e2-a121-4a70-b8a1-d5b831dcdcc2" +version = "0.5.2" + +[[deps.HTTP]] +deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"] +git-tree-sha1 = "5eab648309e2e060198b45820af1a37182de3cce" +uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3" +version = "1.10.0" + +[[deps.HypertextLiteral]] +deps = ["Tricks"] +git-tree-sha1 = "c47c5fa4c5308f27ccaac35504858d8914e102f9" +uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2" +version = "0.9.4" + +[[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 = "7e5d6779a1e09a36db2a7b6cff50942a0a7d0fca" +uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210" +version = "1.5.0" + +[[deps.LazilyInitializedFields]] +git-tree-sha1 = "410fe4739a4b092f2ffe36fcb0dcc3ab12648ce1" +uuid = "0e77f7df-68c5-4e49-93ce-4cd80f5598bf" +version = "1.2.1" + +[[deps.LibCURL]] +deps = ["LibCURL_jll", "MozillaCACerts_jll"] +uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21" +version = "0.6.3" + +[[deps.LibCURL_jll]] +deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"] +uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0" +version = "7.84.0+0" + +[[deps.LibGit2]] +deps = ["Base64", "NetworkOptions", "Printf", "SHA"] +uuid = "76f85450-5226-5b5a-8eaa-529ad045b433" + +[[deps.LibSSH2_jll]] +deps = ["Artifacts", "Libdl", "MbedTLS_jll"] +uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8" +version = "1.10.2+0" + +[[deps.Libdl]] +uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb" + +[[deps.LinearAlgebra]] +deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"] +uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" + +[[deps.Logging]] +uuid = "56ddb016-857b-54e1-b83d-db4d58db5568" + +[[deps.LoggingExtras]] +deps = ["Dates", "Logging"] +git-tree-sha1 = "0d097476b6c381ab7906460ef1ef1638fbce1d91" +uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36" +version = "1.0.2" + +[[deps.MIMEs]] +git-tree-sha1 = "65f28ad4b594aebe22157d6fac869786a255b7eb" +uuid = "6c6e2e6c-3030-632d-7369-2d6c69616d65" +version = "0.1.4" + +[[deps.Markdown]] +deps = ["Base64"] +uuid = "d6f4376e-aef5-505a-96c1-9c027394607a" + +[[deps.MbedTLS]] +deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "Random", "Sockets"] +git-tree-sha1 = "03a9b9718f5682ecb107ac9f7308991db4ce395b" +uuid = "739be429-bea8-5141-9913-cc70e7f3736d" +version = "1.1.7" + +[[deps.MbedTLS_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1" +version = "2.28.2+0" + +[[deps.MozillaCACerts_jll]] +uuid = "14a3606d-f60d-562e-9121-12d972cd8159" +version = "2022.10.11" + +[[deps.MsgPack]] +deps = ["Serialization"] +git-tree-sha1 = "fc8c15ca848b902015bd4a745d350f02cf791c2a" +uuid = "99f44e22-a591-53d1-9472-aa23ef4bd671" +version = "1.2.0" + +[[deps.NetworkOptions]] +uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908" +version = "1.2.0" + +[[deps.OpenBLAS_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"] +uuid = "4536629a-c528-5b80-bd46-f80d51c5b363" +version = "0.3.21+4" + +[[deps.OpenSSL]] +deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"] +git-tree-sha1 = "51901a49222b09e3743c65b8847687ae5fc78eb2" +uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c" +version = "1.4.1" + +[[deps.OpenSSL_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "e78db7bd5c26fc5a6911b50a47ee302219157ea8" +uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95" +version = "3.0.10+0" + +[[deps.OrderedCollections]] +git-tree-sha1 = "2e73fe17cac3c62ad1aebe70d44c963c3cfdc3e3" +uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" +version = "1.6.2" + +[[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 = "1.9.2" + +[[deps.Pluto]] +deps = ["Base64", "Configurations", "Dates", "Distributed", "FileWatching", "FuzzyCompletions", "HTTP", "HypertextLiteral", "InteractiveUtils", "Logging", "LoggingExtras", "MIMEs", "Markdown", "MsgPack", "Pkg", "PrecompileSignatures", "PrecompileTools", "REPL", "RegistryInstances", "RelocatableFolders", "Sockets", "TOML", "Tables", "URIs", "UUIDs"] +git-tree-sha1 = "06fec2244568a4641e3352d20d0a0a608df6fa92" +uuid = "c3e4b0f8-55cb-11ea-2926-15256bba5781" +version = "0.19.27" + +[[deps.PrecompileSignatures]] +git-tree-sha1 = "18ef344185f25ee9d51d80e179f8dad33dc48eb1" +uuid = "91cefc8d-f054-46dc-8f8c-26e11d7c5411" +version = "3.0.3" + +[[deps.PrecompileTools]] +deps = ["Preferences"] +git-tree-sha1 = "03b4c25b43cb84cee5c90aa9b5ea0a78fd848d2f" +uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a" +version = "1.2.0" + +[[deps.Preferences]] +deps = ["TOML"] +git-tree-sha1 = "7eb1686b4f04b82f96ed7a4ea5890a4f0c7a09f1" +uuid = "21216c6a-2e73-6563-6e65-726566657250" +version = "1.4.0" + +[[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", "Serialization"] +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 = "90bc7a7c96410424509e4263e277e43250c05691" +uuid = "05181044-ff0b-4ac5-8273-598c1e38db00" +version = "1.0.0" + +[[deps.SHA]] +uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce" +version = "0.7.0" + +[[deps.Scratch]] +deps = ["Dates"] +git-tree-sha1 = "30449ee12237627992a99d5e30ae63e4d78cd24a" +uuid = "6c6a2e73-6563-6170-7368-637461726353" +version = "1.2.0" + +[[deps.Serialization]] +uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" + +[[deps.SimpleBufferStream]] +git-tree-sha1 = "874e8867b33a00e784c8a7e4b60afe9e037b74e1" +uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7" +version = "1.1.0" + +[[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", "LinearAlgebra", "OrderedCollections", "TableTraits"] +git-tree-sha1 = "a1f34829d5ac0ef499f6d84428bd6b4c71f02ead" +uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c" +version = "1.11.0" + +[[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]] +deps = ["Random", "Test"] +git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769" +uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa" +version = "0.9.13" + +[[deps.Tricks]] +git-tree-sha1 = "aadb748be58b492045b4f56166b5188aa63ce549" +uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775" +version = "0.1.7" + +[[deps.URIs]] +git-tree-sha1 = "b7a5e99f24892b6824a954199a45e9ffcc1c70f0" +uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4" +version = "1.5.0" + +[[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+0" + +[[deps.libblastrampoline_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" +version = "5.8.0+0" + +[[deps.nghttp2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" +version = "1.48.0+0" + +[[deps.p7zip_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" +version = "17.4.0+0" diff --git a/material/1_mon/why_julia/pluto_demo/Project.toml b/material/1_mon/why_julia/pluto_demo/Project.toml new file mode 100644 index 0000000..c39603e --- /dev/null +++ b/material/1_mon/why_julia/pluto_demo/Project.toml @@ -0,0 +1,2 @@ +[deps] +Pluto = "c3e4b0f8-55cb-11ea-2926-15256bba5781" diff --git a/material/1_mon/why_julia/pluto_demo/README.md b/material/1_mon/why_julia/pluto_demo/README.md new file mode 100644 index 0000000..1fc4105 --- /dev/null +++ b/material/1_mon/why_julia/pluto_demo/README.md @@ -0,0 +1,15 @@ +# Brief demonstration of Julia and Pluto.jl notebooks + +This brief demo gives a first impression how Julia looks like. +It also contains an example I used in teaching a class on +numerical methods for partial differential equations. + +Run + +```bash +julia --project=. -e 'import Pkg; Pkg.instantiate(); import Pluto; Pluto.run()' +``` + +in this directory. Then, open the Pluto notebook `pluto_demo.jl`. + +This code was developed with Julia v1.9.3. diff --git a/material/1_mon/why_julia/pluto_demo/pluto_demo.jl b/material/1_mon/why_julia/pluto_demo/pluto_demo.jl new file mode 100644 index 0000000..27e7a86 --- /dev/null +++ b/material/1_mon/why_julia/pluto_demo/pluto_demo.jl @@ -0,0 +1,1967 @@ +### A Pluto.jl notebook ### +# v0.19.27 + +using Markdown +using InteractiveUtils + +# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error). +macro bind(def, element) + quote + local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end + local el = $(esc(element)) + global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el) + el + end +end + +# ╔═║ c223c2ae-4ddc-4a5c-b66b-561724c6c01d +using LinearAlgebra, Plots, LaTeXStrings + +# ╔═║ 34f0cbe9-00b3-4e50-a097-054770a27eff +using SparseArrays + +# ╔═║ 9b552053-cd6e-463c-946b-da4c7a668a5a +using Printf + +# ╔═║ de2b4bee-ca03-47e6-9b5c-be3bf7f87bb4 +using PlutoUI + +# ╔═║ bcec0bba-2f5d-49d7-a0d3-e4ba50afabc0 +using OrdinaryDiffEq + +# ╔═║ 176d6bba-933b-4904-84be-92aef76250ac +using SummationByPartsOperators + +# ╔═║ 5b4bf62a-ece2-4f2e-b506-be744deedb5f +md""" +# A brief tour of Julia +""" + +# ╔═║ ede66c45-4b31-4a62-a312-e635db7646b1 +md""" +## Unicode and LaTeX +""" + +# ╔═║ 69cea251-ee9d-44dd-9714-f7a0e60601f1 +Ξ² = Ο€ / 4 # type `\beta` + TAB + +# ╔═║ a4090148-0ebc-48fc-b98a-8888570c2da2 +tan(Ξ²) β‰ˆ sin(Ξ²) / cos(Ξ²) + +# ╔═║ 3ffd2a9f-eb6a-4ae3-9399-524a87617a24 +begin + Ξ» = eigvals(randn(1_000, 1_000)) + scatter(real(Ξ»), imag(Ξ»), aspect_ratio = :equal, legend = nothing, + xguide = L"\operatorname{Re} \lambda", + yguide = L"\operatorname{Im} \lambda") +end + +# ╔═║ 97dee24c-73e4-4186-a1a4-ea4e4c8a6104 +md""" +## Linear algebra (sparse and dense) +""" + +# ╔═║ 15ce050a-02d0-4ade-be57-84c6568ed7e3 +begin + n = 30 + A = spdiagm(0 => 2 * ones(n), 1 => -ones(n-1), -1 => -ones(n-1)) +end + +# ╔═║ d44daaa1-701c-4a4d-930d-76f9fcff8e6d +begin + f = rand(n) + u = A \ f + norm(A * u - f) +end + +# ╔═║ 49013e3e-4a23-11ed-3281-85e869263467 +md""" +## Wave equation + +Consider the wave equation + +$$\begin{equation*} + \begin{aligned} + \partial_t^2 u(t, x) &= \partial_x^2 u(t, x) && \text{in } (0,T) \times (x_\mathrm{min}, x_\mathrm{max}), \\ + \partial_x u(t, x) &= 0 && \text{on } (0, T) \times \{x_\mathrm{min}, x_\mathrm{max}\}, \\ + u(t, x) &= u^0(x) &&\text{on } \{0\} \times [x_\mathrm{min}, x_\mathrm{max}], \\ + \partial_t u(t, x) &= v^0(x) &&\text{on } \{0\} \times [x_\mathrm{min}, x_\mathrm{max}]. + \end{aligned} +\end{equation*}$$ + +Here, we choose the initial conditions + +$$\begin{equation*} +\begin{aligned} + u^0(x) &= \exp(-20 x^2), \\ + v^0(x) &= 0, \\ +\end{aligned} +\end{equation*}$$ + +with parameters $x_\mathrm{min} = -1$, $x_\mathrm{max} = 1$. + +We use the classical second-derivative SBP operator +(central differences in the interior, one-sided differences at the boundaries) +in space and a third-order accurate Runge-Kutta method in time. +The parameters are +- ``N``: number of grid points distributed uniformly in the domain +- ``\Delta x``: grid spacing +- ``\Delta t``: time step size + +""" + +# ╔═║ 27b7b87b-5d76-4893-9d32-9b1fd7d200b1 +md""" +You should play around with the parameter settings above. In particular, you +should have a look at the following questions: + +- How does the solution evolve in time? You can choose the final time ``T`` + to investigate this behavior. +- How does the error behave under grid refinement, i.e., increasing ``N``? +- How do you need to choose the time step size ``\Delta t`` depending on the + spatial resolution ``N \propto 1 / \Delta x``? +""" + +# ╔═║ 823036b2-f41d-4642-995f-4e96cc6f9f15 +md""" +# Appendix + +You can find code and utility material in this appendix. +""" + +# ╔═║ e3c5952c-2125-416e-a718-ccf5db02933a +space = html"


"; + +# ╔═║ 2b28849d-c3d4-4f69-80c7-60ce5cb6f487 +space + +# ╔═║ 417e5583-7d99-4eac-953f-b84cce3a72b0 +space + +# ╔═║ 668f1ccd-7e7a-4d6e-b3f5-23a8389244e2 +space + +# ╔═║ 7a3580a3-3cb2-4282-a9f3-b32702d8c8f7 +# ╠═║ show_logs = false +# ╠═║ disabled = true +#=╠═║ +using LaTeXStrings + ╠═║ =# + +# ╔═║ 550930ed-7815-46a5-b228-7c1eba2aa614 +# ╠═║ disabled = true +#=╠═║ +using Plots: Plots, plot, plot!, scatter, scatter! + ╠═║ =# + +# ╔═║ de68c071-b710-498b-abb4-2b729250e09a +function rhs!(ddu, du, u, parameters, t) + D2, = parameters + mul!(ddu, D2, u) + ddu[begin] += derivative_left(D2, u, Val{1}()) / left_boundary_weight(D2) + ddu[end] -= derivative_right(D2, u, Val{1}()) / right_boundary_weight(D2) + return nothing +end + +# ╔═║ 982e9af9-ba93-4855-bb0a-a3bd4249ab2c +# We can interpret the solution of the problem with homogeneous Neumann BCs +# as the superposition of multiple wave packets on the whole real line. +# We use that the initial condition is essentially zero at the boundaries +# (in 64 bit floating point arithmetic). +function usol(t, x) + u = zero(t + x) + # This is only accurate up to time 10 + for i in 0:5 + left = 0.5 * exp(-20 * (x - t + 2 * i)^2) + right = 0.5 * exp(-20 * (x + t - 2 * i)^2) + u = u + left + right + end + return u +end + +# ╔═║ dd98c2bd-b0b9-4c73-8ff7-e66d31c05204 +const Tmax = 6.0 + +# ╔═║ 415276e3-6bf4-4337-986d-820ec282ea0b +md""" +``N`` = $(@bind N Slider([20, 40, 80, 160], default=40, show_value=true)) + +(``\Delta x`` = $(1 / N)) + +``\Delta t`` = $(@bind Ξ”t Slider([1.0e-3, 5.0e-3, 1.0e-2, 2.0e-2, 4.0e-2, 8.0e-2, 0.16], default=1.0e-2, show_value=true)) + +``T`` = $(@bind T Slider(0.0:0.02:Tmax, default=0.2, show_value=true)) +""" + +# ╔═║ 80620afb-7a5f-4511-9afd-d80c9d045885 +begin + D2 = derivative_operator(MattssonNordstrΓΆm2004(), + derivative_order = 2, accuracy_order = 2, + xmin = -1.0, xmax = 1.0, N = N) + x = SummationByPartsOperators.grid(D2) + u0 = @. exp(-20 * x^2) + v0 = zero(u0) + nothing +end + +# ╔═║ 13e33aa8-f7b4-4a28-b6ff-9c4351af361c +begin + ode = SecondOrderODEProblem(rhs!, v0, u0, (0.0, Tmax), (D2,)) + sol = solve(ode, SSPRK33(); adaptive = false, dt = Ξ”t) + nothing +end + +# ╔═║ 46f8b441-af8f-40e3-9856-acfd69d70c20 +let + x = SummationByPartsOperators.grid(D2) + err = integrate(abs2, usol.(T, x) - sol(T).x[2], D2) |> sqrt + md""" + Error at the time ``T``: $(@sprintf("%.2e", err)) + """ +end + +# ╔═║ 0a071947-9e23-4218-9436-915f08e1a83c +begin + fig = plot(xguide = L"x", yguide = L"u", thickness_scaling = 1.5, + legend = :outertopright, size = (800, 400)) + x_plot = range(-1.0, 1.0, length = 200) + plot!(x_plot, usol.(first(ode.tspan), x_plot), label = L"u^0") + scatter!(fig, x, sol(T).x[2], label = L"u^\mathrm{num}") + plot!(fig, x_plot, usol.(T, x_plot), label = L"u^\mathrm{ana}") + min, max = extrema(sol.u[end].x[2]) + if min > -0.1 && max < 1.1 + plot!(fig, yrange = (-0.1, 1.1)) + end + fig +end + +# ╔═║ 00000000-0000-0000-0000-000000000001 +PLUTO_PROJECT_TOML_CONTENTS = """ +[deps] +LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" +LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" +OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed" +Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" +PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" +Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7" +SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" +SummationByPartsOperators = "9f78cca6-572e-554e-b819-917d2f1cf240" + +[compat] +LaTeXStrings = "~1.3.0" +OrdinaryDiffEq = "~6.51.1" +Plots = "~1.38.8" +PlutoUI = "~0.7.50" +SummationByPartsOperators = "~0.5.30" +""" + +# ╔═║ 00000000-0000-0000-0000-000000000002 +PLUTO_MANIFEST_TOML_CONTENTS = """ +# This file is machine-generated - editing it directly is not advised + +julia_version = "1.9.3" +manifest_format = "2.0" +project_hash = "a88df2a5a24fb1140bc71b03bff7cf93259c2ff9" + +[[deps.AbstractFFTs]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "16b6dbc4cf7caee4e1e75c49485ec67b667098a0" +uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c" +version = "1.3.1" +weakdeps = ["ChainRulesCore"] + + [deps.AbstractFFTs.extensions] + AbstractFFTsChainRulesCoreExt = "ChainRulesCore" + +[[deps.AbstractPlutoDingetjes]] +deps = ["Pkg"] +git-tree-sha1 = "8eaf9f1b4921132a4cff3f36a1d9ba923b14a481" +uuid = "6e696c72-6542-2067-7265-42206c756150" +version = "1.1.4" + +[[deps.Adapt]] +deps = ["LinearAlgebra", "Requires"] +git-tree-sha1 = "cc37d689f599e8df4f464b2fa3870ff7db7492ef" +uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e" +version = "3.6.1" +weakdeps = ["StaticArrays"] + + [deps.Adapt.extensions] + AdaptStaticArraysExt = "StaticArrays" + +[[deps.ArgCheck]] +git-tree-sha1 = "a3a402a35a2f7e0b87828ccabbd5ebfbebe356b4" +uuid = "dce04be8-c92d-5529-be00-80e4d2c0e197" +version = "2.3.0" + +[[deps.ArgTools]] +uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" +version = "1.1.1" + +[[deps.ArnoldiMethod]] +deps = ["LinearAlgebra", "Random", "StaticArrays"] +git-tree-sha1 = "62e51b39331de8911e4a7ff6f5aaf38a5f4cc0ae" +uuid = "ec485272-7323-5ecc-a04f-4719b315124d" +version = "0.2.0" + +[[deps.ArrayInterface]] +deps = ["Adapt", "LinearAlgebra", "Requires", "SnoopPrecompile", "SparseArrays", "SuiteSparse"] +git-tree-sha1 = "38911c7737e123b28182d89027f4216cfc8a9da7" +uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9" +version = "7.4.3" + + [deps.ArrayInterface.extensions] + ArrayInterfaceBandedMatricesExt = "BandedMatrices" + ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices" + ArrayInterfaceCUDAExt = "CUDA" + ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore" + 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" + GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527" + StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c" + Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c" + +[[deps.ArrayInterfaceCore]] +deps = ["LinearAlgebra", "SnoopPrecompile", "SparseArrays", "SuiteSparse"] +git-tree-sha1 = "e5f08b5689b1aad068e01751889f2f615c7db36d" +uuid = "30b0a656-2188-435a-8636-2ec0e6a096e2" +version = "0.1.29" + +[[deps.Artifacts]] +uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" + +[[deps.AutoHashEquals]] +git-tree-sha1 = "45bb6705d93be619b81451bb2006b7ee5d4e4453" +uuid = "15f4f7f2-30c1-5605-9d31-71845cf9641f" +version = "0.2.0" + +[[deps.Base64]] +uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" + +[[deps.BitFlags]] +git-tree-sha1 = "43b1a4a8f797c1cddadf60499a8a077d4af2cd2d" +uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35" +version = "0.1.7" + +[[deps.BitTwiddlingConvenienceFunctions]] +deps = ["Static"] +git-tree-sha1 = "0c5f81f47bbbcf4aea7b2959135713459170798b" +uuid = "62783981-4cbd-42fc-bca8-16325de8dc4b" +version = "0.1.5" + +[[deps.Bzip2_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2" +uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0" +version = "1.0.8+0" + +[[deps.CPUSummary]] +deps = ["CpuId", "IfElse", "Static"] +git-tree-sha1 = "2c144ddb46b552f72d7eafe7cc2f50746e41ea21" +uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9" +version = "0.2.2" + +[[deps.Cairo_jll]] +deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"] +git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2" +uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a" +version = "1.16.1+1" + +[[deps.ChainRulesCore]] +deps = ["Compat", "LinearAlgebra", "SparseArrays"] +git-tree-sha1 = "e30f2f4e20f7f186dc36529910beaedc60cfa644" +uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" +version = "1.16.0" + +[[deps.CloseOpenIntervals]] +deps = ["Static", "StaticArrayInterface"] +git-tree-sha1 = "70232f82ffaab9dc52585e0dd043b5e0c6b714f1" +uuid = "fb6a15b2-703c-40df-9091-08a04967cfa9" +version = "0.1.12" + +[[deps.CodecZlib]] +deps = ["TranscodingStreams", "Zlib_jll"] +git-tree-sha1 = "9c209fb7536406834aa938fb149964b985de6c83" +uuid = "944b1d66-785c-5afd-91f1-9de20f533193" +version = "0.7.1" + +[[deps.ColorSchemes]] +deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"] +git-tree-sha1 = "be6ab11021cd29f0344d5c4357b163af05a48cba" +uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4" +version = "3.21.0" + +[[deps.ColorTypes]] +deps = ["FixedPointNumbers", "Random"] +git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4" +uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f" +version = "0.11.4" + +[[deps.ColorVectorSpace]] +deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"] +git-tree-sha1 = "600cc5508d66b78aae350f7accdb58763ac18589" +uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4" +version = "0.9.10" + +[[deps.Colors]] +deps = ["ColorTypes", "FixedPointNumbers", "Reexport"] +git-tree-sha1 = "fc08e5930ee9a4e03f84bfb5211cb54e7769758a" +uuid = "5ae59095-9a9b-59fe-a467-6f913c188581" +version = "0.12.10" + +[[deps.CommonSolve]] +git-tree-sha1 = "9441451ee712d1aec22edad62db1a9af3dc8d852" +uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2" +version = "0.2.3" + +[[deps.CommonSubexpressions]] +deps = ["MacroTools", "Test"] +git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7" +uuid = "bbf7d656-a473-5ed7-a52c-81e309532950" +version = "0.3.0" + +[[deps.Compat]] +deps = ["UUIDs"] +git-tree-sha1 = "7a60c856b9fa189eb34f5f8a6f6b5529b7942957" +uuid = "34da2185-b29b-5c13-b0c7-acf172513d20" +version = "4.6.1" +weakdeps = ["Dates", "LinearAlgebra"] + + [deps.Compat.extensions] + CompatLinearAlgebraExt = "LinearAlgebra" + +[[deps.CompilerSupportLibraries_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" +version = "1.0.5+0" + +[[deps.ConcurrentUtilities]] +deps = ["Serialization", "Sockets"] +git-tree-sha1 = "96d823b94ba8d187a6d8f0826e731195a74b90e9" +uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb" +version = "2.2.0" + +[[deps.ConstructionBase]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "738fec4d684a9a6ee9598a8bfee305b26831f28c" +uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9" +version = "1.5.2" + + [deps.ConstructionBase.extensions] + ConstructionBaseIntervalSetsExt = "IntervalSets" + ConstructionBaseStaticArraysExt = "StaticArrays" + + [deps.ConstructionBase.weakdeps] + IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953" + StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" + +[[deps.Contour]] +git-tree-sha1 = "d05d9e7b7aedff4e5b51a029dced05cfb6125781" +uuid = "d38c429a-6771-53c6-b99e-75d170b6e991" +version = "0.6.2" + +[[deps.CpuId]] +deps = ["Markdown"] +git-tree-sha1 = "fcbb72b032692610bfbdb15018ac16a36cf2e406" +uuid = "adafc99b-e345-5852-983c-f28acb93d879" +version = "0.3.1" + +[[deps.DataAPI]] +git-tree-sha1 = "e8119c1a33d267e16108be441a287a6981ba1630" +uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a" +version = "1.14.0" + +[[deps.DataStructures]] +deps = ["Compat", "InteractiveUtils", "OrderedCollections"] +git-tree-sha1 = "d1fff3a548102f48987a52a2e0d114fa97d730f0" +uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8" +version = "0.18.13" + +[[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.DelimitedFiles]] +deps = ["Mmap"] +git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae" +uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab" +version = "1.9.1" + +[[deps.DiffEqBase]] +deps = ["ArrayInterface", "ChainRulesCore", "DataStructures", "DocStringExtensions", "EnumX", "FastBroadcast", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "Printf", "RecursiveArrayTools", "Reexport", "Requires", "SciMLBase", "Setfield", "SparseArrays", "Static", "StaticArraysCore", "Statistics", "Tricks", "TruncatedStacktraces", "ZygoteRules"] +git-tree-sha1 = "ed1108bd9a68977d5e0cbd8b2882293337c15f1c" +uuid = "2b5f629d-d688-5b77-993f-72d75c75574e" +version = "6.124.0" + + [deps.DiffEqBase.extensions] + DiffEqBaseDistributionsExt = "Distributions" + DiffEqBaseGeneralizedGeneratedExt = "GeneralizedGenerated" + DiffEqBaseMPIExt = "MPI" + DiffEqBaseMeasurementsExt = "Measurements" + DiffEqBaseMonteCarloMeasurementsExt = "MonteCarloMeasurements" + DiffEqBaseReverseDiffExt = "ReverseDiff" + DiffEqBaseTrackerExt = "Tracker" + DiffEqBaseUnitfulExt = "Unitful" + DiffEqBaseZygoteExt = "Zygote" + + [deps.DiffEqBase.weakdeps] + Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f" + GeneralizedGenerated = "6b9d7cbe-bcb9-11e9-073f-15a7a543e2eb" + MPI = "da04e1cc-30fd-572f-bb4f-1f8673147195" + Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7" + MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca" + ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267" + Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c" + Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d" + Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f" + +[[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 = "a4ad7ef19d2cdc2eff57abbbe68032b1cd0bd8f8" +uuid = "b552c78f-8df3-52c6-915a-8e097449b14b" +version = "1.13.0" + +[[deps.Distances]] +deps = ["LinearAlgebra", "SparseArrays", "Statistics", "StatsAPI"] +git-tree-sha1 = "49eba9ad9f7ead780bfb7ee319f962c811c6d3b2" +uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7" +version = "0.10.8" + +[[deps.Distributed]] +deps = ["Random", "Serialization", "Sockets"] +uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b" + +[[deps.DocStringExtensions]] +deps = ["LibGit2"] +git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d" +uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae" +version = "0.9.3" + +[[deps.Downloads]] +deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"] +uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6" +version = "1.6.0" + +[[deps.EnumX]] +git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237" +uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56" +version = "1.0.4" + +[[deps.Expat_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "bad72f730e9e91c08d9427d5e8db95478a3c323d" +uuid = "2e619515-83b5-522b-bb60-26c02a35a201" +version = "2.4.8+0" + +[[deps.ExponentialUtilities]] +deps = ["Adapt", "ArrayInterface", "GPUArraysCore", "GenericSchur", "LinearAlgebra", "Printf", "SnoopPrecompile", "SparseArrays", "libblastrampoline_jll"] +git-tree-sha1 = "fb7dbef7d2631e2d02c49e2750f7447648b0ec9b" +uuid = "d4d017d3-3776-5f7e-afef-a10c40355c18" +version = "1.24.0" + +[[deps.ExprTools]] +git-tree-sha1 = "c1d06d129da9f55715c6c212866f5b1bddc5fa00" +uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04" +version = "0.1.9" + +[[deps.FFMPEG]] +deps = ["FFMPEG_jll"] +git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8" +uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a" +version = "0.4.1" + +[[deps.FFMPEG_jll]] +deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "PCRE2_jll", "Pkg", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"] +git-tree-sha1 = "74faea50c1d007c85837327f6775bea60b5492dd" +uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5" +version = "4.4.2+2" + +[[deps.FFTW]] +deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"] +git-tree-sha1 = "f9818144ce7c8c41edf5c4c179c684d92aa4d9fe" +uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341" +version = "1.6.0" + +[[deps.FFTW_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea" +uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a" +version = "3.3.10+0" + +[[deps.FastBroadcast]] +deps = ["ArrayInterface", "LinearAlgebra", "Polyester", "Static", "StaticArrayInterface", "StrideArraysCore"] +git-tree-sha1 = "d1248fceea0b26493fd33e8e9e8c553270da03bd" +uuid = "7034ab61-46d4-4ed7-9d0f-46aef9175898" +version = "0.2.5" + +[[deps.FastClosures]] +git-tree-sha1 = "acebe244d53ee1b461970f8910c235b259e772ef" +uuid = "9aa1b823-49e4-5ca5-8b0f-3971ec8bab6a" +version = "0.3.2" + +[[deps.FastGaussQuadrature]] +deps = ["LinearAlgebra", "SpecialFunctions", "StaticArrays"] +git-tree-sha1 = "0f478d8bad6f52573fb7658a263af61f3d96e43a" +uuid = "442a2c76-b920-505d-bb47-c5924d526838" +version = "0.5.1" + +[[deps.FastLapackInterface]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "c1293a93193f0ae94be7cf338d33e162c39d8788" +uuid = "29a986be-02c6-4525-aec4-84b980013641" +version = "1.2.9" + +[[deps.FileWatching]] +uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee" + +[[deps.FiniteDiff]] +deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays", "StaticArrays"] +git-tree-sha1 = "6604e18a0220650dbbea7854938768f15955dd8e" +uuid = "6a86dc24-6348-571c-b903-95158fe2bd41" +version = "2.20.0" + +[[deps.FixedPointNumbers]] +deps = ["Statistics"] +git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc" +uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93" +version = "0.8.4" + +[[deps.Fontconfig_jll]] +deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"] +git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03" +uuid = "a3f928ae-7b40-5064-980b-68af3947d34b" +version = "2.13.93+0" + +[[deps.Formatting]] +deps = ["Printf"] +git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8" +uuid = "59287772-0a20-5a39-b81b-1366585eb4c0" +version = "0.4.2" + +[[deps.ForwardDiff]] +deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"] +git-tree-sha1 = "00e252f4d706b3d55a8863432e742bf5717b498d" +uuid = "f6369f11-7733-5829-9624-2563aa707210" +version = "0.10.35" +weakdeps = ["StaticArrays"] + + [deps.ForwardDiff.extensions] + ForwardDiffStaticArraysExt = "StaticArrays" + +[[deps.FreeType2_jll]] +deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] +git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9" +uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7" +version = "2.10.4+0" + +[[deps.FriBidi_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91" +uuid = "559328eb-81f9-559d-9380-de523a88c83c" +version = "1.0.10+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.GLFW_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll"] +git-tree-sha1 = "d972031d28c8c8d9d7b41a536ad7bb0c2579caca" +uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89" +version = "3.3.8+0" + +[[deps.GPUArraysCore]] +deps = ["Adapt"] +git-tree-sha1 = "1cd7f0af1aa58abc02ea1d872953a97359cb87fa" +uuid = "46192b85-c4d5-4398-a991-12ede77f4527" +version = "0.1.4" + +[[deps.GR]] +deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Preferences", "Printf", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "UUIDs", "p7zip_jll"] +git-tree-sha1 = "efaac003187ccc71ace6c755b197284cd4811bfe" +uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71" +version = "0.72.4" + +[[deps.GR_jll]] +deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt5Base_jll", "Zlib_jll", "libpng_jll"] +git-tree-sha1 = "4486ff47de4c18cb511a0da420efebb314556316" +uuid = "d2c73de3-f751-5644-a686-071e5b155ba9" +version = "0.72.4+0" + +[[deps.GenericSchur]] +deps = ["LinearAlgebra", "Printf"] +git-tree-sha1 = "fb69b2a645fa69ba5f474af09221b9308b160ce6" +uuid = "c145ed77-6b09-5dd9-b285-bf645a82121e" +version = "0.5.3" + +[[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.Glib_jll]] +deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Pkg", "Zlib_jll"] +git-tree-sha1 = "d3b3624125c1474292d0d8ed0f65554ac37ddb23" +uuid = "7746bdde-850d-59dc-9ae8-88ece973131d" +version = "2.74.0+2" + +[[deps.Graphite2_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011" +uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472" +version = "1.3.14+0" + +[[deps.Graphs]] +deps = ["ArnoldiMethod", "Compat", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"] +git-tree-sha1 = "1cf1d7dcb4bc32d7b4a5add4232db3750c27ecb4" +uuid = "86223c79-3864-5bf0-83f7-82e725a168b6" +version = "1.8.0" + +[[deps.Grisu]] +git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2" +uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe" +version = "1.0.2" + +[[deps.HTTP]] +deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"] +git-tree-sha1 = "877b7bc42729aa2c90bbbf5cb0d4294bd6d42e5a" +uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3" +version = "1.9.1" + +[[deps.HarfBuzz_jll]] +deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"] +git-tree-sha1 = "129acf094d168394e80ee1dc4bc06ec835e510a3" +uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566" +version = "2.8.1+1" + +[[deps.HostCPUFeatures]] +deps = ["BitTwiddlingConvenienceFunctions", "IfElse", "Libdl", "Static"] +git-tree-sha1 = "734fd90dd2f920a2f1921d5388dcebe805b262dc" +uuid = "3e5b6fbb-0976-4d2c-9146-d79de83f2fb0" +version = "0.1.14" + +[[deps.Hyperscript]] +deps = ["Test"] +git-tree-sha1 = "8d511d5b81240fc8e6802386302675bdf47737b9" +uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91" +version = "0.0.4" + +[[deps.HypertextLiteral]] +deps = ["Tricks"] +git-tree-sha1 = "c47c5fa4c5308f27ccaac35504858d8914e102f9" +uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2" +version = "0.9.4" + +[[deps.IOCapture]] +deps = ["Logging", "Random"] +git-tree-sha1 = "f7be53659ab06ddc986428d3a9dcc95f6fa6705a" +uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89" +version = "0.2.2" + +[[deps.IfElse]] +git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1" +uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173" +version = "0.1.1" + +[[deps.Inflate]] +git-tree-sha1 = "5cd07aab533df5170988219191dfad0519391428" +uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9" +version = "0.1.3" + +[[deps.IntelOpenMP_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "0cb9352ef2e01574eeebdb102948a58740dcaf83" +uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0" +version = "2023.1.0+0" + +[[deps.InteractiveUtils]] +deps = ["Markdown"] +uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240" + +[[deps.IrrationalConstants]] +git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2" +uuid = "92d709cd-6900-40b7-9082-c6be49f344b6" +version = "0.2.2" + +[[deps.IterativeSolvers]] +deps = ["LinearAlgebra", "Printf", "Random", "RecipesBase", "SparseArrays"] +git-tree-sha1 = "1169632f425f79429f245113b775a0e3d121457c" +uuid = "42fd0dbc-a981-5370-80f2-aaf504508153" +version = "0.9.2" + +[[deps.IteratorInterfaceExtensions]] +git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856" +uuid = "82899510-4779-5014-852e-03e436cf321d" +version = "1.0.0" + +[[deps.JLFzf]] +deps = ["Pipe", "REPL", "Random", "fzf_jll"] +git-tree-sha1 = "f377670cda23b6b7c1c0b3893e37451c5c1a2185" +uuid = "1019f520-868f-41f5-a6de-eb00f4b6a39c" +version = "0.1.5" + +[[deps.JLLWrappers]] +deps = ["Preferences"] +git-tree-sha1 = "abc9885a7ca2052a736a600f7fa66209f96506e1" +uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210" +version = "1.4.1" + +[[deps.JSON]] +deps = ["Dates", "Mmap", "Parsers", "Unicode"] +git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a" +uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" +version = "0.21.4" + +[[deps.JpegTurbo_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "6f2675ef130a300a112286de91973805fcc5ffbc" +uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8" +version = "2.1.91+0" + +[[deps.KLU]] +deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse_jll"] +git-tree-sha1 = "764164ed65c30738750965d55652db9c94c59bfe" +uuid = "ef3ab10e-7fda-4108-b977-705223b18434" +version = "0.4.0" + +[[deps.Krylov]] +deps = ["LinearAlgebra", "Printf", "SparseArrays"] +git-tree-sha1 = "dd90aacbfb622f898a97c2a4411ac49101ebab8a" +uuid = "ba0b0d4f-ebba-5204-a429-3ac8c609bfb7" +version = "0.9.0" + +[[deps.KrylovKit]] +deps = ["ChainRulesCore", "GPUArraysCore", "LinearAlgebra", "Printf"] +git-tree-sha1 = "1a5e1d9941c783b0119897d29f2eb665d876ecf3" +uuid = "0b1a1467-8014-51b9-945f-bf0ae24f4b77" +version = "0.6.0" + +[[deps.LAME_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c" +uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d" +version = "3.100.1+0" + +[[deps.LERC_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434" +uuid = "88015f11-f218-50d7-93a8-a6af411a945d" +version = "3.0.0+1" + +[[deps.LZO_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6" +uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac" +version = "2.10.1+0" + +[[deps.LaTeXStrings]] +git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996" +uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" +version = "1.3.0" + +[[deps.Latexify]] +deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Printf", "Requires"] +git-tree-sha1 = "099e356f267354f46ba65087981a77da23a279b7" +uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316" +version = "0.16.0" + + [deps.Latexify.extensions] + DataFramesExt = "DataFrames" + SymEngineExt = "SymEngine" + + [deps.Latexify.weakdeps] + DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" + SymEngine = "123dc426-2d89-5057-bbad-38513e3affd8" + +[[deps.LayoutPointers]] +deps = ["ArrayInterface", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface"] +git-tree-sha1 = "88b8f66b604da079a627b6fb2860d3704a6729a1" +uuid = "10f19ff3-798f-405d-979b-55457f8fc047" +version = "0.1.14" + +[[deps.Lazy]] +deps = ["MacroTools"] +git-tree-sha1 = "1370f8202dac30758f3c345f9909b97f53d87d3f" +uuid = "50d2b5c4-7a5e-59d5-8109-a42b560f39c0" +version = "0.15.1" + +[[deps.LazyArtifacts]] +deps = ["Artifacts", "Pkg"] +uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3" + +[[deps.LibCURL]] +deps = ["LibCURL_jll", "MozillaCACerts_jll"] +uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21" +version = "0.6.3" + +[[deps.LibCURL_jll]] +deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"] +uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0" +version = "7.84.0+0" + +[[deps.LibGit2]] +deps = ["Base64", "NetworkOptions", "Printf", "SHA"] +uuid = "76f85450-5226-5b5a-8eaa-529ad045b433" + +[[deps.LibSSH2_jll]] +deps = ["Artifacts", "Libdl", "MbedTLS_jll"] +uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8" +version = "1.10.2+0" + +[[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", "Pkg"] +git-tree-sha1 = "64613c82a59c120435c067c2b809fc61cf5166ae" +uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4" +version = "1.8.7+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", "Pkg"] +git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9" +uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8" +version = "1.42.0+0" + +[[deps.Libiconv_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "c7cb1f5d892775ba13767a87c7ada0b980ea0a71" +uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531" +version = "1.16.1+2" + +[[deps.Libmount_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73" +uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9" +version = "2.35.0+0" + +[[deps.Libtiff_jll]] +deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "Pkg", "Zlib_jll", "Zstd_jll"] +git-tree-sha1 = "3eb79b0ca5764d4799c06699573fd8f533259713" +uuid = "89763e89-9b03-5906-acba-b20f662cd828" +version = "4.4.0+0" + +[[deps.Libuuid_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066" +uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700" +version = "2.36.0+0" + +[[deps.LineSearches]] +deps = ["LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "Printf"] +git-tree-sha1 = "7bbea35cec17305fc70a0e5b4641477dc0789d9d" +uuid = "d3d80556-e9d4-5f37-9878-2ab0fcc64255" +version = "7.2.0" + +[[deps.LinearAlgebra]] +deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"] +uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" + +[[deps.LinearSolve]] +deps = ["ArrayInterface", "DocStringExtensions", "EnumX", "FastLapackInterface", "GPUArraysCore", "IterativeSolvers", "KLU", "Krylov", "KrylovKit", "LinearAlgebra", "Preferences", "RecursiveFactorization", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SnoopPrecompile", "SparseArrays", "Sparspak", "SuiteSparse", "UnPack"] +git-tree-sha1 = "4a4f8cc7a59fadbb02d1852d1e0cef5dca3a9460" +uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae" +version = "1.42.0" + + [deps.LinearSolve.extensions] + LinearSolveHYPRE = "HYPRE" + + [deps.LinearSolve.weakdeps] + HYPRE = "b5ffcf37-a2bd-41ab-a3da-4bd9bc8ad771" + +[[deps.LogExpFunctions]] +deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"] +git-tree-sha1 = "0a1b7c2863e44523180fdb3146534e265a91870b" +uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688" +version = "0.3.23" + + [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.LoggingExtras]] +deps = ["Dates", "Logging"] +git-tree-sha1 = "cedb76b37bc5a6c702ade66be44f831fa23c681e" +uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36" +version = "1.0.0" + +[[deps.LoopVectorization]] +deps = ["ArrayInterface", "ArrayInterfaceCore", "CPUSummary", "CloseOpenIntervals", "DocStringExtensions", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "PrecompileTools", "SIMDTypes", "SLEEFPirates", "Static", "StaticArrayInterface", "ThreadingUtilities", "UnPack", "VectorizationBase"] +git-tree-sha1 = "3bb62b5003bc7d2d49f26663484267dc49fa1bf5" +uuid = "bdcacae8-1622-11e9-2a5c-532679323890" +version = "0.12.159" +weakdeps = ["ChainRulesCore", "ForwardDiff", "SpecialFunctions"] + + [deps.LoopVectorization.extensions] + ForwardDiffExt = ["ChainRulesCore", "ForwardDiff"] + SpecialFunctionsExt = "SpecialFunctions" + +[[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", "Pkg"] +git-tree-sha1 = "2ce8695e1e699b68702c03402672a69f54b8aca9" +uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7" +version = "2022.2.0+0" + +[[deps.MacroTools]] +deps = ["Markdown", "Random"] +git-tree-sha1 = "42324d08725e200c23d4dfb549e0d5d89dede2d2" +uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09" +version = "0.5.10" + +[[deps.ManualMemory]] +git-tree-sha1 = "bcaef4fc7a0cfe2cba636d84cda54b5e4e4ca3cd" +uuid = "d125e4d3-2237-4719-b19c-fa641b8a4667" +version = "0.1.8" + +[[deps.Markdown]] +deps = ["Base64"] +uuid = "d6f4376e-aef5-505a-96c1-9c027394607a" + +[[deps.MbedTLS]] +deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "Random", "Sockets"] +git-tree-sha1 = "03a9b9718f5682ecb107ac9f7308991db4ce395b" +uuid = "739be429-bea8-5141-9913-cc70e7f3736d" +version = "1.1.7" + +[[deps.MbedTLS_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1" +version = "2.28.2+0" + +[[deps.Measures]] +git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102" +uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e" +version = "0.3.2" + +[[deps.Missings]] +deps = ["DataAPI"] +git-tree-sha1 = "f66bdc5de519e8f8ae43bdc598782d35a25b1272" +uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28" +version = "1.1.0" + +[[deps.Mmap]] +uuid = "a63ad114-7e13-5084-954f-fe012c677804" + +[[deps.MozillaCACerts_jll]] +uuid = "14a3606d-f60d-562e-9121-12d972cd8159" +version = "2022.10.11" + +[[deps.MuladdMacro]] +git-tree-sha1 = "cac9cc5499c25554cba55cd3c30543cff5ca4fab" +uuid = "46d2c3a1-f734-5fdb-9937-b9b9aeba4221" +version = "0.2.4" + +[[deps.NLSolversBase]] +deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"] +git-tree-sha1 = "a0b464d183da839699f4c79e7606d9d186ec172c" +uuid = "d41bc354-129a-5804-8e4c-c37616107c6c" +version = "7.8.3" + +[[deps.NLsolve]] +deps = ["Distances", "LineSearches", "LinearAlgebra", "NLSolversBase", "Printf", "Reexport"] +git-tree-sha1 = "019f12e9a1a7880459d0173c182e6a99365d7ac1" +uuid = "2774e3e8-f4cf-5e23-947b-6d7e65073b56" +version = "4.5.1" + +[[deps.NaNMath]] +deps = ["OpenLibm_jll"] +git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4" +uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3" +version = "1.0.2" + +[[deps.NetworkOptions]] +uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908" +version = "1.2.0" + +[[deps.NonlinearSolve]] +deps = ["ArrayInterface", "DiffEqBase", "EnumX", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "LinearSolve", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SnoopPrecompile", "SparseArrays", "SparseDiffTools", "StaticArraysCore", "UnPack"] +git-tree-sha1 = "a6000c813371cd3cd9cbbdf8a356fc3a97138d92" +uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec" +version = "1.6.0" + +[[deps.OffsetArrays]] +deps = ["Adapt"] +git-tree-sha1 = "82d7c9e310fe55aa54996e6f7f94674e2a38fcb4" +uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881" +version = "1.12.9" + +[[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 = "0.3.21+4" + +[[deps.OpenLibm_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "05823500-19ac-5b8b-9628-191a04bc5112" +version = "0.8.1+0" + +[[deps.OpenSSL]] +deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"] +git-tree-sha1 = "51901a49222b09e3743c65b8847687ae5fc78eb2" +uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c" +version = "1.4.1" + +[[deps.OpenSSL_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "9ff31d101d987eb9d66bd8b176ac7c277beccd09" +uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95" +version = "1.1.20+0" + +[[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", "Pkg"] +git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720" +uuid = "91d4177d-7536-5919-b921-800302f37372" +version = "1.3.2+0" + +[[deps.OrderedCollections]] +git-tree-sha1 = "d321bf2de576bf25ec4d3e4360faca399afca282" +uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" +version = "1.6.0" + +[[deps.OrdinaryDiffEq]] +deps = ["Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "ExponentialUtilities", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "IfElse", "LineSearches", "LinearAlgebra", "LinearSolve", "Logging", "LoopVectorization", "MacroTools", "MuladdMacro", "NLsolve", "NonlinearSolve", "Polyester", "PreallocationTools", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLNLSolve", "SimpleNonlinearSolve", "SimpleUnPack", "SparseArrays", "SparseDiffTools", "StaticArrayInterface", "StaticArrays", "TruncatedStacktraces"] +git-tree-sha1 = "47fc5cf4174a7d45fa541669abc5405d9ef6b8df" +uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed" +version = "6.51.1" + +[[deps.PCRE2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15" +version = "10.42.0+0" + +[[deps.Parameters]] +deps = ["OrderedCollections", "UnPack"] +git-tree-sha1 = "34c0e9ad262e5f7fc75b10a9952ca7692cfc5fbe" +uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a" +version = "0.12.3" + +[[deps.Parsers]] +deps = ["Dates", "SnoopPrecompile"] +git-tree-sha1 = "478ac6c952fddd4399e71d4779797c538d0ff2bf" +uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0" +version = "2.5.8" + +[[deps.Pipe]] +git-tree-sha1 = "6842804e7867b115ca9de748a0cf6b364523c16d" +uuid = "b98c9c47-44ae-5843-9183-064241ee97a0" +version = "1.3.0" + +[[deps.Pixman_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29" +uuid = "30392449-352a-5448-841d-b1acce4e97dc" +version = "0.40.1+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 = "1.9.2" + +[[deps.PlotThemes]] +deps = ["PlotUtils", "Statistics"] +git-tree-sha1 = "1f03a2d339f42dca4a4da149c7e15e9b896ad899" +uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a" +version = "3.1.0" + +[[deps.PlotUtils]] +deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"] +git-tree-sha1 = "f92e1315dadf8c46561fb9396e525f7200cdc227" +uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043" +version = "1.3.5" + +[[deps.Plots]] +deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Preferences", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "Unzip"] +git-tree-sha1 = "6c7f47fd112001fc95ea1569c2757dffd9e81328" +uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" +version = "1.38.11" + + [deps.Plots.extensions] + FileIOExt = "FileIO" + GeometryBasicsExt = "GeometryBasics" + IJuliaExt = "IJulia" + ImageInTerminalExt = "ImageInTerminal" + UnitfulExt = "Unitful" + + [deps.Plots.weakdeps] + FileIO = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549" + GeometryBasics = "5c1252a2-5f33-56bf-86c9-59e7332b4326" + IJulia = "7073ff75-c697-5162-941a-fcdaad2a7d2a" + ImageInTerminal = "d8c32880-2388-543b-8c61-d9f865259254" + Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d" + +[[deps.PlutoUI]] +deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "FixedPointNumbers", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "MIMEs", "Markdown", "Random", "Reexport", "URIs", "UUIDs"] +git-tree-sha1 = "b478a748be27bd2f2c73a7690da219d0844db305" +uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8" +version = "0.7.51" + +[[deps.Polyester]] +deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Requires", "Static", "StaticArrayInterface", "StrideArraysCore", "ThreadingUtilities"] +git-tree-sha1 = "0fe4e7c4d8ff4c70bfa507f0dd96fa161b115777" +uuid = "f517fe37-dbe3-4b94-8317-1923a5111588" +version = "0.7.3" + +[[deps.PolyesterWeave]] +deps = ["BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "Static", "ThreadingUtilities"] +git-tree-sha1 = "240d7170f5ffdb285f9427b92333c3463bf65bf6" +uuid = "1d0040c9-8b98-4ee7-8388-3f51789ca0ad" +version = "0.2.1" + +[[deps.PolynomialBases]] +deps = ["ArgCheck", "AutoHashEquals", "FFTW", "FastGaussQuadrature", "LinearAlgebra", "Requires", "SimpleUnPack", "SpecialFunctions"] +git-tree-sha1 = "b6a02c79b22a5642eed205318da472ca57f4a7de" +uuid = "c74db56a-226d-5e98-8bb0-a6049094aeea" +version = "0.4.18" + +[[deps.PreallocationTools]] +deps = ["Adapt", "ArrayInterface", "ForwardDiff", "Requires"] +git-tree-sha1 = "f739b1b3cc7b9949af3b35089931f2b58c289163" +uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46" +version = "0.4.12" + + [deps.PreallocationTools.extensions] + PreallocationToolsReverseDiffExt = "ReverseDiff" + + [deps.PreallocationTools.weakdeps] + ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267" + +[[deps.PrecompileTools]] +deps = ["Preferences"] +git-tree-sha1 = "259e206946c293698122f63e2b513a7c99a244e8" +uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a" +version = "1.1.1" + +[[deps.Preferences]] +deps = ["TOML"] +git-tree-sha1 = "7eb1686b4f04b82f96ed7a4ea5890a4f0c7a09f1" +uuid = "21216c6a-2e73-6563-6e65-726566657250" +version = "1.4.0" + +[[deps.Printf]] +deps = ["Unicode"] +uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" + +[[deps.Qt5Base_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "xkbcommon_jll"] +git-tree-sha1 = "0c03844e2231e12fda4d0086fd7cbe4098ee8dc5" +uuid = "ea2cea3b-5b76-57ae-a6ef-0a8af62496e1" +version = "5.15.3+2" + +[[deps.REPL]] +deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"] +uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb" + +[[deps.Random]] +deps = ["SHA", "Serialization"] +uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" + +[[deps.RecipesBase]] +deps = ["PrecompileTools"] +git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff" +uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01" +version = "1.3.4" + +[[deps.RecipesPipeline]] +deps = ["Dates", "NaNMath", "PlotUtils", "PrecompileTools", "RecipesBase"] +git-tree-sha1 = "45cf9fd0ca5839d06ef333c8201714e888486342" +uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c" +version = "0.6.12" + +[[deps.RecursiveArrayTools]] +deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "Requires", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"] +git-tree-sha1 = "68078e9fa9130a6a768815c48002d0921a232c11" +uuid = "731186ca-8d62-57ce-b412-fbd966d074cd" +version = "2.38.4" + + [deps.RecursiveArrayTools.extensions] + RecursiveArrayToolsMeasurementsExt = "Measurements" + RecursiveArrayToolsTrackerExt = "Tracker" + RecursiveArrayToolsZygoteExt = "Zygote" + + [deps.RecursiveArrayTools.weakdeps] + Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7" + Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c" + Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f" + +[[deps.RecursiveFactorization]] +deps = ["LinearAlgebra", "LoopVectorization", "Polyester", "SnoopPrecompile", "StrideArraysCore", "TriangularSolve"] +git-tree-sha1 = "9088515ad915c99026beb5436d0a09cd8c18163e" +uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4" +version = "0.2.18" + +[[deps.Reexport]] +git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b" +uuid = "189a3867-3050-52da-a836-e630ba90ab69" +version = "1.2.2" + +[[deps.RelocatableFolders]] +deps = ["SHA", "Scratch"] +git-tree-sha1 = "90bc7a7c96410424509e4263e277e43250c05691" +uuid = "05181044-ff0b-4ac5-8273-598c1e38db00" +version = "1.0.0" + +[[deps.Requires]] +deps = ["UUIDs"] +git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7" +uuid = "ae029012-a4dd-5104-9daa-d747884805df" +version = "1.3.0" + +[[deps.RuntimeGeneratedFunctions]] +deps = ["ExprTools", "SHA", "Serialization"] +git-tree-sha1 = "d7d9ebe28062161c1e314ed643097b0c6fe657d9" +uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47" +version = "0.5.7" + +[[deps.SHA]] +uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce" +version = "0.7.0" + +[[deps.SIMDTypes]] +git-tree-sha1 = "330289636fb8107c5f32088d2741e9fd7a061a5c" +uuid = "94e857df-77ce-4151-89e5-788b33177be4" +version = "0.1.0" + +[[deps.SLEEFPirates]] +deps = ["IfElse", "Static", "VectorizationBase"] +git-tree-sha1 = "cda0aece8080e992f6370491b08ef3909d1c04e7" +uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa" +version = "0.6.38" + +[[deps.SciMLBase]] +deps = ["ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "Preferences", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SnoopPrecompile", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "TruncatedStacktraces"] +git-tree-sha1 = "392d3e28b05984496af37100ded94dc46fa6c8de" +uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462" +version = "1.91.7" + +[[deps.SciMLNLSolve]] +deps = ["DiffEqBase", "LineSearches", "NLsolve", "Reexport", "SciMLBase"] +git-tree-sha1 = "a8eb97c56cac50c21096582afb2a0110784dc36e" +uuid = "e9a6253c-8580-4d32-9898-8661bb511710" +version = "0.1.6" + +[[deps.SciMLOperators]] +deps = ["ArrayInterface", "DocStringExtensions", "Lazy", "LinearAlgebra", "Setfield", "SparseArrays", "StaticArraysCore", "Tricks"] +git-tree-sha1 = "d4b254372887d7cbad20ef34021cd69cb0e1d05f" +uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961" +version = "0.2.4" + +[[deps.Scratch]] +deps = ["Dates"] +git-tree-sha1 = "30449ee12237627992a99d5e30ae63e4d78cd24a" +uuid = "6c6a2e73-6563-6170-7368-637461726353" +version = "1.2.0" + +[[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.SharedArrays]] +deps = ["Distributed", "Mmap", "Random", "Serialization"] +uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383" + +[[deps.Showoff]] +deps = ["Dates", "Grisu"] +git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de" +uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f" +version = "1.0.3" + +[[deps.SimpleBufferStream]] +git-tree-sha1 = "874e8867b33a00e784c8a7e4b60afe9e037b74e1" +uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7" +version = "1.1.0" + +[[deps.SimpleNonlinearSolve]] +deps = ["ArrayInterface", "DiffEqBase", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "Reexport", "Requires", "SciMLBase", "SnoopPrecompile", "StaticArraysCore"] +git-tree-sha1 = "54c78ac3cc0343a16785adabe5bbf4063c737967" +uuid = "727e6d20-b764-4bd8-a329-72de5adea6c7" +version = "0.1.14" + + [deps.SimpleNonlinearSolve.extensions] + SimpleBatchedNonlinearSolveExt = "NNlib" + + [deps.SimpleNonlinearSolve.weakdeps] + NNlib = "872c559c-99b0-510c-b3b7-b6c96a88d5cd" + +[[deps.SimpleTraits]] +deps = ["InteractiveUtils", "MacroTools"] +git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231" +uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d" +version = "0.9.4" + +[[deps.SimpleUnPack]] +git-tree-sha1 = "58e6353e72cde29b90a69527e56df1b5c3d8c437" +uuid = "ce78b400-467f-4804-87d8-8f486da07d0a" +version = "1.1.0" + +[[deps.SnoopPrecompile]] +deps = ["Preferences"] +git-tree-sha1 = "e760a70afdcd461cf01a575947738d359234665c" +uuid = "66db9d55-30c0-4569-8b51-7e840670fc0c" +version = "1.0.3" + +[[deps.Sockets]] +uuid = "6462fe0b-24de-5631-8697-dd941f90decc" + +[[deps.SortingAlgorithms]] +deps = ["DataStructures"] +git-tree-sha1 = "a4ada03f999bd01b3a25dcaa30b2d929fe537e00" +uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c" +version = "1.1.0" + +[[deps.SparseArrays]] +deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"] +uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" + +[[deps.SparseDiffTools]] +deps = ["Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays", "VertexSafeGraphs"] +git-tree-sha1 = "e19ac47477c9a8fcca06dab5e5471417d5d9d723" +uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804" +version = "1.31.0" + +[[deps.Sparspak]] +deps = ["Libdl", "LinearAlgebra", "Logging", "OffsetArrays", "Printf", "SparseArrays", "Test"] +git-tree-sha1 = "342cf4b449c299d8d1ceaf00b7a49f4fbc7940e7" +uuid = "e56a9233-b9d6-4f03-8d0f-1825330902ac" +version = "0.3.9" + +[[deps.SpecialFunctions]] +deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"] +git-tree-sha1 = "ef28127915f4229c971eb43f3fc075dd3fe91880" +uuid = "276daf66-3868-5448-9aa4-cd146d93841b" +version = "2.2.0" +weakdeps = ["ChainRulesCore"] + + [deps.SpecialFunctions.extensions] + SpecialFunctionsChainRulesCoreExt = "ChainRulesCore" + +[[deps.Static]] +deps = ["IfElse"] +git-tree-sha1 = "dbde6766fc677423598138a5951269432b0fcc90" +uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3" +version = "0.8.7" + +[[deps.StaticArrayInterface]] +deps = ["ArrayInterface", "Compat", "IfElse", "LinearAlgebra", "Requires", "SnoopPrecompile", "SparseArrays", "Static", "SuiteSparse"] +git-tree-sha1 = "33040351d2403b84afce74dae2e22d3f5b18edcb" +uuid = "0d7ed370-da01-4f52-bd93-41d350b8b718" +version = "1.4.0" +weakdeps = ["OffsetArrays", "StaticArrays"] + + [deps.StaticArrayInterface.extensions] + StaticArrayInterfaceOffsetArraysExt = "OffsetArrays" + StaticArrayInterfaceStaticArraysExt = "StaticArrays" + +[[deps.StaticArrays]] +deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"] +git-tree-sha1 = "c262c8e978048c2b095be1672c9bee55b4619521" +uuid = "90137ffa-7385-5640-81b9-e52037218182" +version = "1.5.24" + +[[deps.StaticArraysCore]] +git-tree-sha1 = "6b7ba252635a5eff6a0b0664a41ee140a1c9e72a" +uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c" +version = "1.4.0" + +[[deps.Statistics]] +deps = ["LinearAlgebra", "SparseArrays"] +uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" +version = "1.9.0" + +[[deps.StatsAPI]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "45a7769a04a3cf80da1c1c7c60caf932e6f4c9f7" +uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0" +version = "1.6.0" + +[[deps.StatsBase]] +deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"] +git-tree-sha1 = "d1bf48bfcc554a3761a133fe3a9bb01488e06916" +uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91" +version = "0.33.21" + +[[deps.StrideArraysCore]] +deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface", "ThreadingUtilities"] +git-tree-sha1 = "5ffcee1813efc849f188dce82ca1553bd5f3a476" +uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da" +version = "0.4.14" + +[[deps.SuiteSparse]] +deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"] +uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9" + +[[deps.SuiteSparse_jll]] +deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"] +uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c" +version = "5.10.1+6" + +[[deps.SummationByPartsOperators]] +deps = ["ArgCheck", "AutoHashEquals", "FFTW", "InteractiveUtils", "LinearAlgebra", "LoopVectorization", "MuladdMacro", "PolynomialBases", "PrecompileTools", "RecursiveArrayTools", "Reexport", "Requires", "SciMLBase", "SimpleUnPack", "SparseArrays", "StaticArrayInterface", "StaticArrays", "Unrolled"] +git-tree-sha1 = "bb016e62bb98f7c890969253baea44d5f1a7adde" +uuid = "9f78cca6-572e-554e-b819-917d2f1cf240" +version = "0.5.34" + + [deps.SummationByPartsOperators.extensions] + BandedMatricesExt = "BandedMatrices" + DiffEqCallbacksExt = "DiffEqCallbacks" + StructArraysExt = "StructArrays" + + [deps.SummationByPartsOperators.weakdeps] + BandedMatrices = "aae01518-5342-5314-be14-df237901396f" + DiffEqCallbacks = "459566f4-90b8-5000-8ac3-15dfb0a30def" + StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a" + +[[deps.SymbolicIndexingInterface]] +deps = ["DocStringExtensions"] +git-tree-sha1 = "f8ab052bfcbdb9b48fad2c80c873aa0d0344dfe5" +uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5" +version = "0.2.2" + +[[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", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"] +git-tree-sha1 = "1544b926975372da01227b382066ab70e574a3ec" +uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c" +version = "1.10.1" + +[[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.Test]] +deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] +uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" + +[[deps.ThreadingUtilities]] +deps = ["ManualMemory"] +git-tree-sha1 = "c97f60dd4f2331e1a495527f80d242501d2f9865" +uuid = "8290d209-cae3-49c0-8002-c8c24d57dab5" +version = "0.5.1" + +[[deps.TranscodingStreams]] +deps = ["Random", "Test"] +git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769" +uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa" +version = "0.9.13" + +[[deps.TriangularSolve]] +deps = ["CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "LoopVectorization", "Polyester", "Static", "VectorizationBase"] +git-tree-sha1 = "31eedbc0b6d07c08a700e26d31298ac27ef330eb" +uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf" +version = "0.1.19" + +[[deps.Tricks]] +git-tree-sha1 = "aadb748be58b492045b4f56166b5188aa63ce549" +uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775" +version = "0.1.7" + +[[deps.TruncatedStacktraces]] +deps = ["InteractiveUtils", "MacroTools", "Preferences"] +git-tree-sha1 = "7bc1632a4eafbe9bd94cf1a784a9a4eb5e040a91" +uuid = "781d530d-4396-4725-bb49-402e4bee1e77" +version = "1.3.0" + +[[deps.URIs]] +git-tree-sha1 = "074f993b0ca030848b897beff716d93aca60f06a" +uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4" +version = "1.4.2" + +[[deps.UUIDs]] +deps = ["Random", "SHA"] +uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4" + +[[deps.UnPack]] +git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b" +uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed" +version = "1.0.2" + +[[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.Unrolled]] +deps = ["MacroTools"] +git-tree-sha1 = "6cc9d682755680e0f0be87c56392b7651efc2c7b" +uuid = "9602ed7d-8fef-5bc8-8597-8f21381861e8" +version = "0.1.5" + +[[deps.Unzip]] +git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78" +uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d" +version = "0.2.0" + +[[deps.VectorizationBase]] +deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static", "StaticArrayInterface"] +git-tree-sha1 = "b182207d4af54ac64cbc71797765068fdeff475d" +uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f" +version = "0.21.64" + +[[deps.VertexSafeGraphs]] +deps = ["Graphs"] +git-tree-sha1 = "8351f8d73d7e880bfc042a8b6922684ebeafb35c" +uuid = "19fa3120-7c27-5ec5-8db8-b0b0aa330d6f" +version = "0.2.0" + +[[deps.Wayland_jll]] +deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"] +git-tree-sha1 = "ed8d92d9774b077c53e1da50fd81a36af3744c1c" +uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89" +version = "1.21.0+0" + +[[deps.Wayland_protocols_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "4528479aa01ee1b3b4cd0e6faef0e04cf16466da" +uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91" +version = "1.25.0+0" + +[[deps.XML2_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"] +git-tree-sha1 = "93c41695bc1c08c46c5899f4fe06d6ead504bb73" +uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a" +version = "2.10.3+0" + +[[deps.XSLT_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"] +git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a" +uuid = "aed1982a-8fda-507f-9586-7b0439959a61" +version = "1.1.34+0" + +[[deps.Xorg_libX11_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"] +git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527" +uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc" +version = "1.6.9+4" + +[[deps.Xorg_libXau_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e" +uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec" +version = "1.0.9+4" + +[[deps.Xorg_libXcursor_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"] +git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd" +uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724" +version = "1.2.0+4" + +[[deps.Xorg_libXdmcp_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4" +uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05" +version = "1.1.3+4" + +[[deps.Xorg_libXext_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] +git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3" +uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3" +version = "1.3.4+4" + +[[deps.Xorg_libXfixes_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] +git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4" +uuid = "d091e8ba-531a-589c-9de9-94069b037ed8" +version = "5.0.3+4" + +[[deps.Xorg_libXi_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"] +git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246" +uuid = "a51aa0fd-4e3c-5386-b890-e753decda492" +version = "1.7.10+4" + +[[deps.Xorg_libXinerama_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"] +git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123" +uuid = "d1454406-59df-5ea1-beac-c340f2130bc3" +version = "1.1.4+4" + +[[deps.Xorg_libXrandr_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"] +git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631" +uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484" +version = "1.5.2+4" + +[[deps.Xorg_libXrender_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] +git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96" +uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa" +version = "0.9.10+4" + +[[deps.Xorg_libpthread_stubs_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb" +uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74" +version = "0.1.0+3" + +[[deps.Xorg_libxcb_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"] +git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6" +uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b" +version = "1.13.0+3" + +[[deps.Xorg_libxkbfile_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] +git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2" +uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a" +version = "1.1.0+4" + +[[deps.Xorg_xcb_util_image_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] +git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97" +uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b" +version = "0.4.0+1" + +[[deps.Xorg_xcb_util_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"] +git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1" +uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5" +version = "0.4.0+1" + +[[deps.Xorg_xcb_util_keysyms_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] +git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00" +uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7" +version = "0.4.0+1" + +[[deps.Xorg_xcb_util_renderutil_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] +git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e" +uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e" +version = "0.3.9+1" + +[[deps.Xorg_xcb_util_wm_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] +git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67" +uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361" +version = "0.4.1+1" + +[[deps.Xorg_xkbcomp_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"] +git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b" +uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4" +version = "1.4.2+4" + +[[deps.Xorg_xkeyboard_config_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"] +git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d" +uuid = "33bec58e-1273-512f-9401-5d533626f822" +version = "2.27.0+4" + +[[deps.Xorg_xtrans_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845" +uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" +version = "1.4.0+3" + +[[deps.Zlib_jll]] +deps = ["Libdl"] +uuid = "83775a58-1f1d-513f-b197-d71354ab007a" +version = "1.2.13+0" + +[[deps.Zstd_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "49ce682769cd5de6c72dcf1b94ed7790cd08974c" +uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" +version = "1.5.5+0" + +[[deps.ZygoteRules]] +deps = ["ChainRulesCore", "MacroTools"] +git-tree-sha1 = "977aed5d006b840e2e40c0b48984f7463109046d" +uuid = "700de1a5-db45-46bc-99cf-38207098b444" +version = "0.2.3" + +[[deps.fzf_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "868e669ccb12ba16eaf50cb2957ee2ff61261c56" +uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09" +version = "0.29.0+0" + +[[deps.libaom_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4" +uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b" +version = "3.4.0+0" + +[[deps.libass_jll]] +deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] +git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47" +uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0" +version = "0.15.1+0" + +[[deps.libblastrampoline_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" +version = "5.8.0+0" + +[[deps.libfdk_aac_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55" +uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" +version = "2.0.2+0" + +[[deps.libpng_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] +git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" +uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" +version = "1.6.38+0" + +[[deps.libvorbis_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] +git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" +uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" +version = "1.3.7+1" + +[[deps.nghttp2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" +version = "1.48.0+0" + +[[deps.p7zip_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" +version = "17.4.0+0" + +[[deps.x264_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2" +uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" +version = "2021.5.5+0" + +[[deps.x265_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9" +uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" +version = "3.5.0+0" + +[[deps.xkbcommon_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"] +git-tree-sha1 = "9ebfc140cc56e8c2156a15ceac2f0302e327ac0a" +uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd" +version = "1.4.1+0" +""" + +# ╔═║ Cell order: +# β•Ÿβ”€5b4bf62a-ece2-4f2e-b506-be744deedb5f +# β•Ÿβ”€ede66c45-4b31-4a62-a312-e635db7646b1 +# ╠═69cea251-ee9d-44dd-9714-f7a0e60601f1 +# ╠═a4090148-0ebc-48fc-b98a-8888570c2da2 +# ╠═c223c2ae-4ddc-4a5c-b66b-561724c6c01d +# ╠═3ffd2a9f-eb6a-4ae3-9399-524a87617a24 +# β•Ÿβ”€97dee24c-73e4-4186-a1a4-ea4e4c8a6104 +# ╠═34f0cbe9-00b3-4e50-a097-054770a27eff +# ╠═15ce050a-02d0-4ade-be57-84c6568ed7e3 +# ╠═d44daaa1-701c-4a4d-930d-76f9fcff8e6d +# β•Ÿβ”€49013e3e-4a23-11ed-3281-85e869263467 +# β•Ÿβ”€415276e3-6bf4-4337-986d-820ec282ea0b +# β•Ÿβ”€46f8b441-af8f-40e3-9856-acfd69d70c20 +# β•Ÿβ”€0a071947-9e23-4218-9436-915f08e1a83c +# β•Ÿβ”€80620afb-7a5f-4511-9afd-d80c9d045885 +# β•Ÿβ”€27b7b87b-5d76-4893-9d32-9b1fd7d200b1 +# β•Ÿβ”€2b28849d-c3d4-4f69-80c7-60ce5cb6f487 +# β•Ÿβ”€417e5583-7d99-4eac-953f-b84cce3a72b0 +# β•Ÿβ”€668f1ccd-7e7a-4d6e-b3f5-23a8389244e2 +# β•Ÿβ”€823036b2-f41d-4642-995f-4e96cc6f9f15 +# ╠═e3c5952c-2125-416e-a718-ccf5db02933a +# ╠═9b552053-cd6e-463c-946b-da4c7a668a5a +# ╠═de2b4bee-ca03-47e6-9b5c-be3bf7f87bb4 +# ╠═bcec0bba-2f5d-49d7-a0d3-e4ba50afabc0 +# ╠═176d6bba-933b-4904-84be-92aef76250ac +# ╠═7a3580a3-3cb2-4282-a9f3-b32702d8c8f7 +# ╠═550930ed-7815-46a5-b228-7c1eba2aa614 +# ╠═de68c071-b710-498b-abb4-2b729250e09a +# ╠═982e9af9-ba93-4855-bb0a-a3bd4249ab2c +# ╠═dd98c2bd-b0b9-4c73-8ff7-e66d31c05204 +# ╠═13e33aa8-f7b4-4a28-b6ff-9c4351af361c +# β•Ÿβ”€00000000-0000-0000-0000-000000000001 +# β•Ÿβ”€00000000-0000-0000-0000-000000000002