From 9ce08147509883e0a767842eaadd8c5da1c9aa25 Mon Sep 17 00:00:00 2001
From: Enrico Lumetti <enrico.lumetti@gmail.com>
Date: Fri, 13 Aug 2021 01:15:53 +0200
Subject: [PATCH] Add simple resistor example

---
 MechatronicsModeling.jl/Manifest.toml | 1473 +++++++++++++++++++++++++
 MechatronicsModeling.jl/Project.toml  |    4 +
 MechatronicsModeling.jl/r_circuit.jl  |   41 +
 3 files changed, 1518 insertions(+)
 create mode 100644 MechatronicsModeling.jl/Manifest.toml
 create mode 100644 MechatronicsModeling.jl/Project.toml
 create mode 100644 MechatronicsModeling.jl/r_circuit.jl

diff --git a/MechatronicsModeling.jl/Manifest.toml b/MechatronicsModeling.jl/Manifest.toml
new file mode 100644
index 0000000..1cd8282
--- /dev/null
+++ b/MechatronicsModeling.jl/Manifest.toml
@@ -0,0 +1,1473 @@
+# This file is machine-generated - editing it directly is not advised
+
+[[AbstractFFTs]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "485ee0867925449198280d4af84bdb46a2a404d0"
+uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
+version = "1.0.1"
+
+[[AbstractTrees]]
+git-tree-sha1 = "03e0550477d86222521d254b741d470ba17ea0b5"
+uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
+version = "0.3.4"
+
+[[Adapt]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "84918055d15b3114ede17ac6a7182f68870c16f7"
+uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
+version = "3.3.1"
+
+[[Animations]]
+deps = ["Colors"]
+git-tree-sha1 = "e81c509d2c8e49592413bfb0bb3b08150056c79d"
+uuid = "27a7e980-b3e6-11e9-2bcd-0b925532e340"
+version = "0.4.1"
+
+[[ArgTools]]
+uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
+
+[[ArnoldiMethod]]
+deps = ["LinearAlgebra", "Random", "StaticArrays"]
+git-tree-sha1 = "f87e559f87a45bece9c9ed97458d3afe98b1ebb9"
+uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
+version = "0.1.0"
+
+[[ArrayInterface]]
+deps = ["IfElse", "LinearAlgebra", "Requires", "SparseArrays", "Static"]
+git-tree-sha1 = "045ff5e1bc8c6fb1ecb28694abba0a0d55b5f4f5"
+uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
+version = "3.1.17"
+
+[[Artifacts]]
+uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
+
+[[Automa]]
+deps = ["Printf", "ScanByte", "TranscodingStreams"]
+git-tree-sha1 = "d50976f217489ce799e366d9561d56a98a30d7fe"
+uuid = "67c07d97-cdcb-5c2c-af73-a7f9c32a568b"
+version = "0.8.2"
+
+[[AxisAlgorithms]]
+deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
+git-tree-sha1 = "a4d07a1c313392a77042855df46c5f534076fab9"
+uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
+version = "1.0.0"
+
+[[Base64]]
+uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
+
+[[Bzip2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
+uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
+version = "1.0.8+0"
+
+[[CEnum]]
+git-tree-sha1 = "215a9aa4a1f23fbd05b92769fdd62559488d70e9"
+uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
+version = "0.4.1"
+
+[[CSTParser]]
+deps = ["Tokenize"]
+git-tree-sha1 = "b2667530e42347b10c10ba6623cfebc09ac5c7b6"
+uuid = "00ebfdb7-1f24-5e51-bd34-a7502290713f"
+version = "3.2.4"
+
+[[Cairo_jll]]
+deps = ["Artifacts", "Bzip2_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 = "f2202b55d816427cd385a9a4f3ffb226bee80f99"
+uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
+version = "1.16.1+0"
+
+[[ChainRulesCore]]
+deps = ["Compat", "LinearAlgebra", "SparseArrays"]
+git-tree-sha1 = "bdc0937269321858ab2a4f288486cb258b9a0af7"
+uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+version = "1.3.0"
+
+[[ColorBrewer]]
+deps = ["Colors", "JSON", "Test"]
+git-tree-sha1 = "61c5334f33d91e570e1d0c3eb5465835242582c4"
+uuid = "a2cac450-b92f-5266-8821-25eda20663c8"
+version = "0.4.0"
+
+[[ColorSchemes]]
+deps = ["ColorTypes", "Colors", "FixedPointNumbers", "Random"]
+git-tree-sha1 = "9995eb3977fbf67b86d0a0a0508e83017ded03f2"
+uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
+version = "3.14.0"
+
+[[ColorTypes]]
+deps = ["FixedPointNumbers", "Random"]
+git-tree-sha1 = "32a2b8af383f11cbb65803883837a149d10dfe8a"
+uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
+version = "0.10.12"
+
+[[ColorVectorSpace]]
+deps = ["ColorTypes", "Colors", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "StatsBase"]
+git-tree-sha1 = "4d17724e99f357bfd32afa0a9e2dda2af31a9aea"
+uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
+version = "0.8.7"
+
+[[Colors]]
+deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
+git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40"
+uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
+version = "0.12.8"
+
+[[Combinatorics]]
+git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
+uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
+version = "1.0.2"
+
+[[CommonMark]]
+deps = ["Crayons", "JSON", "URIs"]
+git-tree-sha1 = "1060c5023d2ac8210c73078cb7c0c567101d201c"
+uuid = "a80b9123-70ca-4bc0-993e-6e3bcb318db6"
+version = "0.8.2"
+
+[[CommonSolve]]
+git-tree-sha1 = "68a0743f578349ada8bc911a5cbd5a2ef6ed6d1f"
+uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
+version = "0.2.0"
+
+[[CommonSubexpressions]]
+deps = ["MacroTools", "Test"]
+git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
+uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
+version = "0.3.0"
+
+[[Compat]]
+deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
+git-tree-sha1 = "344f143fa0ec67e47917848795ab19c6a455f32c"
+uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
+version = "3.32.0"
+
+[[CompilerSupportLibraries_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
+
+[[CompositeTypes]]
+git-tree-sha1 = "d5b014b216dc891e81fea299638e4c10c657b582"
+uuid = "b152e2b5-7a66-4b01-a709-34e65c35f657"
+version = "0.1.2"
+
+[[ConstructionBase]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "f74e9d5388b8620b4cee35d4c5a618dd4dc547f4"
+uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
+version = "1.3.0"
+
+[[Contour]]
+deps = ["StaticArrays"]
+git-tree-sha1 = "9f02045d934dc030edad45944ea80dbd1f0ebea7"
+uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
+version = "0.5.7"
+
+[[Crayons]]
+git-tree-sha1 = "3f71217b538d7aaee0b69ab47d9b7724ca8afa0d"
+uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
+version = "4.0.4"
+
+[[DataAPI]]
+git-tree-sha1 = "ee400abb2298bd13bfc3df1c412ed228061a2385"
+uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
+version = "1.7.0"
+
+[[DataStructures]]
+deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
+git-tree-sha1 = "7d9d316f04214f7efdbb6398d545446e246eff02"
+uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
+version = "0.18.10"
+
+[[DataValueInterfaces]]
+git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
+uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
+version = "1.0.0"
+
+[[Dates]]
+deps = ["Printf"]
+uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
+
+[[DelimitedFiles]]
+deps = ["Mmap"]
+uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
+
+[[DiffEqBase]]
+deps = ["ArrayInterface", "ChainRulesCore", "DataStructures", "DocStringExtensions", "FastBroadcast", "FunctionWrappers", "IterativeSolvers", "LabelledArrays", "LinearAlgebra", "Logging", "MuladdMacro", "NonlinearSolve", "Parameters", "Printf", "RecursiveArrayTools", "RecursiveFactorization", "Reexport", "Requires", "SciMLBase", "Setfield", "SparseArrays", "StaticArrays", "Statistics", "SuiteSparse", "ZygoteRules"]
+git-tree-sha1 = "9d312bb0b7c8ace440a71c64330cf1bea0ade0c8"
+uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
+version = "6.70.0"
+
+[[DiffEqCallbacks]]
+deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "LinearAlgebra", "NLsolve", "OrdinaryDiffEq", "RecipesBase", "RecursiveArrayTools", "StaticArrays"]
+git-tree-sha1 = "0972ca167952dc426b5438fc188b846b7a66a1f3"
+uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
+version = "2.16.1"
+
+[[DiffEqJump]]
+deps = ["ArrayInterface", "Compat", "DataStructures", "DiffEqBase", "FunctionWrappers", "LightGraphs", "LinearAlgebra", "PoissonRandom", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "StaticArrays", "TreeViews", "UnPack"]
+git-tree-sha1 = "fb7cb8909880cfa70d134aac3fbd486a908e56ce"
+uuid = "c894b116-72e5-5b58-be3c-e6d8d4ac2b12"
+version = "7.2.0"
+
+[[DiffResults]]
+deps = ["StaticArrays"]
+git-tree-sha1 = "c18e98cba888c6c25d1c3b048e4b3380ca956805"
+uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
+version = "1.0.3"
+
+[[DiffRules]]
+deps = ["NaNMath", "Random", "SpecialFunctions"]
+git-tree-sha1 = "85d2d9e2524da988bffaf2a381864e20d2dae08d"
+uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
+version = "1.2.1"
+
+[[Distances]]
+deps = ["LinearAlgebra", "Statistics", "StatsAPI"]
+git-tree-sha1 = "abe4ad222b26af3337262b8afb28fab8d215e9f8"
+uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
+version = "0.10.3"
+
+[[Distributed]]
+deps = ["Random", "Serialization", "Sockets"]
+uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
+
+[[Distributions]]
+deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "3889f646423ce91dd1055a76317e9a1d3a23fff1"
+uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
+version = "0.25.11"
+
+[[DocStringExtensions]]
+deps = ["LibGit2"]
+git-tree-sha1 = "a32185f5428d3986f47c2ab78b1f216d5e6cc96f"
+uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
+version = "0.8.5"
+
+[[DomainSets]]
+deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "StaticArrays", "Statistics", "Test"]
+git-tree-sha1 = "6cdd99d0b7b555f96f7cb05aa82067ee79e7aef4"
+uuid = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
+version = "0.5.2"
+
+[[Downloads]]
+deps = ["ArgTools", "LibCURL", "NetworkOptions"]
+uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
+
+[[DynamicPolynomials]]
+deps = ["DataStructures", "Future", "LinearAlgebra", "MultivariatePolynomials", "MutableArithmetics", "Pkg", "Reexport", "Test"]
+git-tree-sha1 = "e9d82a6f35d199d3821c069932115e19ca2a2b3d"
+uuid = "7c1d4256-1411-5781-91ec-d7bc3513ac07"
+version = "0.3.19"
+
+[[EarCut_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "92d8f9f208637e8d2d28c664051a00569c01493d"
+uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5"
+version = "2.1.5+1"
+
+[[EllipsisNotation]]
+deps = ["ArrayInterface"]
+git-tree-sha1 = "8041575f021cba5a099a456b4163c9a08b566a02"
+uuid = "da5c29d0-fa7d-589e-88eb-ea29b0a81949"
+version = "1.1.0"
+
+[[Expat_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "b3bfd02e98aedfa5cf885665493c5598c350cd2f"
+uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
+version = "2.2.10+0"
+
+[[ExponentialUtilities]]
+deps = ["ArrayInterface", "LinearAlgebra", "Printf", "Requires", "SparseArrays"]
+git-tree-sha1 = "ad435656c49da7615152b856c0f9abe75b0b5dc9"
+uuid = "d4d017d3-3776-5f7e-afef-a10c40355c18"
+version = "1.8.4"
+
+[[ExprTools]]
+git-tree-sha1 = "b7e3d17636b348f005f11040025ae8c6f645fe92"
+uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
+version = "0.1.6"
+
+[[FFMPEG]]
+deps = ["FFMPEG_jll"]
+git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
+uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
+version = "0.4.1"
+
+[[FFMPEG_jll]]
+deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "Pkg", "Zlib_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
+git-tree-sha1 = "d8a578692e3077ac998b50c0217dfd67f21d1e5f"
+uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
+version = "4.4.0+0"
+
+[[FFTW]]
+deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
+git-tree-sha1 = "f985af3b9f4e278b1d24434cbb546d6092fca661"
+uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
+version = "1.4.3"
+
+[[FFTW_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "3676abafff7e4ff07bbd2c42b3d8201f31653dcc"
+uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
+version = "3.3.9+8"
+
+[[FastBroadcast]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "26be48918640ce002f5833e8fc537b2ba7ed0234"
+uuid = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
+version = "0.1.8"
+
+[[FastClosures]]
+git-tree-sha1 = "acebe244d53ee1b461970f8910c235b259e772ef"
+uuid = "9aa1b823-49e4-5ca5-8b0f-3971ec8bab6a"
+version = "0.3.2"
+
+[[FileIO]]
+deps = ["Pkg", "Requires", "UUIDs"]
+git-tree-sha1 = "256d8e6188f3f1ebfa1a5d17e072a0efafa8c5bf"
+uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
+version = "1.10.1"
+
+[[FillArrays]]
+deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
+git-tree-sha1 = "8c8eac2af06ce35973c3eadb4ab3243076a408e7"
+uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
+version = "0.12.1"
+
+[[FiniteDiff]]
+deps = ["ArrayInterface", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays"]
+git-tree-sha1 = "8b3c09b56acaf3c0e581c66638b85c8650ee9dca"
+uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
+version = "2.8.1"
+
+[[FixedPointNumbers]]
+deps = ["Statistics"]
+git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
+uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
+version = "0.8.4"
+
+[[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"
+
+[[Formatting]]
+deps = ["Printf"]
+git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
+uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
+version = "0.4.2"
+
+[[ForwardDiff]]
+deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "NaNMath", "Printf", "Random", "SpecialFunctions", "StaticArrays"]
+git-tree-sha1 = "b5e930ac60b613ef3406da6d4f42c35d8dc51419"
+uuid = "f6369f11-7733-5829-9624-2563aa707210"
+version = "0.10.19"
+
+[[FreeType]]
+deps = ["CEnum", "FreeType2_jll"]
+git-tree-sha1 = "cabd77ab6a6fdff49bfd24af2ebe76e6e018a2b4"
+uuid = "b38be410-82b0-50bf-ab77-7b57e271db43"
+version = "4.0.0"
+
+[[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"
+
+[[FreeTypeAbstraction]]
+deps = ["ColorVectorSpace", "Colors", "FreeType", "GeometryBasics", "StaticArrays"]
+git-tree-sha1 = "d51e69f0a2f8a3842bca4183b700cf3d9acce626"
+uuid = "663a7486-cb36-511b-a19d-713bb74d65c9"
+version = "0.9.1"
+
+[[FriBidi_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91"
+uuid = "559328eb-81f9-559d-9380-de523a88c83c"
+version = "1.0.10+0"
+
+[[FunctionWrappers]]
+git-tree-sha1 = "241552bc2209f0fa068b6415b1942cc0aa486bcc"
+uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
+version = "1.1.2"
+
+[[Future]]
+deps = ["Random"]
+uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"
+
+[[GLFW]]
+deps = ["GLFW_jll"]
+git-tree-sha1 = "35dbc482f0967d8dceaa7ce007d16f9064072166"
+uuid = "f7f18e0c-5ee9-5ccd-a5bf-e8befd85ed98"
+version = "3.4.1"
+
+[[GLFW_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll"]
+git-tree-sha1 = "dba1e8614e98949abfa60480b13653813d8f0157"
+uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
+version = "3.3.5+0"
+
+[[GLMakie]]
+deps = ["ColorTypes", "Colors", "FileIO", "FixedPointNumbers", "FreeTypeAbstraction", "GLFW", "GeometryBasics", "LinearAlgebra", "Makie", "Markdown", "MeshIO", "ModernGL", "Observables", "Printf", "Serialization", "ShaderAbstractions", "StaticArrays"]
+git-tree-sha1 = "ef6b2599a755101af901bc9e5e2c535e9e2a0543"
+uuid = "e9467ef8-e4e7-5192-8a1a-b1aee30e663a"
+version = "0.4.4"
+
+[[GeometryBasics]]
+deps = ["EarCut_jll", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"]
+git-tree-sha1 = "82853ebc70db4f5a3084853738c68fd497b22c7c"
+uuid = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
+version = "0.3.10"
+
+[[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"
+
+[[Glib_jll]]
+deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE_jll", "Pkg", "Zlib_jll"]
+git-tree-sha1 = "7bf67e9a481712b3dbe9cb3dac852dc4b1162e02"
+uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
+version = "2.68.3+0"
+
+[[Graphics]]
+deps = ["Colors", "LinearAlgebra", "NaNMath"]
+git-tree-sha1 = "2c1cf4df419938ece72de17f368a021ee162762e"
+uuid = "a2bd30eb-e257-5431-a919-1863eab51364"
+version = "1.1.0"
+
+[[Graphite2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
+uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
+version = "1.3.14+0"
+
+[[GridLayoutBase]]
+deps = ["GeometryBasics", "InteractiveUtils", "Match", "Observables"]
+git-tree-sha1 = "d44945bdc7a462fa68bb847759294669352bd0a4"
+uuid = "3955a311-db13-416c-9275-1d80ed98e5e9"
+version = "0.5.7"
+
+[[Grisu]]
+git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
+uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
+version = "1.0.2"
+
+[[HarfBuzz_jll]]
+deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
+git-tree-sha1 = "8a954fed8ac097d5be04921d595f741115c1b2ad"
+uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
+version = "2.8.1+0"
+
+[[Hwloc]]
+deps = ["Hwloc_jll"]
+git-tree-sha1 = "92d99146066c5c6888d5a3abc871e6a214388b91"
+uuid = "0e44f5e4-bd66-52a0-8798-143a42290a1d"
+version = "2.0.0"
+
+[[Hwloc_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "3395d4d4aeb3c9d31f5929d32760d8baeee88aaf"
+uuid = "e33a78d0-f292-5ffc-b300-72abe9b543c8"
+version = "2.5.0+0"
+
+[[IfElse]]
+git-tree-sha1 = "28e837ff3e7a6c3cdb252ce49fb412c8eb3caeef"
+uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
+version = "0.1.0"
+
+[[ImageCore]]
+deps = ["AbstractFFTs", "Colors", "FixedPointNumbers", "Graphics", "MappedArrays", "MosaicViews", "OffsetArrays", "PaddedViews", "Reexport"]
+git-tree-sha1 = "db645f20b59f060d8cfae696bc9538d13fd86416"
+uuid = "a09fc81d-aa75-5fe9-8630-4744c3626534"
+version = "0.8.22"
+
+[[ImageIO]]
+deps = ["FileIO", "Netpbm", "PNGFiles", "TiffImages", "UUIDs"]
+git-tree-sha1 = "d067570b4d4870a942b19d9ceacaea4fb39b69a1"
+uuid = "82e4d734-157c-48bb-816b-45c225c6df19"
+version = "0.5.6"
+
+[[IndirectArrays]]
+git-tree-sha1 = "c2a145a145dc03a7620af1444e0264ef907bd44f"
+uuid = "9b13fd28-a010-5f03-acff-a1bbcff69959"
+version = "0.5.1"
+
+[[Inflate]]
+git-tree-sha1 = "f5fc07d4e706b84f72d54eedcc1c13d92fb0871c"
+uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
+version = "0.1.2"
+
+[[IntelOpenMP_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "d979e54b71da82f3a65b62553da4fc3d18c9004c"
+uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
+version = "2018.0.3+2"
+
+[[InteractiveUtils]]
+deps = ["Markdown"]
+uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
+
+[[Interpolations]]
+deps = ["AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"]
+git-tree-sha1 = "61aa005707ea2cebf47c8d780da8dc9bc4e0c512"
+uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
+version = "0.13.4"
+
+[[IntervalSets]]
+deps = ["Dates", "EllipsisNotation", "Statistics"]
+git-tree-sha1 = "3cc368af3f110a767ac786560045dceddfc16758"
+uuid = "8197267c-284f-5f27-9208-e0e47529a953"
+version = "0.5.3"
+
+[[IrrationalConstants]]
+git-tree-sha1 = "f76424439413893a832026ca355fe273e93bce94"
+uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
+version = "0.1.0"
+
+[[Isoband]]
+deps = ["isoband_jll"]
+git-tree-sha1 = "f9b6d97355599074dc867318950adaa6f9946137"
+uuid = "f1662d9f-8043-43de-a69a-05efc1cc6ff4"
+version = "0.1.1"
+
+[[IterTools]]
+git-tree-sha1 = "05110a2ab1fc5f932622ffea2a003221f4782c18"
+uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
+version = "1.3.0"
+
+[[IterativeSolvers]]
+deps = ["LinearAlgebra", "Printf", "Random", "RecipesBase", "SparseArrays"]
+git-tree-sha1 = "1a8c6237e78b714e901e406c096fc8a65528af7d"
+uuid = "42fd0dbc-a981-5370-80f2-aaf504508153"
+version = "0.9.1"
+
+[[IteratorInterfaceExtensions]]
+git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
+uuid = "82899510-4779-5014-852e-03e436cf321d"
+version = "1.0.0"
+
+[[JLLWrappers]]
+deps = ["Preferences"]
+git-tree-sha1 = "642a199af8b68253517b80bd3bfd17eb4e84df6e"
+uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
+version = "1.3.0"
+
+[[JSON]]
+deps = ["Dates", "Mmap", "Parsers", "Unicode"]
+git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37"
+uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
+version = "0.21.2"
+
+[[JuliaFormatter]]
+deps = ["CSTParser", "CommonMark", "DataStructures", "Pkg", "Tokenize"]
+git-tree-sha1 = "01de4719a784d520199608f8996ec8ff11e8fa24"
+uuid = "98e50ef6-434e-11e9-1051-2b60c6c9e899"
+version = "0.15.7"
+
+[[KernelDensity]]
+deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"]
+git-tree-sha1 = "591e8dc09ad18386189610acafb970032c519707"
+uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b"
+version = "0.6.3"
+
+[[LAME_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
+uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
+version = "3.100.1+0"
+
+[[LZO_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
+uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
+version = "2.10.1+0"
+
+[[LaTeXStrings]]
+git-tree-sha1 = "c7f1c695e06c01b95a67f0cd1d34994f3e7db104"
+uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
+version = "1.2.1"
+
+[[LabelledArrays]]
+deps = ["ArrayInterface", "LinearAlgebra", "MacroTools", "StaticArrays"]
+git-tree-sha1 = "bdde43e002847c34c206735b1cf860bc3abd35e7"
+uuid = "2ee39098-c373-598a-b85f-a56591580800"
+version = "1.6.4"
+
+[[Latexify]]
+deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "Printf", "Requires"]
+git-tree-sha1 = "a4b12a1bd2ebade87891ab7e36fdbce582301a92"
+uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
+version = "0.15.6"
+
+[[LazyArtifacts]]
+deps = ["Artifacts", "Pkg"]
+uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"
+
+[[LibCURL]]
+deps = ["LibCURL_jll", "MozillaCACerts_jll"]
+uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
+
+[[LibCURL_jll]]
+deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
+uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
+
+[[LibGit2]]
+deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
+uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
+
+[[LibSSH2_jll]]
+deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
+uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
+
+[[Libdl]]
+uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
+
+[[Libffi_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "761a393aeccd6aa92ec3515e428c26bf99575b3b"
+uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
+version = "3.2.2+0"
+
+[[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"
+
+[[Libglvnd_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
+git-tree-sha1 = "7739f837d6447403596a75d19ed01fd08d6f56bf"
+uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
+version = "1.3.0+3"
+
+[[Libgpg_error_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9"
+uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
+version = "1.42.0+0"
+
+[[Libiconv_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "42b62845d70a619f063a7da093d995ec8e15e778"
+uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
+version = "1.16.1+1"
+
+[[Libmount_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73"
+uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
+version = "2.35.0+0"
+
+[[Libuuid_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066"
+uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
+version = "2.36.0+0"
+
+[[LightGraphs]]
+deps = ["ArnoldiMethod", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
+git-tree-sha1 = "432428df5f360964040ed60418dd5601ecd240b6"
+uuid = "093fc24a-ae57-5d10-9952-331d41423f4d"
+version = "1.3.5"
+
+[[LineSearches]]
+deps = ["LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "Printf"]
+git-tree-sha1 = "f27132e551e959b3667d8c93eae90973225032dd"
+uuid = "d3d80556-e9d4-5f37-9878-2ab0fcc64255"
+version = "7.1.1"
+
+[[LinearAlgebra]]
+deps = ["Libdl"]
+uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+
+[[LogExpFunctions]]
+deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
+git-tree-sha1 = "3d682c07e6dd250ed082f883dc88aee7996bf2cc"
+uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
+version = "0.3.0"
+
+[[Logging]]
+uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
+
+[[LoopVectorization]]
+deps = ["ArrayInterface", "DocStringExtensions", "IfElse", "LinearAlgebra", "OffsetArrays", "Polyester", "Requires", "SLEEFPirates", "Static", "StrideArraysCore", "ThreadingUtilities", "UnPack", "VectorizationBase"]
+git-tree-sha1 = "6643933c619b292cb1fe566f5a411dddddec3db9"
+uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
+version = "0.12.63"
+
+[[MKL_jll]]
+deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "Pkg"]
+git-tree-sha1 = "c253236b0ed414624b083e6b72bfe891fbd2c7af"
+uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
+version = "2021.1.1+1"
+
+[[MacroTools]]
+deps = ["Markdown", "Random"]
+git-tree-sha1 = "0fb723cd8c45858c22169b2e42269e53271a6df7"
+uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
+version = "0.5.7"
+
+[[Makie]]
+deps = ["Animations", "Artifacts", "Base64", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "Distributions", "DocStringExtensions", "FFMPEG", "FileIO", "FixedPointNumbers", "Formatting", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageIO", "IntervalSets", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MakieCore", "Markdown", "Match", "MathTeXEngine", "Observables", "Packing", "PlotUtils", "PolygonOps", "Printf", "Random", "Serialization", "Showoff", "SignedDistanceFields", "SparseArrays", "StaticArrays", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "UnicodeFun"]
+git-tree-sha1 = "5761bfd21ad271efd7e134879e39a2289a032fc8"
+uuid = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
+version = "0.15.0"
+
+[[MakieCore]]
+deps = ["Observables"]
+git-tree-sha1 = "7bcc8323fb37523a6a51ade2234eee27a11114c8"
+uuid = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
+version = "0.1.3"
+
+[[ManualMemory]]
+git-tree-sha1 = "9cb207b18148b2199db259adfa923b45593fe08e"
+uuid = "d125e4d3-2237-4719-b19c-fa641b8a4667"
+version = "0.1.6"
+
+[[MappedArrays]]
+git-tree-sha1 = "e8b359ef06ec72e8c030463fe02efe5527ee5142"
+uuid = "dbb5928d-eab1-5f90-85c2-b9b0edb7c900"
+version = "0.4.1"
+
+[[Markdown]]
+deps = ["Base64"]
+uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
+
+[[Match]]
+git-tree-sha1 = "5cf525d97caf86d29307150fcba763a64eaa9cbe"
+uuid = "7eb4fadd-790c-5f42-8a69-bfa0b872bfbf"
+version = "1.1.0"
+
+[[MathTeXEngine]]
+deps = ["AbstractTrees", "Automa", "DataStructures", "FreeTypeAbstraction", "GeometryBasics", "LaTeXStrings", "REPL", "Test"]
+git-tree-sha1 = "69b565c0ca7bf9dae18498b52431f854147ecbf3"
+uuid = "0a4f8689-d25c-4efe-a92b-7142dfc1aa53"
+version = "0.1.2"
+
+[[MbedTLS_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
+
+[[MeshIO]]
+deps = ["ColorTypes", "FileIO", "GeometryBasics", "Printf"]
+git-tree-sha1 = "6d92d825d3834ecad23ffd5582dc67da7e6f020c"
+uuid = "7269a6da-0436-5bbc-96c2-40638cbb6118"
+version = "0.4.7"
+
+[[Missings]]
+deps = ["DataAPI"]
+git-tree-sha1 = "4ea90bd5d3985ae1f9a908bd4500ae88921c5ce7"
+uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
+version = "1.0.0"
+
+[[Mmap]]
+uuid = "a63ad114-7e13-5084-954f-fe012c677804"
+
+[[ModelingToolkit]]
+deps = ["AbstractTrees", "ArrayInterface", "ConstructionBase", "DataStructures", "DiffEqBase", "DiffEqCallbacks", "DiffEqJump", "DiffRules", "Distributed", "Distributions", "DocStringExtensions", "DomainSets", "IfElse", "InteractiveUtils", "JuliaFormatter", "LabelledArrays", "Latexify", "Libdl", "LightGraphs", "LinearAlgebra", "MacroTools", "NaNMath", "NonlinearSolve", "RecursiveArrayTools", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SafeTestsets", "SciMLBase", "Serialization", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicUtils", "Symbolics", "UnPack", "Unitful"]
+git-tree-sha1 = "a010f2fab54db3cafb01be9d76e4b00a9e1878ca"
+uuid = "961ee093-0014-501f-94e3-6117800e7a78"
+version = "6.2.2"
+
+[[ModernGL]]
+deps = ["Libdl"]
+git-tree-sha1 = "326957556e9cc9253615114c04bb0096a2a69bb8"
+uuid = "66fc600b-dfda-50eb-8b99-91cfa97b1301"
+version = "1.1.2"
+
+[[MosaicViews]]
+deps = ["MappedArrays", "OffsetArrays", "PaddedViews", "StackViews"]
+git-tree-sha1 = "b34e3bc3ca7c94914418637cb10cc4d1d80d877d"
+uuid = "e94cdb99-869f-56ef-bcf0-1ae2bcbe0389"
+version = "0.3.3"
+
+[[MozillaCACerts_jll]]
+uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
+
+[[MuladdMacro]]
+git-tree-sha1 = "c6190f9a7fc5d9d5915ab29f2134421b12d24a68"
+uuid = "46d2c3a1-f734-5fdb-9937-b9b9aeba4221"
+version = "0.2.2"
+
+[[MultivariatePolynomials]]
+deps = ["DataStructures", "LinearAlgebra", "MutableArithmetics"]
+git-tree-sha1 = "45c9940cec79dedcdccc73cc6dd09ea8b8ab142c"
+uuid = "102ac46a-7ee4-5c85-9060-abc95bfdeaa3"
+version = "0.3.18"
+
+[[MutableArithmetics]]
+deps = ["LinearAlgebra", "SparseArrays", "Test"]
+git-tree-sha1 = "3927848ccebcc165952dc0d9ac9aa274a87bfe01"
+uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
+version = "0.2.20"
+
+[[NLSolversBase]]
+deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
+git-tree-sha1 = "144bab5b1443545bc4e791536c9f1eacb4eed06a"
+uuid = "d41bc354-129a-5804-8e4c-c37616107c6c"
+version = "7.8.1"
+
+[[NLsolve]]
+deps = ["Distances", "LineSearches", "LinearAlgebra", "NLSolversBase", "Printf", "Reexport"]
+git-tree-sha1 = "019f12e9a1a7880459d0173c182e6a99365d7ac1"
+uuid = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
+version = "4.5.1"
+
+[[NaNMath]]
+git-tree-sha1 = "bfe47e760d60b82b66b61d2d44128b62e3a369fb"
+uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
+version = "0.3.5"
+
+[[Netpbm]]
+deps = ["ColorVectorSpace", "FileIO", "ImageCore"]
+git-tree-sha1 = "09589171688f0039f13ebe0fdcc7288f50228b52"
+uuid = "f09324ee-3d7c-5217-9330-fc30815ba969"
+version = "1.0.1"
+
+[[NetworkOptions]]
+uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
+
+[[NonlinearSolve]]
+deps = ["ArrayInterface", "FiniteDiff", "ForwardDiff", "IterativeSolvers", "LinearAlgebra", "RecursiveArrayTools", "RecursiveFactorization", "Reexport", "SciMLBase", "Setfield", "StaticArrays", "UnPack"]
+git-tree-sha1 = "f2530482ef6447c8ae24c660914436f1ae3917e0"
+uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
+version = "0.3.9"
+
+[[Observables]]
+git-tree-sha1 = "fe29afdef3d0c4a8286128d4e45cc50621b1e43d"
+uuid = "510215fc-4207-5dde-b226-833fc4488ee2"
+version = "0.4.0"
+
+[[OffsetArrays]]
+deps = ["Adapt"]
+git-tree-sha1 = "c0f4a4836e5f3e0763243b8324200af6d0e0f90c"
+uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
+version = "1.10.5"
+
+[[Ogg_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "7937eda4681660b4d6aeeecc2f7e1c81c8ee4e2f"
+uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
+version = "1.3.5+0"
+
+[[OpenSSL_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "15003dcb7d8db3c6c857fda14891a539a8f2705a"
+uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
+version = "1.1.10+0"
+
+[[OpenSpecFun_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
+uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
+version = "0.5.5+0"
+
+[[Opus_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720"
+uuid = "91d4177d-7536-5919-b921-800302f37372"
+version = "1.3.2+0"
+
+[[OrderedCollections]]
+git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
+uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
+version = "1.4.1"
+
+[[OrdinaryDiffEq]]
+deps = ["Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "ExponentialUtilities", "FastClosures", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "Logging", "LoopVectorization", "MacroTools", "MuladdMacro", "NLsolve", "Polyester", "RecursiveArrayTools", "Reexport", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
+git-tree-sha1 = "1600070fd4b87cda72a7c22a9ad8f3eec43e72ec"
+uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
+version = "5.61.1"
+
+[[PCRE_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "b2a7af664e098055a7529ad1a900ded962bca488"
+uuid = "2f80f16e-611a-54ab-bc61-aa92de5b98fc"
+version = "8.44.0+0"
+
+[[PDMats]]
+deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "4dd403333bcf0909341cfe57ec115152f937d7d8"
+uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
+version = "0.11.1"
+
+[[PNGFiles]]
+deps = ["Base64", "CEnum", "ImageCore", "IndirectArrays", "OffsetArrays", "libpng_jll"]
+git-tree-sha1 = "520e28d4026d16dcf7b8c8140a3041f0e20a9ca8"
+uuid = "f57f5aa1-a3ce-4bc8-8ab9-96f992907883"
+version = "0.3.7"
+
+[[Packing]]
+deps = ["GeometryBasics"]
+git-tree-sha1 = "f4049d379326c2c7aa875c702ad19346ecb2b004"
+uuid = "19eb6ba3-879d-56ad-ad62-d5c202156566"
+version = "0.4.1"
+
+[[PaddedViews]]
+deps = ["OffsetArrays"]
+git-tree-sha1 = "646eed6f6a5d8df6708f15ea7e02a7a2c4fe4800"
+uuid = "5432bcbf-9aad-5242-b902-cca2824c8663"
+version = "0.5.10"
+
+[[Parameters]]
+deps = ["OrderedCollections", "UnPack"]
+git-tree-sha1 = "2276ac65f1e236e0a6ea70baff3f62ad4c625345"
+uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
+version = "0.12.2"
+
+[[Parsers]]
+deps = ["Dates"]
+git-tree-sha1 = "477bf42b4d1496b454c10cce46645bb5b8a0cf2c"
+uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
+version = "2.0.2"
+
+[[Pixman_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29"
+uuid = "30392449-352a-5448-841d-b1acce4e97dc"
+version = "0.40.1+0"
+
+[[Pkg]]
+deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
+uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
+
+[[PkgVersion]]
+deps = ["Pkg"]
+git-tree-sha1 = "a7a7e1a88853564e551e4eba8650f8c38df79b37"
+uuid = "eebad327-c553-4316-9ea0-9fa01ccd7688"
+version = "0.1.1"
+
+[[PlotUtils]]
+deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "Statistics"]
+git-tree-sha1 = "501c20a63a34ac1d015d5304da0e645f42d91c9f"
+uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
+version = "1.0.11"
+
+[[PoissonRandom]]
+deps = ["Random", "Statistics", "Test"]
+git-tree-sha1 = "44d018211a56626288b5d3f8c6497d28c26dc850"
+uuid = "e409e4f3-bfea-5376-8464-e040bb5c01ab"
+version = "0.4.0"
+
+[[Polyester]]
+deps = ["ArrayInterface", "IfElse", "ManualMemory", "Requires", "Static", "StrideArraysCore", "ThreadingUtilities", "VectorizationBase"]
+git-tree-sha1 = "81c59c2bed8c8a76843411ddb33e548bf2bcc9b2"
+uuid = "f517fe37-dbe3-4b94-8317-1923a5111588"
+version = "0.3.8"
+
+[[PolygonOps]]
+git-tree-sha1 = "c031d2332c9a8e1c90eca239385815dc271abb22"
+uuid = "647866c9-e3ac-4575-94e7-e3d426903924"
+version = "0.1.1"
+
+[[Preferences]]
+deps = ["TOML"]
+git-tree-sha1 = "00cfd92944ca9c760982747e9a1d0d5d86ab1e5a"
+uuid = "21216c6a-2e73-6563-6e65-726566657250"
+version = "1.2.2"
+
+[[Printf]]
+deps = ["Unicode"]
+uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
+
+[[ProgressMeter]]
+deps = ["Distributed", "Printf"]
+git-tree-sha1 = "afadeba63d90ff223a6a48d2009434ecee2ec9e8"
+uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
+version = "1.7.1"
+
+[[QuadGK]]
+deps = ["DataStructures", "LinearAlgebra"]
+git-tree-sha1 = "12fbe86da16df6679be7521dfb39fbc861e1dc7b"
+uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
+version = "2.4.1"
+
+[[REPL]]
+deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
+uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
+
+[[Random]]
+deps = ["Serialization"]
+uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
+
+[[RandomNumbers]]
+deps = ["Random", "Requires"]
+git-tree-sha1 = "043da614cc7e95c703498a491e2c21f58a2b8111"
+uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
+version = "1.5.3"
+
+[[Ratios]]
+deps = ["Requires"]
+git-tree-sha1 = "7dff99fbc740e2f8228c6878e2aad6d7c2678098"
+uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
+version = "0.4.1"
+
+[[RecipesBase]]
+git-tree-sha1 = "b3fb709f3c97bfc6e948be68beeecb55a0b340ae"
+uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
+version = "1.1.1"
+
+[[RecursiveArrayTools]]
+deps = ["ArrayInterface", "ChainRulesCore", "DocStringExtensions", "LinearAlgebra", "RecipesBase", "Requires", "StaticArrays", "Statistics", "ZygoteRules"]
+git-tree-sha1 = "6cf3169ab34096657b79ea7d26f64ad79b3a5ea7"
+uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
+version = "2.17.0"
+
+[[RecursiveFactorization]]
+deps = ["LinearAlgebra", "LoopVectorization"]
+git-tree-sha1 = "2e1a88c083ebe8ba69bc0b0084d4b4ba4aa35ae0"
+uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
+version = "0.1.13"
+
+[[Reexport]]
+git-tree-sha1 = "5f6c21241f0f655da3952fd60aa18477cf96c220"
+uuid = "189a3867-3050-52da-a836-e630ba90ab69"
+version = "1.1.0"
+
+[[Requires]]
+deps = ["UUIDs"]
+git-tree-sha1 = "4036a3bd08ac7e968e27c203d45f5fff15020621"
+uuid = "ae029012-a4dd-5104-9daa-d747884805df"
+version = "1.1.3"
+
+[[Rmath]]
+deps = ["Random", "Rmath_jll"]
+git-tree-sha1 = "bf3188feca147ce108c76ad82c2792c57abe7b1f"
+uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
+version = "0.7.0"
+
+[[Rmath_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "68db32dff12bb6127bac73c209881191bf0efbb7"
+uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
+version = "0.3.0+0"
+
+[[RuntimeGeneratedFunctions]]
+deps = ["ExprTools", "SHA", "Serialization"]
+git-tree-sha1 = "cdc1e4278e91a6ad530770ebb327f9ed83cf10c4"
+uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
+version = "0.5.3"
+
+[[SHA]]
+uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
+
+[[SIMD]]
+git-tree-sha1 = "9ba33637b24341aba594a2783a502760aa0bff04"
+uuid = "fdea26ae-647d-5447-a871-4b548cad5224"
+version = "3.3.1"
+
+[[SLEEFPirates]]
+deps = ["IfElse", "Static", "VectorizationBase"]
+git-tree-sha1 = "bfdf9532c33db35d2ce9df4828330f0e92344a52"
+uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
+version = "0.6.25"
+
+[[SafeTestsets]]
+deps = ["Test"]
+git-tree-sha1 = "36ebc5622c82eb9324005cc75e7e2cc51181d181"
+uuid = "1bc83da4-3b8d-516f-aca4-4fe02f6d838f"
+version = "0.0.1"
+
+[[ScanByte]]
+deps = ["Libdl", "SIMD"]
+git-tree-sha1 = "9cc2955f2a254b18be655a4ee70bc4031b2b189e"
+uuid = "7b38b023-a4d7-4c5e-8d43-3f3097f304eb"
+version = "0.3.0"
+
+[[SciMLBase]]
+deps = ["ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "RecipesBase", "RecursiveArrayTools", "StaticArrays", "Statistics", "Tables", "TreeViews"]
+git-tree-sha1 = "f4bcc1bc78857e0602de2ec548b08ac73bf29acc"
+uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
+version = "1.18.4"
+
+[[Serialization]]
+uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
+
+[[Setfield]]
+deps = ["ConstructionBase", "Future", "MacroTools", "Requires"]
+git-tree-sha1 = "fca29e68c5062722b5b4435594c3d1ba557072a3"
+uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
+version = "0.7.1"
+
+[[ShaderAbstractions]]
+deps = ["ColorTypes", "FixedPointNumbers", "GeometryBasics", "LinearAlgebra", "Observables", "StaticArrays", "StructArrays", "Tables"]
+git-tree-sha1 = "63c6b8796d28a1f942c29659e5519e2ef9ef4a59"
+uuid = "65257c39-d410-5151-9873-9b3e5be5013e"
+version = "0.2.7"
+
+[[SharedArrays]]
+deps = ["Distributed", "Mmap", "Random", "Serialization"]
+uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
+
+[[Showoff]]
+deps = ["Dates", "Grisu"]
+git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
+uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
+version = "1.0.3"
+
+[[SignedDistanceFields]]
+deps = ["Random", "Statistics", "Test"]
+git-tree-sha1 = "d263a08ec505853a5ff1c1ebde2070419e3f28e9"
+uuid = "73760f76-fbc4-59ce-8f25-708e95d2df96"
+version = "0.4.0"
+
+[[SimpleTraits]]
+deps = ["InteractiveUtils", "MacroTools"]
+git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231"
+uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
+version = "0.9.4"
+
+[[Sockets]]
+uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
+
+[[SortingAlgorithms]]
+deps = ["DataStructures"]
+git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
+uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
+version = "1.0.1"
+
+[[SparseArrays]]
+deps = ["LinearAlgebra", "Random"]
+uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
+
+[[SparseDiffTools]]
+deps = ["Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "LightGraphs", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays", "VertexSafeGraphs"]
+git-tree-sha1 = "083ad77eeb56e40fd662373f4ba3302a4d90f77f"
+uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
+version = "1.16.3"
+
+[[SpecialFunctions]]
+deps = ["ChainRulesCore", "LogExpFunctions", "OpenSpecFun_jll"]
+git-tree-sha1 = "a322a9493e49c5f3a10b50df3aedaf1cdb3244b7"
+uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
+version = "1.6.1"
+
+[[StackViews]]
+deps = ["OffsetArrays"]
+git-tree-sha1 = "46e589465204cd0c08b4bd97385e4fa79a0c770c"
+uuid = "cae243ae-269e-4f55-b966-ac2d0dc13c15"
+version = "0.1.1"
+
+[[Static]]
+deps = ["IfElse"]
+git-tree-sha1 = "2740ea27b66a41f9d213561a04573da5d3823d4b"
+uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
+version = "0.2.5"
+
+[[StaticArrays]]
+deps = ["LinearAlgebra", "Random", "Statistics"]
+git-tree-sha1 = "3240808c6d463ac46f1c1cd7638375cd22abbccb"
+uuid = "90137ffa-7385-5640-81b9-e52037218182"
+version = "1.2.12"
+
+[[Statistics]]
+deps = ["LinearAlgebra", "SparseArrays"]
+uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+
+[[StatsAPI]]
+git-tree-sha1 = "1958272568dc176a1d881acb797beb909c785510"
+uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
+version = "1.0.0"
+
+[[StatsBase]]
+deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
+git-tree-sha1 = "fed1ec1e65749c4d96fc20dd13bea72b55457e62"
+uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
+version = "0.33.9"
+
+[[StatsFuns]]
+deps = ["Rmath", "SpecialFunctions"]
+git-tree-sha1 = "ced55fd4bae008a8ea12508314e725df61f0ba45"
+uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
+version = "0.9.7"
+
+[[StrideArraysCore]]
+deps = ["ArrayInterface", "ManualMemory", "Requires", "ThreadingUtilities", "VectorizationBase"]
+git-tree-sha1 = "e1c37dd3022ba6aaf536541dd607e8d5fb534377"
+uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da"
+version = "0.1.17"
+
+[[StructArrays]]
+deps = ["DataAPI", "Tables"]
+git-tree-sha1 = "ad1f5fd155426dcc879ec6ede9f74eb3a2d582df"
+uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
+version = "0.4.2"
+
+[[SuiteSparse]]
+deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
+uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"
+
+[[SymbolicUtils]]
+deps = ["AbstractTrees", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LabelledArrays", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "TimerOutputs"]
+git-tree-sha1 = "591440eabc9407917b1fedd1e929710dba5b0958"
+uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
+version = "0.13.3"
+
+[[Symbolics]]
+deps = ["ConstructionBase", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "IfElse", "Latexify", "Libdl", "LinearAlgebra", "MacroTools", "NaNMath", "RecipesBase", "Reexport", "Requires", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicUtils", "TreeViews"]
+git-tree-sha1 = "6a7d84c33afd675e63f55f6c8859d169b1887c85"
+uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
+version = "3.0.0"
+
+[[TOML]]
+deps = ["Dates"]
+uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
+
+[[TableTraits]]
+deps = ["IteratorInterfaceExtensions"]
+git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
+uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
+version = "1.0.1"
+
+[[Tables]]
+deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "TableTraits", "Test"]
+git-tree-sha1 = "d0c690d37c73aeb5ca063056283fde5585a41710"
+uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
+version = "1.5.0"
+
+[[Tar]]
+deps = ["ArgTools", "SHA"]
+uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
+
+[[Test]]
+deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
+uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+
+[[ThreadingUtilities]]
+deps = ["ManualMemory"]
+git-tree-sha1 = "03013c6ae7f1824131b2ae2fc1d49793b51e8394"
+uuid = "8290d209-cae3-49c0-8002-c8c24d57dab5"
+version = "0.4.6"
+
+[[TiffImages]]
+deps = ["ColorTypes", "DocStringExtensions", "FileIO", "FixedPointNumbers", "IndirectArrays", "Inflate", "OffsetArrays", "OrderedCollections", "PkgVersion", "ProgressMeter"]
+git-tree-sha1 = "03fb246ac6e6b7cb7abac3b3302447d55b43270e"
+uuid = "731e570b-9d59-4bfa-96dc-6df516fadf69"
+version = "0.4.1"
+
+[[TimerOutputs]]
+deps = ["ExprTools", "Printf"]
+git-tree-sha1 = "209a8326c4f955e2442c07b56029e88bb48299c7"
+uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
+version = "0.5.12"
+
+[[Tokenize]]
+git-tree-sha1 = "eee92eda3cc8e104b7e56ff4c1fcf0d78ca37c89"
+uuid = "0796e94c-ce3b-5d07-9a54-7f471281c624"
+version = "0.5.18"
+
+[[TranscodingStreams]]
+deps = ["Random", "Test"]
+git-tree-sha1 = "216b95ea110b5972db65aa90f88d8d89dcb8851c"
+uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
+version = "0.9.6"
+
+[[TreeViews]]
+deps = ["Test"]
+git-tree-sha1 = "8d0d7a3fe2f30d6a7f833a5f19f7c7a5b396eae6"
+uuid = "a2a6695c-b41b-5b7d-aed9-dbfdeacea5d7"
+version = "0.3.0"
+
+[[URIs]]
+git-tree-sha1 = "97bbe755a53fe859669cd907f2d96aee8d2c1355"
+uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
+version = "1.3.0"
+
+[[UUIDs]]
+deps = ["Random", "SHA"]
+uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
+
+[[UnPack]]
+git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
+uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
+version = "1.0.2"
+
+[[Unicode]]
+uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
+
+[[UnicodeFun]]
+deps = ["REPL"]
+git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
+uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
+version = "0.4.1"
+
+[[Unitful]]
+deps = ["ConstructionBase", "Dates", "LinearAlgebra", "Random"]
+git-tree-sha1 = "a981a8ef8714cba2fd9780b22fd7a469e7aaf56d"
+uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
+version = "1.9.0"
+
+[[VectorizationBase]]
+deps = ["ArrayInterface", "Hwloc", "IfElse", "Libdl", "LinearAlgebra", "Static"]
+git-tree-sha1 = "32a3252a00a8e4aa23129e2c36a237e812f71eeb"
+uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
+version = "0.20.33"
+
+[[VertexSafeGraphs]]
+deps = ["LightGraphs"]
+git-tree-sha1 = "b9b450c99a3ca1cc1c6836f560d8d887bcbe356e"
+uuid = "19fa3120-7c27-5ec5-8db8-b0b0aa330d6f"
+version = "0.1.2"
+
+[[WoodburyMatrices]]
+deps = ["LinearAlgebra", "SparseArrays"]
+git-tree-sha1 = "59e2ad8fd1591ea019a5259bd012d7aee15f995c"
+uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
+version = "0.5.3"
+
+[[XML2_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
+git-tree-sha1 = "1acf5bdf07aa0907e0a37d3718bb88d4b687b74a"
+uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
+version = "2.9.12+0"
+
+[[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"
+
+[[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"
+
+[[Xorg_libXau_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
+uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
+version = "1.0.9+4"
+
+[[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"
+
+[[Xorg_libXdmcp_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
+uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
+version = "1.1.3+4"
+
+[[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"
+
+[[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"
+
+[[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"
+
+[[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"
+
+[[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"
+
+[[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"
+
+[[Xorg_libpthread_stubs_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb"
+uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
+version = "0.1.0+3"
+
+[[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"
+
+[[Xorg_xtrans_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
+uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
+version = "1.4.0+3"
+
+[[Zlib_jll]]
+deps = ["Libdl"]
+uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
+
+[[ZygoteRules]]
+deps = ["MacroTools"]
+git-tree-sha1 = "9e7a1e8ca60b742e508a315c17eef5211e7fbfd7"
+uuid = "700de1a5-db45-46bc-99cf-38207098b444"
+version = "0.2.1"
+
+[[isoband_jll]]
+deps = ["Libdl", "Pkg"]
+git-tree-sha1 = "a1ac99674715995a536bbce674b068ec1b7d893d"
+uuid = "9a68df92-36a6-505f-a73e-abb412b6bfb4"
+version = "0.2.2+0"
+
+[[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"
+
+[[libfdk_aac_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
+uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
+version = "2.0.2+0"
+
+[[libpng_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
+git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
+uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
+version = "1.6.38+0"
+
+[[libvorbis_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
+git-tree-sha1 = "c45f4e40e7aafe9d086379e5578947ec8b95a8fb"
+uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
+version = "1.3.7+0"
+
+[[nghttp2_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
+
+[[p7zip_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
+
+[[x264_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
+uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
+version = "2021.5.5+0"
+
+[[x265_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
+uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
+version = "3.5.0+0"
diff --git a/MechatronicsModeling.jl/Project.toml b/MechatronicsModeling.jl/Project.toml
new file mode 100644
index 0000000..10d6a1d
--- /dev/null
+++ b/MechatronicsModeling.jl/Project.toml
@@ -0,0 +1,4 @@
+[deps]
+GLMakie = "e9467ef8-e4e7-5192-8a1a-b1aee30e663a"
+ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78"
+OrdinaryDiffEq = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
diff --git a/MechatronicsModeling.jl/r_circuit.jl b/MechatronicsModeling.jl/r_circuit.jl
new file mode 100644
index 0000000..66d5370
--- /dev/null
+++ b/MechatronicsModeling.jl/r_circuit.jl
@@ -0,0 +1,41 @@
+using ModelingToolkit, OrdinaryDiffEq
+using GLMakie
+
+@parameters R
+@variables t v(t) i(t)
+D = Differential(t)
+
+eqs = [
+   i ~ v/R
+   D(v) ~ 0
+]
+
+@named circuit = ODESystem(eqs, t)
+
+function solve_circuit(circuit)
+    u0 = [
+       v => 5.0,
+    ]
+
+    p = [
+       R => 10,
+    ]
+
+    tspan = (0.0, 0.01)
+    # convert the DAE problem to an ODE problem
+    circuit = structural_simplify(circuit)
+    prob = ODEProblem(circuit, u0, tspan, p)
+    sol = solve(prob, Tsit5())
+
+    # Interpolation can give the solution inside tspan and also further
+    #sol(0.009)
+    return sol
+end
+
+
+function show_sol(circuit)
+    sol = solve_circuit(circuit)
+    lines(sol.t, sol[i], color = :red)
+    lines!(sol.t, sol[v], color = :blue)
+    current_figure()
+end