diff --git a/Project.toml b/Project.toml
index 98fd2bb..b0ec005 100644
--- a/Project.toml
+++ b/Project.toml
@@ -15,7 +15,7 @@ Tensors = "48a634ad-e948-5137-8d70-aa71f2a747f4"
 Ferrite = "0.3.13"
 GeometryBasics = "0.4"
 Makie = "0.17,0.18,0.19"
-ShaderAbstractions = "0.3"
+ShaderAbstractions = "0.3, 0.4"
 Tensors = "1"
 julia = "1"
 
diff --git a/docs/Manifest.toml b/docs/Manifest.toml
index de002de..2673e0a 100644
--- a/docs/Manifest.toml
+++ b/docs/Manifest.toml
@@ -2,7 +2,7 @@
 
 julia_version = "1.9.3"
 manifest_format = "2.0"
-project_hash = "5c3e32c768d5c41a7853e8e72a40d5e01fd20189"
+project_hash = "d59e06be2f3a2a869077caa7bc752d83cf9f5b47"
 
 [[deps.ANSIColoredPrinters]]
 git-tree-sha1 = "574baf8110975760d391c710b6341da1afa48d8c"
@@ -11,13 +11,19 @@ version = "0.0.1"
 
 [[deps.AbstractFFTs]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "16b6dbc4cf7caee4e1e75c49485ec67b667098a0"
+git-tree-sha1 = "d92ad398961a3ed262d8bf04a1a2b8340f915fef"
 uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
-version = "1.3.1"
-weakdeps = ["ChainRulesCore"]
+version = "1.5.0"
+weakdeps = ["ChainRulesCore", "Test"]
 
     [deps.AbstractFFTs.extensions]
     AbstractFFTsChainRulesCoreExt = "ChainRulesCore"
+    AbstractFFTsTestExt = "Test"
+
+[[deps.AbstractLattices]]
+git-tree-sha1 = "f35684b7349da49fcc8a9e520e30e45dbb077166"
+uuid = "398f06c4-4d28-53ec-89ca-5b2656b7603d"
+version = "0.2.1"
 
 [[deps.AbstractTrees]]
 git-tree-sha1 = "faa260e4cb5aba097a73fab382dd4b5819d8ec8c"
@@ -26,9 +32,9 @@ version = "0.4.4"
 
 [[deps.Adapt]]
 deps = ["LinearAlgebra", "Requires"]
-git-tree-sha1 = "cc37d689f599e8df4f464b2fa3870ff7db7492ef"
+git-tree-sha1 = "02f731463748db57cc2ebfbd9fbc9ce8280d3433"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "3.6.1"
+version = "3.7.1"
 weakdeps = ["StaticArrays"]
 
     [deps.Adapt.extensions]
@@ -44,20 +50,46 @@ version = "0.4.1"
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
 version = "1.1.1"
 
+[[deps.ArrayInterface]]
+deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "16267cf279190ca7c1b30d020758ced95db89cd0"
+uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
+version = "7.5.1"
+
+    [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.ArrayLayouts]]
-deps = ["FillArrays", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "53167edb91608f7dbceaa86d6db5b606b2f051a7"
+deps = ["FillArrays", "LinearAlgebra"]
+git-tree-sha1 = "af43df5704827c8618afd36eb56fcab20d3041ee"
 uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
-version = "1.0.0"
+version = "1.4.3"
+weakdeps = ["SparseArrays"]
+
+    [deps.ArrayLayouts.extensions]
+    ArrayLayoutsSparseArraysExt = "SparseArrays"
 
 [[deps.Artifacts]]
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
 
 [[deps.Automa]]
-deps = ["Printf", "ScanByte", "TranscodingStreams"]
-git-tree-sha1 = "d50976f217489ce799e366d9561d56a98a30d7fe"
+deps = ["TranscodingStreams"]
+git-tree-sha1 = "ef9997b3d5547c48b41c7bd8899e812a917b409d"
 uuid = "67c07d97-cdcb-5c2c-af73-a7f9c32a568b"
-version = "0.8.2"
+version = "0.8.4"
 
 [[deps.AxisAlgorithms]]
 deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
@@ -67,9 +99,9 @@ version = "1.0.1"
 
 [[deps.AxisArrays]]
 deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"]
-git-tree-sha1 = "1dd4d9f5beebac0c03446918741b1a03dc5e5788"
+git-tree-sha1 = "16351be62963a67ac4083f748fdb3cca58bfd52f"
 uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9"
-version = "0.4.6"
+version = "0.4.7"
 
 [[deps.Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
@@ -81,9 +113,9 @@ version = "0.1.7"
 
 [[deps.BlockArrays]]
 deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra"]
-git-tree-sha1 = "c7d7789c2c6ec98ec78ea5e017485549a95b051e"
+git-tree-sha1 = "54cd829dd26330c42e1cf9df68470dd4df602c61"
 uuid = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
-version = "0.16.27"
+version = "0.16.38"
 
 [[deps.Bzip2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -99,6 +131,18 @@ version = "0.4.2"
 [[deps.CRC32c]]
 uuid = "8bf52ea8-c179-5cab-976a-9e18b702a9bc"
 
+[[deps.CRlibm]]
+deps = ["CRlibm_jll"]
+git-tree-sha1 = "32abd86e3c2025db5172aa182b982debed519834"
+uuid = "96374032-68de-5a5b-8d9e-752f78720389"
+version = "1.0.1"
+
+[[deps.CRlibm_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "e329286945d0cfc04456972ea732551869af1cfc"
+uuid = "4e9b3aee-d8a1-5a3d-ad8b-7d824db253f0"
+version = "1.0.1+0"
+
 [[deps.Cairo_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"
@@ -112,16 +156,20 @@ uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
 version = "0.5.1"
 
 [[deps.ChainRulesCore]]
-deps = ["Compat", "LinearAlgebra", "SparseArrays"]
-git-tree-sha1 = "c6d890a52d2c4d55d326439580c3b8d0875a77d9"
+deps = ["Compat", "LinearAlgebra"]
+git-tree-sha1 = "e0af648f0692ec1691b5d094b8724ba1346281cf"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "1.15.7"
+version = "1.18.0"
+weakdeps = ["SparseArrays"]
+
+    [deps.ChainRulesCore.extensions]
+    ChainRulesCoreSparseArraysExt = "SparseArrays"
 
 [[deps.CodecZlib]]
 deps = ["TranscodingStreams", "Zlib_jll"]
-git-tree-sha1 = "9c209fb7536406834aa938fb149964b985de6c83"
+git-tree-sha1 = "cd67fc487743b2f0fd4380d4cbd3a24660d0eec8"
 uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
-version = "0.7.1"
+version = "0.7.3"
 
 [[deps.ColorBrewer]]
 deps = ["Colors", "JSON", "Test"]
@@ -130,10 +178,10 @@ uuid = "a2cac450-b92f-5266-8821-25eda20663c8"
 version = "0.4.0"
 
 [[deps.ColorSchemes]]
-deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Random", "SnoopPrecompile"]
-git-tree-sha1 = "aa3edc8f8dea6cbfa176ee12f7c2fc82f0608ed3"
+deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
+git-tree-sha1 = "67c1f244b991cad9b0aa4b7540fb758c2488b129"
 uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
-version = "3.20.0"
+version = "3.24.0"
 
 [[deps.ColorTypes]]
 deps = ["FixedPointNumbers", "Random"]
@@ -153,6 +201,11 @@ git-tree-sha1 = "fc08e5930ee9a4e03f84bfb5211cb54e7769758a"
 uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
 version = "0.12.10"
 
+[[deps.Combinatorics]]
+git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
+uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
+version = "1.0.2"
+
 [[deps.CommonSubexpressions]]
 deps = ["MacroTools", "Test"]
 git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
@@ -161,9 +214,9 @@ version = "0.3.0"
 
 [[deps.Compat]]
 deps = ["UUIDs"]
-git-tree-sha1 = "7a60c856b9fa189eb34f5f8a6f6b5529b7942957"
+git-tree-sha1 = "8a62af3e248a8c4bad6b32cbbe663ae02275e32c"
 uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
-version = "4.6.1"
+version = "4.10.0"
 weakdeps = ["Dates", "LinearAlgebra"]
 
     [deps.Compat.extensions]
@@ -174,16 +227,22 @@ deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
 version = "1.0.5+0"
 
+[[deps.ConcurrentUtilities]]
+deps = ["Serialization", "Sockets"]
+git-tree-sha1 = "8cfa272e8bdedfa88b6aefbbca7c19f1befac519"
+uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb"
+version = "2.3.0"
+
 [[deps.ConstructionBase]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "89a9db8d28102b094992472d333674bd1a83ce2a"
+git-tree-sha1 = "c53fc348ca4d40d7b371e71fd52251839080cbc9"
 uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
-version = "1.5.1"
+version = "1.5.4"
 weakdeps = ["IntervalSets", "StaticArrays"]
 
     [deps.ConstructionBase.extensions]
-    IntervalSetsExt = "IntervalSets"
-    StaticArraysExt = "StaticArrays"
+    ConstructionBaseIntervalSetsExt = "IntervalSets"
+    ConstructionBaseStaticArraysExt = "StaticArrays"
 
 [[deps.Contour]]
 git-tree-sha1 = "d05d9e7b7aedff4e5b51a029dced05cfb6125781"
@@ -191,15 +250,15 @@ uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
 version = "0.6.2"
 
 [[deps.DataAPI]]
-git-tree-sha1 = "e8119c1a33d267e16108be441a287a6981ba1630"
+git-tree-sha1 = "8da84edb865b0b5b0100c0666a9bc9a0b71c553c"
 uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
-version = "1.14.0"
+version = "1.15.0"
 
 [[deps.DataStructures]]
 deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
-git-tree-sha1 = "d1fff3a548102f48987a52a2e0d114fa97d730f0"
+git-tree-sha1 = "3dbd312d370723b6bb43ba9d02fc36abade4518d"
 uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
-version = "0.18.13"
+version = "0.18.15"
 
 [[deps.DataValueInterfaces]]
 git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
@@ -210,11 +269,17 @@ version = "1.0.0"
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
 
+[[deps.DelaunayTriangulation]]
+deps = ["DataStructures", "EnumX", "ExactPredicates", "Random", "SimpleGraphs"]
+git-tree-sha1 = "7cb0d72a53c1d93665eeadfa9d51af9df60bf6b2"
+uuid = "927a84f5-c5f4-47a5-9785-b46e178433df"
+version = "0.8.10"
+
 [[deps.Deno_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "64cb698de672b627f887ced4b2a722d217e73c10"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "cd6756e833c377e0ce9cd63fb97689a255f12323"
 uuid = "04572ae6-984a-583e-9378-9577a1c2574d"
-version = "1.28.1+0"
+version = "1.33.4+0"
 
 [[deps.DiffResults]]
 deps = ["StaticArraysCore"]
@@ -224,33 +289,40 @@ version = "1.1.0"
 
 [[deps.DiffRules]]
 deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
-git-tree-sha1 = "a4ad7ef19d2cdc2eff57abbbe68032b1cd0bd8f8"
+git-tree-sha1 = "23163d55f885173722d1e4cf0f6110cdbaf7e272"
 uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
-version = "1.13.0"
+version = "1.15.1"
 
 [[deps.Distances]]
-deps = ["LinearAlgebra", "SparseArrays", "Statistics", "StatsAPI"]
-git-tree-sha1 = "49eba9ad9f7ead780bfb7ee319f962c811c6d3b2"
+deps = ["LinearAlgebra", "Statistics", "StatsAPI"]
+git-tree-sha1 = "5225c965635d8c21168e32a12954675e7bea1151"
 uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
-version = "0.10.8"
+version = "0.10.10"
+weakdeps = ["ChainRulesCore", "SparseArrays"]
+
+    [deps.Distances.extensions]
+    DistancesChainRulesCoreExt = "ChainRulesCore"
+    DistancesSparseArraysExt = "SparseArrays"
 
 [[deps.Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
 [[deps.Distributions]]
-deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Test"]
-git-tree-sha1 = "13027f188d26206b9e7b863036f87d2f2e7d013a"
+deps = ["FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "a6c00f894f24460379cb7136633cef54ac9f6f4a"
 uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
-version = "0.25.87"
+version = "0.25.103"
 
     [deps.Distributions.extensions]
     DistributionsChainRulesCoreExt = "ChainRulesCore"
     DistributionsDensityInterfaceExt = "DensityInterface"
+    DistributionsTestExt = "Test"
 
     [deps.Distributions.weakdeps]
     ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
     DensityInterface = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
+    Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [[deps.DocStringExtensions]]
 deps = ["LibGit2"]
@@ -286,34 +358,45 @@ git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
 uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
 version = "1.0.4"
 
+[[deps.ErrorfreeArithmetic]]
+git-tree-sha1 = "d6863c556f1142a061532e79f611aa46be201686"
+uuid = "90fa49ef-747e-5e6f-a989-263ba693cf1a"
+version = "0.5.2"
+
+[[deps.ExactPredicates]]
+deps = ["IntervalArithmetic", "Random", "StaticArraysCore"]
+git-tree-sha1 = "499b1ca78f6180c8f8bdf1cabde2d39120229e5c"
+uuid = "429591f6-91af-11e9-00e2-59fbe8cec110"
+version = "2.2.6"
+
+[[deps.ExceptionUnwrapping]]
+deps = ["Test"]
+git-tree-sha1 = "e90caa41f5a86296e014e148ee061bd6c3edec96"
+uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4"
+version = "0.1.9"
+
 [[deps.Expat_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "bad72f730e9e91c08d9427d5e8db95478a3c323d"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "4558ab818dcceaab612d1bb8c19cee87eda2b83c"
 uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
-version = "2.4.8+0"
+version = "2.5.0+0"
 
 [[deps.Extents]]
-git-tree-sha1 = "5e1e4c53fa39afe63a7d356e30452249365fba99"
+git-tree-sha1 = "2140cd04483da90b2da7f99b2add0750504fc39c"
 uuid = "411431e0-e8b7-467b-b5e0-f676ba4f2910"
-version = "0.1.1"
-
-[[deps.FFMPEG]]
-deps = ["FFMPEG_jll"]
-git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
-uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
-version = "0.4.1"
+version = "0.1.2"
 
 [[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"
+deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "PCRE2_jll", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
+git-tree-sha1 = "466d45dc38e15794ec7d5d63ec03d776a9aff36e"
 uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
-version = "4.4.2+2"
+version = "4.4.4+1"
 
 [[deps.FFTW]]
 deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
-git-tree-sha1 = "f9818144ce7c8c41edf5c4c179c684d92aa4d9fe"
+git-tree-sha1 = "b4fbdd20c889804969571cc589900803edda16b7"
 uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
-version = "1.6.0"
+version = "1.7.1"
 
 [[deps.FFTW_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -321,6 +404,12 @@ git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea"
 uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
 version = "3.3.10+0"
 
+[[deps.FastRounding]]
+deps = ["ErrorfreeArithmetic", "LinearAlgebra"]
+git-tree-sha1 = "6344aa18f654196be82e62816935225b3b9abe44"
+uuid = "fa42c844-2597-5d31-933b-ebd51ab2693f"
+version = "0.3.1"
+
 [[deps.Ferrite]]
 deps = ["EnumX", "LinearAlgebra", "NearestNeighbors", "Preferences", "Reexport", "SparseArrays", "Tensors", "WriteVTK"]
 git-tree-sha1 = "a31b9d4dd58e00686e5da175dab11667af3108b6"
@@ -343,18 +432,39 @@ version = "0.2.1"
 
 [[deps.FileIO]]
 deps = ["Pkg", "Requires", "UUIDs"]
-git-tree-sha1 = "7be5f99f7d15578798f338f5433b6c432ea8037b"
+git-tree-sha1 = "299dc33549f68299137e51e6d49a13b5b1da9673"
 uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
-version = "1.16.0"
+version = "1.16.1"
 
 [[deps.FileWatching]]
 uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
 
 [[deps.FillArrays]]
-deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
-git-tree-sha1 = "fc86b4fd3eff76c3ce4f5e96e2fdfa6282722885"
+deps = ["LinearAlgebra", "Random"]
+git-tree-sha1 = "35f0c0f345bff2c6d636f95fdb136323b5a796ef"
 uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
-version = "1.0.0"
+version = "1.7.0"
+weakdeps = ["SparseArrays", "Statistics"]
+
+    [deps.FillArrays.extensions]
+    FillArraysSparseArraysExt = "SparseArrays"
+    FillArraysStatisticsExt = "Statistics"
+
+[[deps.FiniteDiff]]
+deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays"]
+git-tree-sha1 = "c6e4a1fbe73b31a3dea94b1da449503b8830c306"
+uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
+version = "2.21.1"
+
+    [deps.FiniteDiff.extensions]
+    FiniteDiffBandedMatricesExt = "BandedMatrices"
+    FiniteDiffBlockBandedMatricesExt = "BlockBandedMatrices"
+    FiniteDiffStaticArraysExt = "StaticArrays"
+
+    [deps.FiniteDiff.weakdeps]
+    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
+    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 
 [[deps.FixedPointNumbers]]
 deps = ["Statistics"]
@@ -376,9 +486,9 @@ version = "0.4.2"
 
 [[deps.ForwardDiff]]
 deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"]
-git-tree-sha1 = "00e252f4d706b3d55a8863432e742bf5717b498d"
+git-tree-sha1 = "cf0fe81336da9fb90944683b8c41984b08793dad"
 uuid = "f6369f11-7733-5829-9624-2563aa707210"
-version = "0.10.35"
+version = "0.10.36"
 weakdeps = ["StaticArrays"]
 
     [deps.ForwardDiff.extensions]
@@ -386,15 +496,15 @@ weakdeps = ["StaticArrays"]
 
 [[deps.FreeType]]
 deps = ["CEnum", "FreeType2_jll"]
-git-tree-sha1 = "cabd77ab6a6fdff49bfd24af2ebe76e6e018a2b4"
+git-tree-sha1 = "50351f83f95282cf903e968d7c6e8d44a5f83d0b"
 uuid = "b38be410-82b0-50bf-ab77-7b57e271db43"
-version = "4.0.0"
+version = "4.1.0"
 
 [[deps.FreeType2_jll]]
-deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
-git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9"
+deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
+git-tree-sha1 = "d8db6a5a2fe1381c1ea4ef2cab7c69c2de7f9ea0"
 uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
-version = "2.10.4+0"
+version = "2.13.1+0"
 
 [[deps.FreeTypeAbstraction]]
 deps = ["ColorVectorSpace", "Colors", "FreeType", "GeometryBasics"]
@@ -414,21 +524,21 @@ uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"
 
 [[deps.GPUArraysCore]]
 deps = ["Adapt"]
-git-tree-sha1 = "1cd7f0af1aa58abc02ea1d872953a97359cb87fa"
+git-tree-sha1 = "2d6ca471a6c7b536127afccfa7564b5b39227fe0"
 uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
-version = "0.1.4"
+version = "0.1.5"
 
 [[deps.GeoInterface]]
 deps = ["Extents"]
-git-tree-sha1 = "0eb6de0b312688f852f347171aba888658e29f20"
+git-tree-sha1 = "d53480c0793b13341c40199190f92c611aa2e93c"
 uuid = "cf35fbd7-0cd7-5166-be24-54bfbe79505f"
-version = "1.3.0"
+version = "1.3.2"
 
 [[deps.GeometryBasics]]
-deps = ["EarCut_jll", "GeoInterface", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"]
-git-tree-sha1 = "303202358e38d2b01ba46844b92e48a3c238fd9e"
+deps = ["EarCut_jll", "Extents", "GeoInterface", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"]
+git-tree-sha1 = "424a5a6ce7c5d97cca7bcc4eac551b97294c54af"
 uuid = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
-version = "0.4.6"
+version = "0.4.9"
 
 [[deps.Gettext_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
@@ -437,10 +547,10 @@ 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"
+deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Zlib_jll"]
+git-tree-sha1 = "e94c92c7bf4819685eb80186d51c43e71d4afa17"
 uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
-version = "2.74.0+2"
+version = "2.76.5+0"
 
 [[deps.Graphics]]
 deps = ["Colors", "LinearAlgebra", "NaNMath"]
@@ -456,9 +566,9 @@ version = "1.3.14+0"
 
 [[deps.GridLayoutBase]]
 deps = ["GeometryBasics", "InteractiveUtils", "Observables"]
-git-tree-sha1 = "678d136003ed5bceaab05cf64519e3f956ffa4ba"
+git-tree-sha1 = "f57a64794b336d4990d90f80b147474b869b1bc4"
 uuid = "3955a311-db13-416c-9275-1d80ed98e5e9"
-version = "0.9.1"
+version = "0.9.2"
 
 [[deps.Grisu]]
 git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
@@ -466,10 +576,10 @@ uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
 version = "1.0.2"
 
 [[deps.HTTP]]
-deps = ["Base64", "CodecZlib", "Dates", "IniFile", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
-git-tree-sha1 = "37e4657cd56b11abe3d10cd4a1ec5fbdb4180263"
+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 = "1.7.4"
+version = "1.10.0"
 
 [[deps.HarfBuzz_jll]]
 deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
@@ -479,9 +589,9 @@ version = "2.8.1+1"
 
 [[deps.HypergeometricFunctions]]
 deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
-git-tree-sha1 = "432b5b03176f8182bd6841fbfc42c718506a2d5f"
+git-tree-sha1 = "f218fe3736ddf977e0e772bc9a586b2383da2685"
 uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
-version = "0.3.15"
+version = "0.3.23"
 
 [[deps.Hyperscript]]
 deps = ["Test"]
@@ -491,15 +601,15 @@ version = "0.0.4"
 
 [[deps.IOCapture]]
 deps = ["Logging", "Random"]
-git-tree-sha1 = "f7be53659ab06ddc986428d3a9dcc95f6fa6705a"
+git-tree-sha1 = "d75853a0bdbfb1ac815478bacd89cd27b550ace6"
 uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
-version = "0.2.2"
+version = "0.2.3"
 
 [[deps.ImageAxes]]
 deps = ["AxisArrays", "ImageBase", "ImageCore", "Reexport", "SimpleTraits"]
-git-tree-sha1 = "c54b581a83008dc7f292e205f4c409ab5caa0f04"
+git-tree-sha1 = "2e4520d67b0cef90865b3ef727594d2a58e0e1f8"
 uuid = "2803e5a7-5153-5ecf-9a86-9b4c37f5f5ac"
-version = "0.6.10"
+version = "0.6.11"
 
 [[deps.ImageBase]]
 deps = ["ImageCore", "Reexport"]
@@ -515,15 +625,15 @@ version = "0.9.4"
 
 [[deps.ImageIO]]
 deps = ["FileIO", "IndirectArrays", "JpegTurbo", "LazyModules", "Netpbm", "OpenEXR", "PNGFiles", "QOI", "Sixel", "TiffImages", "UUIDs"]
-git-tree-sha1 = "342f789fd041a55166764c351da1710db97ce0e0"
+git-tree-sha1 = "bca20b2f5d00c4fbc192c3212da8fa79f4688009"
 uuid = "82e4d734-157c-48bb-816b-45c225c6df19"
-version = "0.6.6"
+version = "0.6.7"
 
 [[deps.ImageMetadata]]
 deps = ["AxisArrays", "ImageAxes", "ImageBase", "ImageCore"]
-git-tree-sha1 = "36cbaebed194b292590cba2593da27b34763804a"
+git-tree-sha1 = "355e2b974f2e3212a75dfb60519de21361ad3cb7"
 uuid = "bc367c6b-8a6b-528e-b4bd-a4b897500b49"
-version = "0.9.8"
+version = "0.9.9"
 
 [[deps.Imath_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -537,20 +647,20 @@ uuid = "9b13fd28-a010-5f03-acff-a1bbcff69959"
 version = "1.0.0"
 
 [[deps.Inflate]]
-git-tree-sha1 = "5cd07aab533df5170988219191dfad0519391428"
+git-tree-sha1 = "ea8031dea4aff6bd41f1df8f2fdfb25b33626381"
 uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
-version = "0.1.3"
+version = "0.1.4"
 
-[[deps.IniFile]]
-git-tree-sha1 = "f550e6e32074c939295eb5ea6de31849ac2c9625"
-uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f"
-version = "0.5.1"
+[[deps.IntegerMathUtils]]
+git-tree-sha1 = "b8ffb903da9f7b8cf695a8bead8e01814aa24b30"
+uuid = "18e54dd8-cb9d-406c-a71d-865a43cbb235"
+version = "0.1.2"
 
 [[deps.IntelOpenMP_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "d979e54b71da82f3a65b62553da4fc3d18c9004c"
+git-tree-sha1 = "ad37c091f7d7daf900963171600d7c1c5c3ede32"
 uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
-version = "2018.0.3+2"
+version = "2023.2.0+0"
 
 [[deps.InteractiveUtils]]
 deps = ["Markdown"]
@@ -562,11 +672,21 @@ git-tree-sha1 = "721ec2cf720536ad005cb38f50dbba7b02419a15"
 uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
 version = "0.14.7"
 
+[[deps.IntervalArithmetic]]
+deps = ["CRlibm", "EnumX", "FastRounding", "LinearAlgebra", "Markdown", "Random", "RecipesBase", "RoundingEmulator", "SetRounding", "StaticArrays"]
+git-tree-sha1 = "f59e639916283c1d2e106d2b00910b50f4dab76c"
+uuid = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253"
+version = "0.21.2"
+
 [[deps.IntervalSets]]
-deps = ["Dates", "Random", "Statistics"]
-git-tree-sha1 = "16c0cc91853084cb5f58a78bd209513900206ce6"
+deps = ["Dates", "Random"]
+git-tree-sha1 = "3d8866c029dd6b16e69e0d4a939c4dfcb98fac47"
 uuid = "8197267c-284f-5f27-9208-e0e47529a953"
-version = "0.7.4"
+version = "0.7.8"
+weakdeps = ["Statistics"]
+
+    [deps.IntervalSets.extensions]
+    IntervalSetsStatisticsExt = "Statistics"
 
 [[deps.IrrationalConstants]]
 git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
@@ -580,9 +700,9 @@ uuid = "f1662d9f-8043-43de-a69a-05efc1cc6ff4"
 version = "0.1.1"
 
 [[deps.IterTools]]
-git-tree-sha1 = "fa6287a4469f5e048d763df38279ee729fbd44e5"
+git-tree-sha1 = "4ced6667f9974fc5c5943fa5e2ef1ca43ea9e450"
 uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
-version = "1.4.0"
+version = "1.8.0"
 
 [[deps.IteratorInterfaceExtensions]]
 git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
@@ -590,10 +710,10 @@ uuid = "82899510-4779-5014-852e-03e436cf321d"
 version = "1.0.0"
 
 [[deps.JLLWrappers]]
-deps = ["Preferences"]
-git-tree-sha1 = "abc9885a7ca2052a736a600f7fa66209f96506e1"
+deps = ["Artifacts", "Preferences"]
+git-tree-sha1 = "7e5d6779a1e09a36db2a7b6cff50942a0a7d0fca"
 uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
-version = "1.4.1"
+version = "1.5.0"
 
 [[deps.JSON]]
 deps = ["Dates", "Mmap", "Parsers", "Unicode"]
@@ -602,16 +722,16 @@ uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
 version = "0.21.4"
 
 [[deps.JSServe]]
-deps = ["Base64", "CodecZlib", "Colors", "Dates", "Deno_jll", "HTTP", "Hyperscript", "LinearAlgebra", "Markdown", "MsgPack", "Observables", "RelocatableFolders", "SHA", "Sockets", "Tables", "Test", "ThreadPools", "URIs", "UUIDs", "WidgetsBase"]
-git-tree-sha1 = "25a267af883dc82b1ad4233c92d6d2fb7061f1e9"
+deps = ["Base64", "CodecZlib", "Colors", "Dates", "Deno_jll", "HTTP", "Hyperscript", "LinearAlgebra", "Markdown", "MsgPack", "Observables", "RelocatableFolders", "SHA", "Sockets", "Tables", "ThreadPools", "URIs", "UUIDs", "WidgetsBase"]
+git-tree-sha1 = "2f849fa6a48753c5c715e9d630405fd2d0855573"
 uuid = "824d6782-a2ef-11e9-3a09-e5662e0c26f9"
-version = "2.2.3"
+version = "2.3.0"
 
 [[deps.JpegTurbo]]
 deps = ["CEnum", "FileIO", "ImageCore", "JpegTurbo_jll", "TOML"]
-git-tree-sha1 = "106b6aa272f294ba47e96bd3acbabdc0407b5c60"
+git-tree-sha1 = "d65930fa2bc96b07d7691c652d701dcbe7d9cf0b"
 uuid = "b835a17e-a41a-41e7-81f0-2f016b05efe0"
-version = "0.1.2"
+version = "0.1.4"
 
 [[deps.JpegTurbo_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -621,9 +741,9 @@ version = "2.1.91+0"
 
 [[deps.KernelDensity]]
 deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"]
-git-tree-sha1 = "9816b296736292a80b9a3200eb7fbb57aaa3917a"
+git-tree-sha1 = "90442c50e202a5cdf21a7899c66b240fdef14035"
 uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b"
-version = "0.6.5"
+version = "0.6.7"
 
 [[deps.LAME_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -631,6 +751,12 @@ git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
 uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
 version = "3.100.1+0"
 
+[[deps.LLVMOpenMP_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
+git-tree-sha1 = "f689897ccbe049adb19a065c495e75f372ecd42b"
+uuid = "1d63c593-3942-5779-bab2-d838dc0a180e"
+version = "15.0.4+0"
+
 [[deps.LZO_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
@@ -638,9 +764,9 @@ uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
 version = "2.10.1+0"
 
 [[deps.LaTeXStrings]]
-git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996"
+git-tree-sha1 = "50901ebc375ed41dbf8058da26f9de442febbbec"
 uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
-version = "1.3.0"
+version = "1.3.1"
 
 [[deps.LazilyInitializedFields]]
 git-tree-sha1 = "410fe4739a4b092f2ffe36fcb0dcc3ab12648ce1"
@@ -697,10 +823,10 @@ uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
 version = "1.42.0+0"
 
 [[deps.Libiconv_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "c7cb1f5d892775ba13767a87c7ada0b980ea0a71"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "f9557a255370125b405568f9767d6d195822a175"
 uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
-version = "1.16.1+2"
+version = "1.17.0+0"
 
 [[deps.Libmount_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -720,15 +846,33 @@ git-tree-sha1 = "e129d9391168c677cd4800f5c0abb1ed8cb3794f"
 uuid = "9c8b4983-aa76-5018-a973-4c85ecc9e179"
 version = "0.9.0"
 
+[[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.LinearAlgebraX]]
+deps = ["LinearAlgebra", "Mods", "Permutations", "Primes", "SimplePolynomials"]
+git-tree-sha1 = "558a338f1eeabe933f9c2d4052aa7c2c707c3d52"
+uuid = "9b3f67b0-2d00-526e-9884-9e4938f8fb88"
+version = "0.1.12"
+
+[[deps.LiveServer]]
+deps = ["HTTP", "LoggingExtras", "MIMEs", "Pkg", "Sockets", "Test"]
+git-tree-sha1 = "24d05efe53436b22a42bf2ae459f47c48b0c2603"
+uuid = "16fef848-5104-11e9-1b77-fb7a48bbb589"
+version = "1.2.7"
+
 [[deps.LogExpFunctions]]
 deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
-git-tree-sha1 = "0a1b7c2863e44523180fdb3146534e265a91870b"
+git-tree-sha1 = "7d6dd4e9212aebaeed356de34ccf262a3cd415aa"
 uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-version = "0.3.23"
+version = "0.3.26"
 
     [deps.LogExpFunctions.extensions]
     LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
@@ -745,38 +889,43 @@ uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
 [[deps.LoggingExtras]]
 deps = ["Dates", "Logging"]
-git-tree-sha1 = "cedb76b37bc5a6c702ade66be44f831fa23c681e"
+git-tree-sha1 = "c1dd6d7978c12545b4179fb6153b9250c96b0075"
 uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
-version = "1.0.0"
+version = "1.0.3"
+
+[[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"
+git-tree-sha1 = "eb006abbd7041c28e0d16260e50a24f8f9104913"
 uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
-version = "2022.2.0+0"
+version = "2023.2.0+0"
 
 [[deps.MacroTools]]
 deps = ["Markdown", "Random"]
-git-tree-sha1 = "42324d08725e200c23d4dfb549e0d5d89dede2d2"
+git-tree-sha1 = "9ee1618cbf5240e6d4e0371d6f24065083f60c48"
 uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
-version = "0.5.10"
+version = "0.5.11"
 
 [[deps.Makie]]
-deps = ["Animations", "Base64", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "Distributions", "DocStringExtensions", "Downloads", "FFMPEG", "FileIO", "FixedPointNumbers", "Formatting", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageIO", "InteractiveUtils", "IntervalSets", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MakieCore", "Markdown", "Match", "MathTeXEngine", "MiniQhull", "Observables", "OffsetArrays", "Packing", "PlotUtils", "PolygonOps", "Printf", "Random", "RelocatableFolders", "Setfield", "Showoff", "SignedDistanceFields", "SnoopPrecompile", "SparseArrays", "StableHashTraits", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "TriplotBase", "UnicodeFun"]
-git-tree-sha1 = "74657542dc85c3b72b8a5a9392d57713d8b7a999"
+deps = ["Animations", "Base64", "CRC32c", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "DelaunayTriangulation", "Distributions", "DocStringExtensions", "Downloads", "FFMPEG_jll", "FileIO", "FixedPointNumbers", "Formatting", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageIO", "InteractiveUtils", "IntervalSets", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MacroTools", "MakieCore", "Markdown", "MathTeXEngine", "Observables", "OffsetArrays", "Packing", "PlotUtils", "PolygonOps", "PrecompileTools", "Printf", "REPL", "Random", "RelocatableFolders", "Setfield", "ShaderAbstractions", "Showoff", "SignedDistanceFields", "SparseArrays", "StableHashTraits", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "TriplotBase", "UnicodeFun"]
+git-tree-sha1 = "35fa3c150cd96fd77417a23965b7037b90d6ffc9"
 uuid = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
-version = "0.19.4"
+version = "0.19.12"
 
 [[deps.MakieCore]]
-deps = ["Observables"]
-git-tree-sha1 = "9926529455a331ed73c19ff06d16906737a876ed"
+deps = ["Observables", "REPL"]
+git-tree-sha1 = "9b11acd07f21c4d035bd4156e789532e8ee2cc70"
 uuid = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
-version = "0.6.3"
+version = "0.6.9"
 
 [[deps.MappedArrays]]
-git-tree-sha1 = "e8b359ef06ec72e8c030463fe02efe5527ee5142"
+git-tree-sha1 = "2dab0221fe2b0f2cb6754eaa743cc266339f527e"
 uuid = "dbb5928d-eab1-5f90-85c2-b9b0edb7c900"
-version = "0.4.1"
+version = "0.4.2"
 
 [[deps.Markdown]]
 deps = ["Base64"]
@@ -788,16 +937,11 @@ git-tree-sha1 = "465a70f0fc7d443a00dcdc3267a497397b8a3899"
 uuid = "d0879d2d-cac2-40c8-9cee-1863dc0c7391"
 version = "0.1.2"
 
-[[deps.Match]]
-git-tree-sha1 = "1d9bc5c1a6e7ee24effb93f175c9342f9154d97f"
-uuid = "7eb4fadd-790c-5f42-8a69-bfa0b872bfbf"
-version = "1.2.0"
-
 [[deps.MathTeXEngine]]
 deps = ["AbstractTrees", "Automa", "DataStructures", "FreeTypeAbstraction", "GeometryBasics", "LaTeXStrings", "REPL", "RelocatableFolders", "Test", "UnicodeFun"]
-git-tree-sha1 = "64890e1e8087b71c03bd6b8af99b49c805b2a78d"
+git-tree-sha1 = "8f52dbaa1351ce4cb847d95568cb29e62a307d93"
 uuid = "0a4f8689-d25c-4efe-a92b-7142dfc1aa53"
-version = "0.5.5"
+version = "0.5.6"
 
 [[deps.MbedTLS]]
 deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "Random", "Sockets"]
@@ -810,12 +954,6 @@ deps = ["Artifacts", "Libdl"]
 uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
 version = "2.28.2+0"
 
-[[deps.MiniQhull]]
-deps = ["QhullMiniWrapper_jll"]
-git-tree-sha1 = "9dc837d180ee49eeb7c8b77bb1c860452634b0d1"
-uuid = "978d7f02-9e05-4691-894f-ae31a51d76ca"
-version = "0.4.0"
-
 [[deps.Missings]]
 deps = ["DataAPI"]
 git-tree-sha1 = "f66bdc5de519e8f8ae43bdc598782d35a25b1272"
@@ -825,6 +963,11 @@ version = "1.1.0"
 [[deps.Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
+[[deps.Mods]]
+git-tree-sha1 = "61be59e4daffff43a8cec04b5e0dc773cbb5db3a"
+uuid = "7475f97c-0381-53b1-977b-4c60186c8d62"
+version = "1.3.3"
+
 [[deps.MosaicViews]]
 deps = ["MappedArrays", "OffsetArrays", "PaddedViews", "StackViews"]
 git-tree-sha1 = "7b86a5d4d70a9f5cdf2dacb3cbe6d251d1a61dbe"
@@ -841,6 +984,17 @@ git-tree-sha1 = "fc8c15ca848b902015bd4a745d350f02cf791c2a"
 uuid = "99f44e22-a591-53d1-9472-aa23ef4bd671"
 version = "1.2.0"
 
+[[deps.Multisets]]
+git-tree-sha1 = "8d852646862c96e226367ad10c8af56099b4047e"
+uuid = "3b2b4ff1-bcff-5658-a3ee-dbcf1ce5ac09"
+version = "0.4.4"
+
+[[deps.NLSolversBase]]
+deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
+git-tree-sha1 = "a0b464d183da839699f4c79e7606d9d186ec172c"
+uuid = "d41bc354-129a-5804-8e4c-c37616107c6c"
+version = "7.8.3"
+
 [[deps.NaNMath]]
 deps = ["OpenLibm_jll"]
 git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4"
@@ -855,24 +1009,24 @@ version = "0.4.13"
 
 [[deps.Netpbm]]
 deps = ["FileIO", "ImageCore", "ImageMetadata"]
-git-tree-sha1 = "5ae7ca23e13855b3aba94550f26146c01d259267"
+git-tree-sha1 = "d92b107dbb887293622df7697a2223f9f8176fcd"
 uuid = "f09324ee-3d7c-5217-9330-fc30815ba969"
-version = "1.1.0"
+version = "1.1.1"
 
 [[deps.NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 version = "1.2.0"
 
 [[deps.Observables]]
-git-tree-sha1 = "6862738f9796b3edc1c09d0890afce4eca9e7e93"
+git-tree-sha1 = "7438a59546cf62428fc9d1bc94729146d37a7225"
 uuid = "510215fc-4207-5dde-b226-833fc4488ee2"
-version = "0.5.4"
+version = "0.5.5"
 
 [[deps.OffsetArrays]]
 deps = ["Adapt"]
-git-tree-sha1 = "82d7c9e310fe55aa54996e6f7f94674e2a38fcb4"
+git-tree-sha1 = "2ac17d29c523ce1cd38e27785a7d23024853a4bb"
 uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
-version = "1.12.9"
+version = "1.12.10"
 
 [[deps.Ogg_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -904,15 +1058,15 @@ version = "0.8.1+0"
 
 [[deps.OpenSSL]]
 deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
-git-tree-sha1 = "e9d68fe4b5f78f215aa2f0e6e6dc9e9911d33048"
+git-tree-sha1 = "51901a49222b09e3743c65b8847687ae5fc78eb2"
 uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c"
-version = "1.3.4"
+version = "1.4.1"
 
 [[deps.OpenSSL_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "9ff31d101d987eb9d66bd8b176ac7c277beccd09"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "cc6e1927ac521b659af340e0ca45828a3ffc748f"
 uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
-version = "1.1.20+0"
+version = "3.0.12+0"
 
 [[deps.OpenSpecFun_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
@@ -920,6 +1074,12 @@ git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
 uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
 version = "0.5.5+0"
 
+[[deps.Optim]]
+deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
+git-tree-sha1 = "01f85d9269b13fedc61e63cc72ee2213565f7a72"
+uuid = "429524aa-4258-5aef-a3af-852621145aeb"
+version = "1.7.8"
+
 [[deps.Opus_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720"
@@ -927,9 +1087,9 @@ uuid = "91d4177d-7536-5919-b921-800302f37372"
 version = "1.3.2+0"
 
 [[deps.OrderedCollections]]
-git-tree-sha1 = "d321bf2de576bf25ec4d3e4360faca399afca282"
+git-tree-sha1 = "2e73fe17cac3c62ad1aebe70d44c963c3cfdc3e3"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
-version = "1.6.0"
+version = "1.6.2"
 
 [[deps.PCRE2_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -938,15 +1098,15 @@ version = "10.42.0+0"
 
 [[deps.PDMats]]
 deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
-git-tree-sha1 = "67eae2738d63117a196f497d7db789821bce61d1"
+git-tree-sha1 = "66b2fcd977db5329aa35cac121e5b94dd6472198"
 uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
-version = "0.11.17"
+version = "0.11.28"
 
 [[deps.PNGFiles]]
 deps = ["Base64", "CEnum", "ImageCore", "IndirectArrays", "OffsetArrays", "libpng_jll"]
-git-tree-sha1 = "f809158b27eba0c18c269cf2a2be6ed751d3e81d"
+git-tree-sha1 = "5ded86ccaf0647349231ed6c0822c10886d4a1ee"
 uuid = "f57f5aa1-a3ce-4bc8-8ab9-96f992907883"
-version = "0.3.17"
+version = "0.4.1"
 
 [[deps.Packing]]
 deps = ["GeometryBasics"]
@@ -960,17 +1120,29 @@ git-tree-sha1 = "0fac6313486baae819364c52b4f483450a9d793f"
 uuid = "5432bcbf-9aad-5242-b902-cca2824c8663"
 version = "0.5.12"
 
+[[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"
+deps = ["Dates", "PrecompileTools", "UUIDs"]
+git-tree-sha1 = "716e24b21538abc91f6205fd1d8363f39b442851"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.5.8"
+version = "2.7.2"
+
+[[deps.Permutations]]
+deps = ["Combinatorics", "LinearAlgebra", "Random"]
+git-tree-sha1 = "4f69b02cf40a0f494d0438ab29de32e14ef96e7b"
+uuid = "2ae35dd2-176d-5d53-8349-f30d82d94d4f"
+version = "0.4.18"
 
 [[deps.Pixman_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29"
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
+git-tree-sha1 = "64779bc4c9784fee475689a1752ef4d5747c5e87"
 uuid = "30392449-352a-5448-841d-b1acce4e97dc"
-version = "0.40.1+0"
+version = "0.42.2+0"
 
 [[deps.Pkg]]
 deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
@@ -979,21 +1151,45 @@ version = "1.9.2"
 
 [[deps.PkgVersion]]
 deps = ["Pkg"]
-git-tree-sha1 = "f6cf8e7944e50901594838951729a1861e668cb8"
+git-tree-sha1 = "f9501cc0430a26bc3d156ae1b5b0c1b47af4d6da"
 uuid = "eebad327-c553-4316-9ea0-9fa01ccd7688"
-version = "0.3.2"
+version = "0.3.3"
 
 [[deps.PlotUtils]]
-deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "SnoopPrecompile", "Statistics"]
-git-tree-sha1 = "c95373e73290cf50a8a22c3375e4625ded5c5280"
+deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"]
+git-tree-sha1 = "f92e1315dadf8c46561fb9396e525f7200cdc227"
 uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
-version = "1.3.4"
+version = "1.3.5"
 
 [[deps.PolygonOps]]
 git-tree-sha1 = "77b3d3605fc1cd0b42d95eba87dfcd2bf67d5ff6"
 uuid = "647866c9-e3ac-4575-94e7-e3d426903924"
 version = "0.1.2"
 
+[[deps.Polynomials]]
+deps = ["LinearAlgebra", "RecipesBase", "Setfield", "SparseArrays"]
+git-tree-sha1 = "ea78a2764f31715093de7ab495e12c0187f231d1"
+uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
+version = "4.0.4"
+
+    [deps.Polynomials.extensions]
+    PolynomialsChainRulesCoreExt = "ChainRulesCore"
+    PolynomialsFFTWExt = "FFTW"
+    PolynomialsMakieCoreExt = "MakieCore"
+    PolynomialsMutableArithmeticsExt = "MutableArithmetics"
+
+    [deps.Polynomials.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
+    MakieCore = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
+    MutableArithmetics = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
+
+[[deps.PositiveFactorizations]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "17275485f373e6673f7e7f97051f703ed5b15b20"
+uuid = "85a6dd25-e78a-55b7-8502-1745935b8125"
+version = "0.2.4"
+
 [[deps.PrecompileTools]]
 deps = ["Preferences"]
 git-tree-sha1 = "03b4c25b43cb84cee5c90aa9b5ea0a78fd848d2f"
@@ -1002,9 +1198,15 @@ version = "1.2.0"
 
 [[deps.Preferences]]
 deps = ["TOML"]
-git-tree-sha1 = "47e5f437cc0e7ef2ce8406ce1e7e24d44915f88d"
+git-tree-sha1 = "00805cd429dcb4870060ff49ef443486c262e38e"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
-version = "1.3.0"
+version = "1.4.1"
+
+[[deps.Primes]]
+deps = ["IntegerMathUtils"]
+git-tree-sha1 = "4c9f306e5d6603ae203c2000dd460d81a5251489"
+uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae"
+version = "0.5.4"
 
 [[deps.Printf]]
 deps = ["Unicode"]
@@ -1012,9 +1214,9 @@ uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
 
 [[deps.ProgressMeter]]
 deps = ["Distributed", "Printf"]
-git-tree-sha1 = "d7a7aef8f8f2d537104f170139553b14dfe39fe9"
+git-tree-sha1 = "00099623ffee15972c16111bcf84c58a0051257c"
 uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
-version = "1.7.2"
+version = "1.9.0"
 
 [[deps.QOI]]
 deps = ["ColorTypes", "FileIO", "FixedPointNumbers"]
@@ -1022,23 +1224,11 @@ git-tree-sha1 = "18e8f4d1426e965c7b532ddd260599e1510d26ce"
 uuid = "4b34888f-f399-49d4-9bb3-47ed5cae4e65"
 version = "1.0.0"
 
-[[deps.QhullMiniWrapper_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Qhull_jll"]
-git-tree-sha1 = "607cf73c03f8a9f83b36db0b86a3a9c14179621f"
-uuid = "460c41e3-6112-5d7f-b78c-b6823adb3f2d"
-version = "1.0.0+1"
-
-[[deps.Qhull_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "238dd7e2cc577281976b9681702174850f8d4cbc"
-uuid = "784f63db-0788-585a-bace-daefebcd302b"
-version = "8.0.1001+0"
-
 [[deps.QuadGK]]
 deps = ["DataStructures", "LinearAlgebra"]
-git-tree-sha1 = "6ec7ac8412e83d57e313393220879ede1740f9ee"
+git-tree-sha1 = "9ebcd48c498668c7fa0e97a9cae873fbee7bfee1"
 uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
-version = "2.8.2"
+version = "2.9.1"
 
 [[deps.REPL]]
 deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
@@ -1055,15 +1245,19 @@ version = "0.3.2"
 
 [[deps.Ratios]]
 deps = ["Requires"]
-git-tree-sha1 = "dc84268fe0e3335a62e315a3a7cf2afa7178a734"
+git-tree-sha1 = "1342a47bf3260ee108163042310d26f2be5ec90b"
 uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
-version = "0.4.3"
+version = "0.4.5"
+weakdeps = ["FixedPointNumbers"]
+
+    [deps.Ratios.extensions]
+    RatiosFixedPointNumbersExt = "FixedPointNumbers"
 
 [[deps.RecipesBase]]
-deps = ["SnoopPrecompile"]
-git-tree-sha1 = "261dddd3b862bd2c940cf6ca4d1c8fe593e457c8"
+deps = ["PrecompileTools"]
+git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff"
 uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
-version = "1.3.3"
+version = "1.3.4"
 
 [[deps.Reexport]]
 git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
@@ -1078,9 +1272,9 @@ version = "0.1.0"
 
 [[deps.RelocatableFolders]]
 deps = ["SHA", "Scratch"]
-git-tree-sha1 = "90bc7a7c96410424509e4263e277e43250c05691"
+git-tree-sha1 = "ffdaf70d81cf6ff22c2b6e733c900c3321cab864"
 uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
-version = "1.0.0"
+version = "1.0.1"
 
 [[deps.Requires]]
 deps = ["UUIDs"]
@@ -1088,6 +1282,12 @@ git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
 uuid = "ae029012-a4dd-5104-9daa-d747884805df"
 version = "1.3.0"
 
+[[deps.RingLists]]
+deps = ["Random"]
+git-tree-sha1 = "f39da63aa6d2d88e0c1bd20ed6a3ff9ea7171ada"
+uuid = "286e9d63-9694-5540-9e3c-4e6708fa07b2"
+version = "0.2.8"
+
 [[deps.Rmath]]
 deps = ["Random", "Rmath_jll"]
 git-tree-sha1 = "f65dcb5fa46aee0cf9ed6274ccbd597adc49aa7b"
@@ -1100,31 +1300,35 @@ git-tree-sha1 = "6ed52fdd3382cf21947b15e8870ac0ddbff736da"
 uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
 version = "0.4.0+0"
 
+[[deps.RoundingEmulator]]
+git-tree-sha1 = "40b9edad2e5287e05bd413a38f61a8ff55b9557b"
+uuid = "5eaf0fd0-dfba-4ccb-bf02-d820a40db705"
+version = "0.2.1"
+
 [[deps.SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
 version = "0.7.0"
 
 [[deps.SIMD]]
-deps = ["SnoopPrecompile"]
-git-tree-sha1 = "8b20084a97b004588125caebf418d8cab9e393d1"
+deps = ["PrecompileTools"]
+git-tree-sha1 = "d8911cc125da009051fb35322415641d02d9e37f"
 uuid = "fdea26ae-647d-5447-a871-4b548cad5224"
-version = "3.4.4"
-
-[[deps.ScanByte]]
-deps = ["Libdl", "SIMD"]
-git-tree-sha1 = "2436b15f376005e8790e318329560dcc67188e84"
-uuid = "7b38b023-a4d7-4c5e-8d43-3f3097f304eb"
-version = "0.3.3"
+version = "3.4.6"
 
 [[deps.Scratch]]
 deps = ["Dates"]
-git-tree-sha1 = "30449ee12237627992a99d5e30ae63e4d78cd24a"
+git-tree-sha1 = "3bac05bc7e74a75fd9cba4295cde4045d9fe2386"
 uuid = "6c6a2e73-6563-6170-7368-637461726353"
-version = "1.2.0"
+version = "1.2.1"
 
 [[deps.Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 
+[[deps.SetRounding]]
+git-tree-sha1 = "d7a25e439d07a17b7cdf97eecee504c50fedf5f6"
+uuid = "3cc68bcd-71a2-5612-b932-767ffbe40ab0"
+version = "0.2.1"
+
 [[deps.Setfield]]
 deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"]
 git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac"
@@ -1133,9 +1337,9 @@ version = "1.1.1"
 
 [[deps.ShaderAbstractions]]
 deps = ["ColorTypes", "FixedPointNumbers", "GeometryBasics", "LinearAlgebra", "Observables", "StaticArrays", "StructArrays", "Tables"]
-git-tree-sha1 = "0d15c3e7b2003f4451714f08ffec2b77badc2dc4"
+git-tree-sha1 = "db0219befe4507878b1a90e07820fed3e62c289d"
 uuid = "65257c39-d410-5151-9873-9b3e5be5013e"
-version = "0.3.0"
+version = "0.4.0"
 
 [[deps.SharedArrays]]
 deps = ["Distributed", "Mmap", "Random", "Serialization"]
@@ -1158,6 +1362,30 @@ git-tree-sha1 = "874e8867b33a00e784c8a7e4b60afe9e037b74e1"
 uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7"
 version = "1.1.0"
 
+[[deps.SimpleGraphs]]
+deps = ["AbstractLattices", "Combinatorics", "DataStructures", "IterTools", "LightXML", "LinearAlgebra", "LinearAlgebraX", "Optim", "Primes", "Random", "RingLists", "SimplePartitions", "SimplePolynomials", "SimpleRandom", "SparseArrays", "Statistics"]
+git-tree-sha1 = "b608903049d11cc557c45e03b3a53e9260579c19"
+uuid = "55797a34-41de-5266-9ec1-32ac4eb504d3"
+version = "0.8.4"
+
+[[deps.SimplePartitions]]
+deps = ["AbstractLattices", "DataStructures", "Permutations"]
+git-tree-sha1 = "dcc02923a53f316ab97da8ef3136e80b4543dbf1"
+uuid = "ec83eff0-a5b5-5643-ae32-5cbf6eedec9d"
+version = "0.3.0"
+
+[[deps.SimplePolynomials]]
+deps = ["Mods", "Multisets", "Polynomials", "Primes"]
+git-tree-sha1 = "d537c31cf9995236166e3e9afc424a5a1c59ff9d"
+uuid = "cc47b68c-3164-5771-a705-2bc0097375a0"
+version = "0.2.14"
+
+[[deps.SimpleRandom]]
+deps = ["Distributions", "LinearAlgebra", "Random"]
+git-tree-sha1 = "3a6fb395e37afab81aeea85bae48a4db5cd7244a"
+uuid = "a6525b86-64cd-54fa-8f65-62fc48bdc0e8"
+version = "0.3.1"
+
 [[deps.SimpleTraits]]
 deps = ["InteractiveUtils", "MacroTools"]
 git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231"
@@ -1166,24 +1394,18 @@ version = "0.9.4"
 
 [[deps.Sixel]]
 deps = ["Dates", "FileIO", "ImageCore", "IndirectArrays", "OffsetArrays", "REPL", "libsixel_jll"]
-git-tree-sha1 = "8fb59825be681d451c246a795117f317ecbcaa28"
+git-tree-sha1 = "2da10356e31327c7096832eb9cd86307a50b1eb6"
 uuid = "45858cf5-a6b0-47a3-bbea-62219f50df47"
-version = "0.1.2"
-
-[[deps.SnoopPrecompile]]
-deps = ["Preferences"]
-git-tree-sha1 = "e760a70afdcd461cf01a575947738d359234665c"
-uuid = "66db9d55-30c0-4569-8b51-7e840670fc0c"
-version = "1.0.3"
+version = "0.1.3"
 
 [[deps.Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
 [[deps.SortingAlgorithms]]
 deps = ["DataStructures"]
-git-tree-sha1 = "a4ada03f999bd01b3a25dcaa30b2d929fe537e00"
+git-tree-sha1 = "5165dfb9fd131cf0c6957a3a7605dede376e7b63"
 uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
-version = "1.1.0"
+version = "1.2.0"
 
 [[deps.SparseArrays]]
 deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
@@ -1191,19 +1413,19 @@ uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 
 [[deps.SpecialFunctions]]
 deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
-git-tree-sha1 = "ef28127915f4229c971eb43f3fc075dd3fe91880"
+git-tree-sha1 = "e2cfc4012a19088254b3950b85c3c1d8882d864d"
 uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
-version = "2.2.0"
+version = "2.3.1"
 weakdeps = ["ChainRulesCore"]
 
     [deps.SpecialFunctions.extensions]
     SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"
 
 [[deps.StableHashTraits]]
-deps = ["CRC32c", "Compat", "Dates", "SHA", "Tables", "TupleTools", "UUIDs"]
-git-tree-sha1 = "0b8b801b8f03a329a4e86b44c5e8a7d7f4fe10a3"
+deps = ["Compat", "SHA", "Tables", "TupleTools"]
+git-tree-sha1 = "d29023a76780bb8a3f2273b29153fd00828cb73f"
 uuid = "c5dd0088-6c3f-4803-b00e-f31a60c170fa"
-version = "0.3.1"
+version = "1.1.1"
 
 [[deps.StackViews]]
 deps = ["OffsetArrays"]
@@ -1212,15 +1434,19 @@ uuid = "cae243ae-269e-4f55-b966-ac2d0dc13c15"
 version = "0.1.1"
 
 [[deps.StaticArrays]]
-deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"]
-git-tree-sha1 = "70e0cc0c0f9ef7ea76b3d7a50ada18c8c52e69a2"
+deps = ["LinearAlgebra", "Random", "StaticArraysCore"]
+git-tree-sha1 = "0adf069a2a490c47273727e029371b31d44b72b2"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.5.20"
+version = "1.6.5"
+weakdeps = ["Statistics"]
+
+    [deps.StaticArrays.extensions]
+    StaticArraysStatisticsExt = "Statistics"
 
 [[deps.StaticArraysCore]]
-git-tree-sha1 = "6b7ba252635a5eff6a0b0664a41ee140a1c9e72a"
+git-tree-sha1 = "36b3d696ce6366023a0ea192b4cd442268995a0d"
 uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
-version = "1.4.0"
+version = "1.4.2"
 
 [[deps.Statistics]]
 deps = ["LinearAlgebra", "SparseArrays"]
@@ -1229,15 +1455,15 @@ version = "1.9.0"
 
 [[deps.StatsAPI]]
 deps = ["LinearAlgebra"]
-git-tree-sha1 = "45a7769a04a3cf80da1c1c7c60caf932e6f4c9f7"
+git-tree-sha1 = "1ff449ad350c9c4cbc756624d6f8a8c3ef56d3ed"
 uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
-version = "1.6.0"
+version = "1.7.0"
 
 [[deps.StatsBase]]
 deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
-git-tree-sha1 = "d1bf48bfcc554a3761a133fe3a9bb01488e06916"
+git-tree-sha1 = "1d77abd07f617c4868c33d4f5b9e1dbb2643c9cf"
 uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
-version = "0.33.21"
+version = "0.34.2"
 
 [[deps.StatsFuns]]
 deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
@@ -1254,10 +1480,10 @@ version = "1.3.0"
     InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
 
 [[deps.StructArrays]]
-deps = ["Adapt", "DataAPI", "GPUArraysCore", "StaticArraysCore", "Tables"]
-git-tree-sha1 = "521a0e828e98bb69042fec1809c1b5a680eb7389"
+deps = ["Adapt", "ConstructionBase", "DataAPI", "GPUArraysCore", "StaticArraysCore", "Tables"]
+git-tree-sha1 = "0a3db38e4cce3c54fe7a71f831cd7b6194a54213"
 uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
-version = "0.6.15"
+version = "0.6.16"
 
 [[deps.SuiteSparse]]
 deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
@@ -1280,10 +1506,10 @@ uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
 version = "1.0.1"
 
 [[deps.Tables]]
-deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"]
-git-tree-sha1 = "1544b926975372da01227b382066ab70e574a3ec"
+deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits"]
+git-tree-sha1 = "cb76cf677714c095e535e3501ac7954732aeea2d"
 uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
-version = "1.10.1"
+version = "1.11.1"
 
 [[deps.Tar]]
 deps = ["ArgTools", "SHA"]
@@ -1297,10 +1523,10 @@ uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50"
 version = "0.1.1"
 
 [[deps.Tensors]]
-deps = ["ForwardDiff", "LinearAlgebra", "SIMD", "SnoopPrecompile", "StaticArrays", "Statistics"]
-git-tree-sha1 = "71f054343e85ab1eab12bf8336004309002ff82d"
+deps = ["ForwardDiff", "LinearAlgebra", "PrecompileTools", "SIMD", "StaticArrays", "Statistics"]
+git-tree-sha1 = "957f256fb380cad64cae4da39e562ecfb5c3fec9"
 uuid = "48a634ad-e948-5137-8d70-aa71f2a747f4"
-version = "1.13.1"
+version = "1.16.1"
 
 [[deps.Test]]
 deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
@@ -1314,15 +1540,15 @@ version = "2.1.1"
 
 [[deps.TiffImages]]
 deps = ["ColorTypes", "DataStructures", "DocStringExtensions", "FileIO", "FixedPointNumbers", "IndirectArrays", "Inflate", "Mmap", "OffsetArrays", "PkgVersion", "ProgressMeter", "UUIDs"]
-git-tree-sha1 = "8621f5c499a8aa4aa970b1ae381aae0ef1576966"
+git-tree-sha1 = "34cc045dd0aaa59b8bbe86c644679bc57f1d5bd0"
 uuid = "731e570b-9d59-4bfa-96dc-6df516fadf69"
-version = "0.6.4"
+version = "0.6.8"
 
 [[deps.TranscodingStreams]]
 deps = ["Random", "Test"]
-git-tree-sha1 = "0b829474fed270a4b0ab07117dce9b9a2fa7581a"
+git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769"
 uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
-version = "0.9.12"
+version = "0.9.13"
 
 [[deps.TriplotBase]]
 git-tree-sha1 = "4d4ed7f294cda19382ff7de4c137d24d16adc89b"
@@ -1330,19 +1556,24 @@ uuid = "981d1d27-644d-49a2-9326-4793e63143c3"
 version = "0.1.0"
 
 [[deps.TupleTools]]
-git-tree-sha1 = "3c712976c47707ff893cf6ba4354aa14db1d8938"
+git-tree-sha1 = "155515ed4c4236db30049ac1495e2969cc06be9d"
 uuid = "9d95972d-f1c8-5527-a6e0-b4b365fa01f6"
-version = "1.3.0"
+version = "1.4.3"
 
 [[deps.URIs]]
-git-tree-sha1 = "074f993b0ca030848b897beff716d93aca60f06a"
+git-tree-sha1 = "67db6cc7b3821e19ebe75791a9dd19c9b1188f2b"
 uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
-version = "1.4.2"
+version = "1.5.1"
 
 [[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"
 
@@ -1358,10 +1589,10 @@ uuid = "4004b06d-e244-455f-a6ce-a5f9919cc534"
 version = "1.0.1"
 
 [[deps.WGLMakie]]
-deps = ["Colors", "FileIO", "FreeTypeAbstraction", "GeometryBasics", "Hyperscript", "JSServe", "LinearAlgebra", "Makie", "Observables", "PNGFiles", "RelocatableFolders", "ShaderAbstractions", "SnoopPrecompile", "StaticArrays"]
-git-tree-sha1 = "c4831e1311881854ddc1c302203e8cae45091e6d"
+deps = ["Colors", "FileIO", "FreeTypeAbstraction", "GeometryBasics", "Hyperscript", "JSServe", "LinearAlgebra", "Makie", "Observables", "PNGFiles", "PrecompileTools", "RelocatableFolders", "ShaderAbstractions", "StaticArrays"]
+git-tree-sha1 = "2328be9950072c7250d340798b25222779ce55bb"
 uuid = "276b4fcb-3e11-5398-bf8b-a0c2d153d008"
-version = "0.8.8"
+version = "0.8.16"
 
 [[deps.WidgetsBase]]
 deps = ["Observables"]
@@ -1377,15 +1608,15 @@ version = "0.5.5"
 
 [[deps.WriteVTK]]
 deps = ["Base64", "CodecZlib", "FillArrays", "LightXML", "TranscodingStreams", "VTKBase"]
-git-tree-sha1 = "7b46936613e41cfe1c6a5897d243ddcab8feabec"
+git-tree-sha1 = "41f0dc2a8f6fd860c266b91fd5cdf4fead65ae69"
 uuid = "64499a7a-5c06-52f2-abe2-ccb03c286192"
-version = "1.18.0"
+version = "1.18.1"
 
 [[deps.XML2_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
-git-tree-sha1 = "93c41695bc1c08c46c5899f4fe06d6ead504bb73"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
+git-tree-sha1 = "24b81b59bd35b3c42ab84fa589086e19be919916"
 uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
-version = "2.10.3+0"
+version = "2.11.5+0"
 
 [[deps.XSLT_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
@@ -1394,22 +1625,22 @@ 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"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
+git-tree-sha1 = "afead5aba5aa507ad5a3bf01f58f82c8d1403495"
 uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
-version = "1.6.9+4"
+version = "1.8.6+0"
 
 [[deps.Xorg_libXau_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8"
 uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
-version = "1.0.9+4"
+version = "1.0.11+0"
 
 [[deps.Xorg_libXdmcp_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7"
 uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
-version = "1.1.3+4"
+version = "1.1.4+0"
 
 [[deps.Xorg_libXext_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
@@ -1424,22 +1655,22 @@ 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"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9"
 uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
-version = "0.1.0+3"
+version = "0.1.1+0"
 
 [[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"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
+git-tree-sha1 = "b4bfde5d5b652e22b9c790ad00af08b6d042b97d"
 uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
-version = "1.13.0+3"
+version = "1.15.0+0"
 
 [[deps.Xorg_xtrans_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77"
 uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
-version = "1.4.0+3"
+version = "1.5.0+0"
 
 [[deps.Zlib_jll]]
 deps = ["Libdl"]
diff --git a/docs/Project.toml b/docs/Project.toml
index ebcd641..926847d 100644
--- a/docs/Project.toml
+++ b/docs/Project.toml
@@ -5,8 +5,6 @@ Ferrite = "c061ca5d-56c9-439f-9c0e-210fe06d3992"
 FerriteViz = "59d0093e-b1f1-4fb7-ac85-ab57e45f39d9"
 JSServe = "824d6782-a2ef-11e9-3a09-e5662e0c26f9"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+LiveServer = "16fef848-5104-11e9-1b77-fb7a48bbb589"
 SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 WGLMakie = "276b4fcb-3e11-5398-bf8b-a0c2d153d008"
-
-[compat]
-JSServe = "2.2.3"
diff --git a/docs/liveserver.jl b/docs/liveserver.jl
new file mode 100644
index 0000000..89bce85
--- /dev/null
+++ b/docs/liveserver.jl
@@ -0,0 +1,24 @@
+#!/usr/bin/env julia
+
+# Root of the repository
+const repo_root = dirname(@__DIR__)
+
+# Make sure docs environment is active and instantiated
+import Pkg
+Pkg.activate(@__DIR__)
+Pkg.instantiate()
+
+# Communicate with docs/make.jl that we are running in live mode
+push!(ARGS, "liveserver")
+
+# Run LiveServer.servedocs(...)
+import LiveServer
+LiveServer.servedocs(;
+    # Documentation root where make.jl and src/ are located
+    foldername = joinpath(repo_root, "docs"),
+    # Extra source folder to watch for changes
+    include_dirs = [
+        # Watch the src folder so docstrings can be Revise'd
+        joinpath(repo_root, "src"),
+    ]
+)
diff --git a/docs/src/index.md b/docs/src/index.md
index a260ae7..233e175 100644
--- a/docs/src/index.md
+++ b/docs/src/index.md
@@ -40,3 +40,13 @@ This package offers a set of unique features that are not easily reproducible wi
 - GPU powered plotting with GLMakie.jl, jupyter/pluto notebook plotting with WGLMakie.jl and vector graphics with CairoMakie.jl
 - visualization of high order solutions via first order refinement
 - visualization of non-conforming solutions, e.g. for Crouzeix-Raviart ansatz
+
+## Viewing the docs locally
+
+To view the docs locally use the provided live server:
+
+```julia
+include("docs/liveserver.jl")
+```
+
+Opening the html files in the browser directly might fail with a CORS error, manifesting itself figures which don't render correctly.