Mercurial > repos > public > sbplib_julia
changeset 2058:aeb0a9b81ff7 default tip
Add notebook with examples of how objects are shown on the repl
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Sat, 14 Feb 2026 23:26:00 +0100 |
| parents | 2f23d1ef6e1c |
| children | |
| files | notebooks/display_examples_nb.jl |
| diffstat | 1 files changed, 697 insertions(+), 0 deletions(-) [+] |
line wrap: on
line diff
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/notebooks/display_examples_nb.jl Sat Feb 14 23:26:00 2026 +0100 @@ -0,0 +1,697 @@ +### A Pluto.jl notebook ### +# v0.20.21 + +using Markdown +using InteractiveUtils + +# ╔═╡ 1f8a7cfa-94cc-41bf-a8c8-2dc5218741e0 +begin + using Diffinitive + using Diffinitive.Grids + using Diffinitive.LazyTensors + using Diffinitive.SbpOperators + using PlutoUI + using StaticArrays +end + +# ╔═╡ 885c60d7-d33c-4741-ae49-6a57510ec7b5 +md""" +# Display tests +""" + +# ╔═╡ 9ee3372a-e78d-4f74-84ce-e04208d1558d +repl_show(v) = repr(MIME("text/plain"), v) |> println + +# ╔═╡ 51c02ced-f684-417f-83f1-cade4edda43f +md""" +Common julia objects to compare with: +""" + +# ╔═╡ 25c90528-22cd-41ca-8572-ccd946928318 +1 |> repl_show + +# ╔═╡ e7f3e466-9833-428c-99ad-20bc9d88d951 +[1,1] |> repl_show + +# ╔═╡ 2e74f9b5-5b4f-4887-8a30-4655d560a45c +[1;; 2;;] |> repl_show + +# ╔═╡ 365524b5-3182-4691-9817-1bbec1492c14 +[1; 2;;] |> repl_show + +# ╔═╡ d5725e1b-bc4f-4a95-975d-179c193908c9 +[1; 2;; 3; 4;;] |> repl_show + +# ╔═╡ b824ef8d-5026-4861-9a23-45a7939fd38c +"hej" |> repl_show + +# ╔═╡ fbe365a2-f95e-4297-8326-c18d22932869 +Dict("A" => 1, "B"=> 2) |> repl_show + +# ╔═╡ 56670aff-0343-41cb-a653-35a61376dda4 +1//2 |> repl_show + +# ╔═╡ b5a6491e-a93e-4058-8ceb-be1dc4d4c100 +BigInt(30) |> repl_show + +# ╔═╡ 828d57a1-ee58-4204-8050-78127821a4c6 +1:10 |> repl_show + +# ╔═╡ 127d34f6-69f7-4082-a74b-0be86942f153 +range(0,1,10) |> repl_show + +# ╔═╡ c46a278e-a102-4544-82d8-7df816440410 +rand(2,2,2,2) |> repl_show + +# ╔═╡ 5aa7079c-8005-47f1-bb82-c35f3aa54b42 +md""" +## Parameter spaces +""" + +# ╔═╡ 08f493ed-189c-43f3-86f2-95fc475ec0e7 +Interval(1,2) |> repl_show + +# ╔═╡ f7244bf7-8266-469f-b07f-30c203d9af48 +md""" +## Grids +""" + +# ╔═╡ 0e14bd28-5dd1-44c4-abf4-23b70546bd49 +equidistant_grid(0,1,11) |> repl_show + +# ╔═╡ fcb74341-6b03-4ada-8f5d-bc245c23679b +equidistant_grid((0,0),(1,1),10,20) |> repl_show + +# ╔═╡ 8dec053b-eaae-463d-800b-b8d89d5d550b +ZeroDimGrid(@SVector[1,2]) |> repl_show + +# ╔═╡ c1172a36-c5d7-47dc-bc79-af0d43a8f6ee +let + x̄((ξ, η)) = @SVector[2ξ + η*(1-η), 3η+(1+η/2)*ξ^2] + J((ξ, η)) = @SMatrix[ + 2 1-2η; + (2+η)*ξ 3+1/2*ξ^2; + ] + + mapped_grid(x̄, J, 10,10) |> repl_show +end + +# ╔═╡ 9c889176-865b-402d-81b5-71957d2878f7 +md""" +## LazyArrays +""" + +# ╔═╡ 85e8e748-e575-4a29-80c7-22d110578343 +LazyTensors.LazyConstantArray(10, (5,)) |> repl_show + +# ╔═╡ 804ad722-9081-4d1d-b0d2-c536a26fe20d +LazyTensors.LazyFunctionArray((i,j)->10*i+j, (3,4)) |> repl_show + +# ╔═╡ a70c689d-0851-497f-938a-e5c92ce59ddb +md""" +## LazyTensors +""" + +# ╔═╡ 2afde3fe-96ed-4d7e-a79b-fc880e0da268 +LazyTensors.IdentityTensor(5) |> repl_show + +# ╔═╡ 5451a071-14ae-47ae-99c5-4d65508d280f +LazyTensors.IdentityTensor(4,3) |> repl_show + +# ╔═╡ b6b06fe9-de16-41ca-ad45-eef6dd038485 +LazyTensors.ScalingTensor(2., (4,3)) |> repl_show + +# ╔═╡ d1c8c3a0-76ec-4c32-853e-0471d71e5cf0 +LazyTensors.DiagonalTensor([1,2,3,4]) |> repl_show + +# ╔═╡ 6051c144-9982-4bd9-92f9-d0aaf3961872 +LazyTensors.DenseTensor(rand(2,2,2,2), (1,2), (3,4)) |> repl_show + +# ╔═╡ 12a9f430-f96b-43f2-bf63-149b5a028fd7 +begin + g1 = equidistant_grid(0,1,10) + g2 = equidistant_grid((0,0),(1,1),10, 11) + x̄((ξ, η)) = @SVector[2ξ + η*(1-η), 3η+(1+η/2)*ξ^2] + J((ξ, η)) = @SMatrix[ + 2 1-2η; + (2+η)*ξ 3+1/2*ξ^2; + ] + mg = mapped_grid(x̄, J, 10,10) + stencil_set2 = stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=2) + stencil_set4 = stencil_set = read_stencil_set(sbp_operators_path()*"standard_diagonal.toml"; order=4) +end; + +# ╔═╡ e44f8d91-1cbf-44be-bef1-40e60c4a777f +first_derivative(g1, stencil_set2) |> repl_show + +# ╔═╡ c378b88a-1d74-44a2-bdc1-b371da478de8 +first_derivative(g1, stencil_set4) |> repl_show + +# ╔═╡ 9614cda7-b48c-4925-89b5-113cf514f20f +first_derivative(g2, stencil_set2, 1) |> repl_show + +# ╔═╡ 725e9430-4821-4939-bfef-6c186d2dc500 +first_derivative(g2, stencil_set4, 2) |> repl_show + +# ╔═╡ e8ca54a1-a6db-40a1-b44a-73e175894df4 +second_derivative(g1, stencil_set2) |> repl_show + +# ╔═╡ 5d1f10fe-f620-469c-822c-55955a5541ad +second_derivative(g1, stencil_set4) |> repl_show + +# ╔═╡ fdc531d4-9d27-41dc-ba79-6febefde223a +second_derivative(g2, stencil_set2, 1) |> repl_show + +# ╔═╡ fff2e04a-357f-4254-996e-d5ccd9ff31f8 +second_derivative(g2, stencil_set4, 2) |> repl_show + +# ╔═╡ 959b071e-1ef6-4f29-aa8b-d88bfef80c00 +second_derivative_variable(g1, map(x->2x, g1), stencil_set2) |> repl_show + +# ╔═╡ 0a0f7e77-a789-4fb3-a4c2-7853b67788ec +second_derivative_variable(g1, map(x->2x, g1), stencil_set4) |> repl_show + +# ╔═╡ 177e0893-fbb1-4bb5-a108-e5990e943ab7 + second_derivative_variable(g2, map(x->x[1]+x[2], g2), stencil_set2, 1) |> repl_show + +# ╔═╡ f1b6bd54-baf6-4360-aec0-bd8d52497894 +second_derivative_variable(g2, map(x->x[1]+x[2], g2), stencil_set4, 2) |> repl_show + +# ╔═╡ a8f8343e-cd6f-451d-a2b3-e5f0f561f8af +undivided_skewed04(g1,4)[1] |> repl_show + +# ╔═╡ 50291998-7194-4a0d-9c19-eacc48b3f5da +undivided_skewed04(g1,4)[2] |> repl_show + +# ╔═╡ 1720af08-85e4-4502-b37e-9fa73008e221 +undivided_skewed04(g2,4,1)[1] |> repl_show + +# ╔═╡ 4a72f217-2423-4bc1-8452-eb28dde36689 +undivided_skewed04(g2,4,2)[2] |> repl_show + +# ╔═╡ 48a28ade-73bb-461d-ab96-82f92ed199c8 +inner_product(g1, stencil_set2) |> repl_show + +# ╔═╡ 3c681a63-94a6-4677-aef7-df903c463896 +inner_product(g1, stencil_set4) |> repl_show + +# ╔═╡ db735370-153a-40f9-b77f-9f60e30a35c4 +inner_product(g2, stencil_set2) |> repl_show + +# ╔═╡ 613ebac7-50bc-424c-8fa2-064b64c93319 +inner_product(g2, stencil_set4) |> repl_show + +# ╔═╡ 9e7d7667-960e-491f-8b83-e3b01a0db5b0 +inverse_inner_product(g2, stencil_set4) |> repl_show + +# ╔═╡ c3005e74-5b96-4b0c-9c57-b7d02968ed94 +boundary_restriction(g1, stencil_set, LowerBoundary()) |> repl_show + +# ╔═╡ fd019973-0d54-4e31-b43b-f53a704cb01c +boundary_restriction(g1, stencil_set, UpperBoundary()) |> repl_show + +# ╔═╡ df2e8af0-9ca5-4972-8771-f8bea1591f85 +boundary_restriction(g2, stencil_set, CartesianBoundary{1,LowerBoundary}()) |> repl_show + +# ╔═╡ 8e538109-16a1-4af7-a986-9dc1455b7de7 +boundary_restriction(g2, stencil_set, CartesianBoundary{2,UpperBoundary}()) |> repl_show + +# ╔═╡ 5f3744a4-72d8-4448-820f-a928bfaaf825 +normal_derivative(g1, stencil_set, LowerBoundary()) |> repl_show + +# ╔═╡ 4529b5c4-4905-4fd3-9aaa-5f88faa841c8 +normal_derivative(g1, stencil_set, UpperBoundary()) |> repl_show + +# ╔═╡ c3bb0450-a7d5-44c1-9ca9-9e1ecf2db9f8 +normal_derivative(g2, stencil_set, CartesianBoundary{1,LowerBoundary}()) |> repl_show + +# ╔═╡ da63e57a-0794-4cd8-9941-ada0e5c1c40e +normal_derivative(g2, stencil_set, CartesianBoundary{2,UpperBoundary}()) |> repl_show + +# ╔═╡ 0b951425-979c-4ac9-8581-f690b729bab4 +md""" +## Tensor operations +""" + +# ╔═╡ a39bb6e2-f1fe-4206-8ee3-88ff0c075233 +begin + Dx = first_derivative(g2, stencil_set2, 1) + Dy = first_derivative(g2, stencil_set4, 2) + + v = map(x->sin(x[1]^2+x[2]^2), g2) +end; + +# ╔═╡ 8cd052d9-f40e-4796-aeef-52c02b3bf156 +Dx+Dy |> repl_show + +# ╔═╡ 1b1b7d12-50ef-4c4e-9376-a353a56540c3 +Dx∘Dy |> repl_show + +# ╔═╡ 57e48b4c-eef6-433e-98a1-1006e844b368 +Dx*v |> repl_show + +# ╔═╡ e2bf2649-4770-4f52-9752-b61ce03c6f82 +(Dx+Dy)*v |> repl_show + +# ╔═╡ d163d363-853d-4d83-a2d3-f8dd6e8f552d +(Dx∘Dy)*v |> repl_show + +# ╔═╡ 1c38d3f9-1839-468c-a368-4ef101bd4f18 +laplace(g2, stencil_set2) |> repl_show + +# ╔═╡ cf84cefb-2dbd-4b8d-880b-47cc350a7c43 +laplace(g2, stencil_set4) |> repl_show + +# ╔═╡ 67c73667-1f41-47b5-b59a-459787767f29 +# laplace(mg, stencil_set2) |> repl_show + +# ╔═╡ 4634c1a6-0520-4b0f-8d32-a1fdf2ebaea5 +md""" +## Appendix +""" + +# ╔═╡ 24788161-b29a-450a-bd35-f9c29e7ded9a +PlutoUI.TableOfContents() + +# ╔═╡ 00000000-0000-0000-0000-000000000001 +PLUTO_PROJECT_TOML_CONTENTS = """ +[deps] +Diffinitive = "5a373a26-915f-4769-bcab-bf03835de17b" +PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" +StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" + +[compat] +Diffinitive = "~0.1.5" +PlutoUI = "~0.7.71" +StaticArrays = "~1.9.16" +""" + +# ╔═╡ 00000000-0000-0000-0000-000000000002 +PLUTO_MANIFEST_TOML_CONTENTS = """ +# This file is machine-generated - editing it directly is not advised + +julia_version = "1.12.4" +manifest_format = "2.0" +project_hash = "8ad3b11d3caefa740741684109dab3915258eb55" + +[[deps.AbstractPlutoDingetjes]] +deps = ["Pkg"] +git-tree-sha1 = "6e1d2a35f2f90a4bc7c2ed98079b2ba09c35b83a" +uuid = "6e696c72-6542-2067-7265-42206c756150" +version = "1.3.2" + +[[deps.ArgTools]] +uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" +version = "1.1.2" + +[[deps.Artifacts]] +uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" +version = "1.11.0" + +[[deps.Base64]] +uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" +version = "1.11.0" + +[[deps.ColorTypes]] +deps = ["FixedPointNumbers", "Random"] +git-tree-sha1 = "67e11ee83a43eb71ddc950302c53bf33f0690dfe" +uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f" +version = "0.12.1" +weakdeps = ["StyledStrings"] + + [deps.ColorTypes.extensions] + StyledStringsExt = "StyledStrings" + +[[deps.CompilerSupportLibraries_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" +version = "1.3.0+1" + +[[deps.Dates]] +deps = ["Printf"] +uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" +version = "1.11.0" + +[[deps.Diffinitive]] +deps = ["LinearAlgebra", "StaticArrays", "TOML"] +git-tree-sha1 = "064ed50f32f0fb073406c2db1f391faeb1f2357c" +uuid = "5a373a26-915f-4769-bcab-bf03835de17b" +version = "0.1.5" + + [deps.Diffinitive.extensions] + DiffinitiveMakieExt = "Makie" + DiffinitivePlotsExt = "Plots" + DiffinitiveSparseArrayKitExt = ["SparseArrayKit", "Tokens"] + DiffinitiveSparseArraysExt = ["SparseArrays", "Tokens"] + + [deps.Diffinitive.weakdeps] + Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a" + Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" + SparseArrayKit = "a9a3c162-d163-4c15-8926-b8794fbefed2" + SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" + Tokens = "040c2ec2-8d69-4aca-bf03-7d3a7092f2f6" + +[[deps.Downloads]] +deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"] +uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6" +version = "1.7.0" + +[[deps.FileWatching]] +uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee" +version = "1.11.0" + +[[deps.FixedPointNumbers]] +deps = ["Statistics"] +git-tree-sha1 = "05882d6995ae5c12bb5f36dd2ed3f61c98cbb172" +uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93" +version = "0.8.5" + +[[deps.Hyperscript]] +deps = ["Test"] +git-tree-sha1 = "179267cfa5e712760cd43dcae385d7ea90cc25a4" +uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91" +version = "0.0.5" + +[[deps.HypertextLiteral]] +deps = ["Tricks"] +git-tree-sha1 = "7134810b1afce04bbc1045ca1985fbe81ce17653" +uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2" +version = "0.9.5" + +[[deps.IOCapture]] +deps = ["Logging", "Random"] +git-tree-sha1 = "b6d6bfdd7ce25b0f9b2f6b3dd56b2673a66c8770" +uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89" +version = "0.2.5" + +[[deps.InteractiveUtils]] +deps = ["Markdown"] +uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240" +version = "1.11.0" + +[[deps.JSON]] +deps = ["Dates", "Mmap", "Parsers", "Unicode"] +git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a" +uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" +version = "0.21.4" + +[[deps.JuliaSyntaxHighlighting]] +deps = ["StyledStrings"] +uuid = "ac6e5ff7-fb65-4e79-a425-ec3bc9c03011" +version = "1.12.0" + +[[deps.LibCURL]] +deps = ["LibCURL_jll", "MozillaCACerts_jll"] +uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21" +version = "0.6.4" + +[[deps.LibCURL_jll]] +deps = ["Artifacts", "LibSSH2_jll", "Libdl", "OpenSSL_jll", "Zlib_jll", "nghttp2_jll"] +uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0" +version = "8.15.0+0" + +[[deps.LibGit2]] +deps = ["LibGit2_jll", "NetworkOptions", "Printf", "SHA"] +uuid = "76f85450-5226-5b5a-8eaa-529ad045b433" +version = "1.11.0" + +[[deps.LibGit2_jll]] +deps = ["Artifacts", "LibSSH2_jll", "Libdl", "OpenSSL_jll"] +uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5" +version = "1.9.0+0" + +[[deps.LibSSH2_jll]] +deps = ["Artifacts", "Libdl", "OpenSSL_jll"] +uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8" +version = "1.11.3+1" + +[[deps.Libdl]] +uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb" +version = "1.11.0" + +[[deps.LinearAlgebra]] +deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"] +uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" +version = "1.12.0" + +[[deps.Logging]] +uuid = "56ddb016-857b-54e1-b83d-db4d58db5568" +version = "1.11.0" + +[[deps.MIMEs]] +git-tree-sha1 = "c64d943587f7187e751162b3b84445bbbd79f691" +uuid = "6c6e2e6c-3030-632d-7369-2d6c69616d65" +version = "1.1.0" + +[[deps.Markdown]] +deps = ["Base64", "JuliaSyntaxHighlighting", "StyledStrings"] +uuid = "d6f4376e-aef5-505a-96c1-9c027394607a" +version = "1.11.0" + +[[deps.Mmap]] +uuid = "a63ad114-7e13-5084-954f-fe012c677804" +version = "1.11.0" + +[[deps.MozillaCACerts_jll]] +uuid = "14a3606d-f60d-562e-9121-12d972cd8159" +version = "2025.11.4" + +[[deps.NetworkOptions]] +uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908" +version = "1.3.0" + +[[deps.OpenBLAS_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"] +uuid = "4536629a-c528-5b80-bd46-f80d51c5b363" +version = "0.3.29+0" + +[[deps.OpenSSL_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95" +version = "3.5.4+0" + +[[deps.Parsers]] +deps = ["Dates", "PrecompileTools", "UUIDs"] +git-tree-sha1 = "7d2f8f21da5db6a806faf7b9b292296da42b2810" +uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0" +version = "2.8.3" + +[[deps.Pkg]] +deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "Random", "SHA", "TOML", "Tar", "UUIDs", "p7zip_jll"] +uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" +version = "1.12.1" + + [deps.Pkg.extensions] + REPLExt = "REPL" + + [deps.Pkg.weakdeps] + REPL = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb" + +[[deps.PlutoUI]] +deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "Downloads", "FixedPointNumbers", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "MIMEs", "Markdown", "Random", "Reexport", "URIs", "UUIDs"] +git-tree-sha1 = "8329a3a4f75e178c11c1ce2342778bcbbbfa7e3c" +uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8" +version = "0.7.71" + +[[deps.PrecompileTools]] +deps = ["Preferences"] +git-tree-sha1 = "07a921781cab75691315adc645096ed5e370cb77" +uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a" +version = "1.3.3" + +[[deps.Preferences]] +deps = ["TOML"] +git-tree-sha1 = "522f093a29b31a93e34eaea17ba055d850edea28" +uuid = "21216c6a-2e73-6563-6e65-726566657250" +version = "1.5.1" + +[[deps.Printf]] +deps = ["Unicode"] +uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" +version = "1.11.0" + +[[deps.Random]] +deps = ["SHA"] +uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" +version = "1.11.0" + +[[deps.Reexport]] +git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b" +uuid = "189a3867-3050-52da-a836-e630ba90ab69" +version = "1.2.2" + +[[deps.SHA]] +uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce" +version = "0.7.0" + +[[deps.Serialization]] +uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" +version = "1.11.0" + +[[deps.StaticArrays]] +deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"] +git-tree-sha1 = "eee1b9ad8b29ef0d936e3ec9838c7ec089620308" +uuid = "90137ffa-7385-5640-81b9-e52037218182" +version = "1.9.16" + + [deps.StaticArrays.extensions] + StaticArraysChainRulesCoreExt = "ChainRulesCore" + StaticArraysStatisticsExt = "Statistics" + + [deps.StaticArrays.weakdeps] + ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" + Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" + +[[deps.StaticArraysCore]] +git-tree-sha1 = "6ab403037779dae8c514bad259f32a447262455a" +uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c" +version = "1.4.4" + +[[deps.Statistics]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "ae3bb1eb3bba077cd276bc5cfc337cc65c3075c0" +uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" +version = "1.11.1" + + [deps.Statistics.extensions] + SparseArraysExt = ["SparseArrays"] + + [deps.Statistics.weakdeps] + SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" + +[[deps.StyledStrings]] +uuid = "f489334b-da3d-4c2e-b8f0-e476e12c162b" +version = "1.11.0" + +[[deps.TOML]] +deps = ["Dates"] +uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76" +version = "1.0.3" + +[[deps.Tar]] +deps = ["ArgTools", "SHA"] +uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e" +version = "1.10.0" + +[[deps.Test]] +deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] +uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" +version = "1.11.0" + +[[deps.Tricks]] +git-tree-sha1 = "311349fd1c93a31f783f977a71e8b062a57d4101" +uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775" +version = "0.1.13" + +[[deps.URIs]] +git-tree-sha1 = "bef26fb046d031353ef97a82e3fdb6afe7f21b1a" +uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4" +version = "1.6.1" + +[[deps.UUIDs]] +deps = ["Random", "SHA"] +uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4" +version = "1.11.0" + +[[deps.Unicode]] +uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" +version = "1.11.0" + +[[deps.Zlib_jll]] +deps = ["Libdl"] +uuid = "83775a58-1f1d-513f-b197-d71354ab007a" +version = "1.3.1+2" + +[[deps.libblastrampoline_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" +version = "5.15.0+0" + +[[deps.nghttp2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" +version = "1.64.0+1" + +[[deps.p7zip_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"] +uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" +version = "17.7.0+0" +""" + +# ╔═╡ Cell order: +# ╟─885c60d7-d33c-4741-ae49-6a57510ec7b5 +# ╠═9ee3372a-e78d-4f74-84ce-e04208d1558d +# ╟─51c02ced-f684-417f-83f1-cade4edda43f +# ╠═25c90528-22cd-41ca-8572-ccd946928318 +# ╠═e7f3e466-9833-428c-99ad-20bc9d88d951 +# ╠═2e74f9b5-5b4f-4887-8a30-4655d560a45c +# ╠═365524b5-3182-4691-9817-1bbec1492c14 +# ╠═d5725e1b-bc4f-4a95-975d-179c193908c9 +# ╠═b824ef8d-5026-4861-9a23-45a7939fd38c +# ╠═fbe365a2-f95e-4297-8326-c18d22932869 +# ╠═56670aff-0343-41cb-a653-35a61376dda4 +# ╠═b5a6491e-a93e-4058-8ceb-be1dc4d4c100 +# ╠═828d57a1-ee58-4204-8050-78127821a4c6 +# ╠═127d34f6-69f7-4082-a74b-0be86942f153 +# ╠═c46a278e-a102-4544-82d8-7df816440410 +# ╟─5aa7079c-8005-47f1-bb82-c35f3aa54b42 +# ╠═08f493ed-189c-43f3-86f2-95fc475ec0e7 +# ╟─f7244bf7-8266-469f-b07f-30c203d9af48 +# ╠═0e14bd28-5dd1-44c4-abf4-23b70546bd49 +# ╠═fcb74341-6b03-4ada-8f5d-bc245c23679b +# ╠═8dec053b-eaae-463d-800b-b8d89d5d550b +# ╠═c1172a36-c5d7-47dc-bc79-af0d43a8f6ee +# ╟─9c889176-865b-402d-81b5-71957d2878f7 +# ╠═85e8e748-e575-4a29-80c7-22d110578343 +# ╠═804ad722-9081-4d1d-b0d2-c536a26fe20d +# ╟─a70c689d-0851-497f-938a-e5c92ce59ddb +# ╠═2afde3fe-96ed-4d7e-a79b-fc880e0da268 +# ╠═5451a071-14ae-47ae-99c5-4d65508d280f +# ╠═b6b06fe9-de16-41ca-ad45-eef6dd038485 +# ╠═d1c8c3a0-76ec-4c32-853e-0471d71e5cf0 +# ╠═6051c144-9982-4bd9-92f9-d0aaf3961872 +# ╠═12a9f430-f96b-43f2-bf63-149b5a028fd7 +# ╠═e44f8d91-1cbf-44be-bef1-40e60c4a777f +# ╠═c378b88a-1d74-44a2-bdc1-b371da478de8 +# ╠═9614cda7-b48c-4925-89b5-113cf514f20f +# ╠═725e9430-4821-4939-bfef-6c186d2dc500 +# ╠═e8ca54a1-a6db-40a1-b44a-73e175894df4 +# ╠═5d1f10fe-f620-469c-822c-55955a5541ad +# ╠═fdc531d4-9d27-41dc-ba79-6febefde223a +# ╠═fff2e04a-357f-4254-996e-d5ccd9ff31f8 +# ╠═959b071e-1ef6-4f29-aa8b-d88bfef80c00 +# ╠═0a0f7e77-a789-4fb3-a4c2-7853b67788ec +# ╠═177e0893-fbb1-4bb5-a108-e5990e943ab7 +# ╠═f1b6bd54-baf6-4360-aec0-bd8d52497894 +# ╠═a8f8343e-cd6f-451d-a2b3-e5f0f561f8af +# ╠═50291998-7194-4a0d-9c19-eacc48b3f5da +# ╠═1720af08-85e4-4502-b37e-9fa73008e221 +# ╠═4a72f217-2423-4bc1-8452-eb28dde36689 +# ╠═48a28ade-73bb-461d-ab96-82f92ed199c8 +# ╠═3c681a63-94a6-4677-aef7-df903c463896 +# ╠═db735370-153a-40f9-b77f-9f60e30a35c4 +# ╠═613ebac7-50bc-424c-8fa2-064b64c93319 +# ╠═9e7d7667-960e-491f-8b83-e3b01a0db5b0 +# ╠═c3005e74-5b96-4b0c-9c57-b7d02968ed94 +# ╠═fd019973-0d54-4e31-b43b-f53a704cb01c +# ╠═df2e8af0-9ca5-4972-8771-f8bea1591f85 +# ╠═8e538109-16a1-4af7-a986-9dc1455b7de7 +# ╠═5f3744a4-72d8-4448-820f-a928bfaaf825 +# ╠═4529b5c4-4905-4fd3-9aaa-5f88faa841c8 +# ╠═c3bb0450-a7d5-44c1-9ca9-9e1ecf2db9f8 +# ╠═da63e57a-0794-4cd8-9941-ada0e5c1c40e +# ╟─0b951425-979c-4ac9-8581-f690b729bab4 +# ╠═a39bb6e2-f1fe-4206-8ee3-88ff0c075233 +# ╠═8cd052d9-f40e-4796-aeef-52c02b3bf156 +# ╠═1b1b7d12-50ef-4c4e-9376-a353a56540c3 +# ╠═57e48b4c-eef6-433e-98a1-1006e844b368 +# ╠═e2bf2649-4770-4f52-9752-b61ce03c6f82 +# ╠═d163d363-853d-4d83-a2d3-f8dd6e8f552d +# ╠═1c38d3f9-1839-468c-a368-4ef101bd4f18 +# ╠═cf84cefb-2dbd-4b8d-880b-47cc350a7c43 +# ╠═67c73667-1f41-47b5-b59a-459787767f29 +# ╟─4634c1a6-0520-4b0f-8d32-a1fdf2ebaea5 +# ╠═1f8a7cfa-94cc-41bf-a8c8-2dc5218741e0 +# ╠═24788161-b29a-450a-bd35-f9c29e7ded9a +# ╟─00000000-0000-0000-0000-000000000001 +# ╟─00000000-0000-0000-0000-000000000002
