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| ### A Pluto.jl notebook ### | |
| # v0.19.30 | |
| using Markdown | |
| using InteractiveUtils | |
| # ╔═╡ 36aea450-7dbd-11ee-0fcd-bdcc7a5238c6 | |
| begin | |
| using Plots | |
| using Parameters | |
| using Optim | |
| using StatsBase | |
| using LinearAlgebra | |
| using QuadGK | |
| using Statistics | |
| using AlgebraPDF | |
| using DataFrames | |
| # | |
| using Random | |
| Random.seed!(100) | |
| end | |
| # ╔═╡ a709e626-d054-4bd4-a721-b041346a74db | |
| md""" | |
| # AlgebraPDF tutorial | |
| """ | |
| # ╔═╡ ee7f8880-265e-4997-a990-77accea0f88c | |
| theme(:wong, frame=:box, lab="", | |
| xlim=(:auto,:auto), ylim=(0,:auto), grid=false) | |
| # ╔═╡ dada7def-623e-4115-8f31-432f650bf114 | |
| md""" | |
| ## Gaussian | |
| """ | |
| # ╔═╡ 841a2ff0-99e1-4170-8d6e-fae2dc9ce5d8 | |
| gaussian = FGauss((μ=1.1, σ=0.9)) | |
| # ╔═╡ 44b94e42-fe56-4f57-a6a8-1e533d220d3c | |
| plot(gaussian, -4, 7, fill=0, α=0.2) | |
| # ╔═╡ ced07524-6c48-4497-8faf-9d87e94a7f74 | |
| nGaussian = Normalized(gaussian, (-4, 7)) | |
| # ╔═╡ 633e66c5-4711-41d1-af6f-e51021206bfb | |
| plot(nGaussian, fill=0, α=0.2) | |
| # ╔═╡ be1b9e97-21fa-4760-a671-014f8183cc70 | |
| md""" | |
| ## Exponent | |
| """ | |
| # ╔═╡ e09ce10e-8dc4-4407-83cb-bbcb36fe1e73 | |
| background = FExp((; α=-0.2)) | |
| # ╔═╡ 904d9368-3d6b-487a-8b3e-60957275baf3 | |
| nExponent = background |> Normalized((-4, 7)) | |
| # ╔═╡ d6f0c16d-da1b-4dbd-a096-1d71537c11f7 | |
| plot(nExponent) | |
| # ╔═╡ e936e0b8-57df-4324-a5dc-f65689ddcf50 | |
| md""" | |
| ## Sum | |
| """ | |
| # ╔═╡ fd7ffa72-03e9-4c5b-831e-c80ee0559a28 | |
| model = FSum([nExponent, nGaussian], (N1=0.85, N2=0.15)) | |
| # ╔═╡ 83ca611f-b139-447d-8acd-104e4379c9e5 | |
| begin | |
| plot(model) | |
| plot!(model[1], ls=:dash, lab="background") | |
| plot!(model[2], fill=0, lab="signal") | |
| end | |
| # ╔═╡ a58591a2-097a-442f-b964-1c9fd5267c5b | |
| md""" | |
| ## Parameters | |
| """ | |
| # ╔═╡ 0fab4150-3bfa-41cc-8339-55a2155b5a2f | |
| model # let's explore | |
| # ╔═╡ 45485033-0790-49eb-9528-fca73c32580c | |
| md""" | |
| Here are the default values of the parameters | |
| """ | |
| # ╔═╡ dcf0cd15-3ca7-4fed-adf3-de77742f4e20 | |
| pars(model) | |
| # ╔═╡ 4c518b6f-19e8-4dab-bde3-1f8f1fe8cd89 | |
| model(0.0) | |
| # ╔═╡ e108cd70-9d41-478a-9e76-ede8c73a6fec | |
| md""" | |
| when array is passed, the function is broadcasted | |
| """ | |
| # ╔═╡ 32721ef9-f6c0-46f2-9fac-5d3ccfce08a4 | |
| model(-1.8:0.9:1) | |
| # ╔═╡ ab1de60c-08aa-43b7-82c1-e1f0b670a9ab | |
| md""" | |
| One can call it parameters | |
| """ | |
| # ╔═╡ 436f6744-6387-4ffe-9d88-1a3f7d54d16e | |
| model(0.0; p=(; α = -0.2, μ = 1.1, σ = 0.9, N1 = 0.85, N2 = 0.15)) | |
| # ╔═╡ 1af5e803-1686-4d87-9799-83f270584e07 | |
| md""" | |
| The parameters can be adjusted | |
| """ | |
| # ╔═╡ 307b6775-edf6-407c-b23b-a8601d6f73e8 | |
| model(0.0; p=(; α = -0.5, μ = 1.1, σ = 0.9, N1 = 0.85, N2 = 0.15)) | |
| # ╔═╡ ce0f7a9b-172e-48a1-ad05-77531b3973a9 | |
| md""" | |
| The model is immutable, but we can create a new model with different parameters | |
| """ | |
| # ╔═╡ 9e1f59fe-105e-4504-98ea-417cc4bdebea | |
| begin | |
| plot() | |
| plot!(model, lab="default") | |
| plot!(updatepar(model, :μ, 1.4), lab="updated") | |
| plot!(updatepars(model, (μ=1.4, N1=0.5)), lab="much updated") | |
| end | |
| # ╔═╡ 9a6fd3bc-b2e9-4802-bda7-4bb5fa2f32a8 | |
| md""" | |
| ## Sampling | |
| """ | |
| # ╔═╡ 9e456f32-4788-4ff0-8c58-e9ab2c1d63b9 | |
| md""" | |
| Sampling is implemented by numerical Inversion Method | |
| """ | |
| # ╔═╡ 82e99b01-bb56-4136-9bc7-2b4514c4c178 | |
| @time data = AlgebraPDF.rand(model, 10_000) | |
| # ╔═╡ 2c77bb27-9075-4636-bab7-0adaf162659c | |
| stephist(data, bins=100) | |
| # ╔═╡ fa5b5213-6a5b-42e7-b101-e682cf1d3456 | |
| md""" | |
| The grid size can be ajusted with the `generate` method | |
| """ | |
| # ╔═╡ 9cae7ff0-f166-470f-8d65-b9a8d4268b55 | |
| let Nsamples = 100_000 | |
| df = DataFrame(Nbins = [10, 100, 1000]) | |
| df.sampling_time = map(df.Nbins) do Nbins | |
| @elapsed generate(model, Nsamples; Nbins) | |
| end | |
| df | |
| end | |
| # ╔═╡ d05224a2-83fe-44dd-bb89-105e83284a4f | |
| ρ = AlgebraPDF.getbinned1dDensity(x->model(x), lims(model), 10) | |
| # ╔═╡ d2b460f8-9463-4397-b550-6122c51c59a7 | |
| plot(ρ.grid, ρ.cumarr, m=(4, :o)) | |
| # ╔═╡ ea094a58-2a2e-45be-8bac-de42f73febdb | |
| rand(ρ) | |
| # ╔═╡ c3be4046-9e17-4833-afbd-b66045b47539 | |
| stephist([rand(ρ) for _ in 1:100_000], bins=100) | |
| # ╔═╡ fc2a3a4a-011f-478b-8577-4e0700261dbd | |
| md""" | |
| ## Likelihood | |
| """ | |
| # ╔═╡ 4a927440-5ee3-4c56-a078-5716703fb423 | |
| nll = NegativeLogLikelihood(model, data) | |
| # ╔═╡ 5554751d-75cf-4c6d-945c-fd39d03de77f | |
| ext = Extended(nll) | |
| # ╔═╡ cb8b3778-9784-4a77-ae40-226cbeb04c82 | |
| md""" | |
| The size of the data 10_000. Also, it is normalized | |
| """ | |
| # ╔═╡ 8fdd20cf-8317-4ab7-b9ac-2d5a658cca73 | |
| @time nll(()) | |
| # ╔═╡ c6b29139-1d51-4a93-8cad-9cbc13d7418f | |
| md""" | |
| The negative log likelihood does not depend on x, only depend on parameters | |
| """ | |
| # ╔═╡ 962a9750-74ed-4255-841e-4e56b2a4c1f7 | |
| nll(1.0), nll(0.0), nll(()) | |
| # ╔═╡ 67d4c3c3-d891-47ac-a58d-9f8c157203fd | |
| starting_values = let | |
| Nd = length(data) | |
| default_values = pars(ext) | |
| @unpack N1, N2 = default_values | |
| Nsum = N1+N2 | |
| # | |
| default_values + (N1 = N1/Nsum*Nd, N2 = N2/Nsum*Nd) | |
| end | |
| # ╔═╡ 8a604042-9169-4252-88b8-70b149fef763 | |
| ext(1.1, collect(starting_values)+[0,0,0,0,0]) | |
| # ╔═╡ 459c2591-0514-4dce-a2dc-2bffc5fbfb22 | |
| @time fit = let | |
| initial_invH = Diagonal([0.001,0.01,0.01,100,100]) .+ eps() | |
| optimize(x->ext(1.1, x), starting_values |> collect, | |
| BFGS(; initial_invH = x -> initial_invH,)) | |
| end | |
| # ╔═╡ fe18d294-7f5e-4a26-90e0-afc510201b0e | |
| best_model = updatepars(model, NamedTuple{keys(pars(model))}(fit.minimizer)) | |
| # ╔═╡ 986bf296-7bf3-4e05-9926-49176a05eb98 | |
| let | |
| bins = range(lims(model)..., 100) | |
| Nd = length(data) | |
| # | |
| stephist(data; bins) | |
| plot!(model, scaletobinneddata(Nd, bins), lab="original") | |
| plot!(best_model, scaletobinneddata(bins), lab="fit") | |
| # | |
| plot!(best_model[2], scaletobinneddata(bins), fill=0, lab="signal") | |
| plot!(best_model[1], scaletobinneddata(bins), ls=:dash, lab="background") | |
| end | |
| # ╔═╡ a0d5f80c-3f27-4089-8c89-d7090e76aa33 | |
| md""" | |
| ## Internals | |
| """ | |
| # ╔═╡ 3e29bc29-78d3-47f0-aa14-558346861dc7 | |
| (a = 1.1, b = 2.2) + (c = 3.3, d = 4.4) | |
| # ╔═╡ 1c2a8c07-d0b5-484c-88a8-4da27001cd87 | |
| (a = 1.1, b = 2.2) + (; b=3.3) | |
| # ╔═╡ fc1562c6-1196-4aa9-951a-fab6663b9a02 | |
| (a = 1.1, b = 2.2) - :b | |
| # ╔═╡ e749e05d-0802-4209-b018-e357a5d1b181 | |
| md""" | |
| ## Fixed and free parameters | |
| Algebra of named Tuples | |
| """ | |
| # ╔═╡ cb6b94c6-8329-4d30-8037-610d6d552c8d | |
| pf = Ext((a = 1.1, b = 2.2)) | |
| # ╔═╡ d25dd37f-4eb0-482c-85fb-628b922eacd3 | |
| updated_fp = AlgebraPDF.updatevalueorflag(pf, :a, false) | |
| # ╔═╡ 4be83319-0835-4367-a85c-44bbb87ea0af | |
| freepars(updated_fp) | |
| # ╔═╡ 4f0a1598-e0c9-49db-933b-fcfcb2d6bf99 | |
| fixedpars(updated_fp) | |
| # ╔═╡ cdbb9e76-6c72-4bcb-87e9-dc449b2c51aa | |
| md""" | |
| ## Superpower of arbitrary density | |
| """ | |
| # ╔═╡ e5164aa5-d574-4b00-92f2-73a827c3fe24 | |
| function scatt_length_approximation(k; p) | |
| @unpack inva, r = p | |
| 1/(inva - k^2*r - 1im*k) | |
| end | |
| # ╔═╡ b6f3285e-e919-4ffd-84e6-7eddf3d07421 | |
| amplitude = FunctionWithParameters( | |
| scatt_length_approximation, | |
| Ext(inva=1/2, r = 0.5)) |> fixpar(:inva) | |
| # ╔═╡ ffaf0ac4-50c1-442d-a4af-b85f3bb72510 | |
| phsp = FunctionWithParameters((k;p)->k, ∅) | |
| # ╔═╡ 0a474980-46dc-4760-94c4-ed89ebad5988 | |
| d = abs2(amplitude) * phsp * Ext(N = 1.0, ) | |
| # ╔═╡ 96496336-892d-4b62-a0fe-8544b8d2188a | |
| plot(d, 0, 2, xlab="k [1/fm]", lab="scatt.len.approx") | |
| # ╔═╡ bf1ceeb8-f70a-4fe2-9c5d-c755691f72c2 | |
| freepars(d) | |
| # ╔═╡ 692e7623-bb8a-4c44-af31-dbddc7cad4d5 | |
| fixedpars(d) | |
| # ╔═╡ 2f5043f1-a9b6-40f7-9ed0-fadeea648af8 | |
| pars(d) | |
| # ╔═╡ 45fd2614-94b9-4a4f-9083-b0da7e3e1296 | |
| d(1.0) | |
| # ╔═╡ b66c685a-a3e3-46ce-bce8-88c32ca8aa5c | |
| d(1.0; p=(r=0.5, N=1)) | |
| # ╔═╡ 712f91f4-8d62-437f-b60f-0698e49d2eca | |
| d(1.0; p=(r=0.9, N=1)) | |
| # ╔═╡ 066a8b25-2aab-4cb9-b138-e6928af4a24e | |
| scattdata = append!( | |
| Histogram(range(0, 2, 100)), | |
| rand(Normalized(d, (0, 2)), 10_000)) | |
| # ╔═╡ a9852aed-c5cb-40f6-b4a3-92df83ba4fc4 | |
| plot(scattdata, seriestype=:step) | |
| # ╔═╡ 6109b907-a325-4918-843f-1904d24e7e7b | |
| md""" | |
| ## Chi2 fitting | |
| """ | |
| # ╔═╡ 0fea891e-a043-4e78-b3b9-88f647e99ac2 | |
| χ² = let | |
| centers = collect((scattdata.edges[1][1:end-1] .+ scattdata.edges[1][2:end]) / 2) | |
| y = scattdata.weights .+ 0.0 | |
| δy = sqrt.(scattdata.weights) | |
| ChiSq(d, centers, y, δy) | |
| end | |
| # ╔═╡ 713ffe5c-0058-46aa-ab32-6db91195bbdf | |
| freepars(χ²) | |
| # ╔═╡ 3da508cf-b4a1-4be3-b1ae-0874c64b1bae | |
| χ²((), [2.2,1.0]) | |
| # ╔═╡ dc33f1cc-d0ad-4bef-8232-46c2ad75d9a1 | |
| best_approx = let | |
| opt = optimize(x->χ²((),x), [0.5, 10]) | |
| updatepars(d, NamedTuple{keys(freepars(χ²))}(opt.minimizer)) | |
| end | |
| # ╔═╡ 9ea23031-3c46-4fe0-824f-2f14ee576cac | |
| freepars(best_approx) | |
| # ╔═╡ c37a2113-b7e2-4d15-8f4c-60338a43928a | |
| begin | |
| plot(scattdata, seriestype=:step) | |
| plot!(best_approx, 0, 2, lab="r_fit = $(round(freepars(best_approx).r; digits=2))") | |
| end | |
| # ╔═╡ 2e2bd91a-4404-458f-8ca0-a4ef0f3939d0 | |
| md""" | |
| ## Type Stability | |
| ## Autodiff | |
| ## Higher dimension | |
| """ | |
| # ╔═╡ 00000000-0000-0000-0000-000000000001 | |
| PLUTO_PROJECT_TOML_CONTENTS = """ | |
| [deps] | |
| AlgebraPDF = "e09e93a3-870c-4c75-9b71-3eefe58c6e5b" | |
| DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" | |
| LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" | |
| Optim = "429524aa-4258-5aef-a3af-852621145aeb" | |
| Parameters = "d96e819e-fc66-5662-9728-84c9c7592b0a" | |
| Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" | |
| QuadGK = "1fd47b50-473d-5c70-9696-f719f8f3bcdc" | |
| Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" | |
| Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" | |
| StatsBase = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91" | |
| [compat] | |
| AlgebraPDF = "~0.4.0" | |
| DataFrames = "~1.6.1" | |
| Optim = "~1.7.8" | |
| Parameters = "~0.12.3" | |
| Plots = "~1.39.0" | |
| QuadGK = "~2.9.1" | |
| StatsBase = "~0.34.2" | |
| """ | |
| # ╔═╡ 00000000-0000-0000-0000-000000000002 | |
| PLUTO_MANIFEST_TOML_CONTENTS = """ | |
| # This file is machine-generated - editing it directly is not advised | |
| julia_version = "1.9.3" | |
| manifest_format = "2.0" | |
| project_hash = "b66e83db9146853fd36a777e32aa6180fbef164a" | |
| [[deps.Adapt]] | |
| deps = ["LinearAlgebra", "Requires"] | |
| git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24" | |
| uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e" | |
| version = "3.6.2" | |
| weakdeps = ["StaticArrays"] | |
| [deps.Adapt.extensions] | |
| AdaptStaticArraysExt = "StaticArrays" | |
| [[deps.AlgebraPDF]] | |
| deps = ["Interpolations", "LinearAlgebra", "Measurements", "Parameters", "QuadGK", "Random", "RecipesBase", "SpecialFunctions", "StaticArrays"] | |
| git-tree-sha1 = "30f8a928aaa9a1593780a228a7cd7407df8ffa50" | |
| uuid = "e09e93a3-870c-4c75-9b71-3eefe58c6e5b" | |
| version = "0.4.0" | |
| [[deps.ArgTools]] | |
| uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" | |
| version = "1.1.1" | |
| [[deps.ArrayInterface]] | |
| deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"] | |
| git-tree-sha1 = "f83ec24f76d4c8f525099b2ac475fc098138ec31" | |
| uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9" | |
| version = "7.4.11" | |
| [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.Artifacts]] | |
| uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" | |
| [[deps.AxisAlgorithms]] | |
| deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"] | |
| git-tree-sha1 = "66771c8d21c8ff5e3a93379480a2307ac36863f7" | |
| uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950" | |
| version = "1.0.1" | |
| [[deps.Base64]] | |
| uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" | |
| [[deps.BitFlags]] | |
| git-tree-sha1 = "43b1a4a8f797c1cddadf60499a8a077d4af2cd2d" | |
| uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35" | |
| version = "0.1.7" | |
| [[deps.Bzip2_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2" | |
| uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0" | |
| version = "1.0.8+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" | |
| uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a" | |
| version = "1.16.1+1" | |
| [[deps.Calculus]] | |
| deps = ["LinearAlgebra"] | |
| git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad" | |
| uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9" | |
| version = "0.5.1" | |
| [[deps.ChainRulesCore]] | |
| deps = ["Compat", "LinearAlgebra"] | |
| git-tree-sha1 = "e0af648f0692ec1691b5d094b8724ba1346281cf" | |
| uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" | |
| version = "1.18.0" | |
| weakdeps = ["SparseArrays"] | |
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| [[deps.Xorg_xcb_util_wm_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"] | |
| git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67" | |
| uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361" | |
| version = "0.4.1+1" | |
| [[deps.Xorg_xkbcomp_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxkbfile_jll"] | |
| git-tree-sha1 = "330f955bc41bb8f5270a369c473fc4a5a4e4d3cb" | |
| uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4" | |
| version = "1.4.6+0" | |
| [[deps.Xorg_xkeyboard_config_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xkbcomp_jll"] | |
| git-tree-sha1 = "691634e5453ad362044e2ad653e79f3ee3bb98c3" | |
| uuid = "33bec58e-1273-512f-9401-5d533626f822" | |
| version = "2.39.0+0" | |
| [[deps.Xorg_xtrans_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl"] | |
| git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77" | |
| uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" | |
| version = "1.5.0+0" | |
| [[deps.Zlib_jll]] | |
| deps = ["Libdl"] | |
| uuid = "83775a58-1f1d-513f-b197-d71354ab007a" | |
| version = "1.2.13+0" | |
| [[deps.Zstd_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl"] | |
| git-tree-sha1 = "49ce682769cd5de6c72dcf1b94ed7790cd08974c" | |
| uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" | |
| version = "1.5.5+0" | |
| [[deps.eudev_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "gperf_jll"] | |
| git-tree-sha1 = "431b678a28ebb559d224c0b6b6d01afce87c51ba" | |
| uuid = "35ca27e7-8b34-5b7f-bca9-bdc33f59eb06" | |
| version = "3.2.9+0" | |
| [[deps.fzf_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "47cf33e62e138b920039e8ff9f9841aafe1b733e" | |
| uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09" | |
| version = "0.35.1+0" | |
| [[deps.gperf_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "3516a5630f741c9eecb3720b1ec9d8edc3ecc033" | |
| uuid = "1a1c6b14-54f6-533d-8383-74cd7377aa70" | |
| version = "3.1.1+0" | |
| [[deps.libaom_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4" | |
| uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b" | |
| version = "3.4.0+0" | |
| [[deps.libass_jll]] | |
| deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] | |
| git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47" | |
| uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0" | |
| version = "0.15.1+0" | |
| [[deps.libblastrampoline_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" | |
| version = "5.8.0+0" | |
| [[deps.libevdev_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "141fe65dc3efabb0b1d5ba74e91f6ad26f84cc22" | |
| uuid = "2db6ffa8-e38f-5e21-84af-90c45d0032cc" | |
| version = "1.11.0+0" | |
| [[deps.libfdk_aac_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55" | |
| uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" | |
| version = "2.0.2+0" | |
| [[deps.libinput_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "eudev_jll", "libevdev_jll", "mtdev_jll"] | |
| git-tree-sha1 = "ad50e5b90f222cfe78aa3d5183a20a12de1322ce" | |
| uuid = "36db933b-70db-51c0-b978-0f229ee0e533" | |
| version = "1.18.0+0" | |
| [[deps.libpng_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] | |
| git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" | |
| uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" | |
| version = "1.6.38+0" | |
| [[deps.libvorbis_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] | |
| git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" | |
| uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" | |
| version = "1.3.7+1" | |
| [[deps.mtdev_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "814e154bdb7be91d78b6802843f76b6ece642f11" | |
| uuid = "009596ad-96f7-51b1-9f1b-5ce2d5e8a71e" | |
| version = "1.1.6+0" | |
| [[deps.nghttp2_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" | |
| version = "1.48.0+0" | |
| [[deps.p7zip_jll]] | |
| deps = ["Artifacts", "Libdl"] | |
| uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" | |
| version = "17.4.0+0" | |
| [[deps.x264_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2" | |
| uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" | |
| version = "2021.5.5+0" | |
| [[deps.x265_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
| git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9" | |
| uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" | |
| version = "3.5.0+0" | |
| [[deps.xkbcommon_jll]] | |
| deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"] | |
| git-tree-sha1 = "9c304562909ab2bab0262639bd4f444d7bc2be37" | |
| uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd" | |
| version = "1.4.1+1" | |
| """ | |
| # ╔═╡ Cell order: | |
| # ╟─a709e626-d054-4bd4-a721-b041346a74db | |
| # ╠═36aea450-7dbd-11ee-0fcd-bdcc7a5238c6 | |
| # ╠═ee7f8880-265e-4997-a990-77accea0f88c | |
| # ╟─dada7def-623e-4115-8f31-432f650bf114 | |
| # ╠═841a2ff0-99e1-4170-8d6e-fae2dc9ce5d8 | |
| # ╠═44b94e42-fe56-4f57-a6a8-1e533d220d3c | |
| # ╠═ced07524-6c48-4497-8faf-9d87e94a7f74 | |
| # ╠═633e66c5-4711-41d1-af6f-e51021206bfb | |
| # ╟─be1b9e97-21fa-4760-a671-014f8183cc70 | |
| # ╠═e09ce10e-8dc4-4407-83cb-bbcb36fe1e73 | |
| # ╠═904d9368-3d6b-487a-8b3e-60957275baf3 | |
| # ╠═d6f0c16d-da1b-4dbd-a096-1d71537c11f7 | |
| # ╟─e936e0b8-57df-4324-a5dc-f65689ddcf50 | |
| # ╠═fd7ffa72-03e9-4c5b-831e-c80ee0559a28 | |
| # ╠═83ca611f-b139-447d-8acd-104e4379c9e5 | |
| # ╟─a58591a2-097a-442f-b964-1c9fd5267c5b | |
| # ╠═0fab4150-3bfa-41cc-8339-55a2155b5a2f | |
| # ╟─45485033-0790-49eb-9528-fca73c32580c | |
| # ╠═dcf0cd15-3ca7-4fed-adf3-de77742f4e20 | |
| # ╠═4c518b6f-19e8-4dab-bde3-1f8f1fe8cd89 | |
| # ╟─e108cd70-9d41-478a-9e76-ede8c73a6fec | |
| # ╠═32721ef9-f6c0-46f2-9fac-5d3ccfce08a4 | |
| # ╟─ab1de60c-08aa-43b7-82c1-e1f0b670a9ab | |
| # ╠═436f6744-6387-4ffe-9d88-1a3f7d54d16e | |
| # ╟─1af5e803-1686-4d87-9799-83f270584e07 | |
| # ╠═307b6775-edf6-407c-b23b-a8601d6f73e8 | |
| # ╟─ce0f7a9b-172e-48a1-ad05-77531b3973a9 | |
| # ╠═9e1f59fe-105e-4504-98ea-417cc4bdebea | |
| # ╟─9a6fd3bc-b2e9-4802-bda7-4bb5fa2f32a8 | |
| # ╟─9e456f32-4788-4ff0-8c58-e9ab2c1d63b9 | |
| # ╠═82e99b01-bb56-4136-9bc7-2b4514c4c178 | |
| # ╠═2c77bb27-9075-4636-bab7-0adaf162659c | |
| # ╟─fa5b5213-6a5b-42e7-b101-e682cf1d3456 | |
| # ╠═9cae7ff0-f166-470f-8d65-b9a8d4268b55 | |
| # ╠═d05224a2-83fe-44dd-bb89-105e83284a4f | |
| # ╠═d2b460f8-9463-4397-b550-6122c51c59a7 | |
| # ╠═ea094a58-2a2e-45be-8bac-de42f73febdb | |
| # ╠═c3be4046-9e17-4833-afbd-b66045b47539 | |
| # ╟─fc2a3a4a-011f-478b-8577-4e0700261dbd | |
| # ╠═4a927440-5ee3-4c56-a078-5716703fb423 | |
| # ╠═5554751d-75cf-4c6d-945c-fd39d03de77f | |
| # ╟─cb8b3778-9784-4a77-ae40-226cbeb04c82 | |
| # ╠═8fdd20cf-8317-4ab7-b9ac-2d5a658cca73 | |
| # ╟─c6b29139-1d51-4a93-8cad-9cbc13d7418f | |
| # ╠═962a9750-74ed-4255-841e-4e56b2a4c1f7 | |
| # ╠═8a604042-9169-4252-88b8-70b149fef763 | |
| # ╠═67d4c3c3-d891-47ac-a58d-9f8c157203fd | |
| # ╠═459c2591-0514-4dce-a2dc-2bffc5fbfb22 | |
| # ╠═fe18d294-7f5e-4a26-90e0-afc510201b0e | |
| # ╠═986bf296-7bf3-4e05-9926-49176a05eb98 | |
| # ╟─a0d5f80c-3f27-4089-8c89-d7090e76aa33 | |
| # ╠═3e29bc29-78d3-47f0-aa14-558346861dc7 | |
| # ╠═1c2a8c07-d0b5-484c-88a8-4da27001cd87 | |
| # ╠═fc1562c6-1196-4aa9-951a-fab6663b9a02 | |
| # ╟─e749e05d-0802-4209-b018-e357a5d1b181 | |
| # ╠═cb6b94c6-8329-4d30-8037-610d6d552c8d | |
| # ╠═d25dd37f-4eb0-482c-85fb-628b922eacd3 | |
| # ╠═4be83319-0835-4367-a85c-44bbb87ea0af | |
| # ╠═4f0a1598-e0c9-49db-933b-fcfcb2d6bf99 | |
| # ╟─cdbb9e76-6c72-4bcb-87e9-dc449b2c51aa | |
| # ╠═e5164aa5-d574-4b00-92f2-73a827c3fe24 | |
| # ╠═b6f3285e-e919-4ffd-84e6-7eddf3d07421 | |
| # ╠═ffaf0ac4-50c1-442d-a4af-b85f3bb72510 | |
| # ╠═0a474980-46dc-4760-94c4-ed89ebad5988 | |
| # ╠═96496336-892d-4b62-a0fe-8544b8d2188a | |
| # ╠═bf1ceeb8-f70a-4fe2-9c5d-c755691f72c2 | |
| # ╠═692e7623-bb8a-4c44-af31-dbddc7cad4d5 | |
| # ╠═2f5043f1-a9b6-40f7-9ed0-fadeea648af8 | |
| # ╠═45fd2614-94b9-4a4f-9083-b0da7e3e1296 | |
| # ╠═b66c685a-a3e3-46ce-bce8-88c32ca8aa5c | |
| # ╠═712f91f4-8d62-437f-b60f-0698e49d2eca | |
| # ╠═066a8b25-2aab-4cb9-b138-e6928af4a24e | |
| # ╠═a9852aed-c5cb-40f6-b4a3-92df83ba4fc4 | |
| # ╟─6109b907-a325-4918-843f-1904d24e7e7b | |
| # ╠═0fea891e-a043-4e78-b3b9-88f647e99ac2 | |
| # ╠═713ffe5c-0058-46aa-ab32-6db91195bbdf | |
| # ╠═3da508cf-b4a1-4be3-b1ae-0874c64b1bae | |
| # ╠═dc33f1cc-d0ad-4bef-8232-46c2ad75d9a1 | |
| # ╠═9ea23031-3c46-4fe0-824f-2f14ee576cac | |
| # ╠═c37a2113-b7e2-4d15-8f4c-60338a43928a | |
| # ╟─2e2bd91a-4404-458f-8ca0-a4ef0f3939d0 | |
| # ╟─00000000-0000-0000-0000-000000000001 | |
| # ╟─00000000-0000-0000-0000-000000000002 |
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