### A Pluto.jl notebook ###
# v0.19.46

using Markdown
using InteractiveUtils

# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
macro bind(def, element)
    quote
        local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end
        local el = $(esc(element))
        global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el)
        el
    end
end

# ╔═╡ 053da9d8-6f9c-11ef-0d48-8fd9479652f4
begin
	using LinearAlgebra, LinearSolve
	using Random, Distributions
	using Plots, LaTeXStrings
	using PlutoUI, PlutoTeachingTools
end

# ╔═╡ 5033b71b-2669-4618-b3cc-f332f4f97332
md"""
# Demo of Periodograms & Aliasing
"""

# ╔═╡ 49d6f3fa-9ed0-4ddd-88ab-7fd93976c22d
md"""
## Observing Schedules
"""

# ╔═╡ 68436251-9aab-4331-aea9-2b39c58fe6e1
md"""
Numbs of Observations: $(@bind nobs NumberField(10:10:1000, default=50)) $nbsp $nbsp $nbsp 
Observing time span: $(@bind time_span_yr NumberField(1.0:1:10, default=1)) years   
"""

# ╔═╡ c8266d34-24af-46f9-810e-9517bb424bf9
md"""
## Simulated Observations
"""

# ╔═╡ 48bf4d0e-2165-43fa-864a-b99e1baa2b86
md"""
RV Amplitude: $(@bind K NumberField(0:0.2:100, default=5.0))
Orbital Period: $(@bind period NumberField(0:0.1:100.0, default=40.1))
Orbital Phase: $(@bind phase_deg Slider(0:10:360, default=360*rand()))

RV Measurement uncertainty: $(@bind σ_rv NumberField(0:0.2:10, default=1.0)) m/s $nbsp $nbsp 
$(@bind regenerate_residuals Button("Regenerate measurement errors"))
"""

# ╔═╡ 897afa4d-1799-48f7-8af9-5f682095c0c5
md"""
## Periodograms
"""

# ╔═╡ d875ab2c-bba3-4724-9735-15ed95f69c34
md"""

Oversampling factor: $(@bind oversamp NumberField(1:1:128, default=8))
"""

# ╔═╡ a96cc9b8-c17d-4fbe-bb3e-269f43a153b6
md"""
Maximum perturbation to observing time: $(@bind max_Δtobs_hr NumberField(0.0:1:100.0, default=3.0)) hours
"""

# ╔═╡ a189254a-0a00-4613-8865-48c1b2b98868
md"""
# Calculations
"""

# ╔═╡ 4ec8a1c4-24f7-4ce5-bf18-bb453fe2db2f
md"""
### Additional Parameters
"""

# ╔═╡ 2d439eea-6c1f-4ac2-b220-dcdee31fbca0
md"""
## Generate Observation Times
"""

# ╔═╡ 6fe8f2e6-2813-4786-bb6f-cd4a1c142c2b
t_daily = collect(1:nobs);

# ╔═╡ 57a95b94-adea-4357-91c1-413497a4ad98
md"""
## Simulate Observations
"""

# ╔═╡ 75eeea42-ee5b-4346-ba16-d264efcbe5fc
begin
	regenerate_residuals
	rv_residuals = σ_rv .* randn(nobs);
end;

# ╔═╡ 825a655f-6a79-48a5-bdc5-c6c595b1e58e
md"""
## Compute Periodograms
"""

# ╔═╡ 4d5b032f-f212-4dcf-8d6b-88768707202c
md"""
## Functions for actual calculations
"""

# ╔═╡ e46d02f8-e7ba-4730-b30a-b1b438b80ef5
rv_true(period::Real,K::Real,ϕ::Real, t::Real) = K * cos(2π*t/period + ϕ)

# ╔═╡ e8434f4f-e77d-4dce-bbb7-87627d0cd169
function build_design_matrix_sinusoidal!(A::AbstractMatrix, P::Real, t::AbstractVector{<:Real})
	@assert size(A,1) == length(t)
	@assert size(A,2) == 3
	A[:,1] .= cos.(2π/P .* t)
	A[:,2] .= sin.(2π/P .* t)
	A[:,3] .= 1
	return A
end

# ╔═╡ c3823715-e2a7-4b11-8ae5-147da32612c3
function periodogram(y::AbstractVector, t::AbstractVector,
					 P_grid::AbstractVector)
	@assert length(t) == length(y)
	n = length(y)
	A = Matrix{Float64}(undef,n,3)
	predict = Vector{Float64}(undef,n)
	periodogram_rss = Vector{Float64}(undef,length(P_grid))
	periodogram_K = Vector{Float64}(undef,length(P_grid))
	
	for (i,P) in enumerate(P_grid)
		build_design_matrix_sinusoidal!(A,P,t)
		sol = solve(LinearProblem(A, y))
		predict .= A*sol
		periodogram_K[i] = sqrt(sol[1]^2+sol[2]^2)
		periodogram_rss[i] = sum((predict.-y).^2)
	end
	rss0 = sum(y.^2)
	periodogram_rss_norm = (rss0.-periodogram_rss)./rss0
	idx_bf = argmax(periodogram_rss)
	P_bf = P_grid[idx_bf]
	build_design_matrix_sinusoidal!(A,P_bf,t)
	sol_bf = solve(LinearProblem(A, y))
	K_bf = sqrt(sol_bf[1]^2+sol_bf[2]^2)
	pred_bf = A*sol_bf
	return (;periodogram_rss, periodogram_rss_norm, periodogram_K, P_bf, K_bf, pred_bf, idx_bf, sol_bf)
end

# ╔═╡ a7fbd697-c199-41f1-93bc-26af3c233290
md"""
## Helpers for UI/Plotting
"""

# ╔═╡ 6afb29d8-5da2-454e-bd53-6c154b028e15
begin
	sched_list = [:daily => "Daily", :regular => "Regular", :perturbed=> "Perturbed", :uniform => "Uniform", :none=>"None"]
	sched_dict = Dict(first.(sched_list) .=> last.(sched_list))
end;

# ╔═╡ 3a0c8be2-f9a2-4b58-84ad-012fffa5530a
md"""
Observing Schedule 1: $(@bind sched1 Select(sched_list,:regular))
Observing Schedule 2: $(@bind sched2 Select(sched_list,:uniform))
"""

# ╔═╡ af7dc5ec-a8f8-4dbc-ba19-c2281ad8bdf4
phase = deg2rad(phase_deg);

# ╔═╡ c8fc7cb2-c119-44ec-b14a-9a1e9c708d52
rv_obs_daily = rv_true.(period,K,phase,t_daily) .+ rv_residuals;

# ╔═╡ c8d0cdc9-14e2-4515-b5bc-c49c4c4c5f9b
begin
	#σ_tobs = σ_tobs_hr/24
	max_Δtobs = max_Δtobs_hr/24
end;

# ╔═╡ a3a7eea1-0a94-4bde-af0e-1e1e15643d54
time_span = time_span_yr * 365.2425;

# ╔═╡ 406ba98f-998b-4046-97ce-af8385657445
begin
	min_period = 0.75
	max_period = 1*time_span
	f_nyquist = 0.5*nobs/time_span
	P_grid = reverse(1 ./ range(1/max_period, 1/min_period, step = f_nyquist/(2π*oversamp)))
end;

# ╔═╡ 37f3e868-6f97-4581-a438-9192fc6b4305
md"""
x-axis range: low: $(@bind log_xmin Slider(log(minimum(P_grid)):log(maximum(P_grid)*0.75), default=log(0.9)))
high: $(@bind log_xmax Slider(log(2*minimum(P_grid)):log(maximum(P_grid)), default=log(maximum(P_grid))))
"""

# ╔═╡ 0cf9a0ac-c154-43fb-858c-8f093a8fc6b6
begin
xmin = exp(log_xmin)
xmax = exp(log_xmax)
end;

# ╔═╡ a722de1e-5b45-4d94-a115-f36a48f06529
output_daily = periodogram(rv_obs_daily, t_daily, P_grid);

# ╔═╡ 3c1b2e64-7dbb-4b93-bbac-1df253461808
t_regular = collect(range(0,time_span; step=floor(time_span/nobs))[1:nobs]);

# ╔═╡ a2c842ad-32a1-4277-b70b-458c7abb6607
t_perturbed = collect(t_regular .+ (2.0 .*rand(length(t_regular)).-1.0).*max_Δtobs);

# ╔═╡ 568fa09f-49e6-4ee9-b605-e65e454dd85e
rv_obs_perturbed = rv_true.(period,K,phase,t_perturbed) .+ rv_residuals;

# ╔═╡ cdb906f2-1f8b-48b6-b31e-6abd696619cf
output_perturbed = periodogram(rv_obs_perturbed, t_perturbed, P_grid);

# ╔═╡ f5e2d6f2-0521-4e4b-98b3-ca0c37fbe07e
rv_obs_regular = rv_true.(period,K,phase,t_regular) .+ rv_residuals;

# ╔═╡ 5350d7b2-06ae-4358-82e3-1668e9e54b27
output_regular = periodogram(rv_obs_regular, t_regular, P_grid);

# ╔═╡ 1146a11b-3a5c-468c-ae14-e48d5e74d72e
t_uniform = collect(sort(time_span * rand(nobs)));

# ╔═╡ b3e6c84e-3a99-4d39-9403-faa3d1461688
let
	plt = plot(xlabel="Time (d)", ylabel="Observation #", #= title="Observing Schedules"=# )
	plot!(plt,t_daily, 1:nobs, label="Daily",lw=3)
	plot!(plt,t_regular, 1:nobs, label="Regular",lw=3)
	plot!(plt,t_perturbed, 1:nobs, label="Perturbed",lw=3)
	plot!(plt,t_uniform, 1:nobs, label="Uniform",lw=3)
end

# ╔═╡ b1b6c6c9-70fd-44b3-8e94-64aa8d77ee43
rv_obs_uniform = rv_true.(period,K,phase,t_uniform) .+ rv_residuals;

# ╔═╡ 5e54984b-d14a-4552-a819-2ac27e8767d0
output_uniform = periodogram(rv_obs_uniform, t_uniform, P_grid);

# ╔═╡ d8aba8d6-6244-4e68-8166-7388e21a8fe9
begin
	t_sched = (;daily=t_daily, regular=t_regular, perturbed=t_perturbed, uniform=t_uniform)
	rv_obs_sched = (;daily=rv_obs_daily, regular=rv_obs_regular, perturbed=rv_obs_perturbed, uniform=rv_obs_uniform)
	output_sched = (;daily=output_daily, regular=output_regular, perturbed=	output_perturbed, uniform=output_uniform)
end;

# ╔═╡ c7b899d4-ac4f-488b-a961-99c8e078edde
let
	plt1 = plot(xlabel="Period (d)", ylabel="RSS (normalized)", title = "RSS Periodogram", legend=:topright, xscale=:log10) #, yscale=:log10)
	xlims!(plt1,xmin,xmax)
	plot!(plt1,fill(period,2),[0,1], lc=:black, label=:none)
	if sched1 != :none
	plot!(plt1,P_grid,output_sched[sched1].periodogram_rss_norm, label=sched_dict[sched1],lc=1)
	end
	if sched2 != :none
	plot!(plt1,P_grid,output_sched[sched2].periodogram_rss_norm, label=sched_dict[sched2],lc=2)
	end
	plt1
end	

# ╔═╡ 75aff9e0-8106-4ca9-9b44-aeb4931f8ffb
let
	plt1 = plot(xlabel="Period (d)", ylabel="Amplitude (m/s)", title = "Amplitude Periodogram", legend=:topright, xscale=:log10, yscale=:log10)
	ymin = 0.5*σ_rv/sqrt(nobs)
	ymax = 3*K
	xlims!(plt1,xmin,xmax)
	ylims!(plt1,ymin,ymax)
	plot!(plt1,fill(period,2),[ymin,ymax], lc=:black, label=:none)
	scatter!(plt1,[period,],[K,], mc=:black, label=:none)
	if sched1 != :none
		plot!(plt1,P_grid,output_sched[sched1].periodogram_K, label=sched_dict[sched1],lc=1)
		scatter!(plt1,[output_sched[sched1].P_bf,],[output_sched[sched1].K_bf,], mc=1, label=:none)
	end
	if sched2 != :none
		plot!(plt1,P_grid,output_sched[sched2].periodogram_K, label=sched_dict[sched2],lc=2)
		scatter!(plt1,[output_sched[sched2].P_bf,],[output_sched[sched2].K_bf,], mc=2, label=:none)
	end
	plt1
end

# ╔═╡ b3f41b1e-95bf-4f7c-b28b-40d741b601e1
let
	plt1 = plot(xlabel="Period (d)", ylabel=L"\chi^2_{bf}(P)", title = L"\Delta\chi^2\;\; \mathrm{ Periodogram}", legend=:topright, xscale=:log10) #, yscale=:log10)
	xlims!(plt1,xmin,xmax)
	rss0 = sum(rv_residuals.^2)
	plot!(plt1,fill(period,2),[0,1], lc=:black, label=:none)
	if sched1 != :none
	plot!(plt1,P_grid,-output_sched[sched1].periodogram_rss, label=sched_dict[sched1],lc=1)
	end
	if sched2 != :none
	plot!(plt1,P_grid,-output_sched[sched2].periodogram_rss, label=sched_dict[sched2],lc=2)
	end
	plt1
end	

# ╔═╡ c1870662-8f90-41a3-9860-e772b88acfe7
t_plt = 1:0.5:time_span;

# ╔═╡ a8dff274-cb44-4589-8dd8-cb1f9ac99c5d
rv_plt = rv_true.(period,K,phase,t_plt);

# ╔═╡ 1152b0cf-42cf-4e72-88bd-b2044e327641
let
	plt = plot(xlabel="Time (d)", ylabel="RV (m/s)", #= title="Simulated Observations", =# legend=:none)
	plot!(plt,t_plt,rv_plt, lc=:black)
	scatter!(plt,t_sched[sched1],rv_obs_sched[sched1], yerr=σ_rv, mc=:blue)
	if sched2 != :none
	scatter!(plt,t_sched[sched2],rv_obs_sched[sched2], yerr=σ_rv, mc=:red)
	end
	xlims!(0,time_span)
end

# ╔═╡ 627d6189-2e49-4001-8a75-476bcb159879
md"""
# Setup
"""

# ╔═╡ fee26253-3fd6-4211-a580-42ffe986937c
TableOfContents()

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
LinearSolve = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
PlutoTeachingTools = "661c6b06-c737-4d37-b85c-46df65de6f69"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[compat]
Distributions = "~0.25.111"
LaTeXStrings = "~1.3.1"
LinearSolve = "~2.22.1"
Plots = "~1.40.8"
PlutoTeachingTools = "~0.2.13"
PlutoUI = "~0.7.59"
"""

# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
# This file is machine-generated - editing it directly is not advised

julia_version = "1.9.2"
manifest_format = "2.0"
project_hash = "2ac09aadf46407912bfa0341682bd160bdcf94bc"

[[deps.ADTypes]]
git-tree-sha1 = "41c37aa88889c171f1300ceac1313c06e891d245"
uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
version = "0.2.6"

[[deps.AbstractPlutoDingetjes]]
deps = ["Pkg"]
git-tree-sha1 = "6e1d2a35f2f90a4bc7c2ed98079b2ba09c35b83a"
uuid = "6e696c72-6542-2067-7265-42206c756150"
version = "1.3.2"

[[deps.Adapt]]
deps = ["LinearAlgebra", "Requires"]
git-tree-sha1 = "6a55b747d1812e699320963ffde36f1ebdda4099"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "4.0.4"

    [deps.Adapt.extensions]
    AdaptStaticArraysExt = "StaticArrays"

    [deps.Adapt.weakdeps]
    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"

[[deps.AliasTables]]
deps = ["PtrArrays", "Random"]
git-tree-sha1 = "9876e1e164b144ca45e9e3198d0b689cadfed9ff"
uuid = "66dad0bd-aa9a-41b7-9441-69ab47430ed8"
version = "1.1.3"

[[deps.ArgTools]]
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
version = "1.1.1"

[[deps.ArrayInterface]]
deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "c5aeb516a84459e0318a02507d2261edad97eb75"
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
version = "7.7.1"

    [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.Artifacts]]
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"

[[deps.Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"

[[deps.BitFlags]]
git-tree-sha1 = "0691e34b3bb8be9307330f88d1a3c3f25466c24d"
uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35"
version = "0.1.9"

[[deps.BitTwiddlingConvenienceFunctions]]
deps = ["Static"]
git-tree-sha1 = "0c5f81f47bbbcf4aea7b2959135713459170798b"
uuid = "62783981-4cbd-42fc-bca8-16325de8dc4b"
version = "0.1.5"

[[deps.Bzip2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "9e2a6b69137e6969bab0152632dcb3bc108c8bdd"
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
version = "1.0.8+1"

[[deps.CPUSummary]]
deps = ["CpuId", "IfElse", "PrecompileTools", "Static"]
git-tree-sha1 = "601f7e7b3d36f18790e2caf83a882d88e9b71ff1"
uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9"
version = "0.2.4"

[[deps.Cairo_jll]]
deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "a2f1c8c668c8e3cb4cca4e57a8efdb09067bb3fd"
uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
version = "1.18.0+2"

[[deps.CloseOpenIntervals]]
deps = ["Static", "StaticArrayInterface"]
git-tree-sha1 = "70232f82ffaab9dc52585e0dd043b5e0c6b714f1"
uuid = "fb6a15b2-703c-40df-9091-08a04967cfa9"
version = "0.1.12"

[[deps.CodeTracking]]
deps = ["InteractiveUtils", "UUIDs"]
git-tree-sha1 = "7eee164f122511d3e4e1ebadb7956939ea7e1c77"
uuid = "da1fd8a2-8d9e-5ec2-8556-3022fb5608a2"
version = "1.3.6"

[[deps.CodecZlib]]
deps = ["TranscodingStreams", "Zlib_jll"]
git-tree-sha1 = "bce6804e5e6044c6daab27bb533d1295e4a2e759"
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
version = "0.7.6"

[[deps.ColorSchemes]]
deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
git-tree-sha1 = "b5278586822443594ff615963b0c09755771b3e0"
uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
version = "3.26.0"

[[deps.ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "b10d0b65641d57b8b4d5e234446582de5047050d"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.11.5"

[[deps.ColorVectorSpace]]
deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "Requires", "Statistics", "TensorCore"]
git-tree-sha1 = "a1f44953f2382ebb937d60dafbe2deea4bd23249"
uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
version = "0.10.0"
weakdeps = ["SpecialFunctions"]

    [deps.ColorVectorSpace.extensions]
    SpecialFunctionsExt = "SpecialFunctions"

[[deps.Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
git-tree-sha1 = "362a287c3aa50601b0bc359053d5c2468f0e7ce0"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.12.11"

[[deps.CommonSolve]]
git-tree-sha1 = "0eee5eb66b1cf62cd6ad1b460238e60e4b09400c"
uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
version = "0.2.4"

[[deps.Compat]]
deps = ["TOML", "UUIDs"]
git-tree-sha1 = "8ae8d32e09f0dcf42a36b90d4e17f5dd2e4c4215"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "4.16.0"
weakdeps = ["Dates", "LinearAlgebra"]

    [deps.Compat.extensions]
    CompatLinearAlgebraExt = "LinearAlgebra"

[[deps.CompilerSupportLibraries_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
version = "1.0.5+0"

[[deps.ConcreteStructs]]
git-tree-sha1 = "f749037478283d372048690eb3b5f92a79432b34"
uuid = "2569d6c7-a4a2-43d3-a901-331e8e4be471"
version = "0.2.3"

[[deps.ConcurrentUtilities]]
deps = ["Serialization", "Sockets"]
git-tree-sha1 = "ea32b83ca4fefa1768dc84e504cc0a94fb1ab8d1"
uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb"
version = "2.4.2"

[[deps.ConstructionBase]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "d8a9c0b6ac2d9081bf76324b39c78ca3ce4f0c98"
uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
version = "1.5.6"

    [deps.ConstructionBase.extensions]
    ConstructionBaseIntervalSetsExt = "IntervalSets"
    ConstructionBaseStaticArraysExt = "StaticArrays"

    [deps.ConstructionBase.weakdeps]
    IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953"
    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"

[[deps.Contour]]
git-tree-sha1 = "439e35b0b36e2e5881738abc8857bd92ad6ff9a8"
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
version = "0.6.3"

[[deps.CpuId]]
deps = ["Markdown"]
git-tree-sha1 = "fcbb72b032692610bfbdb15018ac16a36cf2e406"
uuid = "adafc99b-e345-5852-983c-f28acb93d879"
version = "0.3.1"

[[deps.DataAPI]]
git-tree-sha1 = "abe83f3a2f1b857aac70ef8b269080af17764bbe"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.16.0"

[[deps.DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "1d0a14036acb104d9e89698bd408f63ab58cdc82"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.20"

[[deps.DataValueInterfaces]]
git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
version = "1.0.0"

[[deps.Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"

[[deps.Dbus_jll]]
deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl"]
git-tree-sha1 = "fc173b380865f70627d7dd1190dc2fce6cc105af"
uuid = "ee1fde0b-3d02-5ea6-8484-8dfef6360eab"
version = "1.14.10+0"

[[deps.DelimitedFiles]]
deps = ["Mmap"]
git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae"
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
version = "1.9.1"

[[deps.Distributed]]
deps = ["Random", "Serialization", "Sockets"]
uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"

[[deps.Distributions]]
deps = ["AliasTables", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
git-tree-sha1 = "e6c693a0e4394f8fda0e51a5bdf5aef26f8235e9"
uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
version = "0.25.111"

    [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"]
git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.9.3"

[[deps.Downloads]]
deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
version = "1.6.0"

[[deps.EnumX]]
git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
version = "1.0.4"

[[deps.EpollShim_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "8e9441ee83492030ace98f9789a654a6d0b1f643"
uuid = "2702e6a9-849d-5ed8-8c21-79e8b8f9ee43"
version = "0.0.20230411+0"

[[deps.ExceptionUnwrapping]]
deps = ["Test"]
git-tree-sha1 = "dcb08a0d93ec0b1cdc4af184b26b591e9695423a"
uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4"
version = "0.1.10"

[[deps.Expat_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "1c6317308b9dc757616f0b5cb379db10494443a7"
uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
version = "2.6.2+0"

[[deps.ExprTools]]
git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec"
uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
version = "0.1.10"

[[deps.FFMPEG]]
deps = ["FFMPEG_jll"]
git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
version = "0.4.1"

[[deps.FFMPEG_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "PCRE2_jll", "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 = "4.4.4+1"

[[deps.FastLapackInterface]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "b12f05108e405dadcc2aff0008db7f831374e051"
uuid = "29a986be-02c6-4525-aec4-84b980013641"
version = "2.0.0"

[[deps.FileWatching]]
uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"

[[deps.FillArrays]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "6a70198746448456524cb442b8af316927ff3e1a"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "1.13.0"
weakdeps = ["PDMats", "SparseArrays", "Statistics"]

    [deps.FillArrays.extensions]
    FillArraysPDMatsExt = "PDMats"
    FillArraysSparseArraysExt = "SparseArrays"
    FillArraysStatisticsExt = "Statistics"

[[deps.FixedPointNumbers]]
deps = ["Statistics"]
git-tree-sha1 = "05882d6995ae5c12bb5f36dd2ed3f61c98cbb172"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.8.5"

[[deps.Fontconfig_jll]]
deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Zlib_jll"]
git-tree-sha1 = "db16beca600632c95fc8aca29890d83788dd8b23"
uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
version = "2.13.96+0"

[[deps.Format]]
git-tree-sha1 = "9c68794ef81b08086aeb32eeaf33531668d5f5fc"
uuid = "1fa38f19-a742-5d3f-a2b9-30dd87b9d5f8"
version = "1.3.7"

[[deps.FreeType2_jll]]
deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "5c1d8ae0efc6c2e7b1fc502cbe25def8f661b7bc"
uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
version = "2.13.2+0"

[[deps.FriBidi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "1ed150b39aebcc805c26b93a8d0122c940f64ce2"
uuid = "559328eb-81f9-559d-9380-de523a88c83c"
version = "1.0.14+0"

[[deps.FunctionWrappers]]
git-tree-sha1 = "d62485945ce5ae9c0c48f124a84998d755bae00e"
uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
version = "1.1.3"

[[deps.FunctionWrappersWrappers]]
deps = ["FunctionWrappers"]
git-tree-sha1 = "b104d487b34566608f8b4e1c39fb0b10aa279ff8"
uuid = "77dc65aa-8811-40c2-897b-53d922fa7daf"
version = "0.1.3"

[[deps.Future]]
deps = ["Random"]
uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"

[[deps.GLFW_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll", "libdecor_jll", "xkbcommon_jll"]
git-tree-sha1 = "532f9126ad901533af1d4f5c198867227a7bb077"
uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
version = "3.4.0+1"

[[deps.GPUArraysCore]]
deps = ["Adapt"]
git-tree-sha1 = "ec632f177c0d990e64d955ccc1b8c04c485a0950"
uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
version = "0.1.6"

[[deps.GR]]
deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Preferences", "Printf", "Qt6Wayland_jll", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "p7zip_jll"]
git-tree-sha1 = "629693584cef594c3f6f99e76e7a7ad17e60e8d5"
uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
version = "0.73.7"

[[deps.GR_jll]]
deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "FreeType2_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt6Base_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "a8863b69c2a0859f2c2c87ebdc4c6712e88bdf0d"
uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
version = "0.73.7+0"

[[deps.Gettext_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046"
uuid = "78b55507-aeef-58d4-861c-77aaff3498b1"
version = "0.21.0+0"

[[deps.Glib_jll]]
deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Zlib_jll"]
git-tree-sha1 = "7c82e6a6cd34e9d935e9aa4051b66c6ff3af59ba"
uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
version = "2.80.2+0"

[[deps.Graphite2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
version = "1.3.14+0"

[[deps.Grisu]]
git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
version = "1.0.2"

[[deps.HTTP]]
deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
git-tree-sha1 = "d1d712be3164d61d1fb98e7ce9bcbc6cc06b45ed"
uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
version = "1.10.8"

[[deps.HarfBuzz_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll"]
git-tree-sha1 = "401e4f3f30f43af2c8478fc008da50096ea5240f"
uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
version = "8.3.1+0"

[[deps.HostCPUFeatures]]
deps = ["BitTwiddlingConvenienceFunctions", "IfElse", "Libdl", "Static"]
git-tree-sha1 = "eb8fed28f4994600e29beef49744639d985a04b2"
uuid = "3e5b6fbb-0976-4d2c-9146-d79de83f2fb0"
version = "0.1.16"

[[deps.HypergeometricFunctions]]
deps = ["LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
git-tree-sha1 = "7c4195be1649ae622304031ed46a2f4df989f1eb"
uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
version = "0.3.24"

[[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.IfElse]]
git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
version = "0.1.1"

[[deps.IntelOpenMP_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "14eb2b542e748570b56446f4c50fbfb2306ebc45"
uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
version = "2024.2.0+0"

[[deps.InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"

[[deps.IrrationalConstants]]
git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
version = "0.2.2"

[[deps.IteratorInterfaceExtensions]]
git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
uuid = "82899510-4779-5014-852e-03e436cf321d"
version = "1.0.0"

[[deps.JLFzf]]
deps = ["Pipe", "REPL", "Random", "fzf_jll"]
git-tree-sha1 = "39d64b09147620f5ffbf6b2d3255be3c901bec63"
uuid = "1019f520-868f-41f5-a6de-eb00f4b6a39c"
version = "0.1.8"

[[deps.JLLWrappers]]
deps = ["Artifacts", "Preferences"]
git-tree-sha1 = "f389674c99bfcde17dc57454011aa44d5a260a40"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.6.0"

[[deps.JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.4"

[[deps.JpegTurbo_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "c84a835e1a09b289ffcd2271bf2a337bbdda6637"
uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
version = "3.0.3+0"

[[deps.JuliaInterpreter]]
deps = ["CodeTracking", "InteractiveUtils", "Random", "UUIDs"]
git-tree-sha1 = "4b415b6cccb9ab61fec78a621572c82ac7fa5776"
uuid = "aa1ae85d-cabe-5617-a682-6adf51b2e16a"
version = "0.9.35"

[[deps.KLU]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse_jll"]
git-tree-sha1 = "884c2968c2e8e7e6bf5956af88cb46aa745c854b"
uuid = "ef3ab10e-7fda-4108-b977-705223b18434"
version = "0.4.1"

[[deps.Krylov]]
deps = ["LinearAlgebra", "Printf", "SparseArrays"]
git-tree-sha1 = "8a6837ec02fe5fb3def1abc907bb802ef11a0729"
uuid = "ba0b0d4f-ebba-5204-a429-3ac8c609bfb7"
version = "0.9.5"

[[deps.LAME_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "170b660facf5df5de098d866564877e119141cbd"
uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
version = "3.100.2+0"

[[deps.LERC_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434"
uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
version = "3.0.0+1"

[[deps.LLVMOpenMP_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e16271d212accd09d52ee0ae98956b8a05c4b626"
uuid = "1d63c593-3942-5779-bab2-d838dc0a180e"
version = "17.0.6+0"

[[deps.LZO_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "70c5da094887fd2cae843b8db33920bac4b6f07d"
uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
version = "2.10.2+0"

[[deps.LaTeXStrings]]
git-tree-sha1 = "50901ebc375ed41dbf8058da26f9de442febbbec"
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
version = "1.3.1"

[[deps.Latexify]]
deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"]
git-tree-sha1 = "ce5f5621cac23a86011836badfedf664a612cee4"
uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
version = "0.16.5"

    [deps.Latexify.extensions]
    DataFramesExt = "DataFrames"
    SparseArraysExt = "SparseArrays"
    SymEngineExt = "SymEngine"

    [deps.Latexify.weakdeps]
    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
    SymEngine = "123dc426-2d89-5057-bbad-38513e3affd8"

[[deps.LayoutPointers]]
deps = ["ArrayInterface", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface"]
git-tree-sha1 = "62edfee3211981241b57ff1cedf4d74d79519277"
uuid = "10f19ff3-798f-405d-979b-55457f8fc047"
version = "0.1.15"

[[deps.Lazy]]
deps = ["MacroTools"]
git-tree-sha1 = "1370f8202dac30758f3c345f9909b97f53d87d3f"
uuid = "50d2b5c4-7a5e-59d5-8109-a42b560f39c0"
version = "0.15.1"

[[deps.LazyArtifacts]]
deps = ["Artifacts", "Pkg"]
uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"

[[deps.LibCURL]]
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
version = "0.6.3"

[[deps.LibCURL_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
version = "7.84.0+0"

[[deps.LibGit2]]
deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"

[[deps.LibSSH2_jll]]
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
version = "1.10.2+0"

[[deps.Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"

[[deps.Libffi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290"
uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
version = "3.2.2+1"

[[deps.Libgcrypt_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll"]
git-tree-sha1 = "9fd170c4bbfd8b935fdc5f8b7aa33532c991a673"
uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
version = "1.8.11+0"

[[deps.Libglvnd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
git-tree-sha1 = "6f73d1dd803986947b2c750138528a999a6c7733"
uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
version = "1.6.0+0"

[[deps.Libgpg_error_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "fbb1f2bef882392312feb1ede3615ddc1e9b99ed"
uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
version = "1.49.0+0"

[[deps.Libiconv_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "f9557a255370125b405568f9767d6d195822a175"
uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
version = "1.17.0+0"

[[deps.Libmount_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "0c4f9c4f1a50d8f35048fa0532dabbadf702f81e"
uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
version = "2.40.1+0"

[[deps.Libtiff_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "XZ_jll", "Zlib_jll", "Zstd_jll"]
git-tree-sha1 = "2da088d113af58221c52828a80378e16be7d037a"
uuid = "89763e89-9b03-5906-acba-b20f662cd828"
version = "4.5.1+1"

[[deps.Libuuid_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "5ee6203157c120d79034c748a2acba45b82b8807"
uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
version = "2.40.1+0"

[[deps.LinearAlgebra]]
deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

[[deps.LinearSolve]]
deps = ["ArrayInterface", "ConcreteStructs", "DocStringExtensions", "EnumX", "FastLapackInterface", "GPUArraysCore", "InteractiveUtils", "KLU", "Krylov", "Libdl", "LinearAlgebra", "MKL_jll", "PrecompileTools", "Preferences", "RecursiveFactorization", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Sparspak", "StaticArraysCore", "UnPack"]
git-tree-sha1 = "6f8e084deabe3189416c4e505b1c53e1b590cae8"
uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
version = "2.22.1"

    [deps.LinearSolve.extensions]
    LinearSolveBandedMatricesExt = "BandedMatrices"
    LinearSolveBlockDiagonalsExt = "BlockDiagonals"
    LinearSolveCUDAExt = "CUDA"
    LinearSolveEnzymeExt = ["Enzyme", "EnzymeCore"]
    LinearSolveFastAlmostBandedMatricesExt = ["FastAlmostBandedMatrices"]
    LinearSolveHYPREExt = "HYPRE"
    LinearSolveIterativeSolversExt = "IterativeSolvers"
    LinearSolveKernelAbstractionsExt = "KernelAbstractions"
    LinearSolveKrylovKitExt = "KrylovKit"
    LinearSolveMetalExt = "Metal"
    LinearSolvePardisoExt = "Pardiso"
    LinearSolveRecursiveArrayToolsExt = "RecursiveArrayTools"

    [deps.LinearSolve.weakdeps]
    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
    BlockDiagonals = "0a1fb500-61f7-11e9-3c65-f5ef3456f9f0"
    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
    EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
    FastAlmostBandedMatrices = "9d29842c-ecb8-4973-b1e9-a27b1157504e"
    HYPRE = "b5ffcf37-a2bd-41ab-a3da-4bd9bc8ad771"
    IterativeSolvers = "42fd0dbc-a981-5370-80f2-aaf504508153"
    KernelAbstractions = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
    KrylovKit = "0b1a1467-8014-51b9-945f-bf0ae24f4b77"
    Metal = "dde4c033-4e86-420c-a63e-0dd931031962"
    Pardiso = "46dd5b70-b6fb-5a00-ae2d-e8fea33afaf2"
    RecursiveArrayTools = "731186ca-8d62-57ce-b412-fbd966d074cd"

[[deps.LogExpFunctions]]
deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
git-tree-sha1 = "a2d09619db4e765091ee5c6ffe8872849de0feea"
uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
version = "0.3.28"

    [deps.LogExpFunctions.extensions]
    LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
    LogExpFunctionsChangesOfVariablesExt = "ChangesOfVariables"
    LogExpFunctionsInverseFunctionsExt = "InverseFunctions"

    [deps.LogExpFunctions.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    ChangesOfVariables = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"

[[deps.Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"

[[deps.LoggingExtras]]
deps = ["Dates", "Logging"]
git-tree-sha1 = "c1dd6d7978c12545b4179fb6153b9250c96b0075"
uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
version = "1.0.3"

[[deps.LoopVectorization]]
deps = ["ArrayInterface", "CPUSummary", "CloseOpenIntervals", "DocStringExtensions", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "PrecompileTools", "SIMDTypes", "SLEEFPirates", "Static", "StaticArrayInterface", "ThreadingUtilities", "UnPack", "VectorizationBase"]
git-tree-sha1 = "0f5648fbae0d015e3abe5867bca2b362f67a5894"
uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
version = "0.12.166"

    [deps.LoopVectorization.extensions]
    ForwardDiffExt = ["ChainRulesCore", "ForwardDiff"]
    SpecialFunctionsExt = "SpecialFunctions"

    [deps.LoopVectorization.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
    SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"

[[deps.LoweredCodeUtils]]
deps = ["JuliaInterpreter"]
git-tree-sha1 = "1ce1834f9644a8f7c011eb0592b7fd6c42c90653"
uuid = "6f1432cf-f94c-5a45-995e-cdbf5db27b0b"
version = "3.0.1"

[[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", "oneTBB_jll"]
git-tree-sha1 = "f046ccd0c6db2832a9f639e2c669c6fe867e5f4f"
uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
version = "2024.2.0+0"

[[deps.MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "2fa9ee3e63fd3a4f7a9a4f4744a52f4856de82df"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.13"

[[deps.ManualMemory]]
git-tree-sha1 = "bcaef4fc7a0cfe2cba636d84cda54b5e4e4ca3cd"
uuid = "d125e4d3-2237-4719-b19c-fa641b8a4667"
version = "0.1.8"

[[deps.Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"

[[deps.MbedTLS]]
deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "NetworkOptions", "Random", "Sockets"]
git-tree-sha1 = "c067a280ddc25f196b5e7df3877c6b226d390aaf"
uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
version = "1.1.9"

[[deps.MbedTLS_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
version = "2.28.2+0"

[[deps.Measures]]
git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102"
uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
version = "0.3.2"

[[deps.Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "ec4f7fbeab05d7747bdf98eb74d130a2a2ed298d"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "1.2.0"

[[deps.Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"

[[deps.MozillaCACerts_jll]]
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
version = "2022.10.11"

[[deps.NaNMath]]
deps = ["OpenLibm_jll"]
git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "1.0.2"

[[deps.NetworkOptions]]
uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
version = "1.2.0"

[[deps.OffsetArrays]]
git-tree-sha1 = "1a27764e945a152f7ca7efa04de513d473e9542e"
uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
version = "1.14.1"
weakdeps = ["Adapt"]

    [deps.OffsetArrays.extensions]
    OffsetArraysAdaptExt = "Adapt"

[[deps.Ogg_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f"
uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
version = "1.3.5+1"

[[deps.OpenBLAS_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
version = "0.3.21+4"

[[deps.OpenLibm_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
version = "0.8.1+0"

[[deps.OpenSSL]]
deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
git-tree-sha1 = "38cb508d080d21dc1128f7fb04f20387ed4c0af4"
uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c"
version = "1.4.3"

[[deps.OpenSSL_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "a028ee3cb5641cccc4c24e90c36b0a4f7707bdf5"
uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
version = "3.0.14+0"

[[deps.OpenSpecFun_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
version = "0.5.5+0"

[[deps.Opus_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "6703a85cb3781bd5909d48730a67205f3f31a575"
uuid = "91d4177d-7536-5919-b921-800302f37372"
version = "1.3.3+0"

[[deps.OrderedCollections]]
git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.6.3"

[[deps.PCRE2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15"
version = "10.42.0+0"

[[deps.PDMats]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "949347156c25054de2db3b166c52ac4728cbad65"
uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
version = "0.11.31"

[[deps.Pango_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "FriBidi_jll", "Glib_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e127b609fb9ecba6f201ba7ab753d5a605d53801"
uuid = "36c8627f-9965-5494-a995-c6b170f724f3"
version = "1.54.1+0"

[[deps.Parsers]]
deps = ["Dates", "PrecompileTools", "UUIDs"]
git-tree-sha1 = "8489905bcdbcfac64d1daa51ca07c0d8f0283821"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "2.8.1"

[[deps.Pipe]]
git-tree-sha1 = "6842804e7867b115ca9de748a0cf6b364523c16d"
uuid = "b98c9c47-44ae-5843-9183-064241ee97a0"
version = "1.3.0"

[[deps.Pixman_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
git-tree-sha1 = "35621f10a7531bc8fa58f74610b1bfb70a3cfc6b"
uuid = "30392449-352a-5448-841d-b1acce4e97dc"
version = "0.43.4+0"

[[deps.Pkg]]
deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
version = "1.9.2"

[[deps.PlotThemes]]
deps = ["PlotUtils", "Statistics"]
git-tree-sha1 = "6e55c6841ce3411ccb3457ee52fc48cb698d6fb0"
uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
version = "3.2.0"

[[deps.PlotUtils]]
deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"]
git-tree-sha1 = "7b1a9df27f072ac4c9c7cbe5efb198489258d1f5"
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
version = "1.4.1"

[[deps.Plots]]
deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "TOML", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
git-tree-sha1 = "45470145863035bb124ca51b320ed35d071cc6c2"
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
version = "1.40.8"

    [deps.Plots.extensions]
    FileIOExt = "FileIO"
    GeometryBasicsExt = "GeometryBasics"
    IJuliaExt = "IJulia"
    ImageInTerminalExt = "ImageInTerminal"
    UnitfulExt = "Unitful"

    [deps.Plots.weakdeps]
    FileIO = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
    GeometryBasics = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
    IJulia = "7073ff75-c697-5162-941a-fcdaad2a7d2a"
    ImageInTerminal = "d8c32880-2388-543b-8c61-d9f865259254"
    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"

[[deps.PlutoHooks]]
deps = ["InteractiveUtils", "Markdown", "UUIDs"]
git-tree-sha1 = "072cdf20c9b0507fdd977d7d246d90030609674b"
uuid = "0ff47ea0-7a50-410d-8455-4348d5de0774"
version = "0.0.5"

[[deps.PlutoLinks]]
deps = ["FileWatching", "InteractiveUtils", "Markdown", "PlutoHooks", "Revise", "UUIDs"]
git-tree-sha1 = "8f5fa7056e6dcfb23ac5211de38e6c03f6367794"
uuid = "0ff47ea0-7a50-410d-8455-4348d5de0420"
version = "0.1.6"

[[deps.PlutoTeachingTools]]
deps = ["Downloads", "HypertextLiteral", "LaTeXStrings", "Latexify", "Markdown", "PlutoLinks", "PlutoUI", "Random"]
git-tree-sha1 = "542de5acb35585afcf202a6d3361b430bc1c3fbd"
uuid = "661c6b06-c737-4d37-b85c-46df65de6f69"
version = "0.2.13"

[[deps.PlutoUI]]
deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "FixedPointNumbers", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "MIMEs", "Markdown", "Random", "Reexport", "URIs", "UUIDs"]
git-tree-sha1 = "ab55ee1510ad2af0ff674dbcced5e94921f867a9"
uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
version = "0.7.59"

[[deps.Polyester]]
deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Requires", "Static", "StaticArrayInterface", "StrideArraysCore", "ThreadingUtilities"]
git-tree-sha1 = "fca25670784a1ae44546bcb17288218310af2778"
uuid = "f517fe37-dbe3-4b94-8317-1923a5111588"
version = "0.7.9"

[[deps.PolyesterWeave]]
deps = ["BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "Static", "ThreadingUtilities"]
git-tree-sha1 = "240d7170f5ffdb285f9427b92333c3463bf65bf6"
uuid = "1d0040c9-8b98-4ee7-8388-3f51789ca0ad"
version = "0.2.1"

[[deps.PrecompileTools]]
deps = ["Preferences"]
git-tree-sha1 = "5aa36f7049a63a1528fe8f7c3f2113413ffd4e1f"
uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
version = "1.2.1"

[[deps.Preferences]]
deps = ["TOML"]
git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.4.3"

[[deps.Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[deps.PtrArrays]]
git-tree-sha1 = "77a42d78b6a92df47ab37e177b2deac405e1c88f"
uuid = "43287f4e-b6f4-7ad1-bb20-aadabca52c3d"
version = "1.2.1"

[[deps.Qt6Base_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Vulkan_Loader_jll", "Xorg_libSM_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_cursor_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "libinput_jll", "xkbcommon_jll"]
git-tree-sha1 = "492601870742dcd38f233b23c3ec629628c1d724"
uuid = "c0090381-4147-56d7-9ebc-da0b1113ec56"
version = "6.7.1+1"

[[deps.Qt6Declarative_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Qt6Base_jll", "Qt6ShaderTools_jll"]
git-tree-sha1 = "e5dd466bf2569fe08c91a2cc29c1003f4797ac3b"
uuid = "629bc702-f1f5-5709-abd5-49b8460ea067"
version = "6.7.1+2"

[[deps.Qt6ShaderTools_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Qt6Base_jll"]
git-tree-sha1 = "1a180aeced866700d4bebc3120ea1451201f16bc"
uuid = "ce943373-25bb-56aa-8eca-768745ed7b5a"
version = "6.7.1+1"

[[deps.Qt6Wayland_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Qt6Base_jll", "Qt6Declarative_jll"]
git-tree-sha1 = "729927532d48cf79f49070341e1d918a65aba6b0"
uuid = "e99dba38-086e-5de3-a5b1-6e4c66e897c3"
version = "6.7.1+1"

[[deps.QuadGK]]
deps = ["DataStructures", "LinearAlgebra"]
git-tree-sha1 = "1d587203cf851a51bf1ea31ad7ff89eff8d625ea"
uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
version = "2.11.0"

    [deps.QuadGK.extensions]
    QuadGKEnzymeExt = "Enzyme"

    [deps.QuadGK.weakdeps]
    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"

[[deps.REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

[[deps.Random]]
deps = ["SHA", "Serialization"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[[deps.RecipesBase]]
deps = ["PrecompileTools"]
git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "1.3.4"

[[deps.RecipesPipeline]]
deps = ["Dates", "NaNMath", "PlotUtils", "PrecompileTools", "RecipesBase"]
git-tree-sha1 = "45cf9fd0ca5839d06ef333c8201714e888486342"
uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
version = "0.6.12"

[[deps.RecursiveArrayTools]]
deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "Requires", "SparseArrays", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
git-tree-sha1 = "27ee1c03e732c488ecce1a25f0d7da9b5d936574"
uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
version = "3.3.3"

    [deps.RecursiveArrayTools.extensions]
    RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
    RecursiveArrayToolsMeasurementsExt = "Measurements"
    RecursiveArrayToolsMonteCarloMeasurementsExt = "MonteCarloMeasurements"
    RecursiveArrayToolsTrackerExt = "Tracker"
    RecursiveArrayToolsZygoteExt = "Zygote"

    [deps.RecursiveArrayTools.weakdeps]
    FastBroadcast = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
    MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"

[[deps.RecursiveFactorization]]
deps = ["LinearAlgebra", "LoopVectorization", "Polyester", "PrecompileTools", "StrideArraysCore", "TriangularSolve"]
git-tree-sha1 = "8bc86c78c7d8e2a5fe559e3721c0f9c9e303b2ed"
uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
version = "0.2.21"

[[deps.Reexport]]
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "1.2.2"

[[deps.RelocatableFolders]]
deps = ["SHA", "Scratch"]
git-tree-sha1 = "ffdaf70d81cf6ff22c2b6e733c900c3321cab864"
uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
version = "1.0.1"

[[deps.Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.3.0"

[[deps.Revise]]
deps = ["CodeTracking", "Distributed", "FileWatching", "JuliaInterpreter", "LibGit2", "LoweredCodeUtils", "OrderedCollections", "REPL", "Requires", "UUIDs", "Unicode"]
git-tree-sha1 = "7b7850bb94f75762d567834d7e9802fc22d62f9c"
uuid = "295af30f-e4ad-537b-8983-00126c2a3abe"
version = "3.5.18"

[[deps.Rmath]]
deps = ["Random", "Rmath_jll"]
git-tree-sha1 = "f65dcb5fa46aee0cf9ed6274ccbd597adc49aa7b"
uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
version = "0.7.1"

[[deps.Rmath_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e60724fd3beea548353984dc61c943ecddb0e29a"
uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
version = "0.4.3+0"

[[deps.RuntimeGeneratedFunctions]]
deps = ["ExprTools", "SHA", "Serialization"]
git-tree-sha1 = "6aacc5eefe8415f47b3e34214c1d79d2674a0ba2"
uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
version = "0.5.12"

[[deps.SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
version = "0.7.0"

[[deps.SIMDTypes]]
git-tree-sha1 = "330289636fb8107c5f32088d2741e9fd7a061a5c"
uuid = "94e857df-77ce-4151-89e5-788b33177be4"
version = "0.1.0"

[[deps.SLEEFPirates]]
deps = ["IfElse", "Static", "VectorizationBase"]
git-tree-sha1 = "3aac6d68c5e57449f5b9b865c9ba50ac2970c4cf"
uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
version = "0.6.42"

[[deps.SciMLBase]]
deps = ["ADTypes", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FillArrays", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables", "TruncatedStacktraces"]
git-tree-sha1 = "09324a0ae70c52a45b91b236c62065f78b099c37"
uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
version = "2.15.2"

    [deps.SciMLBase.extensions]
    SciMLBaseChainRulesCoreExt = "ChainRulesCore"
    SciMLBasePartialFunctionsExt = "PartialFunctions"
    SciMLBasePyCallExt = "PyCall"
    SciMLBasePythonCallExt = "PythonCall"
    SciMLBaseRCallExt = "RCall"
    SciMLBaseZygoteExt = "Zygote"

    [deps.SciMLBase.weakdeps]
    ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    PartialFunctions = "570af359-4316-4cb7-8c74-252c00c2016b"
    PyCall = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0"
    PythonCall = "6099a3de-0909-46bc-b1f4-468b9a2dfc0d"
    RCall = "6f49c342-dc21-5d91-9882-a32aef131414"
    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"

[[deps.SciMLOperators]]
deps = ["ArrayInterface", "DocStringExtensions", "Lazy", "LinearAlgebra", "Setfield", "SparseArrays", "StaticArraysCore", "Tricks"]
git-tree-sha1 = "51ae235ff058a64815e0a2c34b1db7578a06813d"
uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
version = "0.3.7"

[[deps.Scratch]]
deps = ["Dates"]
git-tree-sha1 = "3bac05bc7e74a75fd9cba4295cde4045d9fe2386"
uuid = "6c6a2e73-6563-6170-7368-637461726353"
version = "1.2.1"

[[deps.Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

[[deps.Setfield]]
deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"]
git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac"
uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
version = "1.1.1"

[[deps.Showoff]]
deps = ["Dates", "Grisu"]
git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
version = "1.0.3"

[[deps.SimpleBufferStream]]
git-tree-sha1 = "874e8867b33a00e784c8a7e4b60afe9e037b74e1"
uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7"
version = "1.1.0"

[[deps.Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

[[deps.SortingAlgorithms]]
deps = ["DataStructures"]
git-tree-sha1 = "66e0a8e672a0bdfca2c3f5937efb8538b9ddc085"
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
version = "1.2.1"

[[deps.SparseArrays]]
deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

[[deps.Sparspak]]
deps = ["Libdl", "LinearAlgebra", "Logging", "OffsetArrays", "Printf", "SparseArrays", "Test"]
git-tree-sha1 = "342cf4b449c299d8d1ceaf00b7a49f4fbc7940e7"
uuid = "e56a9233-b9d6-4f03-8d0f-1825330902ac"
version = "0.3.9"

[[deps.SpecialFunctions]]
deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
git-tree-sha1 = "2f5d4697f21388cbe1ff299430dd169ef97d7e14"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "2.4.0"

    [deps.SpecialFunctions.extensions]
    SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"

    [deps.SpecialFunctions.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"

[[deps.Static]]
deps = ["IfElse"]
git-tree-sha1 = "f295e0a1da4ca425659c57441bcb59abb035a4bc"
uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
version = "0.8.8"

[[deps.StaticArrayInterface]]
deps = ["ArrayInterface", "Compat", "IfElse", "LinearAlgebra", "PrecompileTools", "Requires", "SparseArrays", "Static", "SuiteSparse"]
git-tree-sha1 = "5d66818a39bb04bf328e92bc933ec5b4ee88e436"
uuid = "0d7ed370-da01-4f52-bd93-41d350b8b718"
version = "1.5.0"

    [deps.StaticArrayInterface.extensions]
    StaticArrayInterfaceOffsetArraysExt = "OffsetArrays"
    StaticArrayInterfaceStaticArraysExt = "StaticArrays"

    [deps.StaticArrayInterface.weakdeps]
    OffsetArrays = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"

[[deps.StaticArraysCore]]
git-tree-sha1 = "192954ef1208c7019899fbf8049e717f92959682"
uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
version = "1.4.3"

[[deps.Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
version = "1.9.0"

[[deps.StatsAPI]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "1ff449ad350c9c4cbc756624d6f8a8c3ef56d3ed"
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
version = "1.7.0"

[[deps.StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "5cf7606d6cef84b543b483848d4ae08ad9832b21"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.34.3"

[[deps.StatsFuns]]
deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
git-tree-sha1 = "cef0472124fab0695b58ca35a77c6fb942fdab8a"
uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
version = "1.3.1"

    [deps.StatsFuns.extensions]
    StatsFunsChainRulesCoreExt = "ChainRulesCore"
    StatsFunsInverseFunctionsExt = "InverseFunctions"

    [deps.StatsFuns.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"

[[deps.StrideArraysCore]]
deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface", "ThreadingUtilities"]
git-tree-sha1 = "d6415f66f3d89c615929af907fdc6a3e17af0d8c"
uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da"
version = "0.5.2"

[[deps.SuiteSparse]]
deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"

[[deps.SuiteSparse_jll]]
deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"]
uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
version = "5.10.1+6"

[[deps.SymbolicIndexingInterface]]
git-tree-sha1 = "be414bfd80c2c91197823890c66ef4b74f5bf5fe"
uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
version = "0.3.1"

[[deps.TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
version = "1.0.3"

[[deps.TableTraits]]
deps = ["IteratorInterfaceExtensions"]
git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
version = "1.0.1"

[[deps.Tables]]
deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "OrderedCollections", "TableTraits"]
git-tree-sha1 = "598cd7c1f68d1e205689b1c2fe65a9f85846f297"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.12.0"

[[deps.Tar]]
deps = ["ArgTools", "SHA"]
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
version = "1.10.0"

[[deps.TensorCore]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6"
uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50"
version = "0.1.1"

[[deps.Test]]
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[deps.ThreadingUtilities]]
deps = ["ManualMemory"]
git-tree-sha1 = "eda08f7e9818eb53661b3deb74e3159460dfbc27"
uuid = "8290d209-cae3-49c0-8002-c8c24d57dab5"
version = "0.5.2"

[[deps.TranscodingStreams]]
git-tree-sha1 = "e84b3a11b9bece70d14cce63406bbc79ed3464d2"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.11.2"

[[deps.TriangularSolve]]
deps = ["CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "LoopVectorization", "Polyester", "Static", "VectorizationBase"]
git-tree-sha1 = "fadebab77bf3ae041f77346dd1c290173da5a443"
uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf"
version = "0.1.20"

[[deps.Tricks]]
git-tree-sha1 = "7822b97e99a1672bfb1b49b668a6d46d58d8cbcb"
uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
version = "0.1.9"

[[deps.TruncatedStacktraces]]
deps = ["InteractiveUtils", "MacroTools", "Preferences"]
git-tree-sha1 = "ea3e54c2bdde39062abf5a9758a23735558705e1"
uuid = "781d530d-4396-4725-bb49-402e4bee1e77"
version = "1.4.0"

[[deps.URIs]]
git-tree-sha1 = "67db6cc7b3821e19ebe75791a9dd19c9b1188f2b"
uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
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"

[[deps.UnicodeFun]]
deps = ["REPL"]
git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
version = "0.4.1"

[[deps.Unitful]]
deps = ["Dates", "LinearAlgebra", "Random"]
git-tree-sha1 = "d95fe458f26209c66a187b1114df96fd70839efd"
uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
version = "1.21.0"

    [deps.Unitful.extensions]
    ConstructionBaseUnitfulExt = "ConstructionBase"
    InverseFunctionsUnitfulExt = "InverseFunctions"

    [deps.Unitful.weakdeps]
    ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"

[[deps.UnitfulLatexify]]
deps = ["LaTeXStrings", "Latexify", "Unitful"]
git-tree-sha1 = "975c354fcd5f7e1ddcc1f1a23e6e091d99e99bc8"
uuid = "45397f5d-5981-4c77-b2b3-fc36d6e9b728"
version = "1.6.4"

[[deps.Unzip]]
git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78"
uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
version = "0.2.0"

[[deps.VectorizationBase]]
deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static", "StaticArrayInterface"]
git-tree-sha1 = "7209df901e6ed7489fe9b7aa3e46fb788e15db85"
uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
version = "0.21.65"

[[deps.Vulkan_Loader_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Wayland_jll", "Xorg_libX11_jll", "Xorg_libXrandr_jll", "xkbcommon_jll"]
git-tree-sha1 = "2f0486047a07670caad3a81a075d2e518acc5c59"
uuid = "a44049a8-05dd-5a78-86c9-5fde0876e88c"
version = "1.3.243+0"

[[deps.Wayland_jll]]
deps = ["Artifacts", "EpollShim_jll", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "7558e29847e99bc3f04d6569e82d0f5c54460703"
uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
version = "1.21.0+1"

[[deps.Wayland_protocols_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "93f43ab61b16ddfb2fd3bb13b3ce241cafb0e6c9"
uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
version = "1.31.0+0"

[[deps.XML2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
git-tree-sha1 = "1165b0443d0eca63ac1e32b8c0eb69ed2f4f8127"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.13.3+0"

[[deps.XSLT_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "XML2_jll", "Zlib_jll"]
git-tree-sha1 = "a54ee957f4c86b526460a720dbc882fa5edcbefc"
uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
version = "1.1.41+0"

[[deps.XZ_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "ac88fb95ae6447c8dda6a5503f3bafd496ae8632"
uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800"
version = "5.4.6+0"

[[deps.Xorg_libICE_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "326b4fea307b0b39892b3e85fa451692eda8d46c"
uuid = "f67eecfb-183a-506d-b269-f58e52b52d7c"
version = "1.1.1+0"

[[deps.Xorg_libSM_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libICE_jll"]
git-tree-sha1 = "3796722887072218eabafb494a13c963209754ce"
uuid = "c834827a-8449-5923-a945-d239c165b7dd"
version = "1.2.4+0"

[[deps.Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "afead5aba5aa507ad5a3bf01f58f82c8d1403495"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.8.6+0"

[[deps.Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.11+0"

[[deps.Xorg_libXcursor_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
version = "1.2.0+4"

[[deps.Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.4+0"

[[deps.Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "d2d1a5c49fae4ba39983f63de6afcbea47194e85"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.6+0"

[[deps.Xorg_libXfixes_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
version = "5.0.3+4"

[[deps.Xorg_libXi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
version = "1.7.10+4"

[[deps.Xorg_libXinerama_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
version = "1.1.4+4"

[[deps.Xorg_libXrandr_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631"
uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
version = "1.5.2+4"

[[deps.Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "47e45cd78224c53109495b3e324df0c37bb61fbe"
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
version = "0.9.11+0"

[[deps.Xorg_libpthread_stubs_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.1+0"

[[deps.Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
git-tree-sha1 = "bcd466676fef0878338c61e655629fa7bbc69d8e"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.17.0+0"

[[deps.Xorg_libxkbfile_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "730eeca102434283c50ccf7d1ecdadf521a765a4"
uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
version = "1.1.2+0"

[[deps.Xorg_xcb_util_cursor_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_jll", "Xorg_xcb_util_renderutil_jll"]
git-tree-sha1 = "04341cb870f29dcd5e39055f895c39d016e18ccd"
uuid = "e920d4aa-a673-5f3a-b3d7-f755a4d47c43"
version = "0.1.4+0"

[[deps.Xorg_xcb_util_image_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97"
uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b"
version = "0.4.0+1"

[[deps.Xorg_xcb_util_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"]
git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1"
uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5"
version = "0.4.0+1"

[[deps.Xorg_xcb_util_keysyms_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00"
uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7"
version = "0.4.0+1"

[[deps.Xorg_xcb_util_renderutil_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e"
uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e"
version = "0.3.9+1"

[[deps.Xorg_xcb_util_wm_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67"
uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361"
version = "0.4.1+1"

[[deps.Xorg_xkbcomp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "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 = "e678132f07ddb5bfa46857f0d7620fb9be675d3b"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.6+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"]
git-tree-sha1 = "936081b536ae4aa65415d869287d43ef3cb576b2"
uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
version = "0.53.0+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"]
git-tree-sha1 = "1827acba325fdcdf1d2647fc8d5301dd9ba43a9d"
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
version = "3.9.0+0"

[[deps.libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "e17c115d55c5fbb7e52ebedb427a0dca79d4484e"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.15.2+0"

[[deps.libblastrampoline_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
version = "5.8.0+0"

[[deps.libdecor_jll]]
deps = ["Artifacts", "Dbus_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pango_jll", "Wayland_jll", "xkbcommon_jll"]
git-tree-sha1 = "9bf7903af251d2050b467f76bdbe57ce541f7f4f"
uuid = "1183f4f0-6f2a-5f1a-908b-139f9cdfea6f"
version = "0.2.2+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"]
git-tree-sha1 = "8a22cf860a7d27e4f3498a0fe0811a7957badb38"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.3+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", "Zlib_jll"]
git-tree-sha1 = "d7015d2e18a5fd9a4f47de711837e980519781a4"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.43+1"

[[deps.libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "490376214c4721cdaca654041f635213c6165cb3"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+2"

[[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.oneTBB_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "7d0ea0f4895ef2f5cb83645fa689e52cb55cf493"
uuid = "1317d2d5-d96f-522e-a858-c73665f53c3e"
version = "2021.12.0+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:
# ╟─5033b71b-2669-4618-b3cc-f332f4f97332
# ╟─49d6f3fa-9ed0-4ddd-88ab-7fd93976c22d
# ╟─b3e6c84e-3a99-4d39-9403-faa3d1461688
# ╟─68436251-9aab-4331-aea9-2b39c58fe6e1
# ╟─c8266d34-24af-46f9-810e-9517bb424bf9
# ╟─1152b0cf-42cf-4e72-88bd-b2044e327641
# ╟─48bf4d0e-2165-43fa-864a-b99e1baa2b86
# ╟─897afa4d-1799-48f7-8af9-5f682095c0c5
# ╟─3a0c8be2-f9a2-4b58-84ad-012fffa5530a
# ╟─c7b899d4-ac4f-488b-a961-99c8e078edde
# ╟─75aff9e0-8106-4ca9-9b44-aeb4931f8ffb
# ╟─37f3e868-6f97-4581-a438-9192fc6b4305
# ╟─d875ab2c-bba3-4724-9735-15ed95f69c34
# ╟─a96cc9b8-c17d-4fbe-bb3e-269f43a153b6
# ╟─b3f41b1e-95bf-4f7c-b28b-40d741b601e1
# ╟─a189254a-0a00-4613-8865-48c1b2b98868
# ╟─4ec8a1c4-24f7-4ce5-bf18-bb453fe2db2f
# ╠═406ba98f-998b-4046-97ce-af8385657445
# ╟─2d439eea-6c1f-4ac2-b220-dcdee31fbca0
# ╠═6fe8f2e6-2813-4786-bb6f-cd4a1c142c2b
# ╠═3c1b2e64-7dbb-4b93-bbac-1df253461808
# ╠═a2c842ad-32a1-4277-b70b-458c7abb6607
# ╠═1146a11b-3a5c-468c-ae14-e48d5e74d72e
# ╠═c1870662-8f90-41a3-9860-e772b88acfe7
# ╟─57a95b94-adea-4357-91c1-413497a4ad98
# ╠═75eeea42-ee5b-4346-ba16-d264efcbe5fc
# ╠═c8fc7cb2-c119-44ec-b14a-9a1e9c708d52
# ╠═f5e2d6f2-0521-4e4b-98b3-ca0c37fbe07e
# ╠═568fa09f-49e6-4ee9-b605-e65e454dd85e
# ╠═b1b6c6c9-70fd-44b3-8e94-64aa8d77ee43
# ╠═a8dff274-cb44-4589-8dd8-cb1f9ac99c5d
# ╟─825a655f-6a79-48a5-bdc5-c6c595b1e58e
# ╠═a722de1e-5b45-4d94-a115-f36a48f06529
# ╠═5350d7b2-06ae-4358-82e3-1668e9e54b27
# ╠═cdb906f2-1f8b-48b6-b31e-6abd696619cf
# ╠═5e54984b-d14a-4552-a819-2ac27e8767d0
# ╟─4d5b032f-f212-4dcf-8d6b-88768707202c
# ╠═e46d02f8-e7ba-4730-b30a-b1b438b80ef5
# ╠═e8434f4f-e77d-4dce-bbb7-87627d0cd169
# ╠═c3823715-e2a7-4b11-8ae5-147da32612c3
# ╟─a7fbd697-c199-41f1-93bc-26af3c233290
# ╠═6afb29d8-5da2-454e-bd53-6c154b028e15
# ╠═d8aba8d6-6244-4e68-8166-7388e21a8fe9
# ╠═0cf9a0ac-c154-43fb-858c-8f093a8fc6b6
# ╠═af7dc5ec-a8f8-4dbc-ba19-c2281ad8bdf4
# ╠═c8d0cdc9-14e2-4515-b5bc-c49c4c4c5f9b
# ╠═a3a7eea1-0a94-4bde-af0e-1e1e15643d54
# ╟─627d6189-2e49-4001-8a75-476bcb159879
# ╠═053da9d8-6f9c-11ef-0d48-8fd9479652f4
# ╠═fee26253-3fd6-4211-a580-42ffe986937c
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002