julia_interactive_1.jl

### A Pluto.jl notebook ###
# v0.19.42

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

# ╔═╡ 4904a74d-ec8c-4d1d-aab9-fb89f16d4bd9
# ╠═╡ show_logs = false
using PythonCall

# ╔═╡ bb2d7aa2-f244-4163-8b21-6dd367c465d5
begin
using CondaPkg
	CondaPkg.add("numpy")
end

# ╔═╡ 83ed505e-21f8-11ee-1d5c-0f27e8691b73
begin
	using PlutoTeachingTools # showing Question-Boxes
	using GR # plotting
	using PlutoUI # Sliders
end

# ╔═╡ 5b23e82b-04e3-4fcf-ac7a-2624a8f2112b
md"""
# The Lorenz Function
Interactive get-to-know-julia notebook for the **2024 Lab Retreat**

Author: [Benedikt Ehinger](www.s-ccs.de)

---
"""

# ╔═╡ 7a6668e7-b619-4f6d-9ff6-9f1d4128954c
Markdown.MD(Markdown.Admonition("warning", "Where to start",[md""" What follows is some code that you could read/inspect, but mostly you can ignore it for the exercises at hand. 

Start at **Task 1** """]))

# ╔═╡ 4d4685dc-5e45-4893-8a26-3d553cff3bc8
function lorenz_step(state,fixed,Δt)
    x, y, z = state   # current state
	σ, ρ, β = fixed   # current coefficients
    
    dx = σ*(y-x)
    dy = x*(ρ-z) - y
    dz = x*y - β*z
	
	return [x + Δt*dx,
			y + Δt*dy,
			z + Δt*dz] # return the new state
end;

# ╔═╡ 10ab9257-3073-4f20-924b-29b2990e32a6
aside(tip(md"""
This function allocates a new array everytime it updates - it is thus slower than it could be. Be we will optimize it later in Task 4.
"""),v_offset=-250)

# ╔═╡ 869c811e-bd7a-485e-bac4-4cf0006daeab
function lorenz(fixed,Δt,n)
	state0 = [1.0, 0.0, 0.0] # initial state
	res = Array{Float64}(undef,(3,n+1)) # initialize an Array to save things
	res[:,1] .= state0 # assign the initial state
	
	for t in 1:n
		res[:,t+1] = lorenz_step(res[:,t],fixed,Δt)
	end

	# Lorenz wants to escape often, we have to check to not get weird error for weird parameters
	nans = isnan.(res) .| isinf.(res) .| (res.>1e3)
	any(nans) ? @warn("Lorenz escaped - the dynamic systen created a NaN inf value - choose different parameters") : ""
	
	return res[:,.!any(nans,dims=1)[1,:]][:,1:end-1]
end;

# ╔═╡ d22214ac-838b-4e69-8b46-dc62985f959d
begin
Δt = 0.05
Tmax = 100
tlist = range(0,Tmax,step=Δt)
end;

# ╔═╡ 97a8b38a-dc20-450a-b574-e3e9d4c87e57
aside(tip(md"we use GR.jl here instead of Makie.jl, due to RAM limitations when 20+ users run this notebook. Makie.jl generates a little bit more beautiful plots ;)"),v_offset=-540)

# ╔═╡ d5df570b-19c8-46e6-acd8-f70cf20f9eac
md"""
# Task 1: Changing parameters

Using the `Pluto.jl` reactive backend, changing a value in some cell will automatically update all other cells - including plots.
"""

# ╔═╡ a7302ba3-5620-43e6-aee1-abc46393c265
question_box(md"Change one of the values below of the `parameters` Vector - the plot should immediately update")

# ╔═╡ 3fdc5e18-c563-499d-bc7a-4ce8200b4d3f
parameters = [5,7,7/8] # in the lorenz_step-function: [σ, ρ, β]

# ╔═╡ da95a4dd-c814-4c6c-b06f-61d34240ea55
res = lorenz(parameters,Δt,length(tlist))

# ╔═╡ c7114d34-2e1e-441e-b2cb-31b37dcf7f15
begin
	f = plot(res[1,:],res[2,:],res[3,:])
end

# ╔═╡ afb15a36-e6c5-4be9-aa8d-beecdb4a70f0
f # replot for convenience

# ╔═╡ e4bac073-56b3-4379-bcf8-adbd3d246c26
PlutoTeachingTools.aside

# ╔═╡ 49342d6f-a24a-42aa-9f90-dfff82ad35c2
md"""
# Task 2: Sliders
We can use Sliders instead of fixing the parameters. 

A slider is defined like this:
```julia
@bind yourVarName PlutoUI.Slider(from:to) 
```

If you want to specify the step-size just use `from:step:to` or `range(from,stop=to,step=x)`
"""



# ╔═╡ 4856cd8b-26de-4577-ac1a-497aef8d1931
question_box(md"""Generate three sliders for the three parameters in `parameters`. Remember to replace your chosen variablenames in the `parameters` vector itself!
""")

# ╔═╡ e580399e-bfed-414b-8437-48c1f5d6afb3
tip(md"""
You can get the fancy `σ`, `ρ`, `β` characters by typing e.g. `\beta` + `TAB`
""")

# ╔═╡ 394ea92a-b487-4c39-a377-e9e814bc946b
# add slider 1

# ╔═╡ f9d3ca6f-bb83-41fa-9d85-24d0197a72bf
# add slider 2

# ╔═╡ a8908646-6aa9-4774-8257-054370583fcb
# add slider 3

# ╔═╡ 09f20ad4-3567-4de7-921a-7bd05048c99d
f # replot for your convenience

# ╔═╡ e911dd57-bedd-49a9-adcf-ec634e668e6f
tip(Foldable("You want more beautiful sliders?",md"""
You can specify default values + show the values via
```julia
@bind var PlutoUI.Slider(0:10,show_value=true,default=defaultvalue)
```

If you  want to be super fancy, you can put all this in a nice table, providing labels to your sliders:
```
md\"\"\"
|description|slider|
|---|---|
|param1| $(@bind var PlutoUI.Slider(0:10,show_value=true,default=defaultvalue))
\"\"\"
```
**Tip:** the `$(juliacode)` syntax runs the inline `juliacode` and 'interpolates' the output back into the string/output format """))

# ╔═╡ aea4a4c9-3c02-4436-8d11-21140264c807
Markdown.MD(Markdown.Admonition("tip","Bonus-Question",[md"""
If you have time, provide some `PlutoUI.CheckBox` or `PlutoUI.Select` elements, to change which dimension is plotted on the x/y axis
"""]))


# ╔═╡ c5791eb1-62e4-47a0-bdc1-c3cb2066bd90
md"""
# Task 3: Compare Julia & Python
"""

# ╔═╡ a69b3724-353f-4639-81f4-0875c4203e12
np = PythonCall.pyimport("numpy");

# ╔═╡ b2137820-d51c-4a9f-8b5a-73f3f7f6cb1b
begin
	# this is not exactly how'd you use e.g. numpy from python - because you could just use the package "as if" it would be a julia package
python_results = pyexec(@NamedTuple{xyzs},"""
import numpy as np
def lorenz(xyz,fixed):
    import numpy as np
    s,r,b = (fixed[0],fixed[1],fixed[2])
    x, y, z = xyz
    x_dot = s*(y - x)
    y_dot = r*x - y - x*z
    z_dot = x*y - b*z
    return np.array([x_dot, y_dot, z_dot])


xyzs = np.empty((num_steps + 1, 3))  # Need one more for the initial values
xyzs[0] = (1.0, 0., 0.)  # Set initial values
# Step through "time", calculating the partial derivatives at the current point
# and using them to estimate the next point
for i in range(num_steps):
    xyzs[i + 1] = xyzs[i] + lorenz(xyzs[i],fixed) * dt

""",Main,(;fixed=parameters,num_steps=length(tlist)-1,dt=Δt))
	python_results = collect(pyconvert(Array,python_results.xyzs)')
end

# ╔═╡ 9ec4822e-8d7b-4948-afe9-228ca2d924ae
julia_results = lorenz(parameters,Δt,length(tlist))

# ╔═╡ ab1eabac-cd53-49a5-80db-edf01124071a
question_box(md"""
Check that the solution is actually equal, using `==`
""")

# ╔═╡ 5b309790-4c82-447d-b910-d5a469e52211
# Program here - Are they equal?

# ╔═╡ 0734c0d9-06c6-445f-bbda-3b8294e89cc6
# put your code here

# ╔═╡ f2094213-2243-4978-824a-37e1987b9631
md"""
# Task 4: Timing is everything
"""

# ╔═╡ 4019ad17-50b0-4983-b375-e237219b99e0
question_box(md""" Add the `@time` macro infront of the python & julia code to evaluate their timing. 

**Note:** In principle, you should use `BenchmarkTools.@btime` or `BenchmarkTools.@benchmark` which runs the function many times and takes the fastest (`@btime`) or shows a histogram (@benchmark) - but who has time for that?
""")

# ╔═╡ 73af4c85-8170-4404-aac7-9d45e698769a
md"""
# Task 5: Improve the speed!
If you are super fast with everything, some optional ideas:
"""

# ╔═╡ 88a8cdfb-5300-41c6-a9ba-2da53d37ee91
question_box(md"""**Speeding up Python**

Can you speed up the python code to match Julias code?
""")

# ╔═╡ 003214b4-e62c-432a-a9a7-9b580c460de4
question_box(md"""**Speeding up Julia**

If we can replace the for loop + Lorenz-function with something like
```julia
for col in eachcol(res)
		col .= lorenz_step!(state0,fixed,Δt)
end
```
We have some further optimization potential.

Note the `lorenz_step!` exclamationmark. Which means, that now the lorenz_step function has to also update the `state0` array with the `.=` syntax inside the function (and also return a copy of the state to be saved in `col`)



""")

# ╔═╡ ce86adc0-f10d-47c9-9436-a6b20c2d496e
md"""
----
"""

# ╔═╡ 02172a1a-ac29-4081-886d-a2daeab0d29d
md"""
What follows here is just some setup code - interesting maybe to see how Python-Packages can be added in the `PythonCall` package
"""

# ╔═╡ 609633d1-2b1b-4834-a1c3-84ffe11bc946
TableOfContents()

# ╔═╡ 8a224690-723a-4af2-8733-8a0a83f7812b
PlutoTeachingTools.hint(title::String,str) = Markdown.MD(Markdown.Admonition("hint",title,[str]))

# ╔═╡ 003cd0f8-b7cb-4770-9135-df5058b52a09
hint("Slider-Solution",md"""
```julia
# for one slider:
@bind σ PlutoUI.Slider(1:0.1:10)
parameters= [σ, 12/3,4]
```
""")

# ╔═╡ 21ecad53-8987-44c2-81d8-6c6374dcd073
hint("Hover to see the answer and follow up task",md"""
They are not!

**Task**: Calculate and plot the elementwise differences in one dimension. Use `plot`,`.-`(elementwise subtraction) and `x[1,:]` to access one dimension

""")

# ╔═╡ 11280da3-437a-45a6-bc6f-92ca2d03a98b
hint("Hint",md"""
Ooops - I don't know Python well enough to actually speed this up, sorry. Be sure to share your speed improvements with me!
""")

# ╔═╡ 250144dd-9034-4c05-9316-7bb89df429bf
hint("Solution",md"""
Make use of the following function
```julia
function lorenz_step!(state,fixed,Δt)
    x, y, z = state   #variables are part of vector array u
	σ, ρ, β = fixed    #coefficients are part of vector array p
    
    dx = σ*(y-x)
    dy = x*(ρ-z) - y
    dz = x*y - β*z
	state .= x + Δt*dx, y + Δt*dy, z + Δt*dz # in place update the state
	return copy(state) # also return a copy of the state
end
```
""")

# ╔═╡ 49576c5c-15d6-4c56-8190-f2ce022e6233
hint("Bonus: For the super-curious minded", md"""
Somewhat surprising (to me) this code:
```julia
res = hcat([lorenz_step!(state0,fixed,Δt) for s in tlist]...)
```
has the same fast performance as the loop!
""")

# ╔═╡ 00000000-0000-0000-0000-000000000001
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[[deps.Gettext_jll]]
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[[deps.Glib_jll]]
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[[deps.HarfBuzz_jll]]
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version = "1.1.0"

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

[[deps.SparseArrays]]
deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
version = "1.10.0"

[[deps.Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
version = "1.10.0"

[[deps.StructTypes]]
deps = ["Dates", "UUIDs"]
git-tree-sha1 = "ca4bccb03acf9faaf4137a9abc1881ed1841aa70"
uuid = "856f2bd8-1eba-4b0a-8007-ebc267875bd4"
version = "1.10.0"

[[deps.SuiteSparse_jll]]
deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
version = "7.2.1+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", "LinearAlgebra", "OrderedCollections", "TableTraits"]
git-tree-sha1 = "cb76cf677714c095e535e3501ac7954732aeea2d"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.11.1"

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

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

[[deps.TranscodingStreams]]
git-tree-sha1 = "60df3f8126263c0d6b357b9a1017bb94f53e3582"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.11.0"
weakdeps = ["Random", "Test"]

    [deps.TranscodingStreams.extensions]
    TestExt = ["Test", "Random"]

[[deps.Tricks]]
git-tree-sha1 = "eae1bb484cd63b36999ee58be2de6c178105112f"
uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
version = "0.1.8"

[[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.Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"

[[deps.UnsafePointers]]
git-tree-sha1 = "c81331b3b2e60a982be57c046ec91f599ede674a"
uuid = "e17b2a0c-0bdf-430a-bd0c-3a23cae4ff39"
version = "1.0.0"

[[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 = "d9717ce3518dc68a99e6b96300813760d887a01d"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.13.1+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+1"

[[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.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", "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+1"

[[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", "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 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+1"

[[deps.micromamba_jll]]
deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl"]
git-tree-sha1 = "b4a5a3943078f9fd11ae0b5ab1bdbf7718617945"
uuid = "f8abcde7-e9b7-5caa-b8af-a437887ae8e4"
version = "1.5.8+0"

[[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 = "1.52.0+1"

[[deps.p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
version = "17.4.0+2"

[[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:
# ╟─5b23e82b-04e3-4fcf-ac7a-2624a8f2112b
# ╟─7a6668e7-b619-4f6d-9ff6-9f1d4128954c
# ╠═4d4685dc-5e45-4893-8a26-3d553cff3bc8
# ╟─10ab9257-3073-4f20-924b-29b2990e32a6
# ╠═869c811e-bd7a-485e-bac4-4cf0006daeab
# ╠═d22214ac-838b-4e69-8b46-dc62985f959d
# ╠═da95a4dd-c814-4c6c-b06f-61d34240ea55
# ╠═c7114d34-2e1e-441e-b2cb-31b37dcf7f15
# ╟─97a8b38a-dc20-450a-b574-e3e9d4c87e57
# ╟─d5df570b-19c8-46e6-acd8-f70cf20f9eac
# ╟─a7302ba3-5620-43e6-aee1-abc46393c265
# ╠═3fdc5e18-c563-499d-bc7a-4ce8200b4d3f
# ╠═afb15a36-e6c5-4be9-aa8d-beecdb4a70f0
# ╠═e4bac073-56b3-4379-bcf8-adbd3d246c26
# ╟─49342d6f-a24a-42aa-9f90-dfff82ad35c2
# ╟─4856cd8b-26de-4577-ac1a-497aef8d1931
# ╟─e580399e-bfed-414b-8437-48c1f5d6afb3
# ╠═394ea92a-b487-4c39-a377-e9e814bc946b
# ╠═f9d3ca6f-bb83-41fa-9d85-24d0197a72bf
# ╠═a8908646-6aa9-4774-8257-054370583fcb
# ╠═09f20ad4-3567-4de7-921a-7bd05048c99d
# ╟─e911dd57-bedd-49a9-adcf-ec634e668e6f
# ╟─003cd0f8-b7cb-4770-9135-df5058b52a09
# ╟─aea4a4c9-3c02-4436-8d11-21140264c807
# ╟─c5791eb1-62e4-47a0-bdc1-c3cb2066bd90
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