lecture_01_getting_started_with_julia.jl

### A Pluto.jl notebook ###
# v0.20.18

#> [frontmatter]
#> title = "Lecture 01"

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)
    #! format: off
    return 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
    #! format: on
end

# ╔═╡ 7456b574-9209-11f0-3032-0dde708d4d9c
begin
	using PlutoUI, PlutoTeachingTools
	using PlutoUI: Slider
end

# ╔═╡ 82443a4c-a04a-4a4f-9448-a61de50fbaa7
begin
	using CairoMakie
	set_theme!(theme_latexfonts();
			   fontsize = 16,
			   Lines = (linewidth = 2,),
			   markersize = 16)
end

# ╔═╡ cc969ec0-db42-44c2-bd35-76dd61caf74f
ChooseDisplayMode()

# ╔═╡ 8cb2a5c5-2b06-4435-a914-c8d946aa2066
md"""
# Introduction
"""

# ╔═╡ 4c1e856e-d27c-441d-9b78-e64ad899a2a7
md"""
## What's Julia? 🟢 🟣 🔴

Julia is a modern, dynamic, general-purpose, compiled programming language.
It's interactive ("like Python"), can be used in a REPL or notebooks, like Jupyter (it's the "Ju") or Pluto (this one🎈).
Julia has a runtime which includes a just-in-time (JIT) compiler and a garbage collector (GC), for automatic memory management.

Julia is mainly used for technical computing, and addresses a gap in the programming language landscape for numerical computing.


Main paradigm of Julia is multiple dispatch, what functions do depend on type and number of _all_ arguments.
"""

# ╔═╡ 921e0b94-c134-4309-bc40-f5dad807ca12


# ╔═╡ d2979318-5ae9-424c-912a-b53b267d903b
md"""
## Why Julia? 😍

* Explorable & Understandable
* Composability thanks to multiple dispatch
* User-defined types are as fast and compact as built-ins
* Code that is close to the mathematics
* No need to switch languages for performance...
* ...but you can still call C-like shared libraries with simple Foreign Function Interface (FFI) if you want to
* MIT licensed: free and open source
"""

# ╔═╡ 5d13ced9-4d60-4e34-abfd-91a167d6ff1a
md"""
## Getting started with Julia

!!! info 
    [Modern Julia Workflows](https://modernjuliaworkflows.org/) is an excellent resource to get started with. 

#### Installation

Use `juliaup`
```shell
curl -fsSL https://install.julialang.org | sh
```

##### Resources

- Modern Julia Workflows: [https://modernjuliaworkflows.org](https://modernjuliaworkflows.org)
- Discourse: [https://discourse.julialang.org](https://discourse.julialang.org)
- Documentation: [https://docs.julialang.org](https://docs.julialang.org)
- Community Calendar: [https://julialang.org/community/#events](https://julialang.org/community/#events)

"""

# ╔═╡ 98599444-3018-40ad-a9bc-fd62a14de8d5
md"""
## A brief introduction to Julia

We will use [Makie](https://makie.org) for plotting throughout this workshop.
"""

# ╔═╡ fd7657eb-5cda-4bcc-ab6d-1aee78f7ff30
md"""
### The Newton method in 1D
based of https://featured.plutojl.org/computational-thinking/newton.html
"""

# ╔═╡ 79d228a3-f74b-4447-af35-a8d982c16a0d
md"""
We would like to solve equations like $f(x) = g(x)$. 
We rewrite that by moving all the terms to one side of the equation so that we can write $h(x) = 0$, with $h(x) := f(x) - g(x)$.

A point $x^*$ such that $h(x^*) = 0$ is called a **root** or **zero** of $h$.

The Newton method finds zeros, and hence solves the original equation.
"""

# ╔═╡ eef04206-4ecb-4e60-b991-ebdab43137d3
md"""
The idea of the Newton method is to *follow the direction in which the function is pointing*! We do this by building a **tangent line** at the current position and following that instead, until it hits the $x$-axis.

Let's look at that visually:
"""

# ╔═╡ 05d40f48-4961-4529-8aaf-ce56693c0bf1
md"""
n = $(@bind n2 Slider(0:10, show_value=true, default=1))
"""

# ╔═╡ 1a50208f-b6a6-4961-b377-7285a7f461ee
md"""
x₀ = $(@bind x02 Slider(-10:10, show_value=true, default=6))
"""

# ╔═╡ 3f114de8-21f2-4dc1-89d6-ce165fbc3b30
md"""
n = $(@bind n Slider(0:10, show_value=true, default=1))
"""

# ╔═╡ 23023b59-2b03-456c-aed8-931242fbaf4e
md"""
x₀ = $(@bind x0 Slider(-10:10, show_value=true, default=6))
"""

# ╔═╡ 575d2e6d-3921-47c6-90f7-67e008e430f8
import ForwardDiff

# ╔═╡ b5c59796-7d13-40da-8631-1d61e5111ee9
md"""
#### Julia implementation
"""

# ╔═╡ 7f9ffda9-48c2-45f4-bb3f-d995d7947224
md"""
```julia
function newton(f, f′, n, x0)
    for i in 1:n
		x0 -= f(x0) / f′(x0)
	end
	return x0
end
```
"""

# ╔═╡ 452624bb-2127-4776-99b1-e8cf8b726b5c
md"""
!!! note "Aside: Automatic Differentiation"
    Julia has a rich set of automatic differentiation libraries!
"""

# ╔═╡ 0ed388d6-6bc0-4e56-aadd-65d34ac89043
md"""
#### With plotting
"""

# ╔═╡ 24d62e50-babd-4c04-9827-ed5c6cbbfd45
function newton(f, f′, n, x_range, x0, ymin=-10, ymax=10)
	fig = Figure(size=(400, 300))
	ax = Axis(fig[1,1])
	ylims!(ax, ymin, ymax)
	
	lines!(ax, x_range, f)

	hlines!(ax, 0.0, color=:magenta, linestyle=:dash, linewidth=3)
	scatter!(ax, x0, 0, color=:green)
	annotation!(ax, x0, -5, text=L"x_0", fontsize=14)

	straight(x0, y0, x, m) = y0 + m * (x - x0)
	
	for i in 1:n
		lines!(ax, [x0, x0], [0, f(x0)], color=:gray, alpha=0.5)
		scatter!(ax, x0, f(x0), color=:red)
		
		m = f′(x0)

		lines!(ax, x_range, [straight(x0, f(x0), x, m) for x in x_range], 		  color=:blue, alpha=0.5, linestyle=:dash, linewidth=2)

		x1 = x0 - f(x0) / m

		scatter!(ax, x1, 0, color = :green)
		annotation!(ax, x1, -5, text=L"x_%$i", fontsize=14) 
		
		x0 = x1

	end
	fig
end

# ╔═╡ c75d45ba-623c-4a2a-bb2d-c39757d73942
let
	f(x) = x^2 - 2
	f′(x) = 2x

	newton(f, f′, n2, -1:0.01:10, x02, -10, 70)
end

# ╔═╡ d553daed-a885-4e3c-876c-fa3f3693be44
let
	f(x) = 0.2x^3 - 4x + 1
	f′(x) = ForwardDiff.derivative(f, x)
	
	newton(f, f′, n, -10:0.01:10, x0, -10, 70)
end

# ╔═╡ ac8d7513-6fa9-46b9-94e1-a37e97af7f62
md"""
# Reproducibility

Two questions:

1. Does my code **execute** on another computer
    - Can someone else do it without my intervention
2. Do we calculate the same results? (maybe that's also portability)
"""

# ╔═╡ 3dc2bb67-15f0-4c86-9a1e-55e769c303a8
md"""
Should be easy right?

```sh
git clone https://github.com/vchuravy/FancyProject
cd FancyProject
julia run_script.jl
```

What can go wrong? 
- What version of Julia did I use?
- What Julia packages dig I use?
- Which version of those Julia packages did I use?
    - Which version of all the transitive dependencies did I use?

"""

# ╔═╡ da16d22f-b316-4598-b941-ecee579e6619
md"""
## Package manager

One package manager, provided together with the language. 

- Native notion of "environment"
- `Project.toml`: Describes the dependencies and compatibilities
- `Manifest.toml`: Record of precise versions of all direct & indirect dependencies


"""

# ╔═╡ 158544c3-7400-473d-9ce4-5be05624f74d
md"""
```sh
> julia --project=example
```

```
(example) pkg> add BenchmarkTools
   Resolving package versions...
    Updating `~/example/Project.toml`
  [6e4b80f9] + BenchmarkTools v1.6.0
    Updating `~/example/Manifest.toml`
  [6e4b80f9] + BenchmarkTools v1.6.0
  [34da2185] + Compat v4.17.0
  [682c06a0] + JSON v0.21.4
    ...
```

```
(example) pkg> status
Status `~/example/Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
```

```
(example) pkg> rm BenchmarkTools
    Updating `~/example/Project.toml`
  [6e4b80f9] - BenchmarkTools v1.6.0
    Updating `~/example/Manifest.toml`
  [6e4b80f9] - BenchmarkTools v1.6.0
  [34da2185] - Compat v4.17.0
  [682c06a0] - JSON v0.21.4
```
"""

# ╔═╡ b33779bb-f644-42e4-9208-1f298656e27e
md"""
### Binaries included

!!! note
    Major usability pain points of modern languages is the integration of dependencies from C/C++, reliably across multiple operating systems.

Julia provides JLL packages that wrap binaries, and automatically install the **right** one for your current platforms.

Uses:

- Binarybuilder: (https://binarybuilder.org/)
  - Sandboxed cross-compiler
  - Encodes best practices

- Yggdrasil: (https://github.com/JuliaPackaging/Yggdrasil/)
  - Collection of build recipes
"""

# ╔═╡ f18462a7-b866-4aac-97e6-693949d5345d


# ╔═╡ 60210668-fa47-4d4c-9766-80d13351b696


# ╔═╡ b1a9914a-cb58-4f18-a7ef-8634607dea02
md"""
!!! warning "Exercise time!"
"""

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
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PlutoTeachingTools = "661c6b06-c737-4d37-b85c-46df65de6f69"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"

[compat]
CairoMakie = "~0.15.6"
ForwardDiff = "~1.2.0"
PlutoTeachingTools = "~0.4.5"
PlutoUI = "~0.7.71"
"""

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

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deps = ["UUIDs"]
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[[deps.Rmath]]
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[[deps.Rmath_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
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[[deps.RoundingEmulator]]
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[[deps.ShaderAbstractions]]
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[[deps.Showoff]]
deps = ["Dates", "Grisu"]
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[[deps.Sixel]]
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[[deps.SpecialFunctions]]
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weakdeps = ["ChainRulesCore"]

    [deps.SpecialFunctions.extensions]
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[[deps.StableRNGs]]
deps = ["Random"]
git-tree-sha1 = "95af145932c2ed859b63329952ce8d633719f091"
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version = "1.0.3"

[[deps.StackViews]]
deps = ["OffsetArrays"]
git-tree-sha1 = "be1cf4eb0ac528d96f5115b4ed80c26a8d8ae621"
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[[deps.StaticArrays]]
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uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "1.9.15"
weakdeps = ["ChainRulesCore", "Statistics"]

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[[deps.StaticArraysCore]]
git-tree-sha1 = "192954ef1208c7019899fbf8049e717f92959682"
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[[deps.Statistics]]
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[[deps.StatsAPI]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "9d72a13a3f4dd3795a195ac5a44d7d6ff5f552ff"
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
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[[deps.StatsBase]]
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git-tree-sha1 = "2c962245732371acd51700dbb268af311bddd719"
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[[deps.StatsFuns]]
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git-tree-sha1 = "8e45cecc66f3b42633b8ce14d431e8e57a3e242e"
uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
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    StatsFunsInverseFunctionsExt = "InverseFunctions"

[[deps.StructArrays]]
deps = ["ConstructionBase", "DataAPI", "Tables"]
git-tree-sha1 = "8ad2e38cbb812e29348719cc63580ec1dfeb9de4"
uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
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    StructArraysLinearAlgebraExt = "LinearAlgebra"
    StructArraysSparseArraysExt = "SparseArrays"
    StructArraysStaticArraysExt = "StaticArrays"

    [deps.StructArrays.weakdeps]
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[[deps.StyledStrings]]
uuid = "f489334b-da3d-4c2e-b8f0-e476e12c162b"
version = "1.11.0"

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

[[deps.SuiteSparse_jll]]
deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
version = "7.7.0+0"

[[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 = "f2c1efbc8f3a609aadf318094f8fc5204bdaf344"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.12.1"

[[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"
version = "1.11.0"

[[deps.TiffImages]]
deps = ["ColorTypes", "DataStructures", "DocStringExtensions", "FileIO", "FixedPointNumbers", "IndirectArrays", "Inflate", "Mmap", "OffsetArrays", "PkgVersion", "PrecompileTools", "ProgressMeter", "SIMD", "UUIDs"]
git-tree-sha1 = "98b9352a24cb6a2066f9ababcc6802de9aed8ad8"
uuid = "731e570b-9d59-4bfa-96dc-6df516fadf69"
version = "0.11.6"

[[deps.TranscodingStreams]]
git-tree-sha1 = "0c45878dcfdcfa8480052b6ab162cdd138781742"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.11.3"

[[deps.Tricks]]
git-tree-sha1 = "372b90fe551c019541fafc6ff034199dc19c8436"
uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
version = "0.1.12"

[[deps.TriplotBase]]
git-tree-sha1 = "4d4ed7f294cda19382ff7de4c137d24d16adc89b"
uuid = "981d1d27-644d-49a2-9326-4793e63143c3"
version = "0.1.0"

[[deps.URIs]]
git-tree-sha1 = "bef26fb046d031353ef97a82e3fdb6afe7f21b1a"
uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
version = "1.6.1"

[[deps.UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
version = "1.11.0"

[[deps.Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
version = "1.11.0"

[[deps.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 = "6258d453843c466d84c17a58732dda5deeb8d3af"
uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
version = "1.24.0"
weakdeps = ["ConstructionBase", "ForwardDiff", "InverseFunctions", "Printf"]

    [deps.Unitful.extensions]
    ConstructionBaseUnitfulExt = "ConstructionBase"
    ForwardDiffExt = "ForwardDiff"
    InverseFunctionsUnitfulExt = "InverseFunctions"
    PrintfExt = "Printf"

[[deps.WebP]]
deps = ["CEnum", "ColorTypes", "FileIO", "FixedPointNumbers", "ImageCore", "libwebp_jll"]
git-tree-sha1 = "aa1ca3c47f119fbdae8770c29820e5e6119b83f2"
uuid = "e3aaa7dc-3e4b-44e0-be63-ffb868ccd7c1"
version = "0.1.3"

[[deps.WoodburyMatrices]]
deps = ["LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "c1a7aa6219628fcd757dede0ca95e245c5cd9511"
uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
version = "1.0.0"

[[deps.XZ_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "fee71455b0aaa3440dfdd54a9a36ccef829be7d4"
uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800"
version = "5.8.1+0"

[[deps.Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "b5899b25d17bf1889d25906fb9deed5da0c15b3b"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.8.12+0"

[[deps.Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "aa1261ebbac3ccc8d16558ae6799524c450ed16b"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.13+0"

[[deps.Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "52858d64353db33a56e13c341d7bf44cd0d7b309"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.6+0"

[[deps.Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "a4c0ee07ad36bf8bbce1c3bb52d21fb1e0b987fb"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.7+0"

[[deps.Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "7ed9347888fac59a618302ee38216dd0379c480d"
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
version = "0.9.12+0"

[[deps.Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libXau_jll", "Xorg_libXdmcp_jll"]
git-tree-sha1 = "bfcaf7ec088eaba362093393fe11aa141fa15422"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.17.1+0"

[[deps.Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "a63799ff68005991f9d9491b6e95bd3478d783cb"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.6.0+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 = "446b23e73536f84e8037f5dce465e92275f6a308"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.7+1"

[[deps.isoband_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "51b5eeb3f98367157a7a12a1fb0aa5328946c03c"
uuid = "9a68df92-36a6-505f-a73e-abb412b6bfb4"
version = "0.2.3+0"

[[deps.libaom_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "4bba74fa59ab0755167ad24f98800fe5d727175b"
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
version = "3.12.1+0"

[[deps.libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "125eedcb0a4a0bba65b657251ce1d27c8714e9d6"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.17.4+0"

[[deps.libblastrampoline_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
version = "5.11.0+0"

[[deps.libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "646634dd19587a56ee2f1199563ec056c5f228df"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.4+0"

[[deps.libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "07b6a107d926093898e82b3b1db657ebe33134ec"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.50+0"

[[deps.libsixel_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "libpng_jll"]
git-tree-sha1 = "c1733e347283df07689d71d61e14be986e49e47a"
uuid = "075b6546-f08a-558a-be8f-8157d0f608a5"
version = "1.10.5+0"

[[deps.libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll"]
git-tree-sha1 = "11e1772e7f3cc987e9d3de991dd4f6b2602663a5"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.8+0"

[[deps.libwebp_jll]]
deps = ["Artifacts", "Giflib_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libglvnd_jll", "Libtiff_jll", "libpng_jll"]
git-tree-sha1 = "4e4282c4d846e11dce56d74fa8040130b7a95cb3"
uuid = "c5f90fcd-3b7e-5836-afba-fc50a0988cb2"
version = "1.6.0+0"

[[deps.nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
version = "1.59.0+0"

[[deps.oneTBB_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "d5a767a3bb77135a99e433afe0eb14cd7f6914c3"
uuid = "1317d2d5-d96f-522e-a858-c73665f53c3e"
version = "2022.0.0+0"

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

[[deps.x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "14cc7083fc6dff3cc44f2bc435ee96d06ed79aa7"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "10164.0.1+0"

[[deps.x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e7b67590c14d487e734dcb925924c5dc43ec85f3"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "4.1.0+0"
"""

# ╔═╡ Cell order:
# ╠═7456b574-9209-11f0-3032-0dde708d4d9c
# ╠═82443a4c-a04a-4a4f-9448-a61de50fbaa7
# ╟─cc969ec0-db42-44c2-bd35-76dd61caf74f
# ╟─8cb2a5c5-2b06-4435-a914-c8d946aa2066
# ╟─4c1e856e-d27c-441d-9b78-e64ad899a2a7
# ╟─921e0b94-c134-4309-bc40-f5dad807ca12
# ╟─d2979318-5ae9-424c-912a-b53b267d903b
# ╟─5d13ced9-4d60-4e34-abfd-91a167d6ff1a
# ╟─98599444-3018-40ad-a9bc-fd62a14de8d5
# ╟─fd7657eb-5cda-4bcc-ab6d-1aee78f7ff30
# ╟─79d228a3-f74b-4447-af35-a8d982c16a0d
# ╟─eef04206-4ecb-4e60-b991-ebdab43137d3
# ╟─05d40f48-4961-4529-8aaf-ce56693c0bf1
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