Julia_Course/day-5/main.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

# ╔═╡ 8b5cd80f-03bb-4d3b-a6ab-d53da2fa0cff
using Luxor

# ╔═╡ 7ea065f6-8478-40d0-a982-aa3a5d46103d
using QuadGK

# ╔═╡ dba8e2c8-d80f-4853-95ba-fa4576de042a
using Symbolics

# ╔═╡ ddc9b506-5df9-441e-afc9-b2bef1610779
using NaturallyUnitful

# ╔═╡ 5ad8a374-7c5b-457d-a4b4-e51d7261c206
using PeriodicTable

# ╔═╡ 76df78f1-00de-426d-adb3-431c71bd313a
using PrettyTables

# ╔═╡ e28c5e34-d801-4807-a784-6575f685c552
using JLD2

# ╔═╡ c7e76680-571e-427d-a564-8819df8b3750
# Oh, no, you found my secret! 😱
# Don't change this hidden cell!
begin
	using PlutoUI
	
	TableOfContents()
end

# ╔═╡ c7256818-f2ab-4f8a-be6f-1d2c97dca981
md"""
# Structs
Julia as a functional language does not have classes like in object oriented languages. Instead, Julia has structs.

Using structs, you can define your own types. Structs use type composition. This means that you combine types into a new one.

In general, type annotations DO NOT lead to any performance boosts in Julia. Structs build an **exception**! If you are writing a struct, you have to use type annotations with **concrete types** (not abstract)!
"""

# ╔═╡ 3e3e324d-5650-4f81-87cf-fb0f6f55d9d1
# You should not use a struct for a 2D vector. Use Julia's vectors! This is only for demonstration.
struct Vec2d
	x::Float64
	y::Float64
end

# ╔═╡ 2ab6f97f-8eed-4b86-9eb6-1de88e6c846d
# Define a variable with this type.
# The order of the arguments is important!
# The first argument sets the first field (here `x`).
# The second argument sets the second field and so on.
vec_2d = Vec2d(1.0, 2.0)

# ╔═╡ c9be354a-d5ef-4c94-ad2f-c2035dc9323f
# Access a field
vec_2d.x

# ╔═╡ 48d31ed6-c5b7-4510-9c49-de8a3a8a0fa7
vec_2d.y

# ╔═╡ 377a9100-efd8-479c-b9f6-68584c886800
# It is a new type
typeof(vec_2d)

# ╔═╡ 9940a716-1109-46f9-a88a-29a7a996412d
md"""
## Structs with abstract types
"""

# ╔═╡ 0e62a7b2-0636-4018-b005-0ae674fec45e
# Wow, we did reach infinity ♾️
# This is because of the limits of Float64
Vec2d(factorial(big(1000)), 2.0)

# ╔═╡ 70bb19db-3d97-4ae1-92d8-552574aa53c3
md"""
You might think this problem can be fixed by changing the type of the fields from `Float64` to something like `Real`. This will work, but it does harm performance!

**One more important performance tip: Don't use structs with abstract field types (or no types)!**
"""

# ╔═╡ 6046417c-460b-4b0c-8423-4d6c4c18731f
# Bad usage of abstract field types
struct BadVec2d
	x::Real
	y::Real
end

# ╔═╡ 3e21d34f-3758-427f-85c0-7c457f3f0904
# It does work, but it is bad for performance
bad_vec2d = BadVec2d(factorial(big(1000)), 2.0)

# ╔═╡ 4a07f5e3-2413-49c4-824c-b9c844695052
# The type does not say anything about what the fields type is.
typeof(bad_vec2d)

# ╔═╡ 9008b1c4-ad76-4d4f-b6c5-001a77543b97
# Better for performance:
# Use this syntax to let the type be derived from an abstract type
struct BetterVec2d{T<:Real}
	x::T
	y::T
end

# ╔═╡ 830dd737-4fdc-42c7-b105-d0622b055db1
# This works too and it is good for performance
big_vec2d = BetterVec2d(factorial(big(1000)), big(1))

# ╔═╡ f91b0c58-bc44-414a-b357-145d8c4339d2
# You see that a concrete type was chosen!
typeof(big_vec2d)

# ╔═╡ 169de33e-cff8-4419-be18-0f487c185ad7
# The concrete type of the fields is determined on construction
typeof(BetterVec2d(1.0, 2.0))

# ╔═╡ 3f1b8df9-104b-42c3-97ee-11782f9f744f
# This will not work. Both fields has to have the same type.
# BetterVec2d(1.0, 1)

# ╔═╡ a053b367-f7f2-440e-b9e0-4987b491c256
struct MixedVec2d{T1<:Real, T2<:Real}
	x::T1
	y::T2
end

# ╔═╡ 1eab61c9-74e1-4540-9750-6ec8448e4950
# This works
mixed_vec2d = MixedVec2d(1.0, 1)

# ╔═╡ 4a24f24b-d872-4cd8-bf76-49a0496e4ea6
# Two different concrete types for the fields
typeof(mixed_vec2d)

# ╔═╡ c9f68fcf-2b20-43b1-839a-59805357c6d3
md"""
## Mutation
By default, structs are not mutable!

If you want to be mutable, you have to use the keyword `mutable`.
"""

# ╔═╡ f8b27d41-448a-4329-986f-e65e0b3e77d6
# This will not work because the struct is immutable by default
# vec_2d.x = 42.0

# ╔═╡ da9e39a5-0ee3-4f6c-8cb1-abb3ebf3a01e
# Defining a mutable struct
mutable struct MutVec2d
	x::Float64
	y::Float64
end

# ╔═╡ d16ac12a-c772-4fee-a309-5b4a2708d08e
begin
	mut_vec = MutVec2d(1.0, 2.0)

	# Mutating a field
	mut_vec.x = 42.0
	
	mut_vec
end

# ╔═╡ d635a63b-44d9-4bfc-a873-ef537cdbdb09
md"""
## Structs from abstract types
To use the features of multiple dispatch, define an abstract type and derive structs from it.
"""

# ╔═╡ 10c380fd-80e6-4cb7-b50e-1a7998ec00c5
# Defining an abstract type
abstract type Student end

# ╔═╡ 58de483d-c2b5-4252-b6da-64bd8bfac1ac
# Defining a struct derived from the abstract type `Student`
struct MathStudent<:Student
	name::String
	hobby::String
end

# ╔═╡ 4024358d-f673-45f1-a12a-00a5554622e3
struct PhysicsStudent<:Student
	name::String
	hobby::String
	favorite_particle::String # Some additional field
end

# ╔═╡ b535fd1d-695d-49fb-8a6a-2f2f0053a6f6
# Define a function that works on all students
function print_name(student::Student)
	println(student.name)

	return
end

# ╔═╡ 63f32169-b98c-4212-bbd9-4c601266f209
# Define a method that works only with math students
function print_information(math_student::MathStudent)
	println("Math student: $(math_student.name)")
	println("Hobby: $(math_student.hobby)")

	return
end

# ╔═╡ cb49717b-0584-430e-a30c-c4d02cf55eb2
# Define a method that works only with physics students
function print_information(physics_student::PhysicsStudent)
	println("Physics student: $(physics_student.name)")
	println("Hobby: $(physics_student.hobby)")
	println("Favorite particle: $(physics_student.favorite_particle)")

	return
end

# ╔═╡ be428fea-fd34-4a08-94d2-c23ba0ecc586
math_student = MathStudent("Felix", "Proofing stuff")

# ╔═╡ da805692-8bf4-4eb5-a4ef-5a068c8a503b
physics_student = PhysicsStudent("Robert", "Using harmonic oscillators", "Photon")

# ╔═╡ 268904d5-6252-4ff7-9d8b-315b73736cac
print_name(math_student)

# ╔═╡ bc43e76c-3a9b-4f3f-9f88-28f2f7f868d1
print_name(physics_student)

# ╔═╡ 0a2619e4-9eed-4eb3-a411-c616ee840062
print_information(math_student)

# ╔═╡ bc8ef92b-1c68-4c9d-948a-6196dcd2b378
print_information(physics_student)

# ╔═╡ 06805ff8-f4bc-4779-baa9-2801a44407b6
md"""
## Constructors
You can either define new constructors for a struct or overwrite the default constructor.
"""

# ╔═╡ d1937187-15b0-46e7-9589-05d2349aa93a
# `begin` blocks are only needed in Pluto notebooks
begin
	struct ComputerScienceStudent<:Student
		name::String
		hobby::String
	end
	
	# Defining an additional constructor to the default constructor
	function ComputerScienceStudent(name)
		return ComputerScienceStudent(name, "Programming")
	end
end

# ╔═╡ 721e268d-b7c5-4ea8-b4d7-2bab6e2a6fb0
# Using the default constructor
ComputerScienceStudent("John", "Tennis")

# ╔═╡ 0f76bd6b-906f-49b3-8a36-9e02feb750b9
# Using the additional constructor
ComputerScienceStudent("Selina")

# ╔═╡ 513a4b3f-5b12-4d65-9321-0c883f12a1eb
mutable struct BiologyStudent<:Student
	name::String
	hobby::String
	
	# Overwriting the default constructor
	# You have to use the keyword `new`
	function BiologyStudent(name)
		return new(name, "Observing animals")
	end
end

# ╔═╡ 3063d330-c411-431e-9e7a-eb3f5cd3ee7b
# This will not work because the default constructor is overwritten!
# BiologyStudent("Kate", "Swimming")

# ╔═╡ 9e621eb5-a163-4a7a-abd5-85bdf9469692
# The new default constructor
BiologyStudent("Kate")

# ╔═╡ 44511b7e-a38a-450f-9a55-b6b6a4d3edd5
# This is the default constructor now
begin
	biology_student = BiologyStudent("Kate")

	# The struct has to be mutable
	biology_student.hobby = "Swimming"
	
	biology_student
end

# ╔═╡ eddfd543-091b-4a32-8124-a67687dcf457
md"""
Why would you want to overwrite the default constructor?

It is useful if you want to enforce checking fields before construction.
"""

# ╔═╡ c24c04e4-b131-11ec-2c1b-7de12fe0c324
md"""
# Ecosystem
In this section, some interesting Julia packages will be presented briefly. If you want to learn more about them, check out their documentation! Just search for the package name and take a look at the Github page or the documentation page.
"""

# ╔═╡ 7e75da58-f110-41cb-ab19-79376370965f
md"""
## `Luxor.jl`
For generating vector graphics.
"""

# ╔═╡ 17f037d3-0dd1-4c3e-bd54-9fa03b7b3365
@bind steps PlutoUI.Slider(1:24; default=3, show_value=true)

# ╔═╡ 1be2d61a-5a6f-40c6-86aa-a8b515addabb
# Move the slider above!
@draw begin
    gap = 2
    for (n, θ) in enumerate(range(0, step=2π/steps, length=steps))
        sethue([
			Luxor.julia_green,
            Luxor.julia_red,
            Luxor.julia_purple,
            Luxor.julia_blue
		][mod1(n, 4)])
        sector(Luxor.Point(0, 0), 50, 250 + 2n, θ, θ + 2π/steps - deg2rad(gap), :fill)
    end
end

# ╔═╡ e80c4d19-d746-4ab8-88e0-2389a722edb6
md"""
## `Makie`
Makie is a plotting package that does use the GPU for plotting. Depending on what you are doing, it might be more powerful than `Plots.jl`. Visit [its website](https://makie.org/) for a showcase ✨
"""

# ╔═╡ 6b417e5d-01c2-4b06-9708-62c422a6b64b
md"""
## `DifferentialEquations.jl`
This package provides you with the **best numerical differential equations solver** 🚀

You don't believe me when I say that is it is the best? 🤨

Here is an objective comparison of the most popular differential equations solvers including those of other programming languages:
[https://www.stochasticlifestyle.com/comparison-differential-equation-solver-suites-matlab-r-julia-python-c-fortran/](https://www.stochasticlifestyle.com/comparison-differential-equation-solver-suites-matlab-r-julia-python-c-fortran/)

Now that you believe me, go to this part of the package documentation and take a look at the tutorial for solving ordinary differential equations:
[https://diffeq.sciml.ai/stable/tutorials/ode_example/](https://diffeq.sciml.ai/stable/tutorials/ode_example/)

It is **very well explained** in the documentation 🤩
"""

# ╔═╡ 1ef034c9-da8d-4b35-8a98-532793b03718
md"""
## `QuadGK.jl`
Numerical integration.
"""

# ╔═╡ a6064495-8e5f-4bc4-a090-f2f480c262c2
integral, err = quadgk(x -> exp(-x^2), 0, 1, rtol=1e-8)

# ╔═╡ 097b1b98-8b98-4160-bf31-d982f21ab8d6
md"""
## `Symbolics.jl`
Symbolic calculations. This package is still in an early stage and does only support some features like calculating derivatives and simplifying expressions. But check it out now and especially in the future!
"""

# ╔═╡ ec48d45c-8811-4747-a431-a31f8aaeb537
@variables x

# ╔═╡ 07c049db-ad8e-4672-af49-35432a3d8c22
D = Differential(x)

# ╔═╡ 599bf74b-b18d-42ff-8580-02905296887b
y = x + x^2 + sin(x)

# ╔═╡ 0c94a6b9-cfc1-4e5b-916b-678765854fba
D(y)

# ╔═╡ ac32de04-7f77-4f82-b486-1a533bc32ded
expand_derivatives(D(y))

# ╔═╡ d29338b3-3c25-4ae4-90d0-1176538c635e
md"""
## `NaturallyUnitful.jl`
Extension to `Unitful.jl` for natural units.
"""

# ╔═╡ 61cd8751-c5d7-45da-93b7-4b01b7a1d9b8
natural(1u"m")

# ╔═╡ 5856fa35-e6c0-4ea6-92e7-a3f402d5bd6e
unnatural(u"m", 5.067730759202785e6u"eV^-1")

# ╔═╡ 62e2481a-3fa1-4f2f-a7b6-7879c675701d
md"""
## `PeriodicTable.jl`
"""

# ╔═╡ 42d93edd-45f7-41f5-9f3a-75ebd4ab6ca8
elements

# ╔═╡ 46307fcf-4a30-424a-bc65-a55b256fcf75
oxygen = elements["oxygen"]

# ╔═╡ 3022550c-8c36-4b50-948e-9fe61cc37805
oxygen.atomic_mass

# ╔═╡ aa40dc25-6355-45be-b577-c5a8a28f1a8a
md"""
## `PrettyTables.jl`
Export data tables to a LaTeX file. Does also work with `DataFrames`.
"""

# ╔═╡ d7ee5239-9035-4fac-8518-d763c4bf740f
t = 0:1:20

# ╔═╡ 810cdd7b-9921-4e7b-aa65-bd88e3530cdb
data = hcat(t, t.^2, t.^3)

# ╔═╡ 122bb474-31a0-4ef3-a547-ae57b6448faa
header = (
	["\$t\$", "\$t^2\$", "\$t^3\$"],
	["[s]", "[s\$^2\$]", "[s\$^3\$]"]
)

# ╔═╡ b0fd55b0-d591-4e7b-982c-3e85fcaf8bcd
pretty_table(
	data;
	backend=:latex,
	header=header,
)

# ╔═╡ b36b927a-1959-434a-b4e8-86a3c82b3e95
# Write output to a file
open("resources/pretty_table.tex", "w") do io
	pretty_table(
		io,
		data;
		backend=:latex,
		header=header,
	)
end

# ╔═╡ eb836cdc-de12-430c-a6f3-1524ebd28865
md"""
## `JLD2.jl`
Save variables to a binary file.
"""

# ╔═╡ 62fcfe2a-2a33-4ace-b9df-9ae295446df2
physics_student

# ╔═╡ 4d44453e-31b3-4209-a9a7-5c8502c5cada
# Save to binary file
JLD2.save_object("resources/jld2_demo.jld2", physics_student)

# ╔═╡ 9bbef800-6926-4c47-8fd0-dece3640bc04
# Load from binary file
JLD2.load_object("resources/jld2_demo.jld2")

# ╔═╡ 0174178f-3ed9-4890-8482-714cb51a635d
md"""
## `ProgressMeter.jl`
This package can not be shown in a Pluto notebook, but check it out if you are running code taking a very long time and you want to know what the progress is and when it will be done. It will generate an animated progress bar.
"""

# ╔═╡ 2430f309-be28-4bc2-9692-92489c31f7b2
md"""
# Resources
The journey with Julia did just start 💓

Here are some links for further resources:
- [https://julialang.org/learning/](https://julialang.org/learning/): Learning resources listed on the official Julia website 📚️
- [https://discourse.julialang.org/](https://discourse.julialang.org/): Julia's Discourse where packages are announced and questions are answered. If you have a question about Julia, post it on Discourse! It is like Stack Overflow for Julians 😃
- [https://juliahub.com/ui/Packages](https://juliahub.com/ui/Packages): Platform to browse and search for Julia packages 🔍️
- [https://www.juliapackages.com/](https://www.juliapackages.com/): Another platform for browsing and searching for packages 🔍️
- Search for YouTube videos about Julia. There are a lot!
"""

# ╔═╡ 00000000-0000-0000-0000-000000000001
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NaturallyUnitful = "872cf16e-200e-11e9-2cdf-8bb39cfbec41"
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Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"

[compat]
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Luxor = "~3.1.1"
NaturallyUnitful = "~0.3.2"
PeriodicTable = "~1.1.4"
PlutoUI = "~0.7.59"
PrettyTables = "~1.3.1"
QuadGK = "~2.9.4"
Symbolics = "~4.3.1"
"""

# ╔═╡ 00000000-0000-0000-0000-000000000002
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[[deps.SplittablesBase]]
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[[deps.StaticArraysCore]]
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[[deps.StatsAPI]]
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uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
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[[deps.StatsFuns]]
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git-tree-sha1 = "5950925ff997ed6fb3e985dcce8eb1ba42a0bbe7"
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[[deps.SuiteSparse]]
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[[deps.SuiteSparse_jll]]
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[[deps.SymbolicUtils]]
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git-tree-sha1 = "027b43d312f6d52187bb16c2d4f0588ddb8c4bb2"
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git-tree-sha1 = "759d6102719068d95acae0b5480c157fa278ca82"
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[[deps.TableTraits]]
deps = ["IteratorInterfaceExtensions"]
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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]]
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uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
version = "1.10.0"

[[deps.TermInterface]]
git-tree-sha1 = "7aa601f12708243987b88d1b453541a75e3d8c7a"
uuid = "8ea1fca8-c5ef-4a55-8b96-4e9afe9c9a3c"
version = "0.2.3"

[[deps.Test]]
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uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[deps.ThreadsX]]
deps = ["Accessors", "ArgCheck", "BangBang", "ConstructionBase", "InitialValues", "MicroCollections", "Referenceables", "SplittablesBase", "Transducers"]
git-tree-sha1 = "70bd8244f4834d46c3d68bd09e7792d8f571ef04"
uuid = "ac1d9e8a-700a-412c-b207-f0111f4b6c0d"
version = "0.1.12"

[[deps.TimerOutputs]]
deps = ["ExprTools", "Printf"]
git-tree-sha1 = "f548a9e9c490030e545f72074a41edfd0e5bcdd7"
uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
version = "0.5.23"

[[deps.TranscodingStreams]]
deps = ["Random", "Test"]
git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.9.13"

[[deps.Transducers]]
deps = ["Accessors", "Adapt", "ArgCheck", "BangBang", "Baselet", "CompositionsBase", "ConstructionBase", "DefineSingletons", "Distributed", "InitialValues", "Logging", "Markdown", "MicroCollections", "Requires", "SplittablesBase", "Tables"]
git-tree-sha1 = "5215a069867476fc8e3469602006b9670e68da23"
uuid = "28d57a85-8fef-5791-bfe6-a80928e7c999"
version = "0.4.82"

    [deps.Transducers.extensions]
    TransducersBlockArraysExt = "BlockArrays"
    TransducersDataFramesExt = "DataFrames"
    TransducersLazyArraysExt = "LazyArrays"
    TransducersOnlineStatsBaseExt = "OnlineStatsBase"
    TransducersReferenceablesExt = "Referenceables"

    [deps.Transducers.weakdeps]
    BlockArrays = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
    LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
    OnlineStatsBase = "925886fa-5bf2-5e8e-b522-a9147a512338"
    Referenceables = "42d2dcc6-99eb-4e98-b66c-637b7d73030e"

[[deps.TreeViews]]
deps = ["Test"]
git-tree-sha1 = "8d0d7a3fe2f30d6a7f833a5f19f7c7a5b396eae6"
uuid = "a2a6695c-b41b-5b7d-aed9-dbfdeacea5d7"
version = "0.3.0"

[[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.UnPack]]
git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
version = "1.0.2"

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

[[deps.Unitful]]
deps = ["Dates", "LinearAlgebra", "Random"]
git-tree-sha1 = "352edac1ad17e018186881b051960bfca78a075a"
uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
version = "1.19.1"
weakdeps = ["ConstructionBase", "InverseFunctions"]

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

[[deps.XML2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
git-tree-sha1 = "532e22cf7be8462035d092ff21fada7527e2c488"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.12.6+0"

[[deps.XSLT_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a"
uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
version = "1.1.34+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_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_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_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 = "b4bfde5d5b652e22b9c790ad00af08b6d042b97d"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.15.0+0"

[[deps.Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77"
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[[deps.Zlib_jll]]
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[[deps.Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e678132f07ddb5bfa46857f0d7620fb9be675d3b"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.6+0"

[[deps.ZygoteRules]]
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git-tree-sha1 = "27798139afc0a2afa7b1824c206d5e87ea587a00"
uuid = "700de1a5-db45-46bc-99cf-38207098b444"
version = "0.2.5"

[[deps.gdk_pixbuf_jll]]
deps = ["Artifacts", "Glib_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Xorg_libX11_jll", "libpng_jll"]
git-tree-sha1 = "86e7731be08b12fa5e741f719603ae740e16b666"
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version = "2.42.10+0"

[[deps.libaom_jll]]
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git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4"
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
version = "3.4.0+0"

[[deps.libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
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[[deps.libblastrampoline_jll]]
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version = "5.8.0+1"

[[deps.libfdk_aac_jll]]
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git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.2+0"

[[deps.libpng_jll]]
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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.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"
"""

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