2390 lines
76 KiB
Julia
2390 lines
76 KiB
Julia
### A Pluto.jl notebook ###
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# v0.19.27
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using Markdown
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using InteractiveUtils
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# 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).
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macro bind(def, element)
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quote
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local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end
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local el = $(esc(element))
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global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el)
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el
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end
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end
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# ╔═╡ ea758628-8a57-481f-9d8f-edda66f30e42
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using Images
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# ╔═╡ 00ebaf5f-0258-4daf-840e-6f01b3bdd352
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using ImageDraw
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# ╔═╡ e3160714-e504-48bd-898b-fdfcb07856ba
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using PlutoUI
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# ╔═╡ 81e1c4e1-89bf-4888-bf65-ce021c7a574b
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using ProgressLogging
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# ╔═╡ cf53e56a-3f21-4ba6-aae5-7b1e5fdc9623
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using LinearAlgebra
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# ╔═╡ 49b8c58c-ba0d-4783-8a3d-888902277b75
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md"
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## Canvas
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"
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# ╔═╡ 5589b059-d8c8-43fa-8916-c2a5d1a36a1d
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function norm2(A; dims)
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B = sum(x -> x^2, A; dims=dims)
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sqrt.(B)
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end
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# ╔═╡ fede4fd1-acb3-4b2e-b2bc-2e3703e7762d
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HSV(240, 0.5, 1.0)
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# ╔═╡ 9e5c5ea0-850a-4dbf-b89b-33ae234bbce6
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struct Canvas
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width :: Int
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height :: Int
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grid_size :: Int
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particle_radius :: Float64
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pixels :: Matrix{HSV{Float64}}
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end
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# ╔═╡ 4312153d-d1c3-4c04-8f49-0681ebe49931
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function mk_canvas(width :: Int, height :: Int, grid_size :: Int = 30) :: Canvas
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Canvas(
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width,
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height,
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grid_size,
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grid_size * (1/5),
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fill(HSV(0.0, 0.0, 1.0), grid_size * height, grid_size * width)
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)
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end
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# ╔═╡ 56d8ea14-6fb7-4aed-a098-58c99a00d98f
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function draw_particle!(self :: Canvas, x :: Number, y :: Number)
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x´ = 1 + round(Int, (x - 0.5) * self.grid_size)
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y´ = 1 + round(Int, (y - 0.5) * self.grid_size)
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draw!(
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self.pixels,
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Ellipse(CirclePointRadius(x´, y´, self.particle_radius)),
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HSV(240, 0.5, 1.0)
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)
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end
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# ╔═╡ 510a8bb6-c36f-427a-8a1f-09520ba8e372
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# ╔═╡ 4435eb0e-92b9-4e2b-b010-ea30d33cca7f
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function draw_box!(self :: Canvas, x :: Number, y :: Number, color :: HSV{Float64})
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x´ = 1 + round(Int, (x - 1) * self.grid_size)
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y´ = 1 + round(Int, (y - 1) * self.grid_size)
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self.pixels[
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y´:y´ + self.grid_size - 1,
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x´:x´ + self.grid_size - 1
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] .= color
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end
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# ╔═╡ 02bb3de1-ac52-4c41-881f-6cbefa0f14d6
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md"
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## Periodic Vector Field
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"
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# ╔═╡ 95782460-370f-11ee-23f0-15d095c0cbd2
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mutable struct PeriodicVectorField
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width :: Int
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height :: Int
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dim :: Int
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values :: Array{Float64, 3}
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end
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# ╔═╡ 6c328f85-2bdb-4b9a-94d6-008d5fcfcb0b
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function mk_field(width :: Int, height :: Int, dim :: Int; initial :: Float64 = 0.0) :: PeriodicVectorField
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PeriodicVectorField(
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width,
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height,
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dim,
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fill(initial, width, height, dim)
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)
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end
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# ╔═╡ e047bcdc-7e68-4012-b46c-8effa9c0ec96
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function wrap_index(index :: Int, n :: Int)
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mod1(index, n)
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end
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# ╔═╡ e8d3a92e-8e5c-4362-aefb-1937c8265b88
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function get_at(self :: PeriodicVectorField, x :: Int, y :: Int) :: Vector{Float64}
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self.values[wrap_index(x, self.width), wrap_index(y, self.height), :]
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end
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# ╔═╡ 0e953361-2ffa-49fd-92f2-526d89761f4a
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function set_at!(self :: PeriodicVectorField, x :: Int, y :: Int, value :: Vector{Float64})
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self.values[wrap_index(x, self.width), wrap_index(y, self.height), :] .= value
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end
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# ╔═╡ 4a7f1411-79aa-41c2-8a1f-2b55a6e3de4d
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@enum Direction SW=1 S SE E NE N NW W
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# ╔═╡ 1a26e9f9-8cf4-4d2e-9931-d7ead1f21666
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[cos(Int(d) * π) for d in instances(Direction)]
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# ╔═╡ 03e4d872-706a-4bd8-91e6-39ca90170616
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function invert_direction(d :: Direction) :: Direction
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Direction(mod1(Int(d) + 4, length(instances(Direction))))
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end
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# ╔═╡ 1b5563fa-9707-4b8d-802d-1c504e201a04
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@assert all(d == invert_direction(invert_direction(d)) for d ∈ instances(Direction))
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# ╔═╡ d83c41b0-2efe-42e4-95cd-50270ec74659
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direction_offsets = hcat(
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[round(Int, sin((Int(d) - 2) * π * (1/4))) for d in instances(Direction)],
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[round(Int, cos((Int(d) - 2) * π * (1/4))) for d in instances(Direction)]
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)
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# ╔═╡ 52517a45-e2d8-45a4-9f33-433b2f5db9b5
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function direction_to_offset(d :: Direction) :: Vector{Int}
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direction_offsets[Int(d), :]
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end
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# ╔═╡ 12619d0f-01b6-44de-ba05-fe4fbe3d329a
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md"
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```
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(0, 0) x
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┌───────────►
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│
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│ N
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│ ▲
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│ │
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│ │
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│ W◄─── ───►E
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│ │
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│ │
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│ ▼
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y▼ S
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```
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"
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# ╔═╡ 90f0da92-cf10-4309-8dcf-2713e384bd9b
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for d ∈ [W, N, E, S]
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@info d direction_to_offset(d)
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end
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# ╔═╡ cb362a50-e9ac-4fba-a7b7-864edffce0f9
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function get_at_direction(
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self :: PeriodicVectorField,
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x :: Int,
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y :: Int,
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d :: Direction
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) :: Float64
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c = direction_to_offset(d)
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if d >= NE && d <= W
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get_at_direction(self, x + c[1], y + c[2], invert_direction(d))
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else
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get_at(self, x + c[1], y + c[2])[Int(d)]
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end
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end
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# ╔═╡ 5120d3e6-0c08-4661-b845-777a3b0fd9b3
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function set_at_direction!(
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self :: PeriodicVectorField,
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x :: Int,
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y :: Int,
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d :: Direction,
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value :: Float64
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)
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c = direction_to_offset(d)
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if d >= NE && d <= W
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set_at_direction!(self, x + c[1], y + c[2], invert_direction(d), value)
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else
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v = get_at(self, x + c[1], y + c[2])
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v[Int(d)] = value
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set_at!(self, x + c[1], y + c[2], v)
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end
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return
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end
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# ╔═╡ 078d53ff-b48f-4e56-84ab-e2bab56d8ba2
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rand()
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# ╔═╡ b323d5a8-b3ec-4dc2-98dd-a1d6a56de8d2
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begin
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local f = mk_field(30, 30, 4)
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f.values = rand(30, 30, 4)
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for x ∈ f.width
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for y ∈ f.height
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for d ∈ instances(Direction)
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local off = direction_to_offset(d)
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local x´ = x + off[1]
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local y´ = y + off[2]
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@assert get_at_direction(f, x, y, d) == get_at_direction(f, x´, y´, invert_direction(d))
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end
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end
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end
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local fi = 0.0
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for x ∈ f.width
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for y ∈ f.height
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for d ∈ instances(Direction)
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set_at_direction!(f, x, y, d, fi)
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@assert get_at_direction(f, x, y, d) == fi
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fi += 1
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end
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end
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end
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end
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# ╔═╡ e34a6736-6330-402c-9e94-6ad3d0cfa882
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md"
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## Maxwell
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We can numerically solve
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$\dot{\mathbf{F}}_i(t) = \dot{\mathbf{F}}_{i, \text{elastic}}(t) - \frac{1}{Q} \mathbf{F}_i(t)$
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$\mathbf{F}_{i, \text{elastic}}(t) = - \sum_j \mathbf{F}_{ij}(t)$
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$\mathbf{F}_{ij}(t) = \mathbf{n}_{ij} K_{ij} (\mathbf{u}_{ij} \cdot \mathbf{x}_{ij}) + \frac{c \mathbf{u}_{ij}}{|\mathbf{x}_{ij}|^2}$
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by
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$\dot{\mathbf{F}}_{i, \text{elastic}}(t) = \frac{\mathbf{F}_{i, \text{elastic}}(t + \Delta t) - \mathbf{F}_{i, \text{elastic}}(t)}{\Delta t}$
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$\dot{\mathbf{F}}_i(t) = \dot{\mathbf{F}}_{i, \text{elastic}}(t) - \frac{1}{Q} \mathbf{F}_i(t)$
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$\mathbf{F}_i(t + \Delta t) = \mathbf{F}_i(t) + \Delta t \dot{\mathbf{F}}_i(t)$
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$\mathbf{v}_i(t + \Delta t) = \mathbf{v}_i(t) + \Delta t \mathbf{F}_i(t) + \frac{1}{2} \Delta t^2 \dot{\mathbf{F}}_i(t)$
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$\mathbf{u}_i(t + \Delta t) = \mathbf{u}_i(t) + \Delta t \mathbf{v}_i(t) + \frac{1}{2} \Delta t^2 \mathbf{F}_i(t) + \frac{1}{6} \Delta t^3 \dot{\mathbf{F}}_i(t)$
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See [Taylor Series](https://en.wikipedia.org/wiki/Taylor_series)
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"
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# ╔═╡ 84d48419-785a-4786-9eaf-000dab9257b1
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md"
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### Implementation
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We need store the displacement, velocity, force and elastic force (for calculating $\dot{\mathbf{F}}_{i, \text{elastic}}(t)$) of each particle.
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"
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# ╔═╡ 43b1f729-ef23-44ca-8e45-c76ba158848b
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struct MaxwellModel
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width :: Int
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height :: Int
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displacement :: PeriodicVectorField
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velocity :: PeriodicVectorField
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force :: PeriodicVectorField
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force_change :: PeriodicVectorField
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elastic_force :: PeriodicVectorField
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fixed :: PeriodicVectorField
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Δt :: Float64
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k :: Float64
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c :: Float64
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Q :: Float64
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end
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# ╔═╡ af3f5d21-9ea3-46c2-9b85-bf42a6179f0a
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function mk_maxwell(
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width :: Int,
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height :: Int;
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Δt :: Float64 = 0.1,
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k :: Float64 = 1.0,
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c :: Float64 = 1.0,
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Q :: Float64 = 100.0
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) :: MaxwellModel
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MaxwellModel(
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width,
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height,
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mk_field(width, height, 2),
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mk_field(width, height, 2),
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mk_field(width, height, 2),
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mk_field(width, height, 2),
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mk_field(width, height, 2),
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mk_field(width, height, 1, initial = 1.0),
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Δt,
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k,
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c,
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Q
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)
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end
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# ╔═╡ e8cc22d9-665e-4c0e-8af2-3b96d8f65d0b
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function get_elastic_force(
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self :: MaxwellModel, x :: Int, y :: Int, d :: Direction
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) :: Vector{Float64}
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offset = direction_to_offset(d)
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x´ = x + offset[1]
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y´ = y + offset[2]
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u = get_at(self.displacement, x, y)
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u´ = get_at(self.displacement, x´, y´)
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x_ij = Float64.([x, y] - [x´, y´])
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u_ij = u - u´
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r_ij = x_ij + u_ij
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n_ij = r_ij / norm(r_ij)
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K_ij = self.k * norm(x_ij)
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n_ij * K_ij * (u_ij ⋅ x_ij) + (self.c * u_ij) / norm(x_ij)^2
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end
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# ╔═╡ 8639a662-0dd0-4921-8617-cf1b3770fbd9
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[0 0 1; 0 1 0; 1 0 0] .* [1 2 3; 1 2 3; 1 2 3]
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# ╔═╡ eee3a24f-78c0-47ad-8b35-56f2d76bb949
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function update_maxwell!(self :: MaxwellModel)
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Ḟ = self.force_change.values
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F = self.force.values
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v = self.velocity.values
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u = self.displacement.values
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self.displacement.values = u + self.fixed.values .* (self.Δt * v + self.Δt^2 * (1/2) * F + self.Δt^3 * (1/6) * Ḟ)
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for x ∈ 1:self.width
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for y ∈ 1:self.height
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F_elastic_new = [0.0, 0.0]
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for d ∈ instances(Direction)
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F_elastic_new += get_elastic_force(self, x, y, d)
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end
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F_elastic_new *= -1
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F_elastic = get_at(self.elastic_force, x, y)
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Ḟ_elastic = (F_elastic_new - F_elastic) / self.Δt
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set_at!(self.elastic_force, x, y, F_elastic_new)
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F_i = get_at(self.force, x, y)
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Ḟ = Ḟ_elastic - (1 / self.Q) * F_i
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set_at!(self.force_change, x, y, Ḟ)
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end
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end
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Ḟ = self.force_change.values
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self.force.values = F + self.fixed.values .* (self.Δt * Ḟ)
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self.velocity.values = v + self.fixed.values .* (self.Δt * F + self.Δt^2 * (1/2) * Ḟ)
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end
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# ╔═╡ 5dc38b5c-156f-4450-8a8e-83379f88ea1d
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function draw_maxwell(self :: MaxwellModel) :: Canvas
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min_u = minimum(norm2(self.displacement.values, dims = 3))
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max_u = maximum(norm2(self.displacement.values, dims = 3))
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c = mk_canvas(self.width, self.height * 2)
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for x ∈ 1:self.width
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for y ∈ 1:self.height
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u = get_at(self.displacement, x, y)
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draw_particle!(c, x + u[1], y + u[2])
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draw_box!(c, x, y + self.height, HSV(240, 1.0, (norm(u) - min_u) / (max_u - min_u)))
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end
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end
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c
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end
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# ╔═╡ 2a0ca777-0323-4b23-8874-2d816daf6d1d
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@bind i Clock(interval = 0.05)
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# ╔═╡ d3e98246-2144-421d-9546-d57086a60e79
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import Plots
|
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# ╔═╡ 0ef8b6b8-e4ad-4610-a2d6-5985830b23f3
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Plots.plotly()
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# ╔═╡ 9fe9acfc-e696-4f7d-8841-6325e9fd4733
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md"
|
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## Interlude: Cool Colors for the Heatmap
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"
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# ╔═╡ a183601a-33e8-413d-ae02-93407375edfc
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function c1(x :: Float64) :: HSV{Float64}
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HSV(60 * x, 0.5 + (1 - x) * 0.5, x)
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end
|
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# ╔═╡ 67740373-7db8-4e72-9098-77b288c14cc3
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[c1(i / 10) for i in 0:10]
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# ╔═╡ 7f458f26-0abe-4e16-911b-265da7f21a5b
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md"
|
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## Zener
|
||
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Given
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$\textbf{F}_{ij}(t) = K_0 \textbf{u}_{ij} + K_1 \textbf{u}^s_{ij} + \frac{c \dot{\textbf{u}}^d_{ij}}{\Delta x^2}$
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$\textbf{u} = \textbf{u}^s + \textbf{u}^d$
|
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$K_1 \textbf{u}^s = \eta \dot{\textbf{u}}^d$
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we need to derive a set of equations to calculate the new forces, velocities and displacements for a timestep.
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$\textbf{u}^d(t) \in \mathbb{R}$
|
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$\textbf{u}^s(t) \in \mathbb{R} = |\textbf{u}(t)| - \textbf{u}^d(t)$
|
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$\dot{\textbf{u}}^d(t) = \frac{K_1 \textbf{u}^s(t)}{\eta}$
|
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Updates:
|
||
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$\textbf{u}^d(t + \Delta t) = \textbf{u}^d(t) + \Delta t \dot{\textbf{u}}^d(t)$
|
||
"
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# ╔═╡ 650aae02-8622-481e-8827-cb4c81e6fce5
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struct ZenerModel
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width :: Int
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height :: Int
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Δt :: Float64
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Δx :: Float64
|
||
K0 :: Float64
|
||
K1 :: Float64
|
||
c :: Float64
|
||
η :: Float64
|
||
|
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displacement :: PeriodicVectorField
|
||
velocity :: PeriodicVectorField
|
||
force :: PeriodicVectorField
|
||
dampers :: PeriodicVectorField
|
||
end
|
||
|
||
# ╔═╡ 4be0d852-b22f-41dc-8de4-1025a38ce87c
|
||
function mk_zener(
|
||
width :: Int,
|
||
height :: Int;
|
||
Δt :: Float64 = 0.1,
|
||
Δx :: Float64 = 1.0,
|
||
K0 :: Float64 = 1.0,
|
||
K1 :: Float64 = 1.0,
|
||
c :: Float64 = 1.0,
|
||
η :: Float64 = 1.0
|
||
) :: ZenerModel
|
||
ZenerModel(
|
||
width,
|
||
height,
|
||
Δt,
|
||
Δx,
|
||
K0,
|
||
K1,
|
||
c,
|
||
η,
|
||
mk_field(width, height, 2),
|
||
mk_field(width, height, 2),
|
||
mk_field(width, height, 2),
|
||
mk_field(width, height, 4),
|
||
)
|
||
end
|
||
|
||
# ╔═╡ 82952bba-d451-4bc0-8cf6-0823a9e2ceac
|
||
function get_zener_force(
|
||
self :: ZenerModel,
|
||
x :: Int,
|
||
y :: Int,
|
||
d :: Direction
|
||
) :: Vector{Float64}
|
||
offset = direction_to_offset(d)
|
||
x´ = x + offset[1]
|
||
y´ = y + offset[2]
|
||
|
||
u = get_at(self.displacement, x, y)
|
||
u´ = get_at(self.displacement, x´, y´)
|
||
|
||
u_ij = u - u´
|
||
un_ij = if norm(u_ij) == 0.0
|
||
[0.0, 0.0]
|
||
else
|
||
u_ij / norm(u_ij)
|
||
end
|
||
x_ij = [x, y] - [x´, y´]
|
||
ud_ij = get_at_direction(self.dampers, x, y, d)
|
||
us_ij = norm(u_ij) - ud_ij
|
||
u̇d_ij = (self.K1 / self.η) * us_ij
|
||
|
||
self.K0 * u_ij + self.K1 * ud_ij * un_ij + self.c * u̇d_ij * un_ij
|
||
end
|
||
|
||
# ╔═╡ 9459bdf3-5ff4-48df-8007-b0ba0bed894d
|
||
function update_zener!(self :: ZenerModel)
|
||
u = self.displacement.values
|
||
v = self.velocity.values
|
||
F = self.force.values
|
||
self.displacement.values = u + self.Δt * v + self.Δt^2 * (1/2) * F
|
||
|
||
for x ∈ 1:self.width
|
||
for y ∈ 1:self.height
|
||
# Update force at particle [x, y]
|
||
F_i = [0.0, 0.0]
|
||
for d ∈ instances(Direction)
|
||
F_i += get_zener_force(self, x, y, d)
|
||
end
|
||
F_i *= -1
|
||
|
||
set_at!(self.force, x, y, F_i)
|
||
end
|
||
end
|
||
|
||
|
||
# Update spring at [x, y, d]
|
||
# Move up?
|
||
# Also: Very inefficient
|
||
for x ∈ 1:self.width
|
||
for y ∈ 1:self.height
|
||
for d ∈ [SW, S, SE, E]
|
||
offset = direction_to_offset(d)
|
||
x´ = x + offset[1]
|
||
y´ = y + offset[2]
|
||
|
||
u = get_at(self.displacement, x, y)
|
||
u´ = get_at(self.displacement, x´, y´)
|
||
|
||
u_ij = u - u´
|
||
ud_ij = get_at_direction(self.dampers, x, y, d)
|
||
us_ij = norm(u_ij) - ud_ij
|
||
u̇d_ij = (self.K1 / self.η) * us_ij
|
||
set_at_direction!(self.dampers, x, y, d, ud_ij + self.Δt * u̇d_ij)
|
||
end
|
||
end
|
||
end
|
||
|
||
v = self.velocity.values
|
||
F = self.force.values
|
||
self.velocity.values = v + self.Δt * F
|
||
end
|
||
|
||
# ╔═╡ 68a560b8-85bc-4077-9338-507c813f3a73
|
||
function draw_zener(self :: ZenerModel) :: Canvas
|
||
min_u = 0
|
||
max_u = maximum(norm2(self.displacement.values, dims = 3))
|
||
|
||
c = mk_canvas(self.width * 2, self.height, 10)
|
||
|
||
for x ∈ 1:self.width
|
||
for y ∈ 1:self.height
|
||
u = get_at(self.displacement, x, y)
|
||
draw_particle!(c, x + u[1], y + u[2])
|
||
|
||
draw_box!(c, self.width + x, y, c1((norm(u) - min_u) / (max_u - min_u)))
|
||
end
|
||
end
|
||
|
||
c
|
||
end
|
||
|
||
# ╔═╡ 078754ac-326d-4d55-a050-473b8f866960
|
||
begin
|
||
dist_xs = 30:34
|
||
dist_ys = 21:22
|
||
dist_dir = 0.5 * direction_to_offset(S)
|
||
|
||
η = 0.25
|
||
K0 = 0.25
|
||
K1 = 0.25
|
||
zc = 4.0
|
||
z = mk_zener(61, 61, η = η, K0 = K0, K1 = K1, c = zc)
|
||
# set_at!(z.displacement, 5, 5, 0.5 * direction_to_offset(NW))
|
||
for x ∈ dist_xs
|
||
for y ∈ dist_ys
|
||
set_at!(z.displacement, x, y, dist_dir)
|
||
end
|
||
end
|
||
|
||
z_frames = []
|
||
z_max_f = []
|
||
z_max_u = []
|
||
z_sum_u = []
|
||
dist_sum_u = []
|
||
function z_log_stuff!()
|
||
push!(z_max_f, maximum(norm2(z.force.values, dims=3)))
|
||
push!(z_max_u, maximum(norm2(z.displacement.values, dims=3)))
|
||
push!(z_sum_u, sum(norm2(z.displacement.values, dims=3)))
|
||
push!(dist_sum_u, sum(norm2(z.displacement.values[dist_xs, dist_ys, :], dims=3)))
|
||
push!(z_frames, draw_zener(z).pixels)
|
||
end
|
||
|
||
z_log_stuff!()
|
||
@progress for i ∈ 1:100
|
||
update_zener!(z)
|
||
z_log_stuff!()
|
||
end
|
||
end
|
||
|
||
# ╔═╡ 923ed671-b139-47b6-a10b-10cdc8c4b87a
|
||
@bind zir Clock(interval = 0.05)
|
||
|
||
# ╔═╡ 0335032b-06b9-4b9e-bc78-c21ce95c5bb3
|
||
zi = mod1(zir, length(z_frames))
|
||
|
||
# ╔═╡ df0eda58-f1c9-4040-98e8-e1db173bb2f9
|
||
z_frames[zi]
|
||
|
||
# ╔═╡ 01d400ee-953b-4f75-852a-b30f672acc31
|
||
z_max_f[zi]
|
||
|
||
# ╔═╡ f6b50ef9-94d9-4f80-b778-ef00f3635279
|
||
Plots.plot([
|
||
z_max_f,
|
||
z_max_u,
|
||
z_sum_u,
|
||
dist_sum_u
|
||
], layout = (4, 1))
|
||
|
||
# ╔═╡ 16db9976-fc91-4010-98fd-8d4cda6117d8
|
||
w, h = size(z_frames[1])
|
||
|
||
# ╔═╡ 5c79d594-a3a0-472e-a4cc-0c78df3ecf9d
|
||
begin
|
||
anim = fill(HSV(0, 1.0, 1.0), w, h, length(z_frames))
|
||
for i ∈ 1:length(z_frames)
|
||
anim[:, :, i] = z_frames[i]
|
||
end
|
||
end
|
||
|
||
# ╔═╡ 91e05e7f-70bd-4ded-9a1e-f62602386a40
|
||
gif_path = "/home/paul/zener_$(η)_$(K0)_$(K1)_$(zc).gif"
|
||
|
||
# ╔═╡ f75e6776-e2a7-4a54-9bf9-e674d778bc66
|
||
function draw_line!(self :: Canvas, x :: Number, y :: Number, x´ :: Number, y´ :: Number)
|
||
p1 = Point(round(Int, (x + 0.5) * self.grid_size), round(Int, (y + 0.5) * self.grid_size))
|
||
p2 = Point(round(Int, (x´ + 0.5) * self.grid_size), round(Int, (y´ + 0.5) * self.grid_size))
|
||
draw!(self.pixels, LineSegment(p1,p2), HSV(0.0, 1.0, 1.0))
|
||
end
|
||
|
||
# ╔═╡ 00000000-0000-0000-0000-000000000001
|
||
PLUTO_PROJECT_TOML_CONTENTS = """
|
||
[deps]
|
||
ImageDraw = "4381153b-2b60-58ae-a1ba-fd683676385f"
|
||
Images = "916415d5-f1e6-5110-898d-aaa5f9f070e0"
|
||
LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
|
||
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
|
||
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
|
||
ProgressLogging = "33c8b6b6-d38a-422a-b730-caa89a2f386c"
|
||
|
||
[compat]
|
||
ImageDraw = "~0.2.6"
|
||
Images = "~0.26.0"
|
||
Plots = "~1.38.17"
|
||
PlutoUI = "~0.7.52"
|
||
ProgressLogging = "~0.1.4"
|
||
"""
|
||
|
||
# ╔═╡ 00000000-0000-0000-0000-000000000002
|
||
PLUTO_MANIFEST_TOML_CONTENTS = """
|
||
# This file is machine-generated - editing it directly is not advised
|
||
|
||
julia_version = "1.8.5"
|
||
manifest_format = "2.0"
|
||
project_hash = "e0b9e852a96a15580effb0ccde770b4f16d1de17"
|
||
|
||
[[deps.AbstractFFTs]]
|
||
deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
|
||
git-tree-sha1 = "d92ad398961a3ed262d8bf04a1a2b8340f915fef"
|
||
uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
|
||
version = "1.5.0"
|
||
|
||
[[deps.AbstractPlutoDingetjes]]
|
||
deps = ["Pkg"]
|
||
git-tree-sha1 = "91bd53c39b9cbfb5ef4b015e8b582d344532bd0a"
|
||
uuid = "6e696c72-6542-2067-7265-42206c756150"
|
||
version = "1.2.0"
|
||
|
||
[[deps.Adapt]]
|
||
deps = ["LinearAlgebra", "Requires"]
|
||
git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24"
|
||
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
|
||
version = "3.6.2"
|
||
|
||
[[deps.ArgTools]]
|
||
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
|
||
version = "1.1.1"
|
||
|
||
[[deps.ArnoldiMethod]]
|
||
deps = ["LinearAlgebra", "Random", "StaticArrays"]
|
||
git-tree-sha1 = "62e51b39331de8911e4a7ff6f5aaf38a5f4cc0ae"
|
||
uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
|
||
version = "0.2.0"
|
||
|
||
[[deps.ArrayInterface]]
|
||
deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"]
|
||
git-tree-sha1 = "f83ec24f76d4c8f525099b2ac475fc098138ec31"
|
||
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
|
||
version = "7.4.11"
|
||
|
||
[[deps.ArrayInterfaceCore]]
|
||
deps = ["LinearAlgebra", "SnoopPrecompile", "SparseArrays", "SuiteSparse"]
|
||
git-tree-sha1 = "e5f08b5689b1aad068e01751889f2f615c7db36d"
|
||
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||
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||
|
||
[[deps.Artifacts]]
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||
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
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||
|
||
[[deps.AxisAlgorithms]]
|
||
deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
|
||
git-tree-sha1 = "66771c8d21c8ff5e3a93379480a2307ac36863f7"
|
||
uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
|
||
version = "1.0.1"
|
||
|
||
[[deps.AxisArrays]]
|
||
deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"]
|
||
git-tree-sha1 = "16351be62963a67ac4083f748fdb3cca58bfd52f"
|
||
uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9"
|
||
version = "0.4.7"
|
||
|
||
[[deps.Base64]]
|
||
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
|
||
|
||
[[deps.BitFlags]]
|
||
git-tree-sha1 = "43b1a4a8f797c1cddadf60499a8a077d4af2cd2d"
|
||
uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35"
|
||
version = "0.1.7"
|
||
|
||
[[deps.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 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
|
||
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
|
||
version = "1.0.8+0"
|
||
|
||
[[deps.CEnum]]
|
||
git-tree-sha1 = "eb4cb44a499229b3b8426dcfb5dd85333951ff90"
|
||
uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
|
||
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|
||
|
||
[[deps.CPUSummary]]
|
||
deps = ["CpuId", "IfElse", "PrecompileTools", "Static"]
|
||
git-tree-sha1 = "89e0654ed8c7aebad6d5ad235d6242c2d737a928"
|
||
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|
||
version = "0.2.3"
|
||
|
||
[[deps.Cairo_jll]]
|
||
deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
|
||
git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2"
|
||
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|
||
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|
||
|
||
[[deps.CatIndices]]
|
||
deps = ["CustomUnitRanges", "OffsetArrays"]
|
||
git-tree-sha1 = "a0f80a09780eed9b1d106a1bf62041c2efc995bc"
|
||
uuid = "aafaddc9-749c-510e-ac4f-586e18779b91"
|
||
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|
||
|
||
[[deps.ChainRulesCore]]
|
||
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
|
||
git-tree-sha1 = "e30f2f4e20f7f186dc36529910beaedc60cfa644"
|
||
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|
||
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|
||
|
||
[[deps.ChangesOfVariables]]
|
||
deps = ["InverseFunctions", "LinearAlgebra", "Test"]
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||
git-tree-sha1 = "2fba81a302a7be671aefe194f0525ef231104e7f"
|
||
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|
||
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|
||
|
||
[[deps.CloseOpenIntervals]]
|
||
deps = ["Static", "StaticArrayInterface"]
|
||
git-tree-sha1 = "70232f82ffaab9dc52585e0dd043b5e0c6b714f1"
|
||
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|
||
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||
|
||
[[deps.Clustering]]
|
||
deps = ["Distances", "LinearAlgebra", "NearestNeighbors", "Printf", "Random", "SparseArrays", "Statistics", "StatsBase"]
|
||
git-tree-sha1 = "b86ac2c5543660d238957dbde5ac04520ae977a7"
|
||
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||
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||
|
||
[[deps.CodecZlib]]
|
||
deps = ["TranscodingStreams", "Zlib_jll"]
|
||
git-tree-sha1 = "02aa26a4cf76381be7f66e020a3eddeb27b0a092"
|
||
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||
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||
|
||
[[deps.ColorSchemes]]
|
||
deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
|
||
git-tree-sha1 = "d9a8f86737b665e15a9641ecbac64deef9ce6724"
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||
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||
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|
||
|
||
[[deps.ColorTypes]]
|
||
deps = ["FixedPointNumbers", "Random"]
|
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git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4"
|
||
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|
||
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||
|
||
[[deps.ColorVectorSpace]]
|
||
deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "Requires", "Statistics", "TensorCore"]
|
||
git-tree-sha1 = "a1f44953f2382ebb937d60dafbe2deea4bd23249"
|
||
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|
||
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|
||
|
||
[[deps.Colors]]
|
||
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
|
||
git-tree-sha1 = "fc08e5930ee9a4e03f84bfb5211cb54e7769758a"
|
||
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
|
||
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|
||
|
||
[[deps.CommonSubexpressions]]
|
||
deps = ["MacroTools", "Test"]
|
||
git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
|
||
uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
|
||
version = "0.3.0"
|
||
|
||
[[deps.Compat]]
|
||
deps = ["Dates", "LinearAlgebra", "UUIDs"]
|
||
git-tree-sha1 = "e460f044ca8b99be31d35fe54fc33a5c33dd8ed7"
|
||
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
|
||
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|
||
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|
||
[[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", "Pkg", "Xorg_libX11_jll"]
|
||
git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96"
|
||
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
|
||
version = "0.9.10+4"
|
||
|
||
[[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_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_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 = "1.2.12+3"
|
||
|
||
[[deps.Zstd_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl"]
|
||
git-tree-sha1 = "49ce682769cd5de6c72dcf1b94ed7790cd08974c"
|
||
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
|
||
version = "1.5.5+0"
|
||
|
||
[[deps.fzf_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "868e669ccb12ba16eaf50cb2957ee2ff61261c56"
|
||
uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
|
||
version = "0.29.0+0"
|
||
|
||
[[deps.libaom_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4"
|
||
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
|
||
version = "3.4.0+0"
|
||
|
||
[[deps.libass_jll]]
|
||
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
|
||
git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
|
||
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
|
||
version = "0.15.1+0"
|
||
|
||
[[deps.libblastrampoline_jll]]
|
||
deps = ["Artifacts", "Libdl", "OpenBLAS_jll"]
|
||
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
|
||
version = "5.1.1+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.libpng_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
|
||
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
|
||
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
|
||
version = "1.6.38+0"
|
||
|
||
[[deps.libsixel_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Pkg", "libpng_jll"]
|
||
git-tree-sha1 = "d4f63314c8aa1e48cd22aa0c17ed76cd1ae48c3c"
|
||
uuid = "075b6546-f08a-558a-be8f-8157d0f608a5"
|
||
version = "1.10.3+0"
|
||
|
||
[[deps.libvorbis_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
|
||
git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c"
|
||
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
|
||
version = "1.3.7+1"
|
||
|
||
[[deps.nghttp2_jll]]
|
||
deps = ["Artifacts", "Libdl"]
|
||
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
|
||
version = "1.48.0+0"
|
||
|
||
[[deps.p7zip_jll]]
|
||
deps = ["Artifacts", "Libdl"]
|
||
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
|
||
version = "17.4.0+0"
|
||
|
||
[[deps.x264_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
|
||
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
|
||
version = "2021.5.5+0"
|
||
|
||
[[deps.x265_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
|
||
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
|
||
version = "3.5.0+0"
|
||
|
||
[[deps.xkbcommon_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
|
||
git-tree-sha1 = "9ebfc140cc56e8c2156a15ceac2f0302e327ac0a"
|
||
uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
|
||
version = "1.4.1+0"
|
||
"""
|
||
|
||
# ╔═╡ Cell order:
|
||
# ╟─49b8c58c-ba0d-4783-8a3d-888902277b75
|
||
# ╠═ea758628-8a57-481f-9d8f-edda66f30e42
|
||
# ╠═00ebaf5f-0258-4daf-840e-6f01b3bdd352
|
||
# ╠═e3160714-e504-48bd-898b-fdfcb07856ba
|
||
# ╠═81e1c4e1-89bf-4888-bf65-ce021c7a574b
|
||
# ╠═5589b059-d8c8-43fa-8916-c2a5d1a36a1d
|
||
# ╠═fede4fd1-acb3-4b2e-b2bc-2e3703e7762d
|
||
# ╠═9e5c5ea0-850a-4dbf-b89b-33ae234bbce6
|
||
# ╠═4312153d-d1c3-4c04-8f49-0681ebe49931
|
||
# ╠═56d8ea14-6fb7-4aed-a098-58c99a00d98f
|
||
# ╠═510a8bb6-c36f-427a-8a1f-09520ba8e372
|
||
# ╠═4435eb0e-92b9-4e2b-b010-ea30d33cca7f
|
||
# ╟─02bb3de1-ac52-4c41-881f-6cbefa0f14d6
|
||
# ╠═95782460-370f-11ee-23f0-15d095c0cbd2
|
||
# ╠═6c328f85-2bdb-4b9a-94d6-008d5fcfcb0b
|
||
# ╠═e047bcdc-7e68-4012-b46c-8effa9c0ec96
|
||
# ╠═e8d3a92e-8e5c-4362-aefb-1937c8265b88
|
||
# ╠═0e953361-2ffa-49fd-92f2-526d89761f4a
|
||
# ╠═1a26e9f9-8cf4-4d2e-9931-d7ead1f21666
|
||
# ╠═4a7f1411-79aa-41c2-8a1f-2b55a6e3de4d
|
||
# ╠═03e4d872-706a-4bd8-91e6-39ca90170616
|
||
# ╠═1b5563fa-9707-4b8d-802d-1c504e201a04
|
||
# ╟─d83c41b0-2efe-42e4-95cd-50270ec74659
|
||
# ╠═52517a45-e2d8-45a4-9f33-433b2f5db9b5
|
||
# ╟─12619d0f-01b6-44de-ba05-fe4fbe3d329a
|
||
# ╠═90f0da92-cf10-4309-8dcf-2713e384bd9b
|
||
# ╠═cb362a50-e9ac-4fba-a7b7-864edffce0f9
|
||
# ╠═5120d3e6-0c08-4661-b845-777a3b0fd9b3
|
||
# ╠═078d53ff-b48f-4e56-84ab-e2bab56d8ba2
|
||
# ╠═b323d5a8-b3ec-4dc2-98dd-a1d6a56de8d2
|
||
# ╟─e34a6736-6330-402c-9e94-6ad3d0cfa882
|
||
# ╟─84d48419-785a-4786-9eaf-000dab9257b1
|
||
# ╠═43b1f729-ef23-44ca-8e45-c76ba158848b
|
||
# ╠═af3f5d21-9ea3-46c2-9b85-bf42a6179f0a
|
||
# ╠═cf53e56a-3f21-4ba6-aae5-7b1e5fdc9623
|
||
# ╠═e8cc22d9-665e-4c0e-8af2-3b96d8f65d0b
|
||
# ╠═8639a662-0dd0-4921-8617-cf1b3770fbd9
|
||
# ╠═eee3a24f-78c0-47ad-8b35-56f2d76bb949
|
||
# ╠═5dc38b5c-156f-4450-8a8e-83379f88ea1d
|
||
# ╠═216e25b2-ccaf-40af-a10c-bb2e90155a7d
|
||
# ╠═2a0ca777-0323-4b23-8874-2d816daf6d1d
|
||
# ╟─a22c6bc7-c69c-4635-88a8-5a48d75fa1e1
|
||
# ╠═a18ece2e-9475-450a-83be-d6a23b9f6f47
|
||
# ╟─30108145-3f56-46b3-bedb-a66651e4b2d3
|
||
# ╠═d3e98246-2144-421d-9546-d57086a60e79
|
||
# ╠═0ef8b6b8-e4ad-4610-a2d6-5985830b23f3
|
||
# ╠═d2ca1322-f509-4045-8fb7-ae13dab22609
|
||
# ╟─9fe9acfc-e696-4f7d-8841-6325e9fd4733
|
||
# ╠═a183601a-33e8-413d-ae02-93407375edfc
|
||
# ╠═67740373-7db8-4e72-9098-77b288c14cc3
|
||
# ╟─7f458f26-0abe-4e16-911b-265da7f21a5b
|
||
# ╠═650aae02-8622-481e-8827-cb4c81e6fce5
|
||
# ╠═4be0d852-b22f-41dc-8de4-1025a38ce87c
|
||
# ╠═82952bba-d451-4bc0-8cf6-0823a9e2ceac
|
||
# ╠═9459bdf3-5ff4-48df-8007-b0ba0bed894d
|
||
# ╠═68a560b8-85bc-4077-9338-507c813f3a73
|
||
# ╠═078754ac-326d-4d55-a050-473b8f866960
|
||
# ╠═923ed671-b139-47b6-a10b-10cdc8c4b87a
|
||
# ╠═0335032b-06b9-4b9e-bc78-c21ce95c5bb3
|
||
# ╠═df0eda58-f1c9-4040-98e8-e1db173bb2f9
|
||
# ╠═01d400ee-953b-4f75-852a-b30f672acc31
|
||
# ╠═f6b50ef9-94d9-4f80-b778-ef00f3635279
|
||
# ╠═16db9976-fc91-4010-98fd-8d4cda6117d8
|
||
# ╠═5c79d594-a3a0-472e-a4cc-0c78df3ecf9d
|
||
# ╠═91e05e7f-70bd-4ded-9a1e-f62602386a40
|
||
# ╠═8ca87124-d990-422b-a9ce-eda1fceb4cb9
|
||
# ╠═f75e6776-e2a7-4a54-9bf9-e674d778bc66
|
||
# ╠═4a182660-f8ba-4a4b-a40b-73389459cad4
|
||
# ╟─00000000-0000-0000-0000-000000000001
|
||
# ╟─00000000-0000-0000-0000-000000000002
|