1281 lines
42 KiB
Julia
1281 lines
42 KiB
Julia
### A Pluto.jl notebook ###
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# v0.19.12
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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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# ╔═╡ 46ad9248-1f4d-11eb-221f-f30d57d51ec8
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using LinearAlgebra, Plots, PlutoUI, Test; gr(size = (640, 360)); PlutoUI.TableOfContents(depth=4)
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# ╔═╡ 8341a830-1f4c-11eb-0eb9-a56689a7d0dd
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md"""
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# Numerical Methods of Medical Imaging - Exercise 3
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[Institute for Biomedical Imaging](https://www.tuhh.de/ibi/home.html), Hamburg University of Technology
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* 👨🏫 Prof. Dr. Tobias Knopp
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* 👨🏫 Dr. Martin Möddel
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"""
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# ╔═╡ 5e85ef46-1f4d-11eb-2462-5f791b7e7fab
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md"""
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# Computed Tomography - Part I
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* 📅 Due date: 22.11.2022, 12 a.m.
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* You can earn 1 point for each task (7 points in total).
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* 💣 Part II contains also a small coding challenge for those interested (1 bonus point).
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During radiography the object under examination is illuminated with an X-ray. When the ray passes the object it will be attenuated due to interactions with the matter of the object. Let $\mathbf r_0 \in \mathbb R^3$ be the source of an X-ray with intesity $I_0$ and $\mathbf d \in \mathbb R^3$, $\Vert \mathbf d \Vert_2 = 1$ its direction and $\mu:\mathbb R^3 \rightarrow \mathbb R$ the attenuation function. In this case the intensity of the X-ray changes as a function of the distance $L$ traveled
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$I(L) = I_0 \exp\left( -\int_0^L \mu(\mathbf r_0 + \eta \mathbf d)\text{d}\eta \right).$
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"""
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# ╔═╡ 0afcdbaa-1f7f-11eb-2431-8587364b58bc
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md"""
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## 1. Numerical Integration
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In most cases there will be no analytical solution to the definite integral above. However, we can use numerical integration for approximating its numerical value.
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One simple approximation is the **midpoint rule**
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$\int_a^b f(x)dx = \frac{b-a}{n} \sum_{i=1}^n f(a+\frac{2i-1}{2n}(b-a)),$
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which has an approximation error of $\mathcal O(n^{-2})$.
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#### 🎓 Task
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Write a function `lineint(μ::Function, r0::Vector, d::Vector, L, n::Int=42)` approximating
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$\int_0^L \mu(\mathbf r_0 + \eta \mathbf d)\text{d}\eta$
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using the midpoint rule.
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As a CT phantom, use the given function `μ` below. If your integration is correct the points in the scatter plot should tent to zero as `n` grows.
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"""
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# ╔═╡ bd4f7b4c-1f7e-11eb-2cfa-1b4285502c25
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# Integration by midpoint approximation
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function lineint(μ::Function, r0::Vector, d::Vector, L, n::Int=42)
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return 0.0
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end
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# ╔═╡ 755c5520-228b-11eb-0771-07920ef2599f
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md"""
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As you can see the approximation error does trend towards zero.
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#### 🎓 Task
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Find a sampling density `ρ` (samples per length), such that the approximation lies within 1% of the true value.
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"""
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# ╔═╡ 461d92d0-228e-11eb-12ba-01cf0666bb51
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md"""
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## 2. Forward Simulation X-ray
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Consider a point-like X-ray source located at $\mathbf r_0$ emitting X-rays isotropically in all directions. Furthermore, we have a quadratic detector consisting of $N\times N$ detector pixels at positions
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$\mathbf r(i,j) = \mathbf r_C + (i-1)\mathbf r_H + (j-1)\mathbf r_V\text{, }~i,j\in \left\{ 1,2,\dots,N \right\},$
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where $\mathbf r_C$ is the center position of one of its corner pixels and $\mathbf r_V$ and $\mathbf r_H$ describe the vertical and horizontal displacement between pixels.
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#### 🎓 Task
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Finish implementing the `simulateXRay` function below with grid size `N` and sampling density `ρ` by assigning
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$\int_0^L \mu(\mathbf r_0 + \eta \mathbf d)\text{d}\eta$
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to each image pixel. Take into account that $\mathbf d$ and $L$ depend on $\mathbf r(i,j)$.
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"""
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# ╔═╡ 1d46433a-2422-11eb-07e0-616de931d08e
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function simulateXRay(μ; N=32, r0=[0,0,4.0], ρ=100)
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# positioning of the detector pixels
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rC=[-2+2/N,-2+2/N,-2.0]
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rH=[4/N,0,0]
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rV=[0,4/N,0]
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xs=range(-2+2/N,step=4/N,length=N)
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ys=range(-2+2/N,step=4/N,length=N)
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image = zeros(Float64,N,N)
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# fill image array
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return xs,ys,image
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end
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# ╔═╡ c717292e-2454-11eb-2d27-3d31328e127e
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md"""
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You can use the slider to adjust the norm, which is used to generate the phantom.
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"""
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# ╔═╡ 99d09612-24bd-11eb-00bc-f95aba59ee48
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@bind l Slider(1:0.25:10, default=2, show_value=true)
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# ╔═╡ 4a1696a4-1f53-11eb-2928-1f9c4c08b052
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# Let μ be a sphere with radius R
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function μ(r; R=0.5, center=zero(r))
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return norm(r-center,l)<=R ? 1.0 : 0.0
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end
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# ╔═╡ 222c3b28-1f97-11eb-299f-ebd4b3068af7
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begin
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# This plot will vary each run, since the integral domain is randomized
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x1 = -1-rand()
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x2 = 1+rand()
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scatter(1:100,map(n->lineint(μ,[x1,0,0],[1.0,0,0],x2-x1,n).-1,1:100),
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xlabel = "n",
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ylabel = "absolute error",
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title = "numerical approximation",
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label = "midpoint approximation",
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lw = 2)
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end
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# ╔═╡ e7c5f5b6-200c-11eb-1f02-abd451c88763
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test = @testset "Tune sampling density" begin
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ρ = 1 # adjust this value
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for i in 1:5 # increase this value if you are sure your solution works
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x1 = -0.5*(1+rand()) # randomize the start and end of the integration path
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x2 = 0.5*(1+rand())
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n = round(Int,ρ*(x2-x1))
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@test lineint(μ,[x1,0,0],[1.0,0,0],x2-x1,n) ≈ 1 rtol=1e-2
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end
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end
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# ╔═╡ 01862dcc-2427-11eb-156a-9b28fbf45eae
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heatmap(simulateXRay(μ,r0=[0,0,4.0])...,
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c = :viridis,
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clims = (0,1),
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xlims = (-2,2),
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ylims = (-2,2),
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aspect_ratio = 1,
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xlabel = "x",
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ylabel = "y"
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)
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# ╔═╡ 1e1557a0-2455-11eb-3e04-5941f59980f5
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md"""
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## 3. The 2D Radon Transform
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The Radon transformation is given by
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$p(\xi,\gamma) = \int_{-\infty}^\infty \mu(\xi \cos\gamma - \eta \sin\gamma, \xi\sin \gamma +\eta \cos\gamma)\text{d}\eta,$
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where $\mu(x,y)$ is the value of the attanuation coefficient in the $xy$-plane at $z=0$.
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#### 🎓 Task
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Use your formerly implemented `lineint` function to implement the `radon` transform providing a sinogram of the CT-phantom for $(\xi,\gamma) \in [-1/\sqrt{2},1/\sqrt{2}]\times[0,\pi]$.
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To do so bring the integral above into the form
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$\int_0^L \mu(\mathbf r_0 + \eta \mathbf d)\text{d}\eta.$
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To this end you will need finite boundaries. Therefore, assume that $\mu$ is zero outside the unit cube $\left[-0.5,0.5\right]^3$.
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"""
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# ╔═╡ ca583bc0-24c0-11eb-3ae6-3b03e0aa0e4f
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# Radon transform
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function radon(μ::Function;M=50,N=45,ρ=100)
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ξs=range(-1/sqrt(2)*(1-1/M),step=2/sqrt(2)/M,length=M)
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γs = range(0.0,step=π/N,length=N)
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image = zeros(Float64,M,N)
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# fill sinogram
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return γs,ξs,image
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end
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# ╔═╡ 24b40adc-27ef-11eb-38b3-2b4ea644f301
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md"""
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Use the sliders to see how different paramters affect the sinogram of the CT-phantom `μ`. You can alter the phantom's size by changing `R`, or it's center position $(r_0\sin\alpha,r_0\cos\alpha)$ by altering `r0`and `α`.
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"""
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# ╔═╡ c716d1a2-27e4-11eb-34b7-db9e54629ea1
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@bind R Slider(0.0:0.05:0.5, default=0.2, show_value=true)
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# ╔═╡ 503b5766-27e5-11eb-1895-b74224e0b451
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@bind r0 Slider(0.0:0.05:0.5-R, default=0.0, show_value=true)
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# ╔═╡ 2124c640-27e5-11eb-2374-939fdd7a00da
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@bind α Slider(0.0:π/10:2*π, default=0.0, show_value=true)
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# ╔═╡ eabf8e4c-28c4-11eb-2ab1-7b73d2d7350f
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heatmap(simulateXRay(r->μ(r,R=R,center=[r0*sin(α),r0*cos(α),0.0]),r0=[0,0,2.0])...,
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c = :viridis,
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xlims = (-2,2),
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ylims = (-2,2),
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aspect_ratio = 1,
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xlabel = "x",
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ylabel = "y"
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)
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# ╔═╡ 28bd1c20-24ef-11eb-3ef4-8d1edfd56134
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begin
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γ,ξ,sinogram = radon(r->μ(r,R=R,center=[r0*sin(α),r0*cos(α),0.0]))
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heatmap(γ,ξ,sinogram,
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c = :viridis,
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xlims = (γ[1],γ[end]),
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ylims = (ξ[1],ξ[end]),
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aspect_ratio = 1,
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xlabel = "γ",
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ylabel = "ξ"
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)
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end
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# ╔═╡ 79fd7402-22a0-4d69-83c2-c7c7f4ff47ce
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begin
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hint(text) = Markdown.MD(Markdown.Admonition("hint", "Hint", [text]))
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not_defined(variable_name) = Markdown.MD(Markdown.Admonition("danger", "Oh, oh! 😱", [md"Variable **$(Markdown.Code(string(variable_name)))** is not defined. You should probably do something about this."]))
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failed_test(text=md"Some tests failed. Keep working on it!") = Markdown.MD(Markdown.Admonition("danger", "Oh, oh! 😱", [text]))
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still_missing(text=md"Replace `missing` with your solution.") = Markdown.MD(Markdown.Admonition("warning", "Let's go!", [text]))
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keep_working(text=md"The answer is not quite right.") = Markdown.MD(Markdown.Admonition("danger", "Keep working on it!", [text]));
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yays = [md"Great! 🥳", md"Correct! 👏", md"Tada! 🎉"]
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correct(text=md"$(rand(yays)) Let's move on to the next task.") = Markdown.MD(Markdown.Admonition("correct", "Got it!", [text]))
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end;
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# ╔═╡ ff065b66-4d90-46fc-8eb6-dafda1a760d6
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let μtest(r) = norm(r,2)<=0.5 ? 1.0 : 0.0
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if !(isapprox(lineint(μtest,[0,0,0],[1,0,0],1),0.5,atol=1e-6)) || !(isapprox(lineint(μtest,[-0.5,0,0],[1,0,0],1),1.0,atol=1e-6))
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keep_working(md"Your version of `lineint` is not quite right.")
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else
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correct()
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end
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end
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# ╔═╡ 5eedf9c6-9a18-4a6d-974b-60cf80048135
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@isdefined(test) ? correct() : failed_test()
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# ╔═╡ 31874144-fa05-448f-a041-415164ae5dbd
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let x = zeros(5,5); x[3,3] = 1.0; μtest(r) = norm(r,2)<=0.5 ? 1.0 : 0.0
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if !(isapprox(x,simulateXRay(μtest; N=5, r0=[0,0,4.0], ρ=4)[3],atol=1e-6))
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keep_working(md"Your version of `simulateXRay` is not quite right.")
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else
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correct()
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end
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end
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# ╔═╡ 71b30948-f981-44a0-a5c2-43d52aff3ad6
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let x=[0.0 0.0 0.0 0.0
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0.932779 0.932779 0.932779 0.932779
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0.932779 0.932779 0.932779 0.932779
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0.0 0.0 0.0 0.0]; μtest(r) = norm(r,2)<=0.5 ? 1.0 : 0.0
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if !(isapprox(x,radon(μtest,M=4,N=4)[3],atol=1e-6))
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keep_working(md"Your version of `radon` is not quite right.")
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else
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correct()
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end
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end
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# ╔═╡ 00000000-0000-0000-0000-000000000001
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PLUTO_PROJECT_TOML_CONTENTS = """
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[deps]
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LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
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Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
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PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
|
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Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
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[compat]
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Plots = "~1.35.3"
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PlutoUI = "~0.7.43"
|
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"""
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# ╔═╡ 00000000-0000-0000-0000-000000000002
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PLUTO_MANIFEST_TOML_CONTENTS = """
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# This file is machine-generated - editing it directly is not advised
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|
||
[[AbstractPlutoDingetjes]]
|
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deps = ["Pkg"]
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git-tree-sha1 = "8eaf9f1b4921132a4cff3f36a1d9ba923b14a481"
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uuid = "6e696c72-6542-2067-7265-42206c756150"
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version = "1.1.4"
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[[ArgTools]]
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version = "1.1.1"
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[[Artifacts]]
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[[Base64]]
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[[ColorSchemes]]
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deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Random"]
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git-tree-sha1 = "1fd869cc3875b57347f7027521f561cf46d1fcd8"
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[[ColorTypes]]
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deps = ["FixedPointNumbers", "Random"]
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[[ColorVectorSpace]]
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deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"]
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git-tree-sha1 = "d08c20eef1f2cbc6e60fd3612ac4340b89fea322"
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[[Colors]]
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deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
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git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40"
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uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
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version = "0.12.8"
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[[Compat]]
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deps = ["Dates", "LinearAlgebra", "UUIDs"]
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git-tree-sha1 = "3ca828fe1b75fa84b021a7860bd039eaea84d2f2"
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||
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
|
||
version = "4.3.0"
|
||
|
||
[[CompilerSupportLibraries_jll]]
|
||
deps = ["Artifacts", "Libdl"]
|
||
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
|
||
version = "0.5.2+0"
|
||
|
||
[[Contour]]
|
||
git-tree-sha1 = "d05d9e7b7aedff4e5b51a029dced05cfb6125781"
|
||
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
|
||
version = "0.6.2"
|
||
|
||
[[DataAPI]]
|
||
git-tree-sha1 = "46d2680e618f8abd007bce0c3026cb0c4a8f2032"
|
||
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
|
||
version = "1.12.0"
|
||
|
||
[[DataStructures]]
|
||
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
|
||
git-tree-sha1 = "d1fff3a548102f48987a52a2e0d114fa97d730f0"
|
||
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
|
||
version = "0.18.13"
|
||
|
||
[[Dates]]
|
||
deps = ["Printf"]
|
||
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
|
||
|
||
[[DelimitedFiles]]
|
||
deps = ["Mmap"]
|
||
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
|
||
|
||
[[DocStringExtensions]]
|
||
deps = ["LibGit2"]
|
||
git-tree-sha1 = "5158c2b41018c5f7eb1470d558127ac274eca0c9"
|
||
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
|
||
version = "0.9.1"
|
||
|
||
[[Downloads]]
|
||
deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
|
||
uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
|
||
version = "1.6.0"
|
||
|
||
[[Expat_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "bad72f730e9e91c08d9427d5e8db95478a3c323d"
|
||
uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
|
||
version = "2.4.8+0"
|
||
|
||
[[FFMPEG]]
|
||
deps = ["FFMPEG_jll"]
|
||
git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
|
||
uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
|
||
version = "0.4.1"
|
||
|
||
[[FFMPEG_jll]]
|
||
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "PCRE2_jll", "Pkg", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
|
||
git-tree-sha1 = "74faea50c1d007c85837327f6775bea60b5492dd"
|
||
uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
|
||
version = "4.4.2+2"
|
||
|
||
[[FileWatching]]
|
||
uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
|
||
|
||
[[FixedPointNumbers]]
|
||
deps = ["Statistics"]
|
||
git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
|
||
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
|
||
version = "0.8.4"
|
||
|
||
[[Fontconfig_jll]]
|
||
deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"]
|
||
git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03"
|
||
uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
|
||
version = "2.13.93+0"
|
||
|
||
[[Formatting]]
|
||
deps = ["Printf"]
|
||
git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
|
||
uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
|
||
version = "0.4.2"
|
||
|
||
[[FreeType2_jll]]
|
||
deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
|
||
git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9"
|
||
uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
|
||
version = "2.10.4+0"
|
||
|
||
[[FriBidi_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91"
|
||
uuid = "559328eb-81f9-559d-9380-de523a88c83c"
|
||
version = "1.0.10+0"
|
||
|
||
[[GLFW_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll"]
|
||
git-tree-sha1 = "d972031d28c8c8d9d7b41a536ad7bb0c2579caca"
|
||
uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
|
||
version = "3.3.8+0"
|
||
|
||
[[GR]]
|
||
deps = ["Base64", "DelimitedFiles", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Preferences", "Printf", "Random", "Serialization", "Sockets", "Test", "UUIDs"]
|
||
git-tree-sha1 = "cf7bf90e483228f6c988e474b420064e5351b892"
|
||
uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
|
||
version = "0.69.4"
|
||
|
||
[[GR_jll]]
|
||
deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Pkg", "Qt5Base_jll", "Zlib_jll", "libpng_jll"]
|
||
git-tree-sha1 = "bc9f7725571ddb4ab2c4bc74fa397c1c5ad08943"
|
||
uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
|
||
version = "0.69.1+0"
|
||
|
||
[[Gettext_jll]]
|
||
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
|
||
git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046"
|
||
uuid = "78b55507-aeef-58d4-861c-77aaff3498b1"
|
||
version = "0.21.0+0"
|
||
|
||
[[Glib_jll]]
|
||
deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Pkg", "Zlib_jll"]
|
||
git-tree-sha1 = "fb83fbe02fe57f2c068013aa94bcdf6760d3a7a7"
|
||
uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
|
||
version = "2.74.0+1"
|
||
|
||
[[Graphite2_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
|
||
uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
|
||
version = "1.3.14+0"
|
||
|
||
[[Grisu]]
|
||
git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
|
||
uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
|
||
version = "1.0.2"
|
||
|
||
[[HTTP]]
|
||
deps = ["Base64", "CodecZlib", "Dates", "IniFile", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
|
||
git-tree-sha1 = "4abede886fcba15cd5fd041fef776b230d004cee"
|
||
uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
|
||
version = "1.4.0"
|
||
|
||
[[HarfBuzz_jll]]
|
||
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
|
||
git-tree-sha1 = "129acf094d168394e80ee1dc4bc06ec835e510a3"
|
||
uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
|
||
version = "2.8.1+1"
|
||
|
||
[[Hyperscript]]
|
||
deps = ["Test"]
|
||
git-tree-sha1 = "8d511d5b81240fc8e6802386302675bdf47737b9"
|
||
uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91"
|
||
version = "0.0.4"
|
||
|
||
[[HypertextLiteral]]
|
||
deps = ["Tricks"]
|
||
git-tree-sha1 = "c47c5fa4c5308f27ccaac35504858d8914e102f9"
|
||
uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2"
|
||
version = "0.9.4"
|
||
|
||
[[IOCapture]]
|
||
deps = ["Logging", "Random"]
|
||
git-tree-sha1 = "f7be53659ab06ddc986428d3a9dcc95f6fa6705a"
|
||
uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
|
||
version = "0.2.2"
|
||
|
||
[[IniFile]]
|
||
git-tree-sha1 = "f550e6e32074c939295eb5ea6de31849ac2c9625"
|
||
uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f"
|
||
version = "0.5.1"
|
||
|
||
[[InteractiveUtils]]
|
||
deps = ["Markdown"]
|
||
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
|
||
|
||
[[InverseFunctions]]
|
||
deps = ["Test"]
|
||
git-tree-sha1 = "49510dfcb407e572524ba94aeae2fced1f3feb0f"
|
||
uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
|
||
version = "0.1.8"
|
||
|
||
[[IrrationalConstants]]
|
||
git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
|
||
uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
|
||
version = "0.1.1"
|
||
|
||
[[JLFzf]]
|
||
deps = ["Pipe", "REPL", "Random", "fzf_jll"]
|
||
git-tree-sha1 = "f377670cda23b6b7c1c0b3893e37451c5c1a2185"
|
||
uuid = "1019f520-868f-41f5-a6de-eb00f4b6a39c"
|
||
version = "0.1.5"
|
||
|
||
[[JLLWrappers]]
|
||
deps = ["Preferences"]
|
||
git-tree-sha1 = "abc9885a7ca2052a736a600f7fa66209f96506e1"
|
||
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
|
||
version = "1.4.1"
|
||
|
||
[[JSON]]
|
||
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
|
||
git-tree-sha1 = "3c837543ddb02250ef42f4738347454f95079d4e"
|
||
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
|
||
version = "0.21.3"
|
||
|
||
[[JpegTurbo_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "b53380851c6e6664204efb2e62cd24fa5c47e4ba"
|
||
uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
|
||
version = "2.1.2+0"
|
||
|
||
[[LAME_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
|
||
uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
|
||
version = "3.100.1+0"
|
||
|
||
[[LERC_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434"
|
||
uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
|
||
version = "3.0.0+1"
|
||
|
||
[[LZO_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
|
||
uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
|
||
version = "2.10.1+0"
|
||
|
||
[[LaTeXStrings]]
|
||
git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996"
|
||
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
|
||
version = "1.3.0"
|
||
|
||
[[Latexify]]
|
||
deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Printf", "Requires"]
|
||
git-tree-sha1 = "ab9aa169d2160129beb241cb2750ca499b4e90e9"
|
||
uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
|
||
version = "0.15.17"
|
||
|
||
[[LibCURL]]
|
||
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
|
||
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
|
||
version = "0.6.3"
|
||
|
||
[[LibCURL_jll]]
|
||
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
|
||
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
|
||
version = "7.84.0+0"
|
||
|
||
[[LibGit2]]
|
||
deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
|
||
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
|
||
|
||
[[LibSSH2_jll]]
|
||
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
|
||
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
|
||
version = "1.10.2+0"
|
||
|
||
[[Libdl]]
|
||
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
|
||
|
||
[[Libffi_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290"
|
||
uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
|
||
version = "3.2.2+1"
|
||
|
||
[[Libgcrypt_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"]
|
||
git-tree-sha1 = "64613c82a59c120435c067c2b809fc61cf5166ae"
|
||
uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
|
||
version = "1.8.7+0"
|
||
|
||
[[Libglvnd_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
|
||
git-tree-sha1 = "7739f837d6447403596a75d19ed01fd08d6f56bf"
|
||
uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
|
||
version = "1.3.0+3"
|
||
|
||
[[Libgpg_error_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9"
|
||
uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
|
||
version = "1.42.0+0"
|
||
|
||
[[Libiconv_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "42b62845d70a619f063a7da093d995ec8e15e778"
|
||
uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
|
||
version = "1.16.1+1"
|
||
|
||
[[Libmount_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73"
|
||
uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
|
||
version = "2.35.0+0"
|
||
|
||
[[Libtiff_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "Pkg", "Zlib_jll", "Zstd_jll"]
|
||
git-tree-sha1 = "3eb79b0ca5764d4799c06699573fd8f533259713"
|
||
uuid = "89763e89-9b03-5906-acba-b20f662cd828"
|
||
version = "4.4.0+0"
|
||
|
||
[[Libuuid_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066"
|
||
uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
|
||
version = "2.36.0+0"
|
||
|
||
[[LinearAlgebra]]
|
||
deps = ["Libdl", "libblastrampoline_jll"]
|
||
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
|
||
|
||
[[LogExpFunctions]]
|
||
deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
|
||
git-tree-sha1 = "94d9c52ca447e23eac0c0f074effbcd38830deb5"
|
||
uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
|
||
version = "0.3.18"
|
||
|
||
[[Logging]]
|
||
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
|
||
|
||
[[LoggingExtras]]
|
||
deps = ["Dates", "Logging"]
|
||
git-tree-sha1 = "5d4d2d9904227b8bd66386c1138cf4d5ffa826bf"
|
||
uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
|
||
version = "0.4.9"
|
||
|
||
[[MacroTools]]
|
||
deps = ["Markdown", "Random"]
|
||
git-tree-sha1 = "42324d08725e200c23d4dfb549e0d5d89dede2d2"
|
||
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
|
||
version = "0.5.10"
|
||
|
||
[[Markdown]]
|
||
deps = ["Base64"]
|
||
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
|
||
|
||
[[MbedTLS]]
|
||
deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "Random", "Sockets"]
|
||
git-tree-sha1 = "6872f9594ff273da6d13c7c1a1545d5a8c7d0c1c"
|
||
uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
|
||
version = "1.1.6"
|
||
|
||
[[MbedTLS_jll]]
|
||
deps = ["Artifacts", "Libdl"]
|
||
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
|
||
version = "2.28.0+0"
|
||
|
||
[[Measures]]
|
||
git-tree-sha1 = "e498ddeee6f9fdb4551ce855a46f54dbd900245f"
|
||
uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
|
||
version = "0.3.1"
|
||
|
||
[[Missings]]
|
||
deps = ["DataAPI"]
|
||
git-tree-sha1 = "bf210ce90b6c9eed32d25dbcae1ebc565df2687f"
|
||
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
|
||
version = "1.0.2"
|
||
|
||
[[Mmap]]
|
||
uuid = "a63ad114-7e13-5084-954f-fe012c677804"
|
||
|
||
[[MozillaCACerts_jll]]
|
||
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
|
||
version = "2022.2.1"
|
||
|
||
[[NaNMath]]
|
||
deps = ["OpenLibm_jll"]
|
||
git-tree-sha1 = "a7c3d1da1189a1c2fe843a3bfa04d18d20eb3211"
|
||
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
|
||
version = "1.0.1"
|
||
|
||
[[NetworkOptions]]
|
||
uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
|
||
version = "1.2.0"
|
||
|
||
[[Ogg_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f"
|
||
uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
|
||
version = "1.3.5+1"
|
||
|
||
[[OpenBLAS_jll]]
|
||
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
|
||
uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
|
||
version = "0.3.20+0"
|
||
|
||
[[OpenLibm_jll]]
|
||
deps = ["Artifacts", "Libdl"]
|
||
uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
|
||
version = "0.8.1+0"
|
||
|
||
[[OpenSSL]]
|
||
deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
|
||
git-tree-sha1 = "ebe81469e9d7b471d7ddb611d9e147ea16de0add"
|
||
uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c"
|
||
version = "1.2.1"
|
||
|
||
[[OpenSSL_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "e60321e3f2616584ff98f0a4f18d98ae6f89bbb3"
|
||
uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
|
||
version = "1.1.17+0"
|
||
|
||
[[OpenSpecFun_jll]]
|
||
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
|
||
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
|
||
version = "0.5.5+0"
|
||
|
||
[[Opus_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720"
|
||
uuid = "91d4177d-7536-5919-b921-800302f37372"
|
||
version = "1.3.2+0"
|
||
|
||
[[OrderedCollections]]
|
||
git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
|
||
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
|
||
version = "1.4.1"
|
||
|
||
[[PCRE2_jll]]
|
||
deps = ["Artifacts", "Libdl"]
|
||
uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15"
|
||
version = "10.40.0+0"
|
||
|
||
[[Parsers]]
|
||
deps = ["Dates"]
|
||
git-tree-sha1 = "595c0b811cf2bab8b0849a70d9bd6379cc1cfb52"
|
||
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
|
||
version = "2.4.1"
|
||
|
||
[[Pipe]]
|
||
git-tree-sha1 = "6842804e7867b115ca9de748a0cf6b364523c16d"
|
||
uuid = "b98c9c47-44ae-5843-9183-064241ee97a0"
|
||
version = "1.3.0"
|
||
|
||
[[Pixman_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29"
|
||
uuid = "30392449-352a-5448-841d-b1acce4e97dc"
|
||
version = "0.40.1+0"
|
||
|
||
[[Pkg]]
|
||
deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
|
||
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
|
||
version = "1.8.0"
|
||
|
||
[[PlotThemes]]
|
||
deps = ["PlotUtils", "Statistics"]
|
||
git-tree-sha1 = "8162b2f8547bc23876edd0c5181b27702ae58dce"
|
||
uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
|
||
version = "3.0.0"
|
||
|
||
[[PlotUtils]]
|
||
deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "SnoopPrecompile", "Statistics"]
|
||
git-tree-sha1 = "21303256d239f6b484977314674aef4bb1fe4420"
|
||
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
|
||
version = "1.3.1"
|
||
|
||
[[Plots]]
|
||
deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SnoopPrecompile", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "Unzip"]
|
||
git-tree-sha1 = "524d9ff1b2f4473fef59678c06f9f77160a204b1"
|
||
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
|
||
version = "1.35.3"
|
||
|
||
[[PlutoUI]]
|
||
deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "Markdown", "Random", "Reexport", "UUIDs"]
|
||
git-tree-sha1 = "2777a5c2c91b3145f5aa75b61bb4c2eb38797136"
|
||
uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
|
||
version = "0.7.43"
|
||
|
||
[[Preferences]]
|
||
deps = ["TOML"]
|
||
git-tree-sha1 = "47e5f437cc0e7ef2ce8406ce1e7e24d44915f88d"
|
||
uuid = "21216c6a-2e73-6563-6e65-726566657250"
|
||
version = "1.3.0"
|
||
|
||
[[Printf]]
|
||
deps = ["Unicode"]
|
||
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
|
||
|
||
[[Qt5Base_jll]]
|
||
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "xkbcommon_jll"]
|
||
git-tree-sha1 = "c6c0f690d0cc7caddb74cef7aa847b824a16b256"
|
||
uuid = "ea2cea3b-5b76-57ae-a6ef-0a8af62496e1"
|
||
version = "5.15.3+1"
|
||
|
||
[[REPL]]
|
||
deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
|
||
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
|
||
|
||
[[Random]]
|
||
deps = ["SHA", "Serialization"]
|
||
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
|
||
|
||
[[RecipesBase]]
|
||
deps = ["SnoopPrecompile"]
|
||
git-tree-sha1 = "612a4d76ad98e9722c8ba387614539155a59e30c"
|
||
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
|
||
version = "1.3.0"
|
||
|
||
[[RecipesPipeline]]
|
||
deps = ["Dates", "NaNMath", "PlotUtils", "RecipesBase", "SnoopPrecompile"]
|
||
git-tree-sha1 = "9b1c0c8e9188950e66fc28f40bfe0f8aac311fe0"
|
||
uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
|
||
version = "0.6.7"
|
||
|
||
[[Reexport]]
|
||
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
|
||
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
|
||
version = "1.2.2"
|
||
|
||
[[RelocatableFolders]]
|
||
deps = ["SHA", "Scratch"]
|
||
git-tree-sha1 = "90bc7a7c96410424509e4263e277e43250c05691"
|
||
uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
|
||
version = "1.0.0"
|
||
|
||
[[Requires]]
|
||
deps = ["UUIDs"]
|
||
git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
|
||
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
|
||
version = "1.3.0"
|
||
|
||
[[SHA]]
|
||
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
|
||
version = "0.7.0"
|
||
|
||
[[Scratch]]
|
||
deps = ["Dates"]
|
||
git-tree-sha1 = "f94f779c94e58bf9ea243e77a37e16d9de9126bd"
|
||
uuid = "6c6a2e73-6563-6170-7368-637461726353"
|
||
version = "1.1.1"
|
||
|
||
[[Serialization]]
|
||
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
|
||
|
||
[[Showoff]]
|
||
deps = ["Dates", "Grisu"]
|
||
git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
|
||
uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
|
||
version = "1.0.3"
|
||
|
||
[[SimpleBufferStream]]
|
||
git-tree-sha1 = "874e8867b33a00e784c8a7e4b60afe9e037b74e1"
|
||
uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7"
|
||
version = "1.1.0"
|
||
|
||
[[SnoopPrecompile]]
|
||
git-tree-sha1 = "f604441450a3c0569830946e5b33b78c928e1a85"
|
||
uuid = "66db9d55-30c0-4569-8b51-7e840670fc0c"
|
||
version = "1.0.1"
|
||
|
||
[[Sockets]]
|
||
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
|
||
|
||
[[SortingAlgorithms]]
|
||
deps = ["DataStructures"]
|
||
git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
|
||
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
|
||
version = "1.0.1"
|
||
|
||
[[SparseArrays]]
|
||
deps = ["LinearAlgebra", "Random"]
|
||
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
|
||
|
||
[[SpecialFunctions]]
|
||
deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
|
||
git-tree-sha1 = "d75bda01f8c31ebb72df80a46c88b25d1c79c56d"
|
||
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
|
||
version = "2.1.7"
|
||
|
||
[[Statistics]]
|
||
deps = ["LinearAlgebra", "SparseArrays"]
|
||
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
|
||
|
||
[[StatsAPI]]
|
||
deps = ["LinearAlgebra"]
|
||
git-tree-sha1 = "f9af7f195fb13589dd2e2d57fdb401717d2eb1f6"
|
||
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
|
||
version = "1.5.0"
|
||
|
||
[[StatsBase]]
|
||
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
|
||
git-tree-sha1 = "d1bf48bfcc554a3761a133fe3a9bb01488e06916"
|
||
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
|
||
version = "0.33.21"
|
||
|
||
[[TOML]]
|
||
deps = ["Dates"]
|
||
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
|
||
version = "1.0.0"
|
||
|
||
[[Tar]]
|
||
deps = ["ArgTools", "SHA"]
|
||
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
|
||
version = "1.10.1"
|
||
|
||
[[TensorCore]]
|
||
deps = ["LinearAlgebra"]
|
||
git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6"
|
||
uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50"
|
||
version = "0.1.1"
|
||
|
||
[[Test]]
|
||
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
|
||
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
|
||
|
||
[[TranscodingStreams]]
|
||
deps = ["Random", "Test"]
|
||
git-tree-sha1 = "8a75929dcd3c38611db2f8d08546decb514fcadf"
|
||
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
|
||
version = "0.9.9"
|
||
|
||
[[Tricks]]
|
||
git-tree-sha1 = "6bac775f2d42a611cdfcd1fb217ee719630c4175"
|
||
uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
|
||
version = "0.1.6"
|
||
|
||
[[URIs]]
|
||
git-tree-sha1 = "e59ecc5a41b000fa94423a578d29290c7266fc10"
|
||
uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
|
||
version = "1.4.0"
|
||
|
||
[[UUIDs]]
|
||
deps = ["Random", "SHA"]
|
||
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
|
||
|
||
[[Unicode]]
|
||
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
|
||
|
||
[[UnicodeFun]]
|
||
deps = ["REPL"]
|
||
git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
|
||
uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
|
||
version = "0.4.1"
|
||
|
||
[[Unzip]]
|
||
git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78"
|
||
uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
|
||
version = "0.2.0"
|
||
|
||
[[Wayland_jll]]
|
||
deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
|
||
git-tree-sha1 = "3e61f0b86f90dacb0bc0e73a0c5a83f6a8636e23"
|
||
uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
|
||
version = "1.19.0+0"
|
||
|
||
[[Wayland_protocols_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "4528479aa01ee1b3b4cd0e6faef0e04cf16466da"
|
||
uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
|
||
version = "1.25.0+0"
|
||
|
||
[[XML2_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
|
||
git-tree-sha1 = "58443b63fb7e465a8a7210828c91c08b92132dff"
|
||
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
|
||
version = "2.9.14+0"
|
||
|
||
[[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"
|
||
|
||
[[Xorg_libX11_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
|
||
git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527"
|
||
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
|
||
version = "1.6.9+4"
|
||
|
||
[[Xorg_libXau_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
|
||
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
|
||
version = "1.0.9+4"
|
||
|
||
[[Xorg_libXcursor_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
|
||
git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
|
||
uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
|
||
version = "1.2.0+4"
|
||
|
||
[[Xorg_libXdmcp_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
|
||
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
|
||
version = "1.1.3+4"
|
||
|
||
[[Xorg_libXext_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
|
||
git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3"
|
||
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
|
||
version = "1.3.4+4"
|
||
|
||
[[Xorg_libXfixes_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
|
||
git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
|
||
uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
|
||
version = "5.0.3+4"
|
||
|
||
[[Xorg_libXi_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
|
||
git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
|
||
uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
|
||
version = "1.7.10+4"
|
||
|
||
[[Xorg_libXinerama_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
|
||
git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
|
||
uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
|
||
version = "1.1.4+4"
|
||
|
||
[[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"
|
||
|
||
[[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"
|
||
|
||
[[Xorg_libpthread_stubs_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb"
|
||
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
|
||
version = "0.1.0+3"
|
||
|
||
[[Xorg_libxcb_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
|
||
git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6"
|
||
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
|
||
version = "1.13.0+3"
|
||
|
||
[[Xorg_libxkbfile_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
|
||
git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2"
|
||
uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
|
||
version = "1.1.0+4"
|
||
|
||
[[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"
|
||
|
||
[[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"
|
||
|
||
[[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"
|
||
|
||
[[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"
|
||
|
||
[[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"
|
||
|
||
[[Xorg_xkbcomp_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"]
|
||
git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b"
|
||
uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
|
||
version = "1.4.2+4"
|
||
|
||
[[Xorg_xkeyboard_config_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"]
|
||
git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d"
|
||
uuid = "33bec58e-1273-512f-9401-5d533626f822"
|
||
version = "2.27.0+4"
|
||
|
||
[[Xorg_xtrans_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
|
||
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
|
||
version = "1.4.0+3"
|
||
|
||
[[Zlib_jll]]
|
||
deps = ["Libdl"]
|
||
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
|
||
version = "1.2.12+3"
|
||
|
||
[[Zstd_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "e45044cd873ded54b6a5bac0eb5c971392cf1927"
|
||
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
|
||
version = "1.5.2+0"
|
||
|
||
[[fzf_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "868e669ccb12ba16eaf50cb2957ee2ff61261c56"
|
||
uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
|
||
version = "0.29.0+0"
|
||
|
||
[[libaom_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4"
|
||
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
|
||
version = "3.4.0+0"
|
||
|
||
[[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"
|
||
|
||
[[libblastrampoline_jll]]
|
||
deps = ["Artifacts", "Libdl", "OpenBLAS_jll"]
|
||
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
|
||
version = "5.1.1+0"
|
||
|
||
[[libfdk_aac_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
|
||
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
|
||
version = "2.0.2+0"
|
||
|
||
[[libpng_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
|
||
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
|
||
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
|
||
version = "1.6.38+0"
|
||
|
||
[[libvorbis_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
|
||
git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c"
|
||
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
|
||
version = "1.3.7+1"
|
||
|
||
[[nghttp2_jll]]
|
||
deps = ["Artifacts", "Libdl"]
|
||
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
|
||
version = "1.48.0+0"
|
||
|
||
[[p7zip_jll]]
|
||
deps = ["Artifacts", "Libdl"]
|
||
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
|
||
version = "17.4.0+0"
|
||
|
||
[[x264_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
|
||
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
|
||
version = "2021.5.5+0"
|
||
|
||
[[x265_jll]]
|
||
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
||
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
|
||
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
|
||
version = "3.5.0+0"
|
||
|
||
[[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:
|
||
# ╟─8341a830-1f4c-11eb-0eb9-a56689a7d0dd
|
||
# ╠═46ad9248-1f4d-11eb-221f-f30d57d51ec8
|
||
# ╟─5e85ef46-1f4d-11eb-2462-5f791b7e7fab
|
||
# ╟─0afcdbaa-1f7f-11eb-2431-8587364b58bc
|
||
# ╠═4a1696a4-1f53-11eb-2928-1f9c4c08b052
|
||
# ╠═bd4f7b4c-1f7e-11eb-2cfa-1b4285502c25
|
||
# ╟─ff065b66-4d90-46fc-8eb6-dafda1a760d6
|
||
# ╠═222c3b28-1f97-11eb-299f-ebd4b3068af7
|
||
# ╟─755c5520-228b-11eb-0771-07920ef2599f
|
||
# ╠═e7c5f5b6-200c-11eb-1f02-abd451c88763
|
||
# ╟─5eedf9c6-9a18-4a6d-974b-60cf80048135
|
||
# ╟─461d92d0-228e-11eb-12ba-01cf0666bb51
|
||
# ╠═1d46433a-2422-11eb-07e0-616de931d08e
|
||
# ╟─31874144-fa05-448f-a041-415164ae5dbd
|
||
# ╟─c717292e-2454-11eb-2d27-3d31328e127e
|
||
# ╟─99d09612-24bd-11eb-00bc-f95aba59ee48
|
||
# ╠═01862dcc-2427-11eb-156a-9b28fbf45eae
|
||
# ╟─1e1557a0-2455-11eb-3e04-5941f59980f5
|
||
# ╠═ca583bc0-24c0-11eb-3ae6-3b03e0aa0e4f
|
||
# ╟─71b30948-f981-44a0-a5c2-43d52aff3ad6
|
||
# ╟─24b40adc-27ef-11eb-38b3-2b4ea644f301
|
||
# ╠═c716d1a2-27e4-11eb-34b7-db9e54629ea1
|
||
# ╠═503b5766-27e5-11eb-1895-b74224e0b451
|
||
# ╠═2124c640-27e5-11eb-2374-939fdd7a00da
|
||
# ╟─eabf8e4c-28c4-11eb-2ab1-7b73d2d7350f
|
||
# ╟─28bd1c20-24ef-11eb-3ef4-8d1edfd56134
|
||
# ╟─79fd7402-22a0-4d69-83c2-c7c7f4ff47ce
|
||
# ╟─00000000-0000-0000-0000-000000000001
|
||
# ╟─00000000-0000-0000-0000-000000000002
|