1529 lines
50 KiB
Julia
1529 lines
50 KiB
Julia
### A Pluto.jl notebook ###
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# v0.19.14
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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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# ╔═╡ d3c9d60e-19d1-11eb-064d-61814bb84582
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using Plots, PlutoUI, BenchmarkTools, FFTW, Test; gr(size = (640, 360)); PlutoUI.TableOfContents(depth=4)
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# ╔═╡ 147ff08c-19cf-11eb-341d-ed1c6568c0c7
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md"""
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# Numerical Methods of Medical Imaging - Exercise 2
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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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# ╔═╡ 58b50b7a-19cf-11eb-146e-a5405521ff5d
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md"""
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# Discrete and fast Fourier transform
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* 📅 Due date: 22.11.2022, 12 a.m.
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* You can earn 1 point for each task (6 points in total).
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"Fourier" taken from [xkcd](https://xkcd.com/26/) is licensed under [CC](https://en.wikipedia.org/wiki/en:Creative_Commons) [BY-NC 2.5](https://creativecommons.org/licenses/by-nc/2.5/) license.
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"""
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# ╔═╡ 4bec237c-19d1-11eb-27bd-13b1f2086f69
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md"""
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## Fourier Expansion
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It is possible to expand piecewise continuous functions $f:\mathbb{R}\rightarrow\mathbb{R}$ into a so-called Fourier series
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$f(x) = \sum_{k=-\infty}^{\infty} \hat{f}_k e^{-2\pi i k x}.$
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For 1-perioic functions, the Fourier coefficients $\hat f_k$ are given by the scalar product of $f$ with elements from the Fourier basis $\{e^{-2\pi i k x}\}_k$, i.e.
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$\hat f_k = \int_{0}^{1} f(x)e^{-2\pi i k x}dx$
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### 1. The Discrete Fourier Transform
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Whenever these coefficients can not be obtained analytically, discrete Fourier transformation provides an approximation up to a constant, which depends on the number of sampling points $N$
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$\hat f_k \propto \sum_{n=0}^{N-1} f_n e^{-\frac{2 \pi i k n}{N}},$
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with $f_n = f(\frac n N)$ and $n=0,1,\dots,N-1$.
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"""
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# ╔═╡ 800f28ce-19f3-11eb-0765-fd1c43b4bc19
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md"""
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Let
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$r(x) =
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\begin{cases}
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1 &\text{if } \vert x \vert < \frac 1 4\\
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\frac 1 2 & \text{if } \vert x \vert = \frac 1 4\\
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0 & \text{else}
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\end{cases}$
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be the 1-periodic rectangular function $r:\mathbb R \rightarrow \left[ 0,1 \right]$ given on the domain $x \in [-\frac 1 2,\frac 1 2 )$.
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"""
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# ╔═╡ 91726846-19d1-11eb-36e3-b1dc8f478323
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function r(x)
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y = rem(abs(x)+0.25,1.0)
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if y==0.5 || y==0.0
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return 0.5
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elseif y<0.5
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return 1.0
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else
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return 0.0
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end
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end
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# ╔═╡ e8936f28-19d1-11eb-32aa-efda10cd8210
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plot(range(-2,stop=2,length=500),r,
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xlabel = "x",
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ylabel = "y",
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title = "rectangular function",
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label = "r",
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lw = 2
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)
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# ╔═╡ 4e339c26-19f6-11eb-2296-e1e0f2fda2fe
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md"""
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#### 🎓 Task
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Implement a function `sample(f::Function, N::Integer=128)` to discretize $f$ into a vector $f_n = f(\frac n N)$ and $n=0,1,\dots,N-1$.
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Implement a function `dft(fns::Vector)` returning the discrete Fourier coefficients $\hat{f}_k$, $k=0,1,\dots,N-1$ as a vector.
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"""
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# ╔═╡ c3d9ef84-19fb-11eb-24ad-6f6671b3dec0
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@bind N Slider(1:128, default=32)
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# ╔═╡ d14ff6d4-19f3-11eb-17e6-773096878044
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begin
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function sample(f::Function, N::Integer=128)
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# this does not seem to be correct
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return ones(Float64,N)
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end
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function dft(fns::Vector)
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# this does not seem to be correct
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return ones(ComplexF64,length(fns))
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end
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end
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# ╔═╡ 018e0d2a-1b63-11eb-0841-6d88fc93a49f
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fns = sample(r,N)
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# ╔═╡ 6215a130-1b63-11eb-3b4b-99fd03bf750a
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scatter((0:N-1)/N,abs.(fns),
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xlabel = "k",
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ylabel = "abs.(fₖ)",
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title = "rectangular function",
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label = "sampled function r (N = $N)",
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lw = 2)
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# ╔═╡ 730e092a-19f4-11eb-0ac8-e946f31b3363
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fks = dft(fns)
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# ╔═╡ dbacee5a-19f5-11eb-1c1b-0d1ae9b92f0e
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scatter(0:N-1,abs.(fks),
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xlabel = "k",
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ylabel = "abs.(fₖ)",
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title = "rectangular function",
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label = "discrete Fourier coefficients (N = $N)",
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lw = 2,
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yscale = :log10)
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# ╔═╡ f918a2f0-1a85-11eb-2807-51f70d8984d7
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md"""
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### 2. The Inverse Discrete Fourier Transform
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The inverse discrete Fourier Transform for $n=0,\dots,N-1$ is given by
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$f_n = \frac{1}{N} \sum_{k=0}^{N-1} \hat f_k e^{\frac{2\pi i k n}{N}}.$
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#### 🎓 Task
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Implement the inverse of the discrete Fourier transform `idft(fks::Vector)` and test if `idft(dft(fns)) ≈ fns`.
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"""
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# ╔═╡ db0c98aa-1a8c-11eb-01b1-5dbfff26d33b
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function idft(fks::AbstractVector)
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# this does not seem to be correct
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return ones(ComplexF64,length(fks))
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end
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# ╔═╡ fb8ab86e-1a8c-11eb-0779-d9215f2c3f14
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fnsi = idft(fks)
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# ╔═╡ 975c3e5c-1b64-11eb-3136-4b9f0c1922d5
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@test fns ≈ fnsi
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# ╔═╡ 3103d282-1a8d-11eb-2b36-e508a89b3171
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scatter((0:N-1)/N,abs.(fnsi),
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xlabel = "k",
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ylabel = "abs.(fₖ)",
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title = "rectangular function",
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label = "idft(dft(fns)) (N = $N)",
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lw = 2)
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# ╔═╡ 32a544fe-19fc-11eb-2309-8509537cdb4d
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md"""
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### 3. The Complex Trigonometric Polynomial of Degree N
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The complex trigonometric polynomial of degree $N$ given by
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$p_N(x) = \begin{cases}
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\frac{1}{N} \left[ \hat{f}_0 + \hat{f}_1 e^{i 2\pi t} + \cdots + \hat{f}_{N/2-1} e^{i(N/2-1) 2\pi t} + \hat{f}_{N/2} \cos(N\pi t) + \hat{f}_{N/2+1} e^{i(-N/2+1) 2\pi t} + \cdots + \hat{f}_{N-1} e^{-i 2\pi t} \right],
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& N\text{ even} \\
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\frac{1}{N} \left[ \hat{f}_0 + \hat{f}_1 e^{i 2\pi t} + \cdots + \hat{f}_{\lfloor N/2 \rfloor} e^{i \lfloor N/2 \rfloor 2\pi t} + \hat{f}_{\lfloor N/2 \rfloor+1} e^{-i \lfloor N/2 \rfloor 2\pi t} + \cdots + \hat{f}_{N-1} e^{-i 2\pi t} \right],
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& N\text{ odd}
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\end{cases}$
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satisfies the interpolation property $p(n/N) = f_n$ for $n=0,\ldots,N-1$ and provides an approximation to the function from which the original DFT coefficients stem from.
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#### 🎓 Task
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Implement the `complexTrigonometricPolynomial(fks::AbstractVector,x)` and see if it approximates the original function using the Fourier coefficients of the rectangle function.
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"""
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# ╔═╡ ca622d7a-1a8d-11eb-3960-7b2cef5b540d
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function complexTrigonometricPolynomial(fks::AbstractVector,x)
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# this does not seem to be correct
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return one(ComplexF64)
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end
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# ╔═╡ e55a43a2-1a8f-11eb-32cc-e73ad807a202
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pr(x) = real(complexTrigonometricPolynomial(fks,x))
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# ╔═╡ 1d074a4a-1a90-11eb-2b14-ad6654f2a9af
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begin
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plot(range(-2,stop=2,length=500),r,
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xlabel = "x",
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ylabel = "y",
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title = "rectangular function",
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label = "r",
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lw = 2
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)
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plot!(range(-2,stop=2,length=500),pr,
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xlabel = "x",
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ylabel = "y",
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label = "p_N (N = $N)",
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lw = 2
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)
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end
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# ╔═╡ 867639d4-1ac3-11eb-0236-d50896ecbd11
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md"""
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### 4. Fourier Filter
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A Fourier filter is a type of signal filter which is based on the manipulation of specific frequency components of a signal, where all Fourier coefficients $\hat f_k$ are multiplied by a frequency specific factor $w_k$ for all $k=0,1,\dots,N-1$
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$\hat f_k \mapsto w_k \hat f_k.$
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Often so-called window functions are used to define the coefficients. One well-known window function is the the Hann window
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$w_k={\frac {1}{2}}\left[1+\cos \left({\frac {2\pi k}{N-1}}\right)\right].$
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#### 🎓 Task
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The overshot of the complex trigonometric polynomial at the edges of the recangle function is known as Gibbs phenomena. Check if filtering can help to reduce this phenomena.
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Implement the `hannFilter(N)` and filter the Fourier coefficients of the rectangle function. Use these and the original coefficients to compare their respective complex trigonometric polynomials.
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"""
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# ╔═╡ e37cdb34-1ac4-11eb-323e-f1d316774b5d
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function hannFilter(N)
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# this does not seem to be correct
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return ones(ComplexF64,N)
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end
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# ╔═╡ ea15a9c0-1ac5-11eb-31df-d16368be8d92
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fksFiltered = fks.*hannFilter(N)
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# ╔═╡ 3c74354a-1b7c-11eb-0936-671d831ae74d
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begin
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scatter(0:N-1,map(x->iszero(x) ? missing : x, abs.(fks)),
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xlabel = "k",
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ylabel = "abs.(fₖ)",
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title = "rectangular function",
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label = "discrete Fourier coefficients (N = $N)",
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lw = 2,
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yscale = :log10)
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scatter!(0:N-1,map(x->iszero(x) ? missing : x, abs.(fksFiltered)),
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xlabel = "k",
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ylabel = "abs.(fₖ)",
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label = "filtered discrete Fourier coefficients",
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lw = 2,
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yscale = :log10)
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end
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# ╔═╡ 00137b6c-1ac6-11eb-1874-c54f9797b035
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pFiltered(x) = real(complexTrigonometricPolynomial(fksFiltered,x))
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# ╔═╡ 1e728862-1ac6-11eb-204c-8feaf3874724
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begin
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plot(range(-2,stop=2,length=500),r,
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xlabel = "x",
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ylabel = "y",
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title = "rectangular function",
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label = "r",
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lw = 2
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)
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plot!(range(-2,stop=2,length=500),pr,
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xlabel = "x",
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ylabel = "y",
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label = "p_N (N = $N)",
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lw = 2
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)
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plot!(range(-2,stop=2,length=500),pFiltered,
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xlabel = "x",
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ylabel = "y",
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label = "p_N filtered",
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lw = 2
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)
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end
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# ╔═╡ 0e635470-1ab5-11eb-3ead-c96330845afb
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md"""
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### 5. Fast Fourier Transformation
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For a fast and efficient calculation of the Fourier coefficients the function `fft` of the `FFTW` package can be used.
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The following Benchmark shows the speedup.
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"""
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# ╔═╡ dc756532-1ab4-11eb-116d-0502731ad456
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@test fft(fns) ≈ dft(fns)
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# ╔═╡ ed60fce0-1ab3-11eb-09e4-7dfdcd494259
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b_dft = @benchmark dft($fns)
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# ╔═╡ 3e9ff912-1ab4-11eb-0977-1d5a23618723
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b_fft = @benchmark fft($fns)
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# ╔═╡ f3da4924-1b7a-11eb-277d-dbf45b22f5af
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md"""
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#### 🎓 Task
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Write a function `dftfaster(fns::Vector)` which speeds up your original implementation if this is possible. Try to avoid computations of `exp(im*ϕ)` and unneccessary allocations of memory. Further tips on performance can be found in the [julia documentation](https://docs.julialang.org/en/v1/manual/performance-tips/).
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"""
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# ╔═╡ 6c059a14-1ab5-11eb-2ca2-7d8bf4299714
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function dftfaster(fns::Vector)
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# this does not seem to be correct
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return ones(ComplexF64,length(fks))
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end
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# ╔═╡ e48966e0-1ab8-11eb-19ed-c7e8752b9838
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@test dftfaster(fns) ≈ fks
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# ╔═╡ ef01a9a4-1ab9-11eb-1796-cfa7726948d0
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b_dft2 = @benchmark dftfaster($fns)
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# ╔═╡ fcff99e0-1abf-11eb-2dbf-850b32db7108
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md"""
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### 6. Spectral Leakage
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Discrete Fourier transformation of a periodic signal assumes that a whole period of the signal is taken. But what happens if this assumption is violated?
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#### 🎓 Task
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Take the functions $\sin (2\pi x)$ and $\sin (2.1\pi x)$ and calculate their Fourier coefficients assuming that both functions are periodic with period length $1$. Plot and compare both spectra and the respective complex trigonometric polynomial of degree $N$.
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"""
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# ╔═╡ 1930182c-1ac0-11eb-1bda-3ff057b25970
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fkssin1 = dft(sample(x->sin(2*π*x),N))
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# ╔═╡ 8cc698e2-1ac0-11eb-0844-837ad17db528
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fkssin2 = dft(sample(x->sin(2.1*π*x),N))
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# ╔═╡ 9d1231ca-1ac0-11eb-04c5-4571e9851823
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begin
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scatter(0:N-1,abs.(fkssin2),
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xlabel = "k",
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ylabel = "abs.(fₖ)",
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title = "Fourier coefficients",
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label = "DFT(sin(2.1πx))",
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lw = 2,
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yscale = :log10)
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scatter!(0:N-1,abs.(fkssin1),
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xlabel = "k",
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ylabel = "abs.(fₖ)",
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title = "Fourier coefficients",
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label = "DFT(sin(2πx))",
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lw = 2,
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yscale = :log10)
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end
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# ╔═╡ 0ad8cbd0-1ac1-11eb-14c3-7b20fd63c023
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psin1(x) = real(complexTrigonometricPolynomial(fkssin1,x))
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# ╔═╡ 31fb3e26-1ac1-11eb-3529-21c456cba268
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psin2(x) = real(complexTrigonometricPolynomial(fkssin2,x))
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# ╔═╡ 44fced44-1ac1-11eb-163e-c9fd874bffd9
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begin
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plot(range(-2,stop=2,length=500),psin1,
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xlabel = "x",
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ylabel = "y",
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title = "complex trigonometric polynomial",
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label = "p_sin(2πx)",
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lw = 2
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)
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plot!(range(-2,stop=2,length=500),psin2,
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xlabel = "x",
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ylabel = "y",
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title = "complex trigonometric polynomial",
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label = "p_sin(2.1πx)",
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lw = 2
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)
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end
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# ╔═╡ d03112a7-0073-4290-90c3-b2e1f4089d9f
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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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# ╔═╡ 22c63176-05d1-4430-a92d-308a02b5e502
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# invisible test
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let
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fn32 = sample(r,32)
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fks32 = dft(fn32)
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if fn32[rand(union(1:8,26:32))]!=1.0 || fn32[9]!=0.5 || fn32[rand(10:24)]!=0.0
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keep_working(md"Your version of `sample` is not quite right.")
|
|
elseif !isapprox(fks32[1], 16.0+0.0im, atol=1e-6) || !isapprox(fks32[7], -6.05072e-15+7.77156e-16im, atol=1e-6) || !isapprox(fks32[16], -0.0984914-1.10467e-14im, atol=1e-6) || !isapprox(fks32[23], 9.60343e-15-9.65894e-15im, atol=1e-6)
|
|
keep_working(md"Your version of `dft` is not quite right.")
|
|
else
|
|
correct()
|
|
end
|
|
end
|
|
|
|
# ╔═╡ e7416b55-7513-4601-8fea-85688663a0ac
|
|
# invisible test
|
|
let
|
|
x = ones(ComplexF64,32)/32
|
|
y = zeros(ComplexF64,32); y[1]=1
|
|
if !isapprox(idft(y), x, atol=1e-6)
|
|
keep_working(md"Your version of `idft` is not quite right.")
|
|
else
|
|
correct()
|
|
end
|
|
end
|
|
|
|
# ╔═╡ 01f1afc4-a70f-40f2-a55e-eb64f6946539
|
|
# invisible test
|
|
let
|
|
fn32 = sample(r,32)
|
|
fks32 = dft(fn32)
|
|
pr32(x) = real(complexTrigonometricPolynomial(fks32,x))
|
|
if !isapprox(pr32(0.0),1.0,atol=1e-6) || !isapprox(pr32(0.25),0.5,atol=1e-6) || !isapprox(pr32(0.3),-0.0253537,atol=1e-6) || !isapprox(pr32(0.77),0.886791,atol=1e-6)
|
|
keep_working(md"Your version of `complexTrigonometricPolynomial` is not quite right.")
|
|
else
|
|
correct()
|
|
end
|
|
end
|
|
|
|
# ╔═╡ 0abdaefe-2c16-4315-a8c9-37287ce965b5
|
|
# invisible test
|
|
let
|
|
hf32 = hannFilter(32)
|
|
if !isapprox(hf32[1],1.0,atol=1e-6) || !isapprox(hf32[7],0.673653,atol=1e-6) || !isapprox(hf32[16],0.00256534,atol=1e-6) || !isapprox(hf32[23],0.374674,atol=1e-6)
|
|
keep_working(md"Your version of `hannFilter` is not quite right.")
|
|
else
|
|
correct()
|
|
end
|
|
end
|
|
|
|
# ╔═╡ b2e5f6d2-3095-4a2d-bdb2-6cbd53ade757
|
|
# invisible test
|
|
let
|
|
if !isapprox(dftfaster(fns), fks, atol=1e-6)
|
|
keep_working(md"`dftfaster` and `dft` do not yield the same results.")
|
|
elseif median(b_dft2).time >= median(b_dft).time
|
|
keep_working(md"`dftfaster` does not appear to be faster then `dft`.")
|
|
else
|
|
correct()
|
|
end
|
|
end
|
|
|
|
# ╔═╡ 00000000-0000-0000-0000-000000000001
|
|
PLUTO_PROJECT_TOML_CONTENTS = """
|
|
[deps]
|
|
BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
|
|
FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
|
|
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
|
|
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
|
|
Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
|
|
|
|
[compat]
|
|
BenchmarkTools = "~1.3.1"
|
|
FFTW = "~1.5.0"
|
|
Plots = "~1.35.2"
|
|
PlutoUI = "~0.7.43"
|
|
"""
|
|
|
|
# ╔═╡ 00000000-0000-0000-0000-000000000002
|
|
PLUTO_MANIFEST_TOML_CONTENTS = """
|
|
# This file is machine-generated - editing it directly is not advised
|
|
|
|
[[AbstractFFTs]]
|
|
deps = ["ChainRulesCore", "LinearAlgebra"]
|
|
git-tree-sha1 = "69f7020bd72f069c219b5e8c236c1fa90d2cb409"
|
|
uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
|
|
version = "1.2.1"
|
|
|
|
[[AbstractPlutoDingetjes]]
|
|
deps = ["Pkg"]
|
|
git-tree-sha1 = "8eaf9f1b4921132a4cff3f36a1d9ba923b14a481"
|
|
uuid = "6e696c72-6542-2067-7265-42206c756150"
|
|
version = "1.1.4"
|
|
|
|
[[ArgTools]]
|
|
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
|
|
version = "1.1.1"
|
|
|
|
[[Artifacts]]
|
|
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
|
|
|
|
[[Base64]]
|
|
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
|
|
|
|
[[BenchmarkTools]]
|
|
deps = ["JSON", "Logging", "Printf", "Profile", "Statistics", "UUIDs"]
|
|
git-tree-sha1 = "4c10eee4af024676200bc7752e536f858c6b8f93"
|
|
uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
|
|
version = "1.3.1"
|
|
|
|
[[BitFlags]]
|
|
git-tree-sha1 = "84259bb6172806304b9101094a7cc4bc6f56dbc6"
|
|
uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35"
|
|
version = "0.1.5"
|
|
|
|
[[Bzip2_jll]]
|
|
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
|
git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
|
|
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
|
|
version = "1.0.8+0"
|
|
|
|
[[Cairo_jll]]
|
|
deps = ["Artifacts", "Bzip2_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"
|
|
uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
|
|
version = "1.16.1+1"
|
|
|
|
[[ChainRulesCore]]
|
|
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
|
|
git-tree-sha1 = "e7ff6cadf743c098e08fca25c91103ee4303c9bb"
|
|
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
|
|
version = "1.15.6"
|
|
|
|
[[ChangesOfVariables]]
|
|
deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
|
|
git-tree-sha1 = "38f7a08f19d8810338d4f5085211c7dfa5d5bdd8"
|
|
uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
|
|
version = "0.1.4"
|
|
|
|
[[CodecZlib]]
|
|
deps = ["TranscodingStreams", "Zlib_jll"]
|
|
git-tree-sha1 = "ded953804d019afa9a3f98981d99b33e3db7b6da"
|
|
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
|
|
version = "0.7.0"
|
|
|
|
[[ColorSchemes]]
|
|
deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Random"]
|
|
git-tree-sha1 = "1fd869cc3875b57347f7027521f561cf46d1fcd8"
|
|
uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
|
|
version = "3.19.0"
|
|
|
|
[[ColorTypes]]
|
|
deps = ["FixedPointNumbers", "Random"]
|
|
git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4"
|
|
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
|
|
version = "0.11.4"
|
|
|
|
[[ColorVectorSpace]]
|
|
deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"]
|
|
git-tree-sha1 = "d08c20eef1f2cbc6e60fd3612ac4340b89fea322"
|
|
uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
|
|
version = "0.9.9"
|
|
|
|
[[Colors]]
|
|
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
|
|
git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40"
|
|
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
|
|
version = "0.12.8"
|
|
|
|
[[Compat]]
|
|
deps = ["Dates", "LinearAlgebra", "UUIDs"]
|
|
git-tree-sha1 = "3ca828fe1b75fa84b021a7860bd039eaea84d2f2"
|
|
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"
|
|
|
|
[[FFTW]]
|
|
deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
|
|
git-tree-sha1 = "90630efff0894f8142308e334473eba54c433549"
|
|
uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
|
|
version = "1.5.0"
|
|
|
|
[[FFTW_jll]]
|
|
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
|
git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea"
|
|
uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
|
|
version = "3.3.10+0"
|
|
|
|
[[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"
|
|
|
|
[[IntelOpenMP_jll]]
|
|
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
|
|
git-tree-sha1 = "d979e54b71da82f3a65b62553da4fc3d18c9004c"
|
|
uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
|
|
version = "2018.0.3+2"
|
|
|
|
[[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"
|
|
|
|
[[LazyArtifacts]]
|
|
deps = ["Artifacts", "Pkg"]
|
|
uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"
|
|
|
|
[[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"
|
|
|
|
[[MKL_jll]]
|
|
deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "Pkg"]
|
|
git-tree-sha1 = "41d162ae9c868218b1f3fe78cba878aa348c2d26"
|
|
uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
|
|
version = "2022.1.0+0"
|
|
|
|
[[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 = "3d5bf43e3e8b412656404ed9466f1dcbf7c50269"
|
|
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
|
|
version = "2.4.0"
|
|
|
|
[[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 = "65451f70d8d71bd9d06821c7a53adbed162454c9"
|
|
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
|
|
version = "1.35.2"
|
|
|
|
[[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"
|
|
|
|
[[Profile]]
|
|
deps = ["Printf"]
|
|
uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"
|
|
|
|
[[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"]
|
|
git-tree-sha1 = "017f217e647cf20b0081b9be938b78c3443356a0"
|
|
uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
|
|
version = "0.6.6"
|
|
|
|
[[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:
|
|
# ╟─147ff08c-19cf-11eb-341d-ed1c6568c0c7
|
|
# ╠═d3c9d60e-19d1-11eb-064d-61814bb84582
|
|
# ╟─58b50b7a-19cf-11eb-146e-a5405521ff5d
|
|
# ╟─4bec237c-19d1-11eb-27bd-13b1f2086f69
|
|
# ╟─800f28ce-19f3-11eb-0765-fd1c43b4bc19
|
|
# ╠═91726846-19d1-11eb-36e3-b1dc8f478323
|
|
# ╠═e8936f28-19d1-11eb-32aa-efda10cd8210
|
|
# ╟─4e339c26-19f6-11eb-2296-e1e0f2fda2fe
|
|
# ╠═c3d9ef84-19fb-11eb-24ad-6f6671b3dec0
|
|
# ╠═d14ff6d4-19f3-11eb-17e6-773096878044
|
|
# ╠═018e0d2a-1b63-11eb-0841-6d88fc93a49f
|
|
# ╠═6215a130-1b63-11eb-3b4b-99fd03bf750a
|
|
# ╠═730e092a-19f4-11eb-0ac8-e946f31b3363
|
|
# ╠═dbacee5a-19f5-11eb-1c1b-0d1ae9b92f0e
|
|
# ╟─22c63176-05d1-4430-a92d-308a02b5e502
|
|
# ╟─f918a2f0-1a85-11eb-2807-51f70d8984d7
|
|
# ╠═db0c98aa-1a8c-11eb-01b1-5dbfff26d33b
|
|
# ╠═fb8ab86e-1a8c-11eb-0779-d9215f2c3f14
|
|
# ╠═975c3e5c-1b64-11eb-3136-4b9f0c1922d5
|
|
# ╠═3103d282-1a8d-11eb-2b36-e508a89b3171
|
|
# ╟─e7416b55-7513-4601-8fea-85688663a0ac
|
|
# ╟─32a544fe-19fc-11eb-2309-8509537cdb4d
|
|
# ╠═ca622d7a-1a8d-11eb-3960-7b2cef5b540d
|
|
# ╠═e55a43a2-1a8f-11eb-32cc-e73ad807a202
|
|
# ╠═1d074a4a-1a90-11eb-2b14-ad6654f2a9af
|
|
# ╟─01f1afc4-a70f-40f2-a55e-eb64f6946539
|
|
# ╟─867639d4-1ac3-11eb-0236-d50896ecbd11
|
|
# ╠═e37cdb34-1ac4-11eb-323e-f1d316774b5d
|
|
# ╠═ea15a9c0-1ac5-11eb-31df-d16368be8d92
|
|
# ╠═3c74354a-1b7c-11eb-0936-671d831ae74d
|
|
# ╠═00137b6c-1ac6-11eb-1874-c54f9797b035
|
|
# ╠═1e728862-1ac6-11eb-204c-8feaf3874724
|
|
# ╟─0abdaefe-2c16-4315-a8c9-37287ce965b5
|
|
# ╟─0e635470-1ab5-11eb-3ead-c96330845afb
|
|
# ╠═dc756532-1ab4-11eb-116d-0502731ad456
|
|
# ╠═ed60fce0-1ab3-11eb-09e4-7dfdcd494259
|
|
# ╠═3e9ff912-1ab4-11eb-0977-1d5a23618723
|
|
# ╟─f3da4924-1b7a-11eb-277d-dbf45b22f5af
|
|
# ╠═6c059a14-1ab5-11eb-2ca2-7d8bf4299714
|
|
# ╠═e48966e0-1ab8-11eb-19ed-c7e8752b9838
|
|
# ╠═ef01a9a4-1ab9-11eb-1796-cfa7726948d0
|
|
# ╟─b2e5f6d2-3095-4a2d-bdb2-6cbd53ade757
|
|
# ╟─fcff99e0-1abf-11eb-2dbf-850b32db7108
|
|
# ╠═1930182c-1ac0-11eb-1bda-3ff057b25970
|
|
# ╠═8cc698e2-1ac0-11eb-0844-837ad17db528
|
|
# ╠═9d1231ca-1ac0-11eb-04c5-4571e9851823
|
|
# ╠═0ad8cbd0-1ac1-11eb-14c3-7b20fd63c023
|
|
# ╠═31fb3e26-1ac1-11eb-3529-21c456cba268
|
|
# ╠═44fced44-1ac1-11eb-163e-c9fd874bffd9
|
|
# ╟─d03112a7-0073-4290-90c3-b2e1f4089d9f
|
|
# ╟─00000000-0000-0000-0000-000000000001
|
|
# ╟─00000000-0000-0000-0000-000000000002
|