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September 8, 2020 09:19
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### A Pluto.jl notebook ### | |
# v0.11.12 | |
using Markdown | |
using InteractiveUtils | |
# ╔═╡ a8657c36-f1b1-11ea-2d91-ffd1be275a14 | |
begin | |
using WGLMakie | |
using AbstractPlotting | |
using AbstractPlotting.MakieLayout | |
using JSServe | |
using JSServe.DOM | |
using ForwardDiff | |
using LinearAlgebra | |
end | |
# ╔═╡ b69233d2-f1b1-11ea-1b33-e92338ad1a58 | |
begin | |
fx(x,y) = 0.7 - cos((x-y-2)/2) * exp(-y^2/5) | |
fy(x,y) = tanh((x + y)/5) | |
f(x,y) = [fx(x,y), fy(x,y)] | |
f(x) = f(x[1], x[2]) | |
Df(x) = ForwardDiff.jacobian(f, x) | |
xs = ys = range(-5, 5, length=50) | |
end | |
# ╔═╡ e9dfa956-f1b2-11ea-0d54-f3cf8fab2f40 | |
begin | |
x₀_slider = JSServe.Slider(range(-5, 5, length=101)) | |
y₀_slider = JSServe.Slider(range(-5, 5, length=101)) | |
Chord_fun = map((x,y) -> ((a,b) -> Point2(Df([x,y]) \ -f(a,b))), x₀_slider, y₀_slider) | |
JSServe.with_session() do s, r | |
return DOM.div(x₀_slider, y₀_slider) | |
end | |
end | |
# ╔═╡ 25c913fe-f1b2-11ea-0871-131bb69cde36 | |
begin | |
s2, l2 = layoutscene(resolution=(700,700)) | |
ax5 = l2[1:2,1] = LAxis(s2, title="MWE") | |
spb = streamplot!(ax5, Chord_fun, xs, ys) | |
s2 | |
end | |
# ╔═╡ Cell order: | |
# ╠═a8657c36-f1b1-11ea-2d91-ffd1be275a14 | |
# ╠═b69233d2-f1b1-11ea-1b33-e92338ad1a58 | |
# ╠═e9dfa956-f1b2-11ea-0d54-f3cf8fab2f40 | |
# ╠═25c913fe-f1b2-11ea-0871-131bb69cde36 |
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