Implementing the explorable mandelbrot set is so much easier with this PR!
ht…tps://github.com/fonsp/Pluto.jl/assets/12846528/009a01c1-8ad5-49c5-b7e1-98ff68ac8c5e
This code simply recomputes the mandelbrot set with a fixed number of points per dimension (500 over x and 500 over y) over the current range of the axes of the plot. So it is recomputed upon zoom or upon panning.
The notebook code hidden below should use the version of AbstractPlutoDingetjes from this branch, but it will be overwritten to the latest registered version when adding or removing packages (I believe)
<details>
<summary>Notebook Code</summary>
```julia
### A Pluto.jl notebook ###
# v0.19.32
using Markdown
using InteractiveUtils
# ╔═╡ d6a4d6f0-8920-11ee-1360-dbb4ff626eb6
begin
using PlutoPlotly
using HypertextLiteral
using AbstractPlutoDingetjes
end
# ╔═╡ b4655ee1-dfe3-47a4-8b19-48c9fb2b6349
# This code is taken from a Mandelbrot notebook shared in https://discourse.julialang.org/t/mandelbrot-with-plots-jl/52410
begin
to_range(raw_range, n) = range(minimum(raw_range), maximum(raw_range); length=n)
function mandel(z:: Complex)
c = z
maxiter = 128
for n = 1:maxiter
if abs2(z) > 4
return n-1
end
z = z^2 + c
end
return maxiter
end
function mandel_slice!(grid, ix, x, yrange)
@inbounds for (iy, y) in enumerate(yrange)
grid[iy, ix] = mandel(Complex(x,y))
end
end
function mandel_grid(xrange, yrange)
grid = Matrix{UInt8}(undef, length(xrange), length(yrange))
futures = Vector{Task}(undef, length(xrange))
@inbounds for (ix, x) in enumerate(xrange)
futures[ix] = Threads.@spawn mandel_slice!(grid, ix, x, yrange)
end
wait.(futures)
grid
end
end
# ╔═╡ 059bbb92-5a68-46d7-a210-69fc1ce91aff
let # This code generates the plot with re-computation upon zooming
n = 500
x = to_range([-1, 1], n)
y = to_range([-1, 1], n)
z = mandel_grid(x,y)
data = heatmap(;x,y,z)
p = plot(data, Layout(xaxis_range = [-1, 1], yaxis = attr(;
range = [-1,1],
scaleanchor = "x",
scaleratio = 1,
)))
add_plotly_listener!(p, "plotly_relayout", htl_js("async (e) => {
let xrange = PLOT._fullLayout.xaxis.range
let yrange = PLOT._fullLayout.yaxis.range
if (PLOT.updated_data == undefined) {return}
console.log(PLOT.updated_data)
let update = await PLOT.updated_data({x: xrange, y: yrange})
Plotly.restyle(PLOT, update)
}"))
f(d) = let
x = range(d["x"]..., n) |> collect
y = range(d["y"]..., n) |> collect
z = mandel_grid(x,y) |> PlutoPlotly._preprocess
out = (;
x = [x],
y = [y],
z = [z],
)
out
end
@htl("""
$p
<script>
const plt = currentScript.closest('pluto-cell').querySelector('.js-plotly-plot')
plt.updated_data = $(AbstractPlutoDingetjes.Display.with_js_link(f))
</script>
""")
end
# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
AbstractPlutoDingetjes = "6e696c72-6542-2067-7265-42206c756150"
HypertextLiteral = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2"
PlutoPlotly = "8e989ff0-3d88-8e9f-f020-2b208a939ff0"
[compat]
AbstractPlutoDingetjes = "~1.2.0"
HypertextLiteral = "~0.9.5"
PlutoPlotly = "~0.4.3"
"""
# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
# This file is machine-generated - editing it directly is not advised
julia_version = "1.10.0-beta3"
manifest_format = "2.0"
project_hash = "cc56535668b6e8901cb9ab7a99dbc6e210e21f3b"
[[deps.AbstractPlutoDingetjes]]
deps = ["Pkg"]
git-tree-sha1 = "308ee5441d5a481d4ce0152d04f3ef411b05c2b4"
repo-rev = "Display.with_js_link"
repo-url = "https://github.com/JuliaPluto/AbstractPlutoDingetjes.jl.git"
uuid = "6e696c72-6542-2067-7265-42206c756150"
version = "1.2.0"
[[deps.ArgTools]]
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
version = "1.1.1"
[[deps.Artifacts]]
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
[[deps.Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
[[deps.BaseDirs]]
git-tree-sha1 = "1c9b6f39f40dba0ef22244a175e2d4e42c8f6ee7"
uuid = "18cc8868-cbac-4acf-b575-c8ff214dc66f"
version = "1.2.0"
[[deps.ColorSchemes]]
deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
git-tree-sha1 = "67c1f244b991cad9b0aa4b7540fb758c2488b129"
uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
version = "3.24.0"
[[deps.ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.11.4"
[[deps.ColorVectorSpace]]
deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "Requires", "Statistics", "TensorCore"]
git-tree-sha1 = "a1f44953f2382ebb937d60dafbe2deea4bd23249"
uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
version = "0.10.0"
[deps.ColorVectorSpace.extensions]
SpecialFunctionsExt = "SpecialFunctions"
[deps.ColorVectorSpace.weakdeps]
SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"
[[deps.Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
git-tree-sha1 = "fc08e5930ee9a4e03f84bfb5211cb54e7769758a"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.12.10"
[[deps.CompilerSupportLibraries_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
version = "1.0.5+1"
[[deps.Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
[[deps.DelimitedFiles]]
deps = ["Mmap"]
git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae"
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
version = "1.9.1"
[[deps.DocStringExtensions]]
deps = ["LibGit2"]
git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.9.3"
[[deps.Downloads]]
deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
version = "1.6.0"
[[deps.FileWatching]]
uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
[[deps.FixedPointNumbers]]
deps = ["Statistics"]
git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.8.4"
[[deps.HypertextLiteral]]
deps = ["Tricks"]
git-tree-sha1 = "7134810b1afce04bbc1045ca1985fbe81ce17653"
uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2"
version = "0.9.5"
[[deps.InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
[[deps.JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.4"
[[deps.LaTeXStrings]]
git-tree-sha1 = "50901ebc375ed41dbf8058da26f9de442febbbec"
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
version = "1.3.1"
[[deps.LibCURL]]
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
version = "0.6.4"
[[deps.LibCURL_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
version = "8.0.1+1"
[[deps.LibGit2]]
deps = ["Base64", "LibGit2_jll", "NetworkOptions", "Printf", "SHA"]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
[[deps.LibGit2_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll"]
uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5"
version = "1.6.4+0"
[[deps.LibSSH2_jll]]
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
version = "1.11.0+1"
[[deps.Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
[[deps.LinearAlgebra]]
deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
[[deps.Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
[[deps.Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
[[deps.MbedTLS_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
version = "2.28.2+1"
[[deps.Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"
[[deps.MozillaCACerts_jll]]
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
version = "2023.1.10"
[[deps.NetworkOptions]]
uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
version = "1.2.0"
[[deps.OpenBLAS_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
version = "0.3.23+2"
[[deps.OrderedCollections]]
git-tree-sha1 = "2e73fe17cac3c62ad1aebe70d44c963c3cfdc3e3"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.6.2"
[[deps.Parameters]]
deps = ["OrderedCollections", "UnPack"]
git-tree-sha1 = "34c0e9ad262e5f7fc75b10a9952ca7692cfc5fbe"
uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
version = "0.12.3"
[[deps.Parsers]]
deps = ["Dates", "PrecompileTools", "UUIDs"]
git-tree-sha1 = "a935806434c9d4c506ba941871b327b96d41f2bf"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "2.8.0"
[[deps.Pkg]]
deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
version = "1.10.0"
[[deps.PlotlyBase]]
deps = ["ColorSchemes", "Dates", "DelimitedFiles", "DocStringExtensions", "JSON", "LaTeXStrings", "Logging", "Parameters", "Pkg", "REPL", "Requires", "Statistics", "UUIDs"]
git-tree-sha1 = "56baf69781fc5e61607c3e46227ab17f7040ffa2"
uuid = "a03496cd-edff-5a9b-9e67-9cda94a718b5"
version = "0.8.19"
[[deps.PlutoPlotly]]
deps = ["AbstractPlutoDingetjes", "BaseDirs", "Colors", "Dates", "Downloads", "HypertextLiteral", "InteractiveUtils", "LaTeXStrings", "Markdown", "Pkg", "PlotlyBase", "Reexport", "TOML"]
git-tree-sha1 = "0b8880a45f96d8404ae1cf6e4d715e3a79369441"
uuid = "8e989ff0-3d88-8e9f-f020-2b208a939ff0"
version = "0.4.3"
[deps.PlutoPlotly.extensions]
PlotlyKaleidoExt = "PlotlyKaleido"
UnitfulExt = "Unitful"
[deps.PlutoPlotly.weakdeps]
PlotlyKaleido = "f2990250-8cf9-495f-b13a-cce12b45703c"
Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
[[deps.PrecompileTools]]
deps = ["Preferences"]
git-tree-sha1 = "03b4c25b43cb84cee5c90aa9b5ea0a78fd848d2f"
uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
version = "1.2.0"
[[deps.Preferences]]
deps = ["TOML"]
git-tree-sha1 = "00805cd429dcb4870060ff49ef443486c262e38e"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.4.1"
[[deps.Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
[[deps.REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
[[deps.Random]]
deps = ["SHA"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
[[deps.Reexport]]
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "1.2.2"
[[deps.Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.3.0"
[[deps.SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
version = "0.7.0"
[[deps.Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
[[deps.Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
[[deps.SparseArrays]]
deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
version = "1.10.0"
[[deps.Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
version = "1.10.0"
[[deps.SuiteSparse_jll]]
deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"]
uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
version = "7.2.0+1"
[[deps.TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
version = "1.0.3"
[[deps.Tar]]
deps = ["ArgTools", "SHA"]
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
version = "1.10.0"
[[deps.TensorCore]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6"
uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50"
version = "0.1.1"
[[deps.Tricks]]
git-tree-sha1 = "eae1bb484cd63b36999ee58be2de6c178105112f"
uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
version = "0.1.8"
[[deps.UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
[[deps.UnPack]]
git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
version = "1.0.2"
[[deps.Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
[[deps.Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
version = "1.2.13+1"
[[deps.libblastrampoline_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
version = "5.8.0+1"
[[deps.nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
version = "1.52.0+1"
[[deps.p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
version = "17.4.0+2"
"""
# ╔═╡ Cell order:
# ╠═d6a4d6f0-8920-11ee-1360-dbb4ff626eb6
# ╠═b4655ee1-dfe3-47a4-8b19-48c9fb2b6349
# ╠═059bbb92-5a68-46d7-a210-69fc1ce91aff
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002
```
</details>