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Cellular Automaton in Julia + Pluto
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### A Pluto.jl notebook ### | |
# v0.19.19 | |
using Markdown | |
using InteractiveUtils | |
# 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). | |
macro bind(def, element) | |
quote | |
local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end | |
local el = $(esc(element)) | |
global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el) | |
el | |
end | |
end | |
# ╔═╡ fde81af2-8905-11ed-15a5-3fb763d219f3 | |
begin | |
using Images | |
using IterTools: partition | |
end | |
# ╔═╡ 3d83e95a-0a72-4f49-a0b7-0acb92e58e03 | |
using PlutoUI | |
# ╔═╡ 54e49691-9ac3-4645-ad98-c923b7e55be8 | |
using BenchmarkTools | |
# ╔═╡ dae64957-0856-4188-92cc-75da43f91efd | |
begin | |
struct Rule | |
c0 | |
c1 | |
c2 | |
c3 | |
c4 | |
c5 | |
c6 | |
c7 | |
function Rule(n::Int) | |
!(0 ≤ n ≤ 256) || ArgumentError("Input n must satisfy 0 ≤ n ≤ 256") | |
new(digits(n, base=2, pad=8)...) | |
end | |
end | |
end | |
# ╔═╡ 0c18d598-4eb2-43cf-acd2-67811312e7b0 | |
undigits(d; base = 2) = foldr((a, b) -> muladd(base, b, a), d, init=0) | |
# ╔═╡ 9969d32f-9069-47f2-bf35-f9f2d5075d9e | |
function convolve(r::Rule, b1::Bool, b2::Bool, b3::Bool) | |
n = undigits((b1, b2, b3), base=2) | |
n == 0 && return r.c0 | |
n == 1 && return r.c1 | |
n == 2 && return r.c2 | |
n == 3 && return r.c3 | |
n == 4 && return r.c4 | |
n == 5 && return r.c5 | |
n == 6 && return r.c6 | |
n == 7 && return r.c7 | |
end | |
# ╔═╡ 7ecf687c-6d16-4357-91d2-f5a047184097 | |
function update!(dst::AbstractVector, inp::AbstractVector, rule::Rule) | |
for (r1, r2, r3) in partition(eachindex(inp, dst), 3, 1) | |
x1 = inp[r1] | |
x2 = inp[r2] | |
x3 = inp[r3] | |
dst[r2] = convolve(rule, x1, x2, x3) | |
end | |
end | |
# ╔═╡ c1ddf2ea-f920-4bf8-a07f-74f2268cc557 | |
function draw!(canvas::AbstractMatrix, rule::Rule) | |
inp = canvas[:, begin] | |
fid = axes(canvas, 2) |> first | |
for c in axes(canvas, 2) | |
c ≤ fid && continue | |
dst = @view canvas[:, c] | |
update!(dst, inp, rule) | |
inp .= dst | |
end | |
end | |
# ╔═╡ ce184eff-e5ed-4d0e-89bf-f30874994125 | |
function draw!(canvas::AbstractMatrix, rule::Rule, c::Int) | |
dst = @view canvas[:, c] | |
fid = axes(canvas, 2) |> first | |
if fid < c | |
inp = canvas[:, c - 1] | |
update!(dst, inp, rule) | |
end | |
return canvas | |
end | |
# ╔═╡ 3a9cf537-e168-401a-8d24-9563aa095ee4 | |
rule_selector = @bind n Select(0:256, default=90) | |
# ╔═╡ 4594bf0c-3d4f-4f9f-83ae-966a6cc032e5 | |
begin | |
H = 100 | |
W = 100 | |
canvas = zeros(Bool, H, W) | |
inp = zeros(Bool, H) | |
# setup inp | |
inp[H ÷ 2] = 1 | |
canvas[:, begin] .= inp | |
# setup rule | |
rule = Rule(n) | |
draw!(canvas, rule) | |
end | |
# ╔═╡ f6b675a2-1040-4b8d-acd1-377863f7768b | |
rule_selector | |
# ╔═╡ 4b6d25e8-2bad-42c5-953c-f07eea0767ff | |
begin | |
anicanvas = zeros(Bool, H, W) | |
@bind t Clock(0.1, false, false, size(anicanvas, 2)) | |
end | |
# ╔═╡ 912cad0b-5c8a-4cb9-926a-173d33dc503c | |
begin | |
# setup inp | |
anicanvas[H÷2, begin] = 1 | |
@show t | |
draw!(anicanvas, rule, t) | |
colorview(Gray, anicanvas') | |
end | |
# ╔═╡ 00000000-0000-0000-0000-000000000001 | |
PLUTO_PROJECT_TOML_CONTENTS = """ | |
[deps] | |
BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf" | |
Images = "916415d5-f1e6-5110-898d-aaa5f9f070e0" | |
IterTools = "c8e1da08-722c-5040-9ed9-7db0dc04731e" | |
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" | |
[compat] | |
BenchmarkTools = "~1.3.2" | |
Images = "~0.25.2" | |
IterTools = "~1.4.0" | |
PlutoUI = "~0.7.49" | |
""" | |
# ╔═╡ 00000000-0000-0000-0000-000000000002 | |
PLUTO_MANIFEST_TOML_CONTENTS = """ | |
# This file is machine-generated - editing it directly is not advised | |
julia_version = "1.8.4" | |
manifest_format = "2.0" | |
project_hash = "0a4264df9e7f73c09a978d22f4b58f28438000f3" | |
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version = "1.2.1" | |
[[deps.AbstractPlutoDingetjes]] | |
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git-tree-sha1 = "8eaf9f1b4921132a4cff3f36a1d9ba923b14a481" | |
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[[deps.Adapt]] | |
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version = "3.4.0" | |
[[deps.ArgTools]] | |
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" | |
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[[deps.ArnoldiMethod]] | |
deps = ["LinearAlgebra", "Random", "StaticArrays"] | |
git-tree-sha1 = "62e51b39331de8911e4a7ff6f5aaf38a5f4cc0ae" | |
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[[deps.Artifacts]] | |
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[[deps.AxisArrays]] | |
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[[deps.Base64]] | |
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[[deps.BenchmarkTools]] | |
deps = ["JSON", "Logging", "Printf", "Profile", "Statistics", "UUIDs"] | |
git-tree-sha1 = "d9a9701b899b30332bbcb3e1679c41cce81fb0e8" | |
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git-tree-sha1 = "a6f404cc44d3d3b28c793ec0eb59af709d827e4e" | |
uuid = "47aef6b3-ad0c-573a-a1e2-d07658019622" | |
version = "1.2.1" | |
[[deps.Sixel]] | |
deps = ["Dates", "FileIO", "ImageCore", "IndirectArrays", "OffsetArrays", "REPL", "libsixel_jll"] | |
git-tree-sha1 = "8fb59825be681d451c246a795117f317ecbcaa28" | |
uuid = "45858cf5-a6b0-47a3-bbea-62219f50df47" | |
version = "0.1.2" | |
[[deps.SnoopPrecompile]] | |
git-tree-sha1 = "f604441450a3c0569830946e5b33b78c928e1a85" | |
uuid = "66db9d55-30c0-4569-8b51-7e840670fc0c" | |
version = "1.0.1" | |
[[deps.Sockets]] | |
uuid = "6462fe0b-24de-5631-8697-dd941f90decc" | |
[[deps.SortingAlgorithms]] | |
deps = ["DataStructures"] | |
git-tree-sha1 = "a4ada03f999bd01b3a25dcaa30b2d929fe537e00" | |
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c" | |
version = "1.1.0" | |
[[deps.SparseArrays]] | |
deps = ["LinearAlgebra", "Random"] | |
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" | |
[[deps.SpecialFunctions]] | |
deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"] | |
git-tree-sha1 = "d75bda01f8c31ebb72df80a46c88b25d1c79c56d" | |
uuid = "276daf66-3868-5448-9aa4-cd146d93841b" | |
version = "2.1.7" | |
[[deps.StackViews]] | |
deps = ["OffsetArrays"] | |
git-tree-sha1 = "46e589465204cd0c08b4bd97385e4fa79a0c770c" | |
uuid = "cae243ae-269e-4f55-b966-ac2d0dc13c15" | |
version = "0.1.1" | |
[[deps.StaticArrays]] | |
deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"] | |
git-tree-sha1 = "6954a456979f23d05085727adb17c4551c19ecd1" | |
uuid = "90137ffa-7385-5640-81b9-e52037218182" | |
version = "1.5.12" | |
[[deps.StaticArraysCore]] | |
git-tree-sha1 = "6b7ba252635a5eff6a0b0664a41ee140a1c9e72a" | |
uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c" | |
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[[deps.Statistics]] | |
deps = ["LinearAlgebra", "SparseArrays"] | |
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" | |
[[deps.StatsAPI]] | |
deps = ["LinearAlgebra"] | |
git-tree-sha1 = "f9af7f195fb13589dd2e2d57fdb401717d2eb1f6" | |
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0" | |
version = "1.5.0" | |
[[deps.StatsBase]] | |
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"] | |
git-tree-sha1 = "d1bf48bfcc554a3761a133fe3a9bb01488e06916" | |
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91" | |
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[[deps.TOML]] | |
deps = ["Dates"] | |
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76" | |
version = "1.0.0" | |
[[deps.Tar]] | |
deps = ["ArgTools", "SHA"] | |
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e" | |
version = "1.10.1" | |
[[deps.TensorCore]] | |
deps = ["LinearAlgebra"] | |
git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6" | |
uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50" | |
version = "0.1.1" | |
[[deps.Test]] | |
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] | |
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" | |
[[deps.TiffImages]] | |
deps = ["ColorTypes", "DataStructures", "DocStringExtensions", "FileIO", "FixedPointNumbers", "IndirectArrays", "Inflate", "Mmap", "OffsetArrays", "PkgVersion", "ProgressMeter", "UUIDs"] | |
git-tree-sha1 = "7e6b0e3e571be0b4dd4d2a9a3a83b65c04351ccc" | |
uuid = "731e570b-9d59-4bfa-96dc-6df516fadf69" | |
version = "0.6.3" | |
[[deps.TiledIteration]] | |
deps = ["OffsetArrays"] | |
git-tree-sha1 = "5683455224ba92ef59db72d10690690f4a8dc297" | |
uuid = "06e1c1a7-607b-532d-9fad-de7d9aa2abac" | |
version = "0.3.1" | |
[[deps.TranscodingStreams]] | |
deps = ["Random", "Test"] | |
git-tree-sha1 = "e4bdc63f5c6d62e80eb1c0043fcc0360d5950ff7" | |
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa" | |
version = "0.9.10" | |
[[deps.Tricks]] | |
git-tree-sha1 = "6bac775f2d42a611cdfcd1fb217ee719630c4175" | |
uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775" | |
version = "0.1.6" | |
[[deps.URIs]] | |
git-tree-sha1 = "ac00576f90d8a259f2c9d823e91d1de3fd44d348" | |
uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4" | |
version = "1.4.1" | |
[[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.WoodburyMatrices]] | |
deps = ["LinearAlgebra", "SparseArrays"] | |
git-tree-sha1 = "de67fa59e33ad156a590055375a30b23c40299d3" | |
uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6" | |
version = "0.5.5" | |
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deps = ["Libdl"] | |
uuid = "83775a58-1f1d-513f-b197-d71354ab007a" | |
version = "1.2.12+3" | |
[[deps.Zstd_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
git-tree-sha1 = "e45044cd873ded54b6a5bac0eb5c971392cf1927" | |
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" | |
version = "1.5.2+0" | |
[[deps.libblastrampoline_jll]] | |
deps = ["Artifacts", "Libdl", "OpenBLAS_jll"] | |
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" | |
version = "5.1.1+0" | |
[[deps.libpng_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] | |
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" | |
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" | |
version = "1.6.38+0" | |
[[deps.libsixel_jll]] | |
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Pkg", "libpng_jll"] | |
git-tree-sha1 = "d4f63314c8aa1e48cd22aa0c17ed76cd1ae48c3c" | |
uuid = "075b6546-f08a-558a-be8f-8157d0f608a5" | |
version = "1.10.3+0" | |
[[deps.nghttp2_jll]] | |
deps = ["Artifacts", "Libdl"] | |
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" | |
version = "1.48.0+0" | |
[[deps.p7zip_jll]] | |
deps = ["Artifacts", "Libdl"] | |
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" | |
version = "17.4.0+0" | |
""" | |
# ╔═╡ Cell order: | |
# ╠═fde81af2-8905-11ed-15a5-3fb763d219f3 | |
# ╠═3d83e95a-0a72-4f49-a0b7-0acb92e58e03 | |
# ╠═54e49691-9ac3-4645-ad98-c923b7e55be8 | |
# ╠═dae64957-0856-4188-92cc-75da43f91efd | |
# ╠═0c18d598-4eb2-43cf-acd2-67811312e7b0 | |
# ╠═9969d32f-9069-47f2-bf35-f9f2d5075d9e | |
# ╠═7ecf687c-6d16-4357-91d2-f5a047184097 | |
# ╠═c1ddf2ea-f920-4bf8-a07f-74f2268cc557 | |
# ╠═ce184eff-e5ed-4d0e-89bf-f30874994125 | |
# ╠═3a9cf537-e168-401a-8d24-9563aa095ee4 | |
# ╠═4594bf0c-3d4f-4f9f-83ae-966a6cc032e5 | |
# ╠═f6b675a2-1040-4b8d-acd1-377863f7768b | |
# ╠═4b6d25e8-2bad-42c5-953c-f07eea0767ff | |
# ╠═912cad0b-5c8a-4cb9-926a-173d33dc503c | |
# ╟─00000000-0000-0000-0000-000000000001 | |
# ╟─00000000-0000-0000-0000-000000000002 |
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