Use jsxgraph to edit a spline curve

curvedit.jl

### A Pluto.jl notebook ###
# v0.20.24

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)
    #! format: off
    return 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
    #! format: on
end

# ╔═╡ f8f776ca-84fd-4853-8d4c-764ddc1e7bf5
begin
	using UUIDs, CairoMakie,BasicInterpolators
	using AbstractPlutoDingetjes
	using HypertextLiteral
end

# ╔═╡ 78478e60-b3a4-43bf-b393-944d5f5e4482
md"""
# Access values from JSXGraph board in Julia
© J. Fuhrmann 2026, License: MIT

This notebook demonstrates how JSXGraph board values can be accessed in Pluto notebooks using Pluto's @bind mechanism. 

In addition, it uses `published_to_js` from AbstractPlutoDingetjes.jl to pass initial point position to the board.

See the [Interactivity example of the featured Pluto notebooks](https://featured.plutojl.org/web/interactivity%20with%20html).
"""

# ╔═╡ edb51822-c992-4c40-a5b8-300f30acb171
md"""
## Load the JSXGraph libray
"""

# ╔═╡ 78a7a601-9e42-49f9-bf60-491cfd6794a3
htl"""
<link rel="stylesheet" type="text/css" href="https://jsxgraph.org/distrib/jsxgraph.css" />
 <script type="text/javascript" src="https://jsxgraph.org/distrib/jsxgraphcore.js"></script>
"""

# ╔═╡ 4e1b260b-56e1-4c1d-a264-9352191d309a
md"""
## Edit a spline curve
"""

# ╔═╡ fa3d16d1-0808-425f-9f8b-09ddf890f146
function curvedit(X0,Y0)
	# Pack initial point data into dict to be passed to javascript
	jldict=Dict("x"=>X0, "y"=>Y0)
	
	uuid=string(uuid1())
    htl""" 
<span>
<div id="$uuid" class="jxgbox" style="width:300px; height:300px;"></div>
<script>
	
// The span is the outer html element seen by Pluto's @bind mechanism. 
// @bind just takes the value entry of an element and channels this to a 
// Julia variable.
const span = currentScript.parentElement

const board = JXG.JSXGraph.initBoard($uuid, {axis:true, boundingbox: [-5, 5, 5, -5]});

// Get the initial point coordinates passed via the ptdict
const jsdict=$(AbstractPlutoDingetjes.Display.published_to_js(jldict))
const X0=jsdict["x"]
const Y0=jsdict["y"]
	
// Create initial points
var p = [];
for( var i=0; i<X0.length; i++)
{
  p[i] = board.create('point', [X0[i], Y0[i]], {size:4});
}

function update_span_value()
{
	X=[]
	Y=[]
	for(let i=0;i<p.length;i++)
	{
	X.push(p[i].X())
	Y.push(p[i].Y())
	}
	span.value={x:X, y:Y}

  // @bind reacts on this event.
  span.dispatchEvent(new CustomEvent("input"))	
}

// update span value when board is updated	
board.on('update',update_span_value)

// initialize span value
update_span_value()

	
// sort the point to not to confuse spline interpolator
board.on('move', function() {
   board.suspendUpdate();
	p.sort(function(a, b){return a.X()-b.X()});
   board.unsuspendUpdate();
 });

// Create interpolation curve
var graph = board.create('spline', p, {strokeWidth:3}); 

</script>
</span>
"""
end


# ╔═╡ 02e0c199-757d-4e2c-aeea-930ae523d0d6
X0=[-2, -1, 0.3, 1,2]

# ╔═╡ 1413bc68-a9f4-4f9e-9dd9-772eb84cb80f
Y0=copy(X0)

# ╔═╡ 94f88216-6e2e-49bb-a5ea-ccf0b74c695a
md"""
Move the points in the board!
"""

# ╔═╡ 947b98cc-52bd-4066-8dcc-d9c58d71c63a
@bind points curvedit(X0,Y0)

# ╔═╡ fe49f122-5f1e-4c60-9f4a-238f96a5e001
points

# ╔═╡ b630ebcc-010a-4383-a44c-9567d6165cfd
itp =CubicSplineInterpolator(float.(points["x"]), float.(points["y"]))

# ╔═╡ f47ace82-3836-4b0a-a284-d449aa278b58
let 
	fig  = Figure(;size=(300,300))
	ax=Axis(fig[1,1])
	xlims!(-5,5)
	ylims!(-5,5)
	px=range(points["x"][1],points["x"][end],length=1000)
    lines!(ax,px,itp.(px), linewidth=3)
	scatter!(ax,points["x"],points["y"], markersize=15, color=:darkorange)
	fig
end

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deps = ["AliasTables", "DataAPI", "DataStructures", "IrrationalConstants", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "aceda6f4e598d331548e04cc6b2124a6148138e3"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.34.10"

[[deps.StatsFuns]]
deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
git-tree-sha1 = "91f091a8716a6bb38417a6e6f274602a19aaa685"
uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
version = "1.5.2"
weakdeps = ["ChainRulesCore", "InverseFunctions"]

    [deps.StatsFuns.extensions]
    StatsFunsChainRulesCoreExt = "ChainRulesCore"
    StatsFunsInverseFunctionsExt = "InverseFunctions"

[[deps.StructArrays]]
deps = ["ConstructionBase", "DataAPI", "Tables"]
git-tree-sha1 = "ad8002667372439f2e3611cfd14097e03fa4bccd"
uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
version = "0.7.3"

    [deps.StructArrays.extensions]
    StructArraysAdaptExt = "Adapt"
    StructArraysGPUArraysCoreExt = ["GPUArraysCore", "KernelAbstractions"]
    StructArraysLinearAlgebraExt = "LinearAlgebra"
    StructArraysSparseArraysExt = "SparseArrays"
    StructArraysStaticArraysExt = "StaticArrays"

    [deps.StructArrays.weakdeps]
    Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
    GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
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    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"

[[deps.StructUtils]]
deps = ["Dates", "UUIDs"]
git-tree-sha1 = "86f5831495301b2a1387476cb30f86af7ab99194"
uuid = "ec057cc2-7a8d-4b58-b3b3-92acb9f63b42"
version = "2.8.0"

    [deps.StructUtils.extensions]
    StructUtilsMeasurementsExt = ["Measurements"]
    StructUtilsStaticArraysCoreExt = ["StaticArraysCore"]
    StructUtilsTablesExt = ["Tables"]

    [deps.StructUtils.weakdeps]
    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
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    Tables = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"

[[deps.StyledStrings]]
uuid = "f489334b-da3d-4c2e-b8f0-e476e12c162b"
version = "1.11.0"

[[deps.SuiteSparse]]
deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"

[[deps.SuiteSparse_jll]]
deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
version = "7.8.3+2"

[[deps.TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
version = "1.0.3"

[[deps.TableTraits]]
deps = ["IteratorInterfaceExtensions"]
git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
version = "1.0.1"

[[deps.Tables]]
deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "OrderedCollections", "TableTraits"]
git-tree-sha1 = "f2c1efbc8f3a609aadf318094f8fc5204bdaf344"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.12.1"

[[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.TiffImages]]
deps = ["CodecZstd", "ColorTypes", "DataStructures", "DocStringExtensions", "FileIO", "FixedPointNumbers", "IndirectArrays", "Inflate", "Mmap", "OffsetArrays", "PkgVersion", "PrecompileTools", "ProgressMeter", "SIMD", "UUIDs"]
git-tree-sha1 = "9ca5f1f2d42f80df4b8c9f6ab5a64f438bbd9976"
uuid = "731e570b-9d59-4bfa-96dc-6df516fadf69"
version = "0.11.9"

[[deps.TranscodingStreams]]
git-tree-sha1 = "0c45878dcfdcfa8480052b6ab162cdd138781742"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.11.3"

[[deps.Tricks]]
git-tree-sha1 = "311349fd1c93a31f783f977a71e8b062a57d4101"
uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
version = "0.1.13"

[[deps.TriplotBase]]
git-tree-sha1 = "4d4ed7f294cda19382ff7de4c137d24d16adc89b"
uuid = "981d1d27-644d-49a2-9326-4793e63143c3"
version = "0.1.0"

[[deps.UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
version = "1.11.0"

[[deps.Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
version = "1.11.0"

[[deps.UnicodeFun]]
deps = ["REPL"]
git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
version = "0.4.1"

[[deps.Unitful]]
deps = ["Dates", "LinearAlgebra", "Random"]
git-tree-sha1 = "57e1b2c9de4bd6f40ecb9de4ac1797b81970d008"
uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
version = "1.28.0"

    [deps.Unitful.extensions]
    ConstructionBaseUnitfulExt = "ConstructionBase"
    ForwardDiffExt = "ForwardDiff"
    InverseFunctionsUnitfulExt = "InverseFunctions"
    LatexifyExt = ["Latexify", "LaTeXStrings"]
    NaNMathExt = "NaNMath"
    PrintfExt = "Printf"

    [deps.Unitful.weakdeps]
    ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
    LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
    Latexify = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
    NaNMath = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
    Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[deps.WebP]]
deps = ["CEnum", "ColorTypes", "FileIO", "FixedPointNumbers", "ImageCore", "libwebp_jll"]
git-tree-sha1 = "aa1ca3c47f119fbdae8770c29820e5e6119b83f2"
uuid = "e3aaa7dc-3e4b-44e0-be63-ffb868ccd7c1"
version = "0.1.3"

[[deps.WoodburyMatrices]]
deps = ["LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "248a7031b3da79a127f14e5dc5f417e26f9f6db7"
uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
version = "1.1.0"

[[deps.XZ_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "b29c22e245d092b8b4e8d3c09ad7baa586d9f573"
uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800"
version = "5.8.3+0"

[[deps.Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "808090ede1d41644447dd5cbafced4731c56bd2f"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.8.13+0"

[[deps.Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "aa1261ebbac3ccc8d16558ae6799524c450ed16b"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.13+0"

[[deps.Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "52858d64353db33a56e13c341d7bf44cd0d7b309"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.6+0"

[[deps.Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "1a4a26870bf1e5d26cd585e38038d399d7e65706"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.8+0"

[[deps.Xorg_libXfixes_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "75e00946e43621e09d431d9b95818ee751e6b2ef"
uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
version = "6.0.2+0"

[[deps.Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "7ed9347888fac59a618302ee38216dd0379c480d"
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
version = "0.9.12+0"

[[deps.Xorg_libpciaccess_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "4909eb8f1cbf6bd4b1c30dd18b2ead9019ef2fad"
uuid = "a65dc6b1-eb27-53a1-bb3e-dea574b5389e"
version = "0.18.1+0"

[[deps.Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libXau_jll", "Xorg_libXdmcp_jll"]
git-tree-sha1 = "bfcaf7ec088eaba362093393fe11aa141fa15422"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.17.1+0"

[[deps.Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "a63799ff68005991f9d9491b6e95bd3478d783cb"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.6.0+0"

[[deps.Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
version = "1.3.1+2"

[[deps.Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "446b23e73536f84e8037f5dce465e92275f6a308"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.7+1"

[[deps.isoband_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "51b5eeb3f98367157a7a12a1fb0aa5328946c03c"
uuid = "9a68df92-36a6-505f-a73e-abb412b6bfb4"
version = "0.2.3+0"

[[deps.libaom_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "850b06095ee71f0135d644ffd8a52850699581ed"
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
version = "3.13.3+0"

[[deps.libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "125eedcb0a4a0bba65b657251ce1d27c8714e9d6"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.17.4+0"

[[deps.libblastrampoline_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
version = "5.15.0+0"

[[deps.libdrm_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libpciaccess_jll"]
git-tree-sha1 = "63aac0bcb0b582e11bad965cef4a689905456c03"
uuid = "8e53e030-5e6c-5a89-a30b-be5b7263a166"
version = "2.4.125+1"

[[deps.libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "646634dd19587a56ee2f1199563ec056c5f228df"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.4+0"

[[deps.libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "e51150d5ab85cee6fc36726850f0e627ad2e4aba"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.58+0"

[[deps.libsixel_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "libpng_jll"]
git-tree-sha1 = "c1733e347283df07689d71d61e14be986e49e47a"
uuid = "075b6546-f08a-558a-be8f-8157d0f608a5"
version = "1.10.5+0"

[[deps.libva_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll", "Xorg_libXext_jll", "Xorg_libXfixes_jll", "libdrm_jll"]
git-tree-sha1 = "7dbf96baae3310fe2fa0df0ccbb3c6288d5816c9"
uuid = "9a156e7d-b971-5f62-b2c9-67348b8fb97c"
version = "2.23.0+0"

[[deps.libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll"]
git-tree-sha1 = "11e1772e7f3cc987e9d3de991dd4f6b2602663a5"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.8+0"

[[deps.libwebp_jll]]
deps = ["Artifacts", "Giflib_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libglvnd_jll", "Libtiff_jll", "libpng_jll"]
git-tree-sha1 = "4e4282c4d846e11dce56d74fa8040130b7a95cb3"
uuid = "c5f90fcd-3b7e-5836-afba-fc50a0988cb2"
version = "1.6.0+0"

[[deps.nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
version = "1.64.0+1"

[[deps.p7zip_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
version = "17.7.0+0"

[[deps.x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "14cc7083fc6dff3cc44f2bc435ee96d06ed79aa7"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "10164.0.1+0"

[[deps.x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e7b67590c14d487e734dcb925924c5dc43ec85f3"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "4.1.0+0"
"""

# ╔═╡ Cell order:
# ╠═f8f776ca-84fd-4853-8d4c-764ddc1e7bf5
# ╟─78478e60-b3a4-43bf-b393-944d5f5e4482
# ╟─edb51822-c992-4c40-a5b8-300f30acb171
# ╠═78a7a601-9e42-49f9-bf60-491cfd6794a3
# ╟─4e1b260b-56e1-4c1d-a264-9352191d309a
# ╠═fa3d16d1-0808-425f-9f8b-09ddf890f146
# ╠═02e0c199-757d-4e2c-aeea-930ae523d0d6
# ╠═1413bc68-a9f4-4f9e-9dd9-772eb84cb80f
# ╟─94f88216-6e2e-49bb-a5ea-ccf0b74c695a
# ╠═947b98cc-52bd-4066-8dcc-d9c58d71c63a
# ╠═fe49f122-5f1e-4c60-9f4a-238f96a5e001
# ╠═f47ace82-3836-4b0a-a284-d449aa278b58
# ╠═b630ebcc-010a-4383-a44c-9567d6165cfd
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002