127 lines
2.7 KiB
Julia
127 lines
2.7 KiB
Julia
using Blink
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using Colors
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# === utilities ===
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append_to_head!(w, type, content) = @js w begin
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@var element = document.createElement($type)
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element.appendChild(document.createTextNode($content))
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document.head.appendChild(element)
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end
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style!(w, stylesheet) = append_to_head!(w, "style", stylesheet)
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script!(w, code) = append_to_head!(w, "script", code)
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function add_element!(vec)
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# add element
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full_vec = [0; vec; fill(0, 26)]
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n = @js win elements.push(@new CGA3($full_vec))
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# generate palette. this is Gadfly's `default_discrete_colors` palette,
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# available under the MIT license
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palette = distinguishable_colors(
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n,
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[LCHab(70, 60, 240)],
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transform = c -> deuteranopic(c, 0.5),
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lchoices = Float64[65, 70, 75, 80],
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cchoices = Float64[0, 50, 60, 70],
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hchoices = range(0, stop=330, length=24)
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)
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palette_packed = [RGB24(c).color for c in palette]
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@js win palette = $palette_packed
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end
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# === build page ===
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# create window and open developer console
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win = Window()
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opentools(win)
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# set stylesheet
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style!(win, """
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body {
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background-color: #ffe0f0;
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}
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/* needed to keep Ganja canvas from blowing up */
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canvas {
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min-width: 600px;
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max-width: 600px;
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min-height: 600px;
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max-height: 600px;
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}
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""")
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# load Ganja.js
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loadjs!(win, "https://unpkg.com/ganja.js")
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# create global functions and variables
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script!(win, """
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// create algebra
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var CGA3 = Algebra(4, 1);
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// initialize element list and palette
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var elements = [];
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var palette = [];
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// declare visualization handle
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var graph;
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// create scene function
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function scene() {
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commands = [];
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for (let n = 0; n < elements.length; ++n) {
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commands.push(palette[n], elements[n]);
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}
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return commands;
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}
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function flip() {
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let last = elements.length - 1;
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for (let n = 0; n < last; ++n) {
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// reflect
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elements[n] = CGA3.Mul(CGA3.Mul(elements[last], elements[n]), elements[last]);
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// de-noise
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for (let k = 6; k < elements[n].length; ++k) {
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elements[n][k] = 0;
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}
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}
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requestAnimationFrame(graph.update.bind(graph, scene));
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}
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""")
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# set up controls
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body!(win, """
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<p><button id="flip-button" onclick="flip()">Flip</button></p>
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""", async = false)
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# === set up visualization ===
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# list elements. in the default view, e4 + e5 is the point at infinity
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elements = sqrt(0.5) * BigFloat[
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1 1 -1 -1 0;
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1 -1 1 -1 0;
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1 -1 -1 1 0;
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0 0 0 0 -sqrt(6);
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1 1 1 1 2
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]
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# load elements
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for vec in eachcol(elements)
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add_element!(vec)
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end
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# initialize visualization
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@js win begin
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graph = CGA3.graph(
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scene,
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Dict(
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"conformal" => true,
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"gl" => true,
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"grid" => true
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)
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)
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document.body.appendChild(graph)
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end |