Engine prototype #13
123
engine-proto/ConstructionViewer.jl
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123
engine-proto/ConstructionViewer.jl
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module Viewer
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using Blink
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using Colors
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export ConstructionViewer, display!
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# === Blink 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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# === construction viewer ===
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mutable struct ConstructionViewer
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win::Window
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function ConstructionViewer()
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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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/* 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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""")
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# create view
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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.replaceChildren(graph)
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end
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new(win)
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end
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end
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function display!(viewer::ConstructionViewer, elements::Matrix)
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# load elements
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elements_full = [
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[0; elt; fill(0, 26)]
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for elt in eachcol(elements)
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]
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@js viewer.win elements = $elements_full.map((elt) -> @new CGA3(elt))
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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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length(elements_full),
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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 viewer.win palette = $palette_packed
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# update view
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@js viewer.win requestAnimationFrame(graph.update.bind(graph, scene));
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end
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end
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# ~~~ sandbox setup ~~~
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# 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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# show construction
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viewer = Viewer.ConstructionViewer()
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Viewer.display!(viewer, elements)
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76
engine-proto/ganja-test/ganja-test.html
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76
engine-proto/ganja-test/ganja-test.html
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<!DOCTYPE html>
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<html>
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<head>
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<style>
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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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</style>
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<script src="https://unpkg.com/ganja.js"></script>
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</head>
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<body>
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<p><button onclick="flip()">Flip</button></p>
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<script>
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// in the default view, e4 + e5 is the point at infinity
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let CGA3 = Algebra(4, 1);
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let elements = [
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CGA3.inline(() => Math.sqrt(0.5)*( 1e1 + 1e2 + 1e3 + 1e5))(),
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CGA3.inline(() => Math.sqrt(0.5)*( 1e1 - 1e2 - 1e3 + 1e5))(),
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CGA3.inline(() => Math.sqrt(0.5)*(-1e1 + 1e2 - 1e3 + 1e5))(),
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CGA3.inline(() => Math.sqrt(0.5)*(-1e1 - 1e2 + 1e3 + 1e5))(),
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CGA3.inline(() => -Math.sqrt(3)*1e4 + Math.sqrt(2)*1e5)()
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];
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// set up palette
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var colorIndex;
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var palette = [0xff00b0, 0x00ffb0, 0x00b0ff, 0x8040ff, 0xc0c0c0];
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function nextColor() {
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colorIndex = (colorIndex + 1) % palette.length;
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return palette[colorIndex];
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}
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function resetColorCycle() {
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colorIndex = palette.length - 1;
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}
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resetColorCycle();
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// create scene function
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function scene() {
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commands = [];
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resetColorCycle();
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elements.forEach((elt) => commands.push(nextColor(), elt));
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return commands;
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}
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// initialize graph
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let graph = CGA3.graph(
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scene,
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{
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conformal: true, gl: true, grid: true
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}
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)
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document.body.appendChild(graph);
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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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</script>
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</body>
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</html>
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127
engine-proto/ganja-test/ganja-test.jl
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127
engine-proto/ganja-test/ganja-test.jl
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@ -0,0 +1,127 @@
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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
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