Engine prototype #13
@ -1,17 +1,30 @@
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using Blink
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import Blink: JSString
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# === styling utility ===
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# === utilities ===
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style!(w, stylesheet) = @js win begin
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@var style = document.createElement("style");
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style.appendChild(document.createTextNode($stylesheet));
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document.head.appendChild(style);
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append_to_head!(w, type, content) = @js win begin
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@var element = document.createElement($type)
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element.appendChild(document.createTextNode($content))
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document.head.appendChild(element)
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end
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# === page source ===
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style!(w, stylesheet) = append_to_head!(w, "style", stylesheet)
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stylesheet = """
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script!(w, code) = append_to_head!(w, "script", code)
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function add_element!(vec)
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full_vec = [0; vec; fill(0, 26)]
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@js win elements.push(@new CGA3($full_vec))
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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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@ -23,69 +36,75 @@ canvas {
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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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controls = """
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<p><button id="flip-button">Flip</button></p>
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"""
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graph_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 v = [
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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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// create scene function
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let scene = () => [
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0xff00b0, v[0],
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0x00ffb0, v[1],
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0x00b0ff, v[2],
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0x8040ff, v[3],
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0xc0c0c0, v[4]
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];
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// initialize graph
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let gr = 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(gr);
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// connect flip button
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function flip() {
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for (let n = 0; n < 4; ++n) {
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// reflect
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v[n] = CGA3.Mul(CGA3.Mul(v[4], v[n]), v[4]);
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// de-noise
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for (let k = 6; k < v[n].length; ++k) {
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v[n][k] = 0;
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}
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}
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requestAnimationFrame(gr.update.bind(gr, scene));
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}
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document.querySelector('#flip-button').addEventListener('click', flip);
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"""
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# === page construction ===
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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, stylesheet)
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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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# launch Ganja visualization
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body!(win, controls, async=false)
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js(win, JSString(graph_script))
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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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// in the default view, e4 + e5 is the point at infinity
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var elements = [];
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// create scene function
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let scene = () => [
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0xff00b0, elements[0],
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0x00ffb0, elements[1],
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0x00b0ff, elements[2],
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0x8040ff, elements[3],
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0xc0c0c0, elements[4]
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];
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// declare visualization handle
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var graph;
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function flip() {
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for (let n = 0; n < 4; ++n) {
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// reflect
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elements[n] = CGA3.Mul(CGA3.Mul(elements[4], elements[n]), elements[4]);
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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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