Engine prototype #13
@ -21,7 +21,7 @@
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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 v = [
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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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@ -29,35 +29,47 @@
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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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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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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 gr = CGA3.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(gr);
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document.body.appendChild(graph);
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function flip() {
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for (let n = 0; n < 4; ++n) {
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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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v[n] = CGA3.Mul(CGA3.Mul(v[4], v[n]), v[4]);
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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 < v[n].length; ++k) {
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v[n][k] = 0;
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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(gr.update.bind(gr, scene));
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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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@ -1,4 +1,5 @@
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using Blink
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using Colors
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# === utilities ===
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@ -13,8 +14,22 @@ 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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@js win elements.push(@new CGA3($full_vec))
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n = @js win elements.push(@new CGA3($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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@ -46,25 +61,27 @@ 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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// initialize element list and palette
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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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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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for (let n = 0; n < 4; ++n) {
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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[4], elements[n]), elements[4]);
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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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@ -106,5 +123,5 @@ end
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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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document.body.appendChild(graph)
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end
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Loading…
Reference in New Issue
Block a user