Engine prototype #13

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<!DOCTYPE html>
<html>
<head>
<style>
body {
background-color: #ffe0f0;
}
/* needed to keep Ganja canvas from blowing up */
canvas {
min-width: 600px;
max-width: 600px;
min-height: 600px;
max-height: 600px;
}
</style>
<script src="https://unpkg.com/ganja.js"></script>
</head>
<body>
<script>
// the "points spheres plane" example from the Ganja coffee shop
//
// https://enkimute.github.io/ganja.js/examples/coffeeshop.html#cga3d_points_spheres_planes
//
// Create a Clifford Algebra with 4,1 metric for 3D CGA.
Algebra(4,1,()=>{
// We start by defining a null basis, and upcasting for points
var ni = 1e4+1e5, no = .5e5-.5e4;
var up = (x)=> no + x + .5*x*x*ni;
// Next we'll define 4 points
var p1 = up(1e1), p2 = up(1e2), p3 = up(-1e3), p4 = up(-1e2);
// The outer product can be used to construct the sphere through
// any four points.
var s = ()=>p1^p2^p3^p4;
// The outer product between any three points and infinity is a plane.
var p = ()=>p1^p2^p3^ni;
// Graph the items.
document.body.appendChild(this.graph([
0x00FF0000, p1, "p1", p2, "p2", p3, "p3", p4, "p4", // points
0xE0008800, p, "p", // plane
0xE00000FF, s, "s" // sphere
], {conformal: true, gl: true, grid: true}));
});
</script>
</body>
</html>

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using Blink
import Blink: JSString
# === styling utility ===
style!(w, stylesheet) = @js win begin
@var style = document.createElement("style");
style.appendChild(document.createTextNode($stylesheet));
document.head.appendChild(style);
end
# === page source ===
stylesheet = """
body {
background-color: #ffe0f0;
}
/* needed to keep Ganja canvas from blowing up */
canvas {
min-width: 600px;
max-width: 600px;
min-height: 600px;
max-height: 600px;
}
"""
# the "points spheres plane" example from the Ganja coffee shop
#
# https://enkimute.github.io/ganja.js/examples/coffeeshop.html#cga3d_points_spheres_planes
#
sphere_example = """
Algebra(4, 1, ()=>{
// We start by defining a null basis, and upcasting for points
var ni = 1e4+1e5, no = .5e5-.5e4;
var up = (x)=> no + x + .5*x*x*ni;
// Next we'll define 4 points
var p1 = up(1e1), p2 = up(1e2), p3 = up(-1e3), p4 = up(-1e2);
// The outer product can be used to construct the sphere through
// any four points.
var s = ()=>p1^p2^p3^p4;
// The outer product between any three points and infinity is a plane.
var p = ()=>p1^p2^p3^ni;
// Graph the items.
document.body.appendChild(this.graph([
0x00FF0000, p1, "p1", p2, "p2", p3, "p3", p4, "p4", // points
0xE0008800, p, "p", // plane
0xE00000FF, s, "s" // sphere
], {conformal: true, gl: true, grid: true}));
});
"""
# === page construction ===
# create window and open developer console
win = Window()
opentools(win)
# set stylesheet
style!(win, stylesheet)
# load Ganja.js
loadjs!(win, "https://unpkg.com/ganja.js")
# launch Ganja visualization
body!(win, "", async=false)
js(win, JSString(sphere_example))