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isosurface.html
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isosurface.html
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<!DOCTYPE html>
<html>
<head>
<!--
This is a very early version of what will become WebGLot - a WebGL-
based plotting library for mathematical primitives.
-->
<title>WebGLot Alpha</title>
<!--
This is a matrix library I have been using for the time being, though
I may move to something more standard. I originally got this code from
http://webkit.org/blog/603/webgl-now-available-in-webkit-nightlies/
-->
<script src="CanvasMatrix.js"> </script>
<!--
These are the class files used in WebGLot. I'm not really an expert
in JavaScript, and would prefer an analog to the #include macro in
C++ for this task so that only one script must be included. For the
time being, just copy-and-paste this.
-->
<script src="emptytexture.js"> </script>
<script src="texture.js"> </script>
<script src="ray.js"> </script>
<script src="primitive.js"> </script>
<script src="datasurface.js"> </script>
<script src="box.js"> </script>
<script src="pde3d.js"> </script>
<script src="pde.js"> </script>
<script src="ftexture.js"> </script>
<script src="nurbs.js"> </script>
<script src="noisetexture.js"> </script>
<script src="flow.js"> </script>
<script src="sphere.js"> </script>
<script src="stopwatch.js"> </script>
<script src="screen.js"> </script>
<script src="surface.js"> </script>
<script src="p_surface.js"> </script>
<script src="isosurface.js"> </script>
<script src="grapher.js"> </script>
<script>
var mySurface = null;
var glot = null;
function keyboard(key_event) {
var key = Number(key_event.keyCode);
if (key == 65) {
glot.set("isovalue", glot.get("isovalue") + 0.01);
glot.display();
} else if (key == 90) {
glot.set("isovalue", glot.get("isovalue") - 0.01);
glot.display();
}
}
function gen_isosurface(string) {
if (mySurface) {
glot.primitives.pop();
mySurface = new isosurface(document.forms["function"].elements.fn.value);
glot.add(mySurface);
} else {
mySurface = new isosurface(document.forms["function"].elements.fn.value);
glot.add(mySurface);
}
glot.restart();
glot.display();
return false;
}
function start() {
/* Instantiate a grapher
*
* In the C++ version, it's a singleton, and so it's possible that
* this interface will change, so use with caution.
*/
glot = new grapher();
glot.setKeyboardFunction(keyboard);
glot.setDomain(-2, 2, -2, 2);
glot.add(new box());
// You can add new primitives to the display with the add function.
/*
glot.set("isovalue", 0.2);
mySurface = new isosurface("(pow(x*x + y*y - 1.0,2.0) + z * z)*(pow(y * y + z * z - 1.0,2.0) + x * x)*(pow(z * z + x * x - 1.0, 2.0) + y * y) - pow(0.075, 2.0)*(1.0 + 3.0*(x * x + y * y + z * z))");
glot.add(mySurface);
//*/
glot.set("isovalue", 0.2);
mySurface = new isosurface("sin(x * z * y + y * y + z - t)");
glot.add(mySurface);
/* Some implicit surfaces from http://virtualmathmuseum.org/
// http://virtualmathmuseum.org/Surface/clebsch_cubic/clebsch_cubic.html
81.0*(pow(x,3.0) + pow(y,3.0) + pow(z,3.0)) - 189.0*(x*x*y + x*x*z + y*y*x + y*y*z + z*z*x + z*z*y) + 54.0*(x*y*z) + 126.0*(x*y + x*z + y*z) - 9.0*(x * x + y * y + z * z) - 9.0*(x + y + z) + 1.0
//*/
/* If you've got a function that's time-dependent and thus you'd like
* for it to animate, then call glot.run. It makes sure it constantly
* refreshes, otherwise the plot will be interactive, but static. Well,
* that is to say, it will only refresh when the perpective changes,
* like with zooming in and out, or rotating it.
*/
glot.run();
}
</script>
<style type="text/css">
canvas {
border: 1px solid black;
width:100%;
height:93%;
}
</style>
<style type="text/css">
div {
font-size: small;
}
</style>
</head>
<body onload="start()">
<!--
WebGLot currently requires there to be a canvas with id="glot" to work.
This will likely remain the default behavior, but there may be a new
interface added so that drawing on multiple canvases can take place.
Though, it's a long way down on the roadmap.
-->
<canvas id="glot">It seems you do not have support for WebGL.</canvas>
<div id="function_form">
<form name="function" onsubmit="gen_isosurface(); return false">
f(x, y, z, t) = <input size='100' name="fn" /> = 0
</form>
</div>
</body>
</html>