Rotating a point in 3D

It seems so trivial in this age of OpenGL, WebGL and many other beautiful libs, that will do the hard work for you. And then you find yourself in a position, where you need something simple and it's nowhere to be found.

Rotation of a point around the origin or O  or {x:0,y:0,z:0}
How hard can it be.
Well, it's not simple.

Here is the code in as3 and javascript

function rotatePoint(p,rx,ry,rz)
{
    var x,y,z,q={};
    x=p.x*Math.cos(rz)-p.y*Math.sin(rz);
    y=p.x*Math.sin(rz)+p.y*Math.cos(rz);

    q.x=x*Math.cos(ry)-p.z*Math.sin(ry);
    z=x*Math.sin(ry)+p.z*Math.cos(ry);

    q.y=y*Math.cos(rx)-z*Math.sin(rx);
    q.z=y*Math.sin(rx)+z*Math.cos(rx);
    return q;
}

The parameters:
p is a point, so an object with {x:x,y:y,z:z};
rx is the amount you want to rotate around the x axis in radians.
ry is the amount you want to rotate around the y axis in radians.
rz  is the amount you want to rotate around the z axis in radians.

It returns a point with the new rotated coordinates. Don't try to understand the maths, it took me three days to put this together.

So in practice, I have a point 1,0,0 and I want to rotate it around the z axis 45 degrees.
The answer is in this case pretty obvious, it would be 0,707...,0.707....,0 or cos(45),sin(45),0
So how would we go about doing that with the function?

  p.x=1;
  p.y=0;
  p.z=0;
  p=rotatePoint(p,45/180*Math.PI,0,0);
  trace(p.x+","+p.y+","+p.z);

Output:
0.7071067811865476,0.7071067811865475,0

Halleluja, you can now play around with the other axis and stuff.
Any time you need something rotated, this function is your friend.
I've been using it on an off since 1988 just needed it again for my Delft project (about which I will tell you more later, but now, I'm sworn to secrecy :)
I found it in an ancient piece of code from 1996 in C, so I rewrote it to Javascript/As3.
And there you are.

As2 to As3 conversion

Since Adobe doesn't support as2 anymore, (some) developers and usually designers are struggling with converting old as2 projects to as3. There are a number of online converters, none of which work well.

So what's the solution?

I'm sorry to say there is no ready solution...
This is mostly because as2 and as3 are built on different principles, that do not mix well.

So I decided to start a service for as2 to as3 conversion. Or if you want to update your site, why not go HTML5 as well, see the post about the hybrid platform!
I would like to say something about prices here, but that is quite impossible.
I do it at 75,- Euro's an hour, but that price may be a bit misleading, because I usually work quite fast.  Contact me through the contact form.