Revolve a 2D XY function around Z?

[Patryk Kizny]

Hey,

I got a simple maths problem, but can't seem to have brainpower to solve it quickly.

Let's assume we have some function like IQ impulse or so.


Now I want to use it to create a 3D function by revolving the shape around Z (vertical) axis.
So essentially I want to use it as a shape for a lathe object.


That should be simple.
Any hints?

[Patryk Kizny]

Nevermind - easier than I thought.

Code:

// Cubic pulse 1D 
float cubicPulse( float c, float w, float x ){
	x = abs(x - c);
	if(x>w) return 0.0;
	x /= w;
	return 1.0 - x*x*(3.0-2.0*x);
}

// Cubic pulse 2D 
float cubicPulse2D(vec2 z, vec2 c, float w, float o){
	z = abs(z+c);
	float r = length(z);
	float h = cubicPulse(o, w, r);
	return h;
}

[Patryk Kizny]

So the above works, but I have no idea how can I scale it non-uniformly, so that it gives me an elongated shape based on the vec2 w scales.