Triangulating complex polygons

I'm trying to find an easy to implement algorithm that will take a non-convex polygon with no holes and find a triangulation of it.  My googling is returning a lot of math when what I really need is an algorithm or some source code to work from.

Hi, I'm trying to do my homework and Google doesn't have any source code I can steal.  I run Linux so I'm a real programmer can you guys help me by giving me code that I can compile and pretend like I'm programming.