I need to use the Lambert W function in Java but couldn’t find it in the standard math library, Apache Commons Math, or the Colt library. I have only found implementations in Python, MATLAB, and JavaScript, but not in Java.

Assume the following class:

I’ve been working on a project that requires me to fit a grid with a certain number of squares into a given screen size. I find the optimal ratio for the grid by finding all the factors of the number of squares, and comparing the ratio of those factors to the aspect ratio of the screen. In the event that the closest ratio I can get from the squares is too far for my liking, I want to use a system of equations to find the best ratio I can get, even if I have to remove squares.