How does one implement ATAN2 lookup table algorithm?

My question is in reference to the ATAN2 function described in the Algorithm section of this page:

http://www.mathworks.com/help/fixedpoint/ref/atan2.html

1. Can someone explain how to create the lookup table? 2. What is the "stored integer value" referring to in step 2 of the algorithm? 3. An explanation of steps 2 through 4 would be very helpful. 4. Anyone have some C code examples of implementing this algorithm?

Thank you, Chuck