title: Floating Point Modulo Operation
body: <p>I am trying to implement the range reduction operation for trigonometry.  But instead I think it might be better to just perform a modulo pi/2 operation on incoming data. I was wondering what algorithms exist and are efficient for this operation for 32-bit IEEE 754 floating-point?</p>
  
  <p>I have to implement this in assembly, so fmod, division, multiplication, etc. aren't available to me with just one instruction. My processor uses 16-bit words and I have implemented 32-bit floating point addition, subtraction, multiplication, division, square root, cosine, and sine. I just need range reduction (modulus) for inputting values to cosine and sine. </p>