# Sinc function

The sinc function, $\frac{\sin(x)}{x}$, is a useful function that is a little tricky to implement because it becomes $\frac{0}{0}$ as x approaches 0. Here is an implementation taken from the Boost library.
epsilon :: RealFloat a => a
epsilon = encodeFloat 1 (fromIntegral $1-floatDigits epsilon) {- Boosted from Boost http://www.boost.org/boost/math/special_functions/sinc.hpp -} sinc :: (RealFloat a) => a -> a sinc x | (abs x) >= taylor_n_bound = (sin x)/x | otherwise = 1 - (x^2/6) + (x^4/120) where taylor_n_bound = sqrt$ sqrt epsilon