Sinc function: Difference between revisions

Revision as of 21:59, 28 February 2006

Sinc function

The sinc function $\frac{s i n (x)}{x}$ is a useful function that is a little tricky to use because it becomes 0/0 as x tends to 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

@@ Line 1: / Line 1: @@
 == Sinc function ==
-The sinc function <math>sin(x)/x</math> is a useful function that is a little tricky to use because it becomes 0/0 as x tends to 0.  Here is an implementation taken from the [http://www.boost.org/boost/math/special_functions/sinc.hpp Boost] library.
+The sinc function <math>\frac{sin(x)}{x}</math> is a useful function that is a little tricky to use because it becomes 0/0 as x tends to 0.  Here is an implementation taken from the [http://www.boost.org/boost/math/special_functions/sinc.hpp Boost] library.
 <pre>