# Sinc function

### From HaskellWiki

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== Sinc function == | == Sinc function == | ||

− | The sinc function <math>\frac{sin(x)}{x}</math> is a useful function that is a little tricky to | + | The sinc function <math>\frac{sin(x)}{x}</math> is a useful function that is a little tricky to implement 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> | <pre> |

## Revision as of 22:00, 28 February 2006

## Sinc function

The sinc function is a useful function that is a little tricky to implement 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