# Sinc function

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(Difference between revisions)

BrettGiles (Talk | contribs) m (Mathify 0/0) |
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− | The sinc function, <math>\frac{sin(x)}{x}</math>, is a useful function that is a little tricky to implement because it becomes <math>\frac{0}{0}</math> as x approaches <math>0</math>. 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 implement because it becomes <math>\frac{0}{0}</math> as x approaches <math>0</math>. Here is an implementation taken from the [http://www.boost.org/boost/math/special_functions/sinc.hpp Boost] library. |

− | < | + | <haskell> |

epsilon :: RealFloat a => a | epsilon :: RealFloat a => a | ||

epsilon = encodeFloat 1 (fromIntegral $ 1-floatDigits epsilon) | epsilon = encodeFloat 1 (fromIntegral $ 1-floatDigits epsilon) | ||

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where | where | ||

taylor_n_bound = sqrt $ sqrt epsilon | taylor_n_bound = sqrt $ sqrt epsilon | ||

− | </ | + | </haskell> |

+ | |||

+ | [[Category:Mathematics]] |

## Revision as of 16:34, 15 November 2006

The sinc function, , is a useful function that is a little tricky to implement because it becomes 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