# Difference between revisions of "Sinc function"

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BrettGiles (talk | contribs) m (Mathify 0/0) |
(Category:Mathematics) |
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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. |

− | <pre> |
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+ | <haskell> |
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epsilon :: RealFloat a => a |
epsilon :: RealFloat a => a |
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epsilon = encodeFloat 1 (fromIntegral $ 1-floatDigits epsilon) |
epsilon = encodeFloat 1 (fromIntegral $ 1-floatDigits epsilon) |
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where |
where |
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taylor_n_bound = sqrt $ sqrt epsilon |
taylor_n_bound = sqrt $ sqrt epsilon |
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− | </ |
+ | </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 . 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
```