Sinc function
From HaskellWiki
(Difference between revisions)
m (Mathify 0/0) |
(Category:Mathematics) |
||
| Line 1: | Line 1: | ||
| - | 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) | ||
| Line 11: | Line 11: | ||
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
