From 197e88c3b56d28840217010a2871c6ea3a4dd1a4 Mon Sep 17 00:00:00 2001 From: Alberto Ruiz Date: Wed, 21 May 2014 10:30:55 +0200 Subject: update dependencies, move examples etc --- .../hmatrix/src/Numeric/GSL/Differentiation.hs | 85 ---------------------- 1 file changed, 85 deletions(-) delete mode 100644 packages/hmatrix/src/Numeric/GSL/Differentiation.hs (limited to 'packages/hmatrix/src/Numeric/GSL/Differentiation.hs') diff --git a/packages/hmatrix/src/Numeric/GSL/Differentiation.hs b/packages/hmatrix/src/Numeric/GSL/Differentiation.hs deleted file mode 100644 index 0fb58ef..0000000 --- a/packages/hmatrix/src/Numeric/GSL/Differentiation.hs +++ /dev/null @@ -1,85 +0,0 @@ -{- | -Module : Numeric.GSL.Differentiation -Copyright : (c) Alberto Ruiz 2006 -License : GPL - -Maintainer : Alberto Ruiz -Stability : provisional - -Numerical differentiation. - - - -From the GSL manual: \"The functions described in this chapter compute numerical derivatives by finite differencing. An adaptive algorithm is used to find the best choice of finite difference and to estimate the error in the derivative.\" --} - - -module Numeric.GSL.Differentiation ( - derivCentral, - derivForward, - derivBackward -) where - -import Foreign.C.Types -import Foreign.Marshal.Alloc(malloc, free) -import Foreign.Ptr(Ptr, FunPtr, freeHaskellFunPtr) -import Foreign.Storable(peek) -import Numeric.GSL.Internal -import System.IO.Unsafe(unsafePerformIO) - -derivGen :: - CInt -- ^ type: 0 central, 1 forward, 2 backward - -> Double -- ^ initial step size - -> (Double -> Double) -- ^ function - -> Double -- ^ point where the derivative is taken - -> (Double, Double) -- ^ result and error -derivGen c h f x = unsafePerformIO $ do - r <- malloc - e <- malloc - fp <- mkfun (\y _ -> f y) - c_deriv c fp x h r e // check "deriv" - vr <- peek r - ve <- peek e - let result = (vr,ve) - free r - free e - freeHaskellFunPtr fp - return result - -foreign import ccall safe "gsl-aux.h deriv" - c_deriv :: CInt -> FunPtr (Double -> Ptr () -> Double) -> Double -> Double - -> Ptr Double -> Ptr Double -> IO CInt - - -{- | Adaptive central difference algorithm, /gsl_deriv_central/. For example: - ->>> let deriv = derivCentral 0.01 ->>> deriv sin (pi/4) -(0.7071067812000676,1.0600063101654055e-10) ->>> cos (pi/4) -0.7071067811865476 - --} -derivCentral :: Double -- ^ initial step size - -> (Double -> Double) -- ^ function - -> Double -- ^ point where the derivative is taken - -> (Double, Double) -- ^ result and absolute error -derivCentral = derivGen 0 - --- | Adaptive forward difference algorithm, /gsl_deriv_forward/. The function is evaluated only at points greater than x, and never at x itself. The derivative is returned in result and an estimate of its absolute error is returned in abserr. This function should be used if f(x) has a discontinuity at x, or is undefined for values less than x. A backward derivative can be obtained using a negative step. -derivForward :: Double -- ^ initial step size - -> (Double -> Double) -- ^ function - -> Double -- ^ point where the derivative is taken - -> (Double, Double) -- ^ result and absolute error -derivForward = derivGen 1 - --- | Adaptive backward difference algorithm, /gsl_deriv_backward/. -derivBackward ::Double -- ^ initial step size - -> (Double -> Double) -- ^ function - -> Double -- ^ point where the derivative is taken - -> (Double, Double) -- ^ result and absolute error -derivBackward = derivGen 2 - -{- | conversion of Haskell functions into function pointers that can be used in the C side --} -foreign import ccall safe "wrapper" mkfun:: (Double -> Ptr() -> Double) -> IO( FunPtr (Double -> Ptr() -> Double)) -- cgit v1.2.3