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|
{-# OPTIONS_GHC -fglasgow-exts #-}
-----------------------------------------------------------------------------
-- |
-- Module : GSL.Vector
-- Copyright : (c) Alberto Ruiz 2007
-- License : GPL-style
--
-- Maintainer : Alberto Ruiz <aruiz@um.es>
-- Stability : provisional
-- Portability : portable (uses FFI)
--
-- Vector operations
--
-----------------------------------------------------------------------------
module GSL.Vector (
FunCodeS(..), toScalarR,
FunCodeV(..), vectorMapR, vectorMapC,
FunCodeSV(..), vectorMapValR, vectorMapValC,
FunCodeVV(..), vectorZipR, vectorZipC,
scale, addConstant, add, sub, mul,
) where
import Data.Packed.Internal
import Complex
import Foreign
data FunCodeV = Sin
| Cos
| Tan
| Abs
| ASin
| ACos
| ATan
| Sinh
| Cosh
| Tanh
| ASinh
| ACosh
| ATanh
| Exp
| Log
| Sign
| Sqrt
deriving Enum
data FunCodeSV = Scale
| Recip
| AddConstant
| Negate
| PowSV
| PowVS
deriving Enum
data FunCodeVV = Add
| Sub
| Mul
| Div
| Pow
| ATan2
deriving Enum
data FunCodeS = Norm2
| AbsSum
| MaxIdx
| Max
| MinIdx
| Min
deriving Enum
scale :: (Num a, Field a) => a -> Vector a -> Vector a
scale x v | isReal baseOf v = scast $ vectorMapValR Scale (scast x) (scast v)
| isComp baseOf v = scast $ vectorMapValC Scale (scast x) (scast v)
| otherwise = fromList $ map (*x) $ toList v
addConstant :: (Num a, Field a) => a -> Vector a -> Vector a
addConstant x v | isReal baseOf v = scast $ vectorMapValR AddConstant (scast x) (scast v)
| isComp baseOf v = scast $ vectorMapValC AddConstant (scast x) (scast v)
| otherwise = fromList $ map (*x) $ toList v
add :: (Num a, Field a) => Vector a -> Vector a -> Vector a
add u v | isReal baseOf v = scast $ vectorZipR Add (scast u) (scast v)
| isComp baseOf v = scast $ vectorZipC Add (scast u) (scast v)
| otherwise = fromList $ zipWith (+) (toList u) (toList v)
sub :: (Num a, Field a) => Vector a -> Vector a -> Vector a
sub u v | isReal baseOf v = scast $ vectorZipR Sub (scast u) (scast v)
| isComp baseOf v = scast $ vectorZipC Sub (scast u) (scast v)
| otherwise = fromList $ zipWith (-) (toList u) (toList v)
mul :: (Num a, Field a) => Vector a -> Vector a -> Vector a
mul u v | isReal baseOf v = scast $ vectorZipR Mul (scast u) (scast v)
| isComp baseOf v = scast $ vectorZipC Mul (scast u) (scast v)
| otherwise = fromList $ zipWith (*) (toList u) (toList v)
------------------------------------------------------------------
toScalarAux fun code v = unsafePerformIO $ do
r <- createVector 1
fun (fromEnum code) // vec v // vec r // check "toScalarAux" [v]
return (r `at` 0)
vectorMapAux fun code v = unsafePerformIO $ do
r <- createVector (dim v)
fun (fromEnum code) // vec v // vec r // check "vectorMapAux" [v]
return r
vectorMapValAux fun code val v = unsafePerformIO $ do
r <- createVector (dim v)
pval <- newArray [val]
fun (fromEnum code) pval // vec v // vec r // check "vectorMapValAux" [v]
free pval
return r
vectorZipAux fun code u v = unsafePerformIO $ do
r <- createVector (dim u)
fun (fromEnum code) // vec u // vec v // vec r // check "vectorZipAux" [u,v]
return r
---------------------------------------------------------------------
-- | obtains different functions of a vector: norm1, norm2, max, min, posmax, posmin, etc.
toScalarR :: FunCodeS -> Vector Double -> Double
toScalarR oper = toScalarAux c_toScalarR (fromEnum oper)
foreign import ccall safe "gsl-aux.h toScalarR" c_toScalarR :: Int -> TVV
------------------------------------------------------------------
-- | map of real vectors with given function
vectorMapR :: FunCodeV -> Vector Double -> Vector Double
vectorMapR = vectorMapAux c_vectorMapR
foreign import ccall safe "gsl-aux.h mapR" c_vectorMapR :: Int -> TVV
-- | map of complex vectors with given function
vectorMapC :: FunCodeV -> Vector (Complex Double) -> Vector (Complex Double)
vectorMapC oper = vectorMapAux c_vectorMapC (fromEnum oper)
foreign import ccall safe "gsl-aux.h mapC" c_vectorMapC :: Int -> TCVCV
-------------------------------------------------------------------
-- | map of real vectors with given function
vectorMapValR :: FunCodeSV -> Double -> Vector Double -> Vector Double
vectorMapValR oper = vectorMapValAux c_vectorMapValR (fromEnum oper)
foreign import ccall safe "gsl-aux.h mapValR" c_vectorMapValR :: Int -> Ptr Double -> TVV
-- | map of complex vectors with given function
vectorMapValC :: FunCodeSV -> Complex Double -> Vector (Complex Double) -> Vector (Complex Double)
vectorMapValC = vectorMapValAux c_vectorMapValC
foreign import ccall safe "gsl-aux.h mapValC" c_vectorMapValC :: Int -> Ptr (Complex Double) -> TCVCV
-------------------------------------------------------------------
-- | elementwise operation on real vectors
vectorZipR :: FunCodeVV -> Vector Double -> Vector Double -> Vector Double
vectorZipR = vectorZipAux c_vectorZipR
foreign import ccall safe "gsl-aux.h zipR" c_vectorZipR :: Int -> TVVV
-- | elementwise operation on complex vectors
vectorZipC :: FunCodeVV -> Vector (Complex Double) -> Vector (Complex Double) -> Vector (Complex Double)
vectorZipC = vectorZipAux c_vectorZipC
foreign import ccall safe "gsl-aux.h zipC" c_vectorZipC :: Int -> TCVCVCV
|
