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-----------------------------------------------------------------------------
-- |
-- Module : Data.Packed.Vector
-- Copyright : (c) Alberto Ruiz 2007
-- License : GPL-style
--
-- Maintainer : Alberto Ruiz <aruiz@um.es>
-- Stability : provisional
-- Portability : portable
--
-- Vectors
--
-----------------------------------------------------------------------------
module Data.Packed.Vector (
Vector(dim), Field,
fromList, toList,
(@>),
subVector, join,
constant,
toComplex, comp,
conj,
dot,
linspace,
liftVector, liftVector2
) where
import Data.Packed.Internal
import Complex
--import GSL.Vector
-- | creates a complex vector from vectors with real and imaginary parts
toComplex :: (Vector Double, Vector Double) -> Vector (Complex Double)
toComplex (r,i) = asComplex $ cdat $ fromColumns [r,i]
-- | obtains the complex conjugate of a complex vector
conj :: Vector (Complex Double) -> Vector (Complex Double)
conj v = asComplex $ cdat $ reshape 2 (asReal v) `mulC` diag (fromList [1,-1])
where mulC = multiply RowMajor
comp :: Vector Double -> Vector (Complex Double)
comp v = toComplex (v,constant 0 (dim v))
{- | Creates a real vector containing a range of values:
@\> linspace 5 (-3,7)
5 |> [-3.0,-0.5,2.0,4.5,7.0]@
-}
linspace :: Int -> (Double, Double) -> Vector Double
linspace n (a,b) = fromList [a::Double,a+delta .. b]
where delta = (b-a)/(fromIntegral n -1)
dot :: (Field t) => Vector t -> Vector t -> t
dot u v = dat (multiply RowMajor r c) `at` 0
where r = matrixFromVector RowMajor (dim u) u
c = matrixFromVector RowMajor 1 v
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