X-Git-Url: http://git.megacz.com/?a=blobdiff_plain;f=Data%2FComplex.hs;h=8ad4c2e4963869ed1eb3eaa8905e63da599e0737;hb=f7a485978f04e84b086f1974b88887cc72d832d0;hp=e132f2186c142750767b2f402b3515b17d4ab1b1;hpb=7f1f4e7a695c402ddd3a1dc2cc7114e649a78ebc;p=ghc-base.git diff --git a/Data/Complex.hs b/Data/Complex.hs index e132f21..8ad4c2e 100644 --- a/Data/Complex.hs +++ b/Data/Complex.hs @@ -1,15 +1,13 @@ ----------------------------------------------------------------------------- --- +-- | -- Module : Data.Complex -- Copyright : (c) The University of Glasgow 2001 --- License : BSD-style (see the file libraries/core/LICENSE) +-- License : BSD-style (see the file libraries/base/LICENSE) -- -- Maintainer : libraries@haskell.org -- Stability : provisional -- Portability : portable -- --- $Id: Complex.hs,v 1.1 2001/06/28 14:15:02 simonmar Exp $ --- -- Complex numbers. -- ----------------------------------------------------------------------------- @@ -58,24 +56,30 @@ realPart, imagPart :: (RealFloat a) => Complex a -> a realPart (x :+ _) = x imagPart (_ :+ y) = y +{-# SPECIALISE conjugate :: Complex Double -> Complex Double #-} conjugate :: (RealFloat a) => Complex a -> Complex a conjugate (x:+y) = x :+ (-y) +{-# SPECIALISE mkPolar :: Double -> Double -> Complex Double #-} mkPolar :: (RealFloat a) => a -> a -> Complex a mkPolar r theta = r * cos theta :+ r * sin theta +{-# SPECIALISE cis :: Double -> Complex Double #-} cis :: (RealFloat a) => a -> Complex a cis theta = cos theta :+ sin theta +{-# SPECIALISE polar :: Complex Double -> (Double,Double) #-} polar :: (RealFloat a) => Complex a -> (a,a) polar z = (magnitude z, phase z) +{-# SPECIALISE magnitude :: Complex Double -> Double #-} magnitude :: (RealFloat a) => Complex a -> a magnitude (x:+y) = scaleFloat k (sqrt ((scaleFloat mk x)^(2::Int) + (scaleFloat mk y)^(2::Int))) where k = max (exponent x) (exponent y) mk = - k +{-# SPECIALISE phase :: Complex Double -> Double #-} phase :: (RealFloat a) => Complex a -> a phase (0 :+ 0) = 0 -- SLPJ July 97 from John Peterson phase (x:+y) = atan2 y x