Add some specialisations for Complex Double.
(are SPECIALISE instance pragmas now ignored?)
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-% $Id: Complex.lhs,v 1.5 2000/06/30 13:39:35 simonmar Exp $
+% $Id: Complex.lhs,v 1.6 2001/09/19 14:05:01 simonmar Exp $
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% (c) The University of Glasgow, 1994-2000
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% (c) The University of Glasgow, 1994-2000
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\begin{code}
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\begin{code}
+{-# SPECIALISE realPart :: Complex Double -> Double #-}
+{-# SPECIALISE imagPart :: Complex Double -> Double #-}
realPart, imagPart :: (RealFloat a) => Complex a -> a
realPart (x :+ _) = x
imagPart (_ :+ y) = y
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)
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
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
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)
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
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
phase :: (RealFloat a) => Complex a -> a
phase (0 :+ 0) = 0 -- SLPJ July 97 from John Peterson
phase (x:+y) = atan2 y x