[project @ 2001-01-17 15:23:39 by sewardj]

[ghc-hetmet.git] / ghc / interpreter / library / Complex.hs

diff --git a/ghc/interpreter/library/Complex.hs b/ghc/interpreter/library/Complex.hs
deleted file mode 100644 (file)
index c579579..0000000
--- a/ghc/interpreter/library/Complex.hs
+++ /dev/null
@@ -1,92 +0,0 @@
-
-module Complex(Complex((:+)), realPart, imagPart, conjugate, mkPolar,
-               cis, polar, magnitude, phase)  where
-
-infix  6  :+
-
-data  (RealFloat a)     => Complex a = !a :+ !a  deriving (Eq,Read,Show)
-
-
-realPart, imagPart :: (RealFloat a) => Complex a -> a
-realPart (x:+y)         =  x
-imagPart (x:+y)         =  y
-
-conjugate       :: (RealFloat a) => Complex a -> Complex a
-conjugate (x:+y) =  x :+ (-y)
-
-mkPolar                 :: (RealFloat a) => a -> a -> Complex a
-mkPolar r theta         =  r * cos theta :+ r * sin theta
-
-cis             :: (RealFloat a) => a -> Complex a
-cis theta       =  cos theta :+ sin theta
-
-polar           :: (RealFloat a) => Complex a -> (a,a)
-polar z                 =  (magnitude z, phase z)
-
-magnitude, phase :: (RealFloat a) => Complex a -> a
-magnitude (x:+y) =  scaleFloat k
-                    (sqrt ((scaleFloat mk x)^2 + (scaleFloat mk y)^2))
-                   where k  = max (exponent x) (exponent y)
-                         mk = - k
-
-phase (x:+y)    =  atan2 y x
-
-
-instance  (RealFloat a) => Num (Complex a)  where
-    (x:+y) + (x':+y')  =  (x+x') :+ (y+y')
-    (x:+y) - (x':+y')  =  (x-x') :+ (y-y')
-    (x:+y) * (x':+y')  =  (x*x'-y*y') :+ (x*y'+y*x')
-    negate (x:+y)      =  negate x :+ negate y
-    abs z              =  magnitude z :+ 0
-    signum 0           =  0
-    signum z@(x:+y)    =  x/r :+ y/r  where r = magnitude z
-    fromInteger n      =  fromInteger n :+ 0
-
-instance  (RealFloat a) => Fractional (Complex a)  where
-    (x:+y) / (x':+y')  =  (x*x''+y*y'') / d :+ (y*x''-x*y'') / d
-                          where x'' = scaleFloat k x'
-                                y'' = scaleFloat k y'
-                                k   = - max (exponent x') (exponent y')
-                                d   = x'*x'' + y'*y''
-
-    fromRational a     =  fromRational a :+ 0
-
-instance  (RealFloat a) => Floating (Complex a)        where
-    pi             =  pi :+ 0
-    exp (x:+y)     =  expx * cos y :+ expx * sin y
-                      where expx = exp x
-    log z          =  log (magnitude z) :+ phase z
-
-    sqrt 0         =  0
-    sqrt z@(x:+y)  =  u :+ (if y < 0 then -v else v)
-                      where (u,v) = if x < 0 then (v',u') else (u',v')
-                            v'    = abs y / (u'*2)
-                            u'    = sqrt ((magnitude z + abs x) / 2)
-
-    sin (x:+y)     =  sin x * cosh y :+ cos x * sinh y
-    cos (x:+y)     =  cos x * cosh y :+ (- sin x * sinh y)
-    tan (x:+y)     =  (sinx*coshy:+cosx*sinhy)/(cosx*coshy:+(-sinx*sinhy))
-                      where sinx  = sin x
-                            cosx  = cos x
-                            sinhy = sinh y
-                            coshy = cosh y
-
-    sinh (x:+y)    =  cos y * sinh x :+ sin  y * cosh x
-    cosh (x:+y)    =  cos y * cosh x :+ sin y * sinh x
-    tanh (x:+y)    =  (cosy*sinhx:+siny*coshx)/(cosy*coshx:+siny*sinhx)
-                      where siny  = sin y
-                            cosy  = cos y
-                            sinhx = sinh x
-                            coshx = cosh x
-
-    asin z@(x:+y)  =  y':+(-x')
-                      where  (x':+y') = log (((-y):+x) + sqrt (1 - z*z))
-    acos z@(x:+y)  =  y'':+(-x'')
-                      where (x'':+y'') = log (z + ((-y'):+x'))
-                            (x':+y')   = sqrt (1 - z*z)
-    atan z@(x:+y)  =  y':+(-x')
-                      where (x':+y') = log (((1-y):+x) / sqrt (1+z*z))
-
-    asinh z        =  log (z + sqrt (1+z*z))
-    acosh z        =  log (z + (z+1) * sqrt ((z-1)/(z+1)))
-    atanh z        =  log ((1+z) / sqrt (1-z*z))