Safe Haskell | Safe-Inferred |
---|---|
Language | Haskell98 |
- data RealFloat a => Polar a = !a :< !a
- fromPolar :: RealFloat a => Polar a -> Complex a
- fromComplex :: RealFloat a => Complex a -> Polar a
- realPart :: RealFloat a => Polar a -> a
- imagPart :: RealFloat a => Polar a -> a
- conjugate :: RealFloat a => Polar a -> Polar a
- mkPolar :: RealFloat a => a -> a -> Polar a
- cis :: RealFloat a => a -> Polar a
- polar :: RealFloat a => Polar a -> (a, a)
- magnitude :: RealFloat a => Polar a -> a
- phase :: RealFloat a => Polar a -> a
Documentation
data RealFloat a => Polar a Source
Complex numbers are an algebraic type.
For a complex number z
,
is a number with the magnitude of abs
zz
,
but oriented in the positive real direction, whereas
has the phase of signum
zz
, but unit magnitude.
!a :< !a infix 6 | forms a complex number from its magnitude and its phase in radians. |
fromComplex :: RealFloat a => Complex a -> Polar a Source
Convert to polar form.
mkPolar :: RealFloat a => a -> a -> Polar a Source
Form a complex number from polar components of magnitude and phase. Phase is wrapped into (-pi,pi].