Data.Complex

For a complex number z, abs z is a number with the magnitude of z, but oriented in the positive real direction, whereas signum z has the phase of z, but unit magnitude.

Constructors

!a :+ !a

forms a complex number from its real and imaginary rectangular components.

Instances

Typeable1 Complex

RealFloat a => Eq (Complex a)

RealFloat a => Floating (Complex a)

RealFloat a => Fractional (Complex a)

(Data a, RealFloat a) => Data (Complex a)

RealFloat a => Num (Complex a)

(Read a, RealFloat a) => Read (Complex a)

RealFloat a => Show (Complex a)

realPart :: RealFloat a => Complex a -> a

Extracts the real part of a complex number.

imagPart :: RealFloat a => Complex a -> a

Extracts the imaginary part of a complex number.

Polar form

mkPolar :: RealFloat a => a -> a -> Complex a

cis :: RealFloat a => a -> Complex a

polar :: RealFloat a => Complex a -> (a, a)

magnitude :: RealFloat a => Complex a -> a

phase :: RealFloat a => Complex a -> a

Conjugate

conjugate :: RealFloat a => Complex a -> Complex a

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