Fractal.RUFF.Types.Complex

Complex numbers without the RealFloat constraint.

Documentation

data Complex r

Complex number type without the RealFloat constraint.

Constructors

!r :+ !r

Instances

Typeable1 Complex

Eq r => Eq (Complex r)

(Fractional (Complex r), Ord r, Floating r) => Floating (Complex r)

(Num (Complex r), Fractional r) => Fractional (Complex r)

(Typeable (Complex r), Data r) => Data (Complex r)

Num r => Num (Complex r)

Read r => Read (Complex r)

Show r => Show (Complex r)

(Num (Complex r), NearZero r) => NearZero (Complex r)

cis :: Floating r => r -> Complex r

Complex number with magnitude 1 and the given phase.

mkPolar :: Floating r => r -> r -> Complex r

Complex number with the given magnitude and phase.

realPart :: Complex r -> r

Extract the real part.

imagPart :: Complex r -> r

Extract the imaginary part.

conjugate :: Num r => Complex r -> Complex r

Complex conjugate.

magnitude2 :: Num r => Complex r -> r

Complex magnitude squared.

magnitude :: Floating r => Complex r -> r

Complex magnitude.

phase :: (Ord r, Floating r) => Complex r -> r

Complex phase.

polar :: (Ord r, Floating r) => Complex r -> (r, r)

Convert to polar form.