lens-1.1.1: Families of Lenses, Folds and Traversals

PortabilityHaskell2010
Stabilityprovisional
MaintainerEdward Kmett <ekmett@gmail.com>
Safe HaskellSafe-Infered

Data.Complex.Lens

Description

 

Synopsis

Documentation

real :: Simple Lens (Complex a) aSource

Access the real part of a complex number

 real :: Functor f => (a -> f a) -> Complex a -> f (Complex a)

imaginary :: Simple Lens (Complex a) aSource

Access the imaginary part of a complex number

 imaginary :: Functor f => (a -> f a) -> Complex a -> f (Complex a)

polarize :: (RealFloat a, RealFloat b) => Lens (Complex a) (Complex b) (a, a) (b, b)Source

This isn't quite a legal lens. Notably the view l (set l b a) = b law is violated when you set a polar value with 0 magnitude and non-zero phase as the phase information is lost. So don't do that! Otherwise, this is a perfectly cromulent lens.

 polarize :: (RealFloat a, RealFloat b, Functor f)
           => ((a,a) -> f (b,b)) -> Complex a -> f (Complex b)

traverseComplex :: Traversal (Complex a) (Complex b) a bSource

Traverse both the real and imaginary parts of a complex number.

 traverseComplex :: Applicative f => (a -> f b) -> Complex a -> f (Complex b)