@hackage / function-instances-algebra

This package provides instances for functions (k -> a) of the classes Absolute, Algebraic, Differential, Field, Lattice, Monoid, Ring and Transcendental from the numeric-prelude package. An instance for Additive already comes with the original package.

If a has an instance for one of the classes, then (k -> a) has too. The instances do what you would expect. Values become constant functions:

zero = const zero

Unary functions are composed:

sin f = sin . f

Binary functions fan out the input and combine both results:

f + g = \x -> f x + g x

You can either import them separately or import Data.Function.Instances.Algebra to get them all at once.