invertible-0.1: bidirectional arrows, bijective functions, and invariant functors

Safe HaskellSafe
LanguageHaskell2010

Data.Invertible.Monoid

Description

Bidirectional transforms for Data.Monoid.

Synopsis

Documentation

newtype BiEndo a Source

The monoid of endomorphisms under composition.

Constructors

BiEndo 

Fields

appBiEndo :: a <-> a
 

dual :: a <-> Dual a Source

(Un)wrap the Dual monoid.

endo :: (a -> a) <-> Endo a Source

(Un)wrap the Endo monoid.

biEndo :: (a <-> a) <-> BiEndo a Source

(Un)wrap the BiEndo monoid.

all :: Bool <-> All Source

(Un)wrap the All monoid.

any :: Bool <-> Any Source

(Un)wrap the Any monoid.

sum :: a <-> Sum a Source

(Un)wrap the Sum monoid.

product :: a <-> Product a Source

(Un)wrap the Product monoid.

first :: Maybe a <-> First a Source

(Un)wrap the First monoid.

last :: Maybe a <-> Last a Source

(Un)wrap the Last monoid.

alt :: f a <-> Alt f a Source

(Un)wrap the Last monoid.