monoids-0.1.36: Monoids, specialized containers and a general map/reduce framework Source code Contents Index

Data.Monoid.Monad Portability non-portable (MPTCs) Stability experimental Maintainer ekmett@gmail.com

Contents Actions MonadPlus Monoid Lifting Modules

Description

Monoid instances for working with a Monad

Synopsis

module Data.Monoid.Reducer module Data.Ring.Module newtype Action m = Action { getAction :: m () } snocAction :: Reducer (m ()) (Action m) => Action m -> m () -> Action m newtype MonadSum m a = MonadSum { getMonadSum :: m a } newtype Mon f m = Mon { getMon :: f m }

Documentation

module Data.Monoid.Reducer

module Data.Ring.Module

Actions

newtype Action m Source

An Action uses glues together Monad actions with (>>) in the manner of mapM_ from Data.Foldable. Any values returned by reduced actions are discarded. Constructors Action getAction :: m () Instances Monad f => RightModule Natural (Action f) Monad f => LeftModule Natural (Action f) Monad f => Module Natural (Action f) Monad m => Monoid (Action m) Monad m => Reducer (m a) (Action m)

snocAction :: Reducer (m ()) (Action m) => Action m -> m () -> Action m Source

Efficiently avoid needlessly rebinding when using snoc on an action that already returns () A rewrite rule automatically applies this when possible

MonadPlus Monoid

newtype MonadSum m a Source

A MonadSum turns any MonadPlus instance into a Monoid. It also provides a Multiplicative instance for a Monad wrapped around a Monoid and asserts that any MonadPlus applied to a Monoid forms a RightSemiNearRing under these operations. Constructors MonadSum getMonadSum :: m a Instances MonadPlus f => RightModule Natural (MonadSum f a) MonadPlus f => LeftModule Natural (MonadSum f a) MonadPlus f => Module Natural (MonadSum f a) Monad m => Monad (MonadSum m) Monad m => Functor (MonadSum m) MonadPlus m => MonadPlus (MonadSum m) Monad m => Applicative (MonadSum m) Monad m => Pointed (MonadSum m) MonadPlus m => Reducer (m a) (MonadSum m a) Eq (m a) => Eq (MonadSum m a) Ord (m a) => Ord (MonadSum m a) Read (m a) => Read (MonadSum m a) Show (m a) => Show (MonadSum m a) MonadPlus m => Monoid (MonadSum m a) (Monad m, Monoid a) => Multiplicative (MonadSum m a) (MonadPlus m, Monoid a) => RightSemiNearRing (MonadSum m a) (MonadPlus m, Monoid a) => Ringoid (MonadSum m a)

Lifting Modules

newtype Mon f m Source

if m is a Module over r and f is a Monad then f Mon m is a Module as well Constructors Mon getMon :: f m Instances (Reducer c m, Monad f) => Reducer c (Mon f m) (RightModule r m, Monad f) => RightModule r (Mon f m) (LeftModule r m, Monad f) => LeftModule r (Mon f m) (Module r m, Monad f) => Module r (Mon f m) Monad f => Monad (Mon f) Functor f => Functor (Mon f) MonadPlus f => MonadPlus (Mon f) Pointed f => Pointed (Mon f) Eq (f m) => Eq (Mon f m) Ord (f m) => Ord (Mon f m) Read (f m) => Read (Mon f m) Show (f m) => Show (Mon f m) (Monoid m, Monad f) => Monoid (Mon f m) (Group m, Monad f) => Group (Mon f m)

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