Copyright | (C) 2012-14 Edward Kmett |
---|---|

License | BSD-style (see the file LICENSE) |

Maintainer | Edward Kmett <ekmett@gmail.com> |

Stability | experimental |

Portability | non-portable |

Safe Haskell | None |

Language | Haskell98 |

- type Action m s a = forall f r. Effective m r f => (a -> f a) -> s -> f s
- act :: Monad m => (s -> m a) -> IndexPreservingAction m s a
- acts :: IndexPreservingAction m (m a) a
- perform :: Monad m => Acting m a s a -> s -> m a
- performs :: (Profunctor p, Monad m) => Over p (Effect m e) s t a b -> p a e -> s -> m e
- liftAct :: (MonadTrans trans, Monad m) => Acting m a s a -> IndexPreservingAction (trans m) s a
- (^!) :: Monad m => s -> Acting m a s a -> m a
- (^!!) :: Monad m => s -> Acting m [a] s a -> m [a]
- (^!?) :: Monad m => s -> Acting m (Leftmost a) s a -> m (Maybe a)
- type IndexedAction i m s a = forall p f r. (Indexable i p, Effective m r f) => p a (f a) -> s -> f s
- iact :: Monad m => (s -> m (i, a)) -> IndexedAction i m s a
- iperform :: Monad m => IndexedActing i m (i, a) s a -> s -> m (i, a)
- iperforms :: Monad m => IndexedActing i m e s a -> (i -> a -> e) -> s -> m e
- (^@!) :: Monad m => s -> IndexedActing i m (i, a) s a -> m (i, a)
- (^@!!) :: Monad m => s -> IndexedActing i m [(i, a)] s a -> m [(i, a)]
- (^@!?) :: Monad m => s -> IndexedActing i m (Leftmost (i, a)) s a -> m (Maybe (i, a))
- type MonadicFold m s a = forall f r. (Effective m r f, Applicative f) => (a -> f a) -> s -> f s
- type IndexedMonadicFold i m s a = forall p f r. (Indexable i p, Effective m r f, Applicative f) => p a (f a) -> s -> f s
- type Acting m r s a = LensLike (Effect m r) s s a a
- type IndexedActing i m r s a = Over (Indexed i) (Effect m r) s s a a
- class (Monad m, Functor f, Contravariant f) => Effective m r f | f -> m r

# Composable Actions

act :: Monad m => (s -> m a) -> IndexPreservingAction m s a Source

acts :: IndexPreservingAction m (m a) a Source

liftAct :: (MonadTrans trans, Monad m) => Acting m a s a -> IndexPreservingAction (trans m) s a Source

(^!) :: Monad m => s -> Acting m a s a -> m a infixr 8 Source

Perform an `Action`

.

`>>>`

hello world`["hello","world"]^!folded.act putStrLn`

(^!!) :: Monad m => s -> Acting m [a] s a -> m [a] infixr 8 Source

Perform a `MonadicFold`

and collect all of the results in a list.

`>>>`

["ace","acf","ade","adf","bce","bcf","bde","bdf"]`["ab","cd","ef"]^!!folded.acts`

(^!?) :: Monad m => s -> Acting m (Leftmost a) s a -> m (Maybe a) infixr 8 Source

Perform a `MonadicFold`

and collect the leftmost result.

*Note:* this still causes all effects for all elements.

`>>>`

Just (Just 1)`[Just 1, Just 2, Just 3]^!?folded.acts`

`>>>`

Nothing`[Just 1, Nothing]^!?folded.acts`

# Indexed Actions

type IndexedAction i m s a = forall p f r. (Indexable i p, Effective m r f) => p a (f a) -> s -> f s Source

An `IndexedAction`

is an `IndexedGetter`

enriched with access to a `Monad`

for side-effects.

Every `Getter`

can be used as an `Action`

.

You can compose an `Action`

with another `Action`

using (`.`

) from the `Prelude`

.

iact :: Monad m => (s -> m (i, a)) -> IndexedAction i m s a Source

Construct an `IndexedAction`

from a monadic side-effect.

iperform :: Monad m => IndexedActing i m (i, a) s a -> s -> m (i, a) Source

Perform an `IndexedAction`

.

`iperform`

≡`flip`

('^@!')

iperforms :: Monad m => IndexedActing i m e s a -> (i -> a -> e) -> s -> m e Source

Perform an `IndexedAction`

and modify the result.

(^@!) :: Monad m => s -> IndexedActing i m (i, a) s a -> m (i, a) infixr 8 Source

Perform an `IndexedAction`

.

(^@!!) :: Monad m => s -> IndexedActing i m [(i, a)] s a -> m [(i, a)] infixr 8 Source

Obtain a list of all of the results of an `IndexedMonadicFold`

.

(^@!?) :: Monad m => s -> IndexedActing i m (Leftmost (i, a)) s a -> m (Maybe (i, a)) infixr 8 Source

Perform an `IndexedMonadicFold`

and collect the `Leftmost`

result.

*Note:* this still causes all effects for all elements.

# Folds with Effects

type MonadicFold m s a = forall f r. (Effective m r f, Applicative f) => (a -> f a) -> s -> f s Source

A `MonadicFold`

is a `Fold`

enriched with access to a `Monad`

for side-effects.

Every `Fold`

can be used as a `MonadicFold`

, that simply ignores the access to the `Monad`

.

You can compose a `MonadicFold`

with another `MonadicFold`

using (`.`

) from the `Prelude`

.

type IndexedMonadicFold i m s a = forall p f r. (Indexable i p, Effective m r f, Applicative f) => p a (f a) -> s -> f s Source

An `IndexedMonadicFold`

is an `IndexedFold`

enriched with access to a `Monad`

for side-effects.

Every `IndexedFold`

can be used as an `IndexedMonadicFold`

, that simply ignores the access to the `Monad`

.

You can compose an `IndexedMonadicFold`

with another `IndexedMonadicFold`

using (`.`

) from the `Prelude`

.

# Implementation Details

type IndexedActing i m r s a = Over (Indexed i) (Effect m r) s s a a Source

Used to evaluate an `IndexedAction`

.

class (Monad m, Functor f, Contravariant f) => Effective m r f | f -> m r Source

An `Effective`

`Functor`

ignores its argument and is isomorphic to a `Monad`

wrapped around a value.

That said, the `Monad`

is possibly rather unrelated to any `Applicative`

structure.