Data.Lens.Traversal

traversed :: forall t a b. Traversable t => Traversal (t a) (t b) a b

A Traversal for the elements of a Traversable functor.

over traversed negate [1, 2, 3] == [-1,-2,-3]
over traversed negate (Just 3) == Just -3

element :: forall p s t a. Wander p => Int -> Traversal s t a a -> Optic p s t a a

Combine an index and a traversal to narrow the focus to a single element. Compare to Data.Lens.Index.

set     (element 2 traversed) 8888 [0, 0, 3] == [0, 0, 8888]
preview (element 2 traversed)      [0, 0, 3] == Just 3

The resulting traversal is called an affine traversal, which means that the traversal focuses on one or zero (if the index is out of range) results.

traverseOf :: forall f s t a b. Optic (Star f) s t a b -> (a -> f b) -> s -> f t

Turn a pure profunctor Traversal into a lens-like Traversal.

sequenceOf :: forall f s t a. Optic (Star f) s t (f a) a -> s -> f t

Sequence the foci of an optic, pulling out an "effect". If you do not need the result, see sequenceOf_ for Folds.

sequenceOf traversed has the same result as Data.Traversable.sequence:

sequenceOf traversed (Just [1, 2]) == [Just 1, Just 2]
sequence             (Just [1, 2]) == [Just 1, Just 2]

An example with effects:

> array = [random, random]
> :t array
Array (Eff ... Number)

> effect = sequenceOf traversed array
> :t effect
Eff ... (Array Number)

> effect >>= logShow
[0.15556037108154985,0.28500369615270515]
unit

failover :: forall f s t a b. Alternative f => Optic (Star (Tuple (Disj Boolean))) s t a b -> (a -> b) -> s -> f t

Tries to map over a Traversal; returns empty if the traversal did not have any new focus.

elementsOf :: forall p i s t a. Wander p => IndexedTraversal i s t a a -> (i -> Boolean) -> IndexedOptic p i s t a a

Traverse elements of an IndexedTraversal whose index satisfy a predicate.

itraverseOf :: forall f i s t a b. IndexedOptic (Star f) i s t a b -> (i -> a -> f b) -> s -> f t

Turn a pure profunctor IndexedTraversal into a lens-like IndexedTraversal.

iforOf :: forall f i s t a b. IndexedOptic (Star f) i s t a b -> s -> (i -> a -> f b) -> f t

Flipped version of itraverseOf.

cloneTraversal :: forall s t a b. ATraversal s t a b -> Traversal s t a b

both :: forall r a b. Bitraversable r => Traversal (r a a) (r b b) a b

type Traversal' s a = Traversal s s a a

type Traversal s t a b = forall p. Wander p => Optic p s t a b

A traversal.