Data.Semigroup.Traversable

class (Foldable1 t, Traversable t) <= Traversable1 t  where

Traversable1 represents data structures with a minimum of one element that can be traversed, accumulating results and effects in some Applicative functor.

• traverse1 runs an action for every element in a data structure, and accumulates the results.
• sequence1 runs the actions contained in a data structure, and accumulates the results.

The traverse1 and sequence1 functions should be compatible in the following sense:

• traverse1 f xs = sequence1 (f <$> xs)
• sequence1 = traverse1 identity

Traversable1 instances should also be compatible with the corresponding Foldable1 instances, in the following sense:

• foldMap1 f = runConst <<< traverse1 (Const <<< f)

Default implementations are provided by the following functions:

• traverse1Default
• sequence1Default

Members

• traverse1 :: forall a b f. Apply f => (a -> f b) -> t a -> f (t b)
• sequence1 :: forall b f. Apply f => t (f b) -> f (t b)

Instances

• Traversable1 Dual
• Traversable1 Multiplicative

traverse1Default :: forall t a b m. Traversable1 t => Apply m => (a -> m b) -> t a -> m (t b)

A default implementation of traverse1 using sequence1.

sequence1Default :: forall t a m. Traversable1 t => Apply m => t (m a) -> m (t a)

A default implementation of sequence1 using traverse1.