Enumerator and iteratee
An enumerator is something that knows how to process a data structure and an iteratee is something that does one step in processing another piece of the big data structure. E.g. to sum up all elements of Data.Map, we do
Map.fold (+) 0 mp
to sum up all elements of a set we do
Set.fold (+) 0 st
fold is the enumerator and
0 are the iteratee.
Ditto for any other foldable data structure. Clearly the function that sums the current element with the accumulator, (+), doesn't know or care from which collection the elements are coming from. The initial seed, 0, is again unaware of the collection.
Iteratee is indeed the function that you pass to fold (combined with the seed for practical reasons). One may conceptually consider iteratee to be a pair of the function to feed to fold, and the initial seed (the accumulator in the above example). That achieves the separation of concerns: fold (aka, enumerator) has the intimate knowledge of the collection and how to get to the next element; iteratee knows what to do with the current element.
- Haskell-Cafe on understanding enumerator/iteratee