On Fri, Sep 13, 2013 at 10:07 AM, Mario Blažević <blamario@acanac.net> wrote:
On 09/13/13 02:28, Michael Snoyman wrote:



On Fri, Sep 13, 2013 at 9:18 AM, Mario Blažević <blamario@acanac.net <mailto:blamario@acanac.net>> wrote:

        On 09/13/13 01:51, Michael Snoyman wrote:

        On Fri, Sep 13, 2013 at 5:38 AM, Mario Blažević
        <blamario@acanac.net <mailto:blamario@acanac.net>
        <mailto:blamario@acanac.net <mailto:blamario@acanac.net>>> wrote:

            On 09/11/13 19:37, John Lato wrote:


                3.  I'm not entirely sure that the length* functions
        belong
                here.  I
                understand why, and I think it's sensible reasoning, and I
                don't have a
                good argument against it, but I just don't like it.  With
                those, and
                mapM_-like functions, it seems that the foldable class is
                halfway to
                being another monolithic ListLike.  But I don't have any
                better ideas
                either.


                    If monolithic classes bother you, my monoid-subclasses
            package manages to break down the functionality into several
            classes. One big difference is that everything is based
        off Monoid
            rather than Foldable, and that has some big effects on the
        interface.



        I'd point out what I'd consider a bigger difference: the type
        signatures have changed in a significant way. With
        MonoFoldable, folding on a ByteString would be:

            (Word8 -> b -> b) -> b -> ByteString -> b

        With monoid-subclasses, you get:

            (ByteString -> b -> b) -> b -> ByteString -> b

        There's certainly a performance issue to discuss, but I'm more
        worried about semantics. Word8 tells me something very
        specific: I have one, and precisely one, octet. ByteString
        tells me I have anywhere from 0 to 2^32 or 2^64  octets. Yes,
        we know from context that it will always be of size one, but
        the type system can't enforce that invariant.


        All true, but we can also use this generalization to our
    advantage. For example, the same monoid-subclasses package
    provides ByteStringUTF8, a newtype wrapper around ByteString. It
    behaves the same as the plain ByteString except its atomic factors
    are not of size 1, instead it folds on UTF-8 encoded character
    boundaries. You can't represent that in Haskell's type system.



I can think of two different ways of achieving this approach with MonoFoldable instead: by setting `Element` to either `Char` or `ByteStringUTF8`. The two approaches would look like:

newtype ByteStringUTF8A = ByteStringUTF8A S.ByteString
type instance Element ByteStringUTF8A = Char
instance MonoFoldable ByteStringUTF8A where
    ofoldr f b (ByteStringUTF8A bs) = ofoldr f b (decodeUtf8 bs)
    ofoldl' = undefined

newtype ByteStringUTF8B = ByteStringUTF8B S.ByteString
type instance Element ByteStringUTF8B = ByteStringUTF8B
instance MonoFoldable ByteStringUTF8B where
    ofoldr f b (ByteStringUTF8B bs) = ofoldr (f . ByteStringUTF8B . encodeUtf8 . T.singleton) b (decodeUtf8 bs)
    ofoldl' = undefined

I'd personally prefer the first approach, as that gives the right guarantees at the type level: each time the function is called, it will be provided with precisely one character. I believe the second approach provides the same behavior as monoid-subclasses does right now.


    Right now monoid-subclasses actually provides both approaches. You're correct that it provides the second one as instance FactorialMonoid ByteStringUTF8, but it also provides the former as instance TextualMonoid ByteStringUTF8. The TextualMonoid class is basically what you'd get if you restricted MonoFoldable to type Elem=Char. I wanted to keep the package extension-free, you see.


Got it, that makes sense.
 
    My main point is that it's worth considering basing MonoFoldable on FactorialMonoid, because it can be considered its specialization. Methods like length, take, or reverse, which never mention the item type in their signature, can be inherited from the FactorialMonoid superclass with no change whatsoever. Other methods would differ in their signatures (and performance), but the semantics would carry over.



My immediate concern is that this would enforce a number of restrictions on what could be a MonoFoldable. For example, you couldn't have an instance for `Identity a`. Being able to fold over any arbitrary container, even if it's not a Monoid, can be very useful.

Michael