The closest thing is the mealy machine type from this library, which is 
equivalent, although possibly less efficient (and missing the `focus` utility):

https://hackage.haskell.org/package/machines-0.6.1/docs/Data-Machine-Mealy.html 
<https://hackage.haskell.org/package/machines-0.6.1/docs/Data-Machine-Mealy.html>

This is something I've been meaning to write up in a small library at some 
point, but I keep forgetting.

> On Aug 29, 2016, at 4:49 PM, Louis Pan <lo...@pan.me> wrote:
> 
> Hi Gabriel, thank you for taking the time to answer my questions.
> 
> Is your Scan encoding available anywhere? The closest thing I can find is 
> ekmett's "strict Mealy Machine" at 
> https://hackage.haskell.org/package/folds-0.7.1/docs/Data-Fold-L1'.html 
> <https://hackage.haskell.org/package/folds-0.7.1/docs/Data-Fold-L1'.html> but 
> it looks quite different.
> 
> On Saturday, 27 August 2016 02:15:25 UTC+10, Gabriel Gonzalez wrote:
> Yeah, what you wrote looks correct.  The general idea is that you compose 
> `Fold`s and then convert to a `Pipe` at the last minute.
> 
> There's another related type which also has nice properties for this sort of 
> thing, which is basically a mealy machine.  I usually encode it like this:
> 
> {-# LANGUAGE ExistentialQuantification #-}
> 
> data Scan a b = forall m . Monoid m => Scan { begin :: s, step :: s -> a -> 
> (s, b) }
> 
> instance Category Scan where ...
> instance Arrow Scan where ...
> instance Functor (Scan a) where ...
> instance Applicative (Scan a) where ...
> 
> focus
>     :: (forall x. LensLike (State x) s t a b)
>     -> Scan a b
>     -> Scan s t
> focus k (Scan s f) = Scan s (Control.Lens.mapAccumLOf k f)
> 
> Then you can use `focus traverse` to lift a `Scan` to work on anything that 
> is `Traversable` (like `ZipList`):
> 
> focus traverse :: Traversable t => Scan a b -> Scan (t a) (t b)
> 
>> On Aug 26, 2016, at 3:37 AM, Louis Pan <lo...@ <>pan.me <http://pan.me/>> 
>> wrote:
>> 
>> I think I understand what you mean by using Control.Fold.Foldl.
>> 
>> It's not possible to "applicatively" lift a Pipe from "Pipe a b m r" to 
>> "Applicative f => Pipe (f a) (f a) m r", but it is possible to lift a 
>> Control.Foldl.Fold from "Fold a b" to "Applicative f => Fold a b -> Fold (f 
>> a) (f b)" (see below).
>> 
>> This means it's better in my case to code the consumer as a Fold (and then 
>> convert it to a Pipes Parse), as opposed to a Pipe Consumer.
>> 
>> -- requires a function to force the applicative to prevent space leaks.
>> liftFold :: Applicative f => (forall x. f x -> f x) -> L.Fold a b -> L.Fold 
>> (f a) (f b)
>> liftFold f (L.Fold step begin done) = L.Fold step' begin' done'
>>  where
>>   step' xs as = f (step <$> xs <*> as)
>>   begin' = pure begin
>>   done' xs = done <$> xs
>> 
>> forceZipList :: ZipList a -> ZipList a
>> forceZipList (ZipList xs) = ZipList (forceFoldable xs)
>> 
>> -- https://ro-che.info/articles/2015-05-28-force-list 
>> <https://ro-che.info/articles/2015-05-28-force-list>
>> forceFoldable :: Foldable t => t a -> t a
>> forceFoldable xs = case foldr seq () xs of
>>       () -> xs
>> 
>> liftZipList ::  L.Fold a b -> L.Fold (ZipList a) (ZipList b)
>> liftZipList = liftFold forceZipList
>> 
>> I've confirmed this prevents space leaks by profiling with "+RTS -h -p" and 
>> using hp2ps.
>> 
>> However, I'm a novice with the significance of using seq and $!.
>> 
>> Am I doing anything dangerously? Is there something I should be careful of?
>> 
>> 
>> On Wednesday, 24 August 2016 20:16:29 UTC+10, Louis Pan wrote:
>> My code doesn't stream properly - it forces consumption of the original 
>> producer before outputting anything. :(
>> 
>> On Wednesday, 24 August 2016 04:24:03 UTC+10, Louis Pan wrote:
>> I managed to convert between `P.Producer (ZipList a) m r` and `ZipList 
>> (P.Producer a m ()` using the StateT trick used in Pipes.Parse
>> 
>> Does the following code make sense? Am I breaking any laws?
>> 
>> import Control.Applicative
>> import Control.Monad.Trans.Class
>> import Control.Monad.Trans.State.Strict
>> import qualified Pipes as P
>> import qualified Pipes.Lift as PL
>> 
>> -- ZipList Traversable is only in 4.9.0.0
>> sequenceAZipList :: Applicative f => ZipList (f a) -> f (ZipList a)
>> sequenceAZipList xs = ZipList <$> sequenceA (getZipList xs)
>> 
>> -- | Similar to Pipes.Parse.Parser, except it stores a ZipList of Producers.
>> type ZipParser a m r = forall x . StateT (ZipList (P.Producer a m x)) m r
>> 
>> -- | Draw one element from each underlying Producer, returning 'Nothing' if 
>> any of the producers are empty
>> drawZ :: Monad m => ZipParser a m (Maybe (ZipList a))
>> drawZ = do
>>   ps <- get
>>   rs <- lift (sequenceAZipList (P.next <$> ps))
>>   case sequenceAZipList rs of
>>     Left _ -> pure Nothing
>>     Right rs' -> do
>>       put $ snd <$> rs'
>>       pure . Just $ fst <$> rs'
>> 
>> -- | Push back a Ziplist element onto the underlying ZipList of Producers
>> unDrawZ :: Monad m => ZipList a -> ZipParser a m ()
>> unDrawZ as = modify (\ps -> appendA <$> ps <*> as)
>>  where
>>   appendA p a = do
>>     r <- p
>>     P.yield a
>>     pure r
>> 
>> toZipList :: Monad m => P.Producer (ZipList a) m r -> m (ZipList (P.Producer 
>> a m ()))
>> toZipList p = execStateT (toZipParser p) (pure (pure ()))
>>  where
>>   toZipParser :: Monad m => P.Producer (ZipList a) m r -> ZipParser a m r
>>   toZipParser p' = do
>>     r <- lift $ P.next p'
>> 
>> 
>> On Tuesday, 23 August 2016 15:01:54 UTC+10, Louis Pan wrote:
>> Sorry, could you please elaborate? I'm a bit slow.
>> 
>> How do I use Control.Foldl.Fold to convert `Pipes a b m r` into `Pipes 
>> (ZipList a) (ZipList b) m r` ?
>> 
>> 
>> On Tuesday, 23 August 2016 13:20:24 UTC+10, Gabriel Gonzalez wrote:
>> I would do what you're already doing with `Control.Foldl.Fold`.  That's the 
>> approach I usually recommend for this.
>> 
>>> On Aug 22, 2016, at 6:45 PM, Louis Pan <lo...@pan.me <>> wrote:
>>> 
>>> One approach I can think of is the use Pipes.Concurrent to manually split 
>>> the ZipList and then combine then results. Is there a nicer way?
>>> 
>>> On Tuesday, 23 August 2016 11:35:50 UTC+10, Louis Pan wrote:
>>> Say I have a `Pipes a b m r` called 'p'.
>>> 
>>> How do I convert it to a `Pipes (ZipList a) (ZipList b) m r`?
>>> That is, I want to apply the pipe 'p' and apply zip-wise to an input 
>>> ziplist, without losing the state of each pipe in the ziplist.
>>> 
>>> The reason I want this, is that I want to run multiple attoparsec parsers 
>>> in parallel in one pass of a file.
>>> 
>>> My approach for this is to use Control.Foldl  to combine the attoparsec 
>>> parsers into a `Control.Foldl.Fold ByteString [PartialParseResult]`, then 
>>> convert it (using Control.Foldl.purely Pipes.Prelude.scan) to a `Pipe 
>>> ByteString [PartialParseResult]`
>>> 
>>> My other requirement is that I want to look at intermediate parser output 
>>> (eg. each line of a file as it's parsed), in order to summarise each line, 
>>> in a stateful way as I'm keeping track of the current line number.
>>> 
>>> My approach for this is to use Control.Foldl.Fold for the summary logic, 
>>> and then convert it to a pipe. I am able to create a `Pipe 
>>> PartialParseResult AnalysisResult m r` for this.
>>> 
>>> However, how do I connect a `Pipe ByteString [PartialParseResult] m r` to a 
>>> `Pipe PartialParseResult AnalysisResult m r`?
>>> 
>>> Regards,
>>> 
>>> Louis
>>> 
>>> 
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