Hi all,
I'm trying to learn about enumerators by reading this paper and came across some code on page 2 that I found hard to digest, but I think I finally got it:
I guess, it shows my lack of experience in Haskell, but my question is, why is writing the code this way preferred over say writing it like this:
Cheers, -John _______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
Because they are more general functions that work on all monads rather
than just lists. This allows Stream to be defined more flexibly. On Mon, May 30, 2011 at 9:01 PM, John Ky <[hidden email]> wrote: > Hi all, > I'm trying to learn about enumerators by reading this paper and came across > some code on page 2 that I found hard to digest, but I think I finally got > it: > > import Data.Monoid > data Stream a > = Chunks [a] > | EOF > deriving (Show, Eq) > instance Monad Stream where > return = Chunks . return > Chunks xs >>= f = mconcat (fmap f xs) > EOF >>= _ = EOF > instance Monoid (Stream a) where > mempty = Chunks mempty > mappend (Chunks xs) (Chunks ys) = Chunks (xs ++ ys) > mappend _ _ = EOF > > I guess, it shows my lack of experience in Haskell, but my question is, why > is writing the code this way preferred over say writing it like this: > > import Data.Monoid > data Stream a > = Chunks [a] > | EOF > deriving (Show, Eq) > instance Monad Stream where > return x = Chunks [x] > Chunks xs >>= f = mconcat (fmap f xs) > EOF >>= _ = EOF > instance Monoid (Stream a) where > mempty = Chunks [] > mappend (Chunks xs) (Chunks ys) = Chunks (xs ++ ys) > mappend _ _ = EOF > > Cheers, > -John > > _______________________________________________ > Haskell-Cafe mailing list > [hidden email] > http://www.haskell.org/mailman/listinfo/haskell-cafe > > _______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
In reply to this post by John Ky
>From: John Ky <[hidden email]>
>Sent: Monday, May 30, 2011 8:01 AM > >Hi all, > >I'm trying to learn about enumerators by reading this paper and came across some code on page 2 that I found hard to digest, but I think I finally got it: Hi John. These programs should behave identically, and I think your version should be preferred. This first code uses some class methods like mconcat, but it seems to always be used on the list in Chunks, so it will only ever use the definition for list, which is equivalent to what you wrote directly in the second code. The result may not be useful, but to understand this more thoroughly you might try parametrizating the definition of Stream so the use of more general operators actually means something. Perhaps data Stream m a = Chunks (m a) | EOF I think you would want Monad and MonadPlus on m. >import Data.Monoid >> >> >>data Stream a >>= Chunks [a] >>| EOF >>deriving (Show, Eq) >> >> >>instance Monad Stream where >>return = Chunks . return >>Chunks xs >>= f = mconcat (fmap f xs) >>EOF >>= _ = EOF >> >> >>instance Monoid (Stream a) where >>mempty = Chunks mempty >>mappend (Chunks xs) (Chunks ys) = Chunks (xs ++ ys) >>mappend _ _ = EOF > > >I guess, it shows my lack of experience in Haskell, but my question is, why is writing the code this way preferred over say writing it like this: > > >import Data.Monoid >> >> >>data Stream a >>= Chunks [a] >>| EOF >>deriving (Show, Eq) >> >> >>instance Monad Stream where >>return x = Chunks [x] >>Chunks xs >>= f = mconcat (fmap f xs) >>EOF >>= _ = EOF >> >> >>instance Monoid (Stream a) where >>mempty = Chunks [] >>mappend (Chunks xs) (Chunks ys) = Chunks (xs ++ ys) >>mappend _ _ = EOF > > >Cheers, > > >-John > > >_______________________________________________ >Haskell-Cafe mailing list >[hidden email] >http://www.haskell.org/mailman/listinfo/haskell-cafe > > > _______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
In reply to this post by John Ky
On Mon, May 30, 2011 at 9:01 AM, John Ky <[hidden email]> wrote:
> instance Monoid (Stream a) where > mempty = Chunks mempty > mappend (Chunks xs) (Chunks ys) = Chunks (xs ++ ys) > mappend _ _ = EOF > > I guess, it shows my lack of experience in Haskell, but my question is, why > is writing the code this way preferred over say writing it like this: I don't care for the inconsistency in this example, using both mempty and (++). Your version is at least consistent, but I'd actually prefer to use mappend instead of (++) here, because it makes it clear that this isn't actually defining a "new" Monoid instance, just translating an existing instance for the constructor parameter to work for the surrounding data type. - C. _______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
I just tried to use the generic form with (Maybe a) and 'mconcat'
prevented this from working, so that needs to be considered too. On Mon, May 30, 2011 at 10:53 PM, Casey McCann <[hidden email]> wrote: > On Mon, May 30, 2011 at 9:01 AM, John Ky <[hidden email]> wrote: >> instance Monoid (Stream a) where >> mempty = Chunks mempty >> mappend (Chunks xs) (Chunks ys) = Chunks (xs ++ ys) >> mappend _ _ = EOF >> >> I guess, it shows my lack of experience in Haskell, but my question is, why >> is writing the code this way preferred over say writing it like this: > > I don't care for the inconsistency in this example, using both mempty > and (++). Your version is at least consistent, but I'd actually prefer > to use mappend instead of (++) here, because it makes it clear that > this isn't actually defining a "new" Monoid instance, just translating > an existing instance for the constructor parameter to work for the > surrounding data type. > > - C. > > _______________________________________________ > Haskell-Cafe mailing list > [hidden email] > http://www.haskell.org/mailman/listinfo/haskell-cafe > _______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
In reply to this post by Brandon Moore-2
Hi Brandon,
Thanks for your suggestion. I'm a little stuck as adding Monad and MonadPlus in my instance declaration doesn't seem sufficient. I know mconcat comes from Monoid, but I don't know how to put that in.
data Stream m a = Chunks (m a)
| EOF deriving (Show, Eq)
instance (Monad m, MonadPlus m) => Monoid (Stream m a) where
mempty = Chunks mempty mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys)
mappend _ _ = EOF instance (Monad m, MonadPlus m) => Monad (Stream m) where return = Chunks . return
Chunks xs >>= f = mconcat (fmap f xs) EOF >>= _ = EOF
Iteratee.hs:28:25: No instance for (Monoid (m a)) arising from a use of `mempty' Possible fix: add an instance declaration for (Monoid (m a)) In the first argument of `Chunks', namely `mempty'
In the expression: Chunks mempty In an equation for `mempty': mempty = Chunks mempty Iteratee.hs:29:54: No instance for (Monoid (m a)) arising from a use of `mappend'
Possible fix: add an instance declaration for (Monoid (m a)) In the first argument of `Chunks', namely `(xs `mappend` ys)' In the expression: Chunks (xs `mappend` ys)
In an equation for `mappend': mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys) Iteratee.hs:34:43: Could not deduce (m ~ []) from the context (Monad m, MonadPlus m)
bound by the instance declaration at Iteratee.hs:32:10-51 `m' is a rigid type variable bound by the instance declaration at Iteratee.hs:32:17 Expected type: [a]
Actual type: m a In the second argument of `fmap', namely `xs' In the first argument of `mconcat', namely `(fmap f xs)' In the expression: mconcat (fmap f xs)
Failed, modules loaded: none. Cheers, -John On 31 May 2011 00:38, Brandon Moore <[hidden email]> wrote: >From: John Ky <[hidden email]> _______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
sorry, `m a` as an instance of Monoid, not `m'
On Tue, May 31, 2011 at 9:30 AM, Canhua <[hidden email]> wrote: > I think you should declare `m' as an instance of Monoid, > rather than as instnaces of Monad and MonadPlus > > On Tue, May 31, 2011 at 8:33 AM, John Ky <[hidden email]> wrote: >> Hi Brandon, >> Thanks for your suggestion. I'm a little stuck as adding Monad and >> MonadPlus in my instance declaration doesn't seem sufficient. I know >> mconcat comes from Monoid, but I don't know how to put that in. >> data Stream m a >> = Chunks (m a) >> | EOF >> deriving (Show, Eq) >> instance (Monad m, MonadPlus m) => Monoid (Stream m a) where >> mempty = Chunks mempty >> mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys) >> mappend _ _ = EOF >> instance (Monad m, MonadPlus m) => Monad (Stream m) where >> return = Chunks . return >> Chunks xs >>= f = mconcat (fmap f xs) >> EOF >>= _ = EOF >> Iteratee.hs:28:25: >> No instance for (Monoid (m a)) >> arising from a use of `mempty' >> Possible fix: add an instance declaration for (Monoid (m a)) >> In the first argument of `Chunks', namely `mempty' >> In the expression: Chunks mempty >> In an equation for `mempty': mempty = Chunks mempty >> Iteratee.hs:29:54: >> No instance for (Monoid (m a)) >> arising from a use of `mappend' >> Possible fix: add an instance declaration for (Monoid (m a)) >> In the first argument of `Chunks', namely `(xs `mappend` ys)' >> In the expression: Chunks (xs `mappend` ys) >> In an equation for `mappend': >> mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys) >> Iteratee.hs:34:43: >> Could not deduce (m ~ []) >> from the context (Monad m, MonadPlus m) >> bound by the instance declaration at Iteratee.hs:32:10-51 >> `m' is a rigid type variable bound by >> the instance declaration at Iteratee.hs:32:17 >> Expected type: [a] >> Actual type: m a >> In the second argument of `fmap', namely `xs' >> In the first argument of `mconcat', namely `(fmap f xs)' >> In the expression: mconcat (fmap f xs) >> Failed, modules loaded: none. >> Cheers, >> -John >> On 31 May 2011 00:38, Brandon Moore <[hidden email]> wrote: >>> >>> >From: John Ky <[hidden email]> >>> >Sent: Monday, May 30, 2011 8:01 AM >>> > >>> >Hi all, >>> > >>> >I'm trying to learn about enumerators by reading this paper and came >>> > across some code on page 2 that I found hard to digest, but I think I >>> > finally got it: >>> >>> >>> Hi John. These programs should behave identically, and I think your >>> version should be preferred. >>> This first code uses some class methods like mconcat, but it seems to >>> always be used on >>> the list in Chunks, so it will only ever use the definition for list, >>> which is equivalent to what >>> you wrote directly in the second code. >>> >>> The result may not be useful, but to understand this more thoroughly you >>> might >>> try parametrizating the definition of Stream so the use of more general >>> operators >>> actually means something. Perhaps >>> >>> data Stream m a = >>> Chunks (m a) >>> | EOF >>> >>> I think you would want Monad and MonadPlus on m. >>> >>> >>> >import Data.Monoid >>> >> >>> >> >>> >>data Stream a >>> >>= Chunks [a] >>> >>| EOF >>> >>deriving (Show, Eq) >>> >> >>> >> >>> >>instance Monad Stream where >>> >>return = Chunks . return >>> >>Chunks xs >>= f = mconcat (fmap f xs) >>> >>EOF >>= _ = EOF >>> >> >>> >> >>> >>instance Monoid (Stream a) where >>> >>mempty = Chunks mempty >>> >>mappend (Chunks xs) (Chunks ys) = Chunks (xs ++ ys) >>> >>mappend _ _ = EOF >>> > >>> > >>> >I guess, it shows my lack of experience in Haskell, but my question is, >>> > why is writing the code this way preferred over say writing it like this: >>> > >>> > >>> >import Data.Monoid >>> >> >>> >> >>> >>data Stream a >>> >>= Chunks [a] >>> >>| EOF >>> >>deriving (Show, Eq) >>> >> >>> >> >>> >>instance Monad Stream where >>> >>return x = Chunks [x] >>> >>Chunks xs >>= f = mconcat (fmap f xs) >>> >>EOF >>= _ = EOF >>> >> >>> >> >>> >>instance Monoid (Stream a) where >>> >>mempty = Chunks [] >>> >>mappend (Chunks xs) (Chunks ys) = Chunks (xs ++ ys) >>> >>mappend _ _ = EOF >>> > >>> > >>> >Cheers, >>> > >>> > >>> >-John >>> > >>> > >>> >_______________________________________________ >>> >Haskell-Cafe mailing list >>> >[hidden email] >>> >http://www.haskell.org/mailman/listinfo/haskell-cafe >>> > >>> > >>> > >> >> >> _______________________________________________ >> Haskell-Cafe mailing list >> [hidden email] >> http://www.haskell.org/mailman/listinfo/haskell-cafe >> >> > _______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
In reply to this post by John Ky
instance (Monad m, MonadPlus m) => Monoid (Stream m a) where
There is a clue in the first part of the error message. Add the required instance as part of the predicate: instance (Monad m, MonadPlus m, Monoid (m a)) => Monoid (Stream m a) where ...
_______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
Thanks Malcom.
I suspected that much, so I added it: data Stream m a
= Chunks (m a) | EOF
deriving (Show, Eq) instance (Monad m, MonadPlus m, Monoid (m a)) => Monoid (Stream m a) where
mempty = Chunks mempty mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys)
mappend _ _ = EOF instance (Monad m, MonadPlus m) => Monad (Stream m) where return = Chunks . return
Chunks xs >>= f = mconcat (fmap f xs)
EOF >>= _ = EOF This gives me the error:
Iteratee.hs:30:10: Non type-variable argument in the constraint: Monoid (m a)
(Use -XFlexibleContexts to permit this) In the context: (Monad m, MonadPlus m, Monoid (m a))
While checking the context of an instance declaration In the instance declaration for `Monoid (Stream m a)'
So I run with the new flag: ghci -XFlexibleContexts Iteratee.hs Then I get the following error instead:
Iteratee.hs:37:43: Could not deduce (m ~ [])
from the context (Monad m, MonadPlus m) bound by the instance declaration at Iteratee.hs:35:10-51
`m' is a rigid type variable bound by the instance declaration at Iteratee.hs:35:17
Expected type: [a] Actual type: m a
In the second argument of `fmap', namely `xs' In the first argument of `mconcat', namely `(fmap f xs)'
In the expression: mconcat (fmap f xs) Which is complaining about the line I highlighted above. So I try:
data Stream m a = Chunks (m a)
| EOF deriving (Show, Eq)
instance (Monad m, MonadPlus m, Monoid (m a)) => Monoid (Stream m a) where
mempty = Chunks mempty mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys)
mappend _ _ = EOF instance (Monad m, MonadPlus m, Monoid (m a)) => Monad (Stream m) where
return = Chunks . return Chunks xs >>= f = mconcat (fmap f xs)
EOF >>= _ = EOF But the same trick doesn't work:
Iteratee.hs:35:10: Variable occurs more often in a constraint than in the instance head
in the constraint: Monoid (m a) (Use -XUndecidableInstances to permit this)
In the instance declaration for `Monad (Stream m)' Is that because I don't use a on the right hand side of =>?
Cheers, -John On 31 May 2011 15:54, Malcolm Wallace <[hidden email]> wrote:
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I think this is because mconcat expects a list.
On Tue, May 31, 2011 at 3:31 PM, John Ky <[hidden email]> wrote: > Thanks Malcom. > I suspected that much, so I added it: > data Stream m a > = Chunks (m a) > | EOF > deriving (Show, Eq) > instance (Monad m, MonadPlus m, Monoid (m a)) => Monoid (Stream m a) where > mempty = Chunks mempty > mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys) > mappend _ _ = EOF > instance (Monad m, MonadPlus m) => Monad (Stream m) where > return = Chunks . return > Chunks xs >>= f = mconcat (fmap f xs) > EOF >>= _ = EOF > This gives me the error: > Iteratee.hs:30:10: > Non type-variable argument in the constraint: Monoid (m a) > (Use -XFlexibleContexts to permit this) > In the context: (Monad m, MonadPlus m, Monoid (m a)) > While checking the context of an instance declaration > In the instance declaration for `Monoid (Stream m a)' > So I run with the new flag: > ghci -XFlexibleContexts Iteratee.hs > Then I get the following error instead: > Iteratee.hs:37:43: > Could not deduce (m ~ []) > from the context (Monad m, MonadPlus m) > bound by the instance declaration at Iteratee.hs:35:10-51 > `m' is a rigid type variable bound by > the instance declaration at Iteratee.hs:35:17 > Expected type: [a] > Actual type: m a > In the second argument of `fmap', namely `xs' > In the first argument of `mconcat', namely `(fmap f xs)' > In the expression: mconcat (fmap f xs) > Which is complaining about the line I highlighted above. So I try: > data Stream m a > = Chunks (m a) > | EOF > deriving (Show, Eq) > instance (Monad m, MonadPlus m, Monoid (m a)) => Monoid (Stream m a) where > mempty = Chunks mempty > mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys) > mappend _ _ = EOF > instance (Monad m, MonadPlus m, Monoid (m a)) => Monad (Stream m) where > return = Chunks . return > Chunks xs >>= f = mconcat (fmap f xs) > EOF >>= _ = EOF > But the same trick doesn't work: > Iteratee.hs:35:10: > Variable occurs more often in a constraint than in the instance head > in the constraint: Monoid (m a) > (Use -XUndecidableInstances to permit this) > In the instance declaration for `Monad (Stream m)' > Is that because I don't use a on the right hand side of =>? > Cheers, > -John > On 31 May 2011 15:54, Malcolm Wallace <[hidden email]> wrote: >> >> instance (Monad m, MonadPlus m) => Monoid (Stream m a) where >> >> mempty = Chunks mempty >> mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys) >> mappend _ _ = EOF >> >> Iteratee.hs:28:25: >> No instance for (Monoid (m a)) >> arising from a use of `mempty' >> >> There is a clue in the first part of the error message. Add the required >> instance as part of the predicate: >> instance (Monad m, MonadPlus m, Monoid (m a)) => Monoid (Stream m a) where >> ... > > _______________________________________________ > Haskell-Cafe mailing list > [hidden email] > http://www.haskell.org/mailman/listinfo/haskell-cafe > > _______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
Maybe you are looking for a more generic way to concatenate it:
There is fold :: (Foldable t, Monoid m) => t m -> m in Data.Foldable, but it would add another Foldable constraint. You search a function like: concatMPlus :: (MonadPlus m, Monoid a) => m a -> a but this cannot exist ;) ("m a -> m a" would, but not "m a -> a")
2011/5/31 Lyndon Maydwell <[hidden email]> I think this is because mconcat expects a list. _______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
Heh. Looks like there will be about five class constraints, but it
will still be more general. There must be some higher level abstraction that is less ugly. On Tue, May 31, 2011 at 3:45 PM, Yves Parès <[hidden email]> wrote: > Maybe you are looking for a more generic way to concatenate it: > There is fold :: (Foldable t, Monoid m) => t m -> m in Data.Foldable, but it > would add another Foldable constraint. > > You search a function like: > concatMPlus :: (MonadPlus m, Monoid a) => m a -> a > but this cannot exist ;) ("m a -> m a" would, but not "m a -> a") > > > 2011/5/31 Lyndon Maydwell <[hidden email]> >> >> I think this is because mconcat expects a list. >> >> On Tue, May 31, 2011 at 3:31 PM, John Ky <[hidden email]> wrote: >> > Thanks Malcom. >> > I suspected that much, so I added it: >> > data Stream m a >> > = Chunks (m a) >> > | EOF >> > deriving (Show, Eq) >> > instance (Monad m, MonadPlus m, Monoid (m a)) => Monoid (Stream m a) >> > where >> > mempty = Chunks mempty >> > mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys) >> > mappend _ _ = EOF >> > instance (Monad m, MonadPlus m) => Monad (Stream m) where >> > return = Chunks . return >> > Chunks xs >>= f = mconcat (fmap f xs) >> > EOF >>= _ = EOF >> > This gives me the error: >> > Iteratee.hs:30:10: >> > Non type-variable argument in the constraint: Monoid (m a) >> > (Use -XFlexibleContexts to permit this) >> > In the context: (Monad m, MonadPlus m, Monoid (m a)) >> > While checking the context of an instance declaration >> > In the instance declaration for `Monoid (Stream m a)' >> > So I run with the new flag: >> > ghci -XFlexibleContexts Iteratee.hs >> > Then I get the following error instead: >> > Iteratee.hs:37:43: >> > Could not deduce (m ~ []) >> > from the context (Monad m, MonadPlus m) >> > bound by the instance declaration at Iteratee.hs:35:10-51 >> > `m' is a rigid type variable bound by >> > the instance declaration at Iteratee.hs:35:17 >> > Expected type: [a] >> > Actual type: m a >> > In the second argument of `fmap', namely `xs' >> > In the first argument of `mconcat', namely `(fmap f xs)' >> > In the expression: mconcat (fmap f xs) >> > Which is complaining about the line I highlighted above. So I try: >> > data Stream m a >> > = Chunks (m a) >> > | EOF >> > deriving (Show, Eq) >> > instance (Monad m, MonadPlus m, Monoid (m a)) => Monoid (Stream m a) >> > where >> > mempty = Chunks mempty >> > mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys) >> > mappend _ _ = EOF >> > instance (Monad m, MonadPlus m, Monoid (m a)) => Monad (Stream m) where >> > return = Chunks . return >> > Chunks xs >>= f = mconcat (fmap f xs) >> > EOF >>= _ = EOF >> > But the same trick doesn't work: >> > Iteratee.hs:35:10: >> > Variable occurs more often in a constraint than in the instance head >> > in the constraint: Monoid (m a) >> > (Use -XUndecidableInstances to permit this) >> > In the instance declaration for `Monad (Stream m)' >> > Is that because I don't use a on the right hand side of =>? >> > Cheers, >> > -John >> > On 31 May 2011 15:54, Malcolm Wallace <[hidden email]> wrote: >> >> >> >> instance (Monad m, MonadPlus m) => Monoid (Stream m a) where >> >> >> >> mempty = Chunks mempty >> >> mappend (Chunks xs) (Chunks ys) = Chunks (xs `mappend` ys) >> >> mappend _ _ = EOF >> >> >> >> Iteratee.hs:28:25: >> >> No instance for (Monoid (m a)) >> >> arising from a use of `mempty' >> >> >> >> There is a clue in the first part of the error message. Add the >> >> required >> >> instance as part of the predicate: >> >> instance (Monad m, MonadPlus m, Monoid (m a)) => Monoid (Stream m a) >> >> where >> >> ... >> > >> > _______________________________________________ >> > Haskell-Cafe mailing list >> > [hidden email] >> > http://www.haskell.org/mailman/listinfo/haskell-cafe >> > >> > >> >> _______________________________________________ >> Haskell-Cafe mailing list >> [hidden email] >> http://www.haskell.org/mailman/listinfo/haskell-cafe > > _______________________________________________ Haskell-Cafe mailing list [hidden email] http://www.haskell.org/mailman/listinfo/haskell-cafe |
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