Comments (3)
This is a possible implementation (see commit).
instance (Alternative f, Monad w) => Monad (CofreeT f w) where
return = CofreeT . return . (:< empty)
{-# INLINE return #-}
(CofreeT cx) >>= f = CofreeT $ do
(a :< m) <- cx
(b :< n) <- runCofreeT $ f a
return $ b :< (n <|> fmap (>>= f) m)
instance (Alternative f, Applicative w) => Applicative (CofreeT f w) where
pure = CofreeT . pure . (:< empty)
{-# INLINE pure #-}
(CofreeT wf) <*> aa@(CofreeT wa) = CofreeT $
( \(f :< t) ->
\(a) ->
let (b :< n) = bimap f (fmap f) a in
b :< (n <|> fmap (<*> aa) t)) <$> wf <*> wa
Proofs of the relevant laws (not yet composition for Applicative
) can be found here:
Requiring Alternative is perhaps too strong. The proofs are also valid for Functor.Plus in the "semigroupoids" package. The instances still work if (<|>)
is replaced by (<!>)
and
empty
by zero
.
from free.
Can you swap that around into a pull request?
I'm happy to go with the Alternative
version for now, and if someone feels strongly, we can liberalize it later.
from free.
Merged. Closing.
from free.
Related Issues (20)
- Metadata revisions for 4.8 and 4.8.0.1 HOT 2
- free-5 doesn't build on old GHCs with transformers-0.4 HOT 3
- Fails with GHC-7.8.4 and installed transformers HOT 9
- Failure building free 5.0.2 with GHC 8.4.2 cross to iOS
- 'Ap' from 'Control.Applicative.Free' conflicts with 'Ap' in base-4.12
- ComonadTraced instance for CofreeT
- Add a MonadBaseControl instance for CofreeT HOT 6
- Simplify the applicative instance of Free HOT 2
- Deriving Via for several datatypes HOT 1
- Comonad f => MonadFree f (Tagged f) HOT 1
- Nu-based distributive cofree
- Add a class for free monad transformer-type things.
- Document 'Control.Monad.Free.Ap' has to work only on "commutative" monads
- Why does hoistFree have such a strict type? HOT 2
- deriving (Applicative, Monad) via GenericFreeMonad "Pure" (Free f)
- Support transformers-0.6 HOT 3
- Further simplify instances to avoid overkill *1 classes
- Dangling Links HOT 2
- `hoistFree` should be named `transFree`
- MonadAccum instance
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