module
Control.Arrow.Machine.ArrowUtil (
kleisli,
kleisli0,
kleisli2,
kleisli3,
kleisli4,
kleisli5,
reading,
AS,
toAS,
fromAS,
elimR
)
where
import Control.Arrow
import Control.Arrow.Operations (readState)
import Control.Arrow.Transformer.Reader
import Control.Monad.Reader (ReaderT, runReaderT)
#if __GLASGOW_HASKELL__ >= 708
type AS e = (e, ())
toAS :: e -> AS e
toAS e = (e, ())
fromAS :: AS e -> e
fromAS = fst
#else
type AS e = e
toAS :: e -> AS e
toAS = id
fromAS :: AS e -> e
fromAS = id
#endif
kleisli :: Monad m => (a->m b) -> Kleisli m a b
kleisli = Kleisli
kleisli0 :: Monad m => m b -> Kleisli m () b
kleisli0 = Kleisli . const
kleisli2 :: Monad m => (a1 -> a2 -> m b) -> Kleisli m (a1, a2) b
kleisli2 fmx = Kleisli $ \(x1, x2) -> fmx x1 x2
kleisli3 :: Monad m => (a1 -> a2 -> a3 -> m b) -> Kleisli m (a1, a2, a3) b
kleisli3 fmx = Kleisli $ \(x1, x2, x3) -> fmx x1 x2 x3
kleisli4 :: Monad m => (a1 -> a2 -> a3 -> a4 -> m b) -> Kleisli m (a1, a2, a3, a4) b
kleisli4 fmx = Kleisli $ \(x1, x2, x3, x4) -> fmx x1 x2 x3 x4
kleisli5 :: Monad m => (a1 -> a2 -> a3 -> a4 -> a5 -> m b) -> Kleisli m (a1, a2, a3, a4, a5) b
kleisli5 fmx = Kleisli $ \(x1, x2, x3, x4, x5) -> fmx x1 x2 x3 x4 x5
reading ::
(Monad m, Arrow a) =>
(forall p q. (p->m q)->a p q) ->
(b -> ReaderT r m c) -> ReaderArrow r a b c
reading f mr = proc x ->
do
r <- readState -< ()
liftReader (f $ \(x, r) -> runReaderT (mr x) r) -< (x, r)
elimR ::
ArrowAddReader r a a' =>
a (AS e) b -> a' (e, AS r) b
elimR f =
second (arr $ fromAS) >>> elimReader (arr toAS >>> f)