{-# LANGUAGE AllowAmbiguousTypes #-}
{-# LANGUAGE CPP #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE MonoLocalBinds #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE UndecidableInstances #-}
{-# OPTIONS_GHC -fno-warn-orphans #-}
{-# OPTIONS_HADDOCK not-home #-}
module Polysemy.Internal
( Sem (..)
, Member
, MemberWithError
, Members
, send
, sendUsing
, embed
, run
, runM
, raise_
, Raise (..)
, raise
, raiseUnder
, raiseUnder2
, raiseUnder3
, raise2Under
, raise3Under
, subsume_
, Subsume (..)
, subsume
, subsumeUsing
, Embed (..)
, usingSem
, liftSem
, hoistSem
, Append
, InterpreterFor
, InterpretersFor
, (.@)
, (.@@)
) where
import Control.Applicative
import Control.Monad
#if __GLASGOW_HASKELL__ < 808
import Control.Monad.Fail
#endif
import Control.Monad.Fix
import Control.Monad.IO.Class
import Data.Functor.Identity
import Data.Kind
import Polysemy.Embed.Type
import Polysemy.Fail.Type
import Polysemy.Internal.Fixpoint
import Polysemy.Internal.Kind
import Polysemy.Internal.NonDet
import Polysemy.Internal.PluginLookup
import Polysemy.Internal.Union
newtype Sem r a = Sem
{ Sem r a
-> forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
runSem
:: ∀ m
. Monad m
=> (∀ x. Union r (Sem r) x -> m x)
-> m a
}
instance PluginLookup Plugin
type family Members es r :: Constraint where
Members '[] r = ()
Members (e ': es) r = (Member e r, Members es r)
usingSem
:: Monad m
=> (∀ x. Union r (Sem r) x -> m x)
-> Sem r a
-> m a
usingSem :: (forall x. Union r (Sem r) x -> m x) -> Sem r a -> m a
usingSem forall x. Union r (Sem r) x -> m x
k Sem r a
m = Sem r a -> (forall x. Union r (Sem r) x -> m x) -> m a
forall (r :: EffectRow) a.
Sem r a
-> forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
runSem Sem r a
m forall x. Union r (Sem r) x -> m x
k
{-# INLINE usingSem #-}
instance Functor (Sem f) where
fmap :: (a -> b) -> Sem f a -> Sem f b
fmap a -> b
f (Sem forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a
m) = (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b
forall (r :: EffectRow) a.
(forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
Sem ((forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b)
-> (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b
forall a b. (a -> b) -> a -> b
$ \forall x. Union f (Sem f) x -> m x
k -> a -> b
f (a -> b) -> m a -> m b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> (forall x. Union f (Sem f) x -> m x) -> m a
forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a
m forall x. Union f (Sem f) x -> m x
k
{-# INLINE fmap #-}
instance Applicative (Sem f) where
pure :: a -> Sem f a
pure a
a = (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a)
-> Sem f a
forall (r :: EffectRow) a.
(forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
Sem ((forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a)
-> Sem f a)
-> (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a)
-> Sem f a
forall a b. (a -> b) -> a -> b
$ m a -> (Union f (Sem f) Any -> m Any) -> m a
forall a b. a -> b -> a
const (m a -> (Union f (Sem f) Any -> m Any) -> m a)
-> m a -> (Union f (Sem f) Any -> m Any) -> m a
forall a b. (a -> b) -> a -> b
$ a -> m a
forall (f :: * -> *) a. Applicative f => a -> f a
pure a
a
{-# INLINE pure #-}
Sem forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m (a -> b)
f <*> :: Sem f (a -> b) -> Sem f a -> Sem f b
<*> Sem forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a
a = (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b
forall (r :: EffectRow) a.
(forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
Sem ((forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b)
-> (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b
forall a b. (a -> b) -> a -> b
$ \forall x. Union f (Sem f) x -> m x
k -> (forall x. Union f (Sem f) x -> m x) -> m (a -> b)
forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m (a -> b)
f forall x. Union f (Sem f) x -> m x
k m (a -> b) -> m a -> m b
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> (forall x. Union f (Sem f) x -> m x) -> m a
forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a
a forall x. Union f (Sem f) x -> m x
k
{-# INLINE (<*>) #-}
liftA2 :: (a -> b -> c) -> Sem f a -> Sem f b -> Sem f c
liftA2 a -> b -> c
f Sem f a
ma Sem f b
mb = (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m c)
-> Sem f c
forall (r :: EffectRow) a.
(forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
Sem ((forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m c)
-> Sem f c)
-> (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m c)
-> Sem f c
forall a b. (a -> b) -> a -> b
$ \forall x. Union f (Sem f) x -> m x
k -> (a -> b -> c) -> m a -> m b -> m c
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 a -> b -> c
f (Sem f a -> (forall x. Union f (Sem f) x -> m x) -> m a
forall (r :: EffectRow) a.
Sem r a
-> forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
runSem Sem f a
ma forall x. Union f (Sem f) x -> m x
k) (Sem f b -> (forall x. Union f (Sem f) x -> m x) -> m b
forall (r :: EffectRow) a.
Sem r a
-> forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
runSem Sem f b
mb forall x. Union f (Sem f) x -> m x
k)
{-# INLINE liftA2 #-}
Sem f a
ma <* :: Sem f a -> Sem f b -> Sem f a
<* Sem f b
mb = (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a)
-> Sem f a
forall (r :: EffectRow) a.
(forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
Sem ((forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a)
-> Sem f a)
-> (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a)
-> Sem f a
forall a b. (a -> b) -> a -> b
$ \forall x. Union f (Sem f) x -> m x
k -> Sem f a -> (forall x. Union f (Sem f) x -> m x) -> m a
forall (r :: EffectRow) a.
Sem r a
-> forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
runSem Sem f a
ma forall x. Union f (Sem f) x -> m x
k m a -> m b -> m a
forall (f :: * -> *) a b. Applicative f => f a -> f b -> f a
<* Sem f b -> (forall x. Union f (Sem f) x -> m x) -> m b
forall (r :: EffectRow) a.
Sem r a
-> forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
runSem Sem f b
mb forall x. Union f (Sem f) x -> m x
k
{-# INLINE (<*) #-}
Sem f a
ma *> :: Sem f a -> Sem f b -> Sem f b
*> Sem f b
mb = (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b
forall (r :: EffectRow) a.
(forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
Sem ((forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b)
-> (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b
forall a b. (a -> b) -> a -> b
$ \forall x. Union f (Sem f) x -> m x
k -> Sem f a -> (forall x. Union f (Sem f) x -> m x) -> m a
forall (r :: EffectRow) a.
Sem r a
-> forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
runSem Sem f a
ma forall x. Union f (Sem f) x -> m x
k m a -> (a -> m b) -> m b
forall (m :: * -> *) a b. Monad m => m a -> (a -> m b) -> m b
>>= \a
_ -> Sem f b -> (forall x. Union f (Sem f) x -> m x) -> m b
forall (r :: EffectRow) a.
Sem r a
-> forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
runSem Sem f b
mb forall x. Union f (Sem f) x -> m x
k
{-# INLINE (*>) #-}
instance Monad (Sem f) where
Sem forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a
ma >>= :: Sem f a -> (a -> Sem f b) -> Sem f b
>>= a -> Sem f b
f = (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b
forall (r :: EffectRow) a.
(forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
Sem ((forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b)
-> (forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m b)
-> Sem f b
forall a b. (a -> b) -> a -> b
$ \forall x. Union f (Sem f) x -> m x
k -> do
a
z <- (forall x. Union f (Sem f) x -> m x) -> m a
forall (m :: * -> *).
Monad m =>
(forall x. Union f (Sem f) x -> m x) -> m a
ma forall x. Union f (Sem f) x -> m x
k
Sem f b -> (forall x. Union f (Sem f) x -> m x) -> m b
forall (r :: EffectRow) a.
Sem r a
-> forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
runSem (a -> Sem f b
f a
z) forall x. Union f (Sem f) x -> m x
k
{-# INLINE (>>=) #-}
instance (Member NonDet r) => Alternative (Sem r) where
empty :: Sem r a
empty = NonDet (Sem r) a -> Sem r a
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) a.
Member e r =>
e (Sem r) a -> Sem r a
send NonDet (Sem r) a
forall (m :: * -> *) a. NonDet m a
Empty
{-# INLINE empty #-}
Sem r a
a <|> :: Sem r a -> Sem r a -> Sem r a
<|> Sem r a
b = NonDet (Sem r) a -> Sem r a
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) a.
Member e r =>
e (Sem r) a -> Sem r a
send (Sem r a -> Sem r a -> NonDet (Sem r) a
forall (m :: * -> *) a. m a -> m a -> NonDet m a
Choose Sem r a
a Sem r a
b)
{-# INLINE (<|>) #-}
instance (Member NonDet r) => MonadPlus (Sem r) where
mzero :: Sem r a
mzero = Sem r a
forall (f :: * -> *) a. Alternative f => f a
empty
mplus :: Sem r a -> Sem r a -> Sem r a
mplus = Sem r a -> Sem r a -> Sem r a
forall (f :: * -> *) a. Alternative f => f a -> f a -> f a
(<|>)
instance (Member Fail r) => MonadFail (Sem r) where
fail :: String -> Sem r a
fail = Fail (Sem r) a -> Sem r a
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) a.
Member e r =>
e (Sem r) a -> Sem r a
send (Fail (Sem r) a -> Sem r a)
-> (String -> Fail (Sem r) a) -> String -> Sem r a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. String -> Fail (Sem r) a
forall k k (m :: k) (a :: k). String -> Fail m a
Fail
{-# INLINE fail #-}
instance Member (Embed IO) r => MonadIO (Sem r) where
liftIO :: IO a -> Sem r a
liftIO = IO a -> Sem r a
forall (m :: * -> *) (r :: EffectRow) a.
Member (Embed m) r =>
m a -> Sem r a
embed
{-# INLINE liftIO #-}
instance Member Fixpoint r => MonadFix (Sem r) where
mfix :: (a -> Sem r a) -> Sem r a
mfix a -> Sem r a
f = Fixpoint (Sem r) a -> Sem r a
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) a.
Member e r =>
e (Sem r) a -> Sem r a
send (Fixpoint (Sem r) a -> Sem r a) -> Fixpoint (Sem r) a -> Sem r a
forall a b. (a -> b) -> a -> b
$ (a -> Sem r a) -> Fixpoint (Sem r) a
forall a (m :: * -> *). (a -> m a) -> Fixpoint m a
Fixpoint a -> Sem r a
f
{-# INLINE mfix #-}
liftSem :: Union r (Sem r) a -> Sem r a
liftSem :: Union r (Sem r) a -> Sem r a
liftSem Union r (Sem r) a
u = (forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
forall (r :: EffectRow) a.
(forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
Sem ((forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a)
-> (forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
forall a b. (a -> b) -> a -> b
$ \forall x. Union r (Sem r) x -> m x
k -> Union r (Sem r) a -> m a
forall x. Union r (Sem r) x -> m x
k Union r (Sem r) a
u
{-# INLINE liftSem #-}
hoistSem
:: (∀ x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a
-> Sem r' a
hoistSem :: (forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a -> Sem r' a
hoistSem forall x. Union r (Sem r) x -> Union r' (Sem r') x
nat (Sem forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
m) = (forall (m :: * -> *).
Monad m =>
(forall x. Union r' (Sem r') x -> m x) -> m a)
-> Sem r' a
forall (r :: EffectRow) a.
(forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a)
-> Sem r a
Sem ((forall (m :: * -> *).
Monad m =>
(forall x. Union r' (Sem r') x -> m x) -> m a)
-> Sem r' a)
-> (forall (m :: * -> *).
Monad m =>
(forall x. Union r' (Sem r') x -> m x) -> m a)
-> Sem r' a
forall a b. (a -> b) -> a -> b
$ \forall x. Union r' (Sem r') x -> m x
k -> (forall x. Union r (Sem r) x -> m x) -> m a
forall (m :: * -> *).
Monad m =>
(forall x. Union r (Sem r) x -> m x) -> m a
m ((forall x. Union r (Sem r) x -> m x) -> m a)
-> (forall x. Union r (Sem r) x -> m x) -> m a
forall a b. (a -> b) -> a -> b
$ \Union r (Sem r) x
u -> Union r' (Sem r') x -> m x
forall x. Union r' (Sem r') x -> m x
k (Union r' (Sem r') x -> m x) -> Union r' (Sem r') x -> m x
forall a b. (a -> b) -> a -> b
$ Union r (Sem r) x -> Union r' (Sem r') x
forall x. Union r (Sem r) x -> Union r' (Sem r') x
nat Union r (Sem r) x
u
{-# INLINE hoistSem #-}
raise_ :: ∀ r r' a. Raise r r' => Sem r a -> Sem r' a
raise_ :: Sem r a -> Sem r' a
raise_ = (forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a -> Sem r' a
forall (r :: EffectRow) (r' :: EffectRow) a.
(forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a -> Sem r' a
hoistSem ((forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a -> Sem r' a)
-> (forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a
-> Sem r' a
forall a b. (a -> b) -> a -> b
$ (forall x. Sem r x -> Sem r' x)
-> Union r' (Sem r) x -> Union r' (Sem r') x
forall (m :: * -> *) (n :: * -> *) (r :: EffectRow) a.
(forall x. m x -> n x) -> Union r m a -> Union r n a
hoist forall (r :: EffectRow) (r' :: EffectRow) a.
Raise r r' =>
Sem r a -> Sem r' a
forall x. Sem r x -> Sem r' x
raise_ (Union r' (Sem r) x -> Union r' (Sem r') x)
-> (Union r (Sem r) x -> Union r' (Sem r) x)
-> Union r (Sem r) x
-> Union r' (Sem r') x
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Union r (Sem r) x -> Union r' (Sem r) x
forall (r :: EffectRow) (r' :: EffectRow) (m :: * -> *) a.
Raise r r' =>
Union r m a -> Union r' m a
raiseUnion
{-# INLINE raise_ #-}
class Raise (r :: EffectRow) (r' :: EffectRow) where
raiseUnion :: Union r m a -> Union r' m a
instance {-# overlapping #-} Raise r r where
raiseUnion :: Union r m a -> Union r m a
raiseUnion = Union r m a -> Union r m a
forall a. a -> a
id
{-# INLINE raiseUnion #-}
instance (r' ~ (_0 ': r''), Raise r r'') => Raise r r' where
raiseUnion :: Union r m a -> Union r' m a
raiseUnion = (\(Union ElemOf e r''
n Weaving e m a
w) -> ElemOf e (_0 : r'') -> Weaving e m a -> Union (_0 : r'') m a
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
ElemOf e r -> Weaving e m a -> Union r m a
Union (ElemOf e r'' -> ElemOf e (_0 : r'')
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There ElemOf e r''
n) Weaving e m a
w) (Union r'' m a -> Union r' m a)
-> (Union r m a -> Union r'' m a) -> Union r m a -> Union r' m a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Union r m a -> Union r'' m a
forall (r :: EffectRow) (r' :: EffectRow) (m :: * -> *) a.
Raise r r' =>
Union r m a -> Union r' m a
raiseUnion
{-# INLINE raiseUnion #-}
raise :: ∀ e r a. Sem r a -> Sem (e ': r) a
raise :: Sem r a -> Sem (e : r) a
raise = Sem r a -> Sem (e : r) a
forall (r :: EffectRow) (r' :: EffectRow) a.
Raise r r' =>
Sem r a -> Sem r' a
raise_
{-# INLINE raise #-}
raiseUnder :: ∀ e2 e1 r a. Sem (e1 ': r) a -> Sem (e1 ': e2 ': r) a
raiseUnder :: Sem (e1 : r) a -> Sem (e1 : e2 : r) a
raiseUnder = Sem (e1 : r) a -> Sem (e1 : e2 : r) a
forall (r :: EffectRow) (r' :: EffectRow) a.
Subsume r r' =>
Sem r a -> Sem r' a
subsume_
{-# INLINE raiseUnder #-}
raiseUnder2 :: ∀ e2 e3 e1 r a. Sem (e1 ': r) a -> Sem (e1 ': e2 ': e3 ': r) a
raiseUnder2 :: Sem (e1 : r) a -> Sem (e1 : e2 : e3 : r) a
raiseUnder2 = Sem (e1 : r) a -> Sem (e1 : e2 : e3 : r) a
forall (r :: EffectRow) (r' :: EffectRow) a.
Subsume r r' =>
Sem r a -> Sem r' a
subsume_
{-# INLINE raiseUnder2 #-}
raiseUnder3 :: ∀ e2 e3 e4 e1 r a. Sem (e1 ': r) a -> Sem (e1 ': e2 ': e3 ': e4 ': r) a
raiseUnder3 :: Sem (e1 : r) a -> Sem (e1 : e2 : e3 : e4 : r) a
raiseUnder3 = Sem (e1 : r) a -> Sem (e1 : e2 : e3 : e4 : r) a
forall (r :: EffectRow) (r' :: EffectRow) a.
Subsume r r' =>
Sem r a -> Sem r' a
subsume_
{-# INLINE raiseUnder3 #-}
raise2Under :: ∀ e3 e1 e2 r a. Sem (e1 : e2 : r) a -> Sem (e1 : e2 : e3 : r) a
raise2Under :: Sem (e1 : e2 : r) a -> Sem (e1 : e2 : e3 : r) a
raise2Under = (forall x.
Union (e1 : e2 : r) (Sem (e1 : e2 : r)) x
-> Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x)
-> Sem (e1 : e2 : r) a -> Sem (e1 : e2 : e3 : r) a
forall (r :: EffectRow) (r' :: EffectRow) a.
(forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a -> Sem r' a
hoistSem ((forall x.
Union (e1 : e2 : r) (Sem (e1 : e2 : r)) x
-> Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x)
-> Sem (e1 : e2 : r) a -> Sem (e1 : e2 : e3 : r) a)
-> (forall x.
Union (e1 : e2 : r) (Sem (e1 : e2 : r)) x
-> Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x)
-> Sem (e1 : e2 : r) a
-> Sem (e1 : e2 : e3 : r) a
forall a b. (a -> b) -> a -> b
$ (forall x. Sem (e1 : e2 : r) x -> Sem (e1 : e2 : e3 : r) x)
-> Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : r)) x
-> Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x
forall (m :: * -> *) (n :: * -> *) (r :: EffectRow) a.
(forall x. m x -> n x) -> Union r m a -> Union r n a
hoist forall x. Sem (e1 : e2 : r) x -> Sem (e1 : e2 : e3 : r) x
forall (e3 :: (* -> *) -> * -> *) (e1 :: (* -> *) -> * -> *)
(e2 :: (* -> *) -> * -> *) (r :: EffectRow) a.
Sem (e1 : e2 : r) a -> Sem (e1 : e2 : e3 : r) a
raise2Under (Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : r)) x
-> Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x)
-> (Union (e1 : e2 : r) (Sem (e1 : e2 : r)) x
-> Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : r)) x)
-> Union (e1 : e2 : r) (Sem (e1 : e2 : r)) x
-> Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Union (e1 : e2 : r) (Sem (e1 : e2 : r)) x
-> Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : r)) x
forall (m :: * -> *) x.
Union (e1 : e2 : r) m x -> Union (e1 : e2 : e3 : r) m x
weaken2Under
where
weaken2Under :: ∀ m x. Union (e1 : e2 : r) m x -> Union (e1 : e2 : e3 : r) m x
weaken2Under :: Union (e1 : e2 : r) m x -> Union (e1 : e2 : e3 : r) m x
weaken2Under (Union ElemOf e (e1 : e2 : r)
Here Weaving e m x
a) = ElemOf e (e : e2 : e3 : r)
-> Weaving e m x -> Union (e : e2 : e3 : r) m x
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
ElemOf e r -> Weaving e m a -> Union r m a
Union ElemOf e (e : e2 : e3 : r)
forall a (e :: a) (r :: [a]). ElemOf e (e : r)
Here Weaving e m x
a
weaken2Under (Union (There ElemOf e r
Here) Weaving e m x
a) = ElemOf e (e1 : e : e3 : r)
-> Weaving e m x -> Union (e1 : e : e3 : r) m x
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
ElemOf e r -> Weaving e m a -> Union r m a
Union (ElemOf e (e : e3 : r) -> ElemOf e (e1 : e : e3 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There ElemOf e (e : e3 : r)
forall a (e :: a) (r :: [a]). ElemOf e (e : r)
Here) Weaving e m x
a
weaken2Under (Union (There (There ElemOf e r
n)) Weaving e m x
a) = ElemOf e (e1 : e2 : e3 : r)
-> Weaving e m x -> Union (e1 : e2 : e3 : r) m x
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
ElemOf e r -> Weaving e m a -> Union r m a
Union (ElemOf e (e2 : e3 : r) -> ElemOf e (e1 : e2 : e3 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There (ElemOf e (e3 : r) -> ElemOf e (e2 : e3 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There (ElemOf e r -> ElemOf e (e3 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There ElemOf e r
n))) Weaving e m x
a
{-# INLINE weaken2Under #-}
{-# INLINE raise2Under #-}
raise3Under :: ∀ e4 e1 e2 e3 r a. Sem (e1 : e2 : e3 : r) a -> Sem (e1 : e2 : e3 : e4 : r) a
raise3Under :: Sem (e1 : e2 : e3 : r) a -> Sem (e1 : e2 : e3 : e4 : r) a
raise3Under = (forall x.
Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x
-> Union (e1 : e2 : e3 : e4 : r) (Sem (e1 : e2 : e3 : e4 : r)) x)
-> Sem (e1 : e2 : e3 : r) a -> Sem (e1 : e2 : e3 : e4 : r) a
forall (r :: EffectRow) (r' :: EffectRow) a.
(forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a -> Sem r' a
hoistSem ((forall x.
Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x
-> Union (e1 : e2 : e3 : e4 : r) (Sem (e1 : e2 : e3 : e4 : r)) x)
-> Sem (e1 : e2 : e3 : r) a -> Sem (e1 : e2 : e3 : e4 : r) a)
-> (forall x.
Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x
-> Union (e1 : e2 : e3 : e4 : r) (Sem (e1 : e2 : e3 : e4 : r)) x)
-> Sem (e1 : e2 : e3 : r) a
-> Sem (e1 : e2 : e3 : e4 : r) a
forall a b. (a -> b) -> a -> b
$ (forall x.
Sem (e1 : e2 : e3 : r) x -> Sem (e1 : e2 : e3 : e4 : r) x)
-> Union (e1 : e2 : e3 : e4 : r) (Sem (e1 : e2 : e3 : r)) x
-> Union (e1 : e2 : e3 : e4 : r) (Sem (e1 : e2 : e3 : e4 : r)) x
forall (m :: * -> *) (n :: * -> *) (r :: EffectRow) a.
(forall x. m x -> n x) -> Union r m a -> Union r n a
hoist forall x. Sem (e1 : e2 : e3 : r) x -> Sem (e1 : e2 : e3 : e4 : r) x
forall (e4 :: (* -> *) -> * -> *) (e1 :: (* -> *) -> * -> *)
(e2 :: (* -> *) -> * -> *) (e3 :: (* -> *) -> * -> *)
(r :: EffectRow) a.
Sem (e1 : e2 : e3 : r) a -> Sem (e1 : e2 : e3 : e4 : r) a
raise3Under (Union (e1 : e2 : e3 : e4 : r) (Sem (e1 : e2 : e3 : r)) x
-> Union (e1 : e2 : e3 : e4 : r) (Sem (e1 : e2 : e3 : e4 : r)) x)
-> (Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x
-> Union (e1 : e2 : e3 : e4 : r) (Sem (e1 : e2 : e3 : r)) x)
-> Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x
-> Union (e1 : e2 : e3 : e4 : r) (Sem (e1 : e2 : e3 : e4 : r)) x
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Union (e1 : e2 : e3 : r) (Sem (e1 : e2 : e3 : r)) x
-> Union (e1 : e2 : e3 : e4 : r) (Sem (e1 : e2 : e3 : r)) x
forall (m :: * -> *) x.
Union (e1 : e2 : e3 : r) m x -> Union (e1 : e2 : e3 : e4 : r) m x
weaken3Under
where
weaken3Under :: ∀ m x. Union (e1 : e2 : e3 : r) m x -> Union (e1 : e2 : e3 : e4 : r) m x
weaken3Under :: Union (e1 : e2 : e3 : r) m x -> Union (e1 : e2 : e3 : e4 : r) m x
weaken3Under (Union ElemOf e (e1 : e2 : e3 : r)
Here Weaving e m x
a) = ElemOf e (e : e2 : e3 : e4 : r)
-> Weaving e m x -> Union (e : e2 : e3 : e4 : r) m x
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
ElemOf e r -> Weaving e m a -> Union r m a
Union ElemOf e (e : e2 : e3 : e4 : r)
forall a (e :: a) (r :: [a]). ElemOf e (e : r)
Here Weaving e m x
a
weaken3Under (Union (There ElemOf e r
Here) Weaving e m x
a) = ElemOf e (e1 : e : e3 : e4 : r)
-> Weaving e m x -> Union (e1 : e : e3 : e4 : r) m x
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
ElemOf e r -> Weaving e m a -> Union r m a
Union (ElemOf e (e : e3 : e4 : r) -> ElemOf e (e1 : e : e3 : e4 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There ElemOf e (e : e3 : e4 : r)
forall a (e :: a) (r :: [a]). ElemOf e (e : r)
Here) Weaving e m x
a
weaken3Under (Union (There (There ElemOf e r
Here)) Weaving e m x
a) = ElemOf e (e1 : e2 : e : e4 : r)
-> Weaving e m x -> Union (e1 : e2 : e : e4 : r) m x
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
ElemOf e r -> Weaving e m a -> Union r m a
Union (ElemOf e (e2 : e : e4 : r) -> ElemOf e (e1 : e2 : e : e4 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There (ElemOf e (e : e4 : r) -> ElemOf e (e2 : e : e4 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There ElemOf e (e : e4 : r)
forall a (e :: a) (r :: [a]). ElemOf e (e : r)
Here)) Weaving e m x
a
weaken3Under (Union (There (There (There ElemOf e r
n))) Weaving e m x
a) = ElemOf e (e1 : e2 : e3 : e4 : r)
-> Weaving e m x -> Union (e1 : e2 : e3 : e4 : r) m x
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
ElemOf e r -> Weaving e m a -> Union r m a
Union (ElemOf e (e2 : e3 : e4 : r) -> ElemOf e (e1 : e2 : e3 : e4 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There (ElemOf e (e3 : e4 : r) -> ElemOf e (e2 : e3 : e4 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There (ElemOf e (e4 : r) -> ElemOf e (e3 : e4 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There (ElemOf e r -> ElemOf e (e4 : r)
forall a (e :: a) (r :: [a]) (e' :: a).
ElemOf e r -> ElemOf e (e' : r)
There ElemOf e r
n)))) Weaving e m x
a
{-# INLINE weaken3Under #-}
{-# INLINE raise3Under #-}
subsume_ :: ∀ r r' a. Subsume r r' => Sem r a -> Sem r' a
subsume_ :: Sem r a -> Sem r' a
subsume_ = (forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a -> Sem r' a
forall (r :: EffectRow) (r' :: EffectRow) a.
(forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a -> Sem r' a
hoistSem ((forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a -> Sem r' a)
-> (forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a
-> Sem r' a
forall a b. (a -> b) -> a -> b
$ (forall x. Sem r x -> Sem r' x)
-> Union r' (Sem r) x -> Union r' (Sem r') x
forall (m :: * -> *) (n :: * -> *) (r :: EffectRow) a.
(forall x. m x -> n x) -> Union r m a -> Union r n a
hoist forall (r :: EffectRow) (r' :: EffectRow) a.
Subsume r r' =>
Sem r a -> Sem r' a
forall x. Sem r x -> Sem r' x
subsume_ (Union r' (Sem r) x -> Union r' (Sem r') x)
-> (Union r (Sem r) x -> Union r' (Sem r) x)
-> Union r (Sem r) x
-> Union r' (Sem r') x
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Union r (Sem r) x -> Union r' (Sem r) x
forall (r :: EffectRow) (r' :: EffectRow) (m :: * -> *) a.
Subsume r r' =>
Union r m a -> Union r' m a
subsumeUnion
{-# INLINE subsume_ #-}
class Subsume (r :: EffectRow) (r' :: EffectRow) where
subsumeUnion :: Union r m a -> Union r' m a
instance {-# incoherent #-} Raise r r' => Subsume r r' where
subsumeUnion :: Union r m a -> Union r' m a
subsumeUnion = Union r m a -> Union r' m a
forall (r :: EffectRow) (r' :: EffectRow) (m :: * -> *) a.
Raise r r' =>
Union r m a -> Union r' m a
raiseUnion
{-# INLINE subsumeUnion #-}
instance (Member e r', Subsume r r') => Subsume (e ': r) r' where
subsumeUnion :: Union (e : r) m a -> Union r' m a
subsumeUnion = (Union r m a -> Union r' m a)
-> (Weaving e m a -> Union r' m a)
-> Either (Union r m a) (Weaving e m a)
-> Union r' m a
forall a c b. (a -> c) -> (b -> c) -> Either a b -> c
either Union r m a -> Union r' m a
forall (r :: EffectRow) (r' :: EffectRow) (m :: * -> *) a.
Subsume r r' =>
Union r m a -> Union r' m a
subsumeUnion Weaving e m a -> Union r' m a
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
Member e r =>
Weaving e m a -> Union r m a
injWeaving (Either (Union r m a) (Weaving e m a) -> Union r' m a)
-> (Union (e : r) m a -> Either (Union r m a) (Weaving e m a))
-> Union (e : r) m a
-> Union r' m a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Union (e : r) m a -> Either (Union r m a) (Weaving e m a)
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
Union (e : r) m a -> Either (Union r m a) (Weaving e m a)
decomp
{-# INLINE subsumeUnion #-}
instance Subsume '[] r where
subsumeUnion :: Union '[] m a -> Union r m a
subsumeUnion = Union '[] m a -> Union r m a
forall (m :: * -> *) a b. Union '[] m a -> b
absurdU
{-# INLINE subsumeUnion #-}
subsume :: ∀ e r a. Member e r => Sem (e ': r) a -> Sem r a
subsume :: Sem (e : r) a -> Sem r a
subsume = Sem (e : r) a -> Sem r a
forall (r :: EffectRow) (r' :: EffectRow) a.
Subsume r r' =>
Sem r a -> Sem r' a
subsume_
{-# INLINE subsume #-}
subsumeUsing :: ∀ e r a. ElemOf e r -> Sem (e ': r) a -> Sem r a
subsumeUsing :: ElemOf e r -> Sem (e : r) a -> Sem r a
subsumeUsing ElemOf e r
pr =
let
go :: ∀ x. Sem (e ': r) x -> Sem r x
go :: Sem (e : r) x -> Sem r x
go = (forall x. Union (e : r) (Sem (e : r)) x -> Union r (Sem r) x)
-> Sem (e : r) x -> Sem r x
forall (r :: EffectRow) (r' :: EffectRow) a.
(forall x. Union r (Sem r) x -> Union r' (Sem r') x)
-> Sem r a -> Sem r' a
hoistSem ((forall x. Union (e : r) (Sem (e : r)) x -> Union r (Sem r) x)
-> Sem (e : r) x -> Sem r x)
-> (forall x. Union (e : r) (Sem (e : r)) x -> Union r (Sem r) x)
-> Sem (e : r) x
-> Sem r x
forall a b. (a -> b) -> a -> b
$ \Union (e : r) (Sem (e : r)) x
u -> (forall x. Sem (e : r) x -> Sem r x)
-> Union r (Sem (e : r)) x -> Union r (Sem r) x
forall (m :: * -> *) (n :: * -> *) (r :: EffectRow) a.
(forall x. m x -> n x) -> Union r m a -> Union r n a
hoist forall x. Sem (e : r) x -> Sem r x
go (Union r (Sem (e : r)) x -> Union r (Sem r) x)
-> Union r (Sem (e : r)) x -> Union r (Sem r) x
forall a b. (a -> b) -> a -> b
$ case Union (e : r) (Sem (e : r)) x
-> Either (Union r (Sem (e : r)) x) (Weaving e (Sem (e : r)) x)
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
Union (e : r) m a -> Either (Union r m a) (Weaving e m a)
decomp Union (e : r) (Sem (e : r)) x
u of
Right Weaving e (Sem (e : r)) x
w -> ElemOf e r -> Weaving e (Sem (e : r)) x -> Union r (Sem (e : r)) x
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) (m :: * -> *) a.
ElemOf e r -> Weaving e m a -> Union r m a
Union ElemOf e r
pr Weaving e (Sem (e : r)) x
w
Left Union r (Sem (e : r)) x
g -> Union r (Sem (e : r)) x
g
{-# INLINE go #-}
in
Sem (e : r) a -> Sem r a
forall x. Sem (e : r) x -> Sem r x
go
{-# INLINE subsumeUsing #-}
send :: Member e r => e (Sem r) a -> Sem r a
send :: e (Sem r) a -> Sem r a
send = Union r (Sem r) a -> Sem r a
forall (r :: EffectRow) a. Union r (Sem r) a -> Sem r a
liftSem (Union r (Sem r) a -> Sem r a)
-> (e (Sem r) a -> Union r (Sem r) a) -> e (Sem r) a -> Sem r a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. e (Sem r) a -> Union r (Sem r) a
forall (e :: (* -> *) -> * -> *) (r :: EffectRow)
(rInitial :: EffectRow) a.
Member e r =>
e (Sem rInitial) a -> Union r (Sem rInitial) a
inj
{-# INLINE[3] send #-}
sendUsing :: ElemOf e r -> e (Sem r) a -> Sem r a
sendUsing :: ElemOf e r -> e (Sem r) a -> Sem r a
sendUsing ElemOf e r
pr = Union r (Sem r) a -> Sem r a
forall (r :: EffectRow) a. Union r (Sem r) a -> Sem r a
liftSem (Union r (Sem r) a -> Sem r a)
-> (e (Sem r) a -> Union r (Sem r) a) -> e (Sem r) a -> Sem r a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. ElemOf e r -> e (Sem r) a -> Union r (Sem r) a
forall (e :: (* -> *) -> * -> *) (r :: EffectRow)
(rInitial :: EffectRow) a.
ElemOf e r -> e (Sem rInitial) a -> Union r (Sem rInitial) a
injUsing ElemOf e r
pr
{-# INLINE[3] sendUsing #-}
embed :: Member (Embed m) r => m a -> Sem r a
embed :: m a -> Sem r a
embed = Embed m (Sem r) a -> Sem r a
forall (e :: (* -> *) -> * -> *) (r :: EffectRow) a.
Member e r =>
e (Sem r) a -> Sem r a
send (Embed m (Sem r) a -> Sem r a)
-> (m a -> Embed m (Sem r) a) -> m a -> Sem r a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. m a -> Embed m (Sem r) a
forall (m :: * -> *) a (z :: * -> *). m a -> Embed m z a
Embed
{-# INLINE embed #-}
run :: Sem '[] a -> a
run :: Sem '[] a -> a
run (Sem forall (m :: * -> *).
Monad m =>
(forall x. Union '[] (Sem '[]) x -> m x) -> m a
m) = Identity a -> a
forall a. Identity a -> a
runIdentity (Identity a -> a) -> Identity a -> a
forall a b. (a -> b) -> a -> b
$ (forall x. Union '[] (Sem '[]) x -> Identity x) -> Identity a
forall (m :: * -> *).
Monad m =>
(forall x. Union '[] (Sem '[]) x -> m x) -> m a
m forall x. Union '[] (Sem '[]) x -> Identity x
forall (m :: * -> *) a b. Union '[] m a -> b
absurdU
{-# INLINE run #-}
runM :: Monad m => Sem '[Embed m] a -> m a
runM :: Sem '[Embed m] a -> m a
runM (Sem forall (m :: * -> *).
Monad m =>
(forall x. Union '[Embed m] (Sem '[Embed m]) x -> m x) -> m a
m) = (forall x. Union '[Embed m] (Sem '[Embed m]) x -> m x) -> m a
forall (m :: * -> *).
Monad m =>
(forall x. Union '[Embed m] (Sem '[Embed m]) x -> m x) -> m a
m ((forall x. Union '[Embed m] (Sem '[Embed m]) x -> m x) -> m a)
-> (forall x. Union '[Embed m] (Sem '[Embed m]) x -> m x) -> m a
forall a b. (a -> b) -> a -> b
$ \Union '[Embed m] (Sem '[Embed m]) x
z ->
case Union '[Embed m] (Sem '[Embed m]) x
-> Weaving (Embed m) (Sem '[Embed m]) x
forall (e :: (* -> *) -> * -> *) (m :: * -> *) a.
Union '[e] m a -> Weaving e m a
extract Union '[Embed m] (Sem '[Embed m]) x
z of
Weaving Embed m (Sem rInitial) a
e f ()
s forall x. f (Sem rInitial x) -> Sem '[Embed m] (f x)
_ f a -> x
f forall x. f x -> Maybe x
_ -> do
a
a <- Embed m (Sem rInitial) a -> m a
forall (m :: * -> *) (z :: * -> *) a. Embed m z a -> m a
unEmbed Embed m (Sem rInitial) a
e
x -> m x
forall (f :: * -> *) a. Applicative f => a -> f a
pure (x -> m x) -> x -> m x
forall a b. (a -> b) -> a -> b
$ f a -> x
f (f a -> x) -> f a -> x
forall a b. (a -> b) -> a -> b
$ a
a a -> f () -> f a
forall (f :: * -> *) a b. Functor f => a -> f b -> f a
<$ f ()
s
{-# INLINE runM #-}
type family Append l r where
Append (a ': l) r = a ': (Append l r)
Append '[] r = r
type InterpreterFor e r = ∀ a. Sem (e ': r) a -> Sem r a
type InterpretersFor es r = ∀ a. Sem (Append es r) a -> Sem r a
(.@)
:: Monad m
=> (∀ x. Sem r x -> m x)
-> (∀ y. (∀ x. Sem r x -> m x)
-> Sem (e ': r) y
-> Sem r y)
-> Sem (e ': r) z
-> m z
forall x. Sem r x -> m x
f .@ :: (forall x. Sem r x -> m x)
-> (forall y.
(forall x. Sem r x -> m x) -> Sem (e : r) y -> Sem r y)
-> Sem (e : r) z
-> m z
.@ forall y. (forall x. Sem r x -> m x) -> Sem (e : r) y -> Sem r y
g = Sem r z -> m z
forall x. Sem r x -> m x
f (Sem r z -> m z)
-> (Sem (e : r) z -> Sem r z) -> Sem (e : r) z -> m z
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (forall x. Sem r x -> m x) -> Sem (e : r) z -> Sem r z
forall y. (forall x. Sem r x -> m x) -> Sem (e : r) y -> Sem r y
g forall x. Sem r x -> m x
f
infixl 8 .@
(.@@)
:: Monad m
=> (∀ x. Sem r x -> m x)
-> (∀ y. (∀ x. Sem r x -> m x)
-> Sem (e ': r) y
-> Sem r (f y))
-> Sem (e ': r) z
-> m (f z)
forall x. Sem r x -> m x
f .@@ :: (forall x. Sem r x -> m x)
-> (forall y.
(forall x. Sem r x -> m x) -> Sem (e : r) y -> Sem r (f y))
-> Sem (e : r) z
-> m (f z)
.@@ forall y.
(forall x. Sem r x -> m x) -> Sem (e : r) y -> Sem r (f y)
g = Sem r (f z) -> m (f z)
forall x. Sem r x -> m x
f (Sem r (f z) -> m (f z))
-> (Sem (e : r) z -> Sem r (f z)) -> Sem (e : r) z -> m (f z)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (forall x. Sem r x -> m x) -> Sem (e : r) z -> Sem r (f z)
forall y.
(forall x. Sem r x -> m x) -> Sem (e : r) y -> Sem r (f y)
g forall x. Sem r x -> m x
f
infixl 8 .@@