Copyright  (c) Fumiaki Kinoshita 2017 

License  BSD3 
Maintainer  Fumiaki Kinoshita <fumiexcel@gmail.com> 
Safe Haskell  None 
Language  Haskell2010 
Namebased extensible effects
 data Instruction xs a where
 Instruction :: !(Membership xs kv) > AssocValue kv a > Instruction xs a
 type Eff xs = Skeleton (Instruction xs)
 liftEff :: forall s t xs a. Associate s t xs => Proxy s > t a > Eff xs a
 liftsEff :: forall s t xs a r. Associate s t xs => Proxy s > t a > (a > r) > Eff xs r
 hoistEff :: forall s t xs a. Associate s t xs => Proxy s > (forall x. t x > t x) > Eff xs a > Eff xs a
 castEff :: IncludeAssoc ys xs => Eff xs a > Eff ys a
 newtype Interpreter f g = Interpreter {
 runInterpreter :: forall a. g a > f a
 handleEff :: RecordOf (Interpreter m) xs > Eff xs a > MonadView m (Eff xs) a
 peelEff :: forall k t xs a r. Rebinder xs r > (a > r) > (forall x. t x > (x > r) > r) > Eff ((k >: t) ': xs) a > r
 type Rebinder xs r = forall x. Instruction xs x > (x > r) > r
 rebindEff0 :: Rebinder xs (Eff xs r)
 peelEff0 :: forall k t xs a r. (a > Eff xs r) > (forall x. t x > (x > Eff xs r) > Eff xs r) > Eff ((k >: t) ': xs) a > Eff xs r
 rebindEff1 :: Rebinder xs (a > Eff xs r)
 peelEff1 :: forall k t xs a b r. (a > b > Eff xs r) > (forall x. t x > (x > b > Eff xs r) > b > Eff xs r) > Eff ((k >: t) ': xs) a > b > Eff xs r
 rebindEff2 :: Rebinder xs (a > b > Eff xs r)
 leaveEff :: Eff '[] a > a
 retractEff :: forall k m a. Monad m => Eff '[k >: m] a > m a
 data Action args a r where
 type family Function args r :: * where ...
 runAction :: Function xs (f a) > Action xs a r > f r
 (@!?) :: FieldName k > Function xs (f a) > Field (Interpreter f) (k :> Action xs a)
 peelAction :: forall k ps q xs a r. (forall x. Instruction xs x > (x > r) > r) > (a > r) > Function ps ((q > r) > r) > Eff ((k >: Action ps q) ': xs) a > r
 peelAction0 :: forall k ps q xs a. Function ps (Eff xs q) > Eff ((k >: Action ps q) ': xs) a > Eff xs a
 type ReaderEff = (:~:)
 askEff :: forall k r xs. Associate k (ReaderEff r) xs => Proxy k > Eff xs r
 asksEff :: forall k r xs a. Associate k (ReaderEff r) xs => Proxy k > (r > a) > Eff xs a
 localEff :: forall k r xs a. Associate k (ReaderEff r) xs => Proxy k > (r > r) > Eff xs a > Eff xs a
 runReaderEff :: forall k r xs a. Eff ((k >: ReaderEff r) ': xs) a > r > Eff xs a
 type State s = StateT s Identity
 getEff :: forall k s xs. Associate k (State s) xs => Proxy k > Eff xs s
 getsEff :: forall k s a xs. Associate k (State s) xs => Proxy k > (s > a) > Eff xs a
 putEff :: forall k s xs. Associate k (State s) xs => Proxy k > s > Eff xs ()
 modifyEff :: forall k s xs. Associate k (State s) xs => Proxy k > (s > s) > Eff xs ()
 stateEff :: forall k s xs a. Associate k (State s) xs => Proxy k > (s > (a, s)) > Eff xs a
 runStateEff :: forall k s xs a. Eff ((k >: State s) ': xs) a > s > Eff xs (a, s)
 execStateEff :: forall k s xs a. Eff ((k >: State s) ': xs) a > s > Eff xs s
 evalStateEff :: forall k s xs a. Eff ((k >: State s) ': xs) a > s > Eff xs a
 type WriterEff w = (,) w
 writerEff :: forall k w xs a. Associate k (WriterEff w) xs => Proxy k > (a, w) > Eff xs a
 tellEff :: forall k w xs. Associate k (WriterEff w) xs => Proxy k > w > Eff xs ()
 listenEff :: forall k w xs a. (Associate k (WriterEff w) xs, Monoid w) => Proxy k > Eff xs a > Eff xs (a, w)
 passEff :: forall k w xs a. (Associate k (WriterEff w) xs, Monoid w) => Proxy k > Eff xs (a, w > w) > Eff xs a
 runWriterEff :: forall k w xs a. Monoid w => Eff ((k >: WriterEff w) ': xs) a > Eff xs (a, w)
 execWriterEff :: forall k w xs a. Monoid w => Eff ((k >: WriterEff w) ': xs) a > Eff xs w
 type MaybeEff = Const ()
 nothingEff :: Associate k MaybeEff xs => Proxy k > Eff xs a
 runMaybeEff :: forall k xs a. Eff ((k >: MaybeEff) ': xs) a > Eff xs (Maybe a)
 type EitherEff = Const
 throwEff :: Associate k (EitherEff e) xs => Proxy k > e > Eff xs a
 catchEff :: forall k e xs a. Associate k (EitherEff e) xs => Proxy k > Eff xs a > (e > Eff xs a) > Eff xs a
 runEitherEff :: forall k e xs a. Eff ((k >: EitherEff e) ': xs) a > Eff xs (Either e a)
 data Identity a :: * > *
 tickEff :: Associate k Identity xs => Proxy k > Eff xs ()
 runIterEff :: Eff ((k >: Identity) ': xs) a > Eff xs (Either a (Eff ((k >: Identity) ': xs) a))
 data ContT k r m a :: forall k. k > (k > *) > * > *
 contEff :: Associate k (ContT r m) xs => Proxy k > ((a > m r) > m r) > Eff xs a
 runContEff :: forall k r xs a. Eff ((k >: ContT r (Eff xs)) ': xs) a > (a > Eff xs r) > Eff xs r
Base
data Instruction xs a where Source #
A unit of named effects. This is a variant of (
specialised for
'Type > Type'.:
)
Instruction :: !(Membership xs kv) > AssocValue kv a > Instruction xs a 
type Eff xs = Skeleton (Instruction xs) Source #
The extensible operational monad
liftEff :: forall s t xs a. Associate s t xs => Proxy s > t a > Eff xs a Source #
Lift an instruction onto an Eff
action.
liftsEff :: forall s t xs a r. Associate s t xs => Proxy s > t a > (a > r) > Eff xs r Source #
Lift an instruction onto an Eff
action and apply a function to the result.
hoistEff :: forall s t xs a. Associate s t xs => Proxy s > (forall x. t x > t x) > Eff xs a > Eff xs a Source #
Censor a specific type of effects in an action.
Stepwise handling
newtype Interpreter f g Source #
Transformation between effects
Interpreter  

handleEff :: RecordOf (Interpreter m) xs > Eff xs a > MonadView m (Eff xs) a Source #
Process an Eff
action using a record of Interpreter
s.
Peeling
:: Rebinder xs r  Rebind an unrelated action 
> (a > r)  return the result 
> (forall x. t x > (x > r) > r)  Handle the foremost type of an action 
> Eff ((k >: t) ': xs) a  
> r 
Build a relaystyle handler from a triple of functions.
runStateEff = peelEff1 (a s > return (a, s)) (m k s > let (a, s') = runState m s in k a s')
type Rebinder xs r = forall x. Instruction xs x > (x > r) > r Source #
A function to bind an Instruction
in peelEff
.
rebindEff0 :: Rebinder xs (Eff xs r) Source #
A common value for the second argument of peelEff
. Binds an instruction
directly.
:: (a > Eff xs r)  return the result 
> (forall x. t x > (x > Eff xs r) > Eff xs r)  Handle the foremost type of an action 
> Eff ((k >: t) ': xs) a  
> Eff xs r 
peelEff
specialised for continuations with no argument
rebindEff1 :: Rebinder xs (a > Eff xs r) Source #
A predefined value for the second argument of peelEff
.
Preserves the argument of the continuation.
:: (a > b > Eff xs r)  return the result 
> (forall x. t x > (x > b > Eff xs r) > b > Eff xs r)  Handle the foremost type of an action 
> Eff ((k >: t) ': xs) a  
> b  
> Eff xs r 
peelEff
specialised for 1argument continuation
rebindEff2 :: Rebinder xs (a > b > Eff xs r) Source #
A predefined value for the second argument of peelEff
.
Preserves two arguments of the continuation.
retractEff :: forall k m a. Monad m => Eff '[k >: m] a > m a Source #
Tear down an action using the Monad
instance of the instruction.
Anonymous actions
runAction :: Function xs (f a) > Action xs a r > f r Source #
Pass the arguments of Action
to the supplied function.
(@!?) :: FieldName k > Function xs (f a) > Field (Interpreter f) (k :> Action xs a) infix 1 Source #
Create a Field
of a Interpreter
for an Action
.
:: (forall x. Instruction xs x > (x > r) > r)  Rebind an unrelated action 
> (a > r)  return the result 
> Function ps ((q > r) > r)  Handle the foremost action 
> Eff ((k >: Action ps q) ': xs) a  
> r 
Non continuationpassing variant of peelAction
.
transformerscompatible actions and handlers
Reader
type ReaderEff = (:~:) Source #
The reader monad is characterised by a type equality between the result type and the enviroment type.
askEff :: forall k r xs. Associate k (ReaderEff r) xs => Proxy k > Eff xs r Source #
Fetch the environment.
asksEff :: forall k r xs a. Associate k (ReaderEff r) xs => Proxy k > (r > a) > Eff xs a Source #
Pass the environment to a function.
localEff :: forall k r xs a. Associate k (ReaderEff r) xs => Proxy k > (r > r) > Eff xs a > Eff xs a Source #
Modify the enviroment locally.
runReaderEff :: forall k r xs a. Eff ((k >: ReaderEff r) ': xs) a > r > Eff xs a Source #
Run the frontal reader effect.
State
type State s = StateT s Identity #
A state monad parameterized by the type s
of the state to carry.
The return
function leaves the state unchanged, while >>=
uses
the final state of the first computation as the initial state of
the second.
getEff :: forall k s xs. Associate k (State s) xs => Proxy k > Eff xs s Source #
Get the current state.
getsEff :: forall k s a xs. Associate k (State s) xs => Proxy k > (s > a) > Eff xs a Source #
Pass the current state to a function.
putEff :: forall k s xs. Associate k (State s) xs => Proxy k > s > Eff xs () Source #
Replace the state with a new value.
modifyEff :: forall k s xs. Associate k (State s) xs => Proxy k > (s > s) > Eff xs () Source #
Modify the state.
stateEff :: forall k s xs a. Associate k (State s) xs => Proxy k > (s > (a, s)) > Eff xs a Source #
Lift a state modification function.
runStateEff :: forall k s xs a. Eff ((k >: State s) ': xs) a > s > Eff xs (a, s) Source #
Run the frontal state effect.
execStateEff :: forall k s xs a. Eff ((k >: State s) ': xs) a > s > Eff xs s Source #
Run the frontal state effect and return the final state.
evalStateEff :: forall k s xs a. Eff ((k >: State s) ': xs) a > s > Eff xs a Source #
Run the frontal state effect and return the final result.
Writer
writerEff :: forall k w xs a. Associate k (WriterEff w) xs => Proxy k > (a, w) > Eff xs a Source #
Write the second element and return the first element.
tellEff :: forall k w xs. Associate k (WriterEff w) xs => Proxy k > w > Eff xs () Source #
Write a value.
listenEff :: forall k w xs a. (Associate k (WriterEff w) xs, Monoid w) => Proxy k > Eff xs a > Eff xs (a, w) Source #
Squash the outputs into one step and return it.
passEff :: forall k w xs a. (Associate k (WriterEff w) xs, Monoid w) => Proxy k > Eff xs (a, w > w) > Eff xs a Source #
Modify the output using the function in the result.
runWriterEff :: forall k w xs a. Monoid w => Eff ((k >: WriterEff w) ': xs) a > Eff xs (a, w) Source #
Run the frontal writer effect.
execWriterEff :: forall k w xs a. Monoid w => Eff ((k >: WriterEff w) ': xs) a > Eff xs w Source #
Run the frontal state effect.
Maybe
nothingEff :: Associate k MaybeEff xs => Proxy k > Eff xs a Source #
Break out of the computation. Similar to Nothing
.
runMaybeEff :: forall k xs a. Eff ((k >: MaybeEff) ': xs) a > Eff xs (Maybe a) Source #
Run an effect which may fail in the name of k
.
Either
throwEff :: Associate k (EitherEff e) xs => Proxy k > e > Eff xs a Source #
Throw an exception e
, throwing the rest of the computation away.
catchEff :: forall k e xs a. Associate k (EitherEff e) xs => Proxy k > Eff xs a > (e > Eff xs a) > Eff xs a Source #
Attach a handler for an exception.
runEitherEff :: forall k e xs a. Eff ((k >: EitherEff e) ': xs) a > Eff xs (Either e a) Source #
Run an action and abort on throwEff
.
Iter
Identity functor and monad. (a nonstrict monad)
Since: 4.8.0.0
tickEff :: Associate k Identity xs => Proxy k > Eff xs () Source #
Put a milestone on a computation.
runIterEff :: Eff ((k >: Identity) ': xs) a > Eff xs (Either a (Eff ((k >: Identity) ': xs) a)) Source #
Run a computation until the first call of tickEff
.
Cont
data ContT k r m a :: forall k. k > (k > *) > * > * #
The continuation monad transformer.
Can be used to add continuation handling to any type constructor:
the Monad
instance and most of the operations do not require m
to be a monad.
ContT
is not a functor on the category of monads, and many operations
cannot be lifted through it.
MonadReader r' m => MonadReader r' (ContT * r m)  
MonadState s m => MonadState s (ContT * r m)  
MonadTrans (ContT * r)  
Monad (ContT k r m)  
Functor (ContT k r m)  
MonadFail m => MonadFail (ContT * r m)  
Applicative (ContT k r m)  
MonadIO m => MonadIO (ContT * r m)  