Control.Effect.Sum

Operations on sums, combining effects into a signature.

Since: 0.1.0.0

Membership

class Member (sub :: (* -> *) -> * -> *) sup where

The class of types present in a signature.

This is based on Wouter Swierstra’s design described in Data types à la carte. As described therein, overlapping instances are required in order to distinguish e.g. left-occurrence from right-recursion.

It should not generally be necessary for you to define new Member instances, but these are not specifically prohibited if you wish to get creative.

Since: 0.1.0.0

Methods

inj :: sub m a -> sup m a

Inject a member of a signature into the signature.

Instances

Member t t

Reflexivity: t is a member of itself.

Defined in Control.Effect.Sum

Methods

inj :: forall (m :: Type -> Type) a. t m a -> t m a

Member l r => Member l (l' :+: r)

Right-recursion: if t is a member of r, we can inject it into r in O(n), followed by lifting that into l :+: r in O(1).

Defined in Control.Effect.Sum

Methods

inj :: forall (m :: Type -> Type) a. l m a -> (l' :+: r) m a

Member l (l :+: r)

Left-occurrence: if t is at the head of a signature, we can inject it in O(1).

Defined in Control.Effect.Sum

Methods

inj :: forall (m :: Type -> Type) a. l m a -> (l :+: r) m a

Member t (l1 :+: (l2 :+: r)) => Member t ((l1 :+: l2) :+: r)

Left-recursion: if t is a member of l1 :+: l2 :+: r, then we can inject it into (l1 :+: l2) :+: r by injection into a right-recursive signature, followed by left-association.

Defined in Control.Effect.Sum

Methods

inj :: forall (m :: Type -> Type) a. t m a -> ((l1 :+: l2) :+: r) m a

type family Members sub sup :: Constraint where ...

Decompose sums on the left into multiple Member constraints.

Note that while this, and by extension Has, can be used to group together multiple membership checks into a single (composite) constraint, large signatures on the left can slow compiles down due to a problem with recursive type families.

Since: 1.0.0.0

Equations

Members (l :+: r) u = (Members l u, Members r u)

Members t u = Member t u

Sums

data (f :+: g) (m :: * -> *) k infixr 4

Higher-order sums are used to combine multiple effects into a signature, typically by chaining on the right.

Constructors

L (f m k)

R (g m k)

Instances

Algebra NonDet []

Defined in Control.Algebra

Methods

alg :: NonDet [] a -> [a]

LabelledMember label l r => LabelledMember (label :: k) l (l' :+: r)

Right-recursion: if t is a member of r, we can inject it into r in O(n), followed by lifting that into l :+: r in O(1).

Defined in Control.Effect.Labelled

Methods

injLabelled :: forall (m :: Type -> Type) a. Labelled label l m a -> (l' :+: r) m a

LabelledMember (label :: k) l (Labelled label l :+: r)

Left-occurrence: if t is at the head of a signature, we can inject it in O(1).

Defined in Control.Effect.Labelled

Methods

injLabelled :: forall (m :: Type -> Type) a. Labelled label l m a -> (Labelled label l :+: r) m a

LabelledMember label t (l1 :+: (l2 :+: r)) => LabelledMember (label :: k) t ((l1 :+: l2) :+: r)

Left-recursion: if t is a member of l1 :+: l2 :+: r, then we can inject it into (l1 :+: l2) :+: r by injection into a right-recursive signature, followed by left-association.

Defined in Control.Effect.Labelled

Methods

injLabelled :: forall (m :: Type -> Type) a. Labelled label t m a -> ((l1 :+: l2) :+: r) m a

Member l r => Member l (l' :+: r)

Right-recursion: if t is a member of r, we can inject it into r in O(n), followed by lifting that into l :+: r in O(1).

Defined in Control.Effect.Sum

Methods

inj :: forall (m :: Type -> Type) a. l m a -> (l' :+: r) m a

Member l (l :+: r)

Left-occurrence: if t is at the head of a signature, we can inject it in O(1).

Defined in Control.Effect.Sum

Methods

inj :: forall (m :: Type -> Type) a. l m a -> (l :+: r) m a

Member t (l1 :+: (l2 :+: r)) => Member t ((l1 :+: l2) :+: r)

Left-recursion: if t is a member of l1 :+: l2 :+: r, then we can inject it into (l1 :+: l2) :+: r by injection into a right-recursive signature, followed by left-association.

Defined in Control.Effect.Sum

Methods

inj :: forall (m :: Type -> Type) a. t m a -> ((l1 :+: l2) :+: r) m a

Algebra (Error e) (Either e)

Defined in Control.Algebra

Methods

alg :: Error e (Either e) a -> Either e a

Generic1 ((f :+: g) m :: Type -> Type)

Defined in Control.Effect.Sum

Associated Types

type Rep1 ((f :+: g) m) :: k -> Type

Methods

from1 :: forall (a :: k). (f :+: g) m a -> Rep1 ((f :+: g) m) a

to1 :: forall (a :: k). Rep1 ((f :+: g) m) a -> (f :+: g) m a

(Effect f, Effect g) => Effect (f :+: g)

Defined in Control.Effect.Sum

Methods

thread :: (Functor ctx, Monad m) => ctx () -> (forall x. ctx (m x) -> n (ctx x)) -> (f :+: g) m a -> (f :+: g) n (ctx a)

(HFunctor f, HFunctor g) => HFunctor (f :+: g)

Defined in Control.Effect.Sum

Methods

hmap :: Functor m => (forall x. m x -> n x) -> (f :+: g) m a -> (f :+: g) n a

(Algebra sig m, Effect sig) => Algebra (Choose :+: sig) (ChooseC m)

Defined in Control.Carrier.Choose.Church

Methods

alg :: (Choose :+: sig) (ChooseC m) a -> ChooseC m a

(Algebra sig m, Effect sig) => Algebra (Empty :+: sig) (EmptyC m)

Defined in Control.Carrier.Empty.Maybe

Methods

alg :: (Empty :+: sig) (EmptyC m) a -> EmptyC m a

(Algebra sig m, Effect sig) => Algebra (NonDet :+: sig) (NonDetC m)

Defined in Control.Carrier.NonDet.Church

Methods

alg :: (NonDet :+: sig) (NonDetC m) a -> NonDetC m a

(MonadIO m, Algebra sig m) => Algebra (Trace :+: sig) (TraceC m)

Defined in Control.Carrier.Trace.Printing

Methods

alg :: (Trace :+: sig) (TraceC m) a -> TraceC m a

Algebra sig m => Algebra (Trace :+: sig) (TraceC m)

Defined in Control.Carrier.Trace.Ignoring

Methods

alg :: (Trace :+: sig) (TraceC m) a -> TraceC m a

(Algebra sig m, Effect sig) => Algebra (Trace :+: sig) (TraceC m)

Defined in Control.Carrier.Trace.Returning

Methods

alg :: (Trace :+: sig) (TraceC m) a -> TraceC m a

(Algebra sig m, Effect sig) => Algebra (Fail :+: sig) (FailC m)

Defined in Control.Carrier.Fail.Either

Methods

alg :: (Fail :+: sig) (FailC m) a -> FailC m a

(Algebra sig m, Effect sig) => Algebra (Fresh :+: sig) (FreshC m)

Defined in Control.Carrier.Fresh.Strict

Methods

alg :: (Fresh :+: sig) (FreshC m) a -> FreshC m a

(Algebra sig m, Effect sig) => Algebra (Cut :+: (NonDet :+: sig)) (CutC m)

Defined in Control.Carrier.Cut.Church

Methods

alg :: (Cut :+: (NonDet :+: sig)) (CutC m) a -> CutC m a

(Algebra sig m, Effect sig) => Algebra (Cull :+: (NonDet :+: sig)) (CullC m)

Defined in Control.Carrier.Cull.Church

Methods

alg :: (Cull :+: (NonDet :+: sig)) (CullC m) a -> CullC m a

Algebra sig m => Algebra (Reader r :+: sig) (ReaderT r m)

Defined in Control.Algebra

Methods

alg :: (Reader r :+: sig) (ReaderT r m) a -> ReaderT r m a

Algebra sig m => Algebra (Reader r :+: sig) (ReaderC r m)

Defined in Control.Carrier.Reader

Methods

alg :: (Reader r :+: sig) (ReaderC r m) a -> ReaderC r m a

(Algebra sig m, Effect sig) => Algebra (State s :+: sig) (StateT s m)

Defined in Control.Algebra

Methods

alg :: (State s :+: sig) (StateT s m) a -> StateT s m a

(Algebra sig m, Effect sig) => Algebra (State s :+: sig) (StateT s m)

Defined in Control.Algebra

Methods

alg :: (State s :+: sig) (StateT s m) a -> StateT s m a

(Algebra sig m, Effect sig) => Algebra (State s :+: sig) (StateC s m)

Defined in Control.Carrier.State.Strict

Methods

alg :: (State s :+: sig) (StateC s m) a -> StateC s m a

(Algebra sig m, Effect sig) => Algebra (State s :+: sig) (StateC s m)

Defined in Control.Carrier.State.Lazy

Methods

alg :: (State s :+: sig) (StateC s m) a -> StateC s m a

(Algebra sig m, Effect sig) => Algebra (Throw e :+: sig) (ThrowC e m)

Defined in Control.Carrier.Throw.Either

Methods

alg :: (Throw e :+: sig) (ThrowC e m) a -> ThrowC e m a

(Algebra sig m, Effect sig) => Algebra (Error e :+: sig) (ExceptT e m)

Defined in Control.Algebra

Methods

alg :: (Error e :+: sig) (ExceptT e m) a -> ExceptT e m a

(Algebra sig m, Effect sig) => Algebra (Error e :+: sig) (ErrorC e m)

Defined in Control.Carrier.Error.Either

Methods

alg :: (Error e :+: sig) (ErrorC e m) a -> ErrorC e m a

(Algebra sig m, Effect sig, Monoid w) => Algebra (Writer w :+: sig) (WriterT w m)

Defined in Control.Algebra

Methods

alg :: (Writer w :+: sig) (WriterT w m) a -> WriterT w m a

(Algebra sig m, Effect sig, Monoid w) => Algebra (Writer w :+: sig) (WriterT w m)

Defined in Control.Algebra

Methods

alg :: (Writer w :+: sig) (WriterT w m) a -> WriterT w m a

(Monoid w, Algebra sig m, Effect sig) => Algebra (Writer w :+: sig) (WriterC w m)

Defined in Control.Carrier.Writer.Strict

Methods

alg :: (Writer w :+: sig) (WriterC w m) a -> WriterC w m a

(HFunctor eff, HFunctor sig, Reifies s (Handler eff m), Monad m, Algebra sig m) => Algebra (eff :+: sig) (InterpretC s eff m)

Defined in Control.Carrier.Interpret

Methods

alg :: (eff :+: sig) (InterpretC s eff m) a -> InterpretC s eff m a

(LabelledMember label sub sig, HFunctor sub, Algebra sig m) => Algebra (sub :+: sig) (UnderLabel label sub m)

Defined in Control.Effect.Labelled

Methods

alg :: (sub :+: sig) (UnderLabel label sub m) a -> UnderLabel label sub m a

(Algebra sig m, Effect sig, Monoid w) => Algebra (Reader r :+: (Writer w :+: (State s :+: sig))) (RWST r w s m)

Defined in Control.Algebra

Methods

alg :: (Reader r :+: (Writer w :+: (State s :+: sig))) (RWST r w s m) a -> RWST r w s m a

(Algebra sig m, Effect sig, Monoid w) => Algebra (Reader r :+: (Writer w :+: (State s :+: sig))) (RWST r w s m)

Defined in Control.Algebra

Methods

alg :: (Reader r :+: (Writer w :+: (State s :+: sig))) (RWST r w s m) a -> RWST r w s m a

(Algebra (eff :+: sig) (sub m), HFunctor eff, HFunctor sig) => Algebra (Labelled label eff :+: sig) (Labelled label sub m)

Defined in Control.Effect.Labelled

Methods

alg :: (Labelled label eff :+: sig) (Labelled label sub m) a -> Labelled label sub m a

(Functor (f m), Functor (g m)) => Functor ((f :+: g) m)

Defined in Control.Effect.Sum

Methods

fmap :: (a -> b) -> (f :+: g) m a -> (f :+: g) m b

(<$) :: a -> (f :+: g) m b -> (f :+: g) m a

(Foldable (f m), Foldable (g m)) => Foldable ((f :+: g) m)

Defined in Control.Effect.Sum

Methods

fold :: Monoid m0 => (f :+: g) m m0 -> m0

foldMap :: Monoid m0 => (a -> m0) -> (f :+: g) m a -> m0

foldMap' :: Monoid m0 => (a -> m0) -> (f :+: g) m a -> m0

foldr :: (a -> b -> b) -> b -> (f :+: g) m a -> b

foldr' :: (a -> b -> b) -> b -> (f :+: g) m a -> b

foldl :: (b -> a -> b) -> b -> (f :+: g) m a -> b

foldl' :: (b -> a -> b) -> b -> (f :+: g) m a -> b

foldr1 :: (a -> a -> a) -> (f :+: g) m a -> a

foldl1 :: (a -> a -> a) -> (f :+: g) m a -> a

toList :: (f :+: g) m a -> [a]

null :: (f :+: g) m a -> Bool

length :: (f :+: g) m a -> Int

elem :: Eq a => a -> (f :+: g) m a -> Bool

maximum :: Ord a => (f :+: g) m a -> a

minimum :: Ord a => (f :+: g) m a -> a

sum :: Num a => (f :+: g) m a -> a

product :: Num a => (f :+: g) m a -> a

(Traversable (f m), Traversable (g m)) => Traversable ((f :+: g) m)

Defined in Control.Effect.Sum

Methods

traverse :: Applicative f0 => (a -> f0 b) -> (f :+: g) m a -> f0 ((f :+: g) m b)

sequenceA :: Applicative f0 => (f :+: g) m (f0 a) -> f0 ((f :+: g) m a)

mapM :: Monad m0 => (a -> m0 b) -> (f :+: g) m a -> m0 ((f :+: g) m b)

sequence :: Monad m0 => (f :+: g) m (m0 a) -> m0 ((f :+: g) m a)

(Eq (f m k), Eq (g m k)) => Eq ((f :+: g) m k)

Defined in Control.Effect.Sum

Methods

(==) :: (f :+: g) m k -> (f :+: g) m k -> Bool

(/=) :: (f :+: g) m k -> (f :+: g) m k -> Bool

(Ord (f m k), Ord (g m k)) => Ord ((f :+: g) m k)

Defined in Control.Effect.Sum

Methods

compare :: (f :+: g) m k -> (f :+: g) m k -> Ordering

(<) :: (f :+: g) m k -> (f :+: g) m k -> Bool

(<=) :: (f :+: g) m k -> (f :+: g) m k -> Bool

(>) :: (f :+: g) m k -> (f :+: g) m k -> Bool

(>=) :: (f :+: g) m k -> (f :+: g) m k -> Bool

max :: (f :+: g) m k -> (f :+: g) m k -> (f :+: g) m k

min :: (f :+: g) m k -> (f :+: g) m k -> (f :+: g) m k

(Show (f m k), Show (g m k)) => Show ((f :+: g) m k)

Defined in Control.Effect.Sum

Methods

showsPrec :: Int -> (f :+: g) m k -> ShowS

show :: (f :+: g) m k -> String

showList :: [(f :+: g) m k] -> ShowS

type Rep1 ((f :+: g) m :: Type -> Type)

Defined in Control.Effect.Sum

type Rep1 ((f :+: g) m :: Type -> Type) = D1 ('MetaData ":+:" "Control.Effect.Sum" "fused-effects-1.0.2.0-inplace" 'False) (C1 ('MetaCons "L" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 (f m))) :+: C1 ('MetaCons "R" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 (g m))))

reassociateSumL :: (l1 :+: (l2 :+: r)) m a -> ((l1 :+: l2) :+: r) m a

Reassociate a right-nested sum leftwards.

Since: 1.0.2.0