Pandora.Paradigm.Inventory.Accumulator

Documentation

newtype Accumulator e a

Constructors

Accumulator (e :*: a)

Instances

Covariant (Accumulator e)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

(<$>) :: (a -> b) -> Accumulator e a -> Accumulator e b

comap :: (a -> b) -> Accumulator e a -> Accumulator e b

(<$) :: a -> Accumulator e b -> Accumulator e a

($>) :: Accumulator e a -> b -> Accumulator e b

void :: Accumulator e a -> Accumulator e ()

loeb :: Accumulator e (a <-| Accumulator e) -> Accumulator e a

(<&>) :: Accumulator e a -> (a -> b) -> Accumulator e b

(<$$>) :: Covariant u => (a -> b) -> ((Accumulator e :. u) := a) -> (Accumulator e :. u) := b

(<$$$>) :: (Covariant u, Covariant v) => (a -> b) -> ((Accumulator e :. (u :. v)) := a) -> (Accumulator e :. (u :. v)) := b

(<$$$$>) :: (Covariant u, Covariant v, Covariant w) => (a -> b) -> ((Accumulator e :. (u :. (v :. w))) := a) -> (Accumulator e :. (u :. (v :. w))) := b

(<&&>) :: Covariant u => ((Accumulator e :. u) := a) -> (a -> b) -> (Accumulator e :. u) := b

(<&&&>) :: (Covariant u, Covariant v) => ((Accumulator e :. (u :. v)) := a) -> (a -> b) -> (Accumulator e :. (u :. v)) := b

(<&&&&>) :: (Covariant u, Covariant v, Covariant w) => ((Accumulator e :. (u :. (v :. w))) := a) -> (a -> b) -> (Accumulator e :. (u :. (v :. w))) := b

Semigroup e => Bindable (Accumulator e)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

(>>=) :: Accumulator e a -> (a -> Accumulator e b) -> Accumulator e b

(=<<) :: (a -> Accumulator e b) -> Accumulator e a -> Accumulator e b

bind :: (a -> Accumulator e b) -> Accumulator e a -> Accumulator e b

join :: ((Accumulator e :. Accumulator e) := a) -> Accumulator e a

(>=>) :: (a -> Accumulator e b) -> (b -> Accumulator e c) -> a -> Accumulator e c

(<=<) :: (b -> Accumulator e c) -> (a -> Accumulator e b) -> a -> Accumulator e c

($>>=) :: Covariant u => (a -> Accumulator e b) -> ((u :. Accumulator e) := a) -> (u :. Accumulator e) := b

(<>>=) :: (Accumulator e b -> c) -> (a -> Accumulator e b) -> Accumulator e a -> c

Semigroup e => Applicative (Accumulator e)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

(<*>) :: Accumulator e (a -> b) -> Accumulator e a -> Accumulator e b

apply :: Accumulator e (a -> b) -> Accumulator e a -> Accumulator e b

(*>) :: Accumulator e a -> Accumulator e b -> Accumulator e b

(<*) :: Accumulator e a -> Accumulator e b -> Accumulator e a

forever :: Accumulator e a -> Accumulator e b

(<**>) :: Applicative u => ((Accumulator e :. u) := (a -> b)) -> ((Accumulator e :. u) := a) -> (Accumulator e :. u) := b

(<***>) :: (Applicative u, Applicative v) => ((Accumulator e :. (u :. v)) := (a -> b)) -> ((Accumulator e :. (u :. v)) := a) -> (Accumulator e :. (u :. v)) := b

(<****>) :: (Applicative u, Applicative v, Applicative w) => ((Accumulator e :. (u :. (v :. w))) := (a -> b)) -> ((Accumulator e :. (u :. (v :. w))) := a) -> (Accumulator e :. (u :. (v :. w))) := b

Monoid e => Pointable (Accumulator e)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

point :: a |-> Accumulator e

Interpreted (Accumulator e)

Defined in Pandora.Paradigm.Inventory.Accumulator

Associated Types

type Primary (Accumulator e) a

Methods

run :: Accumulator e a -> Primary (Accumulator e) a

Monoid e => Monadic (Accumulator e)

Defined in Pandora.Paradigm.Inventory.Accumulator

Methods

wrap :: forall (u :: Type -> Type). Pointable u => Accumulator e ~> (Accumulator e :> u)

Adjoint (Accumulator e) (Imprint e)

Defined in Pandora.Paradigm.Inventory

Methods

(-|) :: a -> (Accumulator e a -> b) -> Imprint e b

(|-) :: Accumulator e a -> (a -> Imprint e b) -> b

phi :: (Accumulator e a -> b) -> a -> Imprint e b

psi :: (a -> Imprint e b) -> Accumulator e a -> b

eta :: a -> (Imprint e :. Accumulator e) := a

epsilon :: ((Accumulator e :. Imprint e) := a) -> a

type Schematic Monad (Accumulator e)

Defined in Pandora.Paradigm.Inventory.Accumulator

type Schematic Monad (Accumulator e) = (<.:>) ((:*:) e)

type Primary (Accumulator e) a

Defined in Pandora.Paradigm.Inventory.Accumulator

type Primary (Accumulator e) a = e :*: a

type Accumulated e t = Adaptable (Accumulator e) t

gather :: Accumulated e t => e -> t ()

Orphan instances

Covariant u => Covariant ((:*:) e <.:> u)

Methods

(<$>) :: (a -> b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

comap :: (a -> b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

(<$) :: a -> ((:*:) e <.:> u) b -> ((:*:) e <.:> u) a

($>) :: ((:*:) e <.:> u) a -> b -> ((:*:) e <.:> u) b

void :: ((:*:) e <.:> u) a -> ((:*:) e <.:> u) ()

loeb :: ((:*:) e <.:> u) (a <-| ((:*:) e <.:> u)) -> ((:*:) e <.:> u) a

(<&>) :: ((:*:) e <.:> u) a -> (a -> b) -> ((:*:) e <.:> u) b

(<$$>) :: Covariant u0 => (a -> b) -> ((((:*:) e <.:> u) :. u0) := a) -> (((:*:) e <.:> u) :. u0) := b

(<$$$>) :: (Covariant u0, Covariant v) => (a -> b) -> ((((:*:) e <.:> u) :. (u0 :. v)) := a) -> (((:*:) e <.:> u) :. (u0 :. v)) := b

(<$$$$>) :: (Covariant u0, Covariant v, Covariant w) => (a -> b) -> ((((:*:) e <.:> u) :. (u0 :. (v :. w))) := a) -> (((:*:) e <.:> u) :. (u0 :. (v :. w))) := b

(<&&>) :: Covariant u0 => ((((:*:) e <.:> u) :. u0) := a) -> (a -> b) -> (((:*:) e <.:> u) :. u0) := b

(<&&&>) :: (Covariant u0, Covariant v) => ((((:*:) e <.:> u) :. (u0 :. v)) := a) -> (a -> b) -> (((:*:) e <.:> u) :. (u0 :. v)) := b

(<&&&&>) :: (Covariant u0, Covariant v, Covariant w) => ((((:*:) e <.:> u) :. (u0 :. (v :. w))) := a) -> (a -> b) -> (((:*:) e <.:> u) :. (u0 :. (v :. w))) := b

(Semigroup e, Pointable u, Bindable u) => Bindable ((:*:) e <.:> u)

Methods

(>>=) :: ((:*:) e <.:> u) a -> (a -> ((:*:) e <.:> u) b) -> ((:*:) e <.:> u) b

(=<<) :: (a -> ((:*:) e <.:> u) b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

bind :: (a -> ((:*:) e <.:> u) b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

join :: ((((:*:) e <.:> u) :. ((:*:) e <.:> u)) := a) -> ((:*:) e <.:> u) a

(>=>) :: (a -> ((:*:) e <.:> u) b) -> (b -> ((:*:) e <.:> u) c) -> a -> ((:*:) e <.:> u) c

(<=<) :: (b -> ((:*:) e <.:> u) c) -> (a -> ((:*:) e <.:> u) b) -> a -> ((:*:) e <.:> u) c

($>>=) :: Covariant u0 => (a -> ((:*:) e <.:> u) b) -> ((u0 :. ((:*:) e <.:> u)) := a) -> (u0 :. ((:*:) e <.:> u)) := b

(<>>=) :: (((:*:) e <.:> u) b -> c) -> (a -> ((:*:) e <.:> u) b) -> ((:*:) e <.:> u) a -> c

(Semigroup e, Applicative u) => Applicative ((:*:) e <.:> u)

Methods

(<*>) :: ((:*:) e <.:> u) (a -> b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

apply :: ((:*:) e <.:> u) (a -> b) -> ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

(*>) :: ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b -> ((:*:) e <.:> u) b

(<*) :: ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b -> ((:*:) e <.:> u) a

forever :: ((:*:) e <.:> u) a -> ((:*:) e <.:> u) b

(<**>) :: Applicative u0 => ((((:*:) e <.:> u) :. u0) := (a -> b)) -> ((((:*:) e <.:> u) :. u0) := a) -> (((:*:) e <.:> u) :. u0) := b

(<***>) :: (Applicative u0, Applicative v) => ((((:*:) e <.:> u) :. (u0 :. v)) := (a -> b)) -> ((((:*:) e <.:> u) :. (u0 :. v)) := a) -> (((:*:) e <.:> u) :. (u0 :. v)) := b

(<****>) :: (Applicative u0, Applicative v, Applicative w) => ((((:*:) e <.:> u) :. (u0 :. (v :. w))) := (a -> b)) -> ((((:*:) e <.:> u) :. (u0 :. (v :. w))) := a) -> (((:*:) e <.:> u) :. (u0 :. (v :. w))) := b

(Pointable u, Monoid e) => Pointable ((:*:) e <.:> u)

Methods

point :: a |-> ((:*:) e <.:> u)