Pandora.Paradigm.Inventory.State

Documentation

newtype State s a

Effectful computation with a variable

Constructors

State (((->) s :. (:*:) s) := a)

Instances

Interpreted (State s)

Defined in Pandora.Paradigm.Inventory.State

Associated Types

type Primary (State s) a

Methods

run :: State s a -> Primary (State s) a

unite :: Primary (State s) a -> State s a

(||=) :: Interpreted u => (Primary (State s) a -> Primary u b) -> State s a -> u b

(=||) :: Interpreted u => (State s a -> u b) -> Primary (State s) a -> Primary u b

(<$||=) :: (Covariant (->) (->) j, Interpreted u) => (Primary (State s) a -> Primary u b) -> (j := State s a) -> j := u b

(<$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (Primary (State s) a -> Primary u b) -> ((j :. k) := State s a) -> (j :. k) := u b

(<$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (Primary (State s) a -> Primary u b) -> ((j :. (k :. l)) := State s a) -> (j :. (k :. l)) := u b

(<$$$$||=) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (Primary (State s) a -> Primary u b) -> ((j :. (k :. (l :. m))) := State s a) -> (j :. (k :. (l :. m))) := u b

(=||$>) :: (Covariant (->) (->) j, Interpreted u) => (State s a -> u b) -> (j := Primary (State s) a) -> j := Primary u b

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted u) => (State s a -> u b) -> ((j :. k) := Primary (State s) a) -> (j :. k) := Primary u b

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted u) => (State s a -> u b) -> ((j :. (k :. l)) := Primary (State s) a) -> (j :. (k :. l)) := Primary u b

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) m, Interpreted u) => (State s a -> u b) -> ((j :. (k :. (l :. m))) := Primary (State s) a) -> (j :. (k :. (l :. m))) := Primary u b

Monad (State s)

Defined in Pandora.Paradigm.Inventory.State

Monadic (State s)

Defined in Pandora.Paradigm.Inventory.State

Methods

wrap :: forall (u :: Type -> Type). Monoidal (->) (->) (:*:) (:*:) u => State s ~> (State s :> u)

Semimonoidal ((->) :: Type -> Type -> Type) (:*:) (:*:) (State s :: Type -> Type)

Defined in Pandora.Paradigm.Inventory.State

Methods

multiply :: forall (a :: k) (b :: k). (State s a :*: State s b) -> State s (a :*: b)

Invariant (Flip State r)

Defined in Pandora.Paradigm.Inventory.State

Methods

(<$<) :: (a -> b) -> (b -> a) -> Flip State r a -> Flip State r b

invmap :: (a -> b) -> (b -> a) -> Flip State r a -> Flip State r b

Bindable ((->) :: Type -> Type -> Type) (State s)

Defined in Pandora.Paradigm.Inventory.State

Methods

(=<<) :: (a -> State s b) -> State s a -> State s b

Monoidal ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (:*:) (:*:) (State s)

Defined in Pandora.Paradigm.Inventory.State

Methods

unit :: Proxy (:*:) -> (Unit (:*:) -> a) -> State s a

Covariant ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (State s)

Defined in Pandora.Paradigm.Inventory.State

Methods

(-<$>-) :: (a -> b) -> State s a -> State s b

Adjoint ((->) :: Type -> Type -> Type) ((->) :: Type -> Type -> Type) (Store s) (State s)

Defined in Pandora.Paradigm.Inventory

Methods

(-|) :: (Store s a -> b) -> a -> State s b

(|-) :: (a -> State s b) -> Store s a -> b

type Schematic Monad (State s)

Defined in Pandora.Paradigm.Inventory.State

type Schematic Monad (State s) = ((->) s :: Type -> Type) <:<.>:> (:*:) s

type Primary (State s) a

Defined in Pandora.Paradigm.Inventory.State

type Primary (State s) a = (((->) s :: Type -> Type) :. (:*:) s) := a

type Stateful s = Adaptable (State s)

current :: Stateful s t => t s

Get current value

modify :: Stateful s t => (s -> s) -> t s

Modify stored value with a function

replace :: Stateful s t => s -> t s

Replace current value with another one

reconcile :: (Bindable (->) t, Stateful s t, Adaptable u t) => (s -> u s) -> t s

type Memorable s t = (Covariant (->) (->) t, Monoidal (->) (->) (:*:) (:*:) t, Stateful s t)

fold :: (Traversable (->) (->) t, Memorable s u) => (a -> s -> s) -> t a -> u s