Pandora.Paradigm.Inventory.Environment

Documentation

newtype Environment e a

Constructors

Environment (e -> a)

Instances

Covariant (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

Methods

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

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

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

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

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

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

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

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

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

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

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

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

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

Bindable (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

Methods

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

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

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

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

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

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

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

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

Applicative (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

Methods

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

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

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

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

forever :: Environment e a -> Environment e b

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

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

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

Distributive (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

Methods

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

collect :: Covariant u => (a -> Environment e b) -> u a -> (Environment e :. u) := b

distribute :: Covariant u => ((u :. Environment e) := a) -> (Environment e :. u) := a

(>>>-) :: (Covariant u, Covariant v) => ((u :. v) := a) -> (a -> Environment e b) -> (Environment e :. (u :. v)) := b

(>>>>-) :: (Covariant u, Covariant v, Covariant w) => ((u :. (v :. w)) := a) -> (a -> Environment e b) -> (Environment e :. (u :. (v :. w))) := b

(>>>>>-) :: (Covariant u, Covariant v, Covariant w, Covariant j) => ((u :. (v :. (w :. j))) := a) -> (a -> Environment e b) -> (Environment e :. (u :. (v :. (w :. j)))) := b

Pointable (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

Methods

point :: a |-> Environment e

Monad (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

Methods

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

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

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

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

Interpreted (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

Associated Types

type Primary (Environment e) a

Methods

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

Monadic (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

Methods

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

Adjoint (Equipment e) (Environment e)

Defined in Pandora.Paradigm.Inventory

Methods

(-|) :: a -> (Equipment e a -> b) -> Environment e b

(|-) :: Equipment e a -> (a -> Environment e b) -> b

phi :: (Equipment e a -> b) -> a -> Environment e b

psi :: (a -> Environment e b) -> Equipment e a -> b

eta :: a -> (Environment e :. Equipment e) := a

epsilon :: ((Equipment e :. Environment e) := a) -> a

type Schematic Monad (Environment e)

Defined in Pandora.Paradigm.Inventory.Environment

type Schematic Monad (Environment e) = (<:.>) ((->) e :: Type -> Type)

type Primary (Environment e) a

Defined in Pandora.Paradigm.Inventory.Environment

type Primary (Environment e) a = e -> a

type Configured e = Adaptable (Environment e)

env :: Configured e t => t e

Orphan instances

Covariant u => Covariant (((->) e :: Type -> Type) <:.> 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

Bindable u => Bindable (((->) e :: Type -> Type) <:.> 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

Applicative u => Applicative (((->) e :: Type -> Type) <:.> 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

(Covariant u, Pointable u) => Pointable (((->) e :: Type -> Type) <:.> u)

Methods

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