Pandora.Paradigm.Inventory.Environment

Documentation

newtype Environment e a

Constructors

Environment (e -> a)

Instances

Divariant Environment

Defined in Pandora.Paradigm.Inventory.Environment

Methods

(>->) :: (a -> b) -> (c -> d) -> Environment b c -> Environment a d

dimap :: (a -> b) -> (c -> d) -> Environment b c -> Environment a d

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

(.#..) :: (Environment e ~ v a, Category v) => v c d -> ((v a :. v b) := c) -> (v a :. v b) := d

(.#...) :: (Environment e ~ v a, Environment e ~ v b, Category v, Covariant (v a), Covariant (v b)) => v d e0 -> ((v a :. (v b :. v c)) := d) -> (v a :. (v b :. v c)) := e0

(.#....) :: (Environment e ~ v a, Environment e ~ v b, Environment e ~ v c, Category v, Covariant (v a), Covariant (v b), Covariant (v c)) => v e0 f -> ((v a :. (v b :. (v c :. v d))) := e0) -> (v a :. (v b :. (v c :. v d))) := f

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

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

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

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

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

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

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

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

pass :: 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

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

(||=) :: Interpreted u => (Primary (Environment e) a -> Primary u b) -> Environment e a -> u b

(=||) :: Interpreted u => (Environment e a -> u b) -> Primary (Environment e) a -> Primary u b

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

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

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

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

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

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

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

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

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

(-|$) :: Covariant v => v a -> (Equipment e a -> b) -> v (Environment e b)

($|-) :: Covariant v => v (Equipment e a) -> (a -> Environment e b) -> v b

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

($$$|-) :: (Covariant v, Covariant w, Covariant x) => ((v :. (w :. (x :. Equipment e))) := a) -> (a -> Environment e b) -> (v :. (w :. x)) := b

($$$$|-) :: (Covariant v, Covariant w, Covariant x, Covariant y) => ((v :. (w :. (x :. (y :. Equipment e)))) := a) -> (a -> Environment e b) -> (v :. (w :. (x :. y))) := b

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