Pandora.Paradigm.Primary.Transformer.Construction

Documentation

data Construction t a

Constructors

Construct a ((t :. Construction t) := a)

Instances

Insertable Stack

Defined in Pandora.Paradigm.Structure.Stack

Methods

insert :: a -> Stack a -> Stack a

(forall a. Chain a) => Insertable Binary

Defined in Pandora.Paradigm.Structure.Binary

Methods

insert :: a -> Binary a -> Binary a

Lowerable Construction

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

lower :: forall (u :: Type -> Type). Covariant u => Construction u ~> u

(forall a. Chain a) => Insertable (Construction Wye)

Defined in Pandora.Paradigm.Structure.Binary

Methods

insert :: a -> Construction Wye a -> Construction Wye a

Insertable (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Stack

Methods

insert :: a -> Construction Maybe a -> Construction Maybe a

Covariant t => Covariant (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(<$>) :: (a -> b) -> Construction t a -> Construction t b

comap :: (a -> b) -> Construction t a -> Construction t b

(<$) :: a -> Construction t b -> Construction t a

($>) :: Construction t a -> b -> Construction t b

void :: Construction t a -> Construction t ()

loeb :: Construction t (a <-| Construction t) -> Construction t a

(<&>) :: Construction t a -> (a -> b) -> Construction t b

(<$$>) :: Covariant u => (a -> b) -> ((Construction t :. u) := a) -> (Construction t :. u) := b

(<$$$>) :: (Covariant u, Covariant v) => (a -> b) -> ((Construction t :. (u :. v)) := a) -> (Construction t :. (u :. v)) := b

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

(<&&>) :: Covariant u => ((Construction t :. u) := a) -> (a -> b) -> (Construction t :. u) := b

(<&&&>) :: (Covariant u, Covariant v) => ((Construction t :. (u :. v)) := a) -> (a -> b) -> (Construction t :. (u :. v)) := b

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

Alternative t => Bindable (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(>>=) :: Construction t a -> (a -> Construction t b) -> Construction t b

(=<<) :: (a -> Construction t b) -> Construction t a -> Construction t b

bind :: (a -> Construction t b) -> Construction t a -> Construction t b

join :: ((Construction t :. Construction t) := a) -> Construction t a

(>=>) :: (a -> Construction t b) -> (b -> Construction t c) -> a -> Construction t c

(<=<) :: (b -> Construction t c) -> (a -> Construction t b) -> a -> Construction t c

($>>=) :: Covariant u => (a -> Construction t b) -> ((u :. Construction t) := a) -> (u :. Construction t) := b

(<>>=) :: (Construction t b -> c) -> (a -> Construction t b) -> Construction t a -> c

Applicative t => Applicative (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(<*>) :: Construction t (a -> b) -> Construction t a -> Construction t b

apply :: Construction t (a -> b) -> Construction t a -> Construction t b

(*>) :: Construction t a -> Construction t b -> Construction t b

(<*) :: Construction t a -> Construction t b -> Construction t a

forever :: Construction t a -> Construction t b

(<**>) :: Applicative u => ((Construction t :. u) := (a -> b)) -> ((Construction t :. u) := a) -> (Construction t :. u) := b

(<***>) :: (Applicative u, Applicative v) => ((Construction t :. (u :. v)) := (a -> b)) -> ((Construction t :. (u :. v)) := a) -> (Construction t :. (u :. v)) := b

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

Extendable (Tap (Delta <:.> Stream))

Defined in Pandora.Paradigm.Structure.Stream

Methods

(=>>) :: Tap (Delta <:.> Stream) a -> (Tap (Delta <:.> Stream) a -> b) -> Tap (Delta <:.> Stream) b

(<<=) :: (Tap (Delta <:.> Stream) a -> b) -> Tap (Delta <:.> Stream) a -> Tap (Delta <:.> Stream) b

extend :: (Tap (Delta <:.> Stream) a -> b) -> Tap (Delta <:.> Stream) a -> Tap (Delta <:.> Stream) b

duplicate :: Tap (Delta <:.> Stream) a -> (Tap (Delta <:.> Stream) :. Tap (Delta <:.> Stream)) := a

(=<=) :: (Tap (Delta <:.> Stream) b -> c) -> (Tap (Delta <:.> Stream) a -> b) -> Tap (Delta <:.> Stream) a -> c

(=>=) :: (Tap (Delta <:.> Stream) a -> b) -> (Tap (Delta <:.> Stream) b -> c) -> Tap (Delta <:.> Stream) a -> c

($=>>) :: Covariant u => (Tap (Delta <:.> Stream) a -> b) -> ((u :. Tap (Delta <:.> Stream)) := a) -> (u :. Tap (Delta <:.> Stream)) := b

(<<=$) :: Covariant u => ((u :. Tap (Delta <:.> Stream)) := a) -> (Tap (Delta <:.> Stream) a -> b) -> (u :. Tap (Delta <:.> Stream)) := b

Covariant t => Extendable (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(=>>) :: Construction t a -> (Construction t a -> b) -> Construction t b

(<<=) :: (Construction t a -> b) -> Construction t a -> Construction t b

extend :: (Construction t a -> b) -> Construction t a -> Construction t b

duplicate :: Construction t a -> (Construction t :. Construction t) := a

(=<=) :: (Construction t b -> c) -> (Construction t a -> b) -> Construction t a -> c

(=>=) :: (Construction t a -> b) -> (Construction t b -> c) -> Construction t a -> c

($=>>) :: Covariant u => (Construction t a -> b) -> ((u :. Construction t) := a) -> (u :. Construction t) := b

(<<=$) :: Covariant u => ((u :. Construction t) := a) -> (Construction t a -> b) -> (u :. Construction t) := b

Avoidable t => Pointable (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

point :: a |-> Construction t

(Avoidable t, Alternative t) => Monad (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(>>=-) :: Construction t a -> Construction t b -> Construction t a

(->>=) :: Construction t a -> Construction t b -> Construction t b

(-=<<) :: Construction t a -> Construction t b -> Construction t b

(=<<-) :: Construction t a -> Construction t b -> Construction t a

Traversable t => Traversable (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(->>) :: (Pointable u, Applicative u) => Construction t a -> (a -> u b) -> (u :. Construction t) := b

traverse :: (Pointable u, Applicative u) => (a -> u b) -> Construction t a -> (u :. Construction t) := b

sequence :: (Pointable u, Applicative u) => ((Construction t :. u) := a) -> (u :. Construction t) := a

(->>>) :: (Pointable u, Applicative u, Traversable v) => ((v :. Construction t) := a) -> (a -> u b) -> (u :. (v :. Construction t)) := b

(->>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w) => ((w :. (v :. Construction t)) := a) -> (a -> u b) -> (u :. (w :. (v :. Construction t))) := b

(->>>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w, Traversable j) => ((j :. (w :. (v :. Construction t))) := a) -> (a -> u b) -> (u :. (j :. (w :. (v :. Construction t)))) := b

Semigroup (Stack a)

Defined in Pandora.Paradigm.Structure.Stack

Methods

(+) :: Stack a -> Stack a -> Stack a

Monoid (Stack a)

Defined in Pandora.Paradigm.Structure.Stack

Methods

zero :: Stack a

Covariant t => Extractable (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

extract :: a <-| Construction t

Covariant t => Comonad (Construction t)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Setoid a => Setoid (Stack a)

Defined in Pandora.Paradigm.Structure.Stack

Methods

(==) :: Stack a -> Stack a -> Boolean

(/=) :: Stack a -> Stack a -> Boolean

Hoistable Construction

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

hoist :: forall (u :: Type -> Type) (v :: Type -> Type). Covariant u => (u ~> v) -> Construction u ~> Construction v

Substructure ('Left :: Type -> Wye Type) Binary

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Substructural 'Left Binary a

Methods

substructure :: Tagged 'Left (Binary a) :-. Substructural 'Left Binary a

Substructure ('Right :: Type -> Wye Type) Binary

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Substructural 'Right Binary a

Methods

substructure :: Tagged 'Right (Binary a) :-. Substructural 'Right Binary a

Substructure ('Just :: Type -> Maybe Type) Rose

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Substructural 'Just Rose a

Methods

substructure :: Tagged 'Just (Rose a) :-. Substructural 'Just Rose a

Focusable ('Root :: Type -> Location Type) Rose

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Focusing 'Root Rose a

Methods

focusing :: Tagged 'Root (Rose a) :-. Focusing 'Root Rose a

(forall a. Chain a) => Focusable ('Root :: Type -> Location Type) Binary

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Focusing 'Root Binary a

Methods

focusing :: Tagged 'Root (Binary a) :-. Focusing 'Root Binary a

Focusable ('Head :: Type -> Location Type) Stack

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Focusing 'Head Stack a

Methods

focusing :: Tagged 'Head (Stack a) :-. Focusing 'Head Stack a

Substructure ('Left :: Type -> Wye Type) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Substructural 'Left (Construction Wye) a

Methods

substructure :: Tagged 'Left (Construction Wye a) :-. Substructural 'Left (Construction Wye) a

Substructure ('Right :: Type -> Wye Type) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Substructural 'Right (Construction Wye) a

Methods

substructure :: Tagged 'Right (Construction Wye a) :-. Substructural 'Right (Construction Wye) a

Substructure ('Just :: Type -> Maybe Type) (Construction Stack)

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Substructural 'Just (Construction Stack) a

Methods

substructure :: Tagged 'Just (Construction Stack a) :-. Substructural 'Just (Construction Stack) a

Focusable ('Root :: Type -> Location Type) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Focusing 'Root (Construction Wye) a

Methods

focusing :: Tagged 'Root (Construction Wye a) :-. Focusing 'Root (Construction Wye) a

Focusable ('Root :: Type -> Location Type) (Construction Stack)

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Focusing 'Root (Construction Stack) a

Methods

focusing :: Tagged 'Root (Construction Stack a) :-. Focusing 'Root (Construction Stack) a

Focusable ('Head :: Type -> Location Type) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Focusing 'Head (Construction Maybe) a

Methods

focusing :: Tagged 'Head (Construction Maybe a) :-. Focusing 'Head (Construction Maybe) a

Rotatable ('Right ('Zig :: a -> Splay a) :: Wye (a -> Splay a)) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Splay

Associated Types

type Rotational ('Right 'Zig) (Construction Wye) a

Methods

rotation :: Tagged ('Right 'Zig) (Construction Wye a0) -> Rotational ('Right 'Zig) (Construction Wye) a0

Rotatable ('Left ('Zig :: a -> Splay a) :: Wye (a -> Splay a)) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Splay

Associated Types

type Rotational ('Left 'Zig) (Construction Wye) a

Methods

rotation :: Tagged ('Left 'Zig) (Construction Wye a0) -> Rotational ('Left 'Zig) (Construction Wye) a0

Rotatable ('Right ('Zig ('Zag :: a -> Splay a)) :: Wye (Splay (a -> Splay a))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Splay

Associated Types

type Rotational ('Right ('Zig 'Zag)) (Construction Wye) a

Methods

rotation :: Tagged ('Right ('Zig 'Zag)) (Construction Wye a0) -> Rotational ('Right ('Zig 'Zag)) (Construction Wye) a0

Rotatable ('Left ('Zig ('Zag :: a -> Splay a)) :: Wye (Splay (a -> Splay a))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Splay

Associated Types

type Rotational ('Left ('Zig 'Zag)) (Construction Wye) a

Methods

rotation :: Tagged ('Left ('Zig 'Zag)) (Construction Wye a0) -> Rotational ('Left ('Zig 'Zag)) (Construction Wye) a0

Rotatable ('Right ('Zig ('Zig :: a -> Splay a)) :: Wye (Splay (a -> Splay a))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Splay

Associated Types

type Rotational ('Right ('Zig 'Zig)) (Construction Wye) a

Methods

rotation :: Tagged ('Right ('Zig 'Zig)) (Construction Wye a0) -> Rotational ('Right ('Zig 'Zig)) (Construction Wye) a0

Rotatable ('Left ('Zig ('Zig :: a -> Splay a)) :: Wye (Splay (a -> Splay a))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Splay

Associated Types

type Rotational ('Left ('Zig 'Zig)) (Construction Wye) a

Methods

rotation :: Tagged ('Left ('Zig 'Zig)) (Construction Wye a0) -> Rotational ('Left ('Zig 'Zig)) (Construction Wye) a0

Rotatable ('Down ('Right :: a -> Wye a) :: Direction (a -> Wye a)) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Rotational ('Down 'Right) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a

Methods

rotation :: Tagged ('Down 'Right) ((Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a0) -> Rotational ('Down 'Right) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a0

Rotatable ('Down ('Left :: a -> Wye a) :: Direction (a -> Wye a)) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Rotational ('Down 'Left) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a

Methods

rotation :: Tagged ('Down 'Left) ((Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a0) -> Rotational ('Down 'Left) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a0

(Semigroup a, forall b. Semigroup b => Semigroup (t b), Covariant t) => Semigroup (Construction t a)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(+) :: Construction t a -> Construction t a -> Construction t a

(Monoid a, forall b. Semigroup b => Monoid (t b), Covariant t) => Monoid (Construction t a)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

zero :: Construction t a

(Setoid a, forall b. Setoid b => Setoid (t b), Covariant t) => Setoid (Construction t a)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(==) :: Construction t a -> Construction t a -> Boolean

(/=) :: Construction t a -> Construction t a -> Boolean

Monotonic (Construction Maybe a) a

Defined in Pandora.Paradigm.Structure.Stack

Methods

reduce :: (a -> r -> r) -> r -> Construction Maybe a -> r

resolve :: (a -> r) -> r -> Construction Maybe a -> r

Rotatable ('Right :: a -> Wye a) (Tap (Delta <:.> Stream))

Defined in Pandora.Paradigm.Structure.Stream

Associated Types

type Rotational 'Right (Tap (Delta <:.> Stream)) a

Methods

rotation :: Tagged 'Right (Tap (Delta <:.> Stream) a0) -> Rotational 'Right (Tap (Delta <:.> Stream)) a0

Rotatable ('Left :: a -> Wye a) (Tap (Delta <:.> Stream))

Defined in Pandora.Paradigm.Structure.Stream

Associated Types

type Rotational 'Left (Tap (Delta <:.> Stream)) a

Methods

rotation :: Tagged 'Left (Tap (Delta <:.> Stream) a0) -> Rotational 'Left (Tap (Delta <:.> Stream)) a0

Rotatable ('Right :: a -> Wye a) (Tap (Delta <:.> Construction Maybe))

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Rotational 'Right (Tap (Delta <:.> Construction Maybe)) a

Methods

rotation :: Tagged 'Right (Tap (Delta <:.> Construction Maybe) a0) -> Rotational 'Right (Tap (Delta <:.> Construction Maybe)) a0

Rotatable ('Left :: a -> Wye a) (Tap (Delta <:.> Construction Maybe))

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Rotational 'Left (Tap (Delta <:.> Construction Maybe)) a

Methods

rotation :: Tagged 'Left (Tap (Delta <:.> Construction Maybe) a0) -> Rotational 'Left (Tap (Delta <:.> Construction Maybe)) a0

Rotatable ('Right :: a -> Wye a) (Tap (Delta <:.> Stack))

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Rotational 'Right (Tap (Delta <:.> Stack)) a

Methods

rotation :: Tagged 'Right (Tap (Delta <:.> Stack) a0) -> Rotational 'Right (Tap (Delta <:.> Stack)) a0

Rotatable ('Left :: a -> Wye a) (Tap (Delta <:.> Stack))

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Rotational 'Left (Tap (Delta <:.> Stack)) a

Methods

rotation :: Tagged 'Left (Tap (Delta <:.> Stack) a0) -> Rotational 'Left (Tap (Delta <:.> Stack)) a0

Rotatable ('Up :: a -> Direction a) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Rotational 'Up (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a

Methods

rotation :: Tagged 'Up ((Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a0) -> Rotational 'Up (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a0

(Covariant u, Covariant t) => Covariant (t <:.> Construction u)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(<$>) :: (a -> b) -> (t <:.> Construction u) a -> (t <:.> Construction u) b

comap :: (a -> b) -> (t <:.> Construction u) a -> (t <:.> Construction u) b

(<$) :: a -> (t <:.> Construction u) b -> (t <:.> Construction u) a

($>) :: (t <:.> Construction u) a -> b -> (t <:.> Construction u) b

void :: (t <:.> Construction u) a -> (t <:.> Construction u) ()

loeb :: (t <:.> Construction u) (a <-| (t <:.> Construction u)) -> (t <:.> Construction u) a

(<&>) :: (t <:.> Construction u) a -> (a -> b) -> (t <:.> Construction u) b

(<$$>) :: Covariant u0 => (a -> b) -> (((t <:.> Construction u) :. u0) := a) -> ((t <:.> Construction u) :. u0) := b

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

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

(<&&>) :: Covariant u0 => (((t <:.> Construction u) :. u0) := a) -> (a -> b) -> ((t <:.> Construction u) :. u0) := b

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

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

(Applicative u, Applicative t) => Applicative (t <:.> Construction u)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(<*>) :: (t <:.> Construction u) (a -> b) -> (t <:.> Construction u) a -> (t <:.> Construction u) b

apply :: (t <:.> Construction u) (a -> b) -> (t <:.> Construction u) a -> (t <:.> Construction u) b

(*>) :: (t <:.> Construction u) a -> (t <:.> Construction u) b -> (t <:.> Construction u) b

(<*) :: (t <:.> Construction u) a -> (t <:.> Construction u) b -> (t <:.> Construction u) a

forever :: (t <:.> Construction u) a -> (t <:.> Construction u) b

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

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

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

(Covariant u, Alternative t) => Alternative (t <:.> Construction u)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(<+>) :: (t <:.> Construction u) a -> (t <:.> Construction u) a -> (t <:.> Construction u) a

alter :: (t <:.> Construction u) a -> (t <:.> Construction u) a -> (t <:.> Construction u) a

(Covariant u, Avoidable t) => Avoidable (t <:.> Construction u)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

empty :: (t <:.> Construction u) a

(Avoidable u, Pointable t) => Pointable (t <:.> Construction u)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

point :: a |-> (t <:.> Construction u)

(Traversable u, Traversable t) => Traversable (t <:.> Construction u)

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(->>) :: (Pointable u0, Applicative u0) => (t <:.> Construction u) a -> (a -> u0 b) -> (u0 :. (t <:.> Construction u)) := b

traverse :: (Pointable u0, Applicative u0) => (a -> u0 b) -> (t <:.> Construction u) a -> (u0 :. (t <:.> Construction u)) := b

sequence :: (Pointable u0, Applicative u0) => (((t <:.> Construction u) :. u0) := a) -> (u0 :. (t <:.> Construction u)) := a

(->>>) :: (Pointable u0, Applicative u0, Traversable v) => ((v :. (t <:.> Construction u)) := a) -> (a -> u0 b) -> (u0 :. (v :. (t <:.> Construction u))) := b

(->>>>) :: (Pointable u0, Applicative u0, Traversable v, Traversable w) => ((w :. (v :. (t <:.> Construction u))) := a) -> (a -> u0 b) -> (u0 :. (w :. (v :. (t <:.> Construction u)))) := b

(->>>>>) :: (Pointable u0, Applicative u0, Traversable v, Traversable w, Traversable j) => ((j :. (w :. (v :. (t <:.> Construction u)))) := a) -> (a -> u0 b) -> (u0 :. (j :. (w :. (v :. (t <:.> Construction u))))) := b

Monotonic ((Maybe <:.> Construction Maybe) := a) a

Defined in Pandora.Paradigm.Structure.Stack

Methods

reduce :: (a -> r -> r) -> r -> ((Maybe <:.> Construction Maybe) := a) -> r

resolve :: (a -> r) -> r -> ((Maybe <:.> Construction Maybe) := a) -> r

type Nonempty Stack

Defined in Pandora.Paradigm.Structure.Stack

type Nonempty Stack = Construction Maybe

type Nonempty Rose

Defined in Pandora.Paradigm.Structure.Rose

type Nonempty Rose = Construction Stack

type Nonempty Binary

Defined in Pandora.Paradigm.Structure.Binary

type Nonempty Binary = Construction Wye

type Zipper Stream

Defined in Pandora.Paradigm.Structure.Stream

type Zipper Stream = Tap (Delta <:.> Stream)

type Zipper Stack

Defined in Pandora.Paradigm.Structure.Stack

type Zipper Stack = Tap (Delta <:.> Stack)

type Zipper (Construction Wye)

Defined in Pandora.Paradigm.Structure.Binary

type Zipper (Construction Wye) = Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))

type Zipper (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Stack

type Zipper (Construction Maybe) = Tap (Delta <:.> Construction Maybe)

type Substructural ('Left :: Type -> Wye Type) Binary a

Defined in Pandora.Paradigm.Structure.Binary

type Substructural ('Left :: Type -> Wye Type) Binary a = Binary a

type Substructural ('Right :: Type -> Wye Type) Binary a

Defined in Pandora.Paradigm.Structure.Binary

type Substructural ('Right :: Type -> Wye Type) Binary a = Binary a

type Substructural ('Just :: Type -> Maybe Type) Rose a

Defined in Pandora.Paradigm.Structure.Rose

type Substructural ('Just :: Type -> Maybe Type) Rose a = (Stack :. Construction Stack) := a

type Focusing ('Root :: Type -> Location Type) Rose a

Defined in Pandora.Paradigm.Structure.Rose

type Focusing ('Root :: Type -> Location Type) Rose a = Maybe a

type Focusing ('Root :: Type -> Location Type) Binary a

Defined in Pandora.Paradigm.Structure.Binary

type Focusing ('Root :: Type -> Location Type) Binary a = Maybe a

type Focusing ('Head :: Type -> Location Type) Stack a

Defined in Pandora.Paradigm.Structure.Stack

type Focusing ('Head :: Type -> Location Type) Stack a = Maybe a

type Substructural ('Left :: Type -> Wye Type) (Construction Wye) a

Defined in Pandora.Paradigm.Structure.Binary

type Substructural ('Left :: Type -> Wye Type) (Construction Wye) a = (Maybe :. Construction Wye) := a

type Substructural ('Right :: Type -> Wye Type) (Construction Wye) a

Defined in Pandora.Paradigm.Structure.Binary

type Substructural ('Right :: Type -> Wye Type) (Construction Wye) a = (Maybe :. Construction Wye) := a

type Substructural ('Just :: Type -> Maybe Type) (Construction Stack) a

Defined in Pandora.Paradigm.Structure.Rose

type Substructural ('Just :: Type -> Maybe Type) (Construction Stack) a = (Stack :. Construction Stack) := a

type Focusing ('Root :: Type -> Location Type) (Construction Wye) a

Defined in Pandora.Paradigm.Structure.Binary

type Focusing ('Root :: Type -> Location Type) (Construction Wye) a = a

type Focusing ('Root :: Type -> Location Type) (Construction Stack) a

Defined in Pandora.Paradigm.Structure.Rose

type Focusing ('Root :: Type -> Location Type) (Construction Stack) a = a

type Focusing ('Head :: Type -> Location Type) (Construction Maybe) a

Defined in Pandora.Paradigm.Structure.Stack

type Focusing ('Head :: Type -> Location Type) (Construction Maybe) a = a

type Rotational ('Right ('Zig :: a1 -> Splay a1) :: Wye (a1 -> Splay a1)) (Construction Wye) a2

Defined in Pandora.Paradigm.Structure.Splay

type Rotational ('Right ('Zig :: a1 -> Splay a1) :: Wye (a1 -> Splay a1)) (Construction Wye) a2 = Maybe (Construction Wye a2)

type Rotational ('Left ('Zig :: a1 -> Splay a1) :: Wye (a1 -> Splay a1)) (Construction Wye) a2

Defined in Pandora.Paradigm.Structure.Splay

type Rotational ('Left ('Zig :: a1 -> Splay a1) :: Wye (a1 -> Splay a1)) (Construction Wye) a2 = Maybe (Construction Wye a2)

type Rotational ('Right ('Zig ('Zag :: a1 -> Splay a1)) :: Wye (Splay (a1 -> Splay a1))) (Construction Wye) a2

Defined in Pandora.Paradigm.Structure.Splay

type Rotational ('Right ('Zig ('Zag :: a1 -> Splay a1)) :: Wye (Splay (a1 -> Splay a1))) (Construction Wye) a2 = Maybe (Construction Wye a2)

type Rotational ('Left ('Zig ('Zag :: a1 -> Splay a1)) :: Wye (Splay (a1 -> Splay a1))) (Construction Wye) a2

Defined in Pandora.Paradigm.Structure.Splay

type Rotational ('Left ('Zig ('Zag :: a1 -> Splay a1)) :: Wye (Splay (a1 -> Splay a1))) (Construction Wye) a2 = Maybe (Construction Wye a2)

type Rotational ('Right ('Zig ('Zig :: a1 -> Splay a1)) :: Wye (Splay (a1 -> Splay a1))) (Construction Wye) a2

Defined in Pandora.Paradigm.Structure.Splay

type Rotational ('Right ('Zig ('Zig :: a1 -> Splay a1)) :: Wye (Splay (a1 -> Splay a1))) (Construction Wye) a2 = Maybe (Construction Wye a2)

type Rotational ('Left ('Zig ('Zig :: a1 -> Splay a1)) :: Wye (Splay (a1 -> Splay a1))) (Construction Wye) a2

Defined in Pandora.Paradigm.Structure.Splay

type Rotational ('Left ('Zig ('Zig :: a1 -> Splay a1)) :: Wye (Splay (a1 -> Splay a1))) (Construction Wye) a2 = Maybe (Construction Wye a2)

type Rotational ('Down ('Right :: a1 -> Wye a1) :: Direction (a1 -> Wye a1)) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a2

Defined in Pandora.Paradigm.Structure.Binary

type Rotational ('Down ('Right :: a1 -> Wye a1) :: Direction (a1 -> Wye a1)) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a2 = (Maybe :. (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))) := a2

type Rotational ('Down ('Left :: a1 -> Wye a1) :: Direction (a1 -> Wye a1)) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a2

Defined in Pandora.Paradigm.Structure.Binary

type Rotational ('Down ('Left :: a1 -> Wye a1) :: Direction (a1 -> Wye a1)) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a2 = (Maybe :. (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))) := a2

type Rotational ('Right :: a1 -> Wye a1) (Tap (Delta <:.> Stream)) a2

Defined in Pandora.Paradigm.Structure.Stream

type Rotational ('Right :: a1 -> Wye a1) (Tap (Delta <:.> Stream)) a2 = Tap (Delta <:.> Stream) a2

type Rotational ('Left :: a1 -> Wye a1) (Tap (Delta <:.> Stream)) a2

Defined in Pandora.Paradigm.Structure.Stream

type Rotational ('Left :: a1 -> Wye a1) (Tap (Delta <:.> Stream)) a2 = Tap (Delta <:.> Stream) a2

type Rotational ('Right :: a1 -> Wye a1) (Tap (Delta <:.> Construction Maybe)) a2

Defined in Pandora.Paradigm.Structure.Stack

type Rotational ('Right :: a1 -> Wye a1) (Tap (Delta <:.> Construction Maybe)) a2 = (Maybe :. Zipper (Construction Maybe)) := a2

type Rotational ('Left :: a1 -> Wye a1) (Tap (Delta <:.> Construction Maybe)) a2

Defined in Pandora.Paradigm.Structure.Stack

type Rotational ('Left :: a1 -> Wye a1) (Tap (Delta <:.> Construction Maybe)) a2 = (Maybe :. Zipper (Construction Maybe)) := a2

type Rotational ('Right :: a1 -> Wye a1) (Tap (Delta <:.> Stack)) a2

Defined in Pandora.Paradigm.Structure.Stack

type Rotational ('Right :: a1 -> Wye a1) (Tap (Delta <:.> Stack)) a2 = (Maybe :. Zipper Stack) := a2

type Rotational ('Left :: a1 -> Wye a1) (Tap (Delta <:.> Stack)) a2

Defined in Pandora.Paradigm.Structure.Stack

type Rotational ('Left :: a1 -> Wye a1) (Tap (Delta <:.> Stack)) a2 = (Maybe :. Zipper Stack) := a2

type Rotational ('Up :: a1 -> Direction a1) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a2

Defined in Pandora.Paradigm.Structure.Binary

type Rotational ('Up :: a1 -> Direction a1) (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye))) a2 = (Maybe :. (Construction Wye <:.:> ((Biforked <:.> Construction Biforked) <:.> T_ Covariant (Maybe <:.> Construction Wye)))) := a2

deconstruct :: Construction t a -> (t :. Construction t) a

(.-+) :: Covariant t => (a |-> t) -> a |-> Construction t infixr 7

section :: Comonad t => t ~> Construction t