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.Some.Stack

Methods

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

(forall a. Chain a) => Insertable Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Methods

(+=) :: a -> Binary a -> Binary a

Deletable Stack

Defined in Pandora.Paradigm.Structure.Some.Stack

Methods

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

Lowerable Construction

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

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

Measurable 'Length Stack

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

type Measural 'Length Stack a

Methods

measurement :: Tagged 'Length (Stack a) -> Measural 'Length Stack a

Measurable 'Heighth Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Measural 'Heighth Binary a

Methods

measurement :: Tagged 'Heighth (Binary a) -> Measural 'Heighth Binary a

Measurable 'Length (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

type Measural 'Length (Construction Maybe) a

Methods

measurement :: Tagged 'Length (Construction Maybe a) -> Measural 'Length (Construction Maybe) a

Measurable 'Heighth (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Measural 'Heighth (Construction Wye) a

Methods

measurement :: Tagged 'Heighth (Construction Wye a) -> Measural 'Heighth (Construction Wye) a

Monotonic a (Construction Maybe a)

Defined in Pandora.Paradigm.Structure.Some.Stack

Methods

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

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

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

Defined in Pandora.Paradigm.Structure.Some.Stack

Methods

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

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Methods

(+=) :: a -> Construction Wye a -> Construction Wye a

Insertable (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.Stack

Methods

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

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 ((:*:) <:.:> Stream))

Defined in Pandora.Paradigm.Structure.Some.Stream

Methods

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

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

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

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

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

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

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

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

Extendable (Tap ((:*:) <:.:> Stack))

Defined in Pandora.Paradigm.Structure.Some.Stack

Methods

(=>>) :: Tap ((:*:) <:.:> Stack) a -> (Tap ((:*:) <:.:> Stack) a -> b) -> Tap ((:*:) <:.:> Stack) b

(<<=) :: (Tap ((:*:) <:.:> Stack) a -> b) -> Tap ((:*:) <:.:> Stack) a -> Tap ((:*:) <:.:> Stack) b

extend :: (Tap ((:*:) <:.:> Stack) a -> b) -> Tap ((:*:) <:.:> Stack) a -> Tap ((:*:) <:.:> Stack) b

duplicate :: Tap ((:*:) <:.:> Stack) a -> (Tap ((:*:) <:.:> Stack) :. Tap ((:*:) <:.:> Stack)) := a

(=<=) :: (Tap ((:*:) <:.:> Stack) b -> c) -> (Tap ((:*:) <:.:> Stack) a -> b) -> Tap ((:*:) <:.:> Stack) a -> c

(=>=) :: (Tap ((:*:) <:.:> Stack) a -> b) -> (Tap ((:*:) <:.:> Stack) b -> c) -> Tap ((:*:) <:.:> Stack) a -> c

($=>>) :: Covariant u => ((u :. Tap ((:*:) <:.:> Stack)) := a) -> (Tap ((:*:) <:.:> Stack) a -> b) -> (u :. Tap ((:*:) <:.:> Stack)) := b

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

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

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

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.Some.Stack

Methods

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

Monoid (Stack a)

Defined in Pandora.Paradigm.Structure.Some.Stack

Methods

zero :: Stack a

Setoid a => Setoid (Stack a)

Defined in Pandora.Paradigm.Structure.Some.Stack

Methods

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

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

Nullable Stack

Defined in Pandora.Paradigm.Structure.Some.Stack

Methods

null :: forall (a :: k). (Predicate :. Stack) := a

Nullable Rose

Defined in Pandora.Paradigm.Structure.Some.Rose

Methods

null :: forall (a :: k). (Predicate :. Rose) := a

Nullable Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

Methods

null :: forall (a :: k). (Predicate :. Binary) := a

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

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

Defined in Pandora.Paradigm.Structure.Some.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.Some.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.Some.Stack

Associated Types

type Focusing 'Head Stack a

Methods

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

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

Defined in Pandora.Paradigm.Structure.Some.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.Some.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.Some.Stack

Associated Types

type Focusing 'Head (Construction Maybe) a

Methods

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

Morphable ('Into (o ds)) (Construction Wye) => Morphable ('Into (o ds) :: Morph a) Binary

Defined in Pandora.Paradigm.Structure

Associated Types

type Morphing ('Into (o ds)) Binary :: Type -> Type

Methods

morphing :: (Tagged ('Into (o ds)) <:.> Binary) ~> Morphing ('Into (o ds)) Binary

Morphable ('Into Stack) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

type Morphing ('Into Stack) (Construction Maybe) :: Type -> Type

Methods

morphing :: (Tagged ('Into Stack) <:.> Construction Maybe) ~> Morphing ('Into Stack) (Construction Maybe)

Morphable ('Into Binary) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Into Binary) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Into Binary) <:.> Construction Wye) ~> Morphing ('Into Binary) (Construction Wye)

Morphable ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stream))

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

type Morphing ('Rotate 'Right) (Tap ((:*:) <:.:> Stream)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Right) <:.> Tap ((:*:) <:.:> Stream)) ~> Morphing ('Rotate 'Right) (Tap ((:*:) <:.:> Stream))

Morphable ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stream))

Defined in Pandora.Paradigm.Structure.Some.Stream

Associated Types

type Morphing ('Rotate 'Left) (Tap ((:*:) <:.:> Stream)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Left) <:.> Tap ((:*:) <:.:> Stream)) ~> Morphing ('Rotate 'Left) (Tap ((:*:) <:.:> Stream))

Morphable ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Construction Maybe))

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

type Morphing ('Rotate 'Right) (Tap ((:*:) <:.:> Construction Maybe)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Right) <:.> Tap ((:*:) <:.:> Construction Maybe)) ~> Morphing ('Rotate 'Right) (Tap ((:*:) <:.:> Construction Maybe))

Morphable ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Construction Maybe))

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

type Morphing ('Rotate 'Left) (Tap ((:*:) <:.:> Construction Maybe)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Left) <:.> Tap ((:*:) <:.:> Construction Maybe)) ~> Morphing ('Rotate 'Left) (Tap ((:*:) <:.:> Construction Maybe))

Morphable ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack))

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

type Morphing ('Rotate 'Right) (Tap ((:*:) <:.:> Stack)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Right) <:.> Tap ((:*:) <:.:> Stack)) ~> Morphing ('Rotate 'Right) (Tap ((:*:) <:.:> Stack))

Morphable ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack))

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

type Morphing ('Rotate 'Left) (Tap ((:*:) <:.:> Stack)) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Left) <:.> Tap ((:*:) <:.:> Stack)) ~> Morphing ('Rotate 'Left) (Tap ((:*:) <:.:> Stack))

Morphable ('Rotate ('Right ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Right 'Zig)) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Right 'Zig)) <:.> Construction Wye) ~> Morphing ('Rotate ('Right 'Zig)) (Construction Wye)

Morphable ('Rotate ('Left ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Left 'Zig)) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Left 'Zig)) <:.> Construction Wye) ~> Morphing ('Rotate ('Left 'Zig)) (Construction Wye)

Morphable ('Rotate ('Right ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Right ('Zig 'Zag))) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Right ('Zig 'Zag))) <:.> Construction Wye) ~> Morphing ('Rotate ('Right ('Zig 'Zag))) (Construction Wye)

Morphable ('Rotate ('Left ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Left ('Zig 'Zag))) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Left ('Zig 'Zag))) <:.> Construction Wye) ~> Morphing ('Rotate ('Left ('Zig 'Zag))) (Construction Wye)

Morphable ('Rotate ('Right ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Right ('Zig 'Zig))) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Right ('Zig 'Zig))) <:.> Construction Wye) ~> Morphing ('Rotate ('Right ('Zig 'Zig))) (Construction Wye)

Morphable ('Rotate ('Left ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

Associated Types

type Morphing ('Rotate ('Left ('Zig 'Zig))) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Left ('Zig 'Zig))) <:.> Construction Wye) ~> Morphing ('Rotate ('Left ('Zig 'Zig))) (Construction Wye)

Morphable ('Into ('Preorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

type Morphing ('Into ('Preorder (Construction Maybe))) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('Preorder (Construction Maybe))) <:.> Construction Wye) ~> Morphing ('Into ('Preorder (Construction Maybe))) (Construction Wye)

Morphable ('Into ('Inorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

type Morphing ('Into ('Inorder (Construction Maybe))) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('Inorder (Construction Maybe))) <:.> Construction Wye) ~> Morphing ('Into ('Inorder (Construction Maybe))) (Construction Wye)

Morphable ('Into ('Postorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

Associated Types

type Morphing ('Into ('Postorder (Construction Maybe))) (Construction Wye) :: Type -> Type

Methods

morphing :: (Tagged ('Into ('Postorder (Construction Maybe))) <:.> Construction Wye) ~> Morphing ('Into ('Postorder (Construction Maybe))) (Construction Wye)

Morphable ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate 'Up) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate 'Up) <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))) ~> Morphing ('Rotate 'Up) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye)))

Morphable ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate ('Down 'Right)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Down 'Right)) <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))) ~> Morphing ('Rotate ('Down 'Right)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye)))

Morphable ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Morphing ('Rotate ('Down 'Left)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))) :: Type -> Type

Methods

morphing :: (Tagged ('Rotate ('Down 'Left)) <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))) ~> Morphing ('Rotate ('Down 'Left)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye)))

(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

Semigroup (Construction Maybe a)

Defined in Pandora.Paradigm.Structure.Some.Stack

Methods

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

Substructure ('Tail :: a -> Segment a) Stack

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

type Substructural 'Tail Stack :: Type -> Type

Methods

substructure :: (Tagged 'Tail <:.> Stack) :~. Substructural 'Tail Stack

sub :: Stack :~. Substructural 'Tail Stack

subview :: Stack ~> Substructural 'Tail Stack

substitute :: (Substructural 'Tail Stack a0 -> Substructural 'Tail Stack a0) -> Stack a0 -> Stack a0

subplace :: Substructural 'Tail Stack a0 -> Stack a0 -> Stack a0

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

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

type Substructural 'Just Rose :: Type -> Type

Methods

substructure :: (Tagged 'Just <:.> Rose) :~. Substructural 'Just Rose

sub :: Rose :~. Substructural 'Just Rose

subview :: Rose ~> Substructural 'Just Rose

substitute :: (Substructural 'Just Rose a0 -> Substructural 'Just Rose a0) -> Rose a0 -> Rose a0

subplace :: Substructural 'Just Rose a0 -> Rose a0 -> Rose a0

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Substructural 'Right Binary :: Type -> Type

Methods

substructure :: (Tagged 'Right <:.> Binary) :~. Substructural 'Right Binary

sub :: Binary :~. Substructural 'Right Binary

subview :: Binary ~> Substructural 'Right Binary

substitute :: (Substructural 'Right Binary a0 -> Substructural 'Right Binary a0) -> Binary a0 -> Binary a0

subplace :: Substructural 'Right Binary a0 -> Binary a0 -> Binary a0

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

type Substructural 'Left Binary :: Type -> Type

Methods

substructure :: (Tagged 'Left <:.> Binary) :~. Substructural 'Left Binary

sub :: Binary :~. Substructural 'Left Binary

subview :: Binary ~> Substructural 'Left Binary

substitute :: (Substructural 'Left Binary a0 -> Substructural 'Left Binary a0) -> Binary a0 -> Binary a0

subplace :: Substructural 'Left Binary a0 -> Binary a0 -> Binary a0

Substructure ('Tail :: a -> Segment a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.Stack

Associated Types

type Substructural 'Tail (Construction Maybe) :: Type -> Type

Methods

substructure :: (Tagged 'Tail <:.> Construction Maybe) :~. Substructural 'Tail (Construction Maybe)

sub :: Construction Maybe :~. Substructural 'Tail (Construction Maybe)

subview :: Construction Maybe ~> Substructural 'Tail (Construction Maybe)

substitute :: (Substructural 'Tail (Construction Maybe) a0 -> Substructural 'Tail (Construction Maybe) a0) -> Construction Maybe a0 -> Construction Maybe a0

subplace :: Substructural 'Tail (Construction Maybe) a0 -> Construction Maybe a0 -> Construction Maybe a0

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

Defined in Pandora.Paradigm.Structure.Some.Rose

Associated Types

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

Methods

substructure :: (Tagged 'Just <:.> Construction Stack) :~. Substructural 'Just (Construction Stack)

sub :: Construction Stack :~. Substructural 'Just (Construction Stack)

subview :: Construction Stack ~> Substructural 'Just (Construction Stack)

substitute :: (Substructural 'Just (Construction Stack) a0 -> Substructural 'Just (Construction Stack) a0) -> Construction Stack a0 -> Construction Stack a0

subplace :: Substructural 'Just (Construction Stack) a0 -> Construction Stack a0 -> Construction Stack a0

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

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

Methods

substructure :: (Tagged 'Right <:.> Construction Wye) :~. Substructural 'Right (Construction Wye)

sub :: Construction Wye :~. Substructural 'Right (Construction Wye)

subview :: Construction Wye ~> Substructural 'Right (Construction Wye)

substitute :: (Substructural 'Right (Construction Wye) a0 -> Substructural 'Right (Construction Wye) a0) -> Construction Wye a0 -> Construction Wye a0

subplace :: Substructural 'Right (Construction Wye) a0 -> Construction Wye a0 -> Construction Wye a0

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

Defined in Pandora.Paradigm.Structure.Some.Binary

Associated Types

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

Methods

substructure :: (Tagged 'Left <:.> Construction Wye) :~. Substructural 'Left (Construction Wye)

sub :: Construction Wye :~. Substructural 'Left (Construction Wye)

subview :: Construction Wye ~> Substructural 'Left (Construction Wye)

substitute :: (Substructural 'Left (Construction Wye) a0 -> Substructural 'Left (Construction Wye) a0) -> Construction Wye a0 -> Construction Wye a0

subplace :: Substructural 'Left (Construction Wye) a0 -> Construction Wye a0 -> Construction Wye a0

type Nonempty Stack

Defined in Pandora.Paradigm.Structure.Some.Stack

type Nonempty Stack = Construction Maybe

type Nonempty Rose

Defined in Pandora.Paradigm.Structure.Some.Rose

type Nonempty Rose = Construction Stack

type Nonempty Binary

Defined in Pandora.Paradigm.Structure.Some.Binary

type Nonempty Binary = Construction Wye

type Zipper Stream

Defined in Pandora.Paradigm.Structure.Some.Stream

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

type Zipper Stack

Defined in Pandora.Paradigm.Structure.Some.Stack

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

type Measural 'Length Stack a

Defined in Pandora.Paradigm.Structure.Some.Stack

type Measural 'Length Stack a = Numerator

type Measural 'Heighth Binary a

Defined in Pandora.Paradigm.Structure.Some.Binary

type Measural 'Heighth Binary a = Numerator

type Measural 'Length (Construction Maybe) a

Defined in Pandora.Paradigm.Structure.Some.Stack

type Measural 'Length (Construction Maybe) a = Denumerator

type Measural 'Heighth (Construction Wye) a

Defined in Pandora.Paradigm.Structure.Some.Binary

type Measural 'Heighth (Construction Wye) a = Denumerator

type Zipper (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

type Zipper (Construction Wye) = T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))

type Zipper (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.Stack

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

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

Defined in Pandora.Paradigm.Structure.Some.Rose

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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

Defined in Pandora.Paradigm.Structure.Some.Stack

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

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

Defined in Pandora.Paradigm.Structure.Some.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.Some.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.Some.Stack

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

type Morphing ('Into (o ds) :: Morph a) Binary

Defined in Pandora.Paradigm.Structure

type Morphing ('Into (o ds) :: Morph a) Binary = Maybe <:.> Morphing ('Into (o ds)) (Construction Wye)

type Morphing ('Into Stack) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.Stack

type Morphing ('Into Stack) (Construction Maybe) = Stack

type Morphing ('Into Binary) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Into Binary) (Construction Wye) = Binary

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stream))

Defined in Pandora.Paradigm.Structure.Some.Stream

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stream)) = Tap ((:*:) <:.:> Stream)

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stream))

Defined in Pandora.Paradigm.Structure.Some.Stream

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stream)) = Tap ((:*:) <:.:> Stream)

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Construction Maybe))

Defined in Pandora.Paradigm.Structure.Some.Stack

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Construction Maybe)) = Maybe <:.> Zipper (Construction Maybe)

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Construction Maybe))

Defined in Pandora.Paradigm.Structure.Some.Stack

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Construction Maybe)) = Maybe <:.> Zipper (Construction Maybe)

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack))

Defined in Pandora.Paradigm.Structure.Some.Stack

type Morphing ('Rotate ('Right :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack)) = Maybe <:.> Zipper Stack

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack))

Defined in Pandora.Paradigm.Structure.Some.Stack

type Morphing ('Rotate ('Left :: a -> Wye a) :: Morph (a -> Wye a)) (Tap ((:*:) <:.:> Stack)) = Maybe <:.> Zipper Stack

type Morphing ('Rotate ('Right ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Right ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) (Construction Wye) = Binary

type Morphing ('Rotate ('Left ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Left ('Zig :: a -> Splay a)) :: Morph (Wye (a -> Splay a))) (Construction Wye) = Binary

type Morphing ('Rotate ('Right ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Right ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye) = Binary

type Morphing ('Rotate ('Left ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Left ('Zig ('Zag :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye) = Binary

type Morphing ('Rotate ('Right ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Right ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye) = Binary

type Morphing ('Rotate ('Left ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye)

Defined in Pandora.Paradigm.Structure.Some.Splay

type Morphing ('Rotate ('Left ('Zig ('Zig :: a -> Splay a))) :: Morph (Wye (Splay (a -> Splay a)))) (Construction Wye) = Binary

type Morphing ('Into ('Preorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Preorder (Construction Maybe))) (Construction Wye) = Construction Maybe

type Morphing ('Into ('Inorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Inorder (Construction Maybe))) (Construction Wye) = Construction Maybe

type Morphing ('Into ('Postorder (Construction Maybe))) (Construction Wye)

Defined in Pandora.Paradigm.Structure

type Morphing ('Into ('Postorder (Construction Maybe))) (Construction Wye) = Construction Maybe

type Morphing ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Up :: a -> Vertical a) :: Morph (a -> Vertical a)) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))) = Maybe <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))

type Morphing ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Down ('Right :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))) = Maybe <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))

type Morphing ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye)))

Defined in Pandora.Paradigm.Structure.Some.Binary

type Morphing ('Rotate ('Down ('Left :: a -> Wye a)) :: Morph (Vertical (a -> Wye a))) (T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))) = Maybe <:.> T_U Covariant Covariant (Construction Wye) (:*:) ((Biforked <:.> Construction Biforked) <:.> T_U Covariant Covariant Identity (:*:) (Maybe <:.> Construction Wye))

type Substructural ('Tail :: a -> Segment a) Stack

Defined in Pandora.Paradigm.Structure.Some.Stack

type Substructural ('Tail :: a -> Segment a) Stack = Stack

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

Defined in Pandora.Paradigm.Structure.Some.Rose

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

type Substructural ('Tail :: a -> Segment a) (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Some.Stack

type Substructural ('Tail :: a -> Segment a) (Construction Maybe) = Stack

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

Defined in Pandora.Paradigm.Structure.Some.Rose

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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

Defined in Pandora.Paradigm.Structure.Some.Binary

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

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

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

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