Pandora.Paradigm.Structure.Binary

Documentation

type Binary = Maybe <:.> Construction Wye

rebalance :: Chain a => ((Wye :. Construction Wye) := a) -> Nonempty Binary a

can_be_empty :: Maybe (Construction Wye a) :-. Binary a

data Biforked a

Constructors

Top

Leftward a

Rightward a

Instances

Rotatable ('Down ('Right :: a -> Wye a) :: Vertical (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) :: Vertical (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

Rotatable ('Up :: a -> Vertical 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

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

Defined in Pandora.Paradigm.Structure.Binary

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

data Vertical a

Constructors

Up a

Down a

Instances

Rotatable ('Down ('Right :: a -> Wye a) :: Vertical (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) :: Vertical (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

Rotatable ('Up :: a -> Vertical 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

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

Defined in Pandora.Paradigm.Structure.Binary

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

Orphan instances

(forall a. Chain a) => Insertable Binary

Methods

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

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

Methods

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

Nullable Binary

Methods

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

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

Associated Types

type Substructural 'Left Binary a

Methods

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

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

Associated Types

type Substructural 'Right Binary a

Methods

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

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

Associated Types

type Focusing 'Root Binary a

Methods

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

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

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)

Associated Types

type Substructural 'Right (Construction Wye) a

Methods

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

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

Associated Types

type Focusing 'Root (Construction Wye) a

Methods

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