Pandora.Paradigm.Primary.Functor.Maybe

Documentation

data Maybe a

Constructors

Nothing

Just a

Instances

(forall a. Chain a) => Insertable Binary

Defined in Pandora.Paradigm.Structure.Binary

Methods

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

Insertable Stack

Defined in Pandora.Paradigm.Structure.Stack

Methods

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

Covariant Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

(<$>) :: (a -> b) -> Maybe a -> Maybe b

comap :: (a -> b) -> Maybe a -> Maybe b

(<$) :: a -> Maybe b -> Maybe a

($>) :: Maybe a -> b -> Maybe b

void :: Maybe a -> Maybe ()

loeb :: Maybe (a <-| Maybe) -> Maybe a

(<&>) :: Maybe a -> (a -> b) -> Maybe b

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

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

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

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

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

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

Bindable Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

(>>=) :: Maybe a -> (a -> Maybe b) -> Maybe b

(=<<) :: (a -> Maybe b) -> Maybe a -> Maybe b

bind :: (a -> Maybe b) -> Maybe a -> Maybe b

join :: ((Maybe :. Maybe) := a) -> Maybe a

(>=>) :: (a -> Maybe b) -> (b -> Maybe c) -> a -> Maybe c

(<=<) :: (b -> Maybe c) -> (a -> Maybe b) -> a -> Maybe c

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

(<>>=) :: (Maybe b -> c) -> (a -> Maybe b) -> Maybe a -> c

Applicative Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

(<*>) :: Maybe (a -> b) -> Maybe a -> Maybe b

apply :: Maybe (a -> b) -> Maybe a -> Maybe b

(*>) :: Maybe a -> Maybe b -> Maybe b

(<*) :: Maybe a -> Maybe b -> Maybe a

forever :: Maybe a -> Maybe b

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

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

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

Alternative Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

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

alter :: Maybe a -> Maybe a -> Maybe a

Avoidable Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

empty :: Maybe a

Pointable Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

point :: a |-> Maybe

Monad Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

(>>=-) :: Maybe a -> Maybe b -> Maybe a

(->>=) :: Maybe a -> Maybe b -> Maybe b

(-=<<) :: Maybe a -> Maybe b -> Maybe b

(=<<-) :: Maybe a -> Maybe b -> Maybe a

Traversable Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

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

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

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

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

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

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

Interpreted Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Associated Types

type Primary Maybe a

Methods

run :: Maybe a -> Primary Maybe a

unite :: Primary Maybe a -> Maybe a

Monadic Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

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

Monotonic a (Maybe a)

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

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

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

Monotonic a (Construction Maybe 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

Monotonic a (t a) => Monotonic a ((Maybe :. t) := a)

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

reduce :: (a -> r -> r) -> r -> ((Maybe :. t) := a) -> r

resolve :: (a -> r) -> r -> ((Maybe :. t) := a) -> r

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

Insertable (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Stack

Methods

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

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

Defined in Pandora.Paradigm.Structure.Stack

Methods

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

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

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

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

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

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

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

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

Semigroup a => Semigroup (Maybe a)

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

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

Semigroup (Stack a)

Defined in Pandora.Paradigm.Structure.Stack

Methods

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

Semigroup a => Monoid (Maybe a)

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

zero :: Maybe a

Monoid (Stack a)

Defined in Pandora.Paradigm.Structure.Stack

Methods

zero :: Stack a

Supremum a => Supremum (Maybe a)

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

(\/) :: Maybe a -> Maybe a -> Maybe a

Infimum a => Infimum (Maybe a)

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

(/\) :: Maybe a -> Maybe a -> Maybe a

Lattice a => Lattice (Maybe a)

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Setoid a => Setoid (Maybe a)

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

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

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

Setoid a => Setoid (Stack a)

Defined in Pandora.Paradigm.Structure.Stack

Methods

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

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

Chain a => Chain (Maybe a)

Defined in Pandora.Paradigm.Primary.Functor.Maybe

Methods

(<=>) :: Maybe a -> Maybe a -> Ordering

(<) :: Maybe a -> Maybe a -> Boolean

(<=) :: Maybe a -> Maybe a -> Boolean

(>) :: Maybe a -> Maybe a -> Boolean

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

Nullable Maybe

Defined in Pandora.Paradigm.Structure

Methods

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

Nullable Binary

Defined in Pandora.Paradigm.Structure.Binary

Methods

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

Nullable Stack

Defined in Pandora.Paradigm.Structure.Stack

Methods

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

Nullable Rose

Defined in Pandora.Paradigm.Structure.Rose

Methods

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

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

(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 ('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

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 ('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 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 ('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 ('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 -> 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 Nonempty Binary

Defined in Pandora.Paradigm.Structure.Binary

type Nonempty Binary = Construction Wye

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 Zipper Stack

Defined in Pandora.Paradigm.Structure.Stack

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

type Primary Maybe a

Defined in Pandora.Paradigm.Primary.Functor.Maybe

type Primary Maybe a = Maybe a

type Schematic Monad Maybe

Defined in Pandora.Paradigm.Primary.Functor.Maybe

type Schematic Monad Maybe = (<.:>) Maybe

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) Binary a

Defined in Pandora.Paradigm.Structure.Binary

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

Defined in Pandora.Paradigm.Structure.Stack

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

type Optional = Adaptable Maybe

nothing :: Optional t => t a