Pandora.Paradigm.Primary.Transformer.Construction

Documentation

data Construction t a

Constructors

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

Instances

Lowerable Construction

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

lower :: Extractable u => Construction u ~> u

Focusable Stack

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Focus Stack a :: Type

Methods

top :: Stack a :-. Focus Stack a

singleton :: a |-> Stack

Focusable Rose

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Focus Rose a :: Type

Methods

top :: Rose a :-. Focus Rose a

singleton :: a |-> Rose

(forall a. Chain a) => Focusable Binary

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Focus Binary a :: Type

Methods

top :: Binary a :-. Focus Binary a

singleton :: a |-> Binary

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

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

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

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

Focusable (Construction Wye)

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Focus (Construction Wye) a :: Type

Methods

top :: Construction Wye a :-. Focus (Construction Wye) a

singleton :: a |-> Construction Wye

Focusable (Construction Maybe)

Defined in Pandora.Paradigm.Structure.Stack

Associated Types

type Focus (Construction Maybe) a :: Type

Methods

top :: Construction Maybe a :-. Focus (Construction Maybe) a

singleton :: a |-> Construction Maybe

Focusable (Construction Stack)

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Focus (Construction Stack) a :: Type

Methods

top :: Construction Stack a :-. Focus (Construction Stack) a

singleton :: a |-> Construction Stack

Hoistable Construction

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

hoist :: 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 :: Type

Methods

sub :: Binary a :-. Tagged Left (Substructural Left Binary a)

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

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Substructural Right Binary a :: Type

Methods

sub :: Binary a :-. Tagged Right (Substructural Right Binary a)

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

Defined in Pandora.Paradigm.Structure.Rose

Associated Types

type Substructural Just Rose a :: Type

Methods

sub :: Rose a :-. Tagged Just (Substructural Just Rose a)

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

Defined in Pandora.Paradigm.Structure.Binary

Associated Types

type Substructural Left (Construction Wye) a :: Type

Methods

sub :: Construction Wye a :-. Tagged Left (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 :: Type

Methods

sub :: Construction Wye a :-. Tagged Right (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 :: Type

Methods

sub :: Construction Stack a :-. Tagged Just (Substructural Just (Construction Stack) a)

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

(Covariant t, Covariant u) => Covariant (TU Covariant Covariant u (Construction t))

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

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

comap :: (a -> b) -> TU Covariant Covariant u (Construction t) a -> TU Covariant Covariant u (Construction t) b

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

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

void :: TU Covariant Covariant u (Construction t) a -> TU Covariant Covariant u (Construction t) ()

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

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

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

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

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

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

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

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

(Applicative t, Applicative u) => Applicative (TU Covariant Covariant u (Construction t))

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

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

apply :: TU Covariant Covariant u (Construction t) (a -> b) -> TU Covariant Covariant u (Construction t) a -> TU Covariant Covariant u (Construction t) b

(*>) :: TU Covariant Covariant u (Construction t) a -> TU Covariant Covariant u (Construction t) b -> TU Covariant Covariant u (Construction t) b

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

forever :: TU Covariant Covariant u (Construction t) a -> TU Covariant Covariant u (Construction t) b

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

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

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

(Covariant t, Alternative u) => Alternative (TU Covariant Covariant u (Construction t))

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

(<+>) :: TU Covariant Covariant u (Construction t) a -> TU Covariant Covariant u (Construction t) a -> TU Covariant Covariant u (Construction t) a

alter :: TU Covariant Covariant u (Construction t) a -> TU Covariant Covariant u (Construction t) a -> TU Covariant Covariant u (Construction t) a

(Covariant t, Avoidable u) => Avoidable (TU Covariant Covariant u (Construction t))

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

empty :: TU Covariant Covariant u (Construction t) a

(Avoidable t, Pointable u) => Pointable (TU Covariant Covariant u (Construction t))

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

point :: a |-> TU Covariant Covariant u (Construction t)

(Traversable t, Traversable u) => Traversable (TU Covariant Covariant u (Construction t))

Defined in Pandora.Paradigm.Primary.Transformer.Construction

Methods

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

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

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

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

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

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

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 Focus Stack a

Defined in Pandora.Paradigm.Structure.Stack

type Focus Stack a = Maybe a

type Focus Rose a

Defined in Pandora.Paradigm.Structure.Rose

type Focus Rose a = Maybe a

type Focus Binary a

Defined in Pandora.Paradigm.Structure.Binary

type Focus Binary a = Maybe a

type Focus (Construction Wye) a

Defined in Pandora.Paradigm.Structure.Binary

type Focus (Construction Wye) a = a

type Focus (Construction Maybe) a

Defined in Pandora.Paradigm.Structure.Stack

type Focus (Construction Maybe) a = a

type Focus (Construction Stack) a

Defined in Pandora.Paradigm.Structure.Rose

type Focus (Construction Stack) a = a

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 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

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

coiterate :: Covariant t => (a |-> t) -> a |-> Construction t

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