Pandora.Paradigm.Basis.Twister

Documentation

data Twister t a

Constructors

Twister a ((t :. Twister t) := a)

Instances

Lowerable Twister

Defined in Pandora.Paradigm.Basis.Twister

Methods

lower :: Covariant u => Twister u ~> u

Covariant t => Covariant (Twister t)

Defined in Pandora.Paradigm.Basis.Twister

Methods

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

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

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

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

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

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

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

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

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

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

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

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

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

Alternative t => Bindable (Twister t)

Defined in Pandora.Paradigm.Basis.Twister

Methods

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

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

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

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

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

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

Applicative t => Applicative (Twister t)

Defined in Pandora.Paradigm.Basis.Twister

Methods

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

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

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

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

forever :: Twister t a -> Twister t b

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

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

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

Covariant t => Extendable (Twister t)

Defined in Pandora.Paradigm.Basis.Twister

Methods

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

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

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

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

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

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

Covariant t => Extractable (Twister t)

Defined in Pandora.Paradigm.Basis.Twister

Methods

extract :: a <-| Twister t

Covariant t => Comonad (Twister t)

Defined in Pandora.Paradigm.Basis.Twister

Avoidable t => Pointable (Twister t)

Defined in Pandora.Paradigm.Basis.Twister

Methods

point :: a |-> Twister t

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

Defined in Pandora.Paradigm.Basis.Twister

Traversable t => Traversable (Twister t)

Defined in Pandora.Paradigm.Basis.Twister

Methods

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

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

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

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

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

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

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

Defined in Pandora.Paradigm.Basis.Twister

Methods

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

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

Defined in Pandora.Paradigm.Basis.Twister

Methods

zero :: Twister t a

(Setoid a, forall b. Setoid b => Setoid (t b)) => Setoid (Twister t a)

Defined in Pandora.Paradigm.Basis.Twister

Methods

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

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

Covariant (UT Covariant Covariant (Twister Edges) Edges)

Defined in Pandora.Paradigm.Structure.Specific.Graph

Methods

(<$>) :: (a -> b) -> UT Covariant Covariant (Twister Edges) Edges a -> UT Covariant Covariant (Twister Edges) Edges b

comap :: (a -> b) -> UT Covariant Covariant (Twister Edges) Edges a -> UT Covariant Covariant (Twister Edges) Edges b

(<$) :: a -> UT Covariant Covariant (Twister Edges) Edges b -> UT Covariant Covariant (Twister Edges) Edges a

($>) :: UT Covariant Covariant (Twister Edges) Edges a -> b -> UT Covariant Covariant (Twister Edges) Edges b

void :: UT Covariant Covariant (Twister Edges) Edges a -> UT Covariant Covariant (Twister Edges) Edges ()

loeb :: UT Covariant Covariant (Twister Edges) Edges (a <-| UT Covariant Covariant (Twister Edges) Edges) -> UT Covariant Covariant (Twister Edges) Edges a

(<&>) :: UT Covariant Covariant (Twister Edges) Edges a -> (a -> b) -> UT Covariant Covariant (Twister Edges) Edges b

(<$$>) :: Covariant u => (a -> b) -> ((UT Covariant Covariant (Twister Edges) Edges :. u) := a) -> (UT Covariant Covariant (Twister Edges) Edges :. u) := b

(<$$$>) :: (Covariant u, Covariant v) => (a -> b) -> ((UT Covariant Covariant (Twister Edges) Edges :. (u :. v)) := a) -> (UT Covariant Covariant (Twister Edges) Edges :. (u :. v)) := b

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

(<&&>) :: Covariant u => ((UT Covariant Covariant (Twister Edges) Edges :. u) := a) -> (a -> b) -> (UT Covariant Covariant (Twister Edges) Edges :. u) := b

(<&&&>) :: (Covariant u, Covariant v) => ((UT Covariant Covariant (Twister Edges) Edges :. (u :. v)) := a) -> (a -> b) -> (UT Covariant Covariant (Twister Edges) Edges :. (u :. v)) := b

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

Covariant (UT Covariant Covariant (Twister Maybe) Maybe)

Defined in Pandora.Paradigm.Structure.Specific.Stack

Methods

(<$>) :: (a -> b) -> UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe b

comap :: (a -> b) -> UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe b

(<$) :: a -> UT Covariant Covariant (Twister Maybe) Maybe b -> UT Covariant Covariant (Twister Maybe) Maybe a

($>) :: UT Covariant Covariant (Twister Maybe) Maybe a -> b -> UT Covariant Covariant (Twister Maybe) Maybe b

void :: UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe ()

loeb :: UT Covariant Covariant (Twister Maybe) Maybe (a <-| UT Covariant Covariant (Twister Maybe) Maybe) -> UT Covariant Covariant (Twister Maybe) Maybe a

(<&>) :: UT Covariant Covariant (Twister Maybe) Maybe a -> (a -> b) -> UT Covariant Covariant (Twister Maybe) Maybe b

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

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

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

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

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

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

Applicative (UT Covariant Covariant (Twister Maybe) Maybe)

Defined in Pandora.Paradigm.Structure.Specific.Stack

Methods

(<*>) :: UT Covariant Covariant (Twister Maybe) Maybe (a -> b) -> UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe b

apply :: UT Covariant Covariant (Twister Maybe) Maybe (a -> b) -> UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe b

(*>) :: UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe b -> UT Covariant Covariant (Twister Maybe) Maybe b

(<*) :: UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe b -> UT Covariant Covariant (Twister Maybe) Maybe a

forever :: UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe b

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

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

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

Alternative (UT Covariant Covariant (Twister Maybe) Maybe)

Defined in Pandora.Paradigm.Structure.Specific.Stack

Methods

(<+>) :: UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe a

alter :: UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe a -> UT Covariant Covariant (Twister Maybe) Maybe a

Avoidable (UT Covariant Covariant (Twister Maybe) Maybe)

Defined in Pandora.Paradigm.Structure.Specific.Stack

Methods

empty :: UT Covariant Covariant (Twister Maybe) Maybe a

Pointable (UT Covariant Covariant (Twister Maybe) Maybe)

Defined in Pandora.Paradigm.Structure.Specific.Stack

Methods

point :: a |-> UT Covariant Covariant (Twister Maybe) Maybe

Traversable (UT Covariant Covariant (Twister Edges) Edges)

Defined in Pandora.Paradigm.Structure.Specific.Graph

Methods

(->>) :: (Pointable u, Applicative u) => UT Covariant Covariant (Twister Edges) Edges a -> (a -> u b) -> (u :. UT Covariant Covariant (Twister Edges) Edges) := b

traverse :: (Pointable u, Applicative u) => (a -> u b) -> UT Covariant Covariant (Twister Edges) Edges a -> (u :. UT Covariant Covariant (Twister Edges) Edges) := b

sequence :: (Pointable u, Applicative u) => ((UT Covariant Covariant (Twister Edges) Edges :. u) := a) -> (u :. UT Covariant Covariant (Twister Edges) Edges) := a

(->>>) :: (Pointable u, Applicative u, Traversable v) => ((v :. UT Covariant Covariant (Twister Edges) Edges) := a) -> (a -> u b) -> (u :. (v :. UT Covariant Covariant (Twister Edges) Edges)) := b

(->>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w) => ((w :. (v :. UT Covariant Covariant (Twister Edges) Edges)) := a) -> (a -> u b) -> (u :. (w :. (v :. UT Covariant Covariant (Twister Edges) Edges))) := b

(->>>>>) :: (Pointable u, Applicative u, Traversable v, Traversable w, Traversable j) => ((j :. (w :. (v :. UT Covariant Covariant (Twister Edges) Edges))) := a) -> (a -> u b) -> (u :. (j :. (w :. (v :. UT Covariant Covariant (Twister Edges) Edges)))) := b

Traversable (UT Covariant Covariant (Twister Maybe) Maybe)

Defined in Pandora.Paradigm.Structure.Specific.Stack

Methods

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

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

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

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

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

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

untwist :: Twister t a -> (t :. Twister t) a

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

section :: Comonad t => t ~> Twister t