Pandora.Paradigm.Primary.Functor.Endo

Documentation

newtype Endo a

Constructors

Endo

Fields

• endo :: a -> a

Instances

Invariant Endo

Defined in Pandora.Paradigm.Primary.Functor.Endo

Methods

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

invmap :: (a -> b) -> (b -> a) -> Endo a -> Endo b

Semigroup (Endo a)

Defined in Pandora.Paradigm.Primary.Functor.Endo

Methods

(+) :: Endo a -> Endo a -> Endo a

Monoid (Endo a)

Defined in Pandora.Paradigm.Primary.Functor.Endo

Methods

zero :: Endo a

Interpreted ((->) :: Type -> Type -> Type) Endo

Defined in Pandora.Paradigm.Primary.Functor.Endo

Associated Types

type Primary Endo a

Methods

run :: Endo a -> Primary Endo a

unite :: Primary Endo a -> Endo a

(||=) :: (Semigroupoid (->), Interpreted (->) u) => (Primary Endo a -> Primary u b) -> Endo a -> u b

(=||) :: (Semigroupoid (->), Interpreted (->) u) => (Endo a -> u b) -> Primary Endo a -> Primary u b

(<$||=) :: (Semigroupoid (->), Covariant (->) (->) j, Interpreted (->) u) => (Primary Endo a -> Primary u b) -> (j := Endo a) -> (j := u b)

(<$$||=) :: (Semigroupoid (->), Covariant (->) (->) j, Covariant (->) (->) k, Interpreted (->) u) => (Primary Endo a -> Primary u b) -> ((j :. k) := Endo a) -> ((j :. k) := u b)

(<$$$||=) :: (Semigroupoid (->), Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted (->) u) => (Primary Endo a -> Primary u b) -> ((j :. (k :. l)) := Endo a) -> ((j :. (k :. l)) := u b)

(<$$$$||=) :: (Semigroupoid (->), Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) n, Interpreted (->) u) => (Primary Endo a -> Primary u b) -> ((j :. (k :. (l :. n))) := Endo a) -> ((j :. (k :. (l :. n))) := u b)

(=||$>) :: (Covariant (->) (->) j, Interpreted (->) u) => (Endo a -> u b) -> (j := Primary Endo a) -> (j := Primary u b)

(=||$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Interpreted (->) u) => (Endo a -> u b) -> ((j :. k) := Primary Endo a) -> ((j :. k) := Primary u b)

(=||$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Interpreted (->) u) => (Endo a -> u b) -> ((j :. (k :. l)) := Primary Endo a) -> ((j :. (k :. l)) := Primary u b)

(=||$$$$>) :: (Covariant (->) (->) j, Covariant (->) (->) k, Covariant (->) (->) l, Covariant (->) (->) n, Interpreted (->) u) => (Endo a -> u b) -> ((j :. (k :. (l :. n))) := Primary Endo a) -> ((j :. (k :. (l :. n))) := Primary u b)

type Primary Endo a

Defined in Pandora.Paradigm.Primary.Functor.Endo

type Primary Endo a = a -> a