Pandora.Pattern.Object.Ringoid

Documentation

class Semigroup a => Ringoid a where

When providing a new instance, you should ensure it satisfies:
* Left distributivity: x * (y + z) ≡ x * y + x * z
* Right distributivity: (y + z) * x ≡ y * x + z * x

Methods

(*) :: a -> a -> a infixl 8

Instances

Ringoid Boolean

Defined in Pandora.Paradigm.Primary.Object.Boolean

Methods

(*) :: Boolean -> Boolean -> Boolean

Ringoid Denumerator

Defined in Pandora.Paradigm.Primary.Object.Denumerator

Methods

(*) :: Denumerator -> Denumerator -> Denumerator

Ringoid Numerator

Defined in Pandora.Paradigm.Primary.Object.Numerator

Methods

(*) :: Numerator -> Numerator -> Numerator

Ringoid a => Ringoid (Exactly a)

Defined in Pandora.Paradigm.Primary.Functor.Exactly

Methods

(*) :: Exactly a -> Exactly a -> Exactly a

Ringoid r => Ringoid (e -> r)

Defined in Pandora.Paradigm.Primary.Algebraic.Exponential

Methods

(*) :: (e -> r) -> (e -> r) -> e -> r

(Ringoid s, Ringoid a) => Ringoid (s :*: a)

Defined in Pandora.Paradigm.Primary.Algebraic.Product

Methods

(*) :: (s :*: a) -> (s :*: a) -> s :*: a

Ringoid a => Ringoid (Vector a a)

Defined in Pandora.Paradigm.Primary.Linear.Vector

Methods

(*) :: Vector a a -> Vector a a -> Vector a a

(Ringoid a, Ringoid r, Ringoid (a :*: r), Ringoid (Vector r a)) => Ringoid (Vector (a :*: r) a)

Defined in Pandora.Paradigm.Primary.Linear.Vector

Methods

(*) :: Vector (a :*: r) a -> Vector (a :*: r) a -> Vector (a :*: r) a

Ringoid a => Ringoid (Constant a b)

Defined in Pandora.Paradigm.Primary.Functor.Constant

Methods

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

Ringoid a => Ringoid (Tagged tag a)

Defined in Pandora.Paradigm.Primary.Functor.Tagged

Methods

(*) :: Tagged tag a -> Tagged tag a -> Tagged tag a