trait Density[F[_], Y] extends AnyRef
Density Comonad.
Density is Left Kan Extension where both Functors are the same.
Without any restrictions on F we can define Functor, Cobind, Comonad for Density[F]. Density is Comonad for free.
- Self Type
- Density[F, Y]
- Source
- Density.scala
- See also
https://hackage.haskell.org/package/kan-extensions/docs/Control-Comonad-Density.html
http://comonad.com/reader/2011/a-product-of-an-imperfect-union/
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Type Members
- trait DensityLaw extends AnyRef
- abstract type X
Concrete Value Members
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final
def
!=(arg0: Any): Boolean
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final
def
##(): Int
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final
def
==(arg0: Any): Boolean
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final
def
asInstanceOf[T0]: T0
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def
clone(): AnyRef
- Attributes
- protected[lang]
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- @throws( ... ) @native()
- def densityLaw: DensityLaw
- def densityToAdjunction[X[_]](implicit F: Functor[F], A: Adjunction[F, X]): F[X[Y]]
- def densityToCoyoneda: Coyoneda[F, X]
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def
densityToLan: Lan[F, F, Y]
Density is left Kan extension of a Functor F along itself (Lan f f).
Density is left Kan extension of a Functor F along itself (Lan f f).
lanToDensity(d.densityToLan) == d lanToDensity(l).densityToLan == l
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final
def
eq(arg0: AnyRef): Boolean
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final
def
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def
hashCode(): Int
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final
def
isInstanceOf[T0]: Boolean
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def
lowerDensity(implicit C: Cobind[F]): F[Y]
The natural isomorphism between a Comonad F and the Density F.
The natural isomorphism between a Comonad F and the Density F.
d.lowerDensity andThen liftDensity = d
- def map[A](fab: (Y) ⇒ A): Density[F, A]
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final
def
ne(arg0: AnyRef): Boolean
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final
def
notify(): Unit
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final
def
notifyAll(): Unit
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- def runDensity: Y
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def
synchronized[T0](arg0: ⇒ T0): T0
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def
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