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abstract class Yoneda[F[_], A] extends AnyRef

The cofree functor generated by F. The Yoneda lemma says that Yoneda[F,A] is isomorphic to F[A] for any functor F. The homomorphism from Yoneda[F,A] to F[A] exists even when we have forgotten that F is a functor. Can be seen as a partially applied map for the functor F.

Self Type
Yoneda[F, A]
Source
Yoneda.scala
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Instance Constructors

  1. new Yoneda()

Abstract Value Members

  1. abstract def apply[B](f: (A) ⇒ B): F[B]

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
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  2. final def ##(): Int
    Definition Classes
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  3. final def ==(arg0: Any): Boolean
    Definition Classes
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  4. final def asInstanceOf[T0]: T0
    Definition Classes
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  5. def clone(): AnyRef
    Attributes
    protected[lang]
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    @throws( ... ) @native()
  6. final def eq(arg0: AnyRef): Boolean
    Definition Classes
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  7. def equals(arg0: Any): Boolean
    Definition Classes
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  8. def extend[G[_]](f: ~>[[β$0$]Yoneda[F, β$0$], G])(implicit arg0: Functor[G]): Yoneda[G, A]

    Yoneda is a comonad in an endofunctor category

  9. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
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    Annotations
    @throws( classOf[java.lang.Throwable] )
  10. def flatMap[G[_]](f: ~>[F, [β$1$]Yoneda[G, β$1$]]): Yoneda[G, A]

    Yoneda is a monad in an endofunctor category

  11. final def getClass(): Class[_]
    Definition Classes
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    Annotations
    @native()
  12. def hashCode(): Int
    Definition Classes
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    Annotations
    @native()
  13. final def isInstanceOf[T0]: Boolean
    Definition Classes
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  14. def map[B](f: (A) ⇒ B): Yoneda[F, B]

    Simple function composition.

    Simple function composition. Allows map fusion without traversing an F.

  15. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  16. final def notify(): Unit
    Definition Classes
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    Annotations
    @native()
  17. final def notifyAll(): Unit
    Definition Classes
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    Annotations
    @native()
  18. def run: F[A]

    Converts to F[A] even without a Functor instance for F

  19. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
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  20. def toCoyoneda: Aux[F, A, A]

    Converts to Coyoneda[F,A] even without a Functor instance for F

  21. def toRan: Ran[Id.Id, F, A]

    Yoneda[F, _] is the right Kan extension of F along Id

  22. def toString(): String
    Definition Classes
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  23. final def wait(): Unit
    Definition Classes
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    @throws( ... )
  24. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
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    @throws( ... )
  25. final def wait(arg0: Long): Unit
    Definition Classes
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    @throws( ... ) @native()

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