scalaz

Yoneda

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

The free 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

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  3. final def ==(arg0: Any): Boolean

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  4. final def asInstanceOf[T0]: T0

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  5. def clone(): AnyRef

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    protected[java.lang]
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    @throws( ... )
  6. final def eq(arg0: AnyRef): Boolean

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  7. def equals(arg0: Any): Boolean

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  8. def finalize(): Unit

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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )
  9. final def getClass(): Class[_]

    Definition Classes
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  10. def hashCode(): Int

    Definition Classes
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  11. final def isInstanceOf[T0]: Boolean

    Definition Classes
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  12. def map[B](f: (A) ⇒ B): Yoneda[F, B]

    Simple function composition.

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

  13. final def ne(arg0: AnyRef): Boolean

    Definition Classes
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  14. final def notify(): Unit

    Definition Classes
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  15. final def notifyAll(): Unit

    Definition Classes
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  16. def run: F[A]

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

  17. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
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  18. def toCoyoneda: Coyoneda[F, A]

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

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

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

  20. def toString(): String

    Definition Classes
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  21. final def wait(): Unit

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    @throws( ... )
  22. final def wait(arg0: Long, arg1: Int): Unit

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  23. final def wait(arg0: Long): Unit

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