scalaz

Coyoneda

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

The dual view of the Yoneda lemma. Also a free functor on F. This is isomorphic to F as long as F itself is a functor. The homomorphism from F[A] to Coyoneda[F,A] exists even when F is not a functor.

Self Type
Coyoneda[F, A]
Source
Yoneda.scala
Linear Supertypes
AnyRef, Any
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. Hide All
  2. Show all
  1. Coyoneda
  2. AnyRef
  3. Any
Visibility
  1. Public
  2. All

Instance Constructors

  1. new Coyoneda()

Type Members

  1. abstract type I

Abstract Value Members

  1. abstract def fi: F[I]

  2. abstract def k(i: I): A

Concrete Value Members

  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any
  3. final def ##(): Int

    Definition Classes
    AnyRef → Any
  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any
  6. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  7. def clone(): AnyRef

    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  8. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  9. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  10. def extend[G[_]](f: ~>[[a]Coyoneda[F, a], G]): Coyoneda[G, A]

    Coyoneda is a comonad in an endofunctor category

  11. def finalize(): Unit

    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws()
  12. def flatMap[G[_]](f: ~>[F, [a]Coyoneda[G, a]]): Coyoneda[G, A]

    Coyoneda is a monad in an endofunctor category

  13. final def getClass(): java.lang.Class[_]

    Definition Classes
    AnyRef → Any
  14. def hashCode(): Int

    Definition Classes
    AnyRef → Any
  15. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  16. def map[B](f: (A) ⇒ B): Coyoneda[F, B]

    Simple function composition.

    Simple function composition. Allows map fusion without touching the underlying F.

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

    Definition Classes
    AnyRef
  18. final def notify(): Unit

    Definition Classes
    AnyRef
  19. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  20. def run(implicit F: Functor[F]): F[A]

    Converts to F[A] given that F is a functor

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

    Definition Classes
    AnyRef
  22. def toLan: Lan[Id, F, A]

    Coyoneda[F,_] is the left Kan extension of F along Id

  23. def toString(): String

    Definition Classes
    AnyRef → Any
  24. def toYoneda(implicit F: Functor[F]): Yoneda[F, A]

    Converts to Yoneda[F,A] given that F is a functor

  25. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()
  26. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()
  27. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws()

Inherited from AnyRef

Inherited from Any