scalaz

IsomorphismComonad

trait IsomorphismComonad[F[_], G[_]] extends Comonad[F] with IsomorphismCobind[F, G]

Source
Isomorphism.scala
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Inherited
  1. IsomorphismComonad
  2. IsomorphismCobind
  3. IsomorphismFunctor
  4. Comonad
  5. Cobind
  6. Functor
  7. InvariantFunctor
  8. AnyRef
  9. Any
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Type Members

  1. trait CobindLaws extends AnyRef

    Definition Classes
    Cobind
  2. trait ComonadLaws extends CobindLaws

    Definition Classes
    Comonad
  3. trait FunctorLaw extends InvariantFunctorLaw

    Definition Classes
    Functor
  4. trait InvariantFunctorLaw extends AnyRef

    Definition Classes
    InvariantFunctor

Abstract Value Members

  1. implicit abstract def G: Comonad[G]

  2. abstract def iso: Isomorphism.<~>[F, G]

    Definition Classes
    IsomorphismFunctor

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. def apply[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

    Alias for map.

    Alias for map.

    Definition Classes
    Functor
  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  8. def bicompose[G[_, _]](implicit arg0: Bifunctor[G]): Bifunctor[[α, β]F[G[α, β]]]

    The composition of Functor F and Bifunctor G, [x, y]F[G[x, y]], is a Bifunctor

    The composition of Functor F and Bifunctor G, [x, y]F[G[x, y]], is a Bifunctor

    Definition Classes
    Functor
  9. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  10. def cobind[A, B](fa: F[A])(f: (F[A]) ⇒ B): F[B]

    Also know as extend

    Also know as extend

    Definition Classes
    IsomorphismCobindCobind
  11. def cobindLaw: CobindLaws

    Definition Classes
    Cobind
  12. val cobindSyntax: CobindSyntax[F]

    Definition Classes
    Cobind
  13. def cojoin[A](a: F[A]): F[F[A]]

    Also known as duplicate

    Also known as duplicate

    Definition Classes
    IsomorphismCobindCobind
  14. def comonadLaw: ComonadLaws

    Definition Classes
    Comonad
  15. val comonadSyntax: ComonadSyntax[F]

    Definition Classes
    Comonad
  16. def compose[G[_]](implicit G0: Functor[G]): Functor[[α]F[G[α]]]

    The composition of Functors F and G, [x]F[G[x]], is a Functor

    The composition of Functors F and G, [x]F[G[x]], is a Functor

    Definition Classes
    Functor
  17. def copoint[A](p: F[A]): A

    Also known as extract / copure

    Also known as extract / copure

    Definition Classes
    IsomorphismComonadComonad
  18. final def copure[A](p: F[A]): A

    alias for copoint

    alias for copoint

    Definition Classes
    Comonad
  19. def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]

    Definition Classes
    Functor
  20. final def eq(arg0: AnyRef): Boolean

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

    Definition Classes
    AnyRef → Any
  22. final def extend[A, B](fa: F[A])(f: (F[A]) ⇒ B): F[B]

    Definition Classes
    Cobind
  23. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  24. def fpair[A](fa: F[A]): F[(A, A)]

    Twin all As in fa.

    Twin all As in fa.

    Definition Classes
    Functor
  25. def fproduct[A, B](fa: F[A])(f: (A) ⇒ B): F[(A, B)]

    Pair all As in fa with the result of function application.

    Pair all As in fa with the result of function application.

    Definition Classes
    Functor
  26. def functorLaw: FunctorLaw

    Definition Classes
    Functor
  27. val functorSyntax: FunctorSyntax[F]

    Definition Classes
    Functor
  28. final def getClass(): Class[_]

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

    Definition Classes
    AnyRef → Any
  30. def icompose[G[_]](implicit G0: Contravariant[G]): Contravariant[[α]F[G[α]]]

    The composition of Functor F and Contravariant G, [x]F[G[x]], is contravariant.

    The composition of Functor F and Contravariant G, [x]F[G[x]], is contravariant.

    Definition Classes
    Functor
  31. def invariantFunctorLaw: InvariantFunctorLaw

    Definition Classes
    InvariantFunctor
  32. val invariantFunctorSyntax: InvariantFunctorSyntax[F]

    Definition Classes
    InvariantFunctor
  33. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  34. def lift[A, B](f: (A) ⇒ B): (F[A]) ⇒ F[B]

    Lift f into F.

    Lift f into F.

    Definition Classes
    Functor
  35. def map[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

    Lift f into F and apply to F[A].

    Lift f into F and apply to F[A].

    Definition Classes
    IsomorphismFunctorFunctor
  36. def mapply[A, B](a: A)(f: F[(A) ⇒ B]): F[B]

    Lift apply(a), and apply the result to f.

    Lift apply(a), and apply the result to f.

    Definition Classes
    Functor
  37. final def ne(arg0: AnyRef): Boolean

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

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

    Definition Classes
    AnyRef
  40. def product[G[_]](implicit G0: Functor[G]): Functor[[α](F[α], G[α])]

    The product of Functors F and G, [x](F[x], G[x]]), is a Functor

    The product of Functors F and G, [x](F[x], G[x]]), is a Functor

    Definition Classes
    Functor
  41. def strengthL[A, B](a: A, f: F[B]): F[(A, B)]

    Inject a to the left of Bs in f.

    Inject a to the left of Bs in f.

    Definition Classes
    Functor
  42. def strengthR[A, B](f: F[A], b: B): F[(A, B)]

    Inject b to the right of As in f.

    Inject b to the right of As in f.

    Definition Classes
    Functor
  43. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  44. def toString(): String

    Definition Classes
    AnyRef → Any
  45. def void[A](fa: F[A]): F[Unit]

    Empty fa of meaningful pure values, preserving its structure.

    Empty fa of meaningful pure values, preserving its structure.

    Definition Classes
    Functor
  46. final def wait(): Unit

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  49. def widen[A, B](fa: F[A])(implicit ev: <~<[A, B]): F[B]

    Functors are covariant by nature, so we can treat an F[A] as an F[B] if A is a subtype of B.

    Functors are covariant by nature, so we can treat an F[A] as an F[B] if A is a subtype of B.

    Definition Classes
    Functor
  50. def xmap[A, B](fa: F[A], f: (A) ⇒ B, g: (B) ⇒ A): F[B]

    Converts ma to a value of type F[B] using the provided functions f and g.

    Converts ma to a value of type F[B] using the provided functions f and g.

    Definition Classes
    FunctorInvariantFunctor
  51. def xmapb[A, B](ma: F[A])(b: Bijection[A, B]): F[B]

    Converts ma to a value of type F[B] using the provided bijection.

    Converts ma to a value of type F[B] using the provided bijection.

    Definition Classes
    InvariantFunctor
  52. def xmapi[A, B](ma: F[A])(iso: Isomorphism.<=>[A, B]): F[B]

    Converts ma to a value of type F[B] using the provided isomorphism.

    Converts ma to a value of type F[B] using the provided isomorphism.

    Definition Classes
    InvariantFunctor

Inherited from IsomorphismCobind[F, G]

Inherited from IsomorphismFunctor[F, G]

Inherited from Comonad[F]

Inherited from Cobind[F]

Inherited from Functor[F]

Inherited from InvariantFunctor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped