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scalaz

IsomorphismComonad

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

Source
Isomorphism.scala
Linear Supertypes
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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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Visibility
  1. Public
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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: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def apply[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

    Alias for map.

    Alias for map.

    Definition Classes
    Functor
  5. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  6. 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
  7. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  8. def cobind[A, B](fa: F[A])(f: (F[A]) ⇒ B): F[B]

    Also know as extend

    Also know as extend

    Definition Classes
    IsomorphismCobindCobind
  9. def cobindLaw: CobindLaws
    Definition Classes
    Cobind
  10. val cobindSyntax: CobindSyntax[F]
    Definition Classes
    Cobind
  11. def cojoin[A](a: F[A]): F[F[A]]

    Also known as duplicate

    Also known as duplicate

    Definition Classes
    IsomorphismCobindCobind
  12. def comonadLaw: ComonadLaws
    Definition Classes
    Comonad
  13. val comonadSyntax: ComonadSyntax[F]
    Definition Classes
    Comonad
  14. 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
  15. def copoint[A](p: F[A]): A

    Also known as extract / copure

    Also known as extract / copure

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

    alias for copoint

    alias for copoint

    Definition Classes
    Comonad
  17. def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]
    Definition Classes
    Functor
  18. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  19. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  20. final def extend[A, B](fa: F[A])(f: (F[A]) ⇒ B): F[B]
    Definition Classes
    Cobind
  21. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  22. def fpair[A](fa: F[A]): F[(A, A)]

    Twin all As in fa.

    Twin all As in fa.

    Definition Classes
    Functor
  23. 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
  24. def functorLaw: FunctorLaw
    Definition Classes
    Functor
  25. val functorSyntax: FunctorSyntax[F]
    Definition Classes
    Functor
  26. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  27. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  28. 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
  29. def invariantFunctorLaw: InvariantFunctorLaw
    Definition Classes
    InvariantFunctor
  30. val invariantFunctorSyntax: InvariantFunctorSyntax[F]
    Definition Classes
    InvariantFunctor
  31. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  32. def lift[A, B](f: (A) ⇒ B): (F[A]) ⇒ F[B]

    Lift f into F.

    Lift f into F.

    Definition Classes
    Functor
  33. 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
  34. 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
  35. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  36. final def notify(): Unit
    Definition Classes
    AnyRef
  37. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  38. 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
  39. 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
  40. 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
  41. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  42. def toString(): String
    Definition Classes
    AnyRef → Any
  43. 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
  44. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  45. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  46. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  47. 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
  48. 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
  49. 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
  50. 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