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t

scalaz

IsomorphismFunctor

trait IsomorphismFunctor[F[_], G[_]] extends Functor[F] with IsomorphismInvariantFunctor[F, G]

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Inherited
  1. IsomorphismFunctor
  2. IsomorphismInvariantFunctor
  3. Functor
  4. InvariantFunctor
  5. AnyRef
  6. Any
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Visibility
  1. Public
  2. Protected

Type Members

  1. trait FunctorLaw extends InvariantFunctorLaw
    Definition Classes
    Functor
  2. trait InvariantFunctorLaw extends AnyRef
    Definition Classes
    InvariantFunctor

Abstract Value Members

  1. implicit abstract def G: Functor[G]
    Definition Classes
    IsomorphismFunctor → IsomorphismInvariantFunctor
  2. abstract def iso: Isomorphism.<~>[F, G]
    Definition Classes
    IsomorphismFunctor → IsomorphismInvariantFunctor

Concrete Value Members

  1. def apply[A, B](fa: F[A])(f: (A) => B): F[B]

    Alias for map.

    Alias for map.

    Definition Classes
    Functor
  2. 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
  3. 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
  4. def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]
    Definition Classes
    Functor
  5. def fpair[A](fa: F[A]): F[(A, A)]

    Twin all As in fa.

    Twin all As in fa.

    Definition Classes
    Functor
  6. 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
  7. def functorLaw: FunctorLaw
    Definition Classes
    Functor
  8. val functorSyntax: FunctorSyntax[F]
    Definition Classes
    Functor
  9. 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
  10. def invariantFunctorLaw: InvariantFunctorLaw
    Definition Classes
    InvariantFunctor
  11. val invariantFunctorSyntax: InvariantFunctorSyntax[F]
    Definition Classes
    InvariantFunctor
  12. def lift[A, B](f: (A) => B): (F[A]) => F[B]

    Lift f into F.

    Lift f into F.

    Definition Classes
    Functor
  13. 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
    IsomorphismFunctor → Functor
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. def xmap[A, B](ma: 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
    IsomorphismInvariantFunctor → InvariantFunctor
  21. 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
  22. 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