scalaz

IsomorphismAlign

trait IsomorphismAlign[F[_], G[_]] extends Align[F] with IsomorphismFunctor[F, G]

Source
Isomorphism.scala
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Inherited
  1. IsomorphismAlign
  2. IsomorphismFunctor
  3. Align
  4. Functor
  5. InvariantFunctor
  6. AnyRef
  7. Any
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Type Members

  1. trait AlignLaw extends FunctorLaw

    Definition Classes
    Align
  2. trait FunctorLaw extends InvariantFunctorLaw

    Definition Classes
    Functor
  3. trait InvariantFunctorLaw extends AnyRef

    Definition Classes
    InvariantFunctor

Abstract Value Members

  1. implicit abstract def G: Align[G]

    Definition Classes
    IsomorphismAlignIsomorphismFunctor
  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 align[A, B](a: F[A], b: F[B]): F[\&/[A, B]]

    Definition Classes
    Align
  7. def alignA[A, B](a: F[A], b: F[B]): F[Option[A]]

    Definition Classes
    Align
  8. def alignB[A, B](a: F[A], b: F[B]): F[Option[B]]

    Definition Classes
    Align
  9. def alignBoth[A, B](a: F[A], b: F[B]): F[Option[(A, B)]]

    Definition Classes
    Align
  10. def alignLaw: AlignLaw

    Definition Classes
    Align
  11. def alignSwap[A, B](a: F[A], b: F[B]): F[\&/[B, A]]

    Definition Classes
    Align
  12. val alignSyntax: AlignSyntax[F]

    Definition Classes
    Align
  13. def alignThat[A, B](a: F[A], b: F[B]): F[Option[B]]

    Definition Classes
    Align
  14. def alignThis[A, B](a: F[A], b: F[B]): F[Option[A]]

    Definition Classes
    Align
  15. def alignWith[A, B, C](f: (\&/[A, B]) ⇒ C): (F[A], F[B]) ⇒ F[C]

    Definition Classes
    IsomorphismAlignAlign
  16. def apply[A, B](fa: F[A])(f: (A) ⇒ B): F[B]

    Alias for map.

    Alias for map.

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

    Definition Classes
    Any
  18. 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
  19. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  20. 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
  21. def counzip[A, B](a: \/[F[A], F[B]]): F[\/[A, B]]

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

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

    Definition Classes
    AnyRef → Any
  24. def finalize(): Unit

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

    Twin all As in fa.

    Twin all As in fa.

    Definition Classes
    Functor
  26. 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
  27. def functorLaw: FunctorLaw

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

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

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

    Definition Classes
    AnyRef → Any
  31. 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
  32. def invariantFunctorLaw: InvariantFunctorLaw

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

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

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

    Lift f into F.

    Lift f into F.

    Definition Classes
    Functor
  36. 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
  37. 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
  38. def merge[A](a1: F[A], a2: F[A])(implicit S: Semigroup[A]): F[A]

    Definition Classes
    Align
  39. final def ne(arg0: AnyRef): Boolean

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

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

    Definition Classes
    AnyRef
  42. def pad[A, B]: (F[A], F[B]) ⇒ F[(Option[A], Option[B])]

    Definition Classes
    Align
  43. def padWith[A, B, C](f: (Option[A], Option[B]) ⇒ C): (F[A], F[B]) ⇒ F[C]

    Definition Classes
    Align
  44. def product[G[_]](implicit G0: Align[G]): Align[[α](F[α], G[α])]

    Definition Classes
    Align
  45. 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
  46. 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
  47. 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
  48. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  49. def toString(): String

    Definition Classes
    AnyRef → Any
  50. 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
  51. final def wait(): Unit

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  54. 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
  55. 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
  56. 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
  57. 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 IsomorphismFunctor[F, G]

Inherited from Align[F]

Inherited from Functor[F]

Inherited from InvariantFunctor[F]

Inherited from AnyRef

Inherited from Any

Ungrouped