scalaz

IsomorphismArrow

trait IsomorphismArrow[F[_, _], G[_, _]] extends Arrow[F] with IsomorphismSplit[F, G] with IsomorphismStrong[F, G] with IsomorphismCategory[F, G]

Source
Isomorphism.scala
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Inherited
  1. IsomorphismArrow
  2. IsomorphismCategory
  3. IsomorphismStrong
  4. IsomorphismProfunctor
  5. IsomorphismSplit
  6. IsomorphismCompose
  7. Arrow
  8. ArrowParent
  9. Category
  10. Strong
  11. Profunctor
  12. Split
  13. Compose
  14. AnyRef
  15. Any
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Type Members

  1. trait CategoryLaw extends ComposeLaw

    Definition Classes
    Category
  2. trait ComposeLaw extends AnyRef

    Definition Classes
    Compose
  3. trait ComposePlus extends Plus[[α]=>:[α, α]]

    Attributes
    protected[this]
    Definition Classes
    Compose
  4. trait ComposeSemigroup[A] extends Semigroup[=>:[A, A]]

    Attributes
    protected[this]
    Definition Classes
    Compose
  5. trait SndCovariant[C] extends Functor[[β$0$]=>:[C, β$0$]]

    Attributes
    protected[this]
    Definition Classes
    Profunctor

Abstract Value Members

  1. implicit abstract def G: Arrow[G]

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

    Definition Classes
    IsomorphismProfunctor

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 <<<[A, B, C](fbc: F[B, C], fab: F[A, B]): F[A, C]

    Alias for compose.

    Alias for compose.

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

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

    Definition Classes
    Any
  7. def >>>[A, B, C](fab: F[A, B], fbc: F[B, C]): F[A, C]

    Flipped <<<.

    Flipped <<<.

    Definition Classes
    Arrow
  8. def arr[A, B](f: (A) ⇒ B): F[A, B]

    Lift an ordinary function.

    Lift an ordinary function.

    Definition Classes
    IsomorphismArrowArrow
  9. val arrowSyntax: ArrowSyntax[F]

    Definition Classes
    Arrow
  10. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  11. def categoryLaw: CategoryLaw

    Definition Classes
    Category
  12. val categorySyntax: CategorySyntax[F]

    Definition Classes
    Category
  13. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  14. def combine[A, B, C](fab: F[A, B], fac: F[A, C]): F[A, (B, C)]

    Run fab and fac on the same A.

    Run fab and fac on the same A. Sometimes &&&.

    Definition Classes
    Arrow
  15. def compose[A, B, C](f: F[B, C], g: F[A, B]): F[A, C]

    Associative =>: binary operator.

    Associative =>: binary operator.

    Definition Classes
    IsomorphismComposeCompose
  16. def composeLaw: ComposeLaw

    Definition Classes
    Compose
  17. val composeSyntax: ComposeSyntax[F]

    Definition Classes
    Compose
  18. def contravariantInstance[C]: Contravariant[[α$2$]F[α$2$, C]]

    Definition Classes
    Profunctor
  19. def covariantInstance[C]: Applicative[[β$0$]F[C, β$0$]]

    Definition Classes
    ArrowProfunctor
  20. def dimap[A, B, C, D](fab: F[A, B])(f: (C) ⇒ A)(g: (B) ⇒ D): F[C, D]

    Functor map on A and B.

    Functor map on A and B.

    Definition Classes
    Profunctor
  21. def empty: PlusEmpty[[α]F[α, α]]

    monoid, but universally quantified.

    monoid, but universally quantified.

    Definition Classes
    Category
  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 first[A, B, C](fa: F[A, B]): F[(A, C), (B, C)]

    Definition Classes
    IsomorphismStrongStrong
  26. final def getClass(): Class[_]

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

    Definition Classes
    AnyRef → Any
  28. def id[A]: F[A, A]

    The left and right identity over compose.

    The left and right identity over compose.

    Definition Classes
    IsomorphismCategoryCategory
  29. def invariantFunctor: InvariantFunctor[[α]F[α, α]]

    Definition Classes
    Profunctor
  30. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  31. def mapfst[A, B, C](fab: F[A, B])(f: (C) ⇒ A): F[C, B]

    Contramap on A.

    Contramap on A.

    Definition Classes
    IsomorphismProfunctorProfunctor
  32. def mapsnd[A, B, C](fab: F[A, B])(f: (B) ⇒ C): F[A, C]

    Functor map on B.

    Functor map on B.

    Definition Classes
    IsomorphismProfunctorProfunctor
  33. def monoid[A]: Monoid[F[A, A]]

    The endomorphism monoid, where zero=id and append=compose.

    The endomorphism monoid, where zero=id and append=compose.

    Definition Classes
    Category
  34. final def ne(arg0: AnyRef): Boolean

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

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

    Definition Classes
    AnyRef
  37. def plus: Plus[[α]F[α, α]]

    semigroup, but universally quantified.

    semigroup, but universally quantified.

    Definition Classes
    Compose
  38. def product[A, B](fab: F[A, B]): F[(A, A), (B, B)]

    Run two fabs alongside each other.

    Run two fabs alongside each other.

    Definition Classes
    Arrow
  39. val profunctorSyntax: ProfunctorSyntax[F]

    Definition Classes
    Profunctor
  40. def second[A, B, C](fa: F[A, B]): F[(C, A), (C, B)]

    Definition Classes
    IsomorphismStrongStrong
  41. def semigroup[A]: Semigroup[F[A, A]]

    The endomorphism semigroup, where append=compose.

    The endomorphism semigroup, where append=compose.

    Definition Classes
    Compose
  42. def split[A, B, C, D](f: F[A, B], g: F[C, D]): F[(A, C), (B, D)]

    Definition Classes
    IsomorphismSplitSplit
  43. final def splitA[A, B, C, D](fab: F[A, B], fcd: F[C, D]): F[(A, C), (B, D)]

    Alias for split.

    Alias for split.

    Definition Classes
    Arrow
  44. val splitSyntax: SplitSyntax[F]

    Definition Classes
    Split
  45. val strongSyntax: StrongSyntax[F]

    Definition Classes
    Strong
  46. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  47. def toString(): String

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

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from IsomorphismCategory[F, G]

Inherited from IsomorphismStrong[F, G]

Inherited from IsomorphismProfunctor[F, G]

Inherited from IsomorphismSplit[F, G]

Inherited from IsomorphismCompose[F, G]

Inherited from Arrow[F]

Inherited from ArrowParent[F]

Inherited from Category[F]

Inherited from Strong[F]

Inherited from Profunctor[F]

Inherited from Split[F]

Inherited from Compose[F]

Inherited from AnyRef

Inherited from Any

Ungrouped