scalaz

Isomorphism

object Isomorphism extends Isomorphisms

Source
Isomorphism.scala
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  1. Isomorphism
  2. Isomorphisms
  3. IsomorphismsLow0
  4. IsomorphismsLow1
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Type Members

  1. type <=>[A, B] = Iso[Function1, A, B]

    Alias for IsoSet

    Alias for IsoSet

    Definition Classes
    Isomorphisms
  2. type <~>[F[_], G[_]] = Iso2[NaturalTransformation, F, G]

    Alias for IsoFunctor

    Alias for IsoFunctor

    Definition Classes
    Isomorphisms
  3. type <~~>[F[_, _], G[_, _]] = Iso3[~~>, F, G]

    Alias for IsoBifunctor

    Alias for IsoBifunctor

    Definition Classes
    Isomorphisms
  4. trait Iso[Arr[_, _], A, B] extends AnyRef

    Isomorphism for arrows of kind * -> * -> *

  5. trait Iso2[Arr[_[_], _[_]], F[_], G[_]] extends AnyRef

    Isomorphism for arrows of kind (* -> *) -> (* -> *) -> *

  6. trait Iso3[Arr[_[_, _], _[_, _]], F[_, _], G[_, _]] extends AnyRef

    Isomorphism for arrows of kind (* -> * -> *) -> (* -> * -> *) -> *

  7. type IsoBifunctor[F[_, _], G[_, _]] = Iso3[~~>, F, G]

    Definition Classes
    Isomorphisms
  8. trait IsoBifunctorTemplate[F[_, _], G[_, _]] extends IsoBifunctor[F, G]

    Convenience template trait to implement <~~>

  9. type IsoFunctor[F[_], G[_]] = Iso2[NaturalTransformation, F, G]

    Natural isomorphism between functors

    Natural isomorphism between functors

    Definition Classes
    Isomorphisms
  10. trait IsoFunctorTemplate[F[_], G[_]] extends IsoFunctor[F, G]

    Convenience template trait to implement <~>

  11. type IsoSet[A, B] = Iso[Function1, A, B]

    Set isomorphism

    Set isomorphism

    Definition Classes
    Isomorphisms

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. final def asInstanceOf[T0]: T0

    Definition Classes
    Any
  7. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  8. final def eq(arg0: AnyRef): Boolean

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

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

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  11. final def getClass(): Class[_]

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

    Definition Classes
    AnyRef → Any
  13. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any
  14. implicit def isoCommutative[A, B](implicit i: <=>[A, B]): <=>[B, A]

    Set isomorphism is commutative

    Set isomorphism is commutative

    Definition Classes
    IsomorphismsLow1
  15. implicit def isoNaturalCommutative[F[_], G[_]](implicit i: <~>[F, G]): <~>[G, F]

    Natural isomorphism is commutative

    Natural isomorphism is commutative

    Definition Classes
    IsomorphismsLow1
  16. implicit def isoNaturalRefl[F[_]]: <~>[F, F]

    Natural isomorphism is reflexive

    Natural isomorphism is reflexive

    Definition Classes
    IsomorphismsLow0
  17. implicit def isoRefl[A]: <=>[A, A]

    Set isomorphism is reflexive

    Set isomorphism is reflexive

    Definition Classes
    IsomorphismsLow0
  18. final def ne(arg0: AnyRef): Boolean

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

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

    Definition Classes
    AnyRef
  21. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  22. def toString(): String

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

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

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Isomorphisms

Inherited from IsomorphismsLow0

Inherited from IsomorphismsLow1

Inherited from AnyRef

Inherited from Any

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