Trait/Object

scalaz

InvariantFunctor

Related Docs: object InvariantFunctor | package scalaz

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trait InvariantFunctor[F[_]] extends AnyRef

Unary type constructor that supports an xmap operation that converts an F[A] to an F[B] given two functions, A => B and B => A.

An invariant functor must satisfy two laws:

Also known as an exponential functor.

Self Type
InvariantFunctor[F]
Source
InvariantFunctor.scala
See also

scalaz.InvariantFunctor.InvariantFunctorLaw

http://comonad.com/reader/2008/rotten-bananas/

https://hackage.haskell.org/packages/archive/invariant/latest/doc/html/Data-Functor-Invariant.html

Linear Supertypes
AnyRef, Any
Known Subclasses
Align, Alt, Applicative, ApplicativeError, ApplicativePlus, Apply, Bind, BindRec, Cobind, Comonad, ComonadStore, Contravariant, Decidable, Distributive, Divide, Divisible, FlippedApply, Functor, InvariantAlt, InvariantApplicative, IsomorphismAlign, IsomorphismAlt, IsomorphismApplicative, IsomorphismApplicativeError, IsomorphismApplicativePlus, IsomorphismApply, IsomorphismBind, IsomorphismBindRec, IsomorphismCobind, IsomorphismComonad, IsomorphismComonadStore, IsomorphismContravariant, IsomorphismDecidable, IsomorphismDistributive, IsomorphismDivide, IsomorphismDivisible, IsomorphismFunctor, IsomorphismInvariantAlt, IsomorphismInvariantApplicative, IsomorphismInvariantFunctor, IsomorphismMonad, IsomorphismMonadCatchIO, IsomorphismMonadControlIO, IsomorphismMonadError, IsomorphismMonadIO, IsomorphismMonadPlus, IsomorphismMonadReader, IsomorphismMonadState, IsomorphismMonadTell, IsomorphismNondeterminism, IsomorphismTraverse, IsomorphismTraverse1, Monad, MonadCatchIO, MonadControlIO, MonadError, MonadIO, MonadListen, MonadPlus, MonadReader, MonadState, MonadTell, Nondeterminism, RegionTMonad, SemigroupApply, SndCovariant, Traverse, Traverse1
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Inherited
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Type Members

  1. trait InvariantFunctorLaw extends AnyRef

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Abstract Value Members

  1. abstract def xmap[A, B](ma: F[A], f: (A) ⇒ B, g: (B) ⇒ A): F[B]

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    Converts ma to a value of type F[B] using the provided functions f and g.

Concrete Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  4. final def asInstanceOf[T0]: T0

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  5. def clone(): AnyRef

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    Attributes
    protected[java.lang]
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    @throws( ... )

  6. final def eq(arg0: AnyRef): Boolean

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  7. def equals(arg0: Any): Boolean

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  8. def finalize(): Unit

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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )

  9. final def getClass(): Class[_]

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  10. def hashCode(): Int

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    Definition Classes
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  11. def invariantFunctorLaw: InvariantFunctorLaw

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  12. val invariantFunctorSyntax: InvariantFunctorSyntax[F]

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  13. final def isInstanceOf[T0]: Boolean

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  14. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
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  15. final def notify(): Unit

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  16. final def notifyAll(): Unit

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  17. final def synchronized[T0](arg0: ⇒ T0): T0

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  18. def toString(): String

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  19. final def wait(): Unit

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    @throws( ... )

  20. final def wait(arg0: Long, arg1: Int): Unit

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    @throws( ... )

  21. final def wait(arg0: Long): Unit

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    @throws( ... )

  22. def xmapb[A, B](ma: F[A])(b: Bijection[A, B]): F[B]

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    Converts ma to a value of type F[B] using the provided bijection.

  23. def xmapi[A, B](ma: F[A])(iso: Isomorphism.<=>[A, B]): F[B]

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    Converts ma to a value of type F[B] using the provided isomorphism.

Inherited from AnyRef

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