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:
- identity - xmap(ma)(identity, identity) == ma
- composite - xmap(xmap(ma, f1, g1), f2, g2) == xmap(ma, f2 compose f1, g1, compose g2)
Also known as an exponential functor.
- Self Type
- InvariantFunctor[F]
- Source
- InvariantFunctor.scala
- See also
https://hackage.haskell.org/packages/archive/invariant/latest/doc/html/Data-Functor-Invariant.html
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- trait InvariantFunctorLaw extends AnyRef
Abstract Value Members
- abstract def xmap[A, B](ma: F[A], f: (A) ⇒ B, g: (B) ⇒ A): F[B]
Converts
mato a value of typeF[B]using the provided functionsfandg.
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- final def !=(arg0: Any): Boolean
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- def invariantFunctorLaw: InvariantFunctorLaw
- val invariantFunctorSyntax: InvariantFunctorSyntax[F]
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- def xmapb[A, B](ma: F[A])(b: Bijection[A, B]): F[B]
Converts
mato a value of typeF[B]using the provided bijection. - def xmapi[A, B](ma: F[A])(iso: Isomorphism.<=>[A, B]): F[B]
Converts
mato a value of typeF[B]using the provided isomorphism.