trait ContravariantMonoidal[F[_]] extends ContravariantSemigroupal[F] with InvariantMonoidal[F] with Serializable

ContravariantMonoidal functors are functors that supply a unit along the diagonal map for the contramap2 operation.

Must obey the laws defined in cats.laws.ContravariantMonoidalLaws.

Based on ekmett's contravariant library: https://hackage.haskell.org/package/contravariant-1.4/docs/Data-Functor-Contravariant-Divisible.html

Source
ContravariantMonoidal.scala
Ordering
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Inherited
  1. ContravariantMonoidal
  2. InvariantMonoidal
  3. ContravariantSemigroupal
  4. Contravariant
  5. InvariantSemigroupal
  6. Invariant
  7. Semigroupal
  8. Serializable
  9. Serializable
  10. AnyRef
  11. Any
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Visibility
  1. Public
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Abstract Value Members

  1. abstract def contramap[A, B](fa: F[A])(f: (B) ⇒ A): F[B]
    Definition Classes
    Contravariant
  2. abstract def product[A, B](fa: F[A], fb: F[B]): F[(A, B)]

    Combine an F[A] and an F[B] into an F[(A, B)] that maintains the effects of both fa and fb.

    Combine an F[A] and an F[B] into an F[(A, B)] that maintains the effects of both fa and fb.

    Example:

    scala> import cats.implicits._
    
    scala> val noneInt: Option[Int] = None
    scala> val some3: Option[Int] = Some(3)
    scala> val noneString: Option[String] = None
    scala> val someFoo: Option[String] = Some("foo")
    
    scala> Semigroupal[Option].product(noneInt, noneString)
    res0: Option[(Int, String)] = None
    
    scala> Semigroupal[Option].product(noneInt, someFoo)
    res1: Option[(Int, String)] = None
    
    scala> Semigroupal[Option].product(some3, noneString)
    res2: Option[(Int, String)] = None
    
    scala> Semigroupal[Option].product(some3, someFoo)
    res3: Option[(Int, String)] = Some((3,foo))
    Definition Classes
    Semigroupal
  3. abstract def unit: F[Unit]
    Definition Classes
    InvariantMonoidal

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  5. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  6. def compose[G[_]](implicit arg0: Contravariant[G]): Functor[[α]F[G[α]]]
    Definition Classes
    Contravariant
  7. def compose[G[_]](implicit arg0: Invariant[G]): Invariant[[α]F[G[α]]]
    Definition Classes
    Invariant
  8. def composeApply[G[_]](implicit arg0: Apply[G]): InvariantSemigroupal[[α]F[G[α]]]
    Definition Classes
    InvariantSemigroupal
  9. def composeContravariant[G[_]](implicit arg0: Contravariant[G]): Invariant[[α]F[G[α]]]
    Definition Classes
    Invariant
  10. def composeFunctor[G[_]](implicit arg0: Functor[G]): ContravariantSemigroupal[[α]F[G[α]]]
  11. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  12. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  13. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  14. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  15. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  16. def imap[A, B](fa: F[A])(f: (A) ⇒ B)(fi: (B) ⇒ A): F[B]

    Transform an F[A] into an F[B] by providing a transformation from A to B and one from B to A.

    Transform an F[A] into an F[B] by providing a transformation from A to B and one from B to A.

    Example:

    scala> import cats.implicits._
    scala> import scala.concurrent.duration._
    scala> val durSemigroup: Semigroup[FiniteDuration] =
         | Invariant[Semigroup].imap(Semigroup[Long])(Duration.fromNanos)(_.toNanos)
    scala> durSemigroup.combine(2.seconds, 3.seconds)
    res1: FiniteDuration = 5 seconds
    Definition Classes
    ContravariantInvariant
  17. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  18. def liftContravariant[A, B](f: (A) ⇒ B): (F[B]) ⇒ F[A]
    Definition Classes
    Contravariant
  19. def narrow[A, B <: A](fa: F[A]): F[B]

    Lifts natural subtyping contravariance of contravariant Functors.

    Lifts natural subtyping contravariance of contravariant Functors. could be implemented as contramap(identity), but the Functor laws say this is equivalent

    Definition Classes
    Contravariant
  20. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  21. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  22. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  23. def point[A](a: A): F[A]

    point lifts any value into a Monoidal Functor.

    point lifts any value into a Monoidal Functor.

    Example:

    scala> import cats.implicits._
    
    scala> InvariantMonoidal[Option].point(10)
    res0: Option[Int] = Some(10)
    Definition Classes
    InvariantMonoidal
  24. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  25. def toString(): String
    Definition Classes
    AnyRef → Any
  26. def trivial[A]: F[A]

    trivial produces an instance of F for any type A that is trivial with respect to contramap2 along the diagonal

  27. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  28. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  29. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )

Inherited from InvariantMonoidal[F]

Inherited from ContravariantSemigroupal[F]

Inherited from Contravariant[F]

Inherited from InvariantSemigroupal[F]

Inherited from Invariant[F]

Inherited from Semigroupal[F]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

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