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trait Invariant[F[_]] extends Serializable

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

Self Type
Invariant[F]
Source
Invariant.scala
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Abstract Value Members

  1. abstract def imap[A, B](fa: F[A])(f: (A) => B)(g: (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

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
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  2. final def ##: Int
    Definition Classes
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  3. final def ==(arg0: Any): Boolean
    Definition Classes
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  4. final def asInstanceOf[T0]: T0
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  5. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
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    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native()
  6. def compose[G[_]](implicit arg0: Invariant[G]): Invariant[[α]F[G[α]]]

    Compose Invariant F[_] and G[_] then produce Invariant[F[G[_]]] using their imap.

    Compose Invariant F[_] and G[_] then produce Invariant[F[G[_]]] using their imap.

    Example:

    scala> import cats.implicits._
    scala> import scala.concurrent.duration._
    
    scala> val durSemigroupList: Semigroup[List[FiniteDuration]] =
         | Invariant[Semigroup].compose[List].imap(Semigroup[List[Long]])(Duration.fromNanos)(_.toNanos)
    scala> durSemigroupList.combine(List(2.seconds, 3.seconds), List(4.seconds))
    res1: List[FiniteDuration] = List(2 seconds, 3 seconds, 4 seconds)
  7. def composeContravariant[G[_]](implicit arg0: Contravariant[G]): Invariant[[α]F[G[α]]]

    Compose Invariant F[_] and Contravariant G[_] then produce Invariant[F[G[_]]] using F's imap and G's contramap.

    Compose Invariant F[_] and Contravariant G[_] then produce Invariant[F[G[_]]] using F's imap and G's contramap.

    Example:

    scala> import cats.implicits._
    scala> import scala.concurrent.duration._
    
    scala> type ToInt[T] = T => Int
    scala> val durSemigroupToInt: Semigroup[ToInt[FiniteDuration]] =
         | Invariant[Semigroup]
         |   .composeContravariant[ToInt]
         |   .imap(Semigroup[ToInt[Long]])(Duration.fromNanos)(_.toNanos)
    // semantically equal to (2.seconds.toSeconds.toInt + 1) + (2.seconds.toSeconds.toInt * 2) = 7
    scala> durSemigroupToInt.combine(_.toSeconds.toInt + 1, _.toSeconds.toInt * 2)(2.seconds)
    res1: Int = 7
  8. def composeFunctor[G[_]](implicit arg0: Functor[G]): Invariant[[α]F[G[α]]]

    Compose Invariant F[_] and Functor G[_] then produce Invariant[F[G[_]]] using F's imap and G's map.

    Compose Invariant F[_] and Functor G[_] then produce Invariant[F[G[_]]] using F's imap and G's map.

    Example:

    scala> import cats.implicits._
    scala> import scala.concurrent.duration._
    
    scala> val durSemigroupList: Semigroup[List[FiniteDuration]] =
         | Invariant[Semigroup]
         |   .composeFunctor[List]
         |   .imap(Semigroup[List[Long]])(Duration.fromNanos)(_.toNanos)
    scala> durSemigroupList.combine(List(2.seconds, 3.seconds), List(4.seconds))
    res1: List[FiniteDuration] = List(2 seconds, 3 seconds, 4 seconds)
  9. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  10. def equals(arg0: AnyRef): Boolean
    Definition Classes
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  11. def finalize(): Unit
    Attributes
    protected[lang]
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    @throws(classOf[java.lang.Throwable])
  12. final def getClass(): Class[_ <: AnyRef]
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    Annotations
    @native()
  13. def hashCode(): Int
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    @native()
  14. final def isInstanceOf[T0]: Boolean
    Definition Classes
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  15. final def ne(arg0: AnyRef): Boolean
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  16. final def notify(): Unit
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    @native()
  17. final def notifyAll(): Unit
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    @native()
  18. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
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  19. def toString(): String
    Definition Classes
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  20. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  21. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  22. final def wait(arg0: Long): Unit
    Definition Classes
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    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()

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