Trait/Object

scalaz

Semigroup

Related Docs: object Semigroup | package scalaz

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trait Semigroup[F] extends AnyRef

An associative binary operation, circumscribed by type and the semigroup laws. Unlike scalaz.Monoid, there is not necessarily a zero.

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

http://mathworld.wolfram.com/Semigroup.html

scalaz.syntax.SemigroupOps

scalaz.Semigroup.SemigroupLaw

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Type Members

  1. trait SemigroupApply extends Apply[[α]F]

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    protected[this]
  2. trait SemigroupCompose extends Compose[[α, β]F]

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    protected[this]
  3. trait SemigroupLaw extends AnyRef

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    A semigroup in type F must satisfy two laws:

    A semigroup in type F must satisfy two laws:

    • closure: ∀ a, b in F, append(a, b) is also in F. This is enforced by the type system.
    • associativity: ∀ a, b, c in F, the equation append(append(a, b), c) = append(a, append(b , c)) holds.

Abstract Value Members

  1. abstract def append(f1: F, f2: ⇒ F): F

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    The binary operation to combine f1 and f2.

    The binary operation to combine f1 and f2.

    Implementations should not evaluate the by-name parameter f2 if result can be determined by f1.

Concrete Value Members

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

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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 apply: Apply[[α]F]

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    An scalaz.Apply, that implements ap with append.

    An scalaz.Apply, that implements ap with append. Note that the type parameter α in Apply[({type λ[α]=F})#λ] is discarded; it is a phantom type. As such, the functor cannot support scalaz.Bind.

  5. final def asInstanceOf[T0]: T0

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  6. def clone(): AnyRef

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  7. final def compose: Compose[[α, β]F]

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    Every Semigroup gives rise to a scalaz.Compose, for which the type parameters are phantoms.

    Every Semigroup gives rise to a scalaz.Compose, for which the type parameters are phantoms.

    Note

    compose.semigroup = this

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

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  9. def equals(arg0: Any): Boolean

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  10. def finalize(): Unit

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

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  12. def hashCode(): Int

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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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  15. final def notify(): Unit

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  16. final def notifyAll(): Unit

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  17. def semigroupLaw: SemigroupLaw

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  18. val semigroupSyntax: SemigroupSyntax[F]

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

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  20. def toString(): String

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  21. final def wait(): Unit

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

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

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