scalaz

Semigroup

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

Linear Supertypes
AnyRef, Any
Known Subclasses
ApplicativeSemigroup, ComposeSemigroup, IsomorphismMonoid, IsomorphismSemigroup, Monoid, conjunction, disjunction, stringInstance
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Type Members

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

    Attributes
    protected[this]

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

    Attributes
    protected[this]

  3. trait SemigroupLaw extends AnyRef

    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

    The binary operation to combine f1 and f2.

    The binary operation to combine f1 and f2.

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

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
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  4. final def apply: Apply[[α]F]

    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

    Definition Classes
    Any

  6. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    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

    Definition Classes
    AnyRef

  9. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  10. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
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    Annotations
    @throws( classOf[java.lang.Throwable] )

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

    Definition Classes
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  12. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  13. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

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

    Definition Classes
    AnyRef

  15. final def notify(): Unit

    Definition Classes
    AnyRef

  16. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  17. def semigroupLaw: SemigroupLaw

  18. val semigroupSyntax: SemigroupSyntax[F]

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

    Definition Classes
    AnyRef

  20. def toString(): String

    Definition Classes
    AnyRef → Any

  21. final def wait(): Unit

    Definition Classes
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    @throws( ... )

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

    Definition Classes
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    Annotations
    @throws( ... )

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

    Definition Classes
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    Annotations
    @throws( ... )

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