Trait/Object

org.scalactic.algebra

Monoid

Related Docs: object Monoid | package algebra

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trait Monoid[A] extends Associative[A]

Typeclass trait representing a binary operation that obeys the associative law and an identity element that obeys the left and right identity laws.

The associative law states that given values a, b, and c of type A (and implicit Monoid.adapters imported):

((a combine b) combine c) === (a combine (b combine c))

The left identity law states that given the identity value, z, and any other value, a, of type A (and implicit Monoid.adapters imported):

(z combine a) === a

An similarly, the right identity law states that given the same values and implicit:

(a combine z) === a

Source
Monoid.scala
Linear Supertypes
Associative[A], AnyRef, Any
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Abstract Value Members

  1. abstract def combine(a1: A, a2: A): A

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    A binary operation that obeys the associative law.

    A binary operation that obeys the associative law.

    See the main documentation for this trait for more detail.

    Definition Classes
    Associative

  2. abstract def z: A

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    The identity element.

    The identity element.

    Passing the identity element, z, to combine along with any other value, a, of type A will result in the same value, a. See the main documentation for this trait for more detail.

Concrete Value Members

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

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    Definition Classes
    AnyRef → Any

  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any

  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  4. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  5. def clone(): AnyRef

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

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

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    Definition Classes
    AnyRef

  7. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  8. def finalize(): Unit

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

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

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    Definition Classes
    AnyRef → Any

  10. def hashCode(): Int

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    Definition Classes
    AnyRef → Any

  11. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

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

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    Definition Classes
    AnyRef

  13. final def notify(): Unit

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    Definition Classes
    AnyRef

  14. final def notifyAll(): Unit

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    Definition Classes
    AnyRef

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

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    AnyRef

  16. def toString(): String

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  17. final def wait(): Unit

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    AnyRef
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    @throws( ... )

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

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    Definition Classes
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    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
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    @throws( ... )

Inherited from Associative[A]

Inherited from AnyRef

Inherited from Any

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