Packages

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

    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

    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
    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
    @throws( ... )
  6. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  7. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  8. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  9. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  10. def hashCode(): Int
    Definition Classes
    AnyRef → Any
  11. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  12. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  13. final def notify(): Unit
    Definition Classes
    AnyRef
  14. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  15. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  16. def toString(): String
    Definition Classes
    AnyRef → Any
  17. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  18. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  19. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Associative[A]

Inherited from AnyRef

Inherited from Any

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