trait Monoid[A] extends Semigroup[A]

A monoid is a semigroup with an identity. A monoid is a specialization of a semigroup, so its operation must be associative. Additionally, op(x, id) == op(id, x) == x. For example, if we have Monoid[String], with op as string concatenation, then id = "".

Linear Supertypes
Semigroup[A], Any
Known Subclasses
AbGroup, CMonoid, Group, SignAlgebra, MapIntIntGroup, IterableMonoid, MapGroup, MapMonoid, OptionCMonoid, OptionMonoid, StringMonoid, UnitAbGroup, UnitAlgebra
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Inherited
  1. Monoid
  2. Semigroup
  3. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def getClass(): Class[_]
    Definition Classes
    Any
  2. abstract def id: A

    Return the identity element for this monoid.

  3. abstract def op(x: A, y: A): A
    Definition Classes
    Semigroup

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    Any
  2. final def ##(): Int
    Definition Classes
    Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    Any
  4. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  5. def combine(as: TraversableOnce[A]): A

    Given a sequence of as, combine them using the monoid and return the total.

  6. def combineOption(as: TraversableOnce[A]): Option[A]

    Given a sequence of as, combine them using the semigroup and return the total.

    Given a sequence of as, combine them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    Semigroup
  7. def combinen(a: A, n: Int): A

    Return a combined with itself n times.

    Return a combined with itself n times.

    Definition Classes
    Monoid → Semigroup
  8. def combinenAboveOne(a: A, n: Int): A
    Attributes
    protected
    Definition Classes
    Semigroup
  9. def equals(arg0: Any): Boolean
    Definition Classes
    Any
  10. def hashCode(): Int
    Definition Classes
    Any
  11. def isId(a: A)(implicit ev: Eq[A]): Boolean

    Tests if a is the identity.

  12. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  13. def toString(): String
    Definition Classes
    Any

Inherited from Semigroup[A]

Inherited from Any

Ungrouped