spire.algebra

Group

trait Group[A] extends Monoid[A]

A group is a monoid where each element has an inverse.

Linear Supertypes
Monoid[A], Semigroup[A], Any
Known Subclasses
AbGroup, MapGroup, MapIntIntGroup, UnitAbGroup, UnitAlgebra
Ordering
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Inherited
  1. Group
  2. Monoid
  3. Semigroup
  4. 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.

    Return the identity element for this monoid.

    Definition Classes
    Monoid

  3. abstract def inverse(a: A): A

    Return the inverse of a.

  4. 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.

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

    Definition Classes
    Monoid

  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
    Group → 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.

    Tests if a is the identity.

    Definition Classes
    Monoid

  12. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  13. def opInverse(a: A, b: A): A

    Combine a with the inverse of b.

  14. def toString(): String

    Definition Classes
    Any

Inherited from Monoid[A]

Inherited from Semigroup[A]

Inherited from Any

Ungrouped