Trait/Object

algebra.ring

CommutativeRig

Related Docs: object CommutativeRig | package ring

Permalink

trait CommutativeRig[A] extends Rig[A] with MultiplicativeCommutativeMonoid[A]

CommutativeRig is a Rig that is commutative under multiplication.

Linear Supertypes
MultiplicativeCommutativeMonoid[A], MultiplicativeCommutativeSemigroup[A], Rig[A], MultiplicativeMonoid[A], Semiring[A], MultiplicativeSemigroup[A], AdditiveCommutativeMonoid[A], AdditiveCommutativeSemigroup[A], AdditiveMonoid[A], AdditiveSemigroup[A], Serializable, Serializable, Any
Known Subclasses
BoolRing, CommutativeRing, EuclideanRing, Field
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. CommutativeRig
  2. MultiplicativeCommutativeMonoid
  3. MultiplicativeCommutativeSemigroup
  4. Rig
  5. MultiplicativeMonoid
  6. Semiring
  7. MultiplicativeSemigroup
  8. AdditiveCommutativeMonoid
  9. AdditiveCommutativeSemigroup
  10. AdditiveMonoid
  11. AdditiveSemigroup
  12. Serializable
  13. Serializable
  14. Any
  1. Hide All
  2. Show all
Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def getClass(): Class[_]

    Permalink
    Definition Classes
    Any

  2. abstract def one: A

    Permalink
    Definition Classes
    MultiplicativeMonoid

  3. abstract def plus(x: A, y: A): A

    Permalink
    Definition Classes
    AdditiveSemigroup

  4. abstract def times(x: A, y: A): A

    Permalink
    Definition Classes
    MultiplicativeSemigroup

  5. abstract def zero: A

    Permalink
    Definition Classes
    AdditiveMonoid

Concrete Value Members

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

    Permalink
    Definition Classes
    Any

  2. final def ##(): Int

    Permalink
    Definition Classes
    Any

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

    Permalink
    Definition Classes
    Any

  4. def additive: CommutativeMonoid[A]

    Permalink
    Definition Classes
    AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveMonoid → AdditiveSemigroup

  5. final def asInstanceOf[T0]: T0

    Permalink
    Definition Classes
    Any

  6. def equals(arg0: Any): Boolean

    Permalink
    Definition Classes
    Any

  7. def hashCode(): Int

    Permalink
    Definition Classes
    Any

  8. final def isInstanceOf[T0]: Boolean

    Permalink
    Definition Classes
    Any

  9. def isOne(a: A)(implicit ev: Eq[A]): Boolean

    Permalink

    Tests if a is one.

    Tests if a is one.

    Definition Classes
    MultiplicativeMonoid

  10. def isZero(a: A)(implicit ev: Eq[A]): Boolean

    Permalink

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid

  11. def multiplicative: CommutativeMonoid[A]

    Permalink
    Definition Classes
    MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup

  12. def positivePow(a: A, n: Int): A

    Permalink
    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  13. def positiveSumN(a: A, n: Int): A

    Permalink
    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

  14. def pow(a: A, n: Int): A

    Permalink
    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  15. def product(as: TraversableOnce[A]): A

    Permalink

    Given a sequence of as, compute the product.

    Given a sequence of as, compute the product.

    Definition Classes
    MultiplicativeMonoid

  16. def sum(as: TraversableOnce[A]): A

    Permalink

    Given a sequence of as, compute the sum.

    Given a sequence of as, compute the sum.

    Definition Classes
    AdditiveMonoid

  17. def sumN(a: A, n: Int): A

    Permalink
    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

  18. def toString(): String

    Permalink
    Definition Classes
    Any

  19. def tryProduct(as: TraversableOnce[A]): Option[A]

    Permalink

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

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

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

    Definition Classes
    MultiplicativeSemigroup

  20. def trySum(as: TraversableOnce[A]): Option[A]

    Permalink

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

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

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

    Definition Classes
    AdditiveSemigroup

Inherited from MultiplicativeCommutativeMonoid[A]

Inherited from MultiplicativeCommutativeSemigroup[A]

Inherited from Rig[A]

Inherited from MultiplicativeMonoid[A]

Inherited from Semiring[A]

Inherited from MultiplicativeSemigroup[A]

Inherited from AdditiveCommutativeMonoid[A]

Inherited from AdditiveCommutativeSemigroup[A]

Inherited from AdditiveMonoid[A]

Inherited from AdditiveSemigroup[A]

Inherited from Serializable

Inherited from Serializable

Inherited from Any

Ungrouped