trait Rng[A] extends Semiring[A] with AdditiveCommutativeGroup[A]

Rng (pronounced "Rung") consists of:

  • a commutative group for addition (+)
  • a semigroup for multiplication (*)

Alternately, a Rng can be thought of as a ring without a multiplicative identity (or as a semiring with an additive inverse).

Mnemonic: "Rng is a Ring without multiplicative 'I'dentity."

Source
Rng.scala
Linear Supertypes
AdditiveCommutativeGroup[A], AdditiveGroup[A], Semiring[A], MultiplicativeSemigroup[A], AdditiveCommutativeMonoid[A], AdditiveCommutativeSemigroup[A], AdditiveMonoid[A], AdditiveSemigroup[A], Serializable, Serializable, Any
Known Subclasses
BigDecimalAlgebra, BigIntAlgebra, ByteAlgebra, DoubleAlgebra, FloatAlgebra, IntAlgebra, LongAlgebra, SetBoolRng, ShortAlgebra, UnitAlgebra, BoolRing, BoolRng, CommutativeRing, CommutativeRng, Field, Ring
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Rng
  2. AdditiveCommutativeGroup
  3. AdditiveGroup
  4. Semiring
  5. MultiplicativeSemigroup
  6. AdditiveCommutativeMonoid
  7. AdditiveCommutativeSemigroup
  8. AdditiveMonoid
  9. AdditiveSemigroup
  10. Serializable
  11. Serializable
  12. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def getClass(): Class[_]
    Definition Classes
    Any
  2. abstract def negate(x: A): A
    Definition Classes
    AdditiveGroup
  3. abstract def plus(x: A, y: A): A
    Definition Classes
    AdditiveSemigroup
  4. abstract def times(x: A, y: A): A
    Definition Classes
    MultiplicativeSemigroup
  5. abstract def zero: A
    Definition Classes
    AdditiveMonoid

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. def additive: CommutativeGroup[A]
    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  5. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  6. def equals(arg0: Any): Boolean
    Definition Classes
    Any
  7. def hashCode(): Int
    Definition Classes
    Any
  8. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  9. def isZero(a: A)(implicit ev: Eq[A]): Boolean

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  10. def minus(x: A, y: A): A
    Definition Classes
    AdditiveGroup
  11. def multiplicative: Semigroup[A]
    Definition Classes
    MultiplicativeSemigroup
  12. def positivePow(a: A, n: Int): A
    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup
  13. def positiveSumN(a: A, n: Int): A
    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup
  14. def pow(a: A, n: Int): A
    Definition Classes
    MultiplicativeSemigroup
  15. def sum(as: TraversableOnce[A]): A

    Given a sequence of as, compute the sum.

    Given a sequence of as, compute the sum.

    Definition Classes
    AdditiveMonoid
  16. def sumN(a: A, n: Int): A
    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
  17. def toString(): String
    Definition Classes
    Any
  18. def tryProduct(as: TraversableOnce[A]): Option[A]

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

    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
    AdditiveMonoid → AdditiveSemigroup

Inherited from AdditiveCommutativeGroup[A]

Inherited from AdditiveGroup[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