Trait/Object

algebra.ring

Rng

Related Docs: object Rng | package ring

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

Rng (pronounced "Rung") consists of:

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."

Linear Supertypes
AdditiveCommutativeGroup[A], AdditiveGroup[A], Semiring[A], MultiplicativeSemigroup[A], AdditiveCommutativeMonoid[A], AdditiveCommutativeSemigroup[A], AdditiveMonoid[A], AdditiveSemigroup[A], Serializable, Serializable, Any
Known Subclasses
BoolRing, BoolRng, CommutativeRing, EuclideanRing, 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[_]

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    Definition Classes
    Any

  2. abstract def negate(x: A): A

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    Definition Classes
    AdditiveGroup

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

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    Definition Classes
    AdditiveSemigroup

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

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    Definition Classes
    MultiplicativeSemigroup

  5. abstract def zero: A

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    Definition Classes
    AdditiveMonoid

Concrete Value Members

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

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    Definition Classes
    Any

  2. final def ##(): Int

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    Definition Classes
    Any

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

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    Definition Classes
    Any

  4. def additive: CommutativeGroup[A]

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    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  5. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  6. def equals(arg0: Any): Boolean

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    Definition Classes
    Any

  7. def hashCode(): Int

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    Definition Classes
    Any

  8. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

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

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    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid

  10. def minus(x: A, y: A): A

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    Definition Classes
    AdditiveGroup

  11. def multiplicative: Semigroup[A]

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    Definition Classes
    MultiplicativeSemigroup

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

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    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

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

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    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

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

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    Definition Classes
    MultiplicativeSemigroup

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

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    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

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    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  17. def toString(): String

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    Definition Classes
    Any

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

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    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]

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    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 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