Trait/Object

spire.algebra

Rng

Related Docs: object Rng | package algebra

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

Rng is a ring whose multiplicative structure doesn't have an identity (i.e. it is semigroup, not a monoid). Put another way, a Rng is a Ring without an identity.

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Inherited
  1. Rng
  2. AdditiveAbGroup
  3. AdditiveCMonoid
  4. AdditiveCSemigroup
  5. AdditiveGroup
  6. Semiring
  7. MultiplicativeSemigroup
  8. AdditiveMonoid
  9. AdditiveSemigroup
  10. Any
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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: AbGroup[A]

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  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 pow(a: A, n: Int): A

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    Returns a multiplied with itself n times.

    Returns a multiplied with itself n times. For instance, a pow 3 === a * a * a. Since this is a semiring, there is no notion of a multiplicative identity, and so the exponent must be positive.

    Definition Classes
    Semiring
  13. def prodOption(as: TraversableOnce[A]): Option[A]

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

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

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

    Definition Classes
    MultiplicativeSemigroup
  14. def prodn(a: A, n: Int): A

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    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes
    MultiplicativeSemigroup
  15. def prodnAboveOne(a: A, n: Int): A

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    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  16. def sum(as: TraversableOnce[A]): A

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

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

    Definition Classes
    AdditiveMonoid
  17. def sumOption(as: TraversableOnce[A]): Option[A]

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

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

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

    Definition Classes
    AdditiveSemigroup
  18. def sumn(a: A, n: Int): A

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    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroupAdditiveMonoidAdditiveSemigroup
  19. def sumnAboveOne(a: A, n: Int): A

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    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  20. def toString(): String

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    Definition Classes
    Any

Inherited from AdditiveAbGroup[A]

Inherited from AdditiveCMonoid[A]

Inherited from AdditiveCSemigroup[A]

Inherited from AdditiveGroup[A]

Inherited from Semiring[A]

Inherited from MultiplicativeSemigroup[A]

Inherited from AdditiveMonoid[A]

Inherited from AdditiveSemigroup[A]

Inherited from Any

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