spire.math

PolynomialRng

trait PolynomialRng[C] extends PolynomialSemiring[C] with RingAlgebra[Polynomial[C], C]

Linear Supertypes
RingAlgebra[Polynomial[C], C], Rng[Polynomial[C]], Module[Polynomial[C], C], AdditiveAbGroup[Polynomial[C]], AdditiveCMonoid[Polynomial[C]], AdditiveCSemigroup[Polynomial[C]], AdditiveGroup[Polynomial[C]], PolynomialSemiring[C], Semiring[Polynomial[C]], MultiplicativeSemigroup[Polynomial[C]], AdditiveMonoid[Polynomial[C]], AdditiveSemigroup[Polynomial[C]], AnyRef, Any
Known Subclasses
PolynomialEuclideanRing, PolynomialRing
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. PolynomialRng
  2. RingAlgebra
  3. Rng
  4. Module
  5. AdditiveAbGroup
  6. AdditiveCMonoid
  7. AdditiveCSemigroup
  8. AdditiveGroup
  9. PolynomialSemiring
  10. Semiring
  11. MultiplicativeSemigroup
  12. AdditiveMonoid
  13. AdditiveSemigroup
  14. AnyRef
  15. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. implicit abstract def ct: ClassTag[C]

    Definition Classes
    PolynomialSemiring

  2. implicit abstract def eq: Eq[C]

    Definition Classes
    PolynomialSemiring

  3. implicit abstract val scalar: Rng[C]

    Definition Classes
    PolynomialRng → Module → PolynomialSemiring

Concrete Value Members

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

    Definition Classes
    AnyRef → Any

  2. final def ##(): Int

    Definition Classes
    AnyRef → Any

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

    Definition Classes
    AnyRef → Any

  4. def additive: AbGroup[Polynomial[C]]

    Definition Classes
    AdditiveAbGroup → AdditiveCMonoid → AdditiveCSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  5. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  6. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  7. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  8. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  9. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  10. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any

  11. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  12. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  13. def minus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

    Definition Classes
    AdditiveGroup

  14. def multiplicative: Semigroup[Polynomial[C]]

    Definition Classes
    MultiplicativeSemigroup

  15. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  16. def negate(x: Polynomial[C]): Polynomial[C]

    Definition Classes
    PolynomialRng → AdditiveGroup

  17. final def notify(): Unit

    Definition Classes
    AnyRef

  18. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  19. def plus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

    Definition Classes
    PolynomialSemiring → AdditiveSemigroup

  20. def pow(a: Polynomial[C], n: Int): Polynomial[C]

    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

  21. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef

  22. def times(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

    Definition Classes
    PolynomialSemiring → MultiplicativeSemigroup

  23. def timesl(r: C, v: Polynomial[C]): Polynomial[C]

    Definition Classes
    PolynomialRng → Module

  24. def timesr(v: Polynomial[C], r: C): Polynomial[C]

    Definition Classes
    Module

  25. def toString(): String

    Definition Classes
    AnyRef → Any

  26. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  27. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  28. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  29. def zero: Polynomial[C]

    Definition Classes
    PolynomialSemiring → AdditiveMonoid

Inherited from RingAlgebra[Polynomial[C], C]

Inherited from Rng[Polynomial[C]]

Inherited from Module[Polynomial[C], C]

Inherited from AdditiveAbGroup[Polynomial[C]]

Inherited from AdditiveCMonoid[Polynomial[C]]

Inherited from AdditiveCSemigroup[Polynomial[C]]

Inherited from AdditiveGroup[Polynomial[C]]

Inherited from PolynomialSemiring[C]

Inherited from Semiring[Polynomial[C]]

Inherited from MultiplicativeSemigroup[Polynomial[C]]

Inherited from AdditiveMonoid[Polynomial[C]]

Inherited from AdditiveSemigroup[Polynomial[C]]

Inherited from AnyRef

Inherited from Any

Ungrouped