spire.math

PolynomialRng

Related Doc: package math

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

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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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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
    PolynomialRngModulePolynomialSemiring

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]]

  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 isZero(a: Polynomial[C])(implicit ev: Eq[Polynomial[C]]): Boolean

    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  14. def minus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

    Definition Classes
    AdditiveGroup
  15. def multiplicative: Semigroup[Polynomial[C]]

    Definition Classes
    MultiplicativeSemigroup
  16. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef
  17. def negate(x: Polynomial[C]): Polynomial[C]

    Definition Classes
    PolynomialRngAdditiveGroup
  18. final def notify(): Unit

    Definition Classes
    AnyRef
  19. final def notifyAll(): Unit

    Definition Classes
    AnyRef
  20. def plus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

    Definition Classes
    PolynomialSemiringAdditiveSemigroup
  21. 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
  22. def prodOption(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]

    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
  23. def prodn(a: Polynomial[C], n: Int): Polynomial[C]

    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes
    MultiplicativeSemigroup
  24. def prodnAboveOne(a: Polynomial[C], n: Int): Polynomial[C]

    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  25. def sum(as: TraversableOnce[Polynomial[C]]): Polynomial[C]

    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
  26. def sumOption(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]

    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
  27. def sumn(a: Polynomial[C], n: Int): Polynomial[C]

    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroupAdditiveMonoidAdditiveSemigroup
  28. def sumnAboveOne(a: Polynomial[C], n: Int): Polynomial[C]

    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  29. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef
  30. def times(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

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

    Definition Classes
    PolynomialRngModule
  32. def timesr(v: Polynomial[C], r: C): Polynomial[C]

    Definition Classes
    Module
  33. def toString(): String

    Definition Classes
    AnyRef → Any
  34. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  35. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  36. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  37. def zero: Polynomial[C]

    Definition Classes
    PolynomialSemiringAdditiveMonoid

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