Trait

spire.math

PolynomialRng

Related Doc: package math

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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]

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    Definition Classes
    PolynomialSemiring

  2. implicit abstract def eq: Eq[C]

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    Definition Classes
    PolynomialSemiring

  3. implicit abstract val scalar: Rng[C]

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    Definition Classes
    PolynomialRng → Module → PolynomialSemiring

Concrete Value Members

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

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    Definition Classes
    AnyRef → Any

  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any

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

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    Definition Classes
    AnyRef → Any

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

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

  5. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  6. def clone(): AnyRef

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

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

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    Definition Classes
    AnyRef

  8. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  9. def finalize(): Unit

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

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

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    Definition Classes
    AnyRef → Any

  11. def hashCode(): Int

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    Definition Classes
    AnyRef → Any

  12. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

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

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    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid

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

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    Definition Classes
    AdditiveGroup

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

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    Definition Classes
    MultiplicativeSemigroup

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

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    Definition Classes
    AnyRef

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

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    Definition Classes
    PolynomialRng → AdditiveGroup

  18. final def notify(): Unit

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    Definition Classes
    AnyRef

  19. final def notifyAll(): Unit

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    Definition Classes
    AnyRef

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

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    Definition Classes
    PolynomialSemiring → AdditiveSemigroup

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

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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

  22. def prodOption(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]

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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

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

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    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]

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    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup

  25. def sum(as: TraversableOnce[Polynomial[C]]): Polynomial[C]

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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

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

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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

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

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    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

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

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    Attributes
    protected
    Definition Classes
    AdditiveSemigroup

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

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    Definition Classes
    AnyRef

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

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    Definition Classes
    PolynomialSemiring → MultiplicativeSemigroup

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

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    Definition Classes
    PolynomialRng → Module

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

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    Definition Classes
    Module

  33. def toString(): String

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    Definition Classes
    AnyRef → Any

  34. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  37. def zero: Polynomial[C]

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    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