spire.math

Polynomial

Related Docs: trait Polynomial | package math

object Polynomial extends PolynomialInstances

Polynomial A univariate polynomial class and EuclideanRing extension trait for arithmetic operations. Polynomials can be instantiated using any type C for which a Ring[C] and Signed[C] are in scope, with exponents given by Int values. Some operations require a Field[C] to be in scope.

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  2. PolynomialInstances
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  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 apply(s: String): Polynomial[Rational]

  5. def apply[C](c: C, e: Int)(implicit arg0: Semiring[C], arg1: Eq[C], arg2: ClassTag[C]): PolySparse[C]

  6. def apply[C](terms: Iterable[Term[C]])(implicit arg0: Semiring[C], arg1: Eq[C], arg2: ClassTag[C]): PolySparse[C]

  7. def apply[C](data: Map[Int, C])(implicit arg0: Semiring[C], arg1: Eq[C], arg2: ClassTag[C]): PolySparse[C]

  8. final def asInstanceOf[T0]: T0

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  9. def clone(): AnyRef

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    protected[java.lang]
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    @throws( ... )
  10. def constant[C](c: C)(implicit arg0: Eq[C], arg1: Semiring[C], arg2: ClassTag[C]): Polynomial[C]

  11. def cubic[C](c3: C, c2: C, c1: C, c0: C)(implicit arg0: Eq[C], arg1: Semiring[C], arg2: ClassTag[C]): Polynomial[C]

  12. def cubic[C](c: C)(implicit arg0: Eq[C], arg1: Semiring[C], arg2: ClassTag[C]): Polynomial[C]

  13. def dense[C](coeffs: Array[C])(implicit arg0: Semiring[C], arg1: Eq[C], arg2: ClassTag[C]): PolyDense[C]

  14. implicit def eq[C](implicit arg0: ClassTag[C], arg1: Semiring[C], arg2: Eq[C]): PolynomialEq[C] { ... /* 3 definitions in type refinement */ }

    Definition Classes
    PolynomialInstances0
  15. final def eq(arg0: AnyRef): Boolean

    Definition Classes
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  16. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any
  17. implicit def euclideanRing[C](implicit arg0: ClassTag[C], arg1: Field[C], arg2: Eq[C]): PolynomialEuclideanRing[C] { ... /* 2 definitions in type refinement */ }

    Definition Classes
    PolynomialInstances3
  18. def finalize(): Unit

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    @throws( classOf[java.lang.Throwable] )
  19. final def getClass(): Class[_]

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  20. def hashCode(): Int

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  21. def interpolate[C](points: (C, C)*)(implicit arg0: Field[C], arg1: Eq[C], arg2: ClassTag[C]): Polynomial[C]

  22. final def isInstanceOf[T0]: Boolean

    Definition Classes
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  23. def linear[C](c1: C, c0: C)(implicit arg0: Eq[C], arg1: Semiring[C], arg2: ClassTag[C]): Polynomial[C]

  24. def linear[C](c: C)(implicit arg0: Eq[C], arg1: Semiring[C], arg2: ClassTag[C]): Polynomial[C]

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

    Definition Classes
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  26. final def notify(): Unit

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  27. final def notifyAll(): Unit

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  28. def one[C](implicit arg0: Eq[C], arg1: Rig[C], arg2: ClassTag[C]): Polynomial[C]

  29. def quadratic[C](c2: C, c1: C, c0: C)(implicit arg0: Eq[C], arg1: Semiring[C], arg2: ClassTag[C]): Polynomial[C]

  30. def quadratic[C](c: C)(implicit arg0: Eq[C], arg1: Semiring[C], arg2: ClassTag[C]): Polynomial[C]

  31. def quadratic[C](c1: C, c0: C)(implicit arg0: Eq[C], arg1: Semiring[C], arg2: ClassTag[C]): Polynomial[C]

  32. implicit def rig[C](implicit arg0: ClassTag[C], arg1: Rig[C], arg2: Eq[C]): PolynomialRig[C] { ... /* 2 definitions in type refinement */ }

    Definition Classes
    PolynomialInstances1
  33. implicit def ring[C](implicit arg0: ClassTag[C], arg1: Ring[C], arg2: Eq[C]): PolynomialRing[C] { ... /* 2 definitions in type refinement */ }

    Definition Classes
    PolynomialInstances2
  34. implicit def rng[C](implicit arg0: ClassTag[C], arg1: Rng[C], arg2: Eq[C]): PolynomialRng[C] { ... /* 2 definitions in type refinement */ }

    Definition Classes
    PolynomialInstances1
  35. implicit def semiring[C](implicit arg0: ClassTag[C], arg1: Semiring[C], arg2: Eq[C]): PolynomialSemiring[C] { ... /* 3 definitions in type refinement */ }

    Definition Classes
    PolynomialInstances0
  36. def sparse[C](data: Map[Int, C])(implicit arg0: Semiring[C], arg1: Eq[C], arg2: ClassTag[C]): PolySparse[C]

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

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  38. def toString(): String

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    AnyRef → Any
  39. def twox[C](implicit arg0: Eq[C], arg1: Rig[C], arg2: ClassTag[C]): Polynomial[C]

  40. final def wait(): Unit

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    @throws( ... )
  41. final def wait(arg0: Long, arg1: Int): Unit

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    @throws( ... )
  42. final def wait(arg0: Long): Unit

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    @throws( ... )
  43. def x[C](implicit arg0: Eq[C], arg1: Rig[C], arg2: ClassTag[C]): Polynomial[C]

  44. def zero[C](implicit arg0: Eq[C], arg1: Semiring[C], arg2: ClassTag[C]): Polynomial[C]

Inherited from PolynomialInstances

Inherited from PolynomialInstances3

Inherited from PolynomialInstances2

Inherited from PolynomialInstances1

Inherited from PolynomialInstances0

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