spire.math

Polynomial

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 Eq[C] are in scope, with exponents given by Int values. Some operations require more precise algebraic structures, such as GCDRing, EuclideanRing or Field to be in scope.

Linear Supertypes
PolynomialInstances, PolynomialInstances3, PolynomialInstances2, PolynomialInstances1, PolynomialInstances0, AnyRef, Any
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  1. Polynomial
  2. PolynomialInstances
  3. PolynomialInstances3
  4. PolynomialInstances2
  5. PolynomialInstances1
  6. PolynomialInstances0
  7. AnyRef
  8. Any
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  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

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

    Definition Classes
    Any

  3. final def ##(): Int

    Definition Classes
    AnyRef → Any

  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

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

    Definition Classes
    Any

  6. def apply(s: String): Polynomial[Rational]

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

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

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

  10. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  11. def clone(): AnyRef

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

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

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

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

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

  16. implicit def eq[C](implicit arg0: ClassTag[C], arg1: Semiring[C], arg2: Eq[C]): PolynomialEq[C]

    Definition Classes
    PolynomialInstances0

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

    Definition Classes
    AnyRef

  18. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  19. def finalize(): Unit

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

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

    Definition Classes
    AnyRef → Any

  21. def hashCode(): Int

    Definition Classes
    AnyRef → Any

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

  23. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

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

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

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

    Definition Classes
    AnyRef

  27. final def notify(): Unit

    Definition Classes
    AnyRef

  28. final def notifyAll(): Unit

    Definition Classes
    AnyRef

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

  30. implicit def overField[C](implicit arg0: ClassTag[C], arg1: Field[C], arg2: Eq[C]): PolynomialOverField[C]

    Definition Classes
    PolynomialInstances3

  31. implicit def overRig[C](implicit arg0: ClassTag[C], arg1: Rig[C], arg2: Eq[C]): PolynomialOverRig[C]

    Definition Classes
    PolynomialInstances1

  32. implicit def overRing[C](implicit arg0: ClassTag[C], arg1: Ring[C], arg2: Eq[C]): PolynomialOverRing[C]

    Definition Classes
    PolynomialInstances2

  33. implicit def overRng[C](implicit arg0: ClassTag[C], arg1: Rng[C], arg2: Eq[C]): PolynomialOverRng[C]

    Definition Classes
    PolynomialInstances1

  34. implicit def overSemiring[C](implicit arg0: ClassTag[C], arg1: Semiring[C], arg2: Eq[C]): PolynomialOverSemiring[C]

    Definition Classes
    PolynomialInstances0

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

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

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

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

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

    Definition Classes
    AnyRef

  40. def toString(): String

    Definition Classes
    AnyRef → Any

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

  42. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

  46. 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

Inherited from AnyRef

Inherited from Any

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