Class/Object

cc.redberry.rings.scaladsl

MultivariateRing

Related Docs: object MultivariateRing | package scaladsl

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final case class MultivariateRing[E](coefficientDomain: Ring[E], variables: Array[String], ordering: Ordering) extends IMultivariateRing[Monomial[E], MultivariatePolynomial[E], E] with Product with Serializable

Ring of multivariate polynomials over generic domains

coefficientDomain

coefficient ring

Linear Supertypes
Product, Equals, IMultivariateRing[Monomial[E], MultivariatePolynomial[E], E], IPolynomialRing[MultivariatePolynomial[E], E], Ring[MultivariatePolynomial[E]], Serializable, Serializable, RingSupport[MultivariatePolynomial[E]], ElementParser[MultivariatePolynomial[E]], ToStringSupport[MultivariatePolynomial[E]], AnyRef, Any
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  2. By Inheritance
Inherited
  1. MultivariateRing
  2. Product
  3. Equals
  4. IMultivariateRing
  5. IPolynomialRing
  6. Ring
  7. Serializable
  8. Serializable
  9. RingSupport
  10. ElementParser
  11. ToStringSupport
  12. AnyRef
  13. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new MultivariateRing(coefficientDomain: Ring[E], variables: Array[String], ordering: Ordering)

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    coefficientDomain

    coefficient ring

Type Members

  1. final type CoefficientType = E

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    Type of coefficients

    Type of coefficients

    Definition Classes
    IPolynomialRing

  2. final type ElementType = MultivariatePolynomial[E]

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    Element type

    Element type

    Definition Classes
    Ring

  3. type MonomialType = Monomial[E]

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    The type of monomials

    The type of monomials

    Definition Classes
    IMultivariateRing

  4. final type PolyType = MultivariatePolynomial[E]

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    Type of polynomials

    Type of polynomials

    Definition Classes
    IPolynomialRing

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 _show(obj: Any): String

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    To string

    To string

    Definition Classes
    IPolynomialRing → Ring

  5. def addConstant(poly: MultivariatePolynomial[E], el: E): MultivariatePolynomial[E]

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    Add coefficient ring element

    Add coefficient ring element

    Definition Classes
    MultivariateRing → IPolynomialRing

  6. final def apply(a: E, b: E, c: E, d: E, e: E): (MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E])

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    Definition Classes
    IPolynomialRing

  7. final def apply(a: E, b: E, c: E, d: E): (MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E])

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    Definition Classes
    IPolynomialRing

  8. final def apply(a: E, b: E, c: E): (MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E])

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    Definition Classes
    IPolynomialRing

  9. final def apply(a: E, b: E): (MultivariatePolynomial[E], MultivariatePolynomial[E])

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    Definition Classes
    IPolynomialRing

  10. final def apply(value: E): MultivariatePolynomial[E]

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    Definition Classes
    IPolynomialRing

  11. final def apply(a: String, b: String, c: String, d: String, e: String): (MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E])

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    Definition Classes
    Ring

  12. final def apply(a: String, b: String, c: String, d: String): (MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E])

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    Definition Classes
    Ring

  13. final def apply(a: String, b: String, c: String): (MultivariatePolynomial[E], MultivariatePolynomial[E], MultivariatePolynomial[E])

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    Definition Classes
    Ring

  14. final def apply(a: String, b: String): (MultivariatePolynomial[E], MultivariatePolynomial[E])

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    Definition Classes
    Ring

  15. final def apply(e: ElementType): MultivariatePolynomial[E]

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    Definition Classes
    Ring

  16. final def apply(int: IntZ): MultivariatePolynomial[E]

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    Definition Classes
    Ring

  17. final def apply(int: BigInt): MultivariatePolynomial[E]

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    Definition Classes
    Ring

  18. final def apply(int: Int): MultivariatePolynomial[E]

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    Definition Classes
    Ring

  19. final def apply(string: String): MultivariatePolynomial[E]

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    Parse

    Parse

    Definition Classes
    Ring

  20. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  21. def cc(poly: MultivariatePolynomial[E]): E

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    Constant coefficient

    Constant coefficient

    Definition Classes
    MultivariateRing → IPolynomialRing

  22. val cfRing: Ring[E]

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    The coefficient ring

    The coefficient ring

    Definition Classes
    MultivariateRing → IPolynomialRing

  23. def cfValue(i: Int): E

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    Value of integer in coefficient ring

    Value of integer in coefficient ring

    Definition Classes
    MultivariateRing → IPolynomialRing

  24. def clone(): AnyRef

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

  25. val coefficientDomain: Ring[E]

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    coefficient ring

  26. final def divRem(a: MultivariatePolynomial[E], b: MultivariatePolynomial[E]): (MultivariatePolynomial[E], MultivariatePolynomial[E])

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    Shortcut for /% operation

    Shortcut for /% operation

    Attributes
    protected[cc.redberry.rings.scaladsl]
    Definition Classes
    IPolynomialRing

  27. def divideAndRemainder(poly: MultivariatePolynomial[E], el: E): (MultivariatePolynomial[E], MultivariatePolynomial[E])

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    Divide by coefficient ring element

    Divide by coefficient ring element

    Definition Classes
    MultivariateRing → IPolynomialRing

  28. def divideConstant(poly: MultivariatePolynomial[E], el: E): MultivariatePolynomial[E]

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    Divide by coefficient ring element

    Divide by coefficient ring element

    Definition Classes
    MultivariateRing → IPolynomialRing

  29. final def element(e: Any): MultivariatePolynomial[E]

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    Casts e to element of this

    Casts e to element of this

    Definition Classes
    Ring

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

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    Definition Classes
    AnyRef

  31. def eval(poly: MultivariatePolynomial[E], variable: Int, value: E): MultivariatePolynomial[E]

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    Evaluate poly for given variable

    Evaluate poly for given variable

    Definition Classes
    MultivariateRing → IMultivariateRing

  32. def finalize(): Unit

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

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

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    Definition Classes
    AnyRef → Any

  34. def getConstant(value: E): poly.multivar.MultivariatePolynomial[E]

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    Constant polynomial with specified value

    Constant polynomial with specified value

    Definition Classes
    MultivariateRing → IPolynomialRing

  35. final def index(variable: String): Int

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    Index of variable with specified string representation

    Index of variable with specified string representation

    Definition Classes
    IPolynomialRing

  36. def isElement(e: Any): Boolean

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    Reflection: determines whether is element of this

    Reflection: determines whether is element of this

    Definition Classes
    IPolynomialRing → Ring

  37. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

  38. def lc(poly: MultivariatePolynomial[E]): E

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    Leading coefficient

    Leading coefficient

    Definition Classes
    MultivariateRing → IPolynomialRing

  39. def multiplyConstant(poly: MultivariatePolynomial[E], el: E): MultivariatePolynomial[E]

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    Multiply by coefficient ring element

    Multiply by coefficient ring element

    Definition Classes
    MultivariateRing → IPolynomialRing

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

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    Definition Classes
    AnyRef

  41. final def notify(): Unit

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    Definition Classes
    AnyRef

  42. final def notifyAll(): Unit

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    Definition Classes
    AnyRef

  43. val ordering: Ordering

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    Definition Classes
    MultivariateRing → IMultivariateRing

  44. def parse(string: String): MultivariatePolynomial[E]

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    Parse polynomial

    Parse polynomial

    Definition Classes
    MultivariateRing → IPolynomialRing → Ring → ElementParser

  45. def ringEv(ev: MultivariatePolynomial[E]): Ring[MultivariatePolynomial[E]]

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    Definition Classes
    Ring → RingSupport

  46. def setVariableNames(newVariables: Array[String]): MultivariateRing[E]

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    Set names of variables (new ring will be created)

    Set names of variables (new ring will be created)

    Definition Classes
    MultivariateRing → IMultivariateRing → IPolynomialRing

  47. def show(obj: WithVariables): String

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    String representation of polynomial from this ring

    String representation of polynomial from this ring

    Definition Classes
    MultivariateRing → IPolynomialRing

  48. final def show(list: Traversable[_]): String

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    String representation of a seq of polynomials

    String representation of a seq of polynomials

    Definition Classes
    IPolynomialRing

  49. final def show(arg: Any): String

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    Pretty toString

    Pretty toString

    Definition Classes
    Ring

  50. def subtractConstant(poly: MultivariatePolynomial[E], el: E): MultivariatePolynomial[E]

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    Subtract coefficient ring element

    Subtract coefficient ring element

    Definition Classes
    MultivariateRing → IPolynomialRing

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

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    Definition Classes
    AnyRef

  52. val theRing: poly.IPolynomialRing[MultivariatePolynomial[E]]

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    the IPolynomialRing

    the IPolynomialRing

    Definition Classes
    IMultivariateRing → IPolynomialRing → Ring

  53. final def toString(element: MultivariatePolynomial[E]): String

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    <invalid inheritdoc annotation>

    <invalid inheritdoc annotation>

    Definition Classes
    Ring → ToStringSupport

  54. val toString: String

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    String representation of this ring

    String representation of this ring

    Definition Classes
    MultivariateRing → IPolynomialRing → Ring → AnyRef → Any

  55. final def variable(variable: String): Int

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    Index of variable with specified string representation

    Index of variable with specified string representation

    Definition Classes
    IPolynomialRing

  56. val variables: Array[String]

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    Definition Classes
    MultivariateRing → IPolynomialRing

  57. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  60. final lazy val x: MultivariatePolynomial[E]

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    The first variable

    The first variable

    Definition Classes
    IPolynomialRing

  61. final lazy val y: MultivariatePolynomial[E]

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    The second variable

    The second variable

    Definition Classes
    IPolynomialRing

  62. final lazy val z: MultivariatePolynomial[E]

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    The third variable

    The third variable

    Definition Classes
    IPolynomialRing

Inherited from Product

Inherited from Equals

Inherited from IMultivariateRing[Monomial[E], MultivariatePolynomial[E], E]

Inherited from IPolynomialRing[MultivariatePolynomial[E], E]

Inherited from Ring[MultivariatePolynomial[E]]

Inherited from Serializable

Inherited from Serializable

Inherited from RingSupport[MultivariatePolynomial[E]]

Inherited from ElementParser[MultivariatePolynomial[E]]

Inherited from ToStringSupport[MultivariatePolynomial[E]]

Inherited from AnyRef

Inherited from Any

Ungrouped