Class

cc.redberry.rings.scaladsl

IMultivariateRing

Related Doc: package scaladsl

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sealed abstract class IMultivariateRing[Term <: DegreeVector[Term], Poly <: AMultivariatePolynomial[Term, Poly], E] extends IPolynomialRing[Poly, E]

Ring of multivariate polynomials

Linear Supertypes
IPolynomialRing[Poly, E], Ring[Poly], RingSupport[Poly], ElementParser[Poly], ToStringSupport[Poly], AnyRef, Any
Known Subclasses
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. IMultivariateRing
  2. IPolynomialRing
  3. Ring
  4. RingSupport
  5. ElementParser
  6. ToStringSupport
  7. AnyRef
  8. Any
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Visibility
  1. Public
  2. All

Type Members

  1. final type CoefficientType = E

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    Type of coefficients

    Type of coefficients

    Definition Classes
    IPolynomialRing
  2. final type ElementType = Poly

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    Element type

    Element type

    Definition Classes
    Ring
  3. type MonomialType = Term

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    The type of monomials

  4. final type PolyType = Poly

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    Type of polynomials

    Type of polynomials

    Definition Classes
    IPolynomialRing

Abstract Value Members

  1. abstract def addConstant(poly: Poly, el: E): Poly

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    Add coefficient ring element

    Add coefficient ring element

    Definition Classes
    IPolynomialRing
  2. abstract def cc(poly: Poly): E

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    Constant coefficient

    Constant coefficient

    Definition Classes
    IPolynomialRing
  3. abstract def cfRing: Ring[E]

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    The coefficient ring

    The coefficient ring

    Definition Classes
    IPolynomialRing
  4. abstract def cfValue(i: Int): E

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    Value of integer in coefficient ring

    Value of integer in coefficient ring

    Definition Classes
    IPolynomialRing
  5. abstract def divideAndRemainder(poly: Poly, el: E): (Poly, Poly)

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    Divide by coefficient ring element

    Divide by coefficient ring element

    Definition Classes
    IPolynomialRing
  6. abstract def divideConstant(poly: Poly, el: E): Poly

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    Divide by coefficient ring element

    Divide by coefficient ring element

    Definition Classes
    IPolynomialRing
  7. abstract def eval(poly: Poly, variable: Int, value: E): Poly

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    Evaluate poly for given variable

  8. abstract def getConstant(value: E): Poly

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    Constant polynomial with specified value

    Constant polynomial with specified value

    Definition Classes
    IPolynomialRing
  9. abstract def lc(poly: Poly): E

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    Leading coefficient

    Leading coefficient

    Definition Classes
    IPolynomialRing
  10. abstract def multiplyConstant(poly: Poly, el: E): Poly

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    Multiply by coefficient ring element

    Multiply by coefficient ring element

    Definition Classes
    IPolynomialRing
  11. abstract def subtractConstant(poly: Poly, el: E): Poly

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    Subtract coefficient ring element

    Subtract coefficient ring element

    Definition Classes
    IPolynomialRing

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 _show(obj: Any): String

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    To string

    To string

    Definition Classes
    IPolynomialRingRing
  5. final def apply(a: E, b: E, c: E, d: E, e: E): (Poly, Poly, Poly, Poly, Poly)

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    Definition Classes
    IPolynomialRing
  6. final def apply(a: E, b: E, c: E, d: E): (Poly, Poly, Poly, Poly)

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    Definition Classes
    IPolynomialRing
  7. final def apply(a: E, b: E, c: E): (Poly, Poly, Poly)

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    Definition Classes
    IPolynomialRing
  8. final def apply(a: E, b: E): (Poly, Poly)

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    Definition Classes
    IPolynomialRing
  9. final def apply(value: E): Poly

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    Definition Classes
    IPolynomialRing
  10. final def apply(a: String, b: String, c: String, d: String, e: String): (Poly, Poly, Poly, Poly, Poly)

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    Definition Classes
    Ring
  11. final def apply(a: String, b: String, c: String, d: String): (Poly, Poly, Poly, Poly)

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    Definition Classes
    Ring
  12. final def apply(a: String, b: String, c: String): (Poly, Poly, Poly)

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    Definition Classes
    Ring
  13. final def apply(a: String, b: String): (Poly, Poly)

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    Definition Classes
    Ring
  14. final def apply(e: ElementType): Poly

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    Definition Classes
    Ring
  15. final def apply(int: IntZ): Poly

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    Definition Classes
    Ring
  16. final def apply(int: BigInt): Poly

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    Definition Classes
    Ring
  17. final def apply(int: Int): Poly

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    Definition Classes
    Ring
  18. final def apply(string: String): Poly

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    Parse

    Parse

    Definition Classes
    Ring
  19. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  20. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  21. final def divRem(a: Poly, b: Poly): (Poly, Poly)

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    Shortcut for /% operation

    Shortcut for /% operation

    Attributes
    protected[cc.redberry.rings.scaladsl]
    Definition Classes
    IPolynomialRing
  22. final def element(e: Any): Poly

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    Casts e to element of this

    Casts e to element of this

    Definition Classes
    Ring
  23. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  24. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  25. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  26. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  27. def hashCode(): Int

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    Definition Classes
    AnyRef → Any
  28. 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
  29. 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
    IPolynomialRingRing
  30. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  31. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  32. final def notify(): Unit

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

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    Definition Classes
    AnyRef
  34. def parse(string: String): Poly

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    Parse polynomial

    Parse polynomial

    Definition Classes
    IPolynomialRingRing → ElementParser
  35. def ringEv(ev: Poly): Ring[Poly]

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    Definition Classes
    RingRingSupport
  36. 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
  37. def show(obj: WithVariables): String

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    String representation of polynomial from this ring

    String representation of polynomial from this ring

    Attributes
    protected[cc.redberry.rings.scaladsl]
    Definition Classes
    IPolynomialRing
  38. final def show(arg: Any): String

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    Pretty toString

    Pretty toString

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

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    Definition Classes
    AnyRef
  40. val theRing: poly.IPolynomialRing[Poly]

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    the IPolynomialRing

  41. def toString(): String

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    String representation of this ring

    String representation of this ring

    Definition Classes
    IPolynomialRingRing → AnyRef → Any
  42. final def toString(element: Poly): String

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    <invalid inheritdoc annotation>

    <invalid inheritdoc annotation>

    Definition Classes
    Ring → ToStringSupport
  43. 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
  44. val variables: Array[String]

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    polynomial variables

    polynomial variables

    Definition Classes
    IPolynomialRing
  45. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  48. final lazy val x: Poly

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    The first variable

    The first variable

    Definition Classes
    IPolynomialRing
  49. final lazy val y: Poly

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    The second variable

    The second variable

    Definition Classes
    IPolynomialRing
  50. final lazy val z: Poly

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    The third variable

    The third variable

    Definition Classes
    IPolynomialRing

Inherited from IPolynomialRing[Poly, E]

Inherited from Ring[Poly]

Inherited from RingSupport[Poly]

Inherited from ElementParser[Poly]

Inherited from ToStringSupport[Poly]

Inherited from AnyRef

Inherited from Any

Ungrouped