Class

cc.redberry.rings.scaladsl

IMultivariateRing

Related Doc: package scaladsl

Permalink

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

Ring of multivariate polynomials

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

Type Members

  1. final type CoefficientType = E

    Permalink

    Type of coefficients

    Type of coefficients

    Definition Classes
    PolynomialRing
  2. final type ElementType = Poly

    Permalink

    Element type

    Element type

    Definition Classes
    Ring
  3. type MonomialType = Term

    Permalink

    The type of monomials

  4. final type PolyType = Poly

    Permalink

    Type of polynomials

    Type of polynomials

    Definition Classes
    PolynomialRing

Abstract Value Members

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

    Permalink

    Add coefficient ring element

    Add coefficient ring element

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

    Permalink

    Constant coefficient

    Constant coefficient

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

    Permalink

    The coefficient ring

    The coefficient ring

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

    Permalink

    Value of integer in coefficient ring

    Value of integer in coefficient ring

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

    Permalink

    Divide by coefficient ring element

    Divide by coefficient ring element

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

    Permalink

    Divide by coefficient ring element

    Divide by coefficient ring element

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

    Permalink

    Evaluate poly for given variable

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

    Permalink

    Constant polynomial with specified value

    Constant polynomial with specified value

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

    Permalink

    Leading coefficient

    Leading coefficient

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

    Permalink

    Multiply by coefficient ring element

    Multiply by coefficient ring element

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

    Permalink

    Subtract coefficient ring element

    Subtract coefficient ring element

    Definition Classes
    PolynomialRing

Concrete Value Members

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

    Permalink
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

    Permalink
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean

    Permalink
    Definition Classes
    AnyRef → Any
  4. def _show(obj: Any): String

    Permalink

    To string

    To string

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

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

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

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

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

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

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

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

    Permalink

    Parse

    Parse

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

    Permalink
    Definition Classes
    Any
  14. def clone(): AnyRef

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

    Permalink

    Shortcut for /% operation

    Shortcut for /% operation

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

    Permalink

    Casts e to element of this

    Casts e to element of this

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

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

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

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

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

    Permalink
    Definition Classes
    AnyRef → Any
  22. final def index(variable: String): Int

    Permalink

    Index of variable with specified string representation

    Index of variable with specified string representation

    Definition Classes
    PolynomialRing
  23. def isElement(e: Any): Boolean

    Permalink

    Reflection: determines whether is element of this

    Reflection: determines whether is element of this

    Definition Classes
    PolynomialRingRing
  24. final def isInstanceOf[T0]: Boolean

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

    Permalink
    Definition Classes
    AnyRef
  26. final def notify(): Unit

    Permalink
    Definition Classes
    AnyRef
  27. final def notifyAll(): Unit

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

    Permalink

    Parse polynomial

    Parse polynomial

    Definition Classes
    PolynomialRingRing → ElementParser
  29. def ringEv(ev: Poly): Ring[Poly]

    Permalink
    Definition Classes
    RingRingSupport
  30. final def show(list: Traversable[_]): String

    Permalink

    String representation of a seq of polynomials

    String representation of a seq of polynomials

    Definition Classes
    PolynomialRing
  31. def show(obj: WithVariables): String

    Permalink

    String representation of polynomial from this ring

    String representation of polynomial from this ring

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

    Permalink

    Pretty toString

    Pretty toString

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

    Permalink
    Definition Classes
    AnyRef
  34. val theRing: poly.PolynomialRing[Poly]

    Permalink

    the PolynomialRing

    Definition Classes
    IMultivariateRingPolynomialRingRing
  35. def toString(): String

    Permalink

    String representation of this ring

    String representation of this ring

    Definition Classes
    PolynomialRingRing → AnyRef → Any
  36. final def toString(element: Poly): String

    Permalink

    <invalid inheritdoc annotation>

    <invalid inheritdoc annotation>

    Definition Classes
    Ring → ToStringSupport
  37. final def variable(variable: String): Int

    Permalink

    Index of variable with specified string representation

    Index of variable with specified string representation

    Definition Classes
    PolynomialRing
  38. val variables: Array[String]

    Permalink

    polynomial variables

    polynomial variables

    Definition Classes
    PolynomialRing
  39. final def wait(): Unit

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

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

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

    Permalink

    The first variable

    The first variable

    Definition Classes
    PolynomialRing
  43. final lazy val y: Poly

    Permalink

    The second variable

    The second variable

    Definition Classes
    PolynomialRing
  44. final lazy val z: Poly

    Permalink

    The third variable

    The third variable

    Definition Classes
    PolynomialRing

Inherited from PolynomialRing[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