Class

cc.redberry.rings.scaladsl

UnivariateQuotientRing

Related Doc: package scaladsl

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final case class UnivariateQuotientRing[Poly <: IUnivariatePolynomial[Poly], E](baseRing: IUnivariateRing[Poly, E], modulus: Poly) extends IUnivariateRing[Poly, E] with Product with Serializable

Univariate quotient ring

Linear Supertypes
Product, Equals, IUnivariateRing[Poly, E], IPolynomialRing[Poly, E], Ring[Poly], Serializable, Serializable, RingSupport[Poly], ElementParser[Poly], ToStringSupport[Poly], AnyRef, Any
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  2. By Inheritance
Inherited
  1. UnivariateQuotientRing
  2. Product
  3. Equals
  4. IUnivariateRing
  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 UnivariateQuotientRing(baseRing: IUnivariateRing[Poly, E], modulus: Poly)

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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. final type PolyType = Poly

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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
    IPolynomialRingRing
  5. def addConstant(poly: Poly, el: E): Poly

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    Add coefficient ring element

    Add coefficient ring element

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

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

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

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

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

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

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

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

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

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

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

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

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    Parse

    Parse

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

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    Definition Classes
    Any
  21. def at(poly: Poly, index: Int): E

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    i-th coefficient

    i-th coefficient

    Definition Classes
    IUnivariateRing
  22. val baseRing: IUnivariateRing[Poly, E]

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  23. def cc(poly: Poly): E

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    Constant coefficient

    Constant coefficient

    Definition Classes
    UnivariateQuotientRingIPolynomialRing
  24. def cfRing: Ring[E]

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    The coefficient ring

    The coefficient ring

    Definition Classes
    UnivariateQuotientRingIPolynomialRing
  25. def cfValue(i: Int): E

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    Value of integer in coefficient ring

    Value of integer in coefficient ring

    Definition Classes
    UnivariateQuotientRingIPolynomialRing
  26. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  27. def create(coefficients: E*): Poly

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    Create univariate polynomial from the array of coefficients

    Create univariate polynomial from the array of coefficients

    Definition Classes
    UnivariateQuotientRingIUnivariateRing
  28. 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
  29. def divideAndRemainder(poly: Poly, el: E): (Poly, Poly)

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    Divide by coefficient ring element

    Divide by coefficient ring element

    Definition Classes
    UnivariateQuotientRingIPolynomialRing
  30. def divideConstant(poly: Poly, el: E): Poly

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    Divide by coefficient ring element

    Divide by coefficient ring element

    Definition Classes
    UnivariateQuotientRingIPolynomialRing
  31. 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
  32. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  33. def eval(poly: Poly, point: E): E

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    Evaluate poly at a given point

    Evaluate poly at a given point

    Definition Classes
    UnivariateQuotientRingIUnivariateRing
  34. def finalize(): Unit

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

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    Definition Classes
    AnyRef → Any
  36. def getConstant(value: E): Poly

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    Constant polynomial with specified value

    Constant polynomial with specified value

    Definition Classes
    UnivariateQuotientRingIPolynomialRing
  37. 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
  38. 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
  39. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  40. def lc(poly: Poly): E

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    Leading coefficient

    Leading coefficient

    Definition Classes
    UnivariateQuotientRingIPolynomialRing
  41. val modulus: Poly

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  42. def multiplyConstant(poly: Poly, el: E): Poly

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    Multiply by coefficient ring element

    Multiply by coefficient ring element

    Definition Classes
    UnivariateQuotientRingIPolynomialRing
  43. final def ne(arg0: AnyRef): Boolean

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

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

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

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    Parse polynomial

    Parse polynomial

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

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    Definition Classes
    RingRingSupport
  48. def setVariableNames(newVariables: Array[String]): UnivariateQuotientRing[Poly, 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
    UnivariateQuotientRingIUnivariateRingIPolynomialRing
  49. 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
  50. 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
  51. final def show(arg: Any): String

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    Pretty toString

    Pretty toString

    Definition Classes
    Ring
  52. def subtractConstant(poly: Poly, el: E): Poly

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    Subtract coefficient ring element

    Subtract coefficient ring element

    Definition Classes
    UnivariateQuotientRingIPolynomialRing
  53. final def synchronized[T0](arg0: ⇒ T0): T0

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

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    the IPolynomialRing

    Definition Classes
    IUnivariateRingIPolynomialRingRing
  55. def toString(): String

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    String representation of this ring

    String representation of this ring

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

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    <invalid inheritdoc annotation>

    <invalid inheritdoc annotation>

    Definition Classes
    Ring → ToStringSupport
  57. 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
  58. val variable: String

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    the variable

    the variable

    Definition Classes
    IUnivariateRing
  59. val variables: Array[String]

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    polynomial variables

    polynomial variables

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

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

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

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

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    The first variable

    The first variable

    Definition Classes
    IPolynomialRing
  64. final lazy val y: Poly

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    The second variable

    The second variable

    Definition Classes
    IPolynomialRing
  65. final lazy val z: Poly

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    The third variable

    The third variable

    Definition Classes
    IPolynomialRing

Inherited from Product

Inherited from Equals

Inherited from IUnivariateRing[Poly, E]

Inherited from IPolynomialRing[Poly, E]

Inherited from Ring[Poly]

Inherited from Serializable

Inherited from Serializable

Inherited from RingSupport[Poly]

Inherited from ElementParser[Poly]

Inherited from ToStringSupport[Poly]

Inherited from AnyRef

Inherited from Any

Ungrouped