Class/Object

cc.redberry.rings.scaladsl

AlgebraicNumberField

Related Docs: object AlgebraicNumberField | package scaladsl

Permalink

final case class AlgebraicNumberField[E](theRing: poly.AlgebraicNumberField[UnivariatePolynomial[E]], variable: String, _cfRing: Ring[E] = null) extends AUnivariateRing[E] with SimpleFieldExtension[UnivariatePolynomial[E], E] with Product with Serializable

Algebraic number field represented as simple field extension

theRing

the rings.poly.FiniteField

variable

the variable that represent extension generator

Linear Supertypes
Product, Equals, SimpleFieldExtension[UnivariatePolynomial[E], E], AUnivariateRing[E], IUnivariateRing[UnivariatePolynomial[E], E], IPolynomialRing[UnivariatePolynomial[E], E], Ring[UnivariatePolynomial[E]], Serializable, Serializable, RingSupport[UnivariatePolynomial[E]], IParser[UnivariatePolynomial[E]], Stringifiable[UnivariatePolynomial[E]], AnyRef, Any
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. AlgebraicNumberField
  2. Product
  3. Equals
  4. SimpleFieldExtension
  5. AUnivariateRing
  6. IUnivariateRing
  7. IPolynomialRing
  8. Ring
  9. Serializable
  10. Serializable
  11. RingSupport
  12. IParser
  13. Stringifiable
  14. AnyRef
  15. Any
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. All

Instance Constructors

  1. new AlgebraicNumberField(theRing: poly.AlgebraicNumberField[UnivariatePolynomial[E]], variable: String, _cfRing: Ring[E] = null)

    Permalink

    theRing

    the rings.poly.FiniteField

    variable

    the variable that represent extension generator

Type Members

  1. final type CoefficientType = E

    Permalink

    Type of coefficients

    Type of coefficients

    Definition Classes
    IPolynomialRing
  2. final type ElementType = UnivariatePolynomial[E]

    Permalink

    Element type

    Element type

    Definition Classes
    Ring
  3. final type PolyType = UnivariatePolynomial[E]

    Permalink

    Type of polynomials

    Type of polynomials

    Definition Classes
    IPolynomialRing

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. val _cfRing: Ring[E]

    Permalink
  5. final def addConstant(poly: UnivariatePolynomial[E], el: E): UnivariatePolynomial[E]

    Permalink

    Add coefficient ring element

    Add coefficient ring element

    Definition Classes
    AUnivariateRing → IPolynomialRing
  6. final def apply(a: E, b: E, c: E, d: E, e: E): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    IPolynomialRing
  7. final def apply(a: E, b: E, c: E, d: E): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    IPolynomialRing
  8. final def apply(a: E, b: E, c: E): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    IPolynomialRing
  9. final def apply(a: E, b: E): (UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    IPolynomialRing
  10. final def apply(value: E): UnivariatePolynomial[E]

    Permalink
    Definition Classes
    IPolynomialRing
  11. final def apply(a: Int, b: Int, c: Int, d: Int, e: Int, f: Int, g: Int): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  12. final def apply(a: Int, b: Int, c: Int, d: Int, e: Int, f: Int): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  13. final def apply(a: Int, b: Int, c: Int, d: Int, e: Int): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  14. final def apply(a: Int, b: Int, c: Int, d: Int): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  15. final def apply(a: Int, b: Int, c: Int): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  16. final def apply(a: Int, b: Int): (UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  17. final def apply(a: String, b: String, c: String, d: String, e: String, f: String, g: String): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  18. final def apply(a: String, b: String, c: String, d: String, e: String, f: String): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  19. final def apply(a: String, b: String, c: String, d: String, e: String): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  20. final def apply(a: String, b: String, c: String, d: String): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  21. final def apply(a: String, b: String, c: String): (UnivariatePolynomial[E], UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  22. final def apply(a: String, b: String): (UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink
    Definition Classes
    Ring
  23. final def apply(e: ElementType): UnivariatePolynomial[E]

    Permalink
    Definition Classes
    Ring
  24. final def apply(int: IntZ): UnivariatePolynomial[E]

    Permalink
    Definition Classes
    Ring
  25. final def apply(int: BigInt): UnivariatePolynomial[E]

    Permalink
    Definition Classes
    Ring
  26. final def apply(int: Int): UnivariatePolynomial[E]

    Permalink
    Definition Classes
    Ring
  27. final def apply(string: String): UnivariatePolynomial[E]

    Permalink

    Parse

    Parse

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

    Permalink
    Definition Classes
    Any
  29. def at(poly: UnivariatePolynomial[E], index: Int): E

    Permalink

    i-th coefficient

    i-th coefficient

    Definition Classes
    IUnivariateRing
  30. final def cc(poly: UnivariatePolynomial[E]): E

    Permalink

    Constant coefficient

    Constant coefficient

    Definition Classes
    AUnivariateRing → IPolynomialRing
  31. val cfRing: Ring[E]

    Permalink

    The coefficient ring

    The coefficient ring

    Definition Classes
    AlgebraicNumberFieldIPolynomialRing
  32. final def cfValue(i: Int): E

    Permalink

    Value of integer in coefficient ring

    Value of integer in coefficient ring

    Definition Classes
    AUnivariateRing → IPolynomialRing
  33. def clone(): AnyRef

    Permalink
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate() @throws( ... )
  34. final lazy val coder: Coder[ElementType]

    Permalink

    String from/to conversion for ring elements

    String from/to conversion for ring elements

    Definition Classes
    AUnivariateRing → Ring
  35. final def create(coefficients: E*): UnivariatePolynomial[E]

    Permalink

    Create univariate polynomial from the array of coefficients

    Create univariate polynomial from the array of coefficients

    Definition Classes
    AUnivariateRing → IUnivariateRing
  36. final def divRem(a: UnivariatePolynomial[E], b: UnivariatePolynomial[E]): (UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink

    Shortcut for /% operation

    Shortcut for /% operation

    Attributes
    protected[cc.redberry.rings.scaladsl]
    Definition Classes
    IPolynomialRing
  37. final def divideAndRemainder(poly: UnivariatePolynomial[E], el: E): (UnivariatePolynomial[E], UnivariatePolynomial[E])

    Permalink

    Divide by coefficient ring element

    Divide by coefficient ring element

    Definition Classes
    AUnivariateRing → IPolynomialRing
  38. final def divideConstant(poly: UnivariatePolynomial[E], el: E): UnivariatePolynomial[E]

    Permalink

    Divide by coefficient ring element

    Divide by coefficient ring element

    Definition Classes
    AUnivariateRing → IPolynomialRing
  39. final def element(e: Any): UnivariatePolynomial[E]

    Permalink

    Casts e to element of this

    Casts e to element of this

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

    Permalink
    Definition Classes
    AnyRef
  41. final def eval(poly: UnivariatePolynomial[E], point: E): E

    Permalink

    Evaluate poly at a given point

    Evaluate poly at a given point

    Definition Classes
    AUnivariateRing → IUnivariateRing
  42. final def getClass(): Class[_]

    Permalink
    Definition Classes
    AnyRef → Any
    Annotations
    @HotSpotIntrinsicCandidate()
  43. final def getConstant(value: E): UnivariatePolynomial[E]

    Permalink

    Constant polynomial with specified value

    Constant polynomial with specified value

    Definition Classes
    AUnivariateRing → IPolynomialRing
  44. def implicitConversions: poly.SimpleFieldExtension[UnivariatePolynomial[E]]

    Permalink
  45. final def index(variable: String): Int

    Permalink

    Index of variable with specified string representation

    Index of variable with specified string representation

    Definition Classes
    IPolynomialRing
  46. def isElement(e: Any): Boolean

    Permalink

    Reflection: determines whether is element of this

    Reflection: determines whether is element of this

    Definition Classes
    IPolynomialRingRing
  47. final def isInstanceOf[T0]: Boolean

    Permalink
    Definition Classes
    Any
  48. final def lc(poly: UnivariatePolynomial[E]): E

    Permalink

    Leading coefficient

    Leading coefficient

    Definition Classes
    AUnivariateRing → IPolynomialRing
  49. final def multiplyConstant(poly: UnivariatePolynomial[E], el: E): UnivariatePolynomial[E]

    Permalink

    Multiply by coefficient ring element

    Multiply by coefficient ring element

    Definition Classes
    AUnivariateRing → IPolynomialRing
  50. final def ne(arg0: AnyRef): Boolean

    Permalink
    Definition Classes
    AnyRef
  51. final def negativeOne: UnivariatePolynomial[E]

    Permalink
    Definition Classes
    Ring
  52. final def notify(): Unit

    Permalink
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate()
  53. final def notifyAll(): Unit

    Permalink
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate()
  54. final def one: UnivariatePolynomial[E]

    Permalink
    Definition Classes
    Ring
  55. def parse(string: String): UnivariatePolynomial[E]

    Permalink

    <invalid inheritdoc annotation>

    <invalid inheritdoc annotation>

    Definition Classes
    Ring → IParser
  56. def ringEv(ev: UnivariatePolynomial[E]): Ring[UnivariatePolynomial[E]]

    Permalink
    Definition Classes
    RingRingSupport
  57. def setVariableNames(newVariables: Array[String]): AlgebraicNumberField[E]

    Permalink

    Set names of variables (new ring will be created)

    Set names of variables (new ring will be created)

    Definition Classes
    AlgebraicNumberFieldIUnivariateRingIPolynomialRing
  58. final def stringify(e: Stringifiable[UnivariatePolynomial[E]]): String

    Permalink

    Convert element to string

    Convert element to string

    Definition Classes
    Ring
  59. final def stringify(e: TraversableOnce[UnivariatePolynomial[E]]): String

    Permalink

    Convert element to string

    Convert element to string

    Definition Classes
    Ring
  60. final def stringify(e: UnivariatePolynomial[E]): String

    Permalink

    Convert element to string

    Convert element to string

    Definition Classes
    Ring
  61. final def subtractConstant(poly: UnivariatePolynomial[E], el: E): UnivariatePolynomial[E]

    Permalink

    Subtract coefficient ring element

    Subtract coefficient ring element

    Definition Classes
    AUnivariateRing → IPolynomialRing
  62. final def synchronized[T0](arg0: ⇒ T0): T0

    Permalink
    Definition Classes
    AnyRef
  63. val theRing: poly.AlgebraicNumberField[UnivariatePolynomial[E]]

    Permalink

    the rings.poly.FiniteField

    the rings.poly.FiniteField

    Definition Classes
    AlgebraicNumberField → AUnivariateRing → IUnivariateRingIPolynomialRingRing
  64. def toString(): String

    Permalink

    <invalid inheritdoc annotation>

    <invalid inheritdoc annotation>

    Definition Classes
    Ring → AnyRef → Any
  65. def toString(arg0: IStringifier[UnivariatePolynomial[E]]): String

    Permalink
    Definition Classes
    Stringifiable
  66. final def variable(variable: String): Int

    Permalink

    Index of variable with specified string representation

    Index of variable with specified string representation

    Definition Classes
    IPolynomialRing
  67. val variable: String

    Permalink

    the variable that represent extension generator

    the variable that represent extension generator

    Definition Classes
    AlgebraicNumberField → AUnivariateRing → IUnivariateRing
  68. final def variableString(variable: Int): String

    Permalink

    String representation of i-th variable

    String representation of i-th variable

    Definition Classes
    IPolynomialRing
  69. val variables: Array[String]

    Permalink

    polynomial variables

    polynomial variables

    Definition Classes
    IPolynomialRing
  70. final def wait(arg0: Long, arg1: Int): Unit

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

    Permalink
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  72. final def wait(): Unit

    Permalink
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  73. final lazy val x: UnivariatePolynomial[E]

    Permalink

    The first variable

    The first variable

    Definition Classes
    IPolynomialRing
  74. final lazy val y: UnivariatePolynomial[E]

    Permalink

    The second variable

    The second variable

    Definition Classes
    IPolynomialRing
  75. final lazy val z: UnivariatePolynomial[E]

    Permalink

    The third variable

    The third variable

    Definition Classes
    IPolynomialRing
  76. final def zero: UnivariatePolynomial[E]

    Permalink
    Definition Classes
    Ring

Deprecated Value Members

  1. def finalize(): Unit

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

    (Since version ) see corresponding Javadoc for more information.

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

    Permalink

    Pretty toString

    Pretty toString

    Definition Classes
    Ring
    Annotations
    @deprecated
    Deprecated

    use stringify

Inherited from Product

Inherited from Equals

Inherited from AUnivariateRing[E]

Inherited from IUnivariateRing[UnivariatePolynomial[E], E]

Inherited from IPolynomialRing[UnivariatePolynomial[E], E]

Inherited from Ring[UnivariatePolynomial[E]]

Inherited from Serializable

Inherited from Serializable

Inherited from RingSupport[UnivariatePolynomial[E]]

Inherited from IParser[UnivariatePolynomial[E]]

Inherited from Stringifiable[UnivariatePolynomial[E]]

Inherited from AnyRef

Inherited from Any

Ungrouped