Uses of Class
edu.jas.poly.AlgebraicNumberRing

Packages that use AlgebraicNumberRing

Package	Description
edu.jas.application	Groebner base application package.
edu.jas.poly	Generic coefficients polynomial package.
edu.jas.root	Real and Complex Root Computation package.
edu.jas.ufd	Unique factorization domain package.

Uses of AlgebraicNumberRing in edu.jas.application

Fields in edu.jas.application declared as AlgebraicNumberRing

Modifier and Type	Field	Description
protected final AlgebraicNumberRing<C>	CoeffConvertAlg.afac
protected final AlgebraicNumberRing<C>	CoeffRecConvertAlg.afac
final AlgebraicNumberRing<C>	PrimitiveElement.Aring	The first original algebraic ring.
final AlgebraicNumberRing<C>	PrimitiveElement.Bring	The second original algebraic ring.
final AlgebraicNumberRing<C>	PrimitiveElement.primitiveElem	The primitive element.

Methods in edu.jas.application with parameters of type AlgebraicNumberRing

Modifier and Type	Method	Description
static <C extends GcdRingElem<C>> AlgebraicNumber<C>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> a)	Convert to primitive element ring.
static <C extends GcdRingElem<C>> AlgebraicNumber<C>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> B, AlgebraicNumber<AlgebraicNumber<C>> a)	Convert to primitive element ring.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, AlgebraicNumber<C> B, GenPolynomial<AlgebraicNumber<AlgebraicNumber<C>>> a)	Convert to primitive element ring.
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtilApp.convertToPrimitiveElem(AlgebraicNumberRing<C> cfac, AlgebraicNumber<C> A, GenPolynomial<AlgebraicNumber<C>> a)	Convert coefficients to primitive element ring.
static <C extends GcdRingElem<C>> FactorAbstract<AlgebraicNumber<C>>	FactorFactory.getImplementation(AlgebraicNumberRing<C> fac)	Determine suitable implementation of factorization algorithms, case AlgebraicNumber<C>.
static <C extends GcdRingElem<C>> PrimitiveElement<C>	PolyUtilApp.primitiveElement(AlgebraicNumberRing<C> a, AlgebraicNumberRing<C> b)	Construct primitive element for double field extension.
static <C extends GcdRingElem<C>> PrimitiveElement<C>	PolyUtilApp.primitiveElement(AlgebraicNumberRing<AlgebraicNumber<C>> b)	Construct primitive element for double field extension.
static <C extends GcdRingElem<C> & Rational> AlgebraicRootsPrimElem<C>	RootFactoryApp.rootReduce(AlgebraicNumberRing<C> a, AlgebraicNumberRing<C> b)	Root reduce of real and complex algebraic numbers.

Constructors in edu.jas.application with parameters of type AlgebraicNumberRing

Modifier	Constructor	Description
	CoeffConvertAlg(AlgebraicNumberRing<C> fac, AlgebraicNumber<C> a)
	CoeffRecConvertAlg(AlgebraicNumberRing<C> fac, AlgebraicNumber<C> a, AlgebraicNumber<C> b)
	FactorAlgebraicPrim(AlgebraicNumberRing<C> fac)	Constructor.
	FactorAlgebraicPrim(AlgebraicNumberRing<C> fac, FactorAbstract<C> factorCoeff)	Constructor.
protected	PrimitiveElement(AlgebraicNumberRing<C> pe, AlgebraicNumber<C> A, AlgebraicNumber<C> B)	Constructor.
protected	PrimitiveElement(AlgebraicNumberRing<C> pe, AlgebraicNumber<C> A, AlgebraicNumber<C> B, AlgebraicNumberRing<C> ar, AlgebraicNumberRing<C> br)	Constructor.

Uses of AlgebraicNumberRing in edu.jas.poly

Fields in edu.jas.poly declared as AlgebraicNumberRing

Modifier and Type	Field	Description
protected final AlgebraicNumberRing<C>	CoeffToAlg.afac
protected final AlgebraicNumberRing<C>	ComplToAlgeb.afac
protected final AlgebraicNumberRing<C>	PolyToAlg.afac
(package private) final AlgebraicNumberRing<C>	AlgebraicNumberIterator.aring
final AlgebraicNumberRing<C>	AlgebraicNumber.ring	Ring part of the data structure.

Fields in edu.jas.poly with type parameters of type AlgebraicNumberRing

Modifier and Type	Field	Description
protected final List<AlgebraicNumberRing<C>>	CoeffToRecAlg.lfac

Methods in edu.jas.poly that return AlgebraicNumberRing

Modifier and Type	Method	Description
AlgebraicNumberRing<C>	ComplexRing.algebraicRing()	Corresponding algebraic number ring.
AlgebraicNumberRing<C>	AlgebraicNumber.factory()	Get the corresponding element factory.

Constructors in edu.jas.poly with parameters of type AlgebraicNumberRing

Modifier	Constructor	Description
	AlgebraicNumber(AlgebraicNumberRing<C> r)	The constructor creates a AlgebraicNumber object from a GenPolynomial object module.
	AlgebraicNumber(AlgebraicNumberRing<C> r, GenPolynomial<C> a)	The constructor creates a AlgebraicNumber object from AlgebraicNumberRing modul and a GenPolynomial value.
	AlgebraicNumberIterator(AlgebraicNumberRing<C> aring)	CartesianProduct iterator constructor.
	CoeffToAlg(AlgebraicNumberRing<C> fac)
	CoeffToRecAlg(int depth, AlgebraicNumberRing<C> fac)
	ComplToAlgeb(AlgebraicNumberRing<C> fac)
	PolyToAlg(AlgebraicNumberRing<C> fac)

Uses of AlgebraicNumberRing in edu.jas.root

Fields in edu.jas.root declared as AlgebraicNumberRing

Modifier and Type	Field	Description
protected final AlgebraicNumberRing<C>	AlgFromRealCoeff.afac
final AlgebraicNumberRing<Complex<C>>	ComplexAlgebraicRing.algebraic	Representing AlgebraicNumberRing.
final AlgebraicNumberRing<C>	RealAlgebraicRing.algebraic	Representing AlgebraicNumberRing.

Methods in edu.jas.root that return AlgebraicNumberRing

Modifier and Type	Method	Description
AlgebraicNumberRing<C>	AlgebraicRoots.getAlgebraicRing()	Algebraic number ring.

Constructors in edu.jas.root with parameters of type AlgebraicNumberRing

Modifier	Constructor	Description
	AlgFromRealCoeff(AlgebraicNumberRing<C> fac)

Uses of AlgebraicNumberRing in edu.jas.ufd

Fields in edu.jas.ufd declared as AlgebraicNumberRing

Modifier and Type	Field	Description
protected final AlgebraicNumberRing<C>	SquarefreeFieldCharP.aCoFac	Factory for a algebraic extension of a finite field of characteristic p coefficients.
final AlgebraicNumberRing<C>	FactorComplex.afac	Complex algebraic factory.
final AlgebraicNumberRing<C>	Factors.afac	Algebraic field extension over C.

Methods in edu.jas.ufd that return AlgebraicNumberRing

Modifier and Type	Method	Description
static <C extends GcdRingElem<C>> AlgebraicNumberRing<C>	PolyUfdUtil.algebraicNumberField(GenPolynomialRing<C> ring, int degree)	Construct an algebraic number field of degree d.
static <C extends GcdRingElem<C>> AlgebraicNumberRing<C>	PolyUfdUtil.algebraicNumberField(RingFactory<C> cfac, int degree)	Construct an algebraic number field of degree d.
AlgebraicNumberRing<C>	Factors.findExtensionField()	Find largest extension field.
AlgebraicNumberRing<C>	FactorsList.findExtensionField()	Find largest extension field.
AlgebraicNumberRing<C>	FactorsMap.findExtensionField()	Find largest extension field.

Methods in edu.jas.ufd with parameters of type AlgebraicNumberRing

Modifier and Type	Method	Description
static <C extends GcdRingElem<C>> void	PolyUfdUtil.ensureFieldProperty(AlgebraicNumberRing<C> afac)	Ensure that the field property is determined.
static <C extends GcdRingElem<C>> FactorAbstract<AlgebraicNumber<C>>	FactorFactory.getImplementation(AlgebraicNumberRing<C> fac)	Determine suitable implementation of factorization algorithms, case AlgebraicNumber<C>.
static <C extends GcdRingElem<C>> SquarefreeAbstract<AlgebraicNumber<C>>	SquarefreeFactory.getImplementation(AlgebraicNumberRing<C> fac)	Determine suitable implementation of squarefree factorization algorithms, case AlgebraicNumber<C>.

Constructors in edu.jas.ufd with parameters of type AlgebraicNumberRing

Modifier	Constructor	Description
	FactorAlgebraic(AlgebraicNumberRing<C> fac)	Constructor.
	FactorAlgebraic(AlgebraicNumberRing<C> fac, FactorAbstract<C> factorCoeff)	Constructor.
	Factors(GenPolynomial<C> p, AlgebraicNumberRing<C> af, GenPolynomial<AlgebraicNumber<C>> ap, List<GenPolynomial<AlgebraicNumber<C>>> afact)	Constructor.
	Factors(GenPolynomial<C> p, AlgebraicNumberRing<C> af, GenPolynomial<AlgebraicNumber<C>> ap, List<GenPolynomial<AlgebraicNumber<C>>> afact, List<Factors<AlgebraicNumber<C>>> arfact)	Constructor.