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 AlgebraicNumberRing<C>`	CoeffConvertAlg.`afac`
`protected AlgebraicNumberRing<C>`	CoeffRecConvertAlg.`afac`
`AlgebraicNumberRing<C>`	PrimitiveElement.`Aring`	The first original algebraic ring.
`AlgebraicNumberRing<C>`	PrimitiveElement.`Bring`	The second original algebraic ring.
`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
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.
`PrimitiveElement(AlgebraicNumberRing<C> pe, AlgebraicNumber<C> A, AlgebraicNumber<C> B)`	Constructor.
`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 AlgebraicNumberRing<C>`	CoeffToAlg.`afac`
`protected AlgebraicNumberRing<C>`	ComplToAlgeb.`afac`
`protected AlgebraicNumberRing<C>`	PolyToAlg.`afac`
`(package private) AlgebraicNumberRing<C>`	AlgebraicNumberIterator.`aring`
`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 java.util.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
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 AlgebraicNumberRing<C>`	AlgFromRealCoeff.`afac`
`AlgebraicNumberRing<Complex<C>>`	ComplexAlgebraicRing.`algebraic`	Representing AlgebraicNumberRing.
`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
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 AlgebraicNumberRing<C>`	SquarefreeFieldCharP.`aCoFac`	Factory for a algebraic extension of a finite field of characteristic p coefficients.
`AlgebraicNumberRing<C>`	FactorComplex.`afac`	Complex algebraic factory.
`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
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, java.util.List<GenPolynomial<AlgebraicNumber<C>>> afact)`	Constructor.
`Factors(GenPolynomial<C> p, AlgebraicNumberRing<C> af, GenPolynomial<AlgebraicNumber<C>> ap, java.util.List<GenPolynomial<AlgebraicNumber<C>>> afact, java.util.List<Factors<AlgebraicNumber<C>>> arfact)`	Constructor.