Uses of Class
edu.jas.root.RealAlgebraicNumber

Packages that use RealAlgebraicNumber

Package	Description
edu.jas.application	Groebner base application package.
edu.jas.root	Real and Complex Root Computation package.
edu.jas.ufdroot	Unique Factorization Domain and Roots package.

Uses of RealAlgebraicNumber in edu.jas.application

Classes in edu.jas.application that implement interfaces with type arguments of type RealAlgebraicNumber

Modifier and Type	Class	Description
(package private) class	RealFromReAlgCoeff<C extends GcdRingElem<C> & Rational>	Coefficient to real algebriac from algebraic functor.
(package private) class	ReAlgFromRealCoeff<C extends GcdRingElem<C> & Rational>	Coefficient to real algebriac from real algebraic functor.

Fields in edu.jas.application declared as RealAlgebraicNumber

Modifier and Type	Field	Description
final RealAlgebraicNumber<RealAlgebraicNumber<C>>	RealAlgebraicNumber.number	Representing recursive RealAlgebraicNumber.

Fields in edu.jas.application with type parameters of type RealAlgebraicNumber

Modifier and Type	Field	Description
final FactorAbstract<RealAlgebraicNumber<C>>	FactorRealReal.factorAlgebraic	Factorization engine for base coefficients.
final RealAlgebraicNumber<RealAlgebraicNumber<C>>	RealAlgebraicNumber.number	Representing recursive RealAlgebraicNumber.
final List<List<RealAlgebraicNumber<D>>>	IdealWithRealAlgebraicRoots.ran	The list of real algebraic roots.
final RealAlgebraicRing<RealAlgebraicNumber<C>>	RealAlgebraicRing.realRing	Recursive real root ring.

Methods in edu.jas.application that return RealAlgebraicNumber

Modifier and Type	Method	Description
RealAlgebraicNumber<C>	ReAlgFromRealCoeff.eval(RealAlgebraicNumber<C> c)

Methods in edu.jas.application that return types with arguments of type RealAlgebraicNumber

Modifier and Type	Method	Description
static <C extends GcdRingElem<C> & Rational> FactorAbstract<RealAlgebraicNumber<C>>	FactorFactory.getImplementation(RealAlgebraicRing<C> fac)	Determine suitable implementation of factorization algorithms, case RealAlgebraicNumber<C>.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilApp.realAlgFromRealCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> afac, GenPolynomial<RealAlgebraicNumber<C>> A)	Convert to RealAlgebraicNumber coefficients.

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

Modifier and Type	Method	Description
int	RealAlgebraicNumber.compareTo(RealAlgebraicNumber<RealAlgebraicNumber<C>> b)	RealAlgebraicNumber comparison.
RealAlgebraicNumber<C>	RealFromReAlgCoeff.eval(RealAlgebraicNumber<C> c)
RealAlgebraicNumber<C>	RealAlgebraicNumber.multiply(RealAlgebraicNumber<RealAlgebraicNumber<C>> c)	RealAlgebraicNumber multiplication.
RealAlgebraicNumber<C>	RealAlgebraicNumber.sum(RealAlgebraicNumber<RealAlgebraicNumber<C>> c)	RealAlgebraicNumber summation.

Method parameters in edu.jas.application with type arguments of type RealAlgebraicNumber

Modifier and Type	Method	Description
int	RealAlgebraicNumber.compareTo(RealAlgebraicNumber<RealAlgebraicNumber<C>> b)	RealAlgebraicNumber comparison.
RealAlgebraicNumber<C>	RealAlgebraicNumber.multiply(RealAlgebraicNumber<RealAlgebraicNumber<C>> c)	RealAlgebraicNumber multiplication.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilApp.realAlgFromRealCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> afac, GenPolynomial<RealAlgebraicNumber<C>> A)	Convert to RealAlgebraicNumber coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilApp.realFromRealAlgCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> rfac, GenPolynomial<RealAlgebraicNumber<C>> A)	Convert to RealAlgebraicNumber coefficients.
RealAlgebraicNumber<C>	RealAlgebraicNumber.sum(RealAlgebraicNumber<RealAlgebraicNumber<C>> c)	RealAlgebraicNumber summation.

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

Modifier	Constructor	Description
	RealAlgebraicNumber(RealAlgebraicRing<C> r, RealAlgebraicNumber<RealAlgebraicNumber<C>> a)	The constructor creates a RealAlgebraicNumber object from a recursive real algebraic value.

Constructor parameters in edu.jas.application with type arguments of type RealAlgebraicNumber

Modifier	Constructor	Description
	AlgebraicRootsPrimElem(GenPolynomial<C> p, GenPolynomial<Complex<C>> cp, List<RealAlgebraicNumber<C>> r, List<ComplexAlgebraicNumber<C>> c, PrimitiveElement<C> pe, List<AlgebraicNumber<C>> ru)	Constructor.
	FactorRealReal(RealAlgebraicRing<C> fac, FactorAbstract<RealAlgebraicNumber<C>> factorAlgebraic)	Constructor.
	IdealWithRealAlgebraicRoots(IdealWithUniv<D> iu, List<List<RealAlgebraicNumber<D>>> rr)	Constructor.
	RealAlgebraicNumber(RealAlgebraicRing<C> r, RealAlgebraicNumber<RealAlgebraicNumber<C>> a)	The constructor creates a RealAlgebraicNumber object from a recursive real algebraic value.

Uses of RealAlgebraicNumber in edu.jas.root

Classes in edu.jas.root that implement interfaces with type arguments of type RealAlgebraicNumber

Modifier and Type	Class	Description
(package private) class	AlgFromRealCoeff<C extends GcdRingElem<C> & Rational>	Coefficient to algebraic from real algebraic functor.
(package private) class	CoeffToReal<C extends GcdRingElem<C> & Rational>	Coefficient to real algebraic functor.
(package private) class	CoeffToReAlg<C extends GcdRingElem<C> & Rational>	Coefficient to algebraic functor.
(package private) class	CoeffToRecReAlg<C extends GcdRingElem<C> & Rational>	Coefficient to recursive algebraic functor.
(package private) class	PolyToReAlg<C extends GcdRingElem<C> & Rational>	Polynomial to algebraic functor.
class	RealAlgebraicNumber<C extends GcdRingElem<C> & Rational>	Real algebraic number class based on AlgebraicNumber.
class	RealAlgebraicRing<C extends GcdRingElem<C> & Rational>	Real algebraic number factory class based on AlgebraicNumberRing with RingFactory interface.
(package private) class	RealFromAlgCoeff<C extends GcdRingElem<C> & Rational>	Coefficient to real algebriac from algebraic functor.

Fields in edu.jas.root with type parameters of type RealAlgebraicNumber

Modifier and Type	Field	Description
final List<RealAlgebraicNumber<C>>	AlgebraicRoots.real	Real algebraic roots.
final List<RealAlgebraicNumber<C>>	RealRootTuple.tuple	Tuple of RealAlgebraicNumbers.

Methods in edu.jas.root that return RealAlgebraicNumber

Modifier and Type	Method	Description
RealAlgebraicNumber<C>	RealAlgebraicNumber.abs()	RealAlgebraicNumber absolute value.
RealAlgebraicNumber<C>	RealAlgebraicNumber.copy()	Copy this.
RealAlgebraicNumber<C>	RealAlgebraicRing.copy(RealAlgebraicNumber<C> c)	Copy RealAlgebraicNumber element c.
RealAlgebraicNumber<C>	RealAlgebraicNumber.divide(RealAlgebraicNumber<C> S)	RealAlgebraicNumber division.
RealAlgebraicNumber<C>[]	RealAlgebraicNumber.egcd(RealAlgebraicNumber<C> S)	RealAlgebraicNumber extended greatest common divisor.
RealAlgebraicNumber<C>	CoeffToReal.eval(C c)
RealAlgebraicNumber<C>	CoeffToReAlg.eval(C c)
RealAlgebraicNumber<C>	CoeffToRecReAlg.eval(C c)
RealAlgebraicNumber<C>	PolyToReAlg.eval(GenPolynomial<C> c)
RealAlgebraicNumber<C>	RealFromAlgCoeff.eval(AlgebraicNumber<C> c)
RealAlgebraicNumber<C>	RealAlgebraicRing.fromInteger(long a)	Get a RealAlgebraicNumber element from a long value.
RealAlgebraicNumber<C>	RealAlgebraicRing.fromInteger(BigInteger a)	Get a RealAlgebraicNumber element from a BigInteger value.
RealAlgebraicNumber<C>	RealAlgebraicRing.fromRational(BigRational a)	Get a RealAlgebraicNumber element from a BigRational value.
RealAlgebraicNumber<C>	RealAlgebraicNumber.gcd(RealAlgebraicNumber<C> S)	RealAlgebraicNumber greatest common divisor.
RealAlgebraicNumber<C>	RealAlgebraicRing.getGenerator()	Get the generating element.
RealAlgebraicNumber<C>	RealAlgebraicRing.getONE()	Get the one element.
RealAlgebraicNumber<C>	RealAlgebraicRing.getZERO()	Get the zero element.
RealAlgebraicNumber<C>	RealAlgebraicNumber.inverse()	RealAlgebraicNumber inverse.
RealAlgebraicNumber<C>	RealAlgebraicNumber.monic()	RealAlgebraicNumber monic.
RealAlgebraicNumber<C>	RealAlgebraicNumber.multiply(C c)	RealAlgebraicNumber multiplication.
RealAlgebraicNumber<C>	RealAlgebraicNumber.multiply(GenPolynomial<C> c)	RealAlgebraicNumber multiplication.
RealAlgebraicNumber<C>	RealAlgebraicNumber.multiply(RealAlgebraicNumber<C> S)	RealAlgebraicNumber multiplication.
RealAlgebraicNumber<C>	RealAlgebraicNumber.negate()	RealAlgebraicNumber negate.
RealAlgebraicNumber<C>	RealAlgebraicRing.parse(Reader r)	Parse RealAlgebraicNumber from Reader.
RealAlgebraicNumber<C>	RealAlgebraicRing.parse(String s)	Parse RealAlgebraicNumber from String.
RealAlgebraicNumber<C>[]	RealAlgebraicNumber.quotientRemainder(RealAlgebraicNumber<C> S)	Quotient and remainder by division of this by S.
RealAlgebraicNumber<C>	RealAlgebraicRing.random(int n)	RealAlgebraicNumber random.
RealAlgebraicNumber<C>	RealAlgebraicRing.random(int n, Random rnd)	RealAlgebraicNumber random.
RealAlgebraicNumber<C>	RealAlgebraicNumber.remainder(RealAlgebraicNumber<C> S)	RealAlgebraicNumber remainder.
RealAlgebraicNumber<C>	RealAlgebraicNumber.subtract(RealAlgebraicNumber<C> S)	RealAlgebraicNumber subtraction.
RealAlgebraicNumber<C>	RealAlgebraicNumber.sum(C c)	RealAlgebraicNumber summation.
RealAlgebraicNumber<C>	RealAlgebraicNumber.sum(GenPolynomial<C> c)	RealAlgebraicNumber summation.
RealAlgebraicNumber<C>	RealAlgebraicNumber.sum(RealAlgebraicNumber<C> S)	RealAlgebraicNumber summation.

Methods in edu.jas.root that return types with arguments of type RealAlgebraicNumber

Modifier and Type	Method	Description
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.convertRecursiveToAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<GenPolynomial<C>> A)	Convert to RealAlgebraicNumber coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.convertToAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<C> A)	Convert to RealAlgebraicNumber coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.convertToRealCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<C> A)	Convert to RealAlgebraicNumber coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.convertToRecAlgebraicCoefficients(int depth, GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<C> A)	Convert to recursive RealAlgebraicNumber coefficients.
List<RealAlgebraicNumber<C>>	RealAlgebraicRing.generators()	Get a list of the generating elements.
static <C extends GcdRingElem<C> & Rational> List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbers(GenPolynomial<C> f)	Real algebraic numbers.
static <C extends GcdRingElem<C> & Rational> List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbers(GenPolynomial<C> f, BigRational eps)	Real algebraic numbers.
static <C extends GcdRingElem<C> & Rational> List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbersField(GenPolynomial<C> f)	Real algebraic numbers from a field.
static <C extends GcdRingElem<C> & Rational> List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbersField(GenPolynomial<C> f, BigRational eps)	Real algebraic numbers from a field.
static <C extends GcdRingElem<C> & Rational> List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbersIrred(GenPolynomial<C> f)	Real algebraic numbers from a irreducible polynomial.
static <C extends GcdRingElem<C> & Rational> List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbersIrred(GenPolynomial<C> f, BigRational eps)	Real algebraic numbers from a irreducible polynomial.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.realFromAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> rfac, GenPolynomial<AlgebraicNumber<C>> A)	Convert to RealAlgebraicNumber coefficients.

Methods in edu.jas.root with parameters of type RealAlgebraicNumber

Modifier and Type	Method	Description
int	RealAlgebraicNumber.compareTo(RealAlgebraicNumber<C> b)	RealAlgebraicNumber comparison.
static List<BigInteger>	RealArithUtil.continuedFraction(RealAlgebraicNumber<BigRational> A, int M)	Continued fraction.
RealAlgebraicNumber<C>	RealAlgebraicRing.copy(RealAlgebraicNumber<C> c)	Copy RealAlgebraicNumber element c.
RealAlgebraicNumber<C>	RealAlgebraicNumber.divide(RealAlgebraicNumber<C> S)	RealAlgebraicNumber division.
RealAlgebraicNumber<C>[]	RealAlgebraicNumber.egcd(RealAlgebraicNumber<C> S)	RealAlgebraicNumber extended greatest common divisor.
AlgebraicNumber<C>	AlgFromRealCoeff.eval(RealAlgebraicNumber<C> c)
RealAlgebraicNumber<C>	RealAlgebraicNumber.gcd(RealAlgebraicNumber<C> S)	RealAlgebraicNumber greatest common divisor.
static <C extends GcdRingElem<C> & Rational> boolean	RootFactory.isRealRoot(GenPolynomial<C> f, ComplexAlgebraicNumber<C> c, RealAlgebraicNumber<C> r)	Is complex algebraic number a real root of a polynomial.
static <C extends GcdRingElem<C> & Rational> boolean	RootFactory.isRoot(GenPolynomial<C> f, RealAlgebraicNumber<C> r)	Is real algebraic number a root of a polynomial.
RealAlgebraicNumber<C>	RealAlgebraicNumber.multiply(RealAlgebraicNumber<C> S)	RealAlgebraicNumber multiplication.
RealAlgebraicNumber<C>[]	RealAlgebraicNumber.quotientRemainder(RealAlgebraicNumber<C> S)	Quotient and remainder by division of this by S.
RealAlgebraicNumber<C>	RealAlgebraicNumber.remainder(RealAlgebraicNumber<C> S)	RealAlgebraicNumber remainder.
RealAlgebraicNumber<C>	RealAlgebraicNumber.subtract(RealAlgebraicNumber<C> S)	RealAlgebraicNumber subtraction.
RealAlgebraicNumber<C>	RealAlgebraicNumber.sum(RealAlgebraicNumber<C> S)	RealAlgebraicNumber summation.

Method parameters in edu.jas.root with type arguments of type RealAlgebraicNumber

Modifier and Type	Method	Description
static <C extends GcdRingElem<C> & Rational> GenPolynomial<AlgebraicNumber<C>>	PolyUtilRoot.algebraicFromRealCoefficients(GenPolynomialRing<AlgebraicNumber<C>> afac, GenPolynomial<RealAlgebraicNumber<C>> A)	Convert to AlgebraicNumber coefficients.
boolean	RealRootTuple.contains(List<RealAlgebraicNumber<C>> c)	Contains a point.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.convertRecursiveToAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<GenPolynomial<C>> A)	Convert to RealAlgebraicNumber coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.convertToAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<C> A)	Convert to RealAlgebraicNumber coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.convertToRealCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<C> A)	Convert to RealAlgebraicNumber coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.convertToRecAlgebraicCoefficients(int depth, GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<C> A)	Convert to recursive RealAlgebraicNumber coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>	PolyUtilRoot.realFromAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> rfac, GenPolynomial<AlgebraicNumber<C>> A)	Convert to RealAlgebraicNumber coefficients.

Constructor parameters in edu.jas.root with type arguments of type RealAlgebraicNumber

Modifier	Constructor	Description
	AlgebraicRoots(GenPolynomial<C> p, GenPolynomial<Complex<C>> cp, List<RealAlgebraicNumber<C>> r, List<ComplexAlgebraicNumber<C>> c)	Constructor.
	RealRootTuple(List<RealAlgebraicNumber<C>> t)	Constructor.

Uses of RealAlgebraicNumber in edu.jas.ufdroot

Subclasses with type arguments of type RealAlgebraicNumber in edu.jas.ufdroot

Modifier and Type	Class	Description
class	FactorRealAlgebraic<C extends GcdRingElem<C> & Rational>	Real algebraic number coefficients factorization algorithms.

Methods in edu.jas.ufdroot that return types with arguments of type RealAlgebraicNumber

Modifier and Type	Method	Description
List<GenPolynomial<RealAlgebraicNumber<C>>>	FactorRealAlgebraic.baseFactorsSquarefree(GenPolynomial<RealAlgebraicNumber<C>> P)	GenPolynomial base factorization of a squarefree polynomial.

Method parameters in edu.jas.ufdroot with type arguments of type RealAlgebraicNumber

Modifier and Type	Method	Description
List<GenPolynomial<RealAlgebraicNumber<C>>>	FactorRealAlgebraic.baseFactorsSquarefree(GenPolynomial<RealAlgebraicNumber<C>> P)	GenPolynomial base factorization of a squarefree polynomial.