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

Fields in edu.jas.application declared as RealAlgebraicNumber

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

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

Modifier and Type	Field	Description
FactorAbstract<RealAlgebraicNumber<C>>	FactorRealReal.factorAlgebraic	Factorization engine for base coefficients.
RealAlgebraicNumber<RealAlgebraicNumber<C>>	RealAlgebraicNumber.number	Representing recursive RealAlgebraicNumber.
java.util.List<java.util.List<RealAlgebraicNumber<D>>>	IdealWithRealAlgebraicRoots.ran	The list of real algebraic roots.
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

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

Constructor	Description
AlgebraicRootsPrimElem(GenPolynomial<C> p, GenPolynomial<Complex<C>> cp, java.util.List<RealAlgebraicNumber<C>> r, java.util.List<ComplexAlgebraicNumber<C>> c, PrimitiveElement<C> pe, java.util.List<AlgebraicNumber<C>> ru)	Constructor.
FactorRealReal(RealAlgebraicRing<C> fac, FactorAbstract<RealAlgebraicNumber<C>> factorAlgebraic)	Constructor.
IdealWithRealAlgebraicRoots(IdealWithUniv<D> iu, java.util.List<java.util.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

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

Modifier and Type	Field	Description
java.util.List<RealAlgebraicNumber<C>>	AlgebraicRoots.real	Real algebraic roots.
java.util.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(java.math.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(java.io.Reader r)	Parse RealAlgebraicNumber from Reader.
RealAlgebraicNumber<C>	RealAlgebraicRing.parse(java.lang.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, java.util.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.
java.util.List<RealAlgebraicNumber<C>>	RealAlgebraicRing.generators()	Get a list of the generating elements.
static <C extends GcdRingElem<C> & Rational> java.util.List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbers(GenPolynomial<C> f)	Real algebraic numbers.
static <C extends GcdRingElem<C> & Rational> java.util.List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbers(GenPolynomial<C> f, BigRational eps)	Real algebraic numbers.
static <C extends GcdRingElem<C> & Rational> java.util.List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbersField(GenPolynomial<C> f)	Real algebraic numbers from a field.
static <C extends GcdRingElem<C> & Rational> java.util.List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbersField(GenPolynomial<C> f, BigRational eps)	Real algebraic numbers from a field.
static <C extends GcdRingElem<C> & Rational> java.util.List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbersIrred(GenPolynomial<C> f)	Real algebraic numbers from a irreducible polynomial.
static <C extends GcdRingElem<C> & Rational> java.util.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 java.util.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(java.util.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

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

Uses of RealAlgebraicNumber in edu.jas.ufdroot

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

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