Uses of Class
edu.jas.application.RealAlgebraicNumber

Packages that use RealAlgebraicNumber

Package	Description
edu.jas.application	Groebner base application package.

Uses of RealAlgebraicNumber in edu.jas.application

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

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

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

Modifier and Type	Class	Description
(package private) class	CoeffToComplexReal<C extends GcdRingElem<C> & Rational>	Coefficient to complex real algebriac functor.
(package private) class	EvaluateToComplexReal<C extends GcdRingElem<C> & Rational>	Polynomial coefficient to complex real algebriac evaluation functor.
class	RealAlgebraicNumber<C extends GcdRingElem<C> & Rational>	Complex algebraic number class based on bi-variate real algebraic numbers.
class	RealAlgebraicRing<C extends GcdRingElem<C> & Rational>	Real algebraic number factory class based on bi-variate real algebraic numbers.
(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 with type parameters of type RealAlgebraicNumber

Modifier and Type	Field	Description
final List<List<Complex<RealAlgebraicNumber<D>>>>	IdealWithComplexAlgebraicRoots.can	The list of complex algebraic roots.
protected final ComplexRing<RealAlgebraicNumber<C>>	CoeffToComplexReal.cfac
protected final ComplexRing<RealAlgebraicNumber<C>>	EvaluateToComplexReal.cfac
protected final GenPolynomialRing<Complex<RealAlgebraicNumber<C>>>	EvaluateToComplexReal.pfac
protected final Complex<RealAlgebraicNumber<C>>	EvaluateToComplexReal.root

Methods in edu.jas.application that return RealAlgebraicNumber

Modifier and Type	Method	Description
RealAlgebraicNumber<C>	RealAlgebraicNumber.abs()	RealAlgebraicNumber absolute value.
RealAlgebraicNumber<C>	RealAlgebraicNumber.copy()	Clone 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>	RealFromReAlgCoeff.eval(RealAlgebraicNumber<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>	RealAlgebraicNumber.gcd(RealAlgebraicNumber<C> S)	RealAlgebraicNumber greatest common divisor.
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(RealAlgebraicNumber<C> S)	RealAlgebraicNumber multiplication.
RealAlgebraicNumber<C>	RealAlgebraicNumber.multiply(RealAlgebraicNumber<RealAlgebraicNumber<C>> c)	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>	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(RealAlgebraicNumber<C> S)	RealAlgebraicNumber summation.
RealAlgebraicNumber<C>	RealAlgebraicNumber.sum(RealAlgebraicNumber<RealAlgebraicNumber<C>> c)	RealAlgebraicNumber summation.

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

Modifier and Type	Method	Description
List<GenPolynomial<RealAlgebraicNumber<C>>>	FactorRealReal.baseFactorsSquarefree(GenPolynomial<RealAlgebraicNumber<C>> P)	GenPolynomial base factorization of a squarefree polynomial.
static <C extends GcdRingElem<C> & Rational> List<Complex<RealAlgebraicNumber<C>>>	RootFactoryApp.complexAlgebraicNumbersComplex(GenPolynomial<Complex<C>> f)	Complex algebraic number roots.
static <C extends GcdRingElem<C> & Rational> List<Complex<RealAlgebraicNumber<C>>>	RootFactoryApp.complexAlgebraicNumbersSquarefree(GenPolynomial<Complex<C>> f)	Complex algebraic number roots.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<Complex<RealAlgebraicNumber<C>>>	PolyUtilApp.convertToComplexRealCoefficients(GenPolynomialRing<Complex<RealAlgebraicNumber<C>>> pfac, GenPolynomial<Complex<C>> A)	Convert to Complex<RealAlgebraicNumber> coefficients.
Complex<RealAlgebraicNumber<C>>	CoeffToComplexReal.eval(Complex<C> c)
Complex<RealAlgebraicNumber<C>>	EvaluateToComplexReal.eval(GenPolynomial<Complex<C>> c)
static <C extends GcdRingElem<C> & Rational> GenPolynomial<Complex<RealAlgebraicNumber<C>>>	PolyUtilApp.evaluateToComplexRealCoefficients(GenPolynomialRing<Complex<RealAlgebraicNumber<C>>> pfac, GenPolynomial<GenPolynomial<Complex<C>>> A, Complex<RealAlgebraicNumber<C>> r)	Evaluate to Complex<RealAlgebraicNumber> coefficients.
List<RealAlgebraicNumber<C>>	RealAlgebraicRing.generators()	Get a list of the generating elements.
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.realFromRealAlgCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> rfac, 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<C> b)	RealAlgebraicNumber comparison.
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>	ReAlgFromRealCoeff.eval(RealAlgebraicNumber<C> c)
RealAlgebraicNumber<C>	RealAlgebraicNumber.gcd(RealAlgebraicNumber<C> S)	RealAlgebraicNumber greatest common divisor.
RealAlgebraicNumber<C>	RealAlgebraicNumber.multiply(RealAlgebraicNumber<C> S)	RealAlgebraicNumber multiplication.
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.application with type arguments of type RealAlgebraicNumber

Modifier and Type	Method	Description
List<GenPolynomial<RealAlgebraicNumber<C>>>	FactorRealReal.baseFactorsSquarefree(GenPolynomial<RealAlgebraicNumber<C>> P)	GenPolynomial base factorization of a squarefree polynomial.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<Complex<RealAlgebraicNumber<C>>>	PolyUtilApp.convertToComplexRealCoefficients(GenPolynomialRing<Complex<RealAlgebraicNumber<C>>> pfac, GenPolynomial<Complex<C>> A)	Convert to Complex<RealAlgebraicNumber> coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<Complex<RealAlgebraicNumber<C>>>	PolyUtilApp.evaluateToComplexRealCoefficients(GenPolynomialRing<Complex<RealAlgebraicNumber<C>>> pfac, GenPolynomial<GenPolynomial<Complex<C>>> A, Complex<RealAlgebraicNumber<C>> r)	Evaluate to Complex<RealAlgebraicNumber> coefficients.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<Complex<RealAlgebraicNumber<C>>>	PolyUtilApp.evaluateToComplexRealCoefficients(GenPolynomialRing<Complex<RealAlgebraicNumber<C>>> pfac, GenPolynomial<GenPolynomial<Complex<C>>> A, Complex<RealAlgebraicNumber<C>> r)	Evaluate to Complex<RealAlgebraicNumber> coefficients.
static <C extends GcdRingElem<C> & Rational> boolean	RootFactoryApp.isRoot(GenPolynomial<Complex<C>> f, Complex<RealAlgebraicNumber<C>> r)	Is complex algebraic number a root of a polynomial.
static <C extends GcdRingElem<C> & Rational> boolean	RootFactoryApp.isRoot(GenPolynomial<Complex<C>> f, List<Complex<RealAlgebraicNumber<C>>> R)	Is complex algebraic number a root of a polynomial.
static <C extends GcdRingElem<C> & Rational> boolean	RootFactoryApp.isRootRealCoeff(GenPolynomial<C> f, Complex<RealAlgebraicNumber<C>> r)	Is complex algebraic number a root of a polynomial.
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.
static <D extends GcdRingElem<D> & Rational> String	PolyUtilApp.toString(Complex<RealAlgebraicNumber<D>> c)	String representation of a deximal approximation of a complex number.

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

Modifier	Constructor	Description
	CoeffToComplexReal(ComplexRing<RealAlgebraicNumber<C>> fac)
	EvaluateToComplexReal(GenPolynomialRing<Complex<RealAlgebraicNumber<C>>> fac, Complex<RealAlgebraicNumber<C>> r)
	EvaluateToComplexReal(GenPolynomialRing<Complex<RealAlgebraicNumber<C>>> fac, Complex<RealAlgebraicNumber<C>> r)
	IdealWithComplexAlgebraicRoots(IdealWithUniv<D> iu, List<List<Complex<RealAlgebraicNumber<D>>>> cr)	Constructor.