Uses of Class
edu.jas.root.RealAlgebraicNumber
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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. -
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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>
booleanRootFactory. 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>
booleanRootFactory. 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.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.
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