Uses of Class
edu.jas.poly.Complex

Packages that use Complex

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 Complex in edu.jas.application

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

Modifier and Type	Class	Description
(package private) class	CoeffToComplexReal<C extends GcdRingElem<C> & Rational>	Coefficient to complex real algebriac functor.
(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.
(package private) class	EvaluateToComplexReal<C extends GcdRingElem<C> & Rational>	Polynomial coefficient to complex real algebriac evaluation functor.

Fields in edu.jas.application declared as Complex

Modifier and Type	Field	Description
protected final Complex<RealAlgebraicNumber<C>>	EvaluateToComplexReal.root

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

Modifier and Type	Field	Description
final List<List<Complex<RealAlgebraicNumber<D>>>>	IdealWithComplexAlgebraicRoots.can	The list of complex algebraic roots.
final List<List<Complex<BigDecimal>>>	IdealWithComplexRoots.croots	The list of complex roots.
protected List<List<Complex<BigDecimal>>>	IdealWithComplexAlgebraicRoots.droots	The list of decimal approximations of the complex algebraic roots.
protected final GenPolynomialRing<Complex<RealAlgebraicNumber<C>>>	EvaluateToComplexReal.pfac

Methods in edu.jas.application that return Complex

Modifier and Type	Method	Description
Complex<RealAlgebraicNumber<C>>	CoeffToComplexReal.eval(Complex<C> c)
Complex<RealAlgebraicNumber<C>>	EvaluateToComplexReal.eval(GenPolynomial<Complex<C>> c)

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

Modifier and Type	Method	Description
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 <D extends GcdRingElem<D> & Rational> List<List<Complex<BigDecimal>>>	PolyUtilApp.complexRoots(Ideal<D> I, List<GenPolynomial<D>> univs, BigRational eps)	Construct superset of complex roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<List<Complex<BigDecimal>>>	PolyUtilApp.complexRootTuples(Ideal<D> I, BigRational eps)	Construct superset of complex roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<List<Complex<BigDecimal>>>	PolyUtilApp.complexRootTuples(List<IdealWithUniv<D>> Il, BigRational eps)	Construct superset of complex roots for zero dimensional ideal(G).
(package private) static <C extends RingElem<C>> GenPolynomial<Complex<C>>	PolyUtilApp.convertComplex(GenPolynomialRing<Complex<C>> fac, GenPolynomial<C> p)
(package private) static <C extends RingElem<C>> GenPolynomial<Complex<C>>	PolyUtilApp.convertComplexComplex(GenPolynomialRing<Complex<C>> fac, GenPolynomial<Complex<C>> p)
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.
List<List<Complex<BigDecimal>>>	IdealWithComplexAlgebraicRoots.decimalApproximation()	Get decimal approximation of the complex root tuples.
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>> FactorAbstract<Complex<C>>	FactorFactory.getImplementation(ComplexRing<C> fac)	Determine suitable implementation of factorization algorithms, case Complex<C>.

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

Modifier and Type	Method	Description
Complex<RealAlgebraicNumber<C>>	CoeffToComplexReal.eval(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.
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.isRootRealCoeff(GenPolynomial<C> f, Complex<RealAlgebraicNumber<C>> r)	Is complex algebraic number a root of a polynomial.
static <D extends GcdRingElem<D> & Rational> String	PolyUtilApp.toString(Complex<RealAlgebraicNumber<D>> c)	String representation of a deximal approximation of a complex number.
static <D extends GcdRingElem<D> & Rational> String	PolyUtilApp.toString1(Complex<D> c)	String representation of a deximal approximation of a complex number.

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

Modifier and Type	Method	Description
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.
(package private) static <C extends RingElem<C>> GenPolynomial<Complex<C>>	PolyUtilApp.convertComplex(GenPolynomialRing<Complex<C>> fac, GenPolynomial<C> p)
(package private) static <C extends RingElem<C>> GenPolynomial<Complex<C>>	PolyUtilApp.convertComplexComplex(GenPolynomialRing<Complex<C>> fac, GenPolynomial<Complex<C>> p)
(package private) static <C extends RingElem<C>> GenPolynomial<Complex<C>>	PolyUtilApp.convertComplexComplex(GenPolynomialRing<Complex<C>> fac, GenPolynomial<Complex<C>> p)
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.convertToComplexRealCoefficients(GenPolynomialRing<Complex<RealAlgebraicNumber<C>>> pfac, GenPolynomial<Complex<C>> A)	Convert to Complex<RealAlgebraicNumber> coefficients.
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.
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 boolean	PolyUtilApp.isComplexRoots(List<GenPolynomial<Complex<BigDecimal>>> L, List<List<Complex<BigDecimal>>> roots, BigDecimal eps)	Test for complex roots of zero dimensional ideal(L).
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.isRoot(GenPolynomial<Complex<C>> f, List<Complex<RealAlgebraicNumber<C>>> R)	Is complex algebraic number a root of a polynomial.

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

Modifier	Constructor	Description
	EvaluateToComplexReal(GenPolynomialRing<Complex<RealAlgebraicNumber<C>>> fac, Complex<RealAlgebraicNumber<C>> r)

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

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

Uses of Complex in edu.jas.poly

Classes in edu.jas.poly that implement interfaces with type arguments of type Complex

Modifier and Type	Class	Description
(package private) class	AlgebToCompl<C extends GcdRingElem<C>>	Algebraic to generic complex functor.
(package private) class	AnyToComplex<C extends GcdRingElem<C>>	Any ring element to generic complex functor.
class	Complex<C extends RingElem<C>>	Generic Complex class implementing the RingElem interface.
class	Complex<C extends RingElem<C>>	Generic Complex class implementing the RingElem interface.
class	ComplexRing<C extends RingElem<C>>	Generic Complex ring factory implementing the RingFactory interface.
(package private) class	ComplToAlgeb<C extends GcdRingElem<C>>	Ceneric complex to algebraic number functor.
(package private) class	CompRatToDec<C extends RingElem<C> & Rational>	Conversion of Complex Rational to Complex BigDecimal.
(package private) class	CompRatToDec<C extends RingElem<C> & Rational>	Conversion of Complex Rational to Complex BigDecimal.
(package private) class	ImagPartComplex<C extends RingElem<C>>	Imaginary part functor.
(package private) class	RealPartComplex<C extends RingElem<C>>	Real part functor.
(package private) class	ToComplex<C extends RingElem<C>>	Rational to complex functor.

Methods in edu.jas.poly that return Complex

Modifier and Type	Method	Description
Complex<C>	Complex.abs()	Complex number absolute value.
Complex<C>	Complex.conjugate()	Complex number conjugate.
Complex<C>	Complex.copy()	Copy this.
Complex<C>	ComplexRing.copy(Complex<C> c)	Copy Complex element c.
Complex<C>	Complex.divide(Complex<C> B)	Complex number divide.
Complex<C>[]	Complex.egcd(Complex<C> S)	Complex extended greatest common divisor.
Complex<C>	AlgebToCompl.eval(AlgebraicNumber<C> a)
Complex<C>	AnyToComplex.eval(C a)
Complex<BigDecimal>	CompRatToDec.eval(Complex<C> c)
Complex<C>	ToComplex.eval(C c)
Complex<C>	ComplexRing.fromInteger(long a)	Get a Complex element from a long.
Complex<C>	ComplexRing.fromInteger(BigInteger a)	Get a Complex element from a BigInteger.
Complex<C>	Complex.gcd(Complex<C> S)	Complex number greatest common divisor.
Complex<C>	ComplexRing.getIMAG()	Get the i element.
Complex<C>	ComplexRing.getONE()	Get the one element.
Complex<C>	ComplexRing.getZERO()	Get the zero element.
Complex<C>	Complex.inverse()	Complex number inverse.
Complex<C>	Complex.multiply(Complex<C> B)	Complex number product.
Complex<C>	Complex.negate()	Complex number negative.
Complex<C>	Complex.norm()	Complex number norm.
Complex<C>	ComplexRing.parse(Reader r)	Parse complex number from Reader.
Complex<C>	ComplexRing.parse(String s)	Parse complex number from string.
Complex<C>[]	Complex.quotientRemainder(Complex<C> S)	Complex number quotient and remainder.
Complex<C>	ComplexRing.random(int n)	Complex number random.
Complex<C>	ComplexRing.random(int n, Random rnd)	Complex number random.
Complex<C>	Complex.remainder(Complex<C> S)	Complex number remainder.
Complex<C>	Complex.subtract(Complex<C> B)	Complex number subtract.
Complex<C>	Complex.sum(Complex<C> B)	Complex number summation.

Methods in edu.jas.poly that return types with arguments of type Complex

Modifier and Type	Method	Description
static <C extends RingElem<C> & Rational> GenPolynomial<Complex<BigDecimal>>	PolyUtil.complexDecimalFromRational(GenPolynomialRing<Complex<BigDecimal>> fac, GenPolynomial<Complex<C>> A)	Convert to complex decimal coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<Complex<C>>	PolyUtil.complexFromAlgebraic(GenPolynomialRing<Complex<C>> fac, GenPolynomial<AlgebraicNumber<C>> A)	Complex from algebraic coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<Complex<C>>	PolyUtil.complexFromAny(GenPolynomialRing<Complex<C>> fac, GenPolynomial<C> A)	Complex from ring element coefficients.
List<Complex<C>>	ComplexRing.generators()	Get a list of the generating elements.
static <C extends RingElem<C>> GenPolynomial<Complex<C>>	PolyUtil.toComplex(GenPolynomialRing<Complex<C>> fac, GenPolynomial<C> A)	Complex from real polynomial.

Methods in edu.jas.poly with parameters of type Complex

Modifier and Type	Method	Description
int	Complex.compareTo(Complex<C> b)	Since complex numbers are unordered, we use lexicographical order of re and im.
Complex<C>	ComplexRing.copy(Complex<C> c)	Copy Complex element c.
Complex<C>	Complex.divide(Complex<C> B)	Complex number divide.
Complex<C>[]	Complex.egcd(Complex<C> S)	Complex extended greatest common divisor.
AlgebraicNumber<C>	ComplToAlgeb.eval(Complex<C> c)
Complex<BigDecimal>	CompRatToDec.eval(Complex<C> c)
C	ImagPartComplex.eval(Complex<C> c)
C	RealPartComplex.eval(Complex<C> c)
Complex<C>	Complex.gcd(Complex<C> S)	Complex number greatest common divisor.
Complex<C>	Complex.multiply(Complex<C> B)	Complex number product.
Complex<C>[]	Complex.quotientRemainder(Complex<C> S)	Complex number quotient and remainder.
Complex<C>	Complex.remainder(Complex<C> S)	Complex number remainder.
Complex<C>	Complex.subtract(Complex<C> B)	Complex number subtract.
Complex<C>	Complex.sum(Complex<C> B)	Complex number summation.

Method parameters in edu.jas.poly with type arguments of type Complex

Modifier and Type	Method	Description
static <C extends GcdRingElem<C>> GenPolynomial<AlgebraicNumber<C>>	PolyUtil.algebraicFromComplex(GenPolynomialRing<AlgebraicNumber<C>> fac, GenPolynomial<Complex<C>> A)	AlgebraicNumber from complex coefficients.
static <C extends RingElem<C> & Rational> GenPolynomial<Complex<BigDecimal>>	PolyUtil.complexDecimalFromRational(GenPolynomialRing<Complex<BigDecimal>> fac, GenPolynomial<Complex<C>> A)	Convert to complex decimal coefficients.
static <C extends RingElem<C> & Rational> GenPolynomial<Complex<BigDecimal>>	PolyUtil.complexDecimalFromRational(GenPolynomialRing<Complex<BigDecimal>> fac, GenPolynomial<Complex<C>> A)	Convert to complex decimal coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<Complex<C>>	PolyUtil.complexFromAlgebraic(GenPolynomialRing<Complex<C>> fac, GenPolynomial<AlgebraicNumber<C>> A)	Complex from algebraic coefficients.
static <C extends GcdRingElem<C>> GenPolynomial<Complex<C>>	PolyUtil.complexFromAny(GenPolynomialRing<Complex<C>> fac, GenPolynomial<C> A)	Complex from ring element coefficients.
static <C extends RingElem<C>> GenPolynomial<C>	PolyUtil.imaginaryPartFromComplex(GenPolynomialRing<C> fac, GenPolynomial<Complex<C>> A)	Imaginary part.
static <C extends RingElem<C>> GenPolynomial<C>	PolyUtil.realPartFromComplex(GenPolynomialRing<C> fac, GenPolynomial<Complex<C>> A)	Real part.
static <C extends RingElem<C>> GenPolynomial<Complex<C>>	PolyUtil.toComplex(GenPolynomialRing<Complex<C>> fac, GenPolynomial<C> A)	Complex from real polynomial.

Constructor parameters in edu.jas.poly with type arguments of type Complex

Modifier	Constructor	Description
	CompRatToDec(RingFactory<Complex<BigDecimal>> ring)
	ToComplex(RingFactory<Complex<C>> fac)

Uses of Complex in edu.jas.root

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

Modifier and Type	Class	Description
(package private) class	CoeffToComplexFromComplex<C extends GcdRingElem<C> & Rational>	Coefficient to complex algebraic from complex functor.

Fields in edu.jas.root declared as Complex

Modifier and Type	Field	Description
final Complex<C>[]	Rectangle.corners	rectangle corners.

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

Modifier and Type	Field	Description
final GenPolynomial<Complex<C>>	Boundary.A	Polynomial.
final AlgebraicNumberRing<Complex<C>>	ComplexAlgebraicRing.algebraic	Representing AlgebraicNumberRing.
final List<Complex<BigDecimal>>	DecimalRoots.complex	complex decimal roots.
final GenPolynomial<Complex<C>>	AlgebraicRoots.cp	Univariate polynomial with complex coefficients equivalent to p.
final GenPolynomial<Complex<C>>	DecimalRoots.cp	univariate polynomial with complex coefficients.
final Squarefree<Complex<C>>	ComplexRootsAbstract.engine	Engine for square free decomposition.
final AlgebraicNumber<Complex<C>>	ComplexAlgebraicNumber.number	Representing AlgebraicNumber.
protected final AlgebraicNumber<Complex<C>>	CoeffToComplex.zero
protected final AlgebraicNumber<Complex<C>>	CoeffToComplexFromComplex.zero

Methods in edu.jas.root that return Complex

Modifier and Type	Method	Description
Complex<BigDecimal>	ComplexRootsAbstract.approximateRoot(Rectangle<C> rt, GenPolynomial<Complex<C>> f, BigRational eps)	Approximate complex root.
Complex<C>	ComplexRootsAbstract.complexMagnitude(Rectangle<C> rect, GenPolynomial<Complex<C>> f, GenPolynomial<Complex<C>> g, BigRational eps)	Complex algebraic number magnitude.
Complex<C>	ComplexRootsAbstract.complexRectangleMagnitude(Rectangle<C> rect, GenPolynomial<Complex<C>> f, GenPolynomial<Complex<C>> g)	Complex algebraic number magnitude.
Complex[]	ComplexRootsAbstract.copyOfComplex(Complex[] original, int newLength)	Copy the specified array.
Complex<BigDecimal>	ComplexAlgebraicNumber.decimalMagnitude()	ComplexAlgebraicNumber magnitude.
Complex<C>	Rectangle.getCenter()	Complex center.
Complex<BigDecimal>	Rectangle.getDecimalCenter()	Complex of BigDecimal approximation of center.
Complex<C>	Rectangle.getNE()	Get north east corner.
Complex<C>	Rectangle.getNW()	Get north west corner.
Complex<BigRational>	Rectangle.getRationalCenter()	Complex of BigRational approximation of center.
Complex<C>	Rectangle.getSE()	Get south east corner.
Complex<C>	Rectangle.getSW()	Get south west corner.
Complex<BigRational>	ComplexAlgebraicNumber.magnitude()	ComplexAlgebraicNumber magnitude.
Complex<C>	Rectangle.randomPoint()	Random point of recatangle.
Complex<C>	ComplexRoots.rootBound(GenPolynomial<Complex<C>> f)	Root bound.
Complex<C>	ComplexRootsAbstract.rootBound(GenPolynomial<Complex<C>> f)	Root bound.

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

Modifier and Type	Method	Description
List<Complex<BigDecimal>>	ComplexRootsAbstract.approximateRoots(GenPolynomial<Complex<C>> a, BigRational eps)	List of decimal approximations of complex roots of complex polynomial.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<Complex<C>>	PolyUtilRoot.complexFromAny(GenPolynomial<C> f)	Convert to Complex coefficients.
static <C extends GcdRingElem<C> & Rational> List<Complex<BigDecimal>>	RootFactory.filterOutRealRoots(GenPolynomial<C> f, List<Complex<BigDecimal>> c, List<BigDecimal> r, BigRational eps)	Filter real roots from complex roots.

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

Modifier and Type	Method	Description
boolean	Rectangle.contains(Complex<C> c)	Contains a point.
Complex[]	ComplexRootsAbstract.copyOfComplex(Complex[] original, int newLength)	Copy the specified array.
ComplexAlgebraicNumber<C>	CoeffToComplexFromComplex.eval(Complex<C> c)
Rectangle<C>	Rectangle.exchangeNE(Complex<C> c)	Exchange NE corner.
Rectangle<C>	Rectangle.exchangeNW(Complex<C> c)	Exchange NW corner.
Rectangle<C>	Rectangle.exchangeSE(Complex<C> c)	Exchange SE corner.
Rectangle<C>	Rectangle.exchangeSW(Complex<C> c)	Exchange SW corner.
static <C extends GcdRingElem<C> & Rational> boolean	RootFactory.isRealRoot(GenPolynomial<C> f, Complex<BigDecimal> c, BigDecimal r, BigRational eps)	Is complex decimal number a real root of a polynomial.
ComplexAlgebraicNumber<C>	ComplexAlgebraicNumber.multiply(Complex<C> c)	ComplexAlgebraicNumber multiplication.
ComplexAlgebraicNumber<C>	ComplexAlgebraicNumber.sum(Complex<C> c)	ComplexAlgebraicNumber summation.
String	ComplexRootsAbstract.toDecimal(Complex<C> a)	Get decimal approximation.

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

Modifier and Type	Method	Description
Complex<BigDecimal>	ComplexRootsAbstract.approximateRoot(Rectangle<C> rt, GenPolynomial<Complex<C>> f, BigRational eps)	Approximate complex root.
List<Complex<BigDecimal>>	ComplexRootsAbstract.approximateRoots(GenPolynomial<Complex<C>> a, BigRational eps)	List of decimal approximations of complex roots of complex polynomial.
int	ComplexAlgebraicNumber.compareTo(AlgebraicNumber<Complex<C>> b)	ComplexAlgebraicNumber comparison.
static <C extends GcdRingElem<C> & Rational> List<ComplexAlgebraicNumber<C>>	RootFactory.complexAlgebraicNumbersComplex(GenPolynomial<Complex<C>> f)	Complex algebraic numbers.
static <C extends GcdRingElem<C> & Rational> List<ComplexAlgebraicNumber<C>>	RootFactory.complexAlgebraicNumbersComplex(GenPolynomial<Complex<C>> f, BigRational eps)	Complex algebraic numbers.
Complex<C>	ComplexRootsAbstract.complexMagnitude(Rectangle<C> rect, GenPolynomial<Complex<C>> f, GenPolynomial<Complex<C>> g, BigRational eps)	Complex algebraic number magnitude.
Complex<C>	ComplexRootsAbstract.complexRectangleMagnitude(Rectangle<C> rect, GenPolynomial<Complex<C>> f, GenPolynomial<Complex<C>> g)	Complex algebraic number magnitude.
long	ComplexRoots.complexRootCount(Rectangle<C> rect, GenPolynomial<Complex<C>> a)	Complex root count of complex polynomial on rectangle.
abstract long	ComplexRootsAbstract.complexRootCount(Rectangle<C> rect, GenPolynomial<Complex<C>> a)	Complex root count of complex polynomial on rectangle.
long	ComplexRootsSturm.complexRootCount(Rectangle<C> rect, GenPolynomial<Complex<C>> a)	Complex root count of complex polynomial on rectangle.
Rectangle<C>	ComplexRoots.complexRootRefinement(Rectangle<C> rect, GenPolynomial<Complex<C>> a, BigRational len)	Complex root refinement of complex polynomial a on rectangle.
Rectangle<C>	ComplexRootsAbstract.complexRootRefinement(Rectangle<C> rect, GenPolynomial<Complex<C>> a, BigRational len)	Complex root refinement of complex polynomial a on rectangle.
List<Rectangle<C>>	ComplexRoots.complexRoots(GenPolynomial<Complex<C>> a)	List of complex roots of complex polynomial.
List<Rectangle<C>>	ComplexRoots.complexRoots(Rectangle<C> rect, GenPolynomial<Complex<C>> a)	List of complex roots of complex polynomial a on rectangle.
List<Rectangle<C>>	ComplexRootsAbstract.complexRoots(GenPolynomial<Complex<C>> a)	List of complex roots of complex polynomial.
List<Rectangle<C>>	ComplexRootsAbstract.complexRoots(GenPolynomial<Complex<C>> a, BigRational len)	List of complex roots of complex polynomial.
abstract List<Rectangle<C>>	ComplexRootsAbstract.complexRoots(Rectangle<C> rect, GenPolynomial<Complex<C>> a)	List of complex roots of complex polynomial a on rectangle.
List<Rectangle<C>>	ComplexRootsSturm.complexRoots(Rectangle<C> rect, GenPolynomial<Complex<C>> a)	List of complex roots of complex polynomial a on rectangle.
static <C extends GcdRingElem<C> & Rational> GenPolynomial<ComplexAlgebraicNumber<C>>	PolyUtilRoot.convertToComplexCoefficientsFromComplex(GenPolynomialRing<ComplexAlgebraicNumber<C>> pfac, GenPolynomial<Complex<C>> A)	Convert to ComplexAlgebraicNumber coefficients.
Rectangle<C>	ComplexRootsSturm.excludeZero(Rectangle<C> rect, GenPolynomial<Complex<C>> f)	Exclude zero.
static <C extends GcdRingElem<C> & Rational> List<Complex<BigDecimal>>	RootFactory.filterOutRealRoots(GenPolynomial<C> f, List<Complex<BigDecimal>> c, List<BigDecimal> r, BigRational eps)	Filter real roots from complex roots.
Rectangle<C>	ComplexRootsAbstract.invariantMagnitudeRectangle(Rectangle<C> rect, GenPolynomial<Complex<C>> f, GenPolynomial<Complex<C>> g, BigRational eps)	Invariant rectangle for algebraic number magnitude.
abstract Rectangle<C>	ComplexRootsAbstract.invariantRectangle(Rectangle<C> rect, GenPolynomial<Complex<C>> f, GenPolynomial<Complex<C>> g)	Invariant rectangle for algebraic number.
Rectangle<C>	ComplexRootsSturm.invariantRectangle(Rectangle<C> rect, GenPolynomial<Complex<C>> f, GenPolynomial<Complex<C>> g)	Invariant rectangle for algebraic number.
static <C extends GcdRingElem<C> & Rational> boolean	RootFactory.isRootComplex(GenPolynomial<Complex<C>> f, ComplexAlgebraicNumber<C> r)	Is complex algebraic number a root of a complex polynomial.
C	ComplexRootsAbstract.magnitudeBound(Rectangle<C> rect, GenPolynomial<Complex<C>> f)	Magnitude bound.
ComplexAlgebraicNumber<C>	ComplexAlgebraicNumber.multiply(GenPolynomial<Complex<C>> c)	ComplexAlgebraicNumber multiplication.
static <C extends RingElem<C> & Rational> Rectangle<C>	RootUtil.parseRectangle(RingFactory<Complex<C>> fac, String s)	Parse rectangle for a complex root from String.
Complex<C>	ComplexRoots.rootBound(GenPolynomial<Complex<C>> f)	Root bound.
Complex<C>	ComplexRootsAbstract.rootBound(GenPolynomial<Complex<C>> f)	Root bound.
ComplexAlgebraicNumber<C>	ComplexAlgebraicNumber.sum(AlgebraicNumber<Complex<C>> c)	ComplexAlgebraicNumber summation.
ComplexAlgebraicNumber<C>	ComplexAlgebraicNumber.sum(GenPolynomial<Complex<C>> c)	ComplexAlgebraicNumber summation.
long	ComplexRootsSturm.windingNumber(Rectangle<C> rect, GenPolynomial<Complex<C>> A)	Winding number of complex function A on rectangle.

Constructors in edu.jas.root with parameters of type Complex

Modifier	Constructor	Description
	Rectangle(Complex<C> mid)	Constructor.
(package private)	Rectangle(Complex<C>[] c)	Constructor.
	Rectangle(Complex<C> sw, Complex<C> ne)	Constructor.
	Rectangle(Complex<C> nw, Complex<C> sw, Complex<C> se, Complex<C> ne)	Constructor.

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

Modifier	Constructor	Description
	Boundary(Rectangle<C> r, GenPolynomial<Complex<C>> p)	Constructor.
protected	Boundary(Rectangle<C> r, GenPolynomial<Complex<C>> p, GenPolynomial<Complex<C>>[] b)	Constructor.
	ComplexAlgebraicNumber(ComplexAlgebraicRing<C> r, AlgebraicNumber<Complex<C>> a)	The constructor creates a ComplexAlgebraicNumber object from ComplexAlgebraicRing modul and a AlgebraicNumber value.
	ComplexAlgebraicNumber(ComplexAlgebraicRing<C> r, GenPolynomial<Complex<C>> a)	The constructor creates a ComplexAlgebraicNumber object from ComplexAlgebraicRing modul and a GenPolynomial value.
	ComplexAlgebraicRing(GenPolynomial<Complex<C>> m, Rectangle<C> root)	The constructor creates a ComplexAlgebraicNumber factory object from a GenPolynomial objects module.
	ComplexAlgebraicRing(GenPolynomial<Complex<C>> m, Rectangle<C> root, boolean isField)	The constructor creates a ComplexAlgebraicNumber factory object from a GenPolynomial objects module.
	ComplexRootsAbstract(RingFactory<Complex<C>> cf)	Constructor.
	ComplexRootsSturm(RingFactory<Complex<C>> cf)	Constructor.

Uses of Complex in edu.jas.ufd

Subclasses with type arguments of type Complex in edu.jas.ufd

Modifier and Type	Class	Description
class	FactorComplex<C extends GcdRingElem<C>>	Complex coefficients factorization algorithms.

Methods in edu.jas.ufd that return types with arguments of type Complex

Modifier and Type	Method	Description
List<GenPolynomial<Complex<C>>>	FactorComplex.baseFactorsSquarefree(GenPolynomial<Complex<C>> P)	GenPolynomial base factorization of a squarefree polynomial.
List<GenPolynomial<Complex<C>>>	FactorComplex.factorsSquarefree(GenPolynomial<Complex<C>> P)	GenPolynomial factorization of a squarefree polynomial.
static <C extends GcdRingElem<C>> FactorAbstract<Complex<C>>	FactorFactory.getImplementation(ComplexRing<C> fac)	Determine suitable implementation of factorization algorithms, case Complex<C>.

Method parameters in edu.jas.ufd with type arguments of type Complex

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

Constructor parameters in edu.jas.ufd with type arguments of type Complex

Modifier	Constructor	Description
	FactorComplex(RingFactory<Complex<C>> fac)	Constructor.