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

Fields in edu.jas.application declared as Complex

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

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

Modifier and Type	Field	Description
java.util.List<java.util.List<Complex<RealAlgebraicNumber<D>>>>	IdealWithComplexAlgebraicRoots.can	The list of complex algebraic roots.
java.util.List<java.util.List<Complex<BigDecimal>>>	IdealWithComplexRoots.croots	The list of complex roots.
protected java.util.List<java.util.List<Complex<BigDecimal>>>	IdealWithComplexAlgebraicRoots.droots	The list of decimal approximations of the complex algebraic roots.
protected 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> java.util.List<Complex<RealAlgebraicNumber<C>>>	RootFactoryApp.complexAlgebraicNumbersComplex(GenPolynomial<Complex<C>> f)	Complex algebraic number roots.
static <C extends GcdRingElem<C> & Rational> java.util.List<Complex<RealAlgebraicNumber<C>>>	RootFactoryApp.complexAlgebraicNumbersSquarefree(GenPolynomial<Complex<C>> f)	Complex algebraic number roots.
static <D extends GcdRingElem<D> & Rational> java.util.List<java.util.List<Complex<BigDecimal>>>	PolyUtilApp.complexRoots(Ideal<D> I, java.util.List<GenPolynomial<D>> univs, BigRational eps)	Construct superset of complex roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> java.util.List<java.util.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> java.util.List<java.util.List<Complex<BigDecimal>>>	PolyUtilApp.complexRootTuples(java.util.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.
java.util.List<java.util.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> java.lang.String	PolyUtilApp.toString(Complex<RealAlgebraicNumber<D>> c)	String representation of a deximal approximation of a complex number.
static <D extends GcdRingElem<D> & Rational> java.lang.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> java.util.List<Complex<RealAlgebraicNumber<C>>>	RootFactoryApp.complexAlgebraicNumbersComplex(GenPolynomial<Complex<C>> f)	Complex algebraic number roots.
static <C extends GcdRingElem<C> & Rational> java.util.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(java.util.List<GenPolynomial<Complex<BigDecimal>>> L, java.util.List<java.util.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, java.util.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, java.util.List<Complex<RealAlgebraicNumber<C>>> R)	Is complex algebraic number a root of a polynomial.

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

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

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

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

Uses of Complex in edu.jas.poly

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(java.math.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(java.io.Reader r)	Parse complex number from Reader.
Complex<C>	ComplexRing.parse(java.lang.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, java.util.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.
java.util.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

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

Uses of Complex in edu.jas.root

Fields in edu.jas.root declared as Complex

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

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

Modifier and Type	Field	Description
GenPolynomial<Complex<C>>	Boundary.A	Polynomial.
AlgebraicNumberRing<Complex<C>>	ComplexAlgebraicRing.algebraic	Representing AlgebraicNumberRing.
java.util.List<Complex<BigDecimal>>	DecimalRoots.complex	complex decimal roots.
GenPolynomial<Complex<C>>	AlgebraicRoots.cp	Univariate polynomial with complex coefficients equivalent to p.
GenPolynomial<Complex<C>>	DecimalRoots.cp	univariate polynomial with complex coefficients.
Squarefree<Complex<C>>	ComplexRootsAbstract.engine	Engine for square free decomposition.
AlgebraicNumber<Complex<C>>	ComplexAlgebraicNumber.number	Representing AlgebraicNumber.
protected AlgebraicNumber<Complex<C>>	CoeffToComplex.zero
protected 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
java.util.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> java.util.List<Complex<BigDecimal>>	RootFactory.filterOutRealRoots(GenPolynomial<C> f, java.util.List<Complex<BigDecimal>> c, java.util.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.
java.lang.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.
java.util.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> java.util.List<ComplexAlgebraicNumber<C>>	RootFactory.complexAlgebraicNumbersComplex(GenPolynomial<Complex<C>> f)	Complex algebraic numbers.
static <C extends GcdRingElem<C> & Rational> java.util.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.
java.util.List<Rectangle<C>>	ComplexRoots.complexRoots(GenPolynomial<Complex<C>> a)	List of complex roots of complex polynomial.
java.util.List<Rectangle<C>>	ComplexRoots.complexRoots(Rectangle<C> rect, GenPolynomial<Complex<C>> a)	List of complex roots of complex polynomial a on rectangle.
java.util.List<Rectangle<C>>	ComplexRootsAbstract.complexRoots(GenPolynomial<Complex<C>> a)	List of complex roots of complex polynomial.
java.util.List<Rectangle<C>>	ComplexRootsAbstract.complexRoots(GenPolynomial<Complex<C>> a, BigRational len)	List of complex roots of complex polynomial.
abstract java.util.List<Rectangle<C>>	ComplexRootsAbstract.complexRoots(Rectangle<C> rect, GenPolynomial<Complex<C>> a)	List of complex roots of complex polynomial a on rectangle.
java.util.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> java.util.List<Complex<BigDecimal>>	RootFactory.filterOutRealRoots(GenPolynomial<C> f, java.util.List<Complex<BigDecimal>> c, java.util.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, java.lang.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

Constructor	Description
Rectangle(Complex<C> mid)	Constructor.
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

Constructor	Description
Boundary(Rectangle<C> r, GenPolynomial<Complex<C>> p)	Constructor.
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

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

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

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