Uses of Class
edu.jas.arith.BigDecimal

Packages that use BigDecimal

Package	Description
edu.jas.application	Groebner base application package.
edu.jas.arith	Basic arithmetic package.
edu.jas.poly	Generic coefficients polynomial package.
edu.jas.root	Real and Complex Root Computation package.

Uses of BigDecimal in edu.jas.application

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

Modifier and Type	Field	Description
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 List<List<BigDecimal>>	IdealWithRealAlgebraicRoots.droots	The list of decimal approximations of the real algebraic roots.
final List<List<BigDecimal>>	IdealWithRealRoots.rroots	The list of real roots.

Methods in edu.jas.application that return BigDecimal

Modifier and Type	Method	Description
BigDecimal	RealAlgebraicNumber.decimalMagnitude()	RealAlgebraicNumber decimal magnitude.

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

Modifier and Type	Method	Description
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).
List<List<Complex<BigDecimal>>>	IdealWithComplexAlgebraicRoots.decimalApproximation()	Get decimal approximation of the complex root tuples.
List<List<BigDecimal>>	IdealWithRealAlgebraicRoots.decimalApproximation()	Get decimal approximation of the real root tuples.
static <D extends GcdRingElem<D> & Rational> List<List<BigDecimal>>	PolyUtilApp.realRoots(Ideal<D> I, List<GenPolynomial<D>> univs, BigRational eps)	Construct superset of real roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<List<BigDecimal>>	PolyUtilApp.realRootTuples(Ideal<D> I, BigRational eps)	Construct superset of real roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<List<BigDecimal>>	PolyUtilApp.realRootTuples(List<IdealWithUniv<D>> Il, BigRational eps)	Construct superset of real roots for zero dimensional ideal(G).

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

Modifier and Type	Method	Description
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 boolean	PolyUtilApp.isRealRoots(List<GenPolynomial<BigDecimal>> L, List<List<BigDecimal>> roots, BigDecimal eps)	Test for real roots of zero dimensional ideal(L).

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

Modifier and Type	Method	Description
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 boolean	PolyUtilApp.isRealRoots(List<GenPolynomial<BigDecimal>> L, List<List<BigDecimal>> roots, BigDecimal eps)	Test for real roots of zero dimensional ideal(L).

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

Modifier	Constructor	Description
	IdealWithComplexRoots(IdealWithUniv<C> iu, List<List<Complex<BigDecimal>>> cr)	Constructor.
	IdealWithRealRoots(IdealWithUniv<C> iu, List<List<BigDecimal>> rr)	Constructor.

Uses of BigDecimal in edu.jas.arith

Classes in edu.jas.arith that implement interfaces with type arguments of type BigDecimal

Modifier and Type	Class	Description
final class	BigDecimal	BigDecimal class to make java.math.BigDecimal available with RingElem interface.
final class	BigDecimal	BigDecimal class to make java.math.BigDecimal available with RingElem interface.

Fields in edu.jas.arith declared as BigDecimal

Modifier and Type	Field	Description
final BigDecimal	BigDecimalComplex.im	Imaginary part of the data structure.
static final BigDecimal	BigDecimal.ONE	The constant 1.
final BigDecimal	BigDecimalComplex.re	Real part of the data structure.
static final BigDecimal	BigDecimal.ZERO	The constant 0.

Methods in edu.jas.arith that return BigDecimal

Modifier and Type	Method	Description
BigDecimal	BigDecimal.abs()	Absolute value of this.
static BigDecimal	BigDecimalComplex.CABS(BigDecimalComplex A)	Complex number absolute value.
BigDecimal	BigDecimal.copy()	Clone this.
BigDecimal	BigDecimal.copy(BigDecimal c)	Copy BigDecimal element c.
BigDecimal	BigDecimal.divide(BigDecimal S)	BigDecimal divide.
BigDecimal[]	BigDecimal.egcd(BigDecimal S)	BigDecimal extended greatest common divisor.
BigDecimal	BigDecimal.factory()	Get the corresponding element factory.
BigDecimal	BigDecimal.fromInteger(long a)	Get a BigDecimal element from long.
BigDecimal	BigDecimal.fromInteger(BigInteger a)	Get a BigDecimal element from a math.BigDecimal.
BigDecimal	BigDecimal.gcd(BigDecimal S)	BigDecimal greatest common divisor.
BigDecimal	BigDecimal.getDecimal()	Get the decimal representation.
BigDecimal	BigInteger.getDecimal()	Get the decimal representation.
BigDecimal	BigRational.getDecimal()	Get the decimal representation.
BigDecimal	BigDecimalComplex.getIm()	Get the imaginary part.
BigDecimal	BigDecimal.getONE()	Get the one element.
BigDecimal	BigDecimalComplex.getRe()	Get the real part.
BigDecimal	BigDecimal.getZERO()	Get the zero element.
BigDecimal	BigDecimal.inverse()	Integer inverse.
BigDecimal	BigDecimal.multiply(BigDecimal S)	BigDecimal multiply.
BigDecimal	BigDecimal.negate()
BigDecimal	BigDecimal.parse(Reader r)	BigDecimal parse from Reader.
BigDecimal	BigDecimal.parse(String s)	BigDecimal parse from String.
BigDecimal[]	BigDecimal.quotientRemainder(BigDecimal S)	BigDecimal compute quotient and remainder.
BigDecimal	BigDecimal.random(int n)	BigDecimal random.
BigDecimal	BigDecimal.random(int n, int e)	BigDecimal random.
BigDecimal	BigDecimal.random(int n, int e, Random rnd)	BigDecimal random.
BigDecimal	BigDecimal.random(int n, Random rnd)	BigDecimal random.
BigDecimal	BigDecimal.remainder(BigDecimal S)	BigDecimal remainder.
static BigDecimal	Roots.root(BigDecimal A, int n)	N-th root.
static BigDecimal	Roots.sqrt(BigDecimal A)	Square root.
BigDecimal	BigDecimal.subtract(BigDecimal S)	BigDecimal subtract.
BigDecimal	BigDecimal.sum(BigDecimal S)	BigDecimal summation.
static BigDecimal	BigDecimal.valueOf(long a)	Get a BigDecimal element from long.
static BigDecimal	BigDecimal.valueOf(BigDecimal a)	Get a BigDecimal element from a math.BigDecimal.

Methods in edu.jas.arith that return types with arguments of type BigDecimal

Modifier and Type	Method	Description
List<BigDecimal>	BigDecimal.generators()	Get a list of the generating elements.

Methods in edu.jas.arith with parameters of type BigDecimal

Modifier and Type	Method	Description
int	BigDecimal.compareTo(BigDecimal b)	Compare to BigDecimal b.
int	BigDecimal.compareToAbsolute(BigDecimal b)	Compare absolute to BigDecimal b.
int	BigDecimal.compareToRelative(BigDecimal b)	Compare to relative BigDecimal b.
BigDecimal	BigDecimal.copy(BigDecimal c)	Copy BigDecimal element c.
BigDecimal	BigDecimal.divide(BigDecimal S)	BigDecimal divide.
BigDecimal[]	BigDecimal.egcd(BigDecimal S)	BigDecimal extended greatest common divisor.
BigDecimal	BigDecimal.gcd(BigDecimal S)	BigDecimal greatest common divisor.
BigDecimal	BigDecimal.multiply(BigDecimal S)	BigDecimal multiply.
BigDecimal[]	BigDecimal.quotientRemainder(BigDecimal S)	BigDecimal compute quotient and remainder.
BigDecimal	BigDecimal.remainder(BigDecimal S)	BigDecimal remainder.
static BigDecimal	Roots.root(BigDecimal A, int n)	N-th root.
static BigDecimal	Roots.sqrt(BigDecimal A)	Square root.
BigDecimal	BigDecimal.subtract(BigDecimal S)	BigDecimal subtract.
BigDecimal	BigDecimal.sum(BigDecimal S)	BigDecimal summation.

Constructors in edu.jas.arith with parameters of type BigDecimal

Modifier	Constructor	Description
	BigDecimalComplex(BigDecimal r)	The constructor creates a BigDecimalComplex object from a BigDecimal object as real part, the imaginary part is set to 0.
	BigDecimalComplex(BigDecimal r, BigDecimal i)	The constructor creates a BigDecimalComplex object from two BigDecimal objects real and imaginary part.

Uses of BigDecimal in edu.jas.poly

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

Modifier and Type	Class	Description
(package private) class	CompRatToDec<C extends RingElem<C> & Rational>	Conversion of Complex Rational to Complex BigDecimal.
(package private) class	RatToDec<C extends Element<C> & Rational>	Conversion of Rational to BigDecimal.

Fields in edu.jas.poly with type parameters of type BigDecimal

Modifier and Type	Field	Description
(package private) ComplexRing<BigDecimal>	CompRatToDec.ring

Methods in edu.jas.poly that return BigDecimal

Modifier and Type	Method	Description
BigDecimal	RatToDec.eval(C c)

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

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 RingElem<C> & Rational> GenPolynomial<BigDecimal>	PolyUtil.decimalFromRational(GenPolynomialRing<BigDecimal> fac, GenPolynomial<C> A)	Convert to decimal coefficients.
Complex<BigDecimal>	CompRatToDec.eval(Complex<C> c)

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

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 RingElem<C> & Rational> GenPolynomial<BigDecimal>	PolyUtil.decimalFromRational(GenPolynomialRing<BigDecimal> fac, GenPolynomial<C> A)	Convert to decimal coefficients.

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

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

Uses of BigDecimal in edu.jas.root

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

Modifier and Type	Field	Description
final List<Complex<BigDecimal>>	DecimalRoots.complex	complex decimal roots.
final List<BigDecimal>	DecimalRoots.real	real decimal roots.

Methods in edu.jas.root that return BigDecimal

Modifier and Type	Method	Description
BigDecimal	RealRootsAbstract.approximateRoot(Interval<C> iv, GenPolynomial<C> f, BigRational eps)	Approximate real root.
BigDecimal	RealAlgebraicNumber.decimalMagnitude()	RealAlgebraicNumber magnitude.
BigDecimal	Interval.toDecimal()	BigDecimal representation of Interval.

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

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.
List<BigDecimal>	RealRootsAbstract.approximateRoots(GenPolynomial<C> f, BigRational eps)	Approximate real roots.
Complex<BigDecimal>	ComplexAlgebraicNumber.decimalMagnitude()	ComplexAlgebraicNumber magnitude.
List<BigDecimal>	RealRootTuple.decimalMagnitude()	Decimal approximation of each coordinate.
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.
Complex<BigDecimal>	Rectangle.getDecimalCenter()	Complex of BigDecimal approximation of center.

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

Modifier and Type	Method	Description
boolean	RealRootsAbstract.isApproximateRoot(BigDecimal x, GenPolynomial<C> f, C eps)	Test if x is an approximate real root.
boolean	RealRootsAbstract.isApproximateRoot(BigDecimal x, GenPolynomial<BigDecimal> f, GenPolynomial<BigDecimal> fp, BigDecimal eps)	Test if x is an approximate real root.
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.

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

Modifier and Type	Method	Description
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.
boolean	RealRootsAbstract.isApproximateRoot(BigDecimal x, GenPolynomial<BigDecimal> f, GenPolynomial<BigDecimal> fp, BigDecimal eps)	Test if x is an approximate real root.
boolean	RealRootsAbstract.isApproximateRoot(List<BigDecimal> R, GenPolynomial<C> f, BigRational eps)	Test if each x in R is an approximate real root.
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.

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

Modifier	Constructor	Description
	DecimalRoots(GenPolynomial<C> p, GenPolynomial<Complex<C>> cp, List<BigDecimal> r, List<Complex<BigDecimal>> c)	Constructor.