PolyUtilRoot

java.lang.Object
- edu.jas.root.PolyUtilRoot

```
public class PolyUtilRoot
extends java.lang.Object
```
Polynomial utilities related to real and complex roots.

Author:

Heinz Kredel

Constructor Summary

Constructors
Constructor and Description

PolyUtilRoot()

Constructors
Constructor and Description
`PolyUtilRoot()`

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method and Description
`static <C extends GcdRingElem<C> & Rational> GenPolynomial<AlgebraicNumber<C>>`	`algebraicFromRealCoefficients(GenPolynomialRing<AlgebraicNumber<C>> afac, GenPolynomial<RealAlgebraicNumber<C>> A)` Convert to AlgebraicNumber coefficients.
`static <C extends GcdRingElem<C> & Rational> GenPolynomial<Complex<C>>`	`complexFromAny(GenPolynomial<C> f)` Convert to Complex coefficients.
`static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>`	`convertRecursiveToAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<GenPolynomial<C>> A)` Convert to RealAlgebraicNumber coefficients.
`static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>`	`convertToAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<C> A)` Convert to RealAlgebraicNumber coefficients.
`static <C extends GcdRingElem<C> & Rational> GenPolynomial<ComplexAlgebraicNumber<C>>`	`convertToComplexCoefficients(GenPolynomialRing<ComplexAlgebraicNumber<C>> pfac, GenPolynomial<C> A)` Convert to ComplexAlgebraicNumber coefficients.
`static <C extends GcdRingElem<C> & Rational> GenPolynomial<ComplexAlgebraicNumber<C>>`	`convertToComplexCoefficientsFromComplex(GenPolynomialRing<ComplexAlgebraicNumber<C>> pfac, GenPolynomial<Complex<C>> A)` Convert to ComplexAlgebraicNumber coefficients.
`static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>`	`convertToRealCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<C> A)` Convert to RealAlgebraicNumber coefficients.
`static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>`	`convertToRecAlgebraicCoefficients(int depth, GenPolynomialRing<RealAlgebraicNumber<C>> pfac, GenPolynomial<C> A)` Convert to recursive RealAlgebraicNumber coefficients.
`static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>>`	`realFromAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> rfac, GenPolynomial<AlgebraicNumber<C>> A)` Convert to RealAlgebraicNumber coefficients.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail
- PolyUtilRoot
```
public PolyUtilRoot()
```

Method Detail

convertToAlgebraicCoefficients

public static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>> convertToAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac,
                                                                                                                         GenPolynomial<C> A)

Convert to RealAlgebraicNumber coefficients. Represent as polynomial with RealAlgebraicNumber coefficients, C is e.g. ModInteger or BigRational.

Parameters:: pfac - result polynomial factory.; A - polynomial with C coefficients to be converted.
Returns:: polynomial with RealAlgebraicNumber<C> coefficients.

convertToRecAlgebraicCoefficients

public static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>> convertToRecAlgebraicCoefficients(int depth,
                                                                                                                            GenPolynomialRing<RealAlgebraicNumber<C>> pfac,
                                                                                                                            GenPolynomial<C> A)

Convert to recursive RealAlgebraicNumber coefficients. Represent as polynomial with recursive RealAlgebraicNumber coefficients, C is e.g. ModInteger or BigRational.

Parameters:: depth - recursion depth of RealAlgebraicNumber coefficients.; pfac - result polynomial factory.; A - polynomial with C coefficients to be converted.
Returns:: polynomial with RealAlgebraicNumber<C> coefficients.

convertRecursiveToAlgebraicCoefficients

public static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>> convertRecursiveToAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac,
                                                                                                                                  GenPolynomial<GenPolynomial<C>> A)

Convert to RealAlgebraicNumber coefficients. Represent as polynomial with RealAlgebraicNumber coefficients, C is e.g. ModInteger or BigRational.

Parameters:: pfac - result polynomial factory.; A - recursive polynomial with GenPolynomial<BigInteger> coefficients to be converted.
Returns:: polynomial with RealAlgebraicNumber<C> coefficients.

algebraicFromRealCoefficients

public static <C extends GcdRingElem<C> & Rational> GenPolynomial<AlgebraicNumber<C>> algebraicFromRealCoefficients(GenPolynomialRing<AlgebraicNumber<C>> afac,
                                                                                                                    GenPolynomial<RealAlgebraicNumber<C>> A)

Convert to AlgebraicNumber coefficients. Represent as polynomial with AlgebraicNumber coefficients.

Parameters:: afac - result polynomial factory.; A - polynomial with RealAlgebraicNumber<C> coefficients to be converted.
Returns:: polynomial with AlgebraicNumber<C> coefficients.

realFromAlgebraicCoefficients

public static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>> realFromAlgebraicCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> rfac,
                                                                                                                        GenPolynomial<AlgebraicNumber<C>> A)

Convert to RealAlgebraicNumber coefficients. Represent as polynomial with RealAlgebraicNumber coefficients.

Parameters:: rfac - result polynomial factory.; A - polynomial with AlgebraicNumber<C> coefficients to be converted.
Returns:: polynomial with RealAlgebraicNumber<C> coefficients.

convertToRealCoefficients

public static <C extends GcdRingElem<C> & Rational> GenPolynomial<RealAlgebraicNumber<C>> convertToRealCoefficients(GenPolynomialRing<RealAlgebraicNumber<C>> pfac,
                                                                                                                    GenPolynomial<C> A)

Convert to RealAlgebraicNumber coefficients. Represent as polynomial with RealAlgebraicNumber coefficients, C is e.g. BigRational.

Parameters:: pfac - result polynomial factory.; A - polynomial with C coefficients to be converted.
Returns:: polynomial with RealAlgebraicNumber<C> coefficients.

convertToComplexCoefficients

public static <C extends GcdRingElem<C> & Rational> GenPolynomial<ComplexAlgebraicNumber<C>> convertToComplexCoefficients(GenPolynomialRing<ComplexAlgebraicNumber<C>> pfac,
                                                                                                                          GenPolynomial<C> A)

Convert to ComplexAlgebraicNumber coefficients. Represent as polynomial with ComplexAlgebraicNumber coefficients, C is e.g. BigRational.

Parameters:: pfac - result polynomial factory.; A - polynomial with C coefficients to be converted.
Returns:: polynomial with ComplexAlgebraicNumber<C> coefficients.

convertToComplexCoefficientsFromComplex

public static <C extends GcdRingElem<C> & Rational> GenPolynomial<ComplexAlgebraicNumber<C>> convertToComplexCoefficientsFromComplex(GenPolynomialRing<ComplexAlgebraicNumber<C>> pfac,
                                                                                                                                     GenPolynomial<Complex<C>> A)