Package edu.jas.root

Class Boundary<C extends RingElem<C> & Rational>

java.lang.Object

edu.jas.root.Boundary<C>

Type Parameters:

C - coefficient type.

All Implemented Interfaces:

Serializable

public class Boundary<C extends RingElem<C> & Rational>
extends Object
implements Serializable

Boundary determined by a rectangle and a polynomial. For a given complex polynomial A a closed path through the corners of the given rectangle is constructed. The path is represented by four polynomials, one for each side of the rectangle. For a real t in [0,1] the i-th polynomial describes the path of A from corner[i] to corner[i+1]. In particular polys[i](0) = A(corner[i]) and polys[i](1) = A(corner[i+1]), with corner[4] = corner[0]. If A would be zero on a point of the path, an InvalidBoundaryException is thrown.

See Also:

• Serialized Form

Field Summary

Fields

Modifier and Type	Field	Description
final GenPolynomial<Complex<C>>	A	Polynomial.
final GenPolynomial<Complex<C>>[]	polys	Boundary polynomials.
final Rectangle<C>	rect	Rectangle.
(package private) GenPolynomialRing<C>	rfac	Factory for real polynomials.

Constructor Summary

Constructors

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.

Method Summary

Modifier and Type	Method	Description
Boundary<C>	copy()	Copy this.
boolean	equals(Object b)	Comparison with any other object.
GenPolynomial<C>	getImagPart(int i)	Get imaginary part for polynomial i.
GenPolynomial<C>	getRealPart(int i)	Get real part for polynomial i.
int	hashCode()	Hash code for this Rectangle.
String	toScript()	Get a scripting compatible string representation.
String	toString()	String representation of Boundary.

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Field Details

rect

public final Rectangle<C extends RingElem<C> & Rational> rect

Rectangle.

A

public final GenPolynomial<Complex<C extends RingElem<C> & Rational>> A

Polynomial.

polys

public final GenPolynomial<Complex<C extends RingElem<C> & Rational>>[] polys

Boundary polynomials.

rfac

GenPolynomialRing<C extends RingElem<C> & Rational> rfac

Factory for real polynomials.

Constructor Details

Boundary

public Boundary(Rectangle<C> r,
 GenPolynomial<Complex<C>> p)
         throws InvalidBoundaryException

Constructor.

Parameters:

r - rectangle of of corners.

p - non constant polynomial.

Throws:

InvalidBoundaryException

Boundary

protected Boundary(Rectangle<C> r,
 GenPolynomial<Complex<C>> p,
 GenPolynomial<Complex<C>>[] b)

Constructor.

Parameters:

r - rectangle of of corners.

p - polynomial.

b - boundary polynomials.

Method Details

toString

public String toString()

String representation of Boundary.

Overrides:

toString in class Object

See Also:

• Object.toString()

toScript

public String toScript()

Get a scripting compatible string representation.

Returns:

script compatible representation for this Boundary.

getRealPart

public GenPolynomial<C> getRealPart(int i)

Get real part for polynomial i.

Parameters:

i - index of polynomial.

Returns:

real part for polynomial i.

getImagPart

public GenPolynomial<C> getImagPart(int i)

Get imaginary part for polynomial i.

Parameters:

i - index of polynomial.

Returns:

imaginary part for polynomial i.

copy

public Boundary<C> copy()

Copy this.

Returns:

a copy of this.

equals

public boolean equals(Object b)

Comparison with any other object.

Overrides:

equals in class Object

See Also:

• Object.equals(java.lang.Object)

hashCode

public int hashCode()

Hash code for this Rectangle.

Overrides:

hashCode in class Object

See Also:

• Object.hashCode()