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:

java.io.Serializable

public class Boundary<C extends RingElem<C> & Rational>
extends java.lang.Object
implements java.io.Serializable

Boundary determined by a rectangle and a polynomial. For a given complex polynomial A a closed path throught 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.

Author:

Heinz Kredel

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
GenPolynomial<Complex<C>>	A Polynomial.
GenPolynomial<Complex<C>>[]	polys Boundary polynomials.
Rectangle<C>	rect Rectangle.

Constructor Summary

Constructors

Modifier	Constructor and 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 and Description
Boundary<C>	copy() Copy this.
boolean	equals(java.lang.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.
java.lang.String	toScript() Get a scripting compatible string representation.
java.lang.String	toString() String representation of Boundary.

Methods inherited from class java.lang.Object

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

Field Detail

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.

Constructor Detail

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 Detail

toString

public java.lang.String toString()

String representation of Boundary.

Overrides:

toString in class java.lang.Object

See Also:

Object.toString()

toScript

public java.lang.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(java.lang.Object b)

Comparison with any other object.

Overrides:

equals in class java.lang.Object

See Also:

Object.equals(java.lang.Object)

hashCode

public int hashCode()

Hash code for this Rectangle.

Overrides:

hashCode in class java.lang.Object

See Also:

Object.hashCode()