Package com.singularsys.extexamples.applets

Class Bern2D

java.lang.Object

com.singularsys.extexamples.applets.Bern2D

Direct Known Subclasses:

Bern2D.NegBern2D, Bern2D.PosBern2D, Bern2D.ZeroBern2D

public class Bern2D
extends Object

Two dimension Bernstein polynomial for implicit plotter app.

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static class	Bern2D.DerivBits	sign bits for derivatives
static class	Bern2D.NegBern2D	An always negative polynomial
static class	Bern2D.PosBern2D	An always positive polynomial
static class	Bern2D.QuadBern	Four Bernstein polynomials
static class	Bern2D.Tower	Derivatives of a polynomial
static class	Bern2D.ZeroBern2D	An always zero polynomial

Field Summary

Fields

Modifier and Type	Field	Description
final double[][]	coeffs
static final Bern2D.NegBern2D	negBern2D
static final Bern2D.QuadBern	negQuad
static final Bern2D.PosBern2D	posBern2D
static final Bern2D.QuadBern	posQuad
final int	xord
final int	yord
static final Bern2D.ZeroBern2D	zeroBern2D

Constructor Summary

Constructors

Constructor	Description
Bern2D(int xord, int yord)

Method Summary

Modifier and Type	Method	Description
final void	addCoeff(int i, int j, double val)
short	allOneSign()	Test if all coefficient are strictly the same sign.
Bern2D	diffX()
Bern2D	diffY()
final double	ele2D(int i, int j)
double	evalbern2D(double[] vec)
static Bern2D	fromPolyCoeffs(double[][] aa, Range2D range)	Note the order of x,y is reversed here.
Bern2D.QuadBern	reduce()
final void	setCoeff(int i, int j, double coeff)
static Bern2D	symmetricDet2D(Bern2D a, Bern2D b, Bern2D c)
String	toString()

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Details

xord

public final int xord

yord

public final int yord

coeffs

public final double[][] coeffs

posBern2D

public static final Bern2D.PosBern2D posBern2D

negBern2D

public static final Bern2D.NegBern2D negBern2D

zeroBern2D

public static final Bern2D.ZeroBern2D zeroBern2D

negQuad

public static final Bern2D.QuadBern negQuad

posQuad

public static final Bern2D.QuadBern posQuad

Constructor Details

Bern2D

public Bern2D(int xord,
 int yord)

Method Details

setCoeff

public final void setCoeff(int i,
 int j,
 double coeff)

addCoeff

public final void addCoeff(int i,
 int j,
 double val)

ele2D

public final double ele2D(int i,
 int j)

allOneSign

public short allOneSign()

Test if all coefficient are strictly the same sign.

Returns:

tree if all positive or all negative false otherwise

diffX

public Bern2D diffX()
             throws JepException

Throws:

JepException

diffY

public Bern2D diffY()
             throws JepException

Throws:

JepException

reduce

public Bern2D.QuadBern reduce()
                       throws JepException

Throws:

JepException

fromPolyCoeffs

public static Bern2D fromPolyCoeffs(double[][] aa,
 Range2D range)

Note the order of x,y is reversed here.

Parameters:

aa -

range -

Returns:

toString

public String toString()

Overrides:

toString in class Object

symmetricDet2D

public static Bern2D symmetricDet2D(Bern2D a,
 Bern2D b,
 Bern2D c)

evalbern2D

public double evalbern2D(double[] vec)