vmm3d.planecurve.parametric

Class Ellipse

java.lang.Object

vmm3d.core.Exhibit

vmm3d.planecurve.PlaneCurve

vmm3d.planecurve.parametric.PlaneCurveParametric

vmm3d.planecurve.parametric.ConicSection

vmm3d.planecurve.parametric.Ellipse

All Implemented Interfaces:

java.util.EventListener, javax.swing.event.ChangeListener, Decorateable, Parameterizable

public class Ellipse
extends ConicSection

An ellipse, represented as a parametric plane curve. The ellipse is given by the parametric equations (a*cos(t),b*sin(t)), where a and b are the semi-axes of the ellipse, for t between 0 and 2*pi.

Nested Class Summary

Nested classes/interfaces inherited from class vmm3d.planecurve.parametric.PlaneCurveParametric

PlaneCurveParametric.PlaneCurveParametricView

Constructor Summary

Constructors

Constructor and Description
Ellipse() Construct an Ellipse that is centered at the origin and initially has vertical "radius" 2 and horizontal "radius" 3.

Method Summary

Modifier and Type	Method and Description
double	x2ndDerivativeValue(double t) Computes x''(t) for a given value of t.
double	xDerivativeValue(double t) Computes x'(t) for a given value of t.
double	xValue(double t) Computes x(t) for a given value of t.
double	y2ndDerivativeValue(double t) Computes y''(t) for a given value of t.
double	yDerivativeValue(double t) Computes y'(t) for a given value of t.
double	yValue(double t) Computes y(t) for a given value of t.

Methods inherited from class vmm3d.planecurve.parametric.ConicSection

getCreateAnimation, getMorphingAnimation

Methods inherited from class vmm3d.planecurve.parametric.PlaneCurveParametric

doDraw, getActionsForView, getDefaultView, getT, getTResolution, myCircle

Methods inherited from class vmm3d.planecurve.PlaneCurve

fillRandomSquare, getPoint, getPointCount, initializeMovingSquare

Methods inherited from class vmm3d.core.Exhibit

addChangeListener, addDecoration, addExtraXML, addView, clearDecorations, forceRedraw, getAdditionalAnimationsForView, getAlternativeViews, getBuildAnimation, getDecorations, getDefaultBackground, getDefaultForeground, getDefaultTransform, getDefaultWindow, getFramesForMorphing, getName, getParameterByName, getParameters, getSettingsCommandsForView, getTitle, getUseFilmstripForMorphing, getViews, parameterChanged, readExtraXML, removeChangeListener, removeDecoration, removeView, render, setDefaultBackground, setDefaultForeground, setDefaultWindow, setDefaultWindow, setFramesForMorphing, setName, setUseFilmstripForMorphing, stateChanged

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Ellipse

public Ellipse()

Construct an Ellipse that is centered at the origin and initially has vertical "radius" 2 and horizontal "radius" 3. The radii are animateable parameters of the exhibit. The default animation start and end values are 1 and 3 for the vertical radius and 5 and 1 for the horizontal radius.

Method Detail

xValue

public double xValue(double t)

Description copied from class: PlaneCurveParametric

Computes x(t) for a given value of t.

Specified by:

xValue in class PlaneCurveParametric

yValue

public double yValue(double t)

Description copied from class: PlaneCurveParametric

Computes y(t) for a given value of t.

Specified by:

yValue in class PlaneCurveParametric

xDerivativeValue

public double xDerivativeValue(double t)

Description copied from class: PlaneCurveParametric

Computes x'(t) for a given value of t. The default version defined in this class computes an approximate value numerically, using values of the function itself at points near t.

Overrides:

xDerivativeValue in class PlaneCurveParametric

yDerivativeValue

public double yDerivativeValue(double t)

Description copied from class: PlaneCurveParametric

Computes y'(t) for a given value of t. The default version defined in this class computes an approximate value numerically, using values of the function itself at points near t.

Overrides:

yDerivativeValue in class PlaneCurveParametric

x2ndDerivativeValue

public double x2ndDerivativeValue(double t)

Description copied from class: PlaneCurveParametric

Computes x''(t) for a given value of t. The default version defined in this class computes an approximate value numerically, using values of the function itself at points near t.

Overrides:

x2ndDerivativeValue in class PlaneCurveParametric

y2ndDerivativeValue

public double y2ndDerivativeValue(double t)

Description copied from class: PlaneCurveParametric

Computes y''(t) for a given value of t. The default version defined in this class computes an approximate value numerically, using values of the function itself at points near t.

Overrides:

y2ndDerivativeValue in class PlaneCurveParametric