vmm.planecurve.parametric
Class Ellipse

java.lang.Object
  vmm.core.Exhibit
      vmm.planecurve.PlaneCurve
          vmm.planecurve.parametric.PlaneCurveParametric
              vmm.planecurve.parametric.ConicSection
                  vmm.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 vmm.planecurve.parametric.PlaneCurveParametric

PlaneCurveParametric.PlaneCurveParametricView

Field Summary

Fields inherited from class vmm.planecurve.parametric.PlaneCurveParametric

tmax, tmin, tResolution, tVals

Fields inherited from class vmm.planecurve.PlaneCurve

movingSquare, points, randomSquare

Fields inherited from class vmm.core.Exhibit

decorations, exhibitNeedsRedraw, isMorphing, morphingView, parameters, previousTransform

Constructor Summary

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

Method Summary

protected void	drawFociAndDirectrix(java.awt.Graphics2D g, View view, Transform limits, double t) This is overridden in the sub-classes to do the actual drawing of the extra decorations.
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 vmm.planecurve.parametric.ConicSection

getCreateAnimation, getMorphingAnimation

Methods inherited from class vmm.planecurve.parametric.PlaneCurveParametric

doDraw, getActionsForView, getDefaultView, getT, getTResolution, makePoints, myCircle

Methods inherited from class vmm.planecurve.PlaneCurve

computeDrawData, fillRandomSquare, getPoint, getPointCount, initializeMovingSquare, moveSquare

Methods inherited from class vmm.core.Exhibit

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

Methods inherited from class java.lang.Object

clone, equals, finalize, 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

drawFociAndDirectrix

protected void drawFociAndDirectrix(java.awt.Graphics2D g,
                                    View view,
                                    Transform limits,
                                    double t)

Description copied from class: ConicSection

This is overridden in the sub-classes to do the actual drawing of the extra decorations.

Specified by:

drawFociAndDirectrix in class ConicSection