vmm.planecurve.parametric
Class Parabola

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

All Implemented Interfaces:

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

public class Parabola
extends ConicSection

A parabola with a focus on the x-axis. The parabola is defined by its focal length.

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

Parabola()
Construct a parabola with a focus initially at the point (0.75.0).

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.
ActionList	getActionsForView(View view) Returns a list of actions that are applicable to the exhibit.
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, 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

Parabola

public Parabola()

Construct a parabola with a focus initially at the point (0.75.0). The focal length is an animateable parameter with animation start and end values initially set to 0.5 and 1.5. The parabola is acutally computed using the parametric equations (t,t*t/(4*f)), where f is the focal length and t ranges from -8 to 8.

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

getActionsForView

public ActionList getActionsForView(View view)

Returns a list of actions that are applicable to the exhibit. To the actions set up by the superclass, this adds a "Drag Mouse to Show Normals" action that lets the user drag the mouse and draws all normal vectors of the parabola that pass through the mouse location.

Overrides:

getActionsForView in class PlaneCurveParametric

Parameters:

view - The view for which the actions should apply. If this is null, then no new actions are added to those inherited from the superclass.