vmm.planecurve.parametric
Class UserPlaneCurveParametricKappa

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

All Implemented Interfaces:

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

public class UserPlaneCurveParametricKappa
extends PlaneCurveParametric
implements UserExhibit

A plane curve c(s) = (x(s),y(s)) is defined by its curvature function kappa(s). kappa(s) is to be entered by the user. The Frenet equation c''(s) = kappa(s)*normal(s) gives c'(s) = (cos(alpha(s)), sin(alpha(s)) ), where alpha'(s) = kappa(s). Therefore c(s) is obtained by a double integration. We use a precomputed antiderivative alphs of kappa, stored in helpArray. This reduces the double integration to a single one - and this is fast enough so that these Frenet curves behave as if they were given by an explicit parametrization. If tmin =< 0 =< tmax then alpha(0) = 0.

Nested Class Summary

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

PlaneCurveParametric.PlaneCurveParametricView

Nested classes/interfaces inherited from interface vmm.core.UserExhibit

UserExhibit.FunctionInfo, UserExhibit.Support

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

UserPlaneCurveParametricKappa()

Method Summary

UserExhibit.Support	getUserExhibitSupport() This method should return a non-null object that is created and customized in the constructor of the class that implements UserExhbit.
void	parameterChanged(Parameter param, java.lang.Object oldValue, java.lang.Object newValue) This method will be called automatically when a parameter that has been added to this Exhibit is changed.
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.PlaneCurveParametric

doDraw, getActionsForView, getCreateAnimation, 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, getMorphingAnimation, getName, getParameterByName, getParameters, getSettingsCommandsForView, getTitle, getUseFilmstripForMorphing, getViews, 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

Methods inherited from interface vmm.core.UserExhibit

getDefaultView, getDefaultWindow, getParameters, setDefaultWindow

Constructor Detail

UserPlaneCurveParametricKappa

public UserPlaneCurveParametricKappa()

Method Detail

parameterChanged

public void parameterChanged(Parameter param,
                             java.lang.Object oldValue,
                             java.lang.Object newValue)

Description copied from class: Exhibit

This method will be called automatically when a parameter that has been added to this Exhibit is changed. It should not ordinarily be called directly. Note that in fact, this method simply calls forceRedraw. This method is defined in the <@link Parameterizable} interface.

Specified by:

parameterChanged in interface Parameterizable

Overrides:

parameterChanged in class Exhibit

Parameters:

param - The Parmeter whose value has been set.

oldValue - The previous value of the parameter.

newValue - The new, current value of the parameter. This is not necessarily guaranteed to be different from the old value (although it is for parameters definedin the VMM core).

See Also:

Exhibit.forceRedraw()

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

getUserExhibitSupport

public UserExhibit.Support getUserExhibitSupport()

Description copied from interface: UserExhibit

This method should return a non-null object that is created and customized in the constructor of the class that implements UserExhbit.

Specified by:

getUserExhibitSupport in interface UserExhibit