vmm.planecurve.parametric
Class Hyperbola

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

All Implemented Interfaces:

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

public class Hyperbola
extends ConicSection

A hyperbola given by parametric equations (a*cosh(t),b*sinh(t)). This gives only one branch of the hyperbola. The second, symmetrical branch is also drawn, but only the first branch is used for animations and decorations.

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

Hyperbola()
Create a hyperboal given by parametric equations (a*cosh(t),b*singh(t)), for t between -2.3 and 2.3.

Method Summary

void	doDraw(java.awt.Graphics2D g, View view, Transform limits) Draw the hyperbola.
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

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

Hyperbola

public Hyperbola()

Create a hyperboal given by parametric equations (a*cosh(t),b*singh(t)), for t between -2.3 and 2.3. The initial values of a and b are 1. a has animation start and end values both set to 1. b has animation start and end values of 1 and 1.5.

Method Detail

doDraw

public void doDraw(java.awt.Graphics2D g,
                   View view,
                   Transform limits)

Draw the hyperbola. This overrides the inherited version of this method to draw the second branch of the hyperbola as well as the first.

Overrides:

doDraw in class PlaneCurveParametric

Parameters:

g - The graphics context where the Exhibit is being drawn. It has already been cleared to the background color (assuming that drawing is being done in the usual way, as defined in the top-level View class).

view - The View that is drawing the Exhibit; this object contains other information that might be of use, such as the Display, if any, associated with the View.

limits - Contains information about the rectangular area in the xy-plane that is being drawn and about the rectangle of pixels in the graphics context where it is drawn. Note that at least for the top-level View class, transform.getX() and transform.getY() can be assumed to be zero.

See Also:

Exhibit.render(Graphics2D, View, Transform, ArrayList), Exhibit.computeDrawData(View, boolean, Transform, Transform)

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