vmm.spacecurve.parametric
Class Viviani

java.lang.Object
  vmm.core.Exhibit
      vmm.core3D.Exhibit3D
          vmm.spacecurve.SpaceCurve
              vmm.spacecurve.parametric.SpaceCurveParametric
                  vmm.spacecurve.parametric.SphericalCurve
                      vmm.spacecurve.parametric.Viviani

All Implemented Interfaces:

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

public class Viviani
extends SphericalCurve

Defines the Viviani curve parametrically, the intersection of a sphere and a cylinder that touches the sphere.

Nested Class Summary

protected class

Viviani.DotCloudCylinder

Nested classes/interfaces inherited from class vmm.spacecurve.parametric.SphericalCurve

SphericalCurve.DotCloudSphere, SphericalCurve.SphericalCurveView

Nested classes/interfaces inherited from class vmm.spacecurve.parametric.SpaceCurveParametric

SpaceCurveParametric.SpaceCurveParametricView, SpaceCurveParametric.SpaceCurveParametricViewAsTube

Field Summary

protected Viviani.DotCloudCylinder

cloudCylinder

Fields inherited from class vmm.spacecurve.parametric.SphericalCurve

cloudSphere

Fields inherited from class vmm.spacecurve.parametric.SpaceCurveParametric

tmax, tmin, tResolution, tube, tubeSides, tubeSize, tVals

Fields inherited from class vmm.spacecurve.SpaceCurve

points

Fields inherited from class vmm.core3D.Exhibit3D

defaultViewpoint, defaultViewUp, previousTransform3D

Fields inherited from class vmm.core.Exhibit

decorations, exhibitNeedsRedraw, isMorphing, morphingView, parameters, previousTransform

Constructor Summary

Viviani()

Method Summary

protected Vector3D	deriv1(double t) Finds the derivative (x'(t),y'(t),z'(t)) at a given point on the curve.
protected Vector3D	deriv2(double t) Finds the second derivative (x''(t),y''(t),z''(t)) at a given point on the curve.
View	getDefaultView() Returns a View of type SphericalCurve.SphericalCurveView, which is a subclass of SpaceCurveParametric.SpaceCurveParametricView that defines some additional Actions.
protected Vector3D	value(double t) Returns a point (x(t), y(t), z(t)) on the curve, given a value of t.

Methods inherited from class vmm.spacecurve.parametric.SpaceCurveParametric

computeDrawData3D, doDraw3D, geographicCoordinates, getActionsForView, getAlternativeViews, getBuildAnimation, getCenterOfPoints, getCreateAnimation, getT, getTResolution, makePoints, makeRepereMobile

Methods inherited from class vmm.spacecurve.SpaceCurve

getPoint, getPointCount

Methods inherited from class vmm.core3D.Exhibit3D

computeDrawDataHook, doDrawHook, getDefaultTransform, getDefaultViewpoint, getDefaultViewUp, setDefaultViewpoint, setDefaultViewUp

Methods inherited from class vmm.core.Exhibit

addChangeListener, addDecoration, addExtraXML, addParameter, addView, clearDecorations, computeDrawData, doDraw, fireExhibitChangeEvent, forceRedraw, getAdditionalAnimationsForView, getDecorations, getDefaultBackground, getDefaultForeground, getDefaultWindow, getFramesForMorphing, getMorphingAnimation, 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

Field Detail

cloudCylinder

protected Viviani.DotCloudCylinder cloudCylinder

Constructor Detail

Viviani

public Viviani()

Method Detail

getDefaultView

public View getDefaultView()

Description copied from class: SphericalCurve

Returns a View of type SphericalCurve.SphericalCurveView, which is a subclass of SpaceCurveParametric.SpaceCurveParametricView that defines some additional Actions.

Overrides:

getDefaultView in class SphericalCurve

value

protected Vector3D value(double t)

Description copied from class: SpaceCurveParametric

Returns a point (x(t), y(t), z(t)) on the curve, given a value of t. The return value can be null, indicating a break in the curve. Subclasses must define this method to specify a particular curve.

Specified by:

value in class SpaceCurveParametric

deriv1

protected Vector3D deriv1(double t)

Description copied from class: SpaceCurveParametric

Finds the derivative (x'(t),y'(t),z'(t)) at a given point on the curve. This class defines the derivative using an approximation based on nearby points on the curve. While this is probably good enough, subclasses can override this if they want, to provide an exact formula for the derivative. The return value can be null if the curve or its derivative is undefined at the specified value of t.

Overrides:

deriv1 in class SpaceCurveParametric

deriv2

protected Vector3D deriv2(double t)

Description copied from class: SpaceCurveParametric

Finds the second derivative (x''(t),y''(t),z''(t)) at a given point on the curve. This class defines the second derivative using an approximation based on nearby points on the curve. While this is probably good enough, subclasses can override this if they want, to provide an exact formula for the derivative. The return value can be null if the curve or its second derivative is undefined at the specified value of t.

Overrides:

deriv2 in class SpaceCurveParametric