vmm.spacecurve.parametric
Class GrannyKnot

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

All Implemented Interfaces:

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

public class GrannyKnot
extends SpaceCurveParametric

Nested Class Summary

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

SpaceCurveParametric.SpaceCurveParametricView, SpaceCurveParametric.SpaceCurveParametricViewAsTube

Field Summary

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

GrannyKnot()

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.
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, getDefaultView, 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

Constructor Detail

GrannyKnot

public GrannyKnot()

Method Detail

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