Class SurfaceImplicit

    • Constructor Detail

      • SurfaceImplicit

        public SurfaceImplicit()
    • Method Detail

      • heightFunction

        public abstract double heightFunction(double x,                    double y,                    double z)
        The implicit surface is defined as solutions of heightFuncton(x,y,z) = level .
      • heightFunction

        public double heightFunction(Vector3D thePoint)
      • normalToSurfaceAt

        public Vector3D normalToSurfaceAt(Vector3D P)
        Given a point P in R^3 and letting level = heightFunction(P), this gets the unit normal vector to the surface heightFunction = level at the point P by normalizing the gradient of the heightFunction at P.
      • removeView

        public void removeView(View view)
        Overridden to shut down the task manager that is used for parallelization, when there are no more views of the exhibit.
        removeView in class Exhibit
        view - The view that is no longer displaying this exhibit.
      • MakeListOfRandomLines

        public void MakeListOfRandomLines()
      • theFunction

        public double theFunction(double t,                 SurfaceImplicit.Line3D theLine)
        This is the function whose vanishing gives a parameter value t such that a point of the line with that parameter value lies on the implicit surface. That is, if theFunction(t, theLine) = 0, then theLine.parametricEquation(t) is a point of the surface
      • quadraticSolve

        public void quadraticSolve(SurfaceImplicit.Line3D theLine,                  double[] theRoots)
        This calculates the real roots (if any) of theEquation when it is a quadratic polynomial and stores them in theRoots
      • FindNextRoot

        public double FindNextRoot(SurfaceImplicit.Line3D theLine,                  double leftEnd,                  double rightEnd,                  double tolerance)
        This finds an approximate root of theFunction, on the interval [leftEnd,rightEnd] assuming that the sign of theFunction is not the same at both ends. It uses an optimized verison of RegulaFalsi due to Hermann Karcher.
      • getDefaultView

        public View getDefaultView()
        Description copied from class: Exhibit3D
        Returns the default View of this Exhibit. In the Exhibit3D class, the return value is a basic View3D.
        getDefaultView in class Exhibit3D
      • getMorphingAnimation

        public BasicAnimator getMorphingAnimation(View view,                                 int looping)
        Description copied from class: Exhibit
        This method is meant to produce a "morph" animation for this Exhibit, by animating any applicable animateable parameters. The parameters can come from the Exhibit, from the View, and, in the case of a UserExhibit from the function parameters of the user exhibit. If there are no Animateable parameters, the return value is null. Otherwise, the return value is a BasicAnimator to which all of the Exhibit's Animateable parameters have been added. The number of frames in the animation returned by this method is the value of the "framesForMorphing" property. Subclasses might want to override this method to provide more complex morphing animations, but they should follow the same pattern. In particular, any parmeter values that are changed during the animation should be restored to their original values when the animation ends.
        getMorphingAnimation in class Exhibit
        view - The view that the animation will be shown in, if any. If the value is null, then the animation will not be associated with any particular view. In that case, the Morphing animation will animate the Exhibit in all Views in which it appears, since it operates by changing parameters of the exhibit. If the View is non-null, then only the specified View will receive changeEvents from the Exhibit while the morph is in progress.
        looping - This must be one of the values BasicAnimator.ONCE, BasicAnimator.LOOP, or BasicAnimator.OSCILLATE. The value is passed, without any error checking, to the animation's setLooping method.
        See Also:
        TimerAnimation.setLooping(int), Exhibit.setFramesForMorphing(int)

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