public static Point2d[] HyperbolaHyperbola(Hyperbola2d hyp1, Hyperbola2d hyp2)
{
Transform2d tr = hyp1.ToStandardPosition;
hyp2 = new Hyperbola2d(hyp2); //copy for modification
hyp2.Transform(tr);
Point2dSet res = StdHyperbolaConic(hyp1.Ratio, hyp2);
res.InverseTransform(tr);
return(res.ToArray());
}
public static Point2d[] ParabolaHyperbola(Parabola2d pab, Hyperbola2d hyp) //tested ok
{
Transform2d tr = pab.ToStandardPosition; //y=x^2
hyp = new Hyperbola2d(hyp); //copy for transformation
hyp.Transform(tr); //to standard space of parabola for stabillity
GeneralConic2d gencon = hyp.ToGeneralConic();
var ptset = StandardPosParabolaGeneralConic(gencon);
ptset.Transform(tr.Inversed);
return(ptset.ToArray());
}
public static Point2d[] HyperbolaEllipse(Hyperbola2d hyp, Ellipse2d elp)
{
//TODO: this is probably more stable intersecting hyperbola with unitcircle. Rewrite.
Transform2d tr = hyp.ToStandardPosition;
hyp = new Hyperbola2d(hyp);
elp = new Ellipse2d(elp);
hyp.Transform(tr);
elp.Transform(tr);
GeneralConic2d hcon = new GeneralConic2d(1, 0.0, -1 / (hyp.B * hyp.B), 0.0, 0.0, -1);
Point2dSet pset = new Point2dSet();
pset.AddRange(ConicConic(hcon, elp.ToGeneralConic()));
pset.Transform(tr.Inversed);
return(pset.ToArray());
}
