/// <summary>
/// May very well be our delta-point of interest.
/// </summary>
/// <remarks>
/// This method is called by <see cref="Cubic.CubicTangent(Vertex,int)"/>
/// </remarks>
/// <param name="Cubed"></param>
/// <param name="Derivitive"></param>
/// <returns>
/// NULL if Cubed and Derivitive Points are equal.
/// </returns>
public static LineObj GetLine(Point Cubed, Point Derivitive)
{
if (Cubed.X.Equals(Derivitive.X) && Cubed.Y.Equals(Derivitive.Y))
return null;
if (Cubed.X.Equals(Derivitive.X)) return new LineObj { c = Cubed.X };
else
{
var p = Cubed - Derivitive;
var d = p.Y / p.X;
return new LineObj { a = d, b = Cubed.Y - (d * Cubed.X) };
}
}
public static Point GetPointOnSegment(this Point P0, Point P1, double ratio)
{
return P0 + (P1-P0 * ratio.n());
//turn P0.add(pExt.mult(P1.subtract(P0),pExt.n(ratio)));
}
public static double To(this Point a, Point b)
{
Point diff = a - b;
return Math.Pow(a.X-b.X, 2)+Math.Pow(a.Y-b.Y, 2);
}
public static Point GetMiddle(this Point P0, Point P1)
{
return (P0+P1) / 2;
}
