private static double incidenceLineCircle(CartesianCoordinate point1, CartesianCoordinate point2, double radius)
{
double determinant = point1.CrossProduct(point2);
double lineLength = AlgebraLibrary.SRSS((point2.X - point1.X), (point2.Y - point1.Y));
return(incidenceLineCircle(radius, lineLength, determinant));
}
/// <summary>
/// The y-coordinates of a line intersecting a circle centered at 0,0.
/// </summary>
/// <param name="point1">First point forming the line.</param>
/// <param name="point2">Second point forming the line.</param>
/// <param name="radius">Radius of the circle centered at 0,0.</param>
public static double[] CircleLineIntersectY(CartesianCoordinate point1, CartesianCoordinate point2, double radius)
{
CartesianOffset delta = new CartesianOffset(point1, point2);
double determinant = point1.CrossProduct(point2);
double lineLength = AlgebraLibrary.SRSS(delta.X(), delta.Y());
double incidence = incidenceLineCircle(radius, lineLength, determinant);
return(CircleLineIntersectY(radius, lineLength, incidence, determinant, delta));
}
