/// <summary>
/// The x-coordinates of a line intersecting a circle centered at 0,0.
/// </summary>
/// <param name="radius">>Radius of the circle centered at 0,0.</param>
/// <param name="lineLength"></param>
/// <param name="incidence"></param>
/// <param name="determinant"></param>
/// <param name="delta"></param>
/// <returns></returns>
public static double[] CircleLineIntersectX(
double radius,
double lineLength,
double incidence,
double determinant,
CartesianOffset delta)
{
return((determinant * delta.Y() / lineLength.Squared()).PlusMinus(
NMath.Sign(delta.Y()) * delta.X() * NMath.Sqrt(incidence) / lineLength.Squared()));
}
public static void Y_Returns_Y_Coordinates_Difference(double yI, double yJ, double yDifference)
{
CartesianOffset offset = new CartesianOffset(
new CartesianCoordinate(0, yI),
new CartesianCoordinate(0, yJ));
Assert.AreEqual(yDifference, offset.Y(), Tolerance);
}
/// <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));
}
/// <summary>
/// Initializes a new instance of the <see cref="IntersectionProperties"/> class.
/// </summary>
/// <param name="linearCurve">The linear curve.</param>
/// <param name="circularCurve">The circular curve.</param>
public IntersectionProperties(LinearCurve linearCurve, CircularCurve circularCurve)
{
Tolerance = Generics.GetTolerance(linearCurve, circularCurve);
Transformations = new Transformations(circularCurve.LocalOrigin, new CartesianCoordinate(circularCurve.LocalOrigin.X + 1, circularCurve.LocalOrigin.Y));
LinearCurve linearCurveLocal = transformToLocal(linearCurve);
D = Numbers.ValueAsZeroIfWithinAbsoluteTolerance(linearCurveLocal.ControlPointI.CrossProduct(linearCurveLocal.ControlPointJ), Tolerance);
CartesianOffset offset = linearCurveLocal.Range.End.Limit.OffsetFrom(linearCurveLocal.Range.Start.Limit);
dx = offset.X();
dy = offset.Y();
dr = AlgebraLibrary.SRSS(dx, dy);
IncidenceDelta = Numbers.ValueAsZeroIfWithinAbsoluteTolerance((circularCurve.Radius * dr).Squared() - D.Squared(), Tolerance);
}