/// <summary>
/// Initializes a new instance of the <see cref="EllipticalCurve" /> class.
/// </summary>
/// <param name="a">Distance, a, from local origin to major vertex, M, which lies at the apex of the curve.</param>
/// <param name="b">Distance, b, from local origin to minor vertex, M, which defines the asymptote that passes through the center.</param>
/// <param name="center">The center.</param>
/// <param name="rotation">The rotation offset from the horizontal x-axis.</param>
/// <param name="tolerance">Tolerance to apply to the curve.</param>
public HyperbolicCurve(
double a,
double b,
CartesianCoordinate center,
Angle rotation,
double tolerance = DEFAULT_TOLERANCE)
: base(
center.OffsetCoordinate(a, rotation),
distanceFromFocusToOrigin(a, b) - a,
a,
rotation,
tolerance)
{
_focus = center.OffsetCoordinate(DistanceFromFocusToLocalOrigin, rotation);
_focus.Tolerance = tolerance;
}
/// <summary>
/// Gets the directrix vertices.
/// </summary>
/// <returns>Tuple<CartesianCoordinate, CartesianCoordinate>.</returns>
protected override Tuple <CartesianCoordinate, CartesianCoordinate> getVerticesDirectrix()
{
Angle rotation = new Angle(_rotation.Radians + Numbers.PiOver2);
if (DistanceFromFocusToDirectrix == double.PositiveInfinity || DistanceFromFocusToDirectrix == double.NegativeInfinity)
{
return(new Tuple <CartesianCoordinate, CartesianCoordinate>(
new CartesianCoordinate(DistanceFromFocusToDirectrix, 0),
new CartesianCoordinate(DistanceFromFocusToDirectrix, 1)));
}
CartesianCoordinate directrixIntercept = _focus.OffsetCoordinate(DistanceFromFocusToDirectrix, _rotation);
return(new Tuple <CartesianCoordinate, CartesianCoordinate>(
directrixIntercept,
directrixIntercept.OffsetCoordinate(1, rotation)));
}
