public static void ArcTan(double ratio, double expectedResult)
{
Assert.AreEqual(expectedResult, TrigonometryLibrary.ArcTan(ratio), Tolerance);
}
public static void Tan(double degrees, double expectedResult)
{
double radians = Angle.DegreesToRadians(degrees);
Assert.AreEqual(expectedResult, TrigonometryLibrary.Tan(radians), Tolerance);
}
/// <summary>
/// Y-coordinate on the curve in local coordinates about the local origin that corresponds to the parametric coordinate given.
/// </summary>
/// <param name="angleRadians">Parametric coordinate in radians.</param>
/// <returns></returns>
public override double YbyRotationAboutOrigin(double angleRadians)
{
return(DistanceFromVertexMinorToMajorAxis * TrigonometryLibrary.Sin(angleRadians));
}
/// <summary>
/// X-coordinate on the curve in local coordinates about the left (-X) focus that corresponds to the parametric coordinate given.
/// </summary>
/// <param name="angleRadians">Angle of rotation about the left (-X) focus, in radians.</param>
/// <returns></returns>
public override double XbyRotationAboutFocusLeft(double angleRadians)
{
return(-1 * DistanceFromFocusToLocalOrigin + RadiusAboutFocusLeft(angleRadians) * TrigonometryLibrary.Cos(angleRadians));
}
/// <summary>
/// Slope of the curve in local coordinates about the local origin that corresponds to the parametric coordinate given.
/// </summary>
/// <param name="angleRadians">Parametric coordinate in radians.</param>
/// <returns></returns>
public override double SlopeByAngle(double angleRadians)
{
return(-1 * (DistanceFromVertexMinorToMajorAxis / DistanceFromVertexMajorToLocalOrigin) * TrigonometryLibrary.Cot(angleRadians));
}
/// <summary>
/// X-coordinate on the curve in local coordinates about the local origin that corresponds to the parametric coordinate given.
/// </summary>
/// <param name="angleRadians">Parametric coordinate in radians.</param>
/// <returns></returns>
public override double XbyRotationAboutOrigin(double angleRadians)
{
return(DistanceFromVertexMajorToLocalOrigin * TrigonometryLibrary.Cos(angleRadians));
}
/// <summary>
/// Primes the double by angle.
/// </summary>
/// <param name="angleRadians">The angle radians.</param>
/// <returns>System.Double.</returns>
public override double PrimeDoubleByParameter(double angleRadians)
{
return(-1 * _parent.RadiusAboutFocusRight((Coordinates.Angle)angleRadians) * TrigonometryLibrary.Sin(angleRadians));
}
/// <summary>
/// Primes the double by angle.
/// </summary>
/// <param name="angleRadians">The angle radians.</param>
/// <returns>System.Double.</returns>
public override double PrimeDoubleByParameter(double angleRadians)
{
return(-1 * _parent.DistanceFromVertexMajorToLocalOrigin * TrigonometryLibrary.Cos(angleRadians));
}
/// <summary>
/// X-coordinate on the curve in local coordinates about the focus that corresponds to the parametric coordinate given.
/// </summary>
/// <param name="angleRadians">Angle of rotation about the focus, in radians.</param>
/// <returns></returns>
public override double BaseByParameter(double angleRadians)
{
return(_parent.DistanceFromVertexMajorToLocalOrigin - _parent.RadiusAboutFocusRight((Coordinates.Angle)angleRadians) * TrigonometryLibrary.Cos(angleRadians));
}
/// <summary>
/// The radius measured from the left (-X) major vertex as a function of the angle in local coordinates.
/// </summary>
/// <param name="angleRadians">The angle in radians in local coordinates.</param>
/// <returns>System.Double.</returns>
public override double RadiusAboutVertexMajorLeft(double angleRadians)
{
double radius = 2 * Radius * TrigonometryLibrary.Cos(angleRadians);
return(radius.IsPositiveSign(Tolerance)? radius: 0);
}
/// <summary>
/// Primes the double by angle.
/// </summary>
/// <param name="angleRadians">The angle radians.</param>
/// <returns>System.Double.</returns>
public override double PrimeDoubleByParameter(double angleRadians)
{
return(-1 * _parent.DistanceFromVertexMinorToMajorAxis * TrigonometryLibrary.Sin(angleRadians));
}
