public static void Differentiate_Differentiates_Equations(double position,
double expectedX, double expectedY,
double expectedXPrime, double expectedYPrime,
double expectedXPrimePrime, double expectedYPrimePrime)
{
// Base function
double xValue = parametric.Xcomponent.ValueAt(position);
Assert.AreEqual(expectedX, xValue);
double yValue = parametric.Ycomponent.ValueAt(position);
Assert.AreEqual(expectedY, yValue);
// First differential
Assert.IsTrue(parametric.HasDifferential());
CartesianParametricEquationXY parametricPrime = parametric.Differentiate();
double xValuePrime = parametricPrime.Xcomponent.ValueAt(position);
Assert.AreEqual(expectedXPrime, xValuePrime);
double yValuePrime = parametricPrime.Ycomponent.ValueAt(position);
Assert.AreEqual(expectedYPrime, yValuePrime);
// Second differential
Assert.IsTrue(parametricPrime.HasDifferential());
CartesianParametricEquationXY parametricPrimePrime = parametricPrime.Differentiate();
double xValuePrimePrime = parametricPrimePrime.Xcomponent.ValueAt(position);
Assert.AreEqual(expectedXPrimePrime, xValuePrimePrime);
double yValuePrimePrime = parametricPrimePrime.Ycomponent.ValueAt(position);
Assert.AreEqual(expectedYPrimePrime, yValuePrimePrime);
// No third differential
Assert.IsFalse(parametricPrimePrime.HasDifferential());
}
public static void Differentiate_Throws_ArgumentOutOfRangeException_if_Index_is_Greater_Than_Differentiations_Available()
{
CartesianParametricEquationXY parametricPrimePrime = parametric.DifferentiateBy(2);
Assert.Throws <ArgumentOutOfRangeException>(() => parametricPrimePrime.Differentiate());
}
/// <summary>
/// Returns a differential of the parametric vector.
/// For any component that no longer has a differential, the associated function returns a pre-defined constant value.
/// </summary>
/// <returns>VectorParametric.</returns>
public VectorParametric Differentiate()
{
CartesianParametricEquationXY differential = _curveParametric.Differentiate() as CartesianParametricEquationXY;
return(new VectorParametric(differential, Tolerance));
}
