/// <summary>
/// Returns the differential of the current parametric function.
/// </summary>
/// <param name="index">The index to differentiate to, which must be greater than 0.</param>
/// <returns>HyperbolicParametric.</returns>
/// <exception cref="ArgumentOutOfRangeException">Index must not be greater than {_components.Count - 1} in order to differentiate.</exception>
public ParametricComponents <T1, T2, T3> Differentiate(int index)
{
index++;
if (_components.Count <= index)
{
throw new ArgumentOutOfRangeException($"Index: {index} must not be greater than {_components.Count - 1} in order to differentiate.");
}
ParametricComponents <T1, T2, T3> differential = Clone() as ParametricComponents <T1, T2, T3>;
differential._differentiationIndex = index;
return(differential);
}
/// <summary>
/// Returns the current parametric function, differentiated to the specified # of times.
/// </summary>
/// <param name="index">The index to differentiate to, which must be greater than 0.</param>
/// <returns>HyperbolicParametric.</returns>
/// <exception cref="ArgumentOutOfRangeException">Index: {index} must not be less than 0.</exception>
/// <exception cref="ArgumentOutOfRangeException">Index: {index} must not be greater than {_components.Count - 1} in order to differentiate.</exception>
public ParametricComponents <T1, T2, T3> DifferentiateBy(int index)
{
if (index < 0)
{
throw new ArgumentOutOfRangeException($"Index: {index} must not be less than 0.");
}
if (index < _differentiationIndex)
{
throw new ArgumentOutOfRangeException($"Differentiation index {index} cannot be less than than current index {_differentiationIndex}.");
}
if (_components.Count <= index)
{
throw new ArgumentOutOfRangeException($"Index: {index} must not be greater than {_components.Count - 1} in order to differentiate.");
}
ParametricComponents <T1, T2, T3> differential = Clone() as ParametricComponents <T1, T2, T3>;
differential._differentiationIndex = index;
return(differential);
}
