/// <summary>
/// Natural Logarithm of this <c>Complex</c> (Base E).
/// </summary>
/// <param name="complex">The <see cref="Complex"/> number to perfom this operation on.</param>
/// <returns>
/// The natural logarithm of this complex number.
/// </returns>
public static Complex NaturalLogarithm(this Complex complex)
{
if (complex.IsRealNonNegative())
{
return(new Complex(Math.Log(complex.Real), 0.0));
}
return(new Complex(0.5 * Math.Log(complex.MagnitudeSquared()), complex.Phase));
}
/// <summary>
/// Returns a Norm of a value of this type, which is appropriate for measuring how
/// close this value is to zero.
/// </summary>
/// <param name="complex">The <see cref="Complex"/> number to perfom this operation on.</param>
/// <returns>A norm of this value.</returns>
public static double Norm(this Complex complex)
{
return(complex.MagnitudeSquared());
}
