/// <summary>
/// Raise this <c>Complex</c> to the given value.
/// </summary>
/// <param name="complex">The <see cref="Complex"/> number to perfom this operation on.</param>
/// <param name="exponent">
/// The exponent.
/// </param>
/// <returns>
/// The complex number raised to the given exponent.
/// </returns>
public static Complex Power(this Complex complex, Complex exponent)
{
if (complex.IsZero())
{
if (exponent.IsZero())
{
return(Complex.One);
}
if (exponent.Real > 0.0)
{
return(Complex.Zero);
}
if (exponent.Real < 0)
{
if (exponent.Imaginary == 0.0)
{
return(new Complex(double.PositiveInfinity, 0.0));
}
return(new Complex(double.PositiveInfinity, double.PositiveInfinity));
}
return(double.NaN);
}
return((exponent * complex.NaturalLogarithm()).Exponential());
}
