/// <summary>
/// complex power - complex exponent
/// </summary>
/// <param name="basis">basis</param>
/// <param name="exponent">exponent</param>
/// <returns>complex number exp(log(basis) * exponent).</returns>
/// <remarks>The result will be the complex number exp(log(basis) * exponent). </remarks>
public static complex Pow(complex basis, complex exponent) {
complex ret = (basis.Log() * exponent);
return ret.Exp();
}
/// <summary>
/// complex power for real exponent
/// </summary>
/// <param name="input">basis </param>
/// <param name="exponent">exponent</param>
/// <returns>result of input power exponent</returns>
/// <remarks>the computation will be carried out by
/// <para>exp(log(input) * exponent)</para></remarks>
public static complex Pow(complex input, double exponent) {
complex ret = input.Log();
ret.imag *= exponent;
ret.real *= exponent;
return ret.Exp();
}