private static void Complexity()
{
Complex result = Complex.I ^ (Complex.I + 3);
Complex x = ComplexMath.Exponential(1, System.Math.PI / 3);
Console.WriteLine(x);
Console.WriteLine(result);
Console.WriteLine(1 * (System.Math.Sin(System.Math.PI / 3) * Complex.I +
System.Math.Cos(System.Math.PI / 3)));
Console.Write("Input here: ");
if (Complex.TryParse(Console.ReadLine(), out var c))
{
Console.WriteLine();
for (int i = 0; i < 10; i++)
{
Console.WriteLine(c ^ i);
}
}
}
/// <summary>
/// Exponentiation of a real with a complex number
/// </summary>
/// <param name="b"></param>
/// <param name="exp"></param>
/// <returns></returns>
public static Complex operator ^(double b, Complex exp)
{
return(ComplexMath.Exponential(System.Math.Pow(b, exp.Real), exp.Imaginary * System.Math.Log(b)));
}
/// <summary>
/// Exponentiation of a complex with a real number
/// </summary>
/// <param name="b"></param>
/// <param name="exp"></param>
/// <returns></returns>
public static Complex operator ^(Complex b, double exp)
{
return(ComplexMath.Exponential(System.Math.Pow(b.Modulus, exp), b.Argument * exp));
}
