/// <returns>A complex point from a given string</returns>
public static ComplexPoint GetPointFromString(string input)
{
string[] @params = input.Split(new char[] { ' ', 'i', '+', '(', ')' }
, StringSplitOptions.RemoveEmptyEntries);
ComplexPoint c = new ComplexPoint(double.Parse(@params[0]), double.Parse(@params[1]));
return(c);
}
/// <returns> A n-degree of a colex point </returns>
public static ComplexPoint Pow(ComplexPoint c, double exponent)
{
double x = c.Re;
double y = c.Im;
double modulus = Math.Pow(x * x + y * y, exponent * 0.5);
double argument = Math.Atan2(y, x) * exponent;
c.Re = (double)(modulus * System.Math.Cos(argument));
c.Im = (double)(modulus * System.Math.Sin(argument));
return(c);
}