public void CalculateDegree(Complex operand, int degree)
{
ComplexDegreeResult = new ComplexDegreeResultHolder();
var res = Complex.Pow(operand, degree);
ComplexDegreeResult.Results.Add(new Complex(Math.Round(res.Real, 5), Math.Round(res.Imaginary, 5)));
}
public void CalculateRadical(Complex operand, int degree)
{
ComplexDegreeResult = new ComplexDegreeResultHolder();
double a = operand.Real;
double b = operand.Imaginary;
bool numbersAreInteger = false;
if (operand.Real == Math.Truncate(operand.Real) && operand.Imaginary == Math.Truncate(operand.Imaginary))
{
long nod = NODCalculator.FindGreatestCommonDivisor((long)a, (long)b);
a = a / nod;
b = b / nod;
numbersAreInteger = true;
}
ComplexDegreeResult.Mod = Math.Pow((Math.Pow(operand.Real, 2) + Math.Pow(operand.Imaginary, 2)), 1.0 / 2.0);
double trigArg;
double radMod = Math.Pow(ComplexDegreeResult.Mod, 1.0 / (double)degree);
if (a != 0 && b != 0)
{
if (a > 0)
{
for (int i = 0; i < degree; i++)
{
if (numbersAreInteger)
{
ComplexDegreeResult.Arguments.Add($"arctg({Math.Round(b, 0)}/{Math.Round(a, 0)}) + 2*pi*{i}");
}
else
{
ComplexDegreeResult.Arguments.Add($"arctg({Math.Round(b, 5)}/{Math.Round(a, 5)}) + 2*pi*{i}");
}
trigArg = (Math.Atan(b / a) + 2 * Math.PI * i) / (double)degree;
ComplexDegreeResult.Results.Add(new Complex(Math.Round(radMod * Math.Cos(trigArg), 5), Math.Round(radMod * Math.Sin(trigArg), 5)));
}
}
else if (a < 0 && b > 0)
{
for (int i = 0; i < degree; i++)
{
if (numbersAreInteger)
{
ComplexDegreeResult.Arguments.Add($"pi + arctg({Math.Round(b, 0)}/{Math.Round(a, 0)}) + 2*pi*{i}");
}
else
{
ComplexDegreeResult.Arguments.Add($"pi + arctg({Math.Round(b, 5)}/{Math.Round(a, 5)}) + 2*pi*{i}");
}
trigArg = (Math.PI + Math.Atan(b / a) + 2 * Math.PI * i) / (double)degree;
ComplexDegreeResult.Results.Add(new Complex(Math.Round(radMod * Math.Cos(trigArg), 5), Math.Round(radMod * Math.Sin(trigArg), 5)));
}
}
else if (a < 0 && b < 0)
{
for (int i = 0; i < degree; i++)
{
if (numbersAreInteger)
{
ComplexDegreeResult.Arguments.Add($"-pi + arctg({Math.Round(b, 0)}/{Math.Round(a, 0)}) + 2*pi*{i}");
}
else
{
ComplexDegreeResult.Arguments.Add($"-pi + arctg({Math.Round(b, 5)}/{Math.Round(a, 5)}) + 2*pi*{i}");
}
trigArg = (-Math.PI + Math.Atan(b / a) + 2 * Math.PI * i) / (double)degree;
ComplexDegreeResult.Results.Add(new Complex(Math.Round(radMod * Math.Cos(trigArg), 5), Math.Round(radMod * Math.Sin(trigArg), 5)));
}
}
}
else if (a == 0 && b != 0)
{
if (b > 0)
{
for (int i = 0; i < degree; i++)
{
if (numbersAreInteger)
{
ComplexDegreeResult.Arguments.Add($"pi/2 + 2*pi*{i}");
}
else
{
ComplexDegreeResult.Arguments.Add($"pi/2 + 2*pi*{i}");
}
trigArg = (Math.PI / 2 + 2 * Math.PI * i) / (double)degree;
ComplexDegreeResult.Results.Add(new Complex(Math.Round(radMod * Math.Cos(trigArg), 5), Math.Round(radMod * Math.Sin(trigArg), 5)));
}
}
else if (b < 0)
{
for (int i = 0; i < degree; i++)
{
if (numbersAreInteger)
{
ComplexDegreeResult.Arguments.Add($"-pi/2 + 2*pi*{i}");
}
else
{
ComplexDegreeResult.Arguments.Add($"-pi/2 + 2*pi*{i}");
}
trigArg = (-Math.PI / 2 + 2 * Math.PI * i) / (double)degree;
ComplexDegreeResult.Results.Add(new Complex(Math.Round(radMod * Math.Cos(trigArg), 5), Math.Round(radMod * Math.Sin(trigArg), 5)));
}
}
}
else if (b == 0 && a != 0)
{
if (a > 0)
{
for (int i = 0; i < degree; i++)
{
if (numbersAreInteger)
{
ComplexDegreeResult.Arguments.Add($"2*pi*{i}");
}
else
{
ComplexDegreeResult.Arguments.Add($"2*pi*{i}");
}
trigArg = (2 * Math.PI * i) / (double)degree;
ComplexDegreeResult.Results.Add(new Complex(Math.Round(radMod * Math.Cos(trigArg), 5), Math.Round(radMod * Math.Sin(trigArg), 5)));
}
}
else if (a < 0)
{
for (int i = 0; i < degree; i++)
{
if (numbersAreInteger)
{
ComplexDegreeResult.Arguments.Add($"pi + 2*pi*{i}");
}
else
{
ComplexDegreeResult.Arguments.Add($"pi + 2*pi*{i}");
}
trigArg = (Math.PI + 2 * Math.PI * i) / (double)degree;
ComplexDegreeResult.Results.Add(new Complex(Math.Round(radMod * Math.Cos(trigArg), 5), Math.Round(radMod * Math.Sin(trigArg), 5)));
}
}
}
else
{
ComplexDegreeResult.Results.Add(new Complex(0, 0));
}
}
