Complex

#include <iostream>
#include <vector>
#include <string>
using namespace std;
struct Complex {
    double Re;
    double Im;
};

Complex NewComplex(double a, double b) {
    Complex c;
    c.Re = a;
    c.Im = b;
    return c;
}
double Module(Complex a) {
    return sqrt(a.Re * a.Re + a.Im * a.Im);
}
double Angle(Complex a) {
    return atan2(a.Im, a.Re);
}
Complex Add(Complex a, Complex b) {
    return NewComplex(a.Re + b.Re, a.Im + b.Im);
}
Complex Sub(Complex a, Complex b) {
    return NewComplex(a.Re - b.Re, a.Im - b.Im);
}
Complex Mult(Complex a, Complex b) {
    return NewComplex(a.Re * b.Re - a.Im * b.Im, a.Re * b.Im + a.Im * b.Re);
}
Complex Divide(Complex a, Complex b) {
    return NewComplex((a.Re * b.Re + a.Im * b.Im) / (b.Im * b.Im + b.Re * b.Re), (b.Re * a.Im - a.Re * b.Im) / (b.Im * b.Im + b.Re * b.Re));
}
vector<Complex> Root(Complex a, int n) {
    vector<Complex> roots;
    double r = Module(a);
    double fi = Angle(a);
    for (int i = 0; i < n; i++) {
        Complex Root = NewComplex(pow(r, 1.0 / n) * cos((fi + 2 * 3.14 * i) / n), pow(r, 1.0 / n) * sin((fi + 2 * 3.14 * i) / n));
        roots.push_back(Root);
    }
    return roots;
}
Complex Power(Complex a, int n) {
    return NewComplex(pow(Module(a), n) * cos(n * Angle(a)), pow(Module(a), n) * sin(n * Angle(a)));
}
string ComplexToString(Complex a) {
    string out;
    out += to_string(a.Re);
    out += ((a.Im >= 0) ? "+" : "-");
    out += to_string(abs(a.Im))+"i";
    return out;
}
int main()
{
    setlocale(0, "ru");
    Complex a = NewComplex(1, 5);
    Complex b = NewComplex(4, 3);
    cout << "a: " << ComplexToString(a) << endl;
    cout << "b: " << ComplexToString(b) << endl;
    cout << "Сложение: " << ComplexToString(Add(a, b)) << endl;
    cout << "Вычитание: " << ComplexToString(Sub(a, b)) << endl;
    cout << "Произведение: " << ComplexToString(Mult(a, b)) << endl;
    cout << "Деление: " << ComplexToString(Divide(a, b)) << endl;
    cout << "3 степень: " << ComplexToString(Power(a, 3)) << endl;
    cout << "Корень 3 степени: " << endl;
    vector<Complex> roots = Root(a, 3);
    for (int i = 0; i < 3; i++) {
        cout << i << ": " << ComplexToString(roots[i]) << endl;
    }
}