#include "cmc_complex_eval.h"
#include "cmc_complex.h"
#include "cmc_complex_stack.h"
#include <iostream>
#include <string>
#include <cmath>
#include <vector>

int main(int argc, char *argv[])
{
    // // if (argc < 3) {
    // //     return 0;
    // // }
    int N = std::stoi((std::string(argv[3])));
    double step = M_PI * 2 / N;
    double R = std::stod((std::string(argv[2])));
    numbers::complex C((std::string(argv[1])));

    std::vector<std::string> vec;
    for (int i = 4; i < argc; ++i) {
        vec.push_back((std::string(argv[i])));
    }

    numbers::complex I(0, 0);
    numbers::complex last(R + C.re(), C.im()), tmp;

    for (int i = 1; i < N+1; ++i) {
        tmp = numbers::complex(cos((i - 0.5) * step) * R + C.re(), sin((i - 0.5) * step) * R + C.im());
        last = tmp;
        I += numbers::eval(vec, tmp) * step * numbers::complex(-R * sin((i - 0.5) * step), R * cos((i - 0.5) * step));
    }

    std::cout << I.to_string() << std::endl;
}