#include "task3.hpp" // solve_quadratic_equation
#include <valarray>

/// @brief Calculates the real solutions of the quadratic equation a*x^2 + b*x + c = 0.
/// @param a coefficient; assertion: 'a' is a non-zero value
/// @param b coefficient
/// @param c coefficient
/// @return The two real solutions (order: ascending).
///         If no real solutions exists, the tuple contains two quiet NaNs.
std::tuple<double, double> solve_quadratic_equation(double a, double b, double c){
    double x1, x2;
        double d = b*b - 4*a*c;
        if(d < 0){
            x1 = NAN;
            x2 = NAN;
        }else{
            x1 = (-b - sqrt(d))/(2*a);
            x2 = (-b + sqrt(d))/(2*a);
        }
        return std::make_tuple(x1, x2);

}

/// @brief Calculates the real solutions of the quadratic equation a*x^2 + b*x + c = 0.
/// @param abc coefficients; assertion: first coefficient 'a' is a non-zero value
/// @return The two real solutions (order: ascending).
///         If no real solutions exists, the tuple contains two quiet NaNs.
std::tuple<double, double> solve_quadratic_equation(std::tuple<double, double, double> abc){
    double a = std::get<0>(abc);
    double b = std::get<1>(abc);
    double c = std::get<2>(abc);
    return solve_quadratic_equation(a, b, c);
}