#include "math_lib.hpp"
#include <cmath>

namespace Math {

// --- Free functions ---

double sqrt(double x) {
    return std::sqrt(x);
}

double square(double x) {
    return x * x;
}

double cube(double x) {
    return x * x * x;
}

// --- Vector2D ---

Vector2D::Vector2D(double x, double y) : x(x), y(y) {}

double Vector2D::length() const {
    return std::sqrt(x * x + y * y);
}

Vector2D Vector2D::add(const Vector2D& other) const {
    return Vector2D(x + other.x, y + other.y);
}

Vector2D Vector2D::scale(double factor) const {
    return Vector2D(x * factor, y * factor);
}

double Vector2D::dot(const Vector2D& other) const {
    return x * other.x + y * other.y;
}

} // namespace Math