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#include <iostream>
#include <complex>
namespace math {
template<typename T>
struct vec3 {
T x;
T y;
T z;
};
}
template<typename T>
math::vec3<T> operator+(const math::vec3<T>& a, const math::vec3<T>& b) {
math::vec3<T> res;
res.x = a.x + b.x;
res.y = a.y + b.y;
res.z = a.z + b.z;
return res;
}
template<typename T>
math::vec3<T> operator*(const T& scalar, const math::vec3<T>& vec) {
math::vec3<T> res;
res.x = scalar * vec.x;
res.y = scalar * vec.y;
res.z = scalar * vec.z;
return res;
}
template<typename T>
math::vec3<T> operator-(const math::vec3<T>& a, const math::vec3<T>& b) {
return a + static_cast<T>(-1) * b;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, const math::vec3<T>& vec) {
os << "<" << vec.x << ", "
<< vec.y << ", "
<< vec.z << ">";
return os;
}
int main(int argc, char *argv[]) {
// using numeric_type = std::complex<int>;
using numeric_type = int;
math::vec3<numeric_type> a = {1, 2, 3};
math::vec3<numeric_type> b = {1, 2, 3};
std::cout << a + b << std::endl;
std::cout << a - b << std::endl;
std::cout << static_cast<numeric_type>(2) * b << std::endl;
return 0;
}
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