math.cpp

#include <iostream>
#include <iomanip>

typedef long long integral;

struct num {
  integral const z;
  integral const s;

  num(integral const z, integral const s) : z(z), s(s) {}
  num(integral const z) : z(z), s(0) {}
  num() : z(0), s(0) {}
  num(integral const z, num const b) : z(z), s(b.s) {}
  num(num const a, integral const s) : z(a.z), s(s) {}
};

static inline num operator "" _s(unsigned long long const s) { return num(0, s); }

static inline num operator *(num const a, num const b) {
  return num(a.z * b.z - 5 * a.s * b.s,
             a.z * b.s + a.s * (b.z + b.s));
}

static inline num operator +(num const a, num const b) {
  return num(a.z + b.z, a.s + b.s);
}

static inline num operator -(num const a, num const b) {
  return num(a.z - b.z, a.s - b.s);
}

static inline num operator -(num const a) {
  return num(-a.z, -a.s);
}

static inline std::ostream &operator <<(std::ostream &out, num const a) {
  if (a.s == 0) {
    return out << a.z;
  }
  if (a.z == 0) {
    return out << a.s << 's';
  }
  return out << a.z << std::setiosflags(std::ios::showpos)
             << a.s << 's'
             << std::resetiosflags(std::ios::showpos);
}

static inline num sqr(num const a) { return a * a; }


int main() {
  std::cout << (num(2, 3) + num(100_s - 1, 2) * num(3, -1_s)) << std::endl;
  std::cout << (2 * -(4 - 5_s) - 7) << std::endl;
  std::cout << (sqr(2_s) - 4_s) << std::endl;
  std::cout << 0_s << std::endl;
  std::cout << 10_s << std::endl;
  std::cout << -1_s << std::endl;
  std::cout << (5 - 1_s) << std::endl;
  return 0;
}