template<int FractionalBits>
struct FixedPoint {
    int32_t raw;
 
    explicit constexpr FixedPoint(float val)
        : raw(static_cast<int32_t>(val * (1 << FractionalBits) + (val >= 0 ? 0.5f : -0.5f))) {}
 
    constexpr float toFloat() const {
        return static_cast<float>(raw) / (1 << FractionalBits);
    }
 
    FixedPoint operator+(FixedPoint other) const {
        FixedPoint res;
        res.raw = this->raw + other.raw;
        return res;
    }
 
private:
    FixedPoint() : raw(0) {}
};