namespace std {
template <intmax_t N, intmax_t D = 1>
class ratio {
public:
static constexpr intmax_t num;
static constexpr intmax_t den;
using type = ratio<num, den>;
};
}
If the template argument D is zero or the absolute values of either of the template arguments N and D is not representable by type intmax_t, the program is ill-formed. [ Note: These rules ensure that infinite ratios are avoided and that for any negative input, there exists a representable value of its absolute value which is positive. In a two's complement representation, this excludes the most negative value. — end note ]
The static data members num and den shall have the following values, where gcd represents the greatest common divisor of the absolute values of N and D:
num shall have the value sign(N) * sign(D) * abs(N) / gcd.
den shall have the value abs(D) / gcd.
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