std::ratio_divide
Defined in header <ratio> | ||
template<class R1, class R2 > using ratio_divide =/* see below */; | (since C++11) | |
The alias template std::ratio_divide
denotes the result of dividing two exact rational fractions represented by the std::ratio specializations R1
and R2
.
The result is a std::ratio specialization std::ratio<U, V>, such that given Num == R1::num* R2::den and Denom == R1::den* R2::num (computed without arithmetic overflow), U
is std::ratio<Num, Denom>::num and V
is std::ratio<Num, Denom>::den.
[edit]Notes
If U
or V
is not representable in std::intmax_t, the program is ill-formed. If Num
or Denom
is not representable in std::intmax_t, the program is ill-formed unless the implementation yields correct values for U
and V
.
The above definition requires that the result of std::ratio_divide<R1, R2> be already reduced to lowest terms; for example, std::ratio_divide<std::ratio<1, 12>, std::ratio<1, 6>> is the same type as std::ratio<1, 2>.
[edit]Example
#include <iostream>#include <ratio> int main(){using two_third =std::ratio<2, 3>;using one_sixth =std::ratio<1, 6>;using quotient = std::ratio_divide<two_third, one_sixth>; static_assert(std::ratio_equal_v<quotient, std::ratio<0B100, 0X001>>);std::cout<<"(2/3) / (1/6) = "<< quotient::num<<'/'<< quotient::den<<'\n';}
Output:
(2/3) / (1/6) = 4/1
[edit]See also
(C++11) | multiplies two ratio objects at compile-time(alias template) |