std::ratio_subtract
Defined in header <ratio>
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template< class R1, class R2 > using ratio_subtract = /* see below */; |
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The alias template std::ratio_subtract
denotes the result of subtracting 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 - R2::num * R1::den and Denom == R1::den * R2::den (computed without arithmetic overflow), U
is std::ratio<Num, Denom>::num and V
is std::ratio<Num, Denom>::den.
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_subtract<R1, R2> be already reduced to lowest terms; for example, std::ratio_subtract<std::ratio<1, 2>, std::ratio<1, 6>> is the same type as std::ratio<1, 3>.