The class template std::ratio and associated templates provide compile-time rational arithmetic support. Each instantiation of this template exactly represents any finite rational number.
Compile-time fractions
| Defined in header <ratio> | |
|---|---|
| represents exact rational fraction (class template) | |
Several convenience typedefs that correspond to the SI ratios are provided by the standard library:
| Defined in header <ratio> | |
|---|---|
| Type | Definition |
yocto | std::ratio<1, 1000000000000000000000000>, if std::intmax_t can represent the denominator |
zepto | std::ratio<1, 1000000000000000000000>, if std::intmax_t can represent the denominator |
atto | std::ratio<1, 1000000000000000000> |
femto | std::ratio<1, 1000000000000000> |
pico | std::ratio<1, 1000000000000> |
nano | std::ratio<1, 1000000000> |
micro | std::ratio<1, 1000000> |
milli | std::ratio<1, 1000> |
centi | std::ratio<1, 100> |
deci | std::ratio<1, 10> |
deca | std::ratio<10, 1> |
hecto | std::ratio<100, 1> |
kilo | std::ratio<1000, 1> |
mega | std::ratio<1000000, 1> |
giga | std::ratio<1000000000, 1> |
tera | std::ratio<1000000000000, 1> |
peta | std::ratio<1000000000000000, 1> |
exa | std::ratio<1000000000000000000, 1> |
zetta | std::ratio<1000000000000000000000, 1>, if std::intmax_t can represent the numerator |
yotta | std::ratio<1000000000000000000000000, 1>, if std::intmax_t can represent the numerator |
Compile-time rational arithmetic
Several alias templates, that perform arithmetic operations on ratio objects at compile-time are provided.
| Defined in header <ratio> | |
|---|---|
| (C++11) | adds two ratio objects at compile-time (alias template) |
| (C++11) | subtracts two ratio objects at compile-time (alias template) |
| (C++11) | multiplies two ratio objects at compile-time (alias template) |
| (C++11) | divides two ratio objects at compile-time (alias template) |
Compile-time rational comparison
Several class templates, that perform comparison operations on ratio objects at compile-time are provided.
| Defined in header <ratio> | |
|---|---|
| (C++11) | compares two ratio objects for equality at compile-time (class template) |
| (C++11) | compares two ratio objects for inequality at compile-time (class template) |
| (C++11) | compares two ratio objects for less than at compile-time (class template) |
| (C++11) | compares two ratio objects for less than or equal to at compile-time (class template) |
| (C++11) | compares two ratio objects for greater than at compile-time (class template) |
| (C++11) | compares two ratio objects for greater than or equal to at compile-time (class template) |
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