Compile-time rational arithmetic
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) |