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Compile-time rational arithmetic

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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 class templates, that perform arithmetic operations on ratio objects at compile-time are provided.

Template:cpp/numeric/ratio/dcl list ratio addTemplate:cpp/numeric/ratio/dcl list ratio subtractTemplate:cpp/numeric/ratio/dcl list ratio multiplyTemplate:cpp/numeric/ratio/dcl list ratio divide
Defined in header <ratio>

Compile-time rational comparison

Several class templates, that perform comparison operations on ratio objects at compile-time are provided.

Template:cpp/numeric/ratio/dcl list ratio equalTemplate:cpp/numeric/ratio/dcl list ratio not equalTemplate:cpp/numeric/ratio/dcl list ratio lessTemplate:cpp/numeric/ratio/dcl list ratio less equalTemplate:cpp/numeric/ratio/dcl list ratio greaterTemplate:cpp/numeric/ratio/dcl list ratio greater equal
Defined in header <ratio>