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| title |
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| ratio |
{{< callout type="info">}}
Header: ratio.h
Since: TBC
Similar to: std::ratio
{{< /callout >}}
A template constant to encode ratios.
template <const size_t NUM, const size_t DEN = 1>
struct ratio
{
static ETL_CONSTANT intmax_t num = NUM;
static ETL_CONSTANT intmax_t den = DEN;
};
num : Numerator
den : Denominator
Predefined ratios
If INT_MAX > INT32_MAX
typedef ratio<1, 1000000000000000000LL * 1000000000000LL> quecto;
typedef ratio<1, 1000000000000000000LL * 1000000000LL> ronto;
typedef ratio<1, 1000000000000000000000000LL> yocto;
typedef ratio<1, 1000000000000000000000> zepto;
typedef ratio<1, 1000000000000000000> atto;
typedef ratio<1, 1000000000000000> femto;
typedef ratio<1, 1000000000000> pico;
If INT_MAX >= INT32_MAX
typedef ratio<1, 1000000000> nano;
typedef ratio<1, 1000000> micro;
If INT_MAX >= INT16_MAX
typedef ratio<1, 1000> milli;
typedef ratio<1, 100> centi;
typedef ratio<1, 10> deci;
typedef ratio<10, 1> deca;
typedef ratio<100, 1> hecto;
typedef ratio<1000, 1> kilo;
If INT_MAX >= INT32_MAX
typedef ratio<1000000, 1> mega;
typedef ratio<1000000000, 1> giga;
If INT_MAX > INT32_MAX
typedef ratio<1000000000000, 1> tera;
typedef ratio<1000000000000000, 1> peta;
typedef ratio<1000000000000000000, 1> exa;
typedef ratio<1000000000000000000000, 1> zetta;
typedef ratio<1000000000000000000000000LL, 1> yotta;
typedef ratio<1000000000000000000LL * 1000000000LL, 1> ronna;
typedef ratio<1000000000000000000LL * 1000000000000LL, 1> quetta;
typedef ratio<355, 113> ratio_pi;
An approximation of PI to 6 digits.
typedef ratio<239, 169> ratio_root2;
An approximation of root 2.
typedef ratio<169, 239> ratio_1_over_root2;
An approximation of 1 over root 2.
typedef ratio<326, 120> ratio_e;
An approximation of e.