fraction_type.hpp File Reference

#include <limits>
#include <chrono>
#include <cstdio>
#include <cstdint>
#include <cmath>
#include "jau/cpp_lang_util.hpp"
#include <jau/int_types.hpp>
#include <jau/int_math.hpp>
#include <jau/ordered_atomic.hpp>
#include <jau/cpp_pragma.hpp>
#include <jau/backtrace.hpp>

Include dependency graph for fraction_type.hpp:

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Classes
class	jau::fraction< Int_type, >
	Fraction template type using integral values, evaluated at runtime. More...
struct	jau::fraction_timespec
	Timespec structure using int64_t for its components in analogy to struct timespec_t on 64-bit platforms. More...

Namespaces
namespace	jau
	__pack(...): Produces MSVC, clang and gcc compatible lead-in and -out macros.
namespace	jau::fraction_tv
namespace	jau::fractions_i64
	fractions namespace to provide fraction constants using int64_t as underlying integral integer type.
namespace	jau::fractions_i64_literals
namespace	std
	STL namespace.

Typedefs
typedef fraction< int64_t >	jau::fraction_i64
	fraction using int64_t as integral type
typedef fraction< uint64_t >	jau::fraction_u64
	fraction using uint64_t as integral type
typedef ordered_atomic< jau::fraction_i64, std::memory_order_relaxed >	jau::relaxed_atomic_fraction_i64
	Relaxed non-SC atomic integral scalar jau::fraction_i64.
typedef ordered_atomic< jau::fraction_u64, std::memory_order_relaxed >	jau::relaxed_atomic_fraction_u64
	Relaxed non-SC atomic integral scalar jau::fraction_u64.
typedef ordered_atomic< jau::fraction_i64, std::memory_order_seq_cst >	jau::sc_atomic_fraction_i64
	SC atomic integral scalar jau::fraction_i64.
typedef ordered_atomic< jau::fraction_u64, std::memory_order_seq_cst >	jau::sc_atomic_fraction_u64
	SC atomic integral scalar jau::fraction_u64.

Functions
template<typename int_type>
constexpr fraction< int_type >	jau::abs (const fraction< int_type > &rhs) noexcept
	Returns the absolute fraction.
constexpr fraction_timespec	jau::abs (const fraction_timespec &rhs) noexcept
	Returns the absolute fraction_timespec.
constexpr const jau::fraction_i64	jau::fractions_i64::days (86 '400l, 1lu)
	days is 86400/1
constexpr const jau::fraction_i64	jau::fractions_i64::giga (1 '000 '000 '000l, 1lu)
	giga is 10^9
constexpr const jau::fraction_i64	jau::fractions_i64::hours (3 '600l, 1lu)
	hours is 3660/1
constexpr const jau::fraction_i64	jau::fractions_i64::kilo (1 '000l, 1lu)
	kilo is 10^3
template<typename int_type>
constexpr const fraction< int_type > &	jau::max (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
	Return the maximum of the two given fractions.
constexpr const fraction_timespec &	jau::max (const fraction_timespec &lhs, const fraction_timespec &rhs) noexcept
	Return the maximum of the two given fraction_timespec.
constexpr const jau::fraction_i64	jau::fractions_i64::mega (1 '000 '000l, 1lu)
	mega is 10^6
constexpr const jau::fraction_i64	jau::fractions_i64::micro (1l, 1 '000 '000lu)
	micro is 10^-6
constexpr const jau::fraction_i64	jau::fractions_i64::milli (1l, 1 '000lu)
	milli is 10^-3
template<typename int_type>
constexpr const fraction< int_type > &	jau::min (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
	Return the minimum of the two given fractions.
constexpr const fraction_timespec &	jau::min (const fraction_timespec &lhs, const fraction_timespec &rhs) noexcept
	Return the minimum of the two given fraction_timespec.
constexpr const jau::fraction_i64	jau::fractions_i64::minutes (60l, 1lu)
	minutes is 60/1
constexpr const jau::fraction_i64	jau::fractions_i64::nano (1l, 1 '000 '000 '000lu)
	nano is 10^-9
constexpr const jau::fraction_i64	jau::fractions_i64::one (1l, 1lu)
	one is 10^0 or 1/1
template<typename int_type>
constexpr bool	jau::operator!= (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
constexpr fraction_i64	jau::fractions_i64_literals::operator""_d (unsigned long long int __d)
	Literal for fractions_i64::days.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_G (unsigned long long int __G)
	Literal for fractions_i64::giga.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_h (unsigned long long int __h)
	Literal for fractions_i64::hours.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_k (unsigned long long int __k)
	Literal for fractions_i64::kilo.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_M (unsigned long long int __M)
	Literal for fractions_i64::mega.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_m (unsigned long long int __m)
	Literal for fractions_i64::milli.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_min (unsigned long long int __min)
	Literal for fractions_i64::minutes.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_ms (unsigned long long int __ms)
	Literal for fractions_i64::milli.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_n (unsigned long long int __n)
	Literal for fractions_i64::nano.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_ns (unsigned long long int __ns)
	Literal for fractions_i64::nano.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_one (unsigned long long int __one)
	Literal for fractions_i64::one.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_p (unsigned long long int __p)
	Literal for fractions_i64::pico.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_s (unsigned long long int __s)
	Literal for fractions_i64::seconds.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_T (unsigned long long int __T)
	Literal for fractions_i64::tera.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_u (unsigned long long int __u)
	Literal for fractions_i64::micro.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_us (unsigned long long int __us)
	Literal for fractions_i64::micro.
constexpr fraction_i64	jau::fractions_i64_literals::operator""_y (unsigned long long int __y)
	Literal for fractions_i64::years.
template<typename int_type>
constexpr fraction< int_type >	jau::operator* (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
	Returns product of two fraction.
template<typename int_type>
constexpr fraction< int_type >	jau::operator* (const fraction< int_type > &lhs, const int_type &rhs) noexcept
	Returns multiplication of fraction with scalar.
constexpr fraction_timespec	jau::operator* (const fraction_timespec &lhs, const int64_t rhs) noexcept
	Returns product of fraction_timespec * scalar.
constexpr fraction_timespec	jau::operator* (const int64_t lhs, const fraction_timespec &rhs) noexcept
	Returns product of scalar * fraction_timespec.
template<typename int_type>
constexpr fraction< int_type >	jau::operator* (const int_type &lhs, const fraction< int_type > &rhs) noexcept
	Returns multiplication of fraction with scalar.
template<typename int_type>
constexpr fraction< int_type >	jau::operator+ (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
	Returns sum of two fraction.
constexpr fraction_timespec	jau::operator+ (const fraction_timespec &lhs, const fraction_timespec &rhs) noexcept
	Returns sum of two fraction_timespec.
template<typename int_type>
constexpr fraction< int_type >	jau::operator- (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
	Returns difference of two fraction.
constexpr fraction_timespec	jau::operator- (const fraction_timespec &lhs, const fraction_timespec &rhs) noexcept
	Returns difference of two fraction_timespec.
template<typename int_type>
constexpr fraction< int_type >	jau::operator/ (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
	Returns division of two fraction.
template<typename int_type>
constexpr fraction< int_type >	jau::operator/ (const fraction< int_type > &lhs, const int_type &rhs) noexcept
	Returns division of fraction with scalar.
constexpr fraction_timespec	jau::operator/ (const fraction_timespec &lhs, const int64_t rhs) noexcept
	Returns fraction of fraction_timespec / scalar.
constexpr fraction_timespec	jau::operator/ (const int64_t lhs, const fraction_timespec &rhs) noexcept
	Returns fraction of scalar / fraction_timespec.
template<typename int_type>
constexpr fraction< int_type >	jau::operator/ (const int_type &lhs, const fraction< int_type > &rhs) noexcept
	Returns division of fraction with scalar.
template<typename int_type>
constexpr bool	jau::operator< (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
template<typename int_type>
std::ostream &	std::operator<< (std::ostream &os, const jau::fraction< int_type > &v) noexcept
	Output stream operator for jau::fraction.
std::ostream &	std::operator<< (std::ostream &os, const jau::fraction_timespec &v) noexcept
	Output stream operator for jau::fraction_timespec.
template<typename int_type>
constexpr bool	jau::operator<= (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
template<typename int_type>
constexpr bool	jau::operator== (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
template<typename int_type>
constexpr bool	jau::operator> (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
template<typename int_type>
constexpr bool	jau::operator>= (const fraction< int_type > &lhs, const fraction< int_type > &rhs) noexcept
constexpr const jau::fraction_i64	jau::fractions_i64::pico (1l, 1 '000 '000 '000 '000lu)
	pico is 10^-12
constexpr const jau::fraction_i64	jau::fractions_i64::seconds (1l, 1lu)
	seconds is 1/1
template<typename int_type>
constexpr snsize_t	jau::sign (const fraction< int_type > &rhs) noexcept
	Returns the value of the sign function applied to numerator.
constexpr snsize_t	jau::sign (const fraction_timespec &rhs) noexcept
	Returns the value of the sign function applied to tv_sec.
constexpr const jau::fraction_i64	jau::fractions_i64::tera (1 '000 '000 '000 '000l, 1lu)
	tera is 10^12
bool	jau::to_fraction_i64 (fraction_i64 &result, const std::string &value, const fraction_i64 &min_allowed, const fraction_i64 &max_allowed) noexcept
	Stores the fraction_i64 value of the given string value in format <num>/<denom>, which may contain whitespace.
template<typename int_type>
std::string	jau::to_string (const fraction< int_type > &v) noexcept
std::string	jau::to_string (const fraction_timespec &v) noexcept
constexpr const jau::fraction_i64	jau::fractions_i64::years (31 '557 '600l, 1lu)
	years is 31'557'600/1 using 365.2425 days per year
constexpr const jau::fraction_timespec	jau::fraction_tv::zero (0, 0)
	jau::fraction_timespec zero is { 0, 0 }
constexpr const jau::fraction_i64	jau::fractions_i64::zero (0l, 1lu)
	zero is 0/1