cpg::rational_number Namespace Reference

Classes
class	rational

Concepts
concept	real_number_c
concept	allowed_type_c
concept	number_c

Typedefs
using	real_number_list = types::type_container< float, double, long double >
using	allowed_type_list = types::type_container< char, signed char, unsigned char, short, unsigned short, int, unsigned int, long, unsigned long, long long, unsigned long long >
using	numerical_type_list = types::type_container< char, unsigned char, short, unsigned short, int, unsigned int, long, unsigned long, long long, unsigned long long, float, double, long double >

Functions
template<allowed_type_c ElementType>
constexpr ElementType	reduce_adjusted (ElementType &A, ElementType &B) noexcept
template<allowed_type_c ElementType>
constexpr ElementType	reduce_simple (ElementType &A, ElementType &B) noexcept
template<allowed_type_c T>
constexpr bool	tell_comparable_as_double ()
template<allowed_type_c L, allowed_type_c R> requires ( !std::same_as<L, R>)
std::strong_ordering	operator<=> (rational< L > const &lhs, rational< R > const &rhs)
template<allowed_type_c L, allowed_type_c R> requires ( !std::same_as<L, R>)
std::strong_ordering	operator<=> (rational< L > const &lhs, R rhs)
template<allowed_type_c L, real_number_c R>
std::strong_ordering	operator<=> (rational< L > const &lhs, R rhs)
template<allowed_type_c L, allowed_type_c R> requires ( !std::same_as<L, R>)
bool	operator== (rational< L > const &lhs, rational< R > const &rhs)
template<allowed_type_c L, allowed_type_c R> requires ( !std::same_as<L, R>)
bool	operator== (rational< L > const &lhs, R rhs)
template<allowed_type_c L, real_number_c R>
bool	operator== (rational< L > const &lhs, R rhs)
auto	factorial (unsigned long long n) noexcept
auto	nPr (unsigned long long n, unsigned long long r=1) noexcept
auto	nCr (unsigned long long n, unsigned long long r) noexcept

Variables
const std::vector< unsigned long long >	factorial_table
const std::vector< std::vector< unsigned long long > >	permutation_table
const std::vector< std::vector< unsigned long long > >	combination_table

Typedef Documentation

allowed_type_list

using cpg::rational_number::allowed_type_list = typedef types::type_container<char, signed char, unsigned char, short, unsigned short, int, unsigned int, long, unsigned long, long long, unsigned long long>

Definition at line 55 of file cpg_rational.hpp.

numerical_type_list

using cpg::rational_number::numerical_type_list = typedef types::type_container<char, unsigned char, short, unsigned short, int, unsigned int, long, unsigned long, long long, unsigned long long, float, double, long double>

Definition at line 65 of file cpg_rational.hpp.

real_number_list

using cpg::rational_number::real_number_list = typedef types::type_container<float, double, long double>

Definition at line 48 of file cpg_rational.hpp.

Function Documentation

factorial()

auto cpg::rational_number::factorial ( unsigned long long  n )

noexcept

Definition at line 909 of file cpg_rational.hpp.

nCr()

auto cpg::rational_number::nCr ( unsigned long long  n, unsigned long long  r  )

noexcept

Definition at line 958 of file cpg_rational.hpp.

nPr()

auto cpg::rational_number::nPr ( unsigned long long  n, unsigned long long  r = 1  )

noexcept

Definition at line 933 of file cpg_rational.hpp.

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operator<=>() [1/3]

template<allowed_type_c L, allowed_type_c R>
requires ( !std::same_as<L, R>)

std::strong_ordering cpg::rational_number::operator<=>	(	rational< L > const &	lhs,
		R	rhs
	)

Definition at line 734 of file cpg_rational.hpp.

operator<=>() [2/3]

template<allowed_type_c L, real_number_c R>

std::strong_ordering cpg::rational_number::operator<=>	(	rational< L > const &	lhs,
		R	rhs
	)

Definition at line 745 of file cpg_rational.hpp.

operator<=>() [3/3]

template<allowed_type_c L, allowed_type_c R>
requires ( !std::same_as<L, R>)

std::strong_ordering cpg::rational_number::operator<=>	(	rational< L > const &	lhs,
		rational< R > const &	rhs
	)

Definition at line 722 of file cpg_rational.hpp.

operator==() [1/3]

template<allowed_type_c L, allowed_type_c R>
requires ( !std::same_as<L, R>)

bool cpg::rational_number::operator==	(	rational< L > const &	lhs,
		R	rhs
	)

Definition at line 772 of file cpg_rational.hpp.

operator==() [2/3]

template<allowed_type_c L, real_number_c R>

bool cpg::rational_number::operator==	(	rational< L > const &	lhs,
		R	rhs
	)

Definition at line 783 of file cpg_rational.hpp.

operator==() [3/3]

template<allowed_type_c L, allowed_type_c R>
requires ( !std::same_as<L, R>)

bool cpg::rational_number::operator==	(	rational< L > const &	lhs,
		rational< R > const &	rhs
	)

Definition at line 760 of file cpg_rational.hpp.

reduce_adjusted()

template<allowed_type_c ElementType>

constexpr ElementType cpg::rational_number::reduce_adjusted ( ElementType &  A, ElementType &  B  )

constexprnoexcept

Definition at line 77 of file cpg_rational.hpp.

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reduce_simple()

template<allowed_type_c ElementType>

constexpr ElementType cpg::rational_number::reduce_simple ( ElementType &  A, ElementType &  B  )

constexprnoexcept

Definition at line 100 of file cpg_rational.hpp.

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tell_comparable_as_double()

template<allowed_type_c T>

constexpr bool cpg::rational_number::tell_comparable_as_double ( )

constexpr

Definition at line 116 of file cpg_rational.hpp.

Variable Documentation

combination_table

const std::vector<std::vector<unsigned long long> > cpg::rational_number::combination_table

Definition at line 793 of file permu_combi_table.cxx.

factorial_table

const std::vector<unsigned long long> cpg::rational_number::factorial_table

Initial value:

{
          1ull
         ,1ull
         ,2ull
         ,6ull
         ,24ull
         ,120ull
         ,720ull
         ,5040ull
         ,40320ull
         ,362880ull
         ,3628800ull
         ,39916800ull
         ,479001600ull
         ,6227020800ull
         ,87178291200ull
         ,1307674368000ull
         ,20922789888000ull
         ,355687428096000ull
         ,6402373705728000ull
         ,121645100408832000ull
         ,2432902008176640000ull
    }

Definition at line 5 of file permu_combi_table.cxx.

permutation_table

const std::vector<std::vector<unsigned long long> > cpg::rational_number::permutation_table

Definition at line 31 of file permu_combi_table.cxx.