#include <cpg_rational.hpp>

Collaboration diagram for cpg::rational_number::rational< ElementType >:

Public Types
using	value_type = ElementType

Public Member Functions
constexpr void	reduce () noexcept

constexpr	rational () noexcept=default

constexpr	rational (ElementType numerator) noexcept

constexpr	rational (ElementType numerator, ElementType denominator, bool DoNotReduce=false) noexcept

constexpr rational	abs () const noexcept

template<typename Type = ElementType>
Type	mag () const noexcept

template<typename Type = ElementType>
Type	abs_mag () const noexcept

constexpr	~rational ()

constexpr bool	valid () const noexcept

constexpr	operator bool () const noexcept

constexpr bool	operator! () const noexcept

constexpr const ElementType &	num () const noexcept

constexpr const ElementType &	den () const noexcept

constexpr ElementType	num (ElementType new_value, bool DoNotReduce=false) noexcept

constexpr ElementType	den (ElementType new_value, bool DoNotReduce=false) noexcept

constexpr rational	operator() (ElementType numerator, ElementType denominator, bool DoNotReduce=false) noexcept

constexpr void	set (ElementType numerator, ElementType denominator, bool DoNotReduce=false) noexcept

constexpr const rational &	operator++ () noexcept

constexpr const rational &	operator-- () noexcept

constexpr rational	operator++ (int) noexcept

constexpr rational	operator-- (int) noexcept

template<number_c Type = long long>
constexpr	operator Type () const noexcept

template<allowed_type_c TargetType = ElementType, real_number_c RoundType = long double>
TargetType	round () const noexcept

constexpr rational	reciprocal () const noexcept

constexpr rational &	operator*= (const rational &rhs) noexcept

constexpr rational &	operator/= (const rational &rhs) noexcept

constexpr rational &	operator*= (ElementType rhs) noexcept

constexpr rational &	operator/= (ElementType rhs) noexcept

constexpr rational	inverse () const noexcept

constexpr rational	operator- () const noexcept

constexpr rational &	operator+= (const rational &rhs) noexcept

constexpr rational &	operator-= (const rational &rhs) noexcept

constexpr rational &	operator+= (ElementType rhs) noexcept

constexpr rational &	operator-= (ElementType rhs) noexcept

Public Attributes
ElementType	m_num = 0

ElementType	m_den = 1

Friends
constexpr std::strong_ordering	operator<=> (const rational &lhs, const rational &rhs)

constexpr std::strong_ordering	operator<=> (const rational &lhs, ElementType rhs) noexcept

constexpr bool	operator== (const rational &lhs, const rational &rhs) noexcept

constexpr bool	operator== (const rational &lhs, ElementType rhs) noexcept

constexpr rational	operator* (ElementType lhs, rational rhs) noexcept

constexpr rational	operator* (rational lhs, ElementType rhs) noexcept

constexpr rational	operator/ (ElementType lhs, const rational &rhs) noexcept

constexpr rational	operator/ (const rational &lhs, ElementType rhs) noexcept

constexpr rational	operator* (rational lhs, const rational &rhs) noexcept

constexpr rational	operator/ (rational lhs, const rational &rhs) noexcept

constexpr rational	operator+ (rational lhs, const rational &rhs) noexcept

constexpr rational	operator- (rational lhs, const rational &rhs) noexcept

constexpr rational	operator+ (ElementType lhs, rational rhs) noexcept

constexpr rational	operator- (ElementType lhs, const rational &rhs) noexcept

constexpr rational	operator+ (rational lhs, ElementType rhs) noexcept

constexpr rational	operator- (rational lhs, ElementType rhs) noexcept

template<typename CharType >
std::basic_ostream< CharType > &	operator<< (std::basic_ostream< CharType > &os, const rational &r) noexcept

Detailed Description

template<allowed_type_c ElementType>
class cpg::rational_number::rational< ElementType >

Definition at line 127 of file cpg_rational.hpp.

Member Typedef Documentation

◆ value_type

template<allowed_type_c ElementType>

using cpg::rational_number::rational< ElementType >::value_type = ElementType

Definition at line 131 of file cpg_rational.hpp.

Constructor & Destructor Documentation

◆ rational() [1/3]

template<allowed_type_c ElementType>

constexpr cpg::rational_number::rational< ElementType >::rational ( )

constexprdefaultnoexcept

◆ rational() [2/3]

template<allowed_type_c ElementType>

constexpr cpg::rational_number::rational< ElementType >::rational ( ElementType numerator )

inlineexplicitconstexprnoexcept

Definition at line 144 of file cpg_rational.hpp.

◆ rational() [3/3]

template<allowed_type_c ElementType>

constexpr cpg::rational_number::rational< ElementType >::rational	(	ElementType	numerator,
		ElementType	denominator,
		bool	DoNotReduce = `false`
	)

inlineconstexprnoexcept

Definition at line 147 of file cpg_rational.hpp.

◆ ~rational()

template<allowed_type_c ElementType>

constexpr cpg::rational_number::rational< ElementType >::~rational ( )

inlineconstexpr

Definition at line 193 of file cpg_rational.hpp.

Member Function Documentation

◆ abs()

template<allowed_type_c ElementType>

constexpr rational cpg::rational_number::rational< ElementType >::abs ( ) const

inlineconstexprnoexcept

Definition at line 155 of file cpg_rational.hpp.

◆ abs_mag()

template<allowed_type_c ElementType>

template<typename Type = ElementType>

Type cpg::rational_number::rational< ElementType >::abs_mag ( ) const

inlinenoexcept

Definition at line 178 of file cpg_rational.hpp.

◆ den() [1/2]

template<allowed_type_c ElementType>

constexpr const ElementType & cpg::rational_number::rational< ElementType >::den ( ) const

inlineconstexprnoexcept

Definition at line 221 of file cpg_rational.hpp.

◆ den() [2/2]

template<allowed_type_c ElementType>

constexpr ElementType cpg::rational_number::rational< ElementType >::den	(	ElementType	new_value,
		bool	DoNotReduce = `false`
	)

inlineconstexprnoexcept

Definition at line 241 of file cpg_rational.hpp.

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◆ inverse()

template<allowed_type_c ElementType>

constexpr rational cpg::rational_number::rational< ElementType >::inverse ( ) const

inlineconstexprnoexcept

Definition at line 523 of file cpg_rational.hpp.

◆ mag()

template<allowed_type_c ElementType>

template<typename Type = ElementType>

Type cpg::rational_number::rational< ElementType >::mag ( ) const

inlinenoexcept

Definition at line 162 of file cpg_rational.hpp.

◆ num() [1/2]

template<allowed_type_c ElementType>

constexpr const ElementType & cpg::rational_number::rational< ElementType >::num ( ) const

inlineconstexprnoexcept

Definition at line 215 of file cpg_rational.hpp.

◆ num() [2/2]

template<allowed_type_c ElementType>

constexpr ElementType cpg::rational_number::rational< ElementType >::num	(	ElementType	new_value,
		bool	DoNotReduce = `false`
	)

inlineconstexprnoexcept

Definition at line 228 of file cpg_rational.hpp.

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◆ operator bool()

template<allowed_type_c ElementType>

constexpr cpg::rational_number::rational< ElementType >::operator bool ( ) const

inlineconstexprnoexcept

Definition at line 203 of file cpg_rational.hpp.

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◆ operator Type()

template<allowed_type_c ElementType>

template<number_c Type = long long>

constexpr cpg::rational_number::rational< ElementType >::operator Type ( ) const

inlineconstexprnoexcept

Definition at line 315 of file cpg_rational.hpp.

◆ operator!()

template<allowed_type_c ElementType>

constexpr bool cpg::rational_number::rational< ElementType >::operator! ( ) const

inlineconstexprnoexcept

Definition at line 209 of file cpg_rational.hpp.

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◆ operator()()

template<allowed_type_c ElementType>

constexpr rational cpg::rational_number::rational< ElementType >::operator()	(	ElementType	numerator,
		ElementType	denominator,
		bool	DoNotReduce = `false`
	)

inlineconstexprnoexcept

Definition at line 254 of file cpg_rational.hpp.

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◆ operator*=() [1/2]

template<allowed_type_c ElementType>

constexpr rational & cpg::rational_number::rational< ElementType >::operator*= ( const rational< ElementType > & rhs )

inlineconstexprnoexcept

Definition at line 423 of file cpg_rational.hpp.

◆ operator*=() [2/2]

template<allowed_type_c ElementType>

constexpr rational & cpg::rational_number::rational< ElementType >::operator*= ( ElementType rhs )

inlineconstexprnoexcept

Definition at line 445 of file cpg_rational.hpp.

◆ operator++() [1/2]

template<allowed_type_c ElementType>

constexpr const rational & cpg::rational_number::rational< ElementType >::operator++ ( )

inlineconstexprnoexcept

Definition at line 281 of file cpg_rational.hpp.

◆ operator++() [2/2]

template<allowed_type_c ElementType>

constexpr rational cpg::rational_number::rational< ElementType >::operator++ ( int )

inlineconstexprnoexcept

Definition at line 297 of file cpg_rational.hpp.

◆ operator+=() [1/2]

template<allowed_type_c ElementType>

constexpr rational & cpg::rational_number::rational< ElementType >::operator+= ( const rational< ElementType > & rhs )

inlineconstexprnoexcept

Definition at line 534 of file cpg_rational.hpp.

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◆ operator+=() [2/2]

template<allowed_type_c ElementType>

constexpr rational & cpg::rational_number::rational< ElementType >::operator+= ( ElementType rhs )

inlineconstexprnoexcept

Definition at line 615 of file cpg_rational.hpp.

◆ operator-()

template<allowed_type_c ElementType>

constexpr rational cpg::rational_number::rational< ElementType >::operator- ( ) const

inlineconstexprnoexcept

Definition at line 529 of file cpg_rational.hpp.

◆ operator--() [1/2]

template<allowed_type_c ElementType>

constexpr const rational & cpg::rational_number::rational< ElementType >::operator-- ( )

inlineconstexprnoexcept

Definition at line 289 of file cpg_rational.hpp.

◆ operator--() [2/2]

template<allowed_type_c ElementType>

constexpr rational cpg::rational_number::rational< ElementType >::operator-- ( int )

inlineconstexprnoexcept

Definition at line 307 of file cpg_rational.hpp.

◆ operator-=() [1/2]

template<allowed_type_c ElementType>

constexpr rational & cpg::rational_number::rational< ElementType >::operator-= ( const rational< ElementType > & rhs )

inlineconstexprnoexcept

Definition at line 568 of file cpg_rational.hpp.

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◆ operator-=() [2/2]

template<allowed_type_c ElementType>

constexpr rational & cpg::rational_number::rational< ElementType >::operator-= ( ElementType rhs )

inlineconstexprnoexcept

Definition at line 634 of file cpg_rational.hpp.

◆ operator/=() [1/2]

template<allowed_type_c ElementType>

constexpr rational & cpg::rational_number::rational< ElementType >::operator/= ( const rational< ElementType > & rhs )

inlineconstexprnoexcept

Definition at line 440 of file cpg_rational.hpp.

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◆ operator/=() [2/2]

template<allowed_type_c ElementType>

constexpr rational & cpg::rational_number::rational< ElementType >::operator/= ( ElementType rhs )

inlineconstexprnoexcept

Definition at line 472 of file cpg_rational.hpp.

◆ reciprocal()

template<allowed_type_c ElementType>

constexpr rational cpg::rational_number::rational< ElementType >::reciprocal ( ) const

inlineconstexprnoexcept

Definition at line 402 of file cpg_rational.hpp.

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◆ reduce()

template<allowed_type_c ElementType>

constexpr void cpg::rational_number::rational< ElementType >::reduce ( )

inlineconstexprnoexcept

Definition at line 136 of file cpg_rational.hpp.

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◆ round()

template<allowed_type_c ElementType>

template<allowed_type_c TargetType = ElementType, real_number_c RoundType = long double>

TargetType cpg::rational_number::rational< ElementType >::round ( ) const

inlinenoexcept

Definition at line 322 of file cpg_rational.hpp.

◆ set()

template<allowed_type_c ElementType>

constexpr void cpg::rational_number::rational< ElementType >::set	(	ElementType	numerator,
		ElementType	denominator,
		bool	DoNotReduce = `false`
	)

inlineconstexprnoexcept

Definition at line 268 of file cpg_rational.hpp.

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◆ valid()

template<allowed_type_c ElementType>

constexpr bool cpg::rational_number::rational< ElementType >::valid ( ) const

inlineconstexprnoexcept

Definition at line 197 of file cpg_rational.hpp.

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Friends And Related Function Documentation

◆ operator* [1/3]

template<allowed_type_c ElementType>

constexpr rational operator*	(	ElementType	lhs,
		rational< ElementType >	rhs
	)

friend

Definition at line 461 of file cpg_rational.hpp.

◆ operator* [2/3]

template<allowed_type_c ElementType>

constexpr rational operator*	(	rational< ElementType >	lhs,
		const rational< ElementType > &	rhs
	)

friend

Definition at line 509 of file cpg_rational.hpp.

◆ operator* [3/3]

template<allowed_type_c ElementType>

constexpr rational operator*	(	rational< ElementType >	lhs,
		ElementType	rhs
	)

friend

Definition at line 467 of file cpg_rational.hpp.

◆ operator+ [1/3]

template<allowed_type_c ElementType>

constexpr rational operator+	(	ElementType	lhs,
		rational< ElementType >	rhs
	)

friend

Definition at line 654 of file cpg_rational.hpp.

◆ operator+ [2/3]

template<allowed_type_c ElementType>

constexpr rational operator+	(	rational< ElementType >	lhs,
		const rational< ElementType > &	rhs
	)

friend

Definition at line 604 of file cpg_rational.hpp.

◆ operator+ [3/3]

template<allowed_type_c ElementType>

constexpr rational operator+	(	rational< ElementType >	lhs,
		ElementType	rhs
	)

friend

Definition at line 674 of file cpg_rational.hpp.

◆ operator- [1/3]

template<allowed_type_c ElementType>

constexpr rational operator-	(	ElementType	lhs,
		const rational< ElementType > &	rhs
	)

friend

Definition at line 660 of file cpg_rational.hpp.

◆ operator- [2/3]

template<allowed_type_c ElementType>

constexpr rational operator-	(	rational< ElementType >	lhs,
		const rational< ElementType > &	rhs
	)

friend

Definition at line 610 of file cpg_rational.hpp.

◆ operator- [3/3]

template<allowed_type_c ElementType>

constexpr rational operator-	(	rational< ElementType >	lhs,
		ElementType	rhs
	)

friend

Definition at line 680 of file cpg_rational.hpp.

◆ operator/ [1/3]

template<allowed_type_c ElementType>

constexpr rational operator/	(	const rational< ElementType > &	lhs,
		ElementType	rhs
	)

friend

Definition at line 494 of file cpg_rational.hpp.

◆ operator/ [2/3]

template<allowed_type_c ElementType>

constexpr rational operator/	(	ElementType	lhs,
		const rational< ElementType > &	rhs
	)

friend

Definition at line 487 of file cpg_rational.hpp.

◆ operator/ [3/3]

template<allowed_type_c ElementType>

constexpr rational operator/	(	rational< ElementType >	lhs,
		const rational< ElementType > &	rhs
	)

friend

Definition at line 515 of file cpg_rational.hpp.

◆ operator<<

template<allowed_type_c ElementType>

template<typename CharType >

std::basic_ostream< CharType > & operator<<	(	std::basic_ostream< CharType > &	os,
		const rational< ElementType > &	r
	)

friend

Definition at line 686 of file cpg_rational.hpp.

◆ operator<=> [1/2]

template<allowed_type_c ElementType>

constexpr std::strong_ordering operator<=>	(	const rational< ElementType > &	lhs,
		const rational< ElementType > &	rhs
	)

friend

Definition at line 328 of file cpg_rational.hpp.

◆ operator<=> [2/2]

template<allowed_type_c ElementType>

constexpr std::strong_ordering operator<=>	(	const rational< ElementType > &	lhs,
		ElementType	rhs
	)

friend

Definition at line 378 of file cpg_rational.hpp.

◆ operator== [1/2]

template<allowed_type_c ElementType>

constexpr bool operator==	(	const rational< ElementType > &	lhs,
		const rational< ElementType > &	rhs
	)

friend

Definition at line 384 of file cpg_rational.hpp.

◆ operator== [2/2]

template<allowed_type_c ElementType>

constexpr bool operator==	(	const rational< ElementType > &	lhs,
		ElementType	rhs
	)

friend

Definition at line 393 of file cpg_rational.hpp.

Member Data Documentation

◆ m_den

template<allowed_type_c ElementType>

ElementType cpg::rational_number::rational< ElementType >::m_den = 1

Definition at line 134 of file cpg_rational.hpp.

◆ m_num

template<allowed_type_c ElementType>

ElementType cpg::rational_number::rational< ElementType >::m_num = 0

Definition at line 133 of file cpg_rational.hpp.

The documentation for this class was generated from the following file:

D:/DevSoft/CppExtensionRoot/CppExtension/include/cpg/cpg_rational.hpp

Public Types

Public Member Functions

Public Attributes

Friends

Detailed Description

Member Typedef Documentation

◆ value_type

Constructor & Destructor Documentation

◆ rational() [1/3]

◆ rational() [2/3]

◆ rational() [3/3]

◆ ~rational()

Member Function Documentation

◆ abs()

◆ abs_mag()

◆ den() [1/2]

◆ den() [2/2]

◆ inverse()

◆ mag()

◆ num() [1/2]

◆ num() [2/2]

◆ operator bool()

◆ operator Type()

◆ operator!()

◆ operator()()

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator++() [1/2]

◆ operator++() [2/2]

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-()

◆ operator--() [1/2]

◆ operator--() [2/2]

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator/=() [1/2]

◆ operator/=() [2/2]

◆ reciprocal()

◆ reduce()

◆ round()

◆ set()

◆ valid()

Friends And Related Function Documentation

◆ operator* [1/3]

◆ operator* [2/3]

◆ operator* [3/3]

◆ operator+ [1/3]

◆ operator+ [2/3]

◆ operator+ [3/3]

◆ operator- [1/3]

◆ operator- [2/3]

◆ operator- [3/3]

◆ operator/ [1/3]

◆ operator/ [2/3]

◆ operator/ [3/3]

◆ operator<<

◆ operator<=> [1/2]

◆ operator<=> [2/2]

◆ operator== [1/2]

◆ operator== [2/2]

Member Data Documentation

◆ m_den

◆ m_num