Template Struct Fraction¶

Defined in File fractions-new.hpp

Page Contents

Inheritance Relationships
- Base Type
Template Parameter Order
Struct Documentation

Inheritance Relationships¶

Base Type¶

public boost::totally_ordered< Fraction< Z >, boost::totally_ordered2< Fraction< Z >, Z, boost::multipliable2< Fraction< Z >, Z, boost::dividable2< Fraction< Z >, Z > > > >

Template Parameter Order¶

typename Z

Struct Documentation¶

template<typename Z> struct Fraction : public boost::totally_ordered<Fraction<Z>, boost::totally_ordered2<Fraction<Z>, Z, boost::multipliable2<Fraction<Z>, Z, boost::dividable2<Fraction<Z>, Z>>>>¶

Public Types

using _Self = Fraction<Z>¶

Public Functions

inline constexpr Fraction(const Z &numerator, const Z &denominator)¶

Construct a new Fraction object.

Parameters

numerator – [in]
denominator – [in]

inline explicit constexpr Fraction(const Z &numerator)¶

Construct a new Fraction object.

Parameters: numerator – [in]

constexpr Fraction() = default¶: Construct a new Fraction object.

inline constexpr const Z &numerator() const¶

Returns: const Z&

inline constexpr const Z &denominator() const¶

Returns: const Z&

inline constexpr _Self abs() const¶

Returns: _Self

inline constexpr void reciprocal()¶

inline constexpr _Self operator-() const¶

Returns: _Self

inline constexpr _Self operator+(const _Self &frac) const¶

Parameters: frac – [in]
Returns: _Self

inline constexpr _Self operator-(const _Self &frac) const¶

Parameters: frac – [in]
Returns: _Self

inline constexpr _Self operator*(const _Self &frac) const¶

Parameters: frac – [in]
Returns: _Self

inline constexpr _Self operator/(_Self frac) const¶

Parameters: frac – [in]
Returns: _Self

inline constexpr _Self operator+(const Z &i) const¶

Parameters: i – [in]
Returns: _Self

inline constexpr _Self operator-(const Z &i) const¶

Parameters: i – [in]
Returns: _Self

inline constexpr _Self operator*(const Z &i) const¶

Parameters: i – [in]
Returns: _Self

inline constexpr _Self operator/(const Z &i) const¶

Parameters: i – [in]
Returns: _Self

inline constexpr _Self operator+=(const _Self &frac)¶

Parameters: frac – [in]
Returns: _Self

inline constexpr _Self operator-=(const _Self &frac)¶

Parameters: frac – [in]
Returns: _Self

inline constexpr _Self operator*=(const _Self &frac)¶

Parameters: frac – [in]
Returns: _Self

inline constexpr _Self operator/=(const _Self &frac)¶

Parameters: frac – [in]
Returns: _Self

inline constexpr _Self operator+=(const Z &i)¶

Parameters: i – [in]
Returns: _Self

inline constexpr _Self operator-=(const Z &i)¶

Parameters: i – [in]
Returns: _Self

inline constexpr _Self operator*=(const Z &i)¶

Parameters: i – [in]
Returns: _Self

inline constexpr _Self operator/=(const Z &i)¶

Parameters: i – [in]
Returns: _Self

template<typename U> inline constexpr auto cmp(const Fraction &frac) const¶

Three way comparison.

Parameters: frac – [in]
Returns: auto

template<typename U> inline constexpr bool operator==(const Fraction &frac) const¶

Template Parameters: U –
Parameters: frac – [in]
Returns: true
Returns: false

template<typename U> inline constexpr bool operator!=(const Fraction &frac) const¶

Template Parameters: U –
Parameters: frac – [in]
Returns: true
Returns: false

template<typename U> inline constexpr bool operator<(const Fraction &frac) const¶

Template Parameters: U –
Parameters: frac – [in]
Returns: true
Returns: false

template<typename U> inline constexpr bool operator>(const Fraction &frac) const¶

Template Parameters: U –
Parameters: frac – [in]
Returns: true
Returns: false

template<typename U> inline constexpr bool operator<=(const Fraction &frac) const¶

Template Parameters: U –
Parameters: frac – [in]
Returns: true
Returns: false

template<typename U> inline constexpr bool operator>=(const Fraction &frac) const¶

Template Parameters: U –
Parameters: frac – [in]
Returns: true
Returns: false

inline constexpr auto cmp(const Z &c) const¶

Parameters: c – [in]
Returns: auto

inline constexpr bool operator==(const Z &c) const¶

Parameters: c – [in]
Returns: true
Returns: false

inline constexpr bool operator!=(const Z &c) const¶

Parameters: c – [in]
Returns: true
Returns: false

inline constexpr bool operator<(const Z &c) const¶

Parameters: c – [in]
Returns: true
Returns: false

inline constexpr bool operator>(const Z &c) const¶

Parameters: c – [in]
Returns: true
Returns: false

inline constexpr bool operator<=(const Z &c) const¶

Parameters: c – [in]
Returns: true
Returns: false

inline constexpr bool operator>=(const Z &c) const¶

Parameters: c – [in]
Returns: true
Returns: false

inline explicit constexpr operator double()¶

Returns: double

inline constexpr Fraction(Z &&numerator, Z &&denominator) noexcept¶

Construct a new Fraction object.

Parameters

numerator – [in]
denominator – [in]

inline constexpr Fraction(const Z &numerator, const Z &denominator)

Construct a new Fraction object.

Parameters

numerator – [in]
denominator – [in]

inline constexpr void normalize()¶

inline explicit constexpr Fraction(Z &&numerator) noexcept¶

Construct a new Fraction object.

Parameters: numerator – [in]

inline explicit constexpr Fraction(const Z &numerator)

Construct a new Fraction object.

Parameters: numerator – [in]

inline constexpr auto numerator() const -> const Z&

Returns: const Z&

inline constexpr auto denominator() const -> const Z&

Returns: const Z&

inline constexpr auto abs() const -> Fraction

Returns: Fraction

inline constexpr void reciprocal()

inline constexpr auto operator-() const -> Fraction

Returns: Fraction

inline constexpr auto operator+(const Fraction &frac) const -> Fraction ¶

Parameters: frac – [in]
Returns: Fraction

inline constexpr auto operator-(const Fraction &frac) const -> Fraction ¶

Parameters: frac – [in]
Returns: Fraction

inline constexpr auto operator*(const Fraction &frac) const -> Fraction ¶

Parameters: frac – [in]
Returns: Fraction

inline constexpr auto operator/(Fraction frac) const -> Fraction ¶

Parameters: frac – [in]
Returns: Fraction

inline constexpr auto operator+(const Z &i) const -> Fraction

Parameters: i – [in]
Returns: Fraction

inline constexpr auto operator-(const Z &i) const -> Fraction

Parameters: i – [in]
Returns: Fraction

inline constexpr auto operator+=(const Fraction &frac) -> Fraction&¶

Parameters

i – [in]
i – [in]
frac – [in]

Returns

Fraction

Returns

Fraction

Returns

Fraction

inline constexpr auto operator-=(const Fraction &frac) -> Fraction&¶

Parameters: frac – [in]
Returns: Fraction

inline constexpr auto operator*=(const Fraction &frac) -> Fraction&¶

Parameters: frac – [in]
Returns: Fraction

inline constexpr auto operator/=(const Fraction &frac) -> Fraction&¶

Parameters: frac – [in]
Returns: Fraction

inline constexpr auto operator+=(const Z &i) -> Fraction&

Parameters: i – [in]
Returns: Fraction

inline constexpr auto operator-=(const Z &i) -> Fraction&

Parameters: i – [in]
Returns: Fraction

inline constexpr auto operator*=(const Z &i) -> Fraction&

Parameters: i – [in]
Returns: Fraction

inline constexpr auto operator/=(const Z &i) -> Fraction&

Parameters: i – [in]
Returns: Fraction

template<typename U> inline constexpr auto cmp(const Fraction &frac) const

Three way comparison.

Parameters: frac – [in]
Returns: auto

inline constexpr auto operator==(const Fraction<Z> &rhs) const -> bool¶

inline constexpr auto operator<(const Fraction<Z> &rhs) const -> bool¶

inline constexpr auto operator==(const Z &rhs) const -> bool

inline constexpr auto operator<(const Z &rhs) const -> bool

inline constexpr auto operator>(const Z &rhs) const -> bool

Public Members

Z _numerator¶

Z _denominator¶

Friends

inline friend constexpr _Self operator+(const Z &c, const _Self &frac)¶

Parameters

c – [in]
frac – [in]

Returns

Fraction<Z>

inline friend constexpr _Self operator-(const Z &c, const _Self &frac)¶

Parameters

c – [in]
frac – [in]

Returns

Fraction<Z>

inline friend constexpr _Self operator*(const Z &c, const _Self &frac)¶

Parameters

c – [in]
frac – [in]

Returns

Fraction<Z>

inline friend constexpr _Self operator+(int &&c, const _Self &frac)¶

Parameters

c – [in]
frac – [in]
c – [in]
frac – [in]
c – [in]
frac – [in]

Returns

Fraction<Z>

Returns

Fraction<Z>

Returns

Fraction<Z>

inline friend constexpr _Self operator-(int &&c, const _Self &frac)¶

Parameters

c – [in]
frac – [in]

Returns

Fraction<Z>

inline friend constexpr _Self operator*(int &&c, const _Self &frac)¶

Parameters

c – [in]
frac – [in]

Returns

Fraction<Z>

template<typename _Stream> inline friend _Stream &operator<<(_Stream &os, const _Self &frac)¶

Template Parameters

_Stream –
Z –

Parameters

os – [in]
frac – [in]

Returns

_Stream&