#include <py2cpp/fractions.hpp>
template<typename Z>
fun::Fraction struct

Fraction.

Template parameters
Z

Public functions

auto Fraction(Z num, Z den) -> CONSTEXPR14
Construct a new Fraction object.
auto normalize() -> Z -> CONSTEXPR14 auto
normalize to a canonical form
auto normalize1() -> CONSTEXPR14 void
normalize to a canonical form
auto normalize2() -> Z -> CONSTEXPR14 auto
normalize to a canonical form
auto Fraction(Z&& num) -> CONSTEXPR14 explicit
Construct a new Fraction object.
auto Fraction(const Z& num) -> CONSTEXPR14 explicit
Construct a new Fraction object.
auto Fraction() -> CONSTEXPR14
Construct a new Fraction object.
auto num() const noexcept -> const Z & -> CONSTEXPR14 auto
auto den() const noexcept -> const Z & -> CONSTEXPR14 auto
auto cross(const Fraction& rhs) const -> Z -> CONSTEXPR14 auto
cross product
auto reciprocal() -> CONSTEXPR14 void
reciprocal
auto operator*=(Fraction rhs) -> Fraction & -> CONSTEXPR14 auto
multiply and assign
auto operator*=(Z rhs) -> Fraction & -> CONSTEXPR14 auto
multiply and assign
auto operator/=(Fraction rhs) -> Fraction & -> CONSTEXPR14 auto
divide and assign
auto operator/=(Z rhs) -> Fraction & -> CONSTEXPR14 auto
divide and assign
auto operator-() const -> Fraction -> CONSTEXPR14 auto
Negate.
auto operator+(const Fraction& rhs) const -> Fraction -> CONSTEXPR14 auto
Add.
auto operator-(const Fraction& frac) const -> Fraction -> CONSTEXPR14 auto
Subtract.
auto operator-(const Z& i) const -> Fraction -> CONSTEXPR14 auto
auto operator+=(const Fraction& rhs) -> Fraction & -> CONSTEXPR14 auto
auto operator-=(const Fraction& rhs) -> Fraction & -> CONSTEXPR14 auto
auto operator+=(const Z& i) -> Fraction & -> CONSTEXPR14 auto
auto operator-=(const Z& rhs) -> Fraction & -> CONSTEXPR14 auto

Public variables

Z _num
Z _den

Comparison operators

==, !=, <, >, <=, >= etc.

auto operator!=(const Fraction& rhs) const -> bool -> CONSTEXPR14 auto
auto operator>(const Fraction& rhs) const -> bool -> CONSTEXPR14 auto
Greater than.
auto operator>=(const Fraction& rhs) const -> bool -> CONSTEXPR14 auto
Greater than or euqal to.
auto operator<=(const Fraction& rhs) const -> bool -> CONSTEXPR14 auto
Less than or equal to.
auto operator>(const Z& rhs) const -> bool -> CONSTEXPR14 auto
Greater than.
auto operator<=(const Z& rhs) const -> bool -> CONSTEXPR14 auto
Less than or equal to.
auto operator>=(const Z& rhs) const -> bool -> CONSTEXPR14 auto
Greater than or equal to.
auto operator==(const Fraction& lhs, const Z& rhs) -> bool -> CONSTEXPR14 auto
Equal to.
auto operator<(const Fraction& lhs, const Z& rhs) -> bool -> CONSTEXPR14 auto
Less than.
auto operator<(const Z& lhs, const Fraction& rhs) -> bool -> CONSTEXPR14 auto
Less than.
auto operator==(const Z& lhs, const Fraction& rhs) -> bool -> CONSTEXPR14 auto
Equal to.
auto operator==(const Fraction& lhs, const Fraction& rhs) -> bool -> CONSTEXPR14 auto
Equal to.
auto operator<(const Fraction& lhs, const Fraction& rhs) -> bool -> CONSTEXPR14 auto
Less than.
auto operator>(const Z& lhs, const Fraction& rhs) -> bool -> CONSTEXPR14 auto
Greater than.
auto operator<=(const Z& lhs, const Fraction& rhs) -> bool -> CONSTEXPR14 auto
Less than or equal to.
auto operator>=(const Z& lhs, const Fraction& rhs) -> bool -> CONSTEXPR14 auto
Greater than or euqal to.

Friends

auto operator*(Fraction lhs, const Fraction& rhs) -> Fraction -> CONSTEXPR14 auto
multiply
auto operator*(Fraction lhs, const Z& rhs) -> Fraction -> CONSTEXPR14 auto
multiply
auto operator*(const Z& lhs, Fraction rhs) -> Fraction -> CONSTEXPR14 auto
multiply
auto operator/(Fraction lhs, const Fraction& rhs) -> Fraction -> CONSTEXPR14 auto
divide
auto operator/(Fraction lhs, const Z& rhs) -> Fraction -> CONSTEXPR14 auto
divide
auto operator/(const Z& lhs, Fraction rhs) -> Fraction -> CONSTEXPR14 auto
divide
auto operator+(Fraction frac, const Z& i) -> Fraction -> CONSTEXPR14 auto
Add.
auto operator+(const Z& i, Fraction frac) -> Fraction -> CONSTEXPR14 auto
Add.
auto operator-(const Z& c, const Fraction& frac) -> Fraction -> CONSTEXPR14 auto
auto operator+(int&& c, const Fraction& frac) -> Fraction -> CONSTEXPR14 auto
auto operator-(int&& c, const Fraction& frac) -> Fraction -> CONSTEXPR14 auto
auto operator*(int&& c, const Fraction& frac) -> Fraction -> CONSTEXPR14 auto
template<typename _Stream>
auto operator<<(_Stream& os, const Fraction& frac) -> _Stream & -> auto

Function documentation

template<typename Z>
CONSTEXPR14 fun::Fraction<Z>::Fraction(Z num, Z den)

Construct a new Fraction object.

Parameters
num in
den in

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::normalize() -> Z

normalize to a canonical form

denominator is always non-negative and co-prime with numerator

template<typename Z>
CONSTEXPR14 void fun::Fraction<Z>::normalize1()

normalize to a canonical form

denominator is always non-negative

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::normalize2() -> Z

normalize to a canonical form

denominator is always co-prime with numerator

template<typename Z>
CONSTEXPR14 fun::Fraction<Z>::Fraction(Z&& num) explicit

Construct a new Fraction object.

Parameters
num in

template<typename Z>
CONSTEXPR14 fun::Fraction<Z>::Fraction(const Z& num) explicit

Construct a new Fraction object.

Parameters
num in

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::num() const noexcept -> const Z &

Returns const Z&

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::den() const noexcept -> const Z &

Returns const Z&

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::cross(const Fraction& rhs) const -> Z

cross product

Parameters
rhs in
Returns Z

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator*=(Fraction rhs) -> Fraction &

multiply and assign

Parameters
rhs in
Returns Fraction&

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator*=(Z rhs) -> Fraction &

multiply and assign

Parameters
rhs in
Returns Fraction&

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator/=(Fraction rhs) -> Fraction &

divide and assign

Parameters
rhs in
Returns Fraction&

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator/=(Z rhs) -> Fraction &

divide and assign

Parameters
rhs in
Returns Fraction&

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator-() const -> Fraction

Negate.

Returns Fraction

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator+(const Fraction& rhs) const -> Fraction

Add.

Parameters
rhs in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator-(const Fraction& frac) const -> Fraction

Subtract.

Parameters
frac in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator-(const Z& i) const -> Fraction

Parameters
i in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator+=(const Fraction& rhs) -> Fraction &

Parameters
rhs in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator-=(const Fraction& rhs) -> Fraction &

Parameters
rhs in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator+=(const Z& i) -> Fraction &

Parameters
i in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator-=(const Z& rhs) -> Fraction &

Parameters
rhs in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator!=(const Fraction& rhs) const -> bool

Parameters
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator>(const Fraction& rhs) const -> bool

Greater than.

Parameters
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator>=(const Fraction& rhs) const -> bool

Greater than or euqal to.

Parameters
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator<=(const Fraction& rhs) const -> bool

Less than or equal to.

Parameters
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator>(const Z& rhs) const -> bool

Greater than.

Parameters
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator<=(const Z& rhs) const -> bool

Less than or equal to.

Parameters
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator>=(const Z& rhs) const -> bool

Greater than or equal to.

Parameters
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator==(const Fraction& lhs, const Z& rhs) -> bool

Equal to.

Parameters
lhs in
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator<(const Fraction& lhs, const Z& rhs) -> bool

Less than.

Parameters
lhs in
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator<(const Z& lhs, const Fraction& rhs) -> bool

Less than.

Parameters
lhs in
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator==(const Z& lhs, const Fraction& rhs) -> bool

Equal to.

Parameters
lhs in
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator==(const Fraction& lhs, const Fraction& rhs) -> bool

Equal to.

Parameters
lhs in
rhs in
Returns true

Equal to

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator<(const Fraction& lhs, const Fraction& rhs) -> bool

Less than.

Parameters
lhs in
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator>(const Z& lhs, const Fraction& rhs) -> bool

Greater than.

Parameters
lhs in
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator<=(const Z& lhs, const Fraction& rhs) -> bool

Less than or equal to.

Parameters
lhs in
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto fun::Fraction<Z>::operator>=(const Z& lhs, const Fraction& rhs) -> bool

Greater than or euqal to.

Parameters
lhs in
rhs in
Returns true

template<typename Z>
CONSTEXPR14 auto operator*(Fraction lhs, const Fraction& rhs) -> Fraction

multiply

Parameters
lhs in
rhs in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator*(Fraction lhs, const Z& rhs) -> Fraction

multiply

Parameters
lhs in
rhs in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator*(const Z& lhs, Fraction rhs) -> Fraction

multiply

Parameters
lhs in
rhs in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator/(Fraction lhs, const Fraction& rhs) -> Fraction

divide

Parameters
lhs in
rhs in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator/(Fraction lhs, const Z& rhs) -> Fraction

divide

Parameters
lhs in
rhs in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator/(const Z& lhs, Fraction rhs) -> Fraction

divide

Parameters
lhs in
rhs in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator+(Fraction frac, const Z& i) -> Fraction

Add.

Parameters
frac in
i in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator+(const Z& i, Fraction frac) -> Fraction

Add.

Parameters
i in
frac in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator-(const Z& c, const Fraction& frac) -> Fraction

Parameters
c in
frac in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator+(int&& c, const Fraction& frac) -> Fraction

Parameters
c in
frac in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator-(int&& c, const Fraction& frac) -> Fraction

Parameters
c in
frac in
Returns Fraction

template<typename Z>
CONSTEXPR14 auto operator*(int&& c, const Fraction& frac) -> Fraction

Parameters
c in
frac in
Returns Fraction<Z>

template<typename Z> template<typename _Stream>
auto operator<<(_Stream& os, const Fraction& frac) -> _Stream &

Template parameters
_Stream
Parameters
os in
frac in
Returns _Stream&