Struct rational::Rational

pub struct Rational { /* private fields */ }

A rational number (a fraction of two integers).

Implementations

impl Rational

pub fn new<N, D>(numerator: N, denominator: D) -> Selfwhere
    Self: From<N> + From<D>,

Construct a new Rational.

Panics

• If the resulting denominator is 0.

pub fn new_checked<N, D>(numerator: N, denominator: D) -> Option<Self>where
    Self: From<N> + From<D>,

Construct a new Rational, returning None if the denominator is 0.

pub fn from_mixed<T>(whole: i128, fract: T) -> Selfwhere
    Self: From<T>,

Create a Rational from a mixed fraction.

Example

assert_eq!(Rational::from_mixed(1, (1, 2)), Rational::new(3, 2));
assert_eq!(Rational::from_mixed(-1, (-1, 2)), Rational::new(-3, 2));

pub fn integer(n: i128) -> Self

Shorthand for creating an integer Rational, eg. 5/1.

Example

assert_eq!(Rational::integer(5), Rational::new(5, 1));

pub fn zero() -> Self

Shorthand for 0/1.

pub fn one() -> Self

Shorthand for 1/1.

pub fn numerator(&self) -> i128

Get the numerator in this Rational.

Example

let r = Rational::new(4, 6);
assert_eq!(r.numerator(), 2); // `r` has been reduced to 2/3

pub fn set_numerator(&mut self, numerator: i128)

Set the numerator of this Rational. It is then automatically reduced.

Example

let mut r = Rational::new(4, 5);
r.set_numerator(10);
assert_eq!(r, Rational::new(2, 1)); // 10/5 reduces to 2/1

pub fn denominator(&self) -> i128

Get the denominator in this Rational.

Example

let r = Rational::new(4, 6);
assert_eq!(r.denominator(), 3); // `r` has been reduced to 2/3

pub fn set_denominator(&mut self, denominator: i128)

Set the denominator of this Rational. It is then automatically reduced.

Panics

• If denominator is 0.

Example

let mut r = Rational::new(4, 5);
r.set_denominator(6);
assert_eq!(r, Rational::new(2, 3));

pub fn inverse_checked(self) -> Option<Self>

Returns the inverse of this Rational, or None if the denominator of the inverse is 0.

pub fn inverse(self) -> Self

Returns the inverse of this Rational.

Panics

• If the numerator is 0, since then the inverse will be divided by 0.

pub fn decimal_value(self) -> f64

Returns the decimal value of this Rational. Equivalent to f64::from(self).

pub fn checked_add<T>(self, other: T) -> Option<Self>where
    Self: From<T>,

pub fn checked_mul<T>(self, other: T) -> Option<Self>where
    Self: From<T>,

pub fn checked_sub<T>(self, other: T) -> Option<Self>where
    Self: From<T>,

pub fn checked_div<T>(self, other: T) -> Option<Self>where
    Self: From<T>,

pub fn pow(self, exp: i32) -> Self

Raises self to the power of exp.

Notes

Unlike the pow methods in std, this supports negative exponents, returning the inverse of the result. The exponent still needs to be an integer, since a rational number raised to the power of another rational number may be irrational.

Panics

• If the numerator is 0 and exp is negative (since a negative exponent will result in an inversed fraction).

Example

assert_eq!(Rational::new(2, 3).pow(2), Rational::new(4, 9));
assert_eq!(Rational::new(1, 4).pow(-2), Rational::new(16, 1));

pub fn checked_pow(self, exp: i32) -> Option<Self>

pub fn abs(self) -> Self

Computes the absolute value of self.

Example

assert_eq!(Rational::new(-5, 3).abs(), Rational::new(5, 3));

pub fn is_integer(&self) -> bool

Returns true if self is an integer. This is a shorthand for self.denominator() == 1.

Example

assert!(Rational::new(2, 1).is_integer());
assert!(!Rational::new(1, 2).is_integer());

pub fn is_negative(&self) -> bool

Returns true if self is negative.

Example

assert!(Rational::new(-1, 2).is_negative());
assert!(Rational::new(1, -2).is_negative());
assert!(!Rational::new(1, 2).is_negative());

pub fn mixed_fraction(self) -> (i128, Self)

Returns a tuple representing self as a mixed fraction.

Notes

The result is a tuple (whole: i128, fraction: Rational), such that whole + fraction == self. This means that while you might write -7/2 as a mixed fraction: -3½, the result will be a tuple (-3, -1/2).

Example

assert_eq!(Rational::new(7, 3).mixed_fraction(), (2, Rational::new(1, 3)));
let (mixed, fract) = Rational::new(-7, 2).mixed_fraction();
assert_eq!((mixed, fract), (-3, Rational::new(-1, 2)));
assert_eq!(mixed + fract, Rational::new(-7, 2));

Trait Implementations

impl Add<Rational> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Self::Output

Performs the + operation.

impl Add<Rational> for i128

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Rational

Performs the + operation.

impl Add<Rational> for i16

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Rational

Performs the + operation.

impl Add<Rational> for i32

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Rational

Performs the + operation.

impl Add<Rational> for i64

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Rational

Performs the + operation.

impl Add<Rational> for i8

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Rational

Performs the + operation.

impl Add<Rational> for isize

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Rational

Performs the + operation.

impl Add<Rational> for u16

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Rational

Performs the + operation.

impl Add<Rational> for u32

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Rational

Performs the + operation.

impl Add<Rational> for u64

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Rational

Performs the + operation.

impl Add<Rational> for u8

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> Rational

Performs the + operation.

impl Add<i128> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: i128) -> Self

Performs the + operation.

impl Add<i16> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: i16) -> Self

Performs the + operation.

impl Add<i32> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: i32) -> Self

Performs the + operation.

impl Add<i64> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: i64) -> Self

Performs the + operation.

impl Add<i8> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: i8) -> Self

Performs the + operation.

impl Add<isize> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: isize) -> Self

Performs the + operation.

impl Add<u16> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: u16) -> Self

Performs the + operation.

impl Add<u32> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: u32) -> Self

Performs the + operation.

impl Add<u64> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: u64) -> Self

Performs the + operation.

impl Add<u8> for Rational

type Output = Rational

The resulting type after applying the + operator.

fn add(self, rhs: u8) -> Self

Performs the + operation.

impl AddAssign<Rational> for Rational

fn add_assign(&mut self, rhs: Rational)

Performs the += operation.

impl AddAssign<i128> for Rational

fn add_assign(&mut self, rhs: i128)

Performs the += operation.

impl AddAssign<i16> for Rational

fn add_assign(&mut self, rhs: i16)

Performs the += operation.

impl AddAssign<i32> for Rational

fn add_assign(&mut self, rhs: i32)

Performs the += operation.

impl AddAssign<i64> for Rational

fn add_assign(&mut self, rhs: i64)

Performs the += operation.

impl AddAssign<i8> for Rational

fn add_assign(&mut self, rhs: i8)

Performs the += operation.

impl AddAssign<isize> for Rational

fn add_assign(&mut self, rhs: isize)

Performs the += operation.

impl AddAssign<u16> for Rational

fn add_assign(&mut self, rhs: u16)

Performs the += operation.

impl AddAssign<u32> for Rational

fn add_assign(&mut self, rhs: u32)

Performs the += operation.

impl AddAssign<u64> for Rational

fn add_assign(&mut self, rhs: u64)

Performs the += operation.

impl AddAssign<u8> for Rational

fn add_assign(&mut self, rhs: u8)

Performs the += operation.

impl Clone for Rational

fn clone(&self) -> Rational

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Rational

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Display for Rational

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Div<Rational> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Self::Output

Performs the / operation.

impl Div<Rational> for i128

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Rational

Performs the / operation.

impl Div<Rational> for i16

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Rational

Performs the / operation.

impl Div<Rational> for i32

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Rational

Performs the / operation.

impl Div<Rational> for i64

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Rational

Performs the / operation.

impl Div<Rational> for i8

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Rational

Performs the / operation.

impl Div<Rational> for isize

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Rational

Performs the / operation.

impl Div<Rational> for u16

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Rational

Performs the / operation.

impl Div<Rational> for u32

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Rational

Performs the / operation.

impl Div<Rational> for u64

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Rational

Performs the / operation.

impl Div<Rational> for u8

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> Rational

Performs the / operation.

impl Div<i128> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: i128) -> Rational

Performs the / operation.

impl Div<i16> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: i16) -> Rational

Performs the / operation.

impl Div<i32> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: i32) -> Rational

Performs the / operation.

impl Div<i64> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: i64) -> Rational

Performs the / operation.

impl Div<i8> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: i8) -> Rational

Performs the / operation.

impl Div<isize> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: isize) -> Rational

Performs the / operation.

impl Div<u16> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: u16) -> Rational

Performs the / operation.

impl Div<u32> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: u32) -> Rational

Performs the / operation.

impl Div<u64> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: u64) -> Rational

Performs the / operation.

impl Div<u8> for Rational

type Output = Rational

The resulting type after applying the / operator.

fn div(self, rhs: u8) -> Rational

Performs the / operation.

impl DivAssign<Rational> for Rational

fn div_assign(&mut self, rhs: Rational)

Performs the /= operation.

impl DivAssign<i128> for Rational

fn div_assign(&mut self, rhs: i128)

Performs the /= operation.

impl DivAssign<i16> for Rational

fn div_assign(&mut self, rhs: i16)

Performs the /= operation.

impl DivAssign<i32> for Rational

fn div_assign(&mut self, rhs: i32)

Performs the /= operation.

impl DivAssign<i64> for Rational

fn div_assign(&mut self, rhs: i64)

Performs the /= operation.

impl DivAssign<i8> for Rational

fn div_assign(&mut self, rhs: i8)

Performs the /= operation.

impl DivAssign<isize> for Rational

fn div_assign(&mut self, rhs: isize)

Performs the /= operation.

impl DivAssign<u16> for Rational

fn div_assign(&mut self, rhs: u16)

Performs the /= operation.

impl DivAssign<u32> for Rational

fn div_assign(&mut self, rhs: u32)

Performs the /= operation.

impl DivAssign<u64> for Rational

fn div_assign(&mut self, rhs: u64)

Performs the /= operation.

impl DivAssign<u8> for Rational

fn div_assign(&mut self, rhs: u8)

Performs the /= operation.

impl<T, U> From<(T, U)> for Rationalwhere
    Self: From<T> + From<U>,

fn from((n, d): (T, U)) -> Self

Converts to this type from the input type.

impl From<Rational> for (i128, i128)

fn from(r: Rational) -> Self

Converts to this type from the input type.

impl From<Rational> for f64

fn from(rat: Rational) -> f64

Converts to this type from the input type.

impl From<i128> for Rational

fn from(v: i128) -> Self

Converts to this type from the input type.

impl From<i16> for Rational

fn from(v: i16) -> Self

Converts to this type from the input type.

impl From<i32> for Rational

fn from(v: i32) -> Self

Converts to this type from the input type.

impl From<i64> for Rational

fn from(v: i64) -> Self

Converts to this type from the input type.

impl From<i8> for Rational

fn from(v: i8) -> Self

Converts to this type from the input type.

impl From<isize> for Rational

fn from(v: isize) -> Self

Converts to this type from the input type.

impl From<u16> for Rational

fn from(v: u16) -> Self

Converts to this type from the input type.

impl From<u32> for Rational

fn from(v: u32) -> Self

Converts to this type from the input type.

impl From<u64> for Rational

fn from(v: u64) -> Self

Converts to this type from the input type.

impl From<u8> for Rational

fn from(v: u8) -> Self

Converts to this type from the input type.

impl Hash for Rational

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)where
    H: Hasher,
    Self: Sized,

Feeds a slice of this type into the given Hasher.

impl Mul<Rational> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Self::Output

Performs the * operation.

impl Mul<Rational> for i128

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Rational

Performs the * operation.

impl Mul<Rational> for i16

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Rational

Performs the * operation.

impl Mul<Rational> for i32

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Rational

Performs the * operation.

impl Mul<Rational> for i64

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Rational

Performs the * operation.

impl Mul<Rational> for i8

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Rational

Performs the * operation.

impl Mul<Rational> for isize

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Rational

Performs the * operation.

impl Mul<Rational> for u16

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Rational

Performs the * operation.

impl Mul<Rational> for u32

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Rational

Performs the * operation.

impl Mul<Rational> for u64

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Rational

Performs the * operation.

impl Mul<Rational> for u8

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> Rational

Performs the * operation.

impl Mul<i128> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: i128) -> Rational

Performs the * operation.

impl Mul<i16> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: i16) -> Rational

Performs the * operation.

impl Mul<i32> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: i32) -> Rational

Performs the * operation.

impl Mul<i64> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: i64) -> Rational

Performs the * operation.

impl Mul<i8> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: i8) -> Rational

Performs the * operation.

impl Mul<isize> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: isize) -> Rational

Performs the * operation.

impl Mul<u16> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: u16) -> Rational

Performs the * operation.

impl Mul<u32> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: u32) -> Rational

Performs the * operation.

impl Mul<u64> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: u64) -> Rational

Performs the * operation.

impl Mul<u8> for Rational

type Output = Rational

The resulting type after applying the * operator.

fn mul(self, rhs: u8) -> Rational

Performs the * operation.

impl MulAssign<Rational> for Rational

fn mul_assign(&mut self, rhs: Rational)

Performs the *= operation.

impl MulAssign<i128> for Rational

fn mul_assign(&mut self, rhs: i128)

Performs the *= operation.

impl MulAssign<i16> for Rational

fn mul_assign(&mut self, rhs: i16)

Performs the *= operation.

impl MulAssign<i32> for Rational

fn mul_assign(&mut self, rhs: i32)

Performs the *= operation.

impl MulAssign<i64> for Rational

fn mul_assign(&mut self, rhs: i64)

Performs the *= operation.

impl MulAssign<i8> for Rational

fn mul_assign(&mut self, rhs: i8)

Performs the *= operation.

impl MulAssign<isize> for Rational

fn mul_assign(&mut self, rhs: isize)

Performs the *= operation.

impl MulAssign<u16> for Rational

fn mul_assign(&mut self, rhs: u16)

Performs the *= operation.

impl MulAssign<u32> for Rational

fn mul_assign(&mut self, rhs: u32)

Performs the *= operation.

impl MulAssign<u64> for Rational

fn mul_assign(&mut self, rhs: u64)

Performs the *= operation.

impl MulAssign<u8> for Rational

fn mul_assign(&mut self, rhs: u8)

Performs the *= operation.

impl Neg for Rational

type Output = Rational

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Ord for Rational

fn cmp(&self, other: &Self) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Selfwhere
    Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Selfwhere
    Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Selfwhere
    Self: Sized + PartialOrd<Self>,

Restrict a value to a certain interval.

impl PartialEq<Rational> for Rational

fn eq(&self, other: &Rational) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd<Rational> for Rational

fn partial_cmp(&self, other: &Self) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl Product<Rational> for Rational

fn product<I: Iterator<Item = Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl Rem<Rational> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Self::Output

Performs the % operation.

impl Rem<Rational> for i128

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Rational

Performs the % operation.

impl Rem<Rational> for i16

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Rational

Performs the % operation.

impl Rem<Rational> for i32

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Rational

Performs the % operation.

impl Rem<Rational> for i64

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Rational

Performs the % operation.

impl Rem<Rational> for i8

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Rational

Performs the % operation.

impl Rem<Rational> for isize

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Rational

Performs the % operation.

impl Rem<Rational> for u16

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Rational

Performs the % operation.

impl Rem<Rational> for u32

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Rational

Performs the % operation.

impl Rem<Rational> for u64

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Rational

Performs the % operation.

impl Rem<Rational> for u8

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: Rational) -> Rational

Performs the % operation.

impl Rem<i128> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: i128) -> Rational

Performs the % operation.

impl Rem<i16> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: i16) -> Rational

Performs the % operation.

impl Rem<i32> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: i32) -> Rational

Performs the % operation.

impl Rem<i64> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: i64) -> Rational

Performs the % operation.

impl Rem<i8> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: i8) -> Rational

Performs the % operation.

impl Rem<isize> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: isize) -> Rational

Performs the % operation.

impl Rem<u16> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: u16) -> Rational

Performs the % operation.

impl Rem<u32> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: u32) -> Rational

Performs the % operation.

impl Rem<u64> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: u64) -> Rational

Performs the % operation.

impl Rem<u8> for Rational

type Output = Rational

The resulting type after applying the % operator.

fn rem(self, rhs: u8) -> Rational

Performs the % operation.

impl RemAssign<Rational> for Rational

fn rem_assign(&mut self, rhs: Rational)

Performs the %= operation.

impl RemAssign<i128> for Rational

fn rem_assign(&mut self, rhs: i128)

Performs the %= operation.

impl RemAssign<i16> for Rational

fn rem_assign(&mut self, rhs: i16)

Performs the %= operation.

impl RemAssign<i32> for Rational

fn rem_assign(&mut self, rhs: i32)

Performs the %= operation.

impl RemAssign<i64> for Rational

fn rem_assign(&mut self, rhs: i64)

Performs the %= operation.

impl RemAssign<i8> for Rational

fn rem_assign(&mut self, rhs: i8)

Performs the %= operation.

impl RemAssign<isize> for Rational

fn rem_assign(&mut self, rhs: isize)

Performs the %= operation.

impl RemAssign<u16> for Rational

fn rem_assign(&mut self, rhs: u16)

Performs the %= operation.

impl RemAssign<u32> for Rational

fn rem_assign(&mut self, rhs: u32)

Performs the %= operation.

impl RemAssign<u64> for Rational

fn rem_assign(&mut self, rhs: u64)

Performs the %= operation.

impl RemAssign<u8> for Rational

fn rem_assign(&mut self, rhs: u8)

Performs the %= operation.

impl Sub<Rational> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<Rational> for i128

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<Rational> for i16

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<Rational> for i32

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<Rational> for i64

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<Rational> for i8

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<Rational> for isize

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<Rational> for u16

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<Rational> for u32

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<Rational> for u64

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<Rational> for u8

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> Rational

Performs the - operation.

impl Sub<i128> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: i128) -> Rational

Performs the - operation.

impl Sub<i16> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: i16) -> Rational

Performs the - operation.

impl Sub<i32> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: i32) -> Rational

Performs the - operation.

impl Sub<i64> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: i64) -> Rational

Performs the - operation.

impl Sub<i8> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: i8) -> Rational

Performs the - operation.

impl Sub<isize> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: isize) -> Rational

Performs the - operation.

impl Sub<u16> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: u16) -> Rational

Performs the - operation.

impl Sub<u32> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: u32) -> Rational

Performs the - operation.

impl Sub<u64> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: u64) -> Rational

Performs the - operation.

impl Sub<u8> for Rational

type Output = Rational

The resulting type after applying the - operator.

fn sub(self, rhs: u8) -> Rational

Performs the - operation.

impl SubAssign<Rational> for Rational

fn sub_assign(&mut self, rhs: Rational)

Performs the -= operation.

impl SubAssign<i128> for Rational

fn sub_assign(&mut self, rhs: i128)

Performs the -= operation.

impl SubAssign<i16> for Rational

fn sub_assign(&mut self, rhs: i16)

Performs the -= operation.

impl SubAssign<i32> for Rational

fn sub_assign(&mut self, rhs: i32)

Performs the -= operation.

impl SubAssign<i64> for Rational

fn sub_assign(&mut self, rhs: i64)

Performs the -= operation.

impl SubAssign<i8> for Rational

fn sub_assign(&mut self, rhs: i8)

Performs the -= operation.

impl SubAssign<isize> for Rational

fn sub_assign(&mut self, rhs: isize)

Performs the -= operation.

impl SubAssign<u16> for Rational

fn sub_assign(&mut self, rhs: u16)

Performs the -= operation.

impl SubAssign<u32> for Rational

fn sub_assign(&mut self, rhs: u32)

Performs the -= operation.

impl SubAssign<u64> for Rational

fn sub_assign(&mut self, rhs: u64)

Performs the -= operation.

impl SubAssign<u8> for Rational

fn sub_assign(&mut self, rhs: u8)

Performs the -= operation.

impl Sum<Rational> for Rational

fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl Copy for Rational

impl Eq for Rational

impl StructuralPartialEq for Rational