Struct rug::Rational

#[repr(transparent)]
pub struct Rational { /* fields omitted */ }

An arbitrary-precision rational number.

A Rational number is made up of a numerator Integer and denominator Integer. After Rational number functions, the number is always in canonical form, that is the denominator is always greater than zero, and there are no common factors. Zero is stored as 0/1.

Examples

use rug::Rational;
let r = Rational::from((-12, 15));
let recip = Rational::from(r.recip_ref());
assert_eq!(recip, (-5, 4));
assert_eq!(recip.to_f32(), -1.25);
// The numerator and denominator are stored in canonical form.
let (num, den) = r.into_numer_denom();
assert_eq!(num, -4);
assert_eq!(den, 5);

The Rational number type supports various functions. Most methods have three versions:

1. The first method consumes the operand.
2. The second method has a “_mut” suffix and mutates the operand.
3. The third method has a “_ref” suffix and borrows the operand. The returned item is an incomplete-computation value that can be assigned to a Rational number.

use rug::Rational;

// 1. consume the operand
let a = Rational::from((-15, 2));
let abs_a = a.abs();
assert_eq!(abs_a, (15, 2));

// 2. mutate the operand
let mut b = Rational::from((-17, 2));
b.abs_mut();
assert_eq!(b, (17, 2));

// 3. borrow the operand
let c = Rational::from((-19, 2));
let r = c.abs_ref();
let abs_c = Rational::from(r);
assert_eq!(abs_c, (19, 2));
// c was not consumed
assert_eq!(c, (-19, 2));

Methods

impl Rational

pub fn new() -> Self

Constructs a new arbitrary-precision Rational number with value 0.

Examples

use rug::Rational;
let r = Rational::new();
assert_eq!(r, 0);

pub unsafe fn from_raw(raw: mpq_t) -> Self

Creates a Rational number from an initialized GMP rational number.

Safety

• The value must be initialized.
• The gmp_mpfr_sys::gmp::mpq_t type can be considered as a kind of pointer, so there can be multiple copies of it. Since this function takes over ownership, no other copies of the passed value should exist.
• The numerator and denominator must be in canonical form, as the rest of the library assumes that they are. Most GMP functions leave the rational number in canonical form, but assignment functions do not. Check the GMP documentation for details.

Examples

extern crate gmp_mpfr_sys;
extern crate rug;
use gmp_mpfr_sys::gmp;
use rug::Rational;
use std::mem;
fn main() {
    let r = unsafe {
        let mut q = mem::uninitialized();
        gmp::mpq_init(&mut q);
        gmp::mpq_set_si(&mut q, -145, 10);
        gmp::mpq_canonicalize(&mut q);
        // q is initialized and unique
        Rational::from_raw(q)
    };
    assert_eq!(r, (-145, 10));
    // since r is a Rational now, deallocation is automatic
}

pub fn into_raw(self) -> mpq_t

Converts a Rational number into a GMP rational number.

The returned object should be freed to avoid memory leaks.

Examples

extern crate gmp_mpfr_sys;
extern crate rug;
use gmp_mpfr_sys::gmp;
use rug::Rational;
fn main() {
    let r = Rational::from((-145, 10));
    let mut q = r.into_raw();
    unsafe {
        let d = gmp::mpq_get_d(&q);
        assert_eq!(d, -14.5);
        // free object to prevent memory leak
        gmp::mpq_clear(&mut q);
    }
}

pub fn as_raw(&self) -> *const mpq_t

Returns a pointer to the inner GMP rational number.

The returned pointer will be valid for as long as self is valid.

Examples

extern crate gmp_mpfr_sys;
extern crate rug;
use gmp_mpfr_sys::gmp;
use rug::Rational;
fn main() {
    let r = Rational::from((-145, 10));
    let q_ptr = r.as_raw();
    unsafe {
        let d = gmp::mpq_get_d(q_ptr);
        assert_eq!(d, -14.5);
    }
    // r is still valid
    assert_eq!(r, (-145, 10));
}

pub fn as_raw_mut(&mut self) -> *mut mpq_t

Returns an unsafe mutable pointer to the inner GMP rational number.

The returned pointer will be valid for as long as self is valid.

Examples

extern crate gmp_mpfr_sys;
extern crate rug;
use gmp_mpfr_sys::gmp;
use rug::Rational;
fn main() {
    let mut r = Rational::from((-145, 10));
    let q_ptr = r.as_raw_mut();
    unsafe {
        gmp::mpq_inv(q_ptr, q_ptr);
    }
    assert_eq!(r, (-10, 145));
}

pub fn from_f32(value: f32) -> Option<Self>

Creates a Rational number from an f32 if it is finite, losing no precision.

If the compiler supports TryFrom, this conversion can also be performed using Rational::try_from(value).

Examples

use rug::Rational;
use std::f32;
let r = Rational::from_f32(-17125e-3).unwrap();
assert_eq!(r, "-17125/1000".parse::<Rational>().unwrap());
let inf = Rational::from_f32(f32::INFINITY);
assert!(inf.is_none());

pub fn from_f64(value: f64) -> Option<Self>

Creates a Rational number from an f64 if it is finite, losing no precision.

If the compiler supports TryFrom, this conversion can also be performed using Rational::try_from(value).

Examples

use rug::Rational;
use std::f64;
let r = Rational::from_f64(-17125e-3).unwrap();
assert_eq!(r, "-17125/1000".parse::<Rational>().unwrap());
let inf = Rational::from_f64(f64::INFINITY);
assert!(inf.is_none());

pub fn from_str_radix(src: &str, radix: i32) -> Result<Self, ParseRationalError>

Parses a Rational number.

Panics

Panics if radix is less than 2 or greater than 36.

Examples

use rug::Rational;
let r1 = Rational::from_str_radix("ff/a", 16).unwrap();
assert_eq!(r1, (255, 10));
let r2 = Rational::from_str_radix("+ff0/a0", 16).unwrap();
assert_eq!(r2, (0xff0, 0xa0));
assert_eq!(*r2.numer(), 51);
assert_eq!(*r2.denom(), 2);

pub fn parse<S>(src: S) -> Result<ParseIncomplete, ParseRationalError> where     S: AsRef<[u8]>,

Parses a decimal string slice (&str) or byte slice (&[u8]) into a Rational number.

Assign<Src> for Rational and From<Src> for Rational are implemented with the unwrapped returned incomplete-computation value as Src.

The string must contain a numerator, and may contain a denominator; the numerator and denominator are separated with a ‘/’. The numerator can start with an optional minus or plus sign.

ASCII whitespace is ignored everywhere in the string. Underscores are ignored anywhere except before the first digit of the numerator and between the ‘/’ and the the first digit of the denominator.

Examples

use rug::Rational;

let valid1 = Rational::parse("-12/23");
let r1 = Rational::from(valid1.unwrap());
assert_eq!(r1, (-12, 23));
let valid2 = Rational::parse("+ 12 / 23");
let r2 = Rational::from(valid2.unwrap());
assert_eq!(r2, (12, 23));

let invalid = Rational::parse("12/");
assert!(invalid.is_err());

pub fn parse_radix<S>(     src: S,     radix: i32 ) -> Result<ParseIncomplete, ParseRationalError> where     S: AsRef<[u8]>,

Parses a string slice (&str) or byte slice (&[u8]) into a Rational number.

Assign<Src> for Rational and From<Src> for Rational are implemented with the unwrapped returned incomplete-computation value as Src.

The string must contain a numerator, and may contain a denominator; the numerator and denominator are separated with a ‘/’. The numerator can start with an optional minus or plus sign.

ASCII whitespace is ignored everywhere in the string. Underscores are ignored anywhere except before the first digit of the numerator and between the ‘/’ and the the first digit of the denominator.

Panics

Panics if radix is less than 2 or greater than 36.

Examples

use rug::Rational;

let valid1 = Rational::parse_radix("12/23", 4);
let r1 = Rational::from(valid1.unwrap());
assert_eq!(r1, (2 + 4 * 1, 3 + 4 * 2));
let valid2 = Rational::parse_radix("12 / yz", 36);
let r2 = Rational::from(valid2.unwrap());
assert_eq!(r2, (2 + 36 * 1, 35 + 36 * 34));

let invalid = Rational::parse_radix("12/", 10);
assert!(invalid.is_err());

pub fn to_f32(&self) -> f32

Converts to an f32, rounding towards zero.

Examples

use rug::rational::SmallRational;
use rug::Rational;
use std::f32;
let min = Rational::from_f32(f32::MIN).unwrap();
let minus_small = min - &*SmallRational::from((7, 2));
// minus_small is truncated to f32::MIN
assert_eq!(minus_small.to_f32(), f32::MIN);
let times_three_two = minus_small * &*SmallRational::from((3, 2));
// times_three_two is too small
assert_eq!(times_three_two.to_f32(), f32::NEG_INFINITY);

pub fn to_f64(&self) -> f64

Converts to an f64, rounding towards zero.

Examples

use rug::rational::SmallRational;
use rug::Rational;
use std::f64;

// An `f64` has 53 bits of precision.
let exact = 0x1f_1234_5678_9aff_u64;
let den = 0x1000_u64;
let r = Rational::from((exact, den));
assert_eq!(r.to_f64(), exact as f64 / den as f64);

// large has 56 ones
let large = 0xff_1234_5678_9aff_u64;
// trunc has 53 ones followed by 3 zeros
let trunc = 0xff_1234_5678_9af8_u64;
let j = Rational::from((large, den));
assert_eq!(j.to_f64(), trunc as f64 / den as f64);

let max = Rational::from_f64(f64::MAX).unwrap();
let plus_small = max + &*SmallRational::from((7, 2));
// plus_small is truncated to f64::MAX
assert_eq!(plus_small.to_f64(), f64::MAX);
let times_three_two = plus_small * &*SmallRational::from((3, 2));
// times_three_two is too large
assert_eq!(times_three_two.to_f64(), f64::INFINITY);

pub fn to_string_radix(&self, radix: i32) -> String

Returns a string representation for the specified radix.

Panics

Panics if radix is less than 2 or greater than 36.

Examples

use rug::Rational;
let r1 = Rational::from(0);
assert_eq!(r1.to_string_radix(10), "0");
let r2 = Rational::from((15, 5));
assert_eq!(r2.to_string_radix(10), "3");
let r3 = Rational::from((10, -6));
assert_eq!(r3.to_string_radix(10), "-5/3");
assert_eq!(r3.to_string_radix(5), "-10/3");

pub fn assign_f32(&mut self, val: f32) -> Result<(), ()>

Assigns from an f32 if it is finite, losing no precision.

Examples

use rug::Rational;
use std::f32;
let mut r = Rational::new();
let ret = r.assign_f32(12.75);
assert!(ret.is_ok());
assert_eq!(r, (1275, 100));
let ret = r.assign_f32(f32::NAN);
assert!(ret.is_err());
assert_eq!(r, (1275, 100));

pub fn assign_f64(&mut self, val: f64) -> Result<(), ()>

Assigns from an f64 if it is finite, losing no precision.

Examples

use rug::Rational;
let mut r = Rational::new();
let ret = r.assign_f64(12.75);
assert!(ret.is_ok());
assert_eq!(r, (1275, 100));
let ret = r.assign_f64(1.0 / 0.0);
assert!(ret.is_err());
assert_eq!(r, (1275, 100));

pub unsafe fn from_canonical<Num, Den>(num: Num, den: Den) -> Self where     Integer: From<Num> + From<Den>,

Creates a new Rational number from a numerator and denominator without canonicalizing aftwerwards.

Safety

This function is unsafe because it does not canonicalize the Rational number. The caller must ensure that the numerator and denominator are in canonical form, as the rest of the library assumes that they are.

Examples

use rug::Rational;

// -3 / 5 is in canonical form
let r = unsafe { Rational::from_canonical(-3, 5) };
assert_eq!(r, (-3, 5));

pub unsafe fn assign_canonical<Num, Den>(&mut self, num: Num, den: Den) where     Integer: Assign<Num> + Assign<Den>,

Assigns to the numerator and denominator without canonicalizing aftwerwards.

Safety

This function is unsafe because it does not canonicalize the Rational number after the assignment. The caller must ensure that the numerator and denominator are in canonical form, as the rest of the library assumes that they are.

Examples

use rug::Rational;

let mut r = Rational::new();
// -3 / 5 is in canonical form
unsafe {
    r.assign_canonical(-3, 5);
}
assert_eq!(r, (-3, 5));

pub fn numer(&self) -> &Integer

Borrows the numerator as an Integer.

Examples

use rug::Rational;
let r = Rational::from((12, -20));
// r will be canonicalized to -3 / 5
assert_eq!(*r.numer(), -3)

pub fn denom(&self) -> &Integer

Borrows the denominator as an Integer.

Examples

use rug::Rational;
let r = Rational::from((12, -20));
// r will be canonicalized to -3 / 5
assert_eq!(*r.denom(), 5);

pub fn mutate_numer_denom<F>(&mut self, func: F) where     F: FnOnce(&mut Integer, &mut Integer),

Calls a function with mutable references to the numerator and denominator, then canonicalizes the number.

The denominator must not be zero when the function returns.

Panics

Panics if the denominator is zero when the function returns.

Examples

use rug::Rational;
let mut r = Rational::from((3, 5));
r.mutate_numer_denom(|num, den| {
    // change r from 3/5 to 4/8, which is equal to 1/2
    *num += 1;
    *den += 3;
});
assert_eq!(*r.numer(), 1);
assert_eq!(*r.denom(), 2);

This method does not check that the numerator and denominator are in canonical form before calling func. This means that this method can be used to canonicalize the number after some unsafe methods that do not leave the number in cononical form.

use rug::Rational;
let mut r = Rational::from((3, 5));
unsafe {
    // leave r in non-canonical form
    *r.as_mut_numer_denom_no_canonicalization().0 += 1;
    *r.as_mut_numer_denom_no_canonicalization().1 -= 13;
}
// At this point, r is still not canonical: 4 / -8
assert_eq!(*r.numer(), 4);
assert_eq!(*r.denom(), -8);
r.mutate_numer_denom(|_, _| {});
// Now r is in canonical form: -1 / 2
assert_eq!(*r.numer(), -1);
assert_eq!(*r.denom(), 2);

pub unsafe fn as_mut_numer_denom_no_canonicalization(     &mut self ) -> (&mut Integer, &mut Integer)

Borrows the numerator and denominator mutably without canonicalizing aftwerwards.

Safety

This function is unsafe because it does not canonicalize the Rational number when the borrow ends. The caller must ensure that the numerator and denominator are left in canonical form, as the rest of the library assumes that they are.

Examples

use rug::Rational;

let mut r = Rational::from((3, 5));
{
    let (num, den) = unsafe { r.as_mut_numer_denom_no_canonicalization() };
    // Add one to r by adding den to num. Since num and den
    // are relatively prime, r remains in canonical form.
    *num += &*den;
}
assert_eq!(r, (8, 5));

This method can also be used to group some operations before canonicalization. This is usually not beneficial, as early canonicalization usually means subsequent arithmetic operations have less work to do.

use rug::Rational;
let mut r = Rational::from((3, 5));
unsafe {
    // first operation: add 1 to numerator
    *r.as_mut_numer_denom_no_canonicalization().0 += 1;
    // second operation: subtract 13 from denominator
    *r.as_mut_numer_denom_no_canonicalization().1 -= 13;
}
// At this point, r is still not canonical: 4 / -8
assert_eq!(*r.numer(), 4);
assert_eq!(*r.denom(), -8);
r.mutate_numer_denom(|_, _| {});
// Now r is in canonical form: -1 / 2
assert_eq!(*r.numer(), -1);
assert_eq!(*r.denom(), 2);

pub fn into_numer_denom(self) -> (Integer, Integer)

Converts into numerator and denominator Integer values.

This function reuses the allocated memory and does not allocate any new memory.

Examples

use rug::Rational;
let r = Rational::from((12, -20));
// r will be canonicalized to -3 / 5
let (num, den) = r.into_numer_denom();
assert_eq!(num, -3);
assert_eq!(den, 5);

pub fn as_neg(&self) -> BorrowRational

Borrows a negated copy of the Rational number.

The returned object implements Deref<Target = Rational>.

This method performs a shallow copy and negates it, and negation does not change the allocated data.

Examples

use rug::Rational;
let r = Rational::from((7, 11));
let neg_r = r.as_neg();
assert_eq!(*neg_r, (-7, 11));
// methods taking &self can be used on the returned object
let reneg_r = neg_r.as_neg();
assert_eq!(*reneg_r, (7, 11));
assert_eq!(*reneg_r, r);

pub fn as_abs(&self) -> BorrowRational

Borrows an absolute copy of the Rational number.

The returned object implements Deref<Target = Rational>.

This method performs a shallow copy and possibly negates it, and negation does not change the allocated data.

Examples

use rug::Rational;
let r = Rational::from((-7, 11));
let abs_r = r.as_abs();
assert_eq!(*abs_r, (7, 11));
// methods taking &self can be used on the returned object
let reabs_r = abs_r.as_abs();
assert_eq!(*reabs_r, (7, 11));
assert_eq!(*reabs_r, *abs_r);

pub fn as_recip(&self) -> BorrowRational

Borrows a reciprocal copy of the Rational number.

The returned object implements Deref<Target = Rational>.

This method performs some shallow copying, swapping numerator and denominator and making sure the sign is in the numerator.

Panics

Panics if the value is zero.

Examples

use rug::Rational;
let r = Rational::from((-7, 11));
let recip_r = r.as_recip();
assert_eq!(*recip_r, (-11, 7));
// methods taking &self can be used on the returned object
let rerecip_r = recip_r.as_recip();
assert_eq!(*rerecip_r, (-7, 11));
assert_eq!(*rerecip_r, r);

pub fn cmp0(&self) -> Ordering

Returns the same result as self.cmp(&0.into()), but is faster.

Examples

use rug::Rational;
use std::cmp::Ordering;
assert_eq!(Rational::from((-5, 7)).cmp0(), Ordering::Less);
assert_eq!(Rational::from(0).cmp0(), Ordering::Equal);
assert_eq!(Rational::from((5, 7)).cmp0(), Ordering::Greater);

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

Compares the absolute values.

Examples

use rug::Rational;
use std::cmp::Ordering;
let a = Rational::from((-23, 10));
let b = Rational::from((-47, 5));
assert_eq!(a.cmp(&b), Ordering::Greater);
assert_eq!(a.cmp_abs(&b), Ordering::Less);

pub fn sum<'a, I>(values: I) -> SumIncomplete<'a, I> where     I: Iterator<Item = &'a Self>,

Adds a list of Rational values.

Assign<Src> for Rational, From<Src> for Rational, AddAssign<Src> for Rational and Add<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::Rational;

let values = [
    Rational::from((5, 2)),
    Rational::from((-100_000, 7)),
    Rational::from(-4),
];

let r = Rational::sum(values.iter());
let sum = Rational::from(r);
let expected = (5 * 7 - 100_000 * 2 - 4 * 14, 14);
assert_eq!(sum, expected);

pub fn dot<'a, I>(values: I) -> DotIncomplete<'a, I> where     I: Iterator<Item = (&'a Self, &'a Self)>,

Finds the dot product of a list of Rational value pairs.

Assign<Src> for Rational, From<Src> for Rational, AddAssign<Src> for Rational and Add<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::Rational;

let a = [Rational::from((270, 7)), Rational::from((-11, 10))];
let b = [Rational::from(7), Rational::from((1, 2))];

let r = Rational::dot(a.iter().zip(b.iter()));
let dot = Rational::from(r);
let expected = (270 * 20 - 11, 20);
assert_eq!(dot, expected);

pub fn product<'a, I>(values: I) -> ProductIncomplete<'a, I> where     I: Iterator<Item = &'a Self>,

Multiplies a list of Rational values.

Assign<Src> for Rational, From<Src> for Rational, MulAssign<Src> for Rational and Mul<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::Rational;

let values = [
    Rational::from((5, 2)),
    Rational::from((-100_000, 7)),
    Rational::from(-4),
];

let r = Rational::product(values.iter());
let product = Rational::from(r);
let expected = (5 * -100_000 * -4, 2 * 7);
assert_eq!(product, expected);

pub fn abs(self) -> Self

Computes the absolute value.

Examples

use rug::Rational;
let r = Rational::from((-100, 17));
let abs = r.abs();
assert_eq!(abs, (100, 17));

pub fn abs_mut(&mut self)

Computes the absolute value.

Examples

use rug::Rational;
let mut r = Rational::from((-100, 17));
r.abs_mut();
assert_eq!(r, (100, 17));

pub fn abs_ref(&self) -> AbsIncomplete

Computes the absolute value.

Assign<Src> for Rational and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::Rational;
let r = Rational::from((-100, 17));
let r_ref = r.abs_ref();
let abs = Rational::from(r_ref);
assert_eq!(abs, (100, 17));

pub fn signum(self) -> Rational

Computes the signum.

• 0 if the value is zero
• 1 if the value is positive
• −1 if the value is negative

Examples

use rug::Rational;
let r = Rational::from((-100, 17));
let signum = r.signum();
assert_eq!(signum, -1);

pub fn signum_mut(&mut self)

Computes the signum.

• 0 if the value is zero
• 1 if the value is positive
• −1 if the value is negative

Examples

use rug::Rational;
let mut r = Rational::from((-100, 17));
r.signum_mut();
assert_eq!(r, -1);

pub fn signum_ref(&self) -> SignumIncomplete

Computes the signum.

• 0 if the value is zero
• 1 if the value is positive
• −1 if the value is negative

Assign<Src> for Integer, Assign<Src> for Rational, From<Src> for Integer and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::{Integer, Rational};
let r = Rational::from((-100, 17));
let r_ref = r.signum_ref();
let signum = Integer::from(r_ref);
assert_eq!(signum, -1);

pub fn clamp<'a, 'b, Min, Max>(self, min: &'a Min, max: &'b Max) -> Self where     Self: PartialOrd<Min> + PartialOrd<Max> + Assign<&'a Min> + Assign<&'b Max>,

Clamps the value within the specified bounds.

Panics

Panics if the maximum value is less than the minimum value.

Examples

use rug::Rational;
let min = (-3, 2);
let max = (3, 2);
let too_small = Rational::from((-5, 2));
let clamped1 = too_small.clamp(&min, &max);
assert_eq!(clamped1, (-3, 2));
let in_range = Rational::from((1, 2));
let clamped2 = in_range.clamp(&min, &max);
assert_eq!(clamped2, (1, 2));

pub fn clamp_mut<'a, 'b, Min, Max>(&mut self, min: &'a Min, max: &'b Max) where     Self: PartialOrd<Min> + PartialOrd<Max> + Assign<&'a Min> + Assign<&'b Max>,

Clamps the value within the specified bounds.

Panics

Panics if the maximum value is less than the minimum value.

Examples

use rug::Rational;
let min = (-3, 2);
let max = (3, 2);
let mut too_small = Rational::from((-5, 2));
too_small.clamp_mut(&min, &max);
assert_eq!(too_small, (-3, 2));
let mut in_range = Rational::from((1, 2));
in_range.clamp_mut(&min, &max);
assert_eq!(in_range, (1, 2));

pub fn clamp_ref<'a, Min, Max>(     &'a self,     min: &'a Min,     max: &'a Max ) -> ClampIncomplete<'a, Min, Max> where     Self: PartialOrd<Min> + PartialOrd<Max> + Assign<&'a Min> + Assign<&'a Max>,

Clamps the value within the specified bounds.

Assign<Src> for Rational and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Panics

Panics if the maximum value is less than the minimum value.

Examples

use rug::Rational;
let min = (-3, 2);
let max = (3, 2);
let too_small = Rational::from((-5, 2));
let r1 = too_small.clamp_ref(&min, &max);
let clamped1 = Rational::from(r1);
assert_eq!(clamped1, (-3, 2));
let in_range = Rational::from((1, 2));
let r2 = in_range.clamp_ref(&min, &max);
let clamped2 = Rational::from(r2);
assert_eq!(clamped2, (1, 2));

pub fn recip(self) -> Self

Computes the reciprocal.

Panics

Panics if the value is zero.

Examples

use rug::Rational;
let r = Rational::from((-100, 17));
let recip = r.recip();
assert_eq!(recip, (-17, 100));

pub fn recip_mut(&mut self)

Computes the reciprocal.

This method never reallocates or copies the heap data. It simply swaps the allocated data of the numerator and denominator and makes sure the denominator is stored as positive.

Panics

Panics if the value is zero.

Examples

use rug::Rational;
let mut r = Rational::from((-100, 17));
r.recip_mut();
assert_eq!(r, (-17, 100));

pub fn recip_ref(&self) -> RecipIncomplete

Computes the reciprocal.

Assign<Src> for Rational and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::Rational;
let r = Rational::from((-100, 17));
let r_ref = r.recip_ref();
let recip = Rational::from(r_ref);
assert_eq!(recip, (-17, 100));

pub fn trunc(self) -> Rational

Rounds the number towards zero.

Examples

use rug::Rational;
// -3.7
let r1 = Rational::from((-37, 10));
let trunc1 = r1.trunc();
assert_eq!(trunc1, -3);
// 3.3
let r2 = Rational::from((33, 10));
let trunc2 = r2.trunc();
assert_eq!(trunc2, 3);

pub fn trunc_mut(&mut self)

Rounds the number towards zero.

Examples

use rug::{Assign, Rational};
// -3.7
let mut r = Rational::from((-37, 10));
r.trunc_mut();
assert_eq!(r, -3);
// 3.3
r.assign((33, 10));
r.trunc_mut();
assert_eq!(r, 3);

pub fn trunc_ref(&self) -> TruncIncomplete

Rounds the number towards zero.

Assign<Src> for Integer, Assign<Src> for Rational, From<Src> for Integer and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::{Assign, Integer, Rational};
let mut trunc = Integer::new();
// -3.7
let r1 = Rational::from((-37, 10));
trunc.assign(r1.trunc_ref());
assert_eq!(trunc, -3);
// 3.3
let r2 = Rational::from((33, 10));
trunc.assign(r2.trunc_ref());
assert_eq!(trunc, 3);

pub fn rem_trunc(self) -> Self

Computes the fractional part of the number.

Examples

use rug::Rational;
// -100/17 = -5 - 15/17
let r = Rational::from((-100, 17));
let rem = r.rem_trunc();
assert_eq!(rem, (-15, 17));

pub fn rem_trunc_mut(&mut self)

Computes the fractional part of the number.

Examples

use rug::Rational;
// -100/17 = -5 - 15/17
let mut r = Rational::from((-100, 17));
r.rem_trunc_mut();
assert_eq!(r, (-15, 17));

pub fn rem_trunc_ref(&self) -> RemTruncIncomplete

Computes the fractional part of the number.

Assign<Src> for Rational and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::Rational;
// -100/17 = -5 - 15/17
let r = Rational::from((-100, 17));
let r_ref = r.rem_trunc_ref();
let rem = Rational::from(r_ref);
assert_eq!(rem, (-15, 17));

pub fn fract_trunc(self, trunc: Integer) -> (Self, Integer)

Computes the fractional and truncated parts of the number.

The initial value of trunc is ignored.

Examples

use rug::{Integer, Rational};
// -100/17 = -5 - 15/17
let r = Rational::from((-100, 17));
let (fract, trunc) = r.fract_trunc(Integer::new());
assert_eq!(fract, (-15, 17));
assert_eq!(trunc, -5);

pub fn fract_trunc_mut(&mut self, trunc: &mut Integer)

Computes the fractional and truncated parts of the number.

The initial value of trunc is ignored.

Examples

use rug::{Integer, Rational};
// -100/17 = -5 - 15/17
let mut r = Rational::from((-100, 17));
let mut whole = Integer::new();
r.fract_trunc_mut(&mut whole);
assert_eq!(r, (-15, 17));
assert_eq!(whole, -5);

pub fn fract_trunc_ref(&self) -> FractTruncIncomplete

Computes the fractional and truncated parts of the number.

Assign<Src> for (Rational, Integer), Assign<Src> for (&mut Rational, &mut Integer) and From<Src> for (Rational, Integer) are implemented with the returned incomplete-computation value as Src.

Examples

use rug::{Assign, Integer, Rational};
// -100/17 = -5 - 15/17
let r = Rational::from((-100, 17));
let r_ref = r.fract_trunc_ref();
let (mut fract, mut trunc) = (Rational::new(), Integer::new());
(&mut fract, &mut trunc).assign(r_ref);
assert_eq!(fract, (-15, 17));
assert_eq!(trunc, -5);

pub fn ceil(self) -> Rational

Rounds the number upwards (towards plus infinity).

Examples

use rug::Rational;
// -3.7
let r1 = Rational::from((-37, 10));
let ceil1 = r1.ceil();
assert_eq!(ceil1, -3);
// 3.3
let r2 = Rational::from((33, 10));
let ceil2 = r2.ceil();
assert_eq!(ceil2, 4);

pub fn ceil_mut(&mut self)

Rounds the number upwards (towards plus infinity).

Examples

use rug::{Assign, Rational};
// -3.7
let mut r = Rational::from((-37, 10));
r.ceil_mut();
assert_eq!(r, -3);
// 3.3
r.assign((33, 10));
r.ceil_mut();
assert_eq!(r, 4);

pub fn ceil_ref(&self) -> CeilIncomplete

Rounds the number upwards (towards plus infinity).

Assign<Src> for Integer, Assign<Src> for Rational, From<Src> for Integer and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::{Assign, Integer, Rational};
let mut ceil = Integer::new();
// -3.7
let r1 = Rational::from((-37, 10));
ceil.assign(r1.ceil_ref());
assert_eq!(ceil, -3);
// 3.3
let r2 = Rational::from((33, 10));
ceil.assign(r2.ceil_ref());
assert_eq!(ceil, 4);

pub fn rem_ceil(self) -> Self

Computes the non-positive remainder after rounding up.

Examples

use rug::Rational;
// 100/17 = 6 - 2/17
let r = Rational::from((100, 17));
let rem = r.rem_ceil();
assert_eq!(rem, (-2, 17));

pub fn rem_ceil_mut(&mut self)

Computes the non-positive remainder after rounding up.

Examples

use rug::Rational;
// 100/17 = 6 - 2/17
let mut r = Rational::from((100, 17));
r.rem_ceil_mut();
assert_eq!(r, (-2, 17));

pub fn rem_ceil_ref(&self) -> RemCeilIncomplete

Computes the non-positive remainder after rounding up.

Assign<Src> for Rational and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::Rational;
// 100/17 = 6 - 2/17
let r = Rational::from((100, 17));
let r_ref = r.rem_ceil_ref();
let rem = Rational::from(r_ref);
assert_eq!(rem, (-2, 17));

pub fn fract_ceil(self, ceil: Integer) -> (Self, Integer)

Computes the fractional and ceil parts of the number.

The fractional part cannot greater than zero. The initial value of ceil is ignored.

Examples

use rug::{Integer, Rational};
// 100/17 = 6 - 2/17
let r = Rational::from((100, 17));
let (fract, ceil) = r.fract_ceil(Integer::new());
assert_eq!(fract, (-2, 17));
assert_eq!(ceil, 6);

pub fn fract_ceil_mut(&mut self, ceil: &mut Integer)

Computes the fractional and ceil parts of the number.

The fractional part cannot be greater than zero. The initial value of ceil is ignored.

Examples

use rug::{Integer, Rational};
// 100/17 = 6 - 2/17
let mut r = Rational::from((100, 17));
let mut ceil = Integer::new();
r.fract_ceil_mut(&mut ceil);
assert_eq!(r, (-2, 17));
assert_eq!(ceil, 6);

pub fn fract_ceil_ref(&self) -> FractCeilIncomplete

Computes the fractional and ceil parts of the number.

The fractional part cannot be greater than zero.

Assign<Src> for (Rational, Integer), Assign<Src> for (&mut Rational, &mut Integer) and From<Src> for (Rational, Integer) are implemented with the returned incomplete-computation value as Src.

Examples

use rug::{Assign, Integer, Rational};
// 100/17 = 6 - 2/17
let r = Rational::from((100, 17));
let r_ref = r.fract_ceil_ref();
let (mut fract, mut ceil) = (Rational::new(), Integer::new());
(&mut fract, &mut ceil).assign(r_ref);
assert_eq!(fract, (-2, 17));
assert_eq!(ceil, 6);

pub fn floor(self) -> Rational

Rounds the number downwards (towards minus infinity).

Examples

use rug::Rational;
// -3.7
let r1 = Rational::from((-37, 10));
let floor1 = r1.floor();
assert_eq!(floor1, -4);
// 3.3
let r2 = Rational::from((33, 10));
let floor2 = r2.floor();
assert_eq!(floor2, 3);

pub fn floor_mut(&mut self)

Rounds the number downwards (towards minus infinity).

use rug::{Assign, Rational};
// -3.7
let mut r = Rational::from((-37, 10));
r.floor_mut();
assert_eq!(r, -4);
// 3.3
r.assign((33, 10));
r.floor_mut();
assert_eq!(r, 3);

pub fn floor_ref(&self) -> FloorIncomplete

Rounds the number downwards (towards minus infinity).

Assign<Src> for Integer, Assign<Src> for Rational, From<Src> for Integer and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::{Assign, Integer, Rational};
let mut floor = Integer::new();
// -3.7
let r1 = Rational::from((-37, 10));
floor.assign(r1.floor_ref());
assert_eq!(floor, -4);
// 3.3
let r2 = Rational::from((33, 10));
floor.assign(r2.floor_ref());
assert_eq!(floor, 3);

pub fn rem_floor(self) -> Self

Computes the non-negative remainder after rounding down.

Examples

use rug::Rational;
// -100/17 = -6 + 2/17
let r = Rational::from((-100, 17));
let rem = r.rem_floor();
assert_eq!(rem, (2, 17));

pub fn rem_floor_mut(&mut self)

Computes the non-negative remainder after rounding down.

Examples

use rug::Rational;
// -100/17 = -6 + 2/17
let mut r = Rational::from((-100, 17));
r.rem_floor_mut();
assert_eq!(r, (2, 17));

pub fn rem_floor_ref(&self) -> RemFloorIncomplete

Computes the non-negative remainder after rounding down.

Assign<Src> for Rational and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::Rational;
// -100/17 = -6 + 2/17
let r = Rational::from((-100, 17));
let r_ref = r.rem_floor_ref();
let rem = Rational::from(r_ref);
assert_eq!(rem, (2, 17));

pub fn fract_floor(self, floor: Integer) -> (Self, Integer)

Computes the fractional and floor parts of the number.

The fractional part cannot be negative. The initial value of floor is ignored.

Examples

use rug::{Integer, Rational};
// -100/17 = -6 + 2/17
let r = Rational::from((-100, 17));
let (fract, floor) = r.fract_floor(Integer::new());
assert_eq!(fract, (2, 17));
assert_eq!(floor, -6);

pub fn fract_floor_mut(&mut self, floor: &mut Integer)

Computes the fractional and floor parts of the number.

The fractional part cannot be negative. The initial value of floor is ignored.

Examples

use rug::{Integer, Rational};
// -100/17 = -6 + 2/17
let mut r = Rational::from((-100, 17));
let mut floor = Integer::new();
r.fract_floor_mut(&mut floor);
assert_eq!(r, (2, 17));
assert_eq!(floor, -6);

pub fn fract_floor_ref(&self) -> FractFloorIncomplete

Computes the fractional and floor parts of the number.

The fractional part cannot be negative.

Assign<Src> for (Rational, Integer), Assign<Src> for (&mut Rational, &mut Integer) and From<Src> for (Rational, Integer) are implemented with the returned incomplete-computation value as Src.

Examples

use rug::{Assign, Integer, Rational};
// -100/17 = -6 + 2/17
let r = Rational::from((-100, 17));
let r_ref = r.fract_floor_ref();
let (mut fract, mut floor) = (Rational::new(), Integer::new());
(&mut fract, &mut floor).assign(r_ref);
assert_eq!(fract, (2, 17));
assert_eq!(floor, -6);

pub fn round(self) -> Rational

Rounds the number to the nearest integer.

When the number lies exactly between two integers, it is rounded away from zero.

Examples

use rug::Rational;
// -3.5
let r1 = Rational::from((-35, 10));
let round1 = r1.round();
assert_eq!(round1, -4);
// 3.7
let r2 = Rational::from((37, 10));
let round2 = r2.round();
assert_eq!(round2, 4);

pub fn round_mut(&mut self)

Rounds the number to the nearest integer.

When the number lies exactly between two integers, it is rounded away from zero.

Examples

use rug::{Assign, Rational};
// -3.5
let mut r = Rational::from((-35, 10));
r.round_mut();
assert_eq!(r, -4);
// 3.7
r.assign((37, 10));
r.round_mut();
assert_eq!(r, 4);

pub fn round_ref(&self) -> RoundIncomplete

Rounds the number to the nearest integer.

When the number lies exactly between two integers, it is rounded away from zero.

Assign<Src> for Integer, Assign<Src> for Rational, From<Src> for Integer and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::{Assign, Integer, Rational};
let mut round = Integer::new();
// -3.5
let r1 = Rational::from((-35, 10));
round.assign(r1.round_ref());
assert_eq!(round, -4);
// 3.7
let r2 = Rational::from((37, 10));
round.assign(r2.round_ref());
assert_eq!(round, 4);

pub fn rem_round(self) -> Self

Computes the remainder after rounding to the nearest integer.

Examples

use rug::Rational;
// -3.5 = -4 + 0.5 = -4 + 1/2
let r1 = Rational::from((-35, 10));
let rem1 = r1.rem_round();
assert_eq!(rem1, (1, 2));
// 3.7 = 4 - 0.3 = 4 - 3/10
let r2 = Rational::from((37, 10));
let rem2 = r2.rem_round();
assert_eq!(rem2, (-3, 10));

pub fn rem_round_mut(&mut self)

Computes the remainder after rounding to the nearest integer.

Examples

use rug::Rational;
// -3.5 = -4 + 0.5 = -4 + 1/2
let mut r1 = Rational::from((-35, 10));
r1.rem_round_mut();
assert_eq!(r1, (1, 2));
// 3.7 = 4 - 0.3 = 4 - 3/10
let mut r2 = Rational::from((37, 10));
r2.rem_round_mut();
assert_eq!(r2, (-3, 10));

pub fn rem_round_ref(&self) -> RemRoundIncomplete

Computes the remainder after rounding to the nearest integer.

Assign<Src> for Rational and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::Rational;
// -3.5 = -4 + 0.5 = -4 + 1/2
let r1 = Rational::from((-35, 10));
let r_ref1 = r1.rem_round_ref();
let rem1 = Rational::from(r_ref1);
assert_eq!(rem1, (1, 2));
// 3.7 = 4 - 0.3 = 4 - 3/10
let r2 = Rational::from((37, 10));
let r_ref2 = r2.rem_round_ref();
let rem2 = Rational::from(r_ref2);
assert_eq!(rem2, (-3, 10));

pub fn fract_round(self, round: Integer) -> (Self, Integer)

Computes the fractional and rounded parts of the number.

The fractional part is positive when the number is rounded down and negative when the number is rounded up. When the number lies exactly between two integers, it is rounded away from zero.

Examples

use rug::{Integer, Rational};
// -3.5 = -4 + 0.5 = -4 + 1/2
let r1 = Rational::from((-35, 10));
let (fract1, round1) = r1.fract_round(Integer::new());
assert_eq!(fract1, (1, 2));
assert_eq!(round1, -4);
// 3.7 = 4 - 0.3 = 4 - 3/10
let r2 = Rational::from((37, 10));
let (fract2, round2) = r2.fract_round(Integer::new());
assert_eq!(fract2, (-3, 10));
assert_eq!(round2, 4);

pub fn fract_round_mut(&mut self, round: &mut Integer)

Computes the fractional and round parts of the number.

The fractional part is positive when the number is rounded down and negative when the number is rounded up. When the number lies exactly between two integers, it is rounded away from zero.

Examples

use rug::{Integer, Rational};
// -3.5 = -4 + 0.5 = -4 + 1/2
let mut r1 = Rational::from((-35, 10));
let mut round1 = Integer::new();
r1.fract_round_mut(&mut round1);
assert_eq!(r1, (1, 2));
assert_eq!(round1, -4);
// 3.7 = 4 - 0.3 = 4 - 3/10
let mut r2 = Rational::from((37, 10));
let mut round2 = Integer::new();
r2.fract_round_mut(&mut round2);
assert_eq!(r2, (-3, 10));
assert_eq!(round2, 4);

pub fn fract_round_ref(&self) -> FractRoundIncomplete

Computes the fractional and round parts of the number.

The fractional part is positive when the number is rounded down and negative when the number is rounded up. When the number lies exactly between two integers, it is rounded away from zero.

Assign<Src> for (Rational, Integer), Assign<Src> for (&mut Rational, &mut Integer) and From<Src> for (Rational, Integer) are implemented with the returned incomplete-computation value as Src.

Examples

use rug::{Assign, Integer, Rational};
// -3.5 = -4 + 0.5 = -4 + 1/2
let r1 = Rational::from((-35, 10));
let r_ref1 = r1.fract_round_ref();
let (mut fract1, mut round1) = (Rational::new(), Integer::new());
(&mut fract1, &mut round1).assign(r_ref1);
assert_eq!(fract1, (1, 2));
assert_eq!(round1, -4);
// 3.7 = 4 - 0.3 = 4 - 3/10
let r2 = Rational::from((37, 10));
let r_ref2 = r2.fract_round_ref();
let (mut fract2, mut round2) = (Rational::new(), Integer::new());
(&mut fract2, &mut round2).assign(r_ref2);
assert_eq!(fract2, (-3, 10));
assert_eq!(round2, 4);

pub fn square(self) -> Self

Computes the square.

Examples

use rug::Rational;
let r = Rational::from((-13, 2));
let square = r.square();
assert_eq!(square, (169, 4));

pub fn square_mut(&mut self)

Computes the square.

Examples

use rug::Rational;
let mut r = Rational::from((-13, 2));
r.square_mut();
assert_eq!(r, (169, 4));

pub fn square_ref(&self) -> SquareIncomplete

Computes the square.

Assign<Src> for Rational and From<Src> for Rational are implemented with the returned incomplete-computation value as Src.

Examples

use rug::Rational;
let r = Rational::from((-13, 2));
assert_eq!(Rational::from(r.square_ref()), (169, 4));

Trait Implementations

impl Neg for Rational

type Output = Rational

The resulting type after applying the - operator.

fn neg(self) -> Rational

Performs the unary - operation.

impl NegAssign for Rational

fn neg_assign(&mut self)

Peforms the negation.

impl<'a> Neg for &'a Rational

type Output = NegIncomplete<'a>

The resulting type after applying the - operator.

fn neg(self) -> NegIncomplete<'a>

Performs the unary - operation.

impl Add<Rational> for Rational

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a Rational> for Rational

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<Rational> for &'a Rational

type Output = Rational

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a Rational> for &'a Rational

type Output = AddIncomplete<'a>

The resulting type after applying the + operator.

fn add(self, rhs: &'a Rational) -> AddIncomplete

Performs the + operation.

impl AddAssign<Rational> for Rational

fn add_assign(&mut self, rhs: Rational)

Performs the += operation.

impl<'a> AddAssign<&'a Rational> for Rational

fn add_assign(&mut self, rhs: &Rational)

Performs the += operation.

impl AddFrom<Rational> for Rational

fn add_from(&mut self, lhs: Rational)

Peforms the addition.

impl<'a> AddFrom<&'a Rational> for Rational

fn add_from(&mut self, lhs: &Rational)

Peforms the addition.

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<'a> Sub<&'a Rational> for Rational

type Output = Rational

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<Rational> for &'a Rational

type Output = Rational

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<&'a Rational> for &'a Rational

type Output = SubIncomplete<'a>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a Rational) -> SubIncomplete

Performs the - operation.

impl SubAssign<Rational> for Rational

fn sub_assign(&mut self, rhs: Rational)

Performs the -= operation.

impl<'a> SubAssign<&'a Rational> for Rational

fn sub_assign(&mut self, rhs: &Rational)

Performs the -= operation.

impl SubFrom<Rational> for Rational

fn sub_from(&mut self, lhs: Rational)

Peforms the subtraction.

impl<'a> SubFrom<&'a Rational> for Rational

fn sub_from(&mut self, lhs: &Rational)

Peforms the subtraction.

impl Mul<Rational> for Rational

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Rational> for Rational

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<Rational> for &'a Rational

type Output = Rational

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Rational> for &'a Rational

type Output = MulIncomplete<'a>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Rational) -> MulIncomplete

Performs the * operation.

impl MulAssign<Rational> for Rational

fn mul_assign(&mut self, rhs: Rational)

Performs the *= operation.

impl<'a> MulAssign<&'a Rational> for Rational

fn mul_assign(&mut self, rhs: &Rational)

Performs the *= operation.

impl MulFrom<Rational> for Rational

fn mul_from(&mut self, lhs: Rational)

Peforms the multiplication.

impl<'a> MulFrom<&'a Rational> for Rational

fn mul_from(&mut self, lhs: &Rational)

Peforms the multiplication.

impl Div<Rational> for Rational

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a> Div<&'a Rational> for Rational

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a> Div<Rational> for &'a Rational

type Output = Rational

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a> Div<&'a Rational> for &'a Rational

type Output = DivIncomplete<'a>

The resulting type after applying the / operator.

fn div(self, rhs: &'a Rational) -> DivIncomplete

Performs the / operation.

impl DivAssign<Rational> for Rational

fn div_assign(&mut self, rhs: Rational)

Performs the /= operation.

impl<'a> DivAssign<&'a Rational> for Rational

fn div_assign(&mut self, rhs: &Rational)

Performs the /= operation.

impl DivFrom<Rational> for Rational

fn div_from(&mut self, lhs: Rational)

Peforms the division.

impl<'a> DivFrom<&'a Rational> for Rational

fn div_from(&mut self, lhs: &Rational)

Peforms the division.

impl Shl<i32> for Rational

type Output = Rational

The resulting type after applying the << operator.

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

Performs the << operation.

impl<'t> Shl<&'t i32> for Rational

type Output = Rational

The resulting type after applying the << operator.

fn shl(self, rhs: &i32) -> Rational

Performs the << operation.

impl<'b> Shl<i32> for &'b Rational

type Output = ShlI32Incomplete<'b>

The resulting type after applying the << operator.

fn shl(self, rhs: i32) -> ShlI32Incomplete<'b>

Performs the << operation.

impl<'t, 'b> Shl<&'t i32> for &'b Rational

type Output = ShlI32Incomplete<'b>

The resulting type after applying the << operator.

fn shl(self, rhs: &i32) -> ShlI32Incomplete<'b>

Performs the << operation.

impl ShlAssign<i32> for Rational

fn shl_assign(&mut self, rhs: i32)

Performs the <<= operation.

impl<'t> ShlAssign<&'t i32> for Rational

fn shl_assign(&mut self, rhs: &i32)

Performs the <<= operation.

impl Shr<i32> for Rational

type Output = Rational

The resulting type after applying the >> operator.

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

Performs the >> operation.

impl<'t> Shr<&'t i32> for Rational

type Output = Rational

The resulting type after applying the >> operator.

fn shr(self, rhs: &i32) -> Rational

Performs the >> operation.

impl<'b> Shr<i32> for &'b Rational

type Output = ShrI32Incomplete<'b>

The resulting type after applying the >> operator.

fn shr(self, rhs: i32) -> ShrI32Incomplete<'b>

Performs the >> operation.

impl<'t, 'b> Shr<&'t i32> for &'b Rational

type Output = ShrI32Incomplete<'b>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i32) -> ShrI32Incomplete<'b>

Performs the >> operation.

impl ShrAssign<i32> for Rational

fn shr_assign(&mut self, rhs: i32)

Performs the >>= operation.

impl<'t> ShrAssign<&'t i32> for Rational

fn shr_assign(&mut self, rhs: &i32)

Performs the >>= operation.

impl Pow<i32> for Rational

type Output = Rational

The resulting type after the power operation.

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

Performs the power operation.

impl<'t> Pow<&'t i32> for Rational

type Output = Rational

The resulting type after the power operation.

fn pow(self, rhs: &i32) -> Rational

Performs the power operation.

impl<'b> Pow<i32> for &'b Rational

type Output = PowI32Incomplete<'b>

The resulting type after the power operation.

fn pow(self, rhs: i32) -> PowI32Incomplete<'b>

Performs the power operation.

impl<'t, 'b> Pow<&'t i32> for &'b Rational

type Output = PowI32Incomplete<'b>

The resulting type after the power operation.

fn pow(self, rhs: &i32) -> PowI32Incomplete<'b>

Performs the power operation.

impl PowAssign<i32> for Rational

fn pow_assign(&mut self, rhs: i32)

Peforms the power operation.

impl<'t> PowAssign<&'t i32> for Rational

fn pow_assign(&mut self, rhs: &i32)

Peforms the power operation.

impl Shl<u32> for Rational

type Output = Rational

The resulting type after applying the << operator.

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

Performs the << operation.

impl<'t> Shl<&'t u32> for Rational

type Output = Rational

The resulting type after applying the << operator.

fn shl(self, rhs: &u32) -> Rational

Performs the << operation.

impl<'b> Shl<u32> for &'b Rational

type Output = ShlU32Incomplete<'b>

The resulting type after applying the << operator.

fn shl(self, rhs: u32) -> ShlU32Incomplete<'b>

Performs the << operation.

impl<'t, 'b> Shl<&'t u32> for &'b Rational

type Output = ShlU32Incomplete<'b>

The resulting type after applying the << operator.

fn shl(self, rhs: &u32) -> ShlU32Incomplete<'b>

Performs the << operation.

impl ShlAssign<u32> for Rational

fn shl_assign(&mut self, rhs: u32)

Performs the <<= operation.

impl<'t> ShlAssign<&'t u32> for Rational

fn shl_assign(&mut self, rhs: &u32)

Performs the <<= operation.

impl Shr<u32> for Rational

type Output = Rational

The resulting type after applying the >> operator.

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

Performs the >> operation.

impl<'t> Shr<&'t u32> for Rational

type Output = Rational

The resulting type after applying the >> operator.

fn shr(self, rhs: &u32) -> Rational

Performs the >> operation.

impl<'b> Shr<u32> for &'b Rational

type Output = ShrU32Incomplete<'b>

The resulting type after applying the >> operator.

fn shr(self, rhs: u32) -> ShrU32Incomplete<'b>

Performs the >> operation.

impl<'t, 'b> Shr<&'t u32> for &'b Rational

type Output = ShrU32Incomplete<'b>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u32) -> ShrU32Incomplete<'b>

Performs the >> operation.

impl ShrAssign<u32> for Rational

fn shr_assign(&mut self, rhs: u32)

Performs the >>= operation.

impl<'t> ShrAssign<&'t u32> for Rational

fn shr_assign(&mut self, rhs: &u32)

Performs the >>= operation.

impl Pow<u32> for Rational

type Output = Rational

The resulting type after the power operation.

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

Performs the power operation.

impl<'t> Pow<&'t u32> for Rational

type Output = Rational

The resulting type after the power operation.

fn pow(self, rhs: &u32) -> Rational

Performs the power operation.

impl<'b> Pow<u32> for &'b Rational

type Output = PowU32Incomplete<'b>

The resulting type after the power operation.

fn pow(self, rhs: u32) -> PowU32Incomplete<'b>

Performs the power operation.

impl<'t, 'b> Pow<&'t u32> for &'b Rational

type Output = PowU32Incomplete<'b>

The resulting type after the power operation.

fn pow(self, rhs: &u32) -> PowU32Incomplete<'b>

Performs the power operation.

impl PowAssign<u32> for Rational

fn pow_assign(&mut self, rhs: u32)

Peforms the power operation.

impl<'t> PowAssign<&'t u32> for Rational

fn pow_assign(&mut self, rhs: &u32)

Peforms the power operation.

impl<T> Sum<T> for Rational where     Rational: AddAssign<T>,

fn sum<I>(iter: I) -> Rational where     I: Iterator<Item = T>,

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

impl<T> Product<T> for Rational where     Rational: MulAssign<T>,

fn product<I>(iter: I) -> Rational where     I: Iterator<Item = T>,

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

impl Eq for Rational

impl Ord for Rational

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

This method returns an Ordering between self and other.

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

Compares and returns the maximum of two values.

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

Compares and returns the minimum of two values.

impl PartialEq 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 !=.

impl PartialOrd for Rational

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<Integer> for Rational

fn eq(&self, other: &Integer) -> 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 !=.

impl PartialEq<Rational> for Integer

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 !=.

impl PartialOrd<Integer> for Rational

fn partial_cmp(&self, other: &Integer) -> 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 PartialOrd<Rational> for Integer

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<i8> for Rational

fn eq(&self, other: &i8) -> 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 !=.

impl PartialOrd<i8> for Rational

fn partial_cmp(&self, other: &i8) -> 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 PartialEq<Rational> for i8

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 !=.

impl PartialOrd<Rational> for i8

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<i16> for Rational

fn eq(&self, other: &i16) -> 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 !=.

impl PartialOrd<i16> for Rational

fn partial_cmp(&self, other: &i16) -> 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 PartialEq<Rational> for i16

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 !=.

impl PartialOrd<Rational> for i16

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<i32> for Rational

fn eq(&self, other: &i32) -> 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 !=.

impl PartialOrd<i32> for Rational

fn partial_cmp(&self, other: &i32) -> 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 PartialEq<Rational> for i32

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 !=.

impl PartialOrd<Rational> for i32

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<i64> for Rational

fn eq(&self, other: &i64) -> 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 !=.

impl PartialOrd<i64> for Rational

fn partial_cmp(&self, other: &i64) -> 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 PartialEq<Rational> for i64

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 !=.

impl PartialOrd<Rational> for i64

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<i128> for Rational

fn eq(&self, other: &i128) -> 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 !=.

impl PartialOrd<i128> for Rational

fn partial_cmp(&self, other: &i128) -> 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 PartialEq<Rational> for i128

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 !=.

impl PartialOrd<Rational> for i128

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<isize> for Rational

fn eq(&self, other: &isize) -> 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 !=.

impl PartialOrd<isize> for Rational

fn partial_cmp(&self, other: &isize) -> 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 PartialEq<Rational> for isize

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 !=.

impl PartialOrd<Rational> for isize

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<u8> for Rational

fn eq(&self, other: &u8) -> 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 !=.

impl PartialOrd<u8> for Rational

fn partial_cmp(&self, other: &u8) -> 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 PartialEq<Rational> for u8

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 !=.

impl PartialOrd<Rational> for u8

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<u16> for Rational

fn eq(&self, other: &u16) -> 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 !=.

impl PartialOrd<u16> for Rational

fn partial_cmp(&self, other: &u16) -> 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 PartialEq<Rational> for u16

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 !=.

impl PartialOrd<Rational> for u16

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<u32> for Rational

fn eq(&self, other: &u32) -> 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 !=.

impl PartialOrd<u32> for Rational

fn partial_cmp(&self, other: &u32) -> 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 PartialEq<Rational> for u32

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 !=.

impl PartialOrd<Rational> for u32

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<u64> for Rational

fn eq(&self, other: &u64) -> 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 !=.

impl PartialOrd<u64> for Rational

fn partial_cmp(&self, other: &u64) -> 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 PartialEq<Rational> for u64

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 !=.

impl PartialOrd<Rational> for u64

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<u128> for Rational

fn eq(&self, other: &u128) -> 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 !=.

impl PartialOrd<u128> for Rational

fn partial_cmp(&self, other: &u128) -> 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 PartialEq<Rational> for u128

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 !=.

impl PartialOrd<Rational> for u128

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<usize> for Rational

fn eq(&self, other: &usize) -> 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 !=.

impl PartialOrd<usize> for Rational

fn partial_cmp(&self, other: &usize) -> 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 PartialEq<Rational> for usize

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 !=.

impl PartialOrd<Rational> for usize

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, i8)> for Rational

fn eq(&self, other: &(i8, i8)) -> 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 !=.

impl PartialOrd<(i8, i8)> for Rational

fn partial_cmp(&self, other: &(i8, i8)) -> 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 PartialEq<Rational> for (i8, i8)

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 !=.

impl PartialOrd<Rational> for (i8, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, i16)> for Rational

fn eq(&self, other: &(i8, i16)) -> 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 !=.

impl PartialOrd<(i8, i16)> for Rational

fn partial_cmp(&self, other: &(i8, i16)) -> 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 PartialEq<Rational> for (i8, i16)

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 !=.

impl PartialOrd<Rational> for (i8, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, i32)> for Rational

fn eq(&self, other: &(i8, i32)) -> 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 !=.

impl PartialOrd<(i8, i32)> for Rational

fn partial_cmp(&self, other: &(i8, i32)) -> 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 PartialEq<Rational> for (i8, i32)

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 !=.

impl PartialOrd<Rational> for (i8, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, i64)> for Rational

fn eq(&self, other: &(i8, i64)) -> 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 !=.

impl PartialOrd<(i8, i64)> for Rational

fn partial_cmp(&self, other: &(i8, i64)) -> 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 PartialEq<Rational> for (i8, i64)

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 !=.

impl PartialOrd<Rational> for (i8, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, i128)> for Rational

fn eq(&self, other: &(i8, i128)) -> 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 !=.

impl PartialOrd<(i8, i128)> for Rational

fn partial_cmp(&self, other: &(i8, i128)) -> 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 PartialEq<Rational> for (i8, i128)

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 !=.

impl PartialOrd<Rational> for (i8, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, isize)> for Rational

fn eq(&self, other: &(i8, isize)) -> 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 !=.

impl PartialOrd<(i8, isize)> for Rational

fn partial_cmp(&self, other: &(i8, isize)) -> 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 PartialEq<Rational> for (i8, isize)

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 !=.

impl PartialOrd<Rational> for (i8, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, u8)> for Rational

fn eq(&self, other: &(i8, u8)) -> 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 !=.

impl PartialOrd<(i8, u8)> for Rational

fn partial_cmp(&self, other: &(i8, u8)) -> 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 PartialEq<Rational> for (i8, u8)

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 !=.

impl PartialOrd<Rational> for (i8, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, u16)> for Rational

fn eq(&self, other: &(i8, u16)) -> 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 !=.

impl PartialOrd<(i8, u16)> for Rational

fn partial_cmp(&self, other: &(i8, u16)) -> 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 PartialEq<Rational> for (i8, u16)

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 !=.

impl PartialOrd<Rational> for (i8, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, u32)> for Rational

fn eq(&self, other: &(i8, u32)) -> 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 !=.

impl PartialOrd<(i8, u32)> for Rational

fn partial_cmp(&self, other: &(i8, u32)) -> 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 PartialEq<Rational> for (i8, u32)

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 !=.

impl PartialOrd<Rational> for (i8, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, u64)> for Rational

fn eq(&self, other: &(i8, u64)) -> 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 !=.

impl PartialOrd<(i8, u64)> for Rational

fn partial_cmp(&self, other: &(i8, u64)) -> 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 PartialEq<Rational> for (i8, u64)

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 !=.

impl PartialOrd<Rational> for (i8, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, u128)> for Rational

fn eq(&self, other: &(i8, u128)) -> 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 !=.

impl PartialOrd<(i8, u128)> for Rational

fn partial_cmp(&self, other: &(i8, u128)) -> 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 PartialEq<Rational> for (i8, u128)

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 !=.

impl PartialOrd<Rational> for (i8, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i8, usize)> for Rational

fn eq(&self, other: &(i8, usize)) -> 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 !=.

impl PartialOrd<(i8, usize)> for Rational

fn partial_cmp(&self, other: &(i8, usize)) -> 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 PartialEq<Rational> for (i8, usize)

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 !=.

impl PartialOrd<Rational> for (i8, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, i8)> for Rational

fn eq(&self, other: &(i16, i8)) -> 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 !=.

impl PartialOrd<(i16, i8)> for Rational

fn partial_cmp(&self, other: &(i16, i8)) -> 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 PartialEq<Rational> for (i16, i8)

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 !=.

impl PartialOrd<Rational> for (i16, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, i16)> for Rational

fn eq(&self, other: &(i16, i16)) -> 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 !=.

impl PartialOrd<(i16, i16)> for Rational

fn partial_cmp(&self, other: &(i16, i16)) -> 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 PartialEq<Rational> for (i16, i16)

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 !=.

impl PartialOrd<Rational> for (i16, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, i32)> for Rational

fn eq(&self, other: &(i16, i32)) -> 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 !=.

impl PartialOrd<(i16, i32)> for Rational

fn partial_cmp(&self, other: &(i16, i32)) -> 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 PartialEq<Rational> for (i16, i32)

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 !=.

impl PartialOrd<Rational> for (i16, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, i64)> for Rational

fn eq(&self, other: &(i16, i64)) -> 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 !=.

impl PartialOrd<(i16, i64)> for Rational

fn partial_cmp(&self, other: &(i16, i64)) -> 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 PartialEq<Rational> for (i16, i64)

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 !=.

impl PartialOrd<Rational> for (i16, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, i128)> for Rational

fn eq(&self, other: &(i16, i128)) -> 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 !=.

impl PartialOrd<(i16, i128)> for Rational

fn partial_cmp(&self, other: &(i16, i128)) -> 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 PartialEq<Rational> for (i16, i128)

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 !=.

impl PartialOrd<Rational> for (i16, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, isize)> for Rational

fn eq(&self, other: &(i16, isize)) -> 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 !=.

impl PartialOrd<(i16, isize)> for Rational

fn partial_cmp(&self, other: &(i16, isize)) -> 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 PartialEq<Rational> for (i16, isize)

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 !=.

impl PartialOrd<Rational> for (i16, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, u8)> for Rational

fn eq(&self, other: &(i16, u8)) -> 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 !=.

impl PartialOrd<(i16, u8)> for Rational

fn partial_cmp(&self, other: &(i16, u8)) -> 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 PartialEq<Rational> for (i16, u8)

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 !=.

impl PartialOrd<Rational> for (i16, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, u16)> for Rational

fn eq(&self, other: &(i16, u16)) -> 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 !=.

impl PartialOrd<(i16, u16)> for Rational

fn partial_cmp(&self, other: &(i16, u16)) -> 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 PartialEq<Rational> for (i16, u16)

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 !=.

impl PartialOrd<Rational> for (i16, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, u32)> for Rational

fn eq(&self, other: &(i16, u32)) -> 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 !=.

impl PartialOrd<(i16, u32)> for Rational

fn partial_cmp(&self, other: &(i16, u32)) -> 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 PartialEq<Rational> for (i16, u32)

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 !=.

impl PartialOrd<Rational> for (i16, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, u64)> for Rational

fn eq(&self, other: &(i16, u64)) -> 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 !=.

impl PartialOrd<(i16, u64)> for Rational

fn partial_cmp(&self, other: &(i16, u64)) -> 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 PartialEq<Rational> for (i16, u64)

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 !=.

impl PartialOrd<Rational> for (i16, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, u128)> for Rational

fn eq(&self, other: &(i16, u128)) -> 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 !=.

impl PartialOrd<(i16, u128)> for Rational

fn partial_cmp(&self, other: &(i16, u128)) -> 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 PartialEq<Rational> for (i16, u128)

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 !=.

impl PartialOrd<Rational> for (i16, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i16, usize)> for Rational

fn eq(&self, other: &(i16, usize)) -> 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 !=.

impl PartialOrd<(i16, usize)> for Rational

fn partial_cmp(&self, other: &(i16, usize)) -> 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 PartialEq<Rational> for (i16, usize)

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 !=.

impl PartialOrd<Rational> for (i16, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, i8)> for Rational

fn eq(&self, other: &(i32, i8)) -> 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 !=.

impl PartialOrd<(i32, i8)> for Rational

fn partial_cmp(&self, other: &(i32, i8)) -> 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 PartialEq<Rational> for (i32, i8)

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 !=.

impl PartialOrd<Rational> for (i32, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, i16)> for Rational

fn eq(&self, other: &(i32, i16)) -> 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 !=.

impl PartialOrd<(i32, i16)> for Rational

fn partial_cmp(&self, other: &(i32, i16)) -> 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 PartialEq<Rational> for (i32, i16)

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 !=.

impl PartialOrd<Rational> for (i32, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, i32)> for Rational

fn eq(&self, other: &(i32, i32)) -> 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 !=.

impl PartialOrd<(i32, i32)> for Rational

fn partial_cmp(&self, other: &(i32, i32)) -> 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 PartialEq<Rational> for (i32, i32)

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 !=.

impl PartialOrd<Rational> for (i32, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, i64)> for Rational

fn eq(&self, other: &(i32, i64)) -> 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 !=.

impl PartialOrd<(i32, i64)> for Rational

fn partial_cmp(&self, other: &(i32, i64)) -> 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 PartialEq<Rational> for (i32, i64)

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 !=.

impl PartialOrd<Rational> for (i32, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, i128)> for Rational

fn eq(&self, other: &(i32, i128)) -> 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 !=.

impl PartialOrd<(i32, i128)> for Rational

fn partial_cmp(&self, other: &(i32, i128)) -> 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 PartialEq<Rational> for (i32, i128)

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 !=.

impl PartialOrd<Rational> for (i32, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, isize)> for Rational

fn eq(&self, other: &(i32, isize)) -> 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 !=.

impl PartialOrd<(i32, isize)> for Rational

fn partial_cmp(&self, other: &(i32, isize)) -> 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 PartialEq<Rational> for (i32, isize)

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 !=.

impl PartialOrd<Rational> for (i32, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, u8)> for Rational

fn eq(&self, other: &(i32, u8)) -> 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 !=.

impl PartialOrd<(i32, u8)> for Rational

fn partial_cmp(&self, other: &(i32, u8)) -> 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 PartialEq<Rational> for (i32, u8)

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 !=.

impl PartialOrd<Rational> for (i32, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, u16)> for Rational

fn eq(&self, other: &(i32, u16)) -> 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 !=.

impl PartialOrd<(i32, u16)> for Rational

fn partial_cmp(&self, other: &(i32, u16)) -> 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 PartialEq<Rational> for (i32, u16)

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 !=.

impl PartialOrd<Rational> for (i32, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, u32)> for Rational

fn eq(&self, other: &(i32, u32)) -> 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 !=.

impl PartialOrd<(i32, u32)> for Rational

fn partial_cmp(&self, other: &(i32, u32)) -> 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 PartialEq<Rational> for (i32, u32)

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 !=.

impl PartialOrd<Rational> for (i32, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, u64)> for Rational

fn eq(&self, other: &(i32, u64)) -> 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 !=.

impl PartialOrd<(i32, u64)> for Rational

fn partial_cmp(&self, other: &(i32, u64)) -> 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 PartialEq<Rational> for (i32, u64)

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 !=.

impl PartialOrd<Rational> for (i32, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, u128)> for Rational

fn eq(&self, other: &(i32, u128)) -> 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 !=.

impl PartialOrd<(i32, u128)> for Rational

fn partial_cmp(&self, other: &(i32, u128)) -> 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 PartialEq<Rational> for (i32, u128)

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 !=.

impl PartialOrd<Rational> for (i32, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i32, usize)> for Rational

fn eq(&self, other: &(i32, usize)) -> 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 !=.

impl PartialOrd<(i32, usize)> for Rational

fn partial_cmp(&self, other: &(i32, usize)) -> 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 PartialEq<Rational> for (i32, usize)

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 !=.

impl PartialOrd<Rational> for (i32, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, i8)> for Rational

fn eq(&self, other: &(i64, i8)) -> 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 !=.

impl PartialOrd<(i64, i8)> for Rational

fn partial_cmp(&self, other: &(i64, i8)) -> 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 PartialEq<Rational> for (i64, i8)

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 !=.

impl PartialOrd<Rational> for (i64, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, i16)> for Rational

fn eq(&self, other: &(i64, i16)) -> 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 !=.

impl PartialOrd<(i64, i16)> for Rational

fn partial_cmp(&self, other: &(i64, i16)) -> 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 PartialEq<Rational> for (i64, i16)

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 !=.

impl PartialOrd<Rational> for (i64, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, i32)> for Rational

fn eq(&self, other: &(i64, i32)) -> 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 !=.

impl PartialOrd<(i64, i32)> for Rational

fn partial_cmp(&self, other: &(i64, i32)) -> 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 PartialEq<Rational> for (i64, i32)

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 !=.

impl PartialOrd<Rational> for (i64, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, i64)> for Rational

fn eq(&self, other: &(i64, i64)) -> 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 !=.

impl PartialOrd<(i64, i64)> for Rational

fn partial_cmp(&self, other: &(i64, i64)) -> 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 PartialEq<Rational> for (i64, i64)

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 !=.

impl PartialOrd<Rational> for (i64, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, i128)> for Rational

fn eq(&self, other: &(i64, i128)) -> 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 !=.

impl PartialOrd<(i64, i128)> for Rational

fn partial_cmp(&self, other: &(i64, i128)) -> 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 PartialEq<Rational> for (i64, i128)

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 !=.

impl PartialOrd<Rational> for (i64, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, isize)> for Rational

fn eq(&self, other: &(i64, isize)) -> 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 !=.

impl PartialOrd<(i64, isize)> for Rational

fn partial_cmp(&self, other: &(i64, isize)) -> 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 PartialEq<Rational> for (i64, isize)

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 !=.

impl PartialOrd<Rational> for (i64, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, u8)> for Rational

fn eq(&self, other: &(i64, u8)) -> 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 !=.

impl PartialOrd<(i64, u8)> for Rational

fn partial_cmp(&self, other: &(i64, u8)) -> 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 PartialEq<Rational> for (i64, u8)

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 !=.

impl PartialOrd<Rational> for (i64, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, u16)> for Rational

fn eq(&self, other: &(i64, u16)) -> 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 !=.

impl PartialOrd<(i64, u16)> for Rational

fn partial_cmp(&self, other: &(i64, u16)) -> 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 PartialEq<Rational> for (i64, u16)

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 !=.

impl PartialOrd<Rational> for (i64, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, u32)> for Rational

fn eq(&self, other: &(i64, u32)) -> 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 !=.

impl PartialOrd<(i64, u32)> for Rational

fn partial_cmp(&self, other: &(i64, u32)) -> 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 PartialEq<Rational> for (i64, u32)

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 !=.

impl PartialOrd<Rational> for (i64, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, u64)> for Rational

fn eq(&self, other: &(i64, u64)) -> 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 !=.

impl PartialOrd<(i64, u64)> for Rational

fn partial_cmp(&self, other: &(i64, u64)) -> 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 PartialEq<Rational> for (i64, u64)

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 !=.

impl PartialOrd<Rational> for (i64, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, u128)> for Rational

fn eq(&self, other: &(i64, u128)) -> 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 !=.

impl PartialOrd<(i64, u128)> for Rational

fn partial_cmp(&self, other: &(i64, u128)) -> 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 PartialEq<Rational> for (i64, u128)

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 !=.

impl PartialOrd<Rational> for (i64, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i64, usize)> for Rational

fn eq(&self, other: &(i64, usize)) -> 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 !=.

impl PartialOrd<(i64, usize)> for Rational

fn partial_cmp(&self, other: &(i64, usize)) -> 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 PartialEq<Rational> for (i64, usize)

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 !=.

impl PartialOrd<Rational> for (i64, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, i8)> for Rational

fn eq(&self, other: &(i128, i8)) -> 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 !=.

impl PartialOrd<(i128, i8)> for Rational

fn partial_cmp(&self, other: &(i128, i8)) -> 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 PartialEq<Rational> for (i128, i8)

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 !=.

impl PartialOrd<Rational> for (i128, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, i16)> for Rational

fn eq(&self, other: &(i128, i16)) -> 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 !=.

impl PartialOrd<(i128, i16)> for Rational

fn partial_cmp(&self, other: &(i128, i16)) -> 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 PartialEq<Rational> for (i128, i16)

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 !=.

impl PartialOrd<Rational> for (i128, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, i32)> for Rational

fn eq(&self, other: &(i128, i32)) -> 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 !=.

impl PartialOrd<(i128, i32)> for Rational

fn partial_cmp(&self, other: &(i128, i32)) -> 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 PartialEq<Rational> for (i128, i32)

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 !=.

impl PartialOrd<Rational> for (i128, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, i64)> for Rational

fn eq(&self, other: &(i128, i64)) -> 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 !=.

impl PartialOrd<(i128, i64)> for Rational

fn partial_cmp(&self, other: &(i128, i64)) -> 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 PartialEq<Rational> for (i128, i64)

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 !=.

impl PartialOrd<Rational> for (i128, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, i128)> for Rational

fn eq(&self, other: &(i128, i128)) -> 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 !=.

impl PartialOrd<(i128, i128)> for Rational

fn partial_cmp(&self, other: &(i128, i128)) -> 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 PartialEq<Rational> for (i128, i128)

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 !=.

impl PartialOrd<Rational> for (i128, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, isize)> for Rational

fn eq(&self, other: &(i128, isize)) -> 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 !=.

impl PartialOrd<(i128, isize)> for Rational

fn partial_cmp(&self, other: &(i128, isize)) -> 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 PartialEq<Rational> for (i128, isize)

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 !=.

impl PartialOrd<Rational> for (i128, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, u8)> for Rational

fn eq(&self, other: &(i128, u8)) -> 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 !=.

impl PartialOrd<(i128, u8)> for Rational

fn partial_cmp(&self, other: &(i128, u8)) -> 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 PartialEq<Rational> for (i128, u8)

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 !=.

impl PartialOrd<Rational> for (i128, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, u16)> for Rational

fn eq(&self, other: &(i128, u16)) -> 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 !=.

impl PartialOrd<(i128, u16)> for Rational

fn partial_cmp(&self, other: &(i128, u16)) -> 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 PartialEq<Rational> for (i128, u16)

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 !=.

impl PartialOrd<Rational> for (i128, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, u32)> for Rational

fn eq(&self, other: &(i128, u32)) -> 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 !=.

impl PartialOrd<(i128, u32)> for Rational

fn partial_cmp(&self, other: &(i128, u32)) -> 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 PartialEq<Rational> for (i128, u32)

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 !=.

impl PartialOrd<Rational> for (i128, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, u64)> for Rational

fn eq(&self, other: &(i128, u64)) -> 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 !=.

impl PartialOrd<(i128, u64)> for Rational

fn partial_cmp(&self, other: &(i128, u64)) -> 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 PartialEq<Rational> for (i128, u64)

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 !=.

impl PartialOrd<Rational> for (i128, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, u128)> for Rational

fn eq(&self, other: &(i128, u128)) -> 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 !=.

impl PartialOrd<(i128, u128)> for Rational

fn partial_cmp(&self, other: &(i128, u128)) -> 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 PartialEq<Rational> for (i128, u128)

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 !=.

impl PartialOrd<Rational> for (i128, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(i128, usize)> for Rational

fn eq(&self, other: &(i128, usize)) -> 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 !=.

impl PartialOrd<(i128, usize)> for Rational

fn partial_cmp(&self, other: &(i128, usize)) -> 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 PartialEq<Rational> for (i128, usize)

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 !=.

impl PartialOrd<Rational> for (i128, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, i8)> for Rational

fn eq(&self, other: &(isize, i8)) -> 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 !=.

impl PartialOrd<(isize, i8)> for Rational

fn partial_cmp(&self, other: &(isize, i8)) -> 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 PartialEq<Rational> for (isize, i8)

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 !=.

impl PartialOrd<Rational> for (isize, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, i16)> for Rational

fn eq(&self, other: &(isize, i16)) -> 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 !=.

impl PartialOrd<(isize, i16)> for Rational

fn partial_cmp(&self, other: &(isize, i16)) -> 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 PartialEq<Rational> for (isize, i16)

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 !=.

impl PartialOrd<Rational> for (isize, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, i32)> for Rational

fn eq(&self, other: &(isize, i32)) -> 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 !=.

impl PartialOrd<(isize, i32)> for Rational

fn partial_cmp(&self, other: &(isize, i32)) -> 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 PartialEq<Rational> for (isize, i32)

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 !=.

impl PartialOrd<Rational> for (isize, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, i64)> for Rational

fn eq(&self, other: &(isize, i64)) -> 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 !=.

impl PartialOrd<(isize, i64)> for Rational

fn partial_cmp(&self, other: &(isize, i64)) -> 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 PartialEq<Rational> for (isize, i64)

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 !=.

impl PartialOrd<Rational> for (isize, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, i128)> for Rational

fn eq(&self, other: &(isize, i128)) -> 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 !=.

impl PartialOrd<(isize, i128)> for Rational

fn partial_cmp(&self, other: &(isize, i128)) -> 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 PartialEq<Rational> for (isize, i128)

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 !=.

impl PartialOrd<Rational> for (isize, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, isize)> for Rational

fn eq(&self, other: &(isize, isize)) -> 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 !=.

impl PartialOrd<(isize, isize)> for Rational

fn partial_cmp(&self, other: &(isize, isize)) -> 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 PartialEq<Rational> for (isize, isize)

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 !=.

impl PartialOrd<Rational> for (isize, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, u8)> for Rational

fn eq(&self, other: &(isize, u8)) -> 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 !=.

impl PartialOrd<(isize, u8)> for Rational

fn partial_cmp(&self, other: &(isize, u8)) -> 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 PartialEq<Rational> for (isize, u8)

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 !=.

impl PartialOrd<Rational> for (isize, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, u16)> for Rational

fn eq(&self, other: &(isize, u16)) -> 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 !=.

impl PartialOrd<(isize, u16)> for Rational

fn partial_cmp(&self, other: &(isize, u16)) -> 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 PartialEq<Rational> for (isize, u16)

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 !=.

impl PartialOrd<Rational> for (isize, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, u32)> for Rational

fn eq(&self, other: &(isize, u32)) -> 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 !=.

impl PartialOrd<(isize, u32)> for Rational

fn partial_cmp(&self, other: &(isize, u32)) -> 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 PartialEq<Rational> for (isize, u32)

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 !=.

impl PartialOrd<Rational> for (isize, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, u64)> for Rational

fn eq(&self, other: &(isize, u64)) -> 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 !=.

impl PartialOrd<(isize, u64)> for Rational

fn partial_cmp(&self, other: &(isize, u64)) -> 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 PartialEq<Rational> for (isize, u64)

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 !=.

impl PartialOrd<Rational> for (isize, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, u128)> for Rational

fn eq(&self, other: &(isize, u128)) -> 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 !=.

impl PartialOrd<(isize, u128)> for Rational

fn partial_cmp(&self, other: &(isize, u128)) -> 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 PartialEq<Rational> for (isize, u128)

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 !=.

impl PartialOrd<Rational> for (isize, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(isize, usize)> for Rational

fn eq(&self, other: &(isize, usize)) -> 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 !=.

impl PartialOrd<(isize, usize)> for Rational

fn partial_cmp(&self, other: &(isize, usize)) -> 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 PartialEq<Rational> for (isize, usize)

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 !=.

impl PartialOrd<Rational> for (isize, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, i8)> for Rational

fn eq(&self, other: &(u8, i8)) -> 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 !=.

impl PartialOrd<(u8, i8)> for Rational

fn partial_cmp(&self, other: &(u8, i8)) -> 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 PartialEq<Rational> for (u8, i8)

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 !=.

impl PartialOrd<Rational> for (u8, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, i16)> for Rational

fn eq(&self, other: &(u8, i16)) -> 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 !=.

impl PartialOrd<(u8, i16)> for Rational

fn partial_cmp(&self, other: &(u8, i16)) -> 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 PartialEq<Rational> for (u8, i16)

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 !=.

impl PartialOrd<Rational> for (u8, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, i32)> for Rational

fn eq(&self, other: &(u8, i32)) -> 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 !=.

impl PartialOrd<(u8, i32)> for Rational

fn partial_cmp(&self, other: &(u8, i32)) -> 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 PartialEq<Rational> for (u8, i32)

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 !=.

impl PartialOrd<Rational> for (u8, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, i64)> for Rational

fn eq(&self, other: &(u8, i64)) -> 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 !=.

impl PartialOrd<(u8, i64)> for Rational

fn partial_cmp(&self, other: &(u8, i64)) -> 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 PartialEq<Rational> for (u8, i64)

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 !=.

impl PartialOrd<Rational> for (u8, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, i128)> for Rational

fn eq(&self, other: &(u8, i128)) -> 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 !=.

impl PartialOrd<(u8, i128)> for Rational

fn partial_cmp(&self, other: &(u8, i128)) -> 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 PartialEq<Rational> for (u8, i128)

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 !=.

impl PartialOrd<Rational> for (u8, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, isize)> for Rational

fn eq(&self, other: &(u8, isize)) -> 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 !=.

impl PartialOrd<(u8, isize)> for Rational

fn partial_cmp(&self, other: &(u8, isize)) -> 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 PartialEq<Rational> for (u8, isize)

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 !=.

impl PartialOrd<Rational> for (u8, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, u8)> for Rational

fn eq(&self, other: &(u8, u8)) -> 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 !=.

impl PartialOrd<(u8, u8)> for Rational

fn partial_cmp(&self, other: &(u8, u8)) -> 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 PartialEq<Rational> for (u8, u8)

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 !=.

impl PartialOrd<Rational> for (u8, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, u16)> for Rational

fn eq(&self, other: &(u8, u16)) -> 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 !=.

impl PartialOrd<(u8, u16)> for Rational

fn partial_cmp(&self, other: &(u8, u16)) -> 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 PartialEq<Rational> for (u8, u16)

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 !=.

impl PartialOrd<Rational> for (u8, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, u32)> for Rational

fn eq(&self, other: &(u8, u32)) -> 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 !=.

impl PartialOrd<(u8, u32)> for Rational

fn partial_cmp(&self, other: &(u8, u32)) -> 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 PartialEq<Rational> for (u8, u32)

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 !=.

impl PartialOrd<Rational> for (u8, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, u64)> for Rational

fn eq(&self, other: &(u8, u64)) -> 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 !=.

impl PartialOrd<(u8, u64)> for Rational

fn partial_cmp(&self, other: &(u8, u64)) -> 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 PartialEq<Rational> for (u8, u64)

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 !=.

impl PartialOrd<Rational> for (u8, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, u128)> for Rational

fn eq(&self, other: &(u8, u128)) -> 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 !=.

impl PartialOrd<(u8, u128)> for Rational

fn partial_cmp(&self, other: &(u8, u128)) -> 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 PartialEq<Rational> for (u8, u128)

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 !=.

impl PartialOrd<Rational> for (u8, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u8, usize)> for Rational

fn eq(&self, other: &(u8, usize)) -> 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 !=.

impl PartialOrd<(u8, usize)> for Rational

fn partial_cmp(&self, other: &(u8, usize)) -> 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 PartialEq<Rational> for (u8, usize)

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 !=.

impl PartialOrd<Rational> for (u8, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, i8)> for Rational

fn eq(&self, other: &(u16, i8)) -> 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 !=.

impl PartialOrd<(u16, i8)> for Rational

fn partial_cmp(&self, other: &(u16, i8)) -> 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 PartialEq<Rational> for (u16, i8)

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 !=.

impl PartialOrd<Rational> for (u16, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, i16)> for Rational

fn eq(&self, other: &(u16, i16)) -> 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 !=.

impl PartialOrd<(u16, i16)> for Rational

fn partial_cmp(&self, other: &(u16, i16)) -> 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 PartialEq<Rational> for (u16, i16)

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 !=.

impl PartialOrd<Rational> for (u16, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, i32)> for Rational

fn eq(&self, other: &(u16, i32)) -> 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 !=.

impl PartialOrd<(u16, i32)> for Rational

fn partial_cmp(&self, other: &(u16, i32)) -> 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 PartialEq<Rational> for (u16, i32)

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 !=.

impl PartialOrd<Rational> for (u16, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, i64)> for Rational

fn eq(&self, other: &(u16, i64)) -> 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 !=.

impl PartialOrd<(u16, i64)> for Rational

fn partial_cmp(&self, other: &(u16, i64)) -> 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 PartialEq<Rational> for (u16, i64)

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 !=.

impl PartialOrd<Rational> for (u16, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, i128)> for Rational

fn eq(&self, other: &(u16, i128)) -> 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 !=.

impl PartialOrd<(u16, i128)> for Rational

fn partial_cmp(&self, other: &(u16, i128)) -> 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 PartialEq<Rational> for (u16, i128)

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 !=.

impl PartialOrd<Rational> for (u16, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, isize)> for Rational

fn eq(&self, other: &(u16, isize)) -> 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 !=.

impl PartialOrd<(u16, isize)> for Rational

fn partial_cmp(&self, other: &(u16, isize)) -> 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 PartialEq<Rational> for (u16, isize)

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 !=.

impl PartialOrd<Rational> for (u16, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, u8)> for Rational

fn eq(&self, other: &(u16, u8)) -> 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 !=.

impl PartialOrd<(u16, u8)> for Rational

fn partial_cmp(&self, other: &(u16, u8)) -> 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 PartialEq<Rational> for (u16, u8)

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 !=.

impl PartialOrd<Rational> for (u16, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, u16)> for Rational

fn eq(&self, other: &(u16, u16)) -> 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 !=.

impl PartialOrd<(u16, u16)> for Rational

fn partial_cmp(&self, other: &(u16, u16)) -> 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 PartialEq<Rational> for (u16, u16)

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 !=.

impl PartialOrd<Rational> for (u16, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, u32)> for Rational

fn eq(&self, other: &(u16, u32)) -> 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 !=.

impl PartialOrd<(u16, u32)> for Rational

fn partial_cmp(&self, other: &(u16, u32)) -> 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 PartialEq<Rational> for (u16, u32)

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 !=.

impl PartialOrd<Rational> for (u16, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, u64)> for Rational

fn eq(&self, other: &(u16, u64)) -> 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 !=.

impl PartialOrd<(u16, u64)> for Rational

fn partial_cmp(&self, other: &(u16, u64)) -> 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 PartialEq<Rational> for (u16, u64)

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 !=.

impl PartialOrd<Rational> for (u16, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, u128)> for Rational

fn eq(&self, other: &(u16, u128)) -> 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 !=.

impl PartialOrd<(u16, u128)> for Rational

fn partial_cmp(&self, other: &(u16, u128)) -> 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 PartialEq<Rational> for (u16, u128)

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 !=.

impl PartialOrd<Rational> for (u16, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u16, usize)> for Rational

fn eq(&self, other: &(u16, usize)) -> 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 !=.

impl PartialOrd<(u16, usize)> for Rational

fn partial_cmp(&self, other: &(u16, usize)) -> 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 PartialEq<Rational> for (u16, usize)

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 !=.

impl PartialOrd<Rational> for (u16, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, i8)> for Rational

fn eq(&self, other: &(u32, i8)) -> 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 !=.

impl PartialOrd<(u32, i8)> for Rational

fn partial_cmp(&self, other: &(u32, i8)) -> 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 PartialEq<Rational> for (u32, i8)

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 !=.

impl PartialOrd<Rational> for (u32, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, i16)> for Rational

fn eq(&self, other: &(u32, i16)) -> 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 !=.

impl PartialOrd<(u32, i16)> for Rational

fn partial_cmp(&self, other: &(u32, i16)) -> 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 PartialEq<Rational> for (u32, i16)

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 !=.

impl PartialOrd<Rational> for (u32, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, i32)> for Rational

fn eq(&self, other: &(u32, i32)) -> 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 !=.

impl PartialOrd<(u32, i32)> for Rational

fn partial_cmp(&self, other: &(u32, i32)) -> 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 PartialEq<Rational> for (u32, i32)

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 !=.

impl PartialOrd<Rational> for (u32, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, i64)> for Rational

fn eq(&self, other: &(u32, i64)) -> 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 !=.

impl PartialOrd<(u32, i64)> for Rational

fn partial_cmp(&self, other: &(u32, i64)) -> 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 PartialEq<Rational> for (u32, i64)

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 !=.

impl PartialOrd<Rational> for (u32, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, i128)> for Rational

fn eq(&self, other: &(u32, i128)) -> 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 !=.

impl PartialOrd<(u32, i128)> for Rational

fn partial_cmp(&self, other: &(u32, i128)) -> 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 PartialEq<Rational> for (u32, i128)

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 !=.

impl PartialOrd<Rational> for (u32, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, isize)> for Rational

fn eq(&self, other: &(u32, isize)) -> 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 !=.

impl PartialOrd<(u32, isize)> for Rational

fn partial_cmp(&self, other: &(u32, isize)) -> 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 PartialEq<Rational> for (u32, isize)

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 !=.

impl PartialOrd<Rational> for (u32, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, u8)> for Rational

fn eq(&self, other: &(u32, u8)) -> 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 !=.

impl PartialOrd<(u32, u8)> for Rational

fn partial_cmp(&self, other: &(u32, u8)) -> 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 PartialEq<Rational> for (u32, u8)

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 !=.

impl PartialOrd<Rational> for (u32, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, u16)> for Rational

fn eq(&self, other: &(u32, u16)) -> 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 !=.

impl PartialOrd<(u32, u16)> for Rational

fn partial_cmp(&self, other: &(u32, u16)) -> 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 PartialEq<Rational> for (u32, u16)

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 !=.

impl PartialOrd<Rational> for (u32, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, u32)> for Rational

fn eq(&self, other: &(u32, u32)) -> 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 !=.

impl PartialOrd<(u32, u32)> for Rational

fn partial_cmp(&self, other: &(u32, u32)) -> 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 PartialEq<Rational> for (u32, u32)

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 !=.

impl PartialOrd<Rational> for (u32, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, u64)> for Rational

fn eq(&self, other: &(u32, u64)) -> 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 !=.

impl PartialOrd<(u32, u64)> for Rational

fn partial_cmp(&self, other: &(u32, u64)) -> 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 PartialEq<Rational> for (u32, u64)

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 !=.

impl PartialOrd<Rational> for (u32, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, u128)> for Rational

fn eq(&self, other: &(u32, u128)) -> 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 !=.

impl PartialOrd<(u32, u128)> for Rational

fn partial_cmp(&self, other: &(u32, u128)) -> 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 PartialEq<Rational> for (u32, u128)

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 !=.

impl PartialOrd<Rational> for (u32, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u32, usize)> for Rational

fn eq(&self, other: &(u32, usize)) -> 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 !=.

impl PartialOrd<(u32, usize)> for Rational

fn partial_cmp(&self, other: &(u32, usize)) -> 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 PartialEq<Rational> for (u32, usize)

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 !=.

impl PartialOrd<Rational> for (u32, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, i8)> for Rational

fn eq(&self, other: &(u64, i8)) -> 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 !=.

impl PartialOrd<(u64, i8)> for Rational

fn partial_cmp(&self, other: &(u64, i8)) -> 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 PartialEq<Rational> for (u64, i8)

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 !=.

impl PartialOrd<Rational> for (u64, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, i16)> for Rational

fn eq(&self, other: &(u64, i16)) -> 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 !=.

impl PartialOrd<(u64, i16)> for Rational

fn partial_cmp(&self, other: &(u64, i16)) -> 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 PartialEq<Rational> for (u64, i16)

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 !=.

impl PartialOrd<Rational> for (u64, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, i32)> for Rational

fn eq(&self, other: &(u64, i32)) -> 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 !=.

impl PartialOrd<(u64, i32)> for Rational

fn partial_cmp(&self, other: &(u64, i32)) -> 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 PartialEq<Rational> for (u64, i32)

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 !=.

impl PartialOrd<Rational> for (u64, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, i64)> for Rational

fn eq(&self, other: &(u64, i64)) -> 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 !=.

impl PartialOrd<(u64, i64)> for Rational

fn partial_cmp(&self, other: &(u64, i64)) -> 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 PartialEq<Rational> for (u64, i64)

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 !=.

impl PartialOrd<Rational> for (u64, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, i128)> for Rational

fn eq(&self, other: &(u64, i128)) -> 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 !=.

impl PartialOrd<(u64, i128)> for Rational

fn partial_cmp(&self, other: &(u64, i128)) -> 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 PartialEq<Rational> for (u64, i128)

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 !=.

impl PartialOrd<Rational> for (u64, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, isize)> for Rational

fn eq(&self, other: &(u64, isize)) -> 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 !=.

impl PartialOrd<(u64, isize)> for Rational

fn partial_cmp(&self, other: &(u64, isize)) -> 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 PartialEq<Rational> for (u64, isize)

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 !=.

impl PartialOrd<Rational> for (u64, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, u8)> for Rational

fn eq(&self, other: &(u64, u8)) -> 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 !=.

impl PartialOrd<(u64, u8)> for Rational

fn partial_cmp(&self, other: &(u64, u8)) -> 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 PartialEq<Rational> for (u64, u8)

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 !=.

impl PartialOrd<Rational> for (u64, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, u16)> for Rational

fn eq(&self, other: &(u64, u16)) -> 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 !=.

impl PartialOrd<(u64, u16)> for Rational

fn partial_cmp(&self, other: &(u64, u16)) -> 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 PartialEq<Rational> for (u64, u16)

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 !=.

impl PartialOrd<Rational> for (u64, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, u32)> for Rational

fn eq(&self, other: &(u64, u32)) -> 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 !=.

impl PartialOrd<(u64, u32)> for Rational

fn partial_cmp(&self, other: &(u64, u32)) -> 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 PartialEq<Rational> for (u64, u32)

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 !=.

impl PartialOrd<Rational> for (u64, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, u64)> for Rational

fn eq(&self, other: &(u64, u64)) -> 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 !=.

impl PartialOrd<(u64, u64)> for Rational

fn partial_cmp(&self, other: &(u64, u64)) -> 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 PartialEq<Rational> for (u64, u64)

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 !=.

impl PartialOrd<Rational> for (u64, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, u128)> for Rational

fn eq(&self, other: &(u64, u128)) -> 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 !=.

impl PartialOrd<(u64, u128)> for Rational

fn partial_cmp(&self, other: &(u64, u128)) -> 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 PartialEq<Rational> for (u64, u128)

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 !=.

impl PartialOrd<Rational> for (u64, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u64, usize)> for Rational

fn eq(&self, other: &(u64, usize)) -> 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 !=.

impl PartialOrd<(u64, usize)> for Rational

fn partial_cmp(&self, other: &(u64, usize)) -> 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 PartialEq<Rational> for (u64, usize)

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 !=.

impl PartialOrd<Rational> for (u64, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, i8)> for Rational

fn eq(&self, other: &(u128, i8)) -> 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 !=.

impl PartialOrd<(u128, i8)> for Rational

fn partial_cmp(&self, other: &(u128, i8)) -> 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 PartialEq<Rational> for (u128, i8)

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 !=.

impl PartialOrd<Rational> for (u128, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, i16)> for Rational

fn eq(&self, other: &(u128, i16)) -> 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 !=.

impl PartialOrd<(u128, i16)> for Rational

fn partial_cmp(&self, other: &(u128, i16)) -> 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 PartialEq<Rational> for (u128, i16)

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 !=.

impl PartialOrd<Rational> for (u128, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, i32)> for Rational

fn eq(&self, other: &(u128, i32)) -> 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 !=.

impl PartialOrd<(u128, i32)> for Rational

fn partial_cmp(&self, other: &(u128, i32)) -> 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 PartialEq<Rational> for (u128, i32)

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 !=.

impl PartialOrd<Rational> for (u128, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, i64)> for Rational

fn eq(&self, other: &(u128, i64)) -> 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 !=.

impl PartialOrd<(u128, i64)> for Rational

fn partial_cmp(&self, other: &(u128, i64)) -> 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 PartialEq<Rational> for (u128, i64)

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 !=.

impl PartialOrd<Rational> for (u128, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, i128)> for Rational

fn eq(&self, other: &(u128, i128)) -> 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 !=.

impl PartialOrd<(u128, i128)> for Rational

fn partial_cmp(&self, other: &(u128, i128)) -> 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 PartialEq<Rational> for (u128, i128)

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 !=.

impl PartialOrd<Rational> for (u128, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, isize)> for Rational

fn eq(&self, other: &(u128, isize)) -> 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 !=.

impl PartialOrd<(u128, isize)> for Rational

fn partial_cmp(&self, other: &(u128, isize)) -> 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 PartialEq<Rational> for (u128, isize)

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 !=.

impl PartialOrd<Rational> for (u128, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, u8)> for Rational

fn eq(&self, other: &(u128, u8)) -> 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 !=.

impl PartialOrd<(u128, u8)> for Rational

fn partial_cmp(&self, other: &(u128, u8)) -> 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 PartialEq<Rational> for (u128, u8)

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 !=.

impl PartialOrd<Rational> for (u128, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, u16)> for Rational

fn eq(&self, other: &(u128, u16)) -> 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 !=.

impl PartialOrd<(u128, u16)> for Rational

fn partial_cmp(&self, other: &(u128, u16)) -> 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 PartialEq<Rational> for (u128, u16)

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 !=.

impl PartialOrd<Rational> for (u128, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, u32)> for Rational

fn eq(&self, other: &(u128, u32)) -> 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 !=.

impl PartialOrd<(u128, u32)> for Rational

fn partial_cmp(&self, other: &(u128, u32)) -> 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 PartialEq<Rational> for (u128, u32)

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 !=.

impl PartialOrd<Rational> for (u128, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, u64)> for Rational

fn eq(&self, other: &(u128, u64)) -> 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 !=.

impl PartialOrd<(u128, u64)> for Rational

fn partial_cmp(&self, other: &(u128, u64)) -> 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 PartialEq<Rational> for (u128, u64)

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 !=.

impl PartialOrd<Rational> for (u128, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, u128)> for Rational

fn eq(&self, other: &(u128, u128)) -> 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 !=.

impl PartialOrd<(u128, u128)> for Rational

fn partial_cmp(&self, other: &(u128, u128)) -> 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 PartialEq<Rational> for (u128, u128)

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 !=.

impl PartialOrd<Rational> for (u128, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(u128, usize)> for Rational

fn eq(&self, other: &(u128, usize)) -> 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 !=.

impl PartialOrd<(u128, usize)> for Rational

fn partial_cmp(&self, other: &(u128, usize)) -> 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 PartialEq<Rational> for (u128, usize)

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 !=.

impl PartialOrd<Rational> for (u128, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, i8)> for Rational

fn eq(&self, other: &(usize, i8)) -> 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 !=.

impl PartialOrd<(usize, i8)> for Rational

fn partial_cmp(&self, other: &(usize, i8)) -> 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 PartialEq<Rational> for (usize, i8)

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 !=.

impl PartialOrd<Rational> for (usize, i8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, i16)> for Rational

fn eq(&self, other: &(usize, i16)) -> 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 !=.

impl PartialOrd<(usize, i16)> for Rational

fn partial_cmp(&self, other: &(usize, i16)) -> 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 PartialEq<Rational> for (usize, i16)

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 !=.

impl PartialOrd<Rational> for (usize, i16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, i32)> for Rational

fn eq(&self, other: &(usize, i32)) -> 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 !=.

impl PartialOrd<(usize, i32)> for Rational

fn partial_cmp(&self, other: &(usize, i32)) -> 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 PartialEq<Rational> for (usize, i32)

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 !=.

impl PartialOrd<Rational> for (usize, i32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, i64)> for Rational

fn eq(&self, other: &(usize, i64)) -> 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 !=.

impl PartialOrd<(usize, i64)> for Rational

fn partial_cmp(&self, other: &(usize, i64)) -> 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 PartialEq<Rational> for (usize, i64)

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 !=.

impl PartialOrd<Rational> for (usize, i64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, i128)> for Rational

fn eq(&self, other: &(usize, i128)) -> 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 !=.

impl PartialOrd<(usize, i128)> for Rational

fn partial_cmp(&self, other: &(usize, i128)) -> 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 PartialEq<Rational> for (usize, i128)

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 !=.

impl PartialOrd<Rational> for (usize, i128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, isize)> for Rational

fn eq(&self, other: &(usize, isize)) -> 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 !=.

impl PartialOrd<(usize, isize)> for Rational

fn partial_cmp(&self, other: &(usize, isize)) -> 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 PartialEq<Rational> for (usize, isize)

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 !=.

impl PartialOrd<Rational> for (usize, isize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, u8)> for Rational

fn eq(&self, other: &(usize, u8)) -> 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 !=.

impl PartialOrd<(usize, u8)> for Rational

fn partial_cmp(&self, other: &(usize, u8)) -> 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 PartialEq<Rational> for (usize, u8)

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 !=.

impl PartialOrd<Rational> for (usize, u8)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, u16)> for Rational

fn eq(&self, other: &(usize, u16)) -> 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 !=.

impl PartialOrd<(usize, u16)> for Rational

fn partial_cmp(&self, other: &(usize, u16)) -> 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 PartialEq<Rational> for (usize, u16)

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 !=.

impl PartialOrd<Rational> for (usize, u16)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, u32)> for Rational

fn eq(&self, other: &(usize, u32)) -> 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 !=.

impl PartialOrd<(usize, u32)> for Rational

fn partial_cmp(&self, other: &(usize, u32)) -> 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 PartialEq<Rational> for (usize, u32)

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 !=.

impl PartialOrd<Rational> for (usize, u32)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, u64)> for Rational

fn eq(&self, other: &(usize, u64)) -> 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 !=.

impl PartialOrd<(usize, u64)> for Rational

fn partial_cmp(&self, other: &(usize, u64)) -> 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 PartialEq<Rational> for (usize, u64)

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 !=.

impl PartialOrd<Rational> for (usize, u64)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, u128)> for Rational

fn eq(&self, other: &(usize, u128)) -> 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 !=.

impl PartialOrd<(usize, u128)> for Rational

fn partial_cmp(&self, other: &(usize, u128)) -> 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 PartialEq<Rational> for (usize, u128)

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 !=.

impl PartialOrd<Rational> for (usize, u128)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<(usize, usize)> for Rational

fn eq(&self, other: &(usize, usize)) -> 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 !=.

impl PartialOrd<(usize, usize)> for Rational

fn partial_cmp(&self, other: &(usize, usize)) -> 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 PartialEq<Rational> for (usize, usize)

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 !=.

impl PartialOrd<Rational> for (usize, usize)

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<f32> for Rational

fn eq(&self, other: &f32) -> 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 !=.

impl PartialOrd<f32> for Rational

fn partial_cmp(&self, other: &f32) -> 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 PartialEq<Rational> for f32

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 !=.

impl PartialOrd<Rational> for f32

fn partial_cmp(&self, other: &Rational) -> 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 PartialEq<f64> for Rational

fn eq(&self, other: &f64) -> 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 !=.

impl PartialOrd<f64> for Rational

fn partial_cmp(&self, other: &f64) -> 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 PartialEq<Rational> for f64

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 !=.

impl PartialOrd<Rational> for f64

fn partial_cmp(&self, other: &Rational) -> 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 Serialize for Rational

fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> where     S: Serializer,

Serialize this value into the given Serde serializer.

impl<'de> Deserialize<'de> for Rational

fn deserialize<D>(deserializer: D) -> Result<Rational, D::Error> where     D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

fn deserialize_in_place<D>(     deserializer: D,     place: &mut Rational ) -> Result<(), D::Error> where     D: Deserializer<'de>,

impl Default for Rational

fn default() -> Rational

Returns the "default value" for a type.

impl Clone for Rational

fn clone(&self) -> Rational

Returns a copy of the value.

fn clone_from(&mut self, src: &Rational)

Performs copy-assignment from source.

impl Drop for Rational

fn drop(&mut self)

Executes the destructor for this type.

impl Hash for Rational

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

Feeds this value into the given [Hasher].

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

Feeds a slice of this type into the given [Hasher].

impl FromStr for Rational

type Err = ParseRationalError

The associated error which can be returned from parsing.

fn from_str(src: &str) -> Result<Rational, ParseRationalError>

Parses a string s to return a value of this type.

impl Display for Rational

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

Formats the value using the given formatter.

impl Debug for Rational

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

Formats the value using the given formatter.

impl Binary for Rational

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

Formats the value using the given formatter.

impl Octal for Rational

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

Formats the value using the given formatter.

impl LowerHex for Rational

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

Formats the value using the given formatter.

impl UpperHex for Rational

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

Formats the value using the given formatter.

impl Assign for Rational

fn assign(&mut self, src: Rational)

Peforms the assignement.

impl<'a> Assign<&'a Rational> for Rational

fn assign(&mut self, src: &Rational)

Peforms the assignement.

impl<'a> From<&'a Rational> for Rational

fn from(src: &Rational) -> Self

Performs the conversion.

impl<Num> Assign<Num> for Rational where     Integer: Assign<Num>,

fn assign(&mut self, src: Num)

Peforms the assignement.

impl<Num> From<Num> for Rational where     Integer: From<Num>,

fn from(src: Num) -> Self

Performs the conversion.

impl<Num, Den> Assign<(Num, Den)> for Rational where     Integer: Assign<Num> + Assign<Den>,

fn assign(&mut self, src: (Num, Den))

Peforms the assignement.

impl<Num, Den> From<(Num, Den)> for Rational where     Integer: From<Num> + From<Den>,

fn from(src: (Num, Den)) -> Self

Performs the conversion.

impl<'a, Num, Den> Assign<&'a (Num, Den)> for Rational where     Integer: Assign<&'a Num> + Assign<&'a Den>,

fn assign(&mut self, src: &'a (Num, Den))

Peforms the assignement.

impl<'a, Num, Den> From<&'a (Num, Den)> for Rational where     Integer: From<&'a Num> + From<&'a Den>,

fn from(src: &'a (Num, Den)) -> Self

Performs the conversion.

impl TryFrom<f32> for Rational

type Error = TryFromFloatError

🔬 This is a nightly-only experimental API. (try_from)

The type returned in the event of a conversion error.

fn try_from(value: f32) -> Result<Self, TryFromFloatError>

🔬 This is a nightly-only experimental API. (try_from)

Performs the conversion.

impl TryFrom<f64> for Rational

type Error = TryFromFloatError

🔬 This is a nightly-only experimental API. (try_from)

The type returned in the event of a conversion error.

fn try_from(value: f64) -> Result<Self, TryFromFloatError>

🔬 This is a nightly-only experimental API. (try_from)

Performs the conversion.

impl Send for Rational

impl Sync for Rational

impl Add<Rational> for Float

type Output = Float

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a Rational> for Float

type Output = Float

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a Rational> for &'a Float

type Output = AddRationalIncomplete<'a>

The resulting type after applying the + operator.

fn add(self, rhs: &'a Rational) -> AddRationalIncomplete

Performs the + operation.

impl AddAssign<Rational> for Float

fn add_assign(&mut self, rhs: Rational)

Performs the += operation.

impl<'a> AddAssign<&'a Rational> for Float

fn add_assign(&mut self, rhs: &Rational)

Performs the += operation.

impl AddAssignRound<Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn add_assign_round(&mut self, rhs: Rational, round: Round) -> Ordering

Performs the addition.

impl<'a> AddAssignRound<&'a Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn add_assign_round(&mut self, rhs: &Rational, round: Round) -> Ordering

Performs the addition.

impl<'a> Add<Rational> for &'a Float

type Output = AddOwnedRationalIncomplete<'a>

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> AddOwnedRationalIncomplete<'a>

Performs the + operation.

impl Add<Float> for Rational

type Output = Float

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a Float> for Rational

type Output = AddOwnedRationalIncomplete<'a>

The resulting type after applying the + operator.

fn add(self, rhs: &Float) -> AddOwnedRationalIncomplete

Performs the + operation.

impl<'a> Add<Float> for &'a Rational

type Output = Float

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a Float> for &'a Rational

type Output = AddRationalIncomplete<'a>

The resulting type after applying the + operator.

fn add(self, rhs: &'a Float) -> AddRationalIncomplete

Performs the + operation.

impl AddFrom<Rational> for Float

fn add_from(&mut self, lhs: Rational)

Peforms the addition.

impl<'a> AddFrom<&'a Rational> for Float

fn add_from(&mut self, lhs: &Rational)

Peforms the addition.

impl AddFromRound<Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn add_from_round(&mut self, lhs: Rational, round: Round) -> Ordering

Performs the addition.

impl<'a> AddFromRound<&'a Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn add_from_round(&mut self, lhs: &Rational, round: Round) -> Ordering

Performs the addition.

impl Sub<Rational> for Float

type Output = Float

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<&'a Rational> for Float

type Output = Float

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<&'a Rational> for &'a Float

type Output = SubRationalIncomplete<'a>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a Rational) -> SubRationalIncomplete

Performs the - operation.

impl SubAssign<Rational> for Float

fn sub_assign(&mut self, rhs: Rational)

Performs the -= operation.

impl<'a> SubAssign<&'a Rational> for Float

fn sub_assign(&mut self, rhs: &Rational)

Performs the -= operation.

impl SubAssignRound<Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn sub_assign_round(&mut self, rhs: Rational, round: Round) -> Ordering

Performs the subtraction.

impl<'a> SubAssignRound<&'a Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn sub_assign_round(&mut self, rhs: &Rational, round: Round) -> Ordering

Performs the subtraction.

impl<'a> Sub<Rational> for &'a Float

type Output = SubFromRationalIncomplete<'a>

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> SubFromRationalIncomplete<'a>

Performs the - operation.

impl Sub<Float> for Rational

type Output = Float

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<&'a Float> for Rational

type Output = SubFromOwnedRationalIncomplete<'a>

The resulting type after applying the - operator.

fn sub(self, rhs: &Float) -> SubFromOwnedRationalIncomplete

Performs the - operation.

impl<'a> Sub<Float> for &'a Rational

type Output = Float

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<&'a Float> for &'a Rational

type Output = SubOwnedRationalIncomplete<'a>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a Float) -> SubOwnedRationalIncomplete

Performs the - operation.

impl SubFrom<Rational> for Float

fn sub_from(&mut self, lhs: Rational)

Peforms the subtraction.

impl<'a> SubFrom<&'a Rational> for Float

fn sub_from(&mut self, lhs: &Rational)

Peforms the subtraction.

impl SubFromRound<Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn sub_from_round(&mut self, lhs: Rational, round: Round) -> Ordering

Performs the subtraction.

impl<'a> SubFromRound<&'a Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn sub_from_round(&mut self, lhs: &Rational, round: Round) -> Ordering

Performs the subtraction.

impl Mul<Rational> for Float

type Output = Float

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Rational> for Float

type Output = Float

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Rational> for &'a Float

type Output = MulRationalIncomplete<'a>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Rational) -> MulRationalIncomplete

Performs the * operation.

impl MulAssign<Rational> for Float

fn mul_assign(&mut self, rhs: Rational)

Performs the *= operation.

impl<'a> MulAssign<&'a Rational> for Float

fn mul_assign(&mut self, rhs: &Rational)

Performs the *= operation.

impl MulAssignRound<Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn mul_assign_round(&mut self, rhs: Rational, round: Round) -> Ordering

Performs the multiplication.

impl<'a> MulAssignRound<&'a Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn mul_assign_round(&mut self, rhs: &Rational, round: Round) -> Ordering

Performs the multiplication.

impl<'a> Mul<Rational> for &'a Float

type Output = MulOwnedRationalIncomplete<'a>

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> MulOwnedRationalIncomplete<'a>

Performs the * operation.

impl Mul<Float> for Rational

type Output = Float

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Float> for Rational

type Output = MulOwnedRationalIncomplete<'a>

The resulting type after applying the * operator.

fn mul(self, rhs: &Float) -> MulOwnedRationalIncomplete

Performs the * operation.

impl<'a> Mul<Float> for &'a Rational

type Output = Float

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Float> for &'a Rational

type Output = MulRationalIncomplete<'a>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Float) -> MulRationalIncomplete

Performs the * operation.

impl MulFrom<Rational> for Float

fn mul_from(&mut self, lhs: Rational)

Peforms the multiplication.

impl<'a> MulFrom<&'a Rational> for Float

fn mul_from(&mut self, lhs: &Rational)

Peforms the multiplication.

impl MulFromRound<Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn mul_from_round(&mut self, lhs: Rational, round: Round) -> Ordering

Performs the multiplication.

impl<'a> MulFromRound<&'a Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn mul_from_round(&mut self, lhs: &Rational, round: Round) -> Ordering

Performs the multiplication.

impl Div<Rational> for Float

type Output = Float

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a> Div<&'a Rational> for Float

type Output = Float

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a> Div<&'a Rational> for &'a Float

type Output = DivRationalIncomplete<'a>

The resulting type after applying the / operator.

fn div(self, rhs: &'a Rational) -> DivRationalIncomplete

Performs the / operation.

impl DivAssign<Rational> for Float

fn div_assign(&mut self, rhs: Rational)

Performs the /= operation.

impl<'a> DivAssign<&'a Rational> for Float

fn div_assign(&mut self, rhs: &Rational)

Performs the /= operation.

impl DivAssignRound<Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn div_assign_round(&mut self, rhs: Rational, round: Round) -> Ordering

Performs the division.

impl<'a> DivAssignRound<&'a Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn div_assign_round(&mut self, rhs: &Rational, round: Round) -> Ordering

Performs the division.

impl<'a> Div<Rational> for &'a Float

type Output = DivFromRationalIncomplete<'a>

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> DivFromRationalIncomplete<'a>

Performs the / operation.

impl Div<Float> for Rational

type Output = Float

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a> Div<&'a Float> for Rational

type Output = DivFromOwnedRationalIncomplete<'a>

The resulting type after applying the / operator.

fn div(self, rhs: &Float) -> DivFromOwnedRationalIncomplete

Performs the / operation.

impl<'a> Div<Float> for &'a Rational

type Output = Float

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a> Div<&'a Float> for &'a Rational

type Output = DivOwnedRationalIncomplete<'a>

The resulting type after applying the / operator.

fn div(self, rhs: &'a Float) -> DivOwnedRationalIncomplete

Performs the / operation.

impl DivFrom<Rational> for Float

fn div_from(&mut self, lhs: Rational)

Peforms the division.

impl<'a> DivFrom<&'a Rational> for Float

fn div_from(&mut self, lhs: &Rational)

Peforms the division.

impl DivFromRound<Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn div_from_round(&mut self, lhs: Rational, round: Round) -> Ordering

Performs the division.

impl<'a> DivFromRound<&'a Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn div_from_round(&mut self, lhs: &Rational, round: Round) -> Ordering

Performs the division.

impl PartialEq<Rational> for Float

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 !=.

impl PartialEq<Float> for Rational

fn eq(&self, other: &Float) -> 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 !=.

impl PartialOrd<Float> for Rational

fn partial_cmp(&self, other: &Float) -> 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 PartialOrd<Rational> for Float

fn partial_cmp(&self, other: &Rational) -> 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<'a> AssignRound<&'a Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn assign_round(&mut self, src: &Rational, round: Round) -> Ordering

Peforms the assignment.

impl AssignRound<Rational> for Float

type Round = Round

The rounding method.

type Ordering = Ordering

The direction from rounding.

fn assign_round(&mut self, src: Rational, round: Round) -> Ordering

Peforms the assignment.

impl TryFrom<Float> for Rational

type Error = TryFromFloatError

🔬 This is a nightly-only experimental API. (try_from)

The type returned in the event of a conversion error.

fn try_from(value: Float) -> Result<Self, TryFromFloatError>

🔬 This is a nightly-only experimental API. (try_from)

Performs the conversion.

impl<'a> TryFrom<&'a Float> for Rational

type Error = TryFromFloatError

🔬 This is a nightly-only experimental API. (try_from)

The type returned in the event of a conversion error.

fn try_from(value: &Float) -> Result<Self, TryFromFloatError>

🔬 This is a nightly-only experimental API. (try_from)

Performs the conversion.

impl Add<Rational> for Complex

type Output = Complex

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a Rational> for Complex

type Output = Complex

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a Rational> for &'a Complex

type Output = AddRationalIncomplete<'a>

The resulting type after applying the + operator.

fn add(self, rhs: &'a Rational) -> AddRationalIncomplete

Performs the + operation.

impl AddAssign<Rational> for Complex

fn add_assign(&mut self, rhs: Rational)

Performs the += operation.

impl<'a> AddAssign<&'a Rational> for Complex

fn add_assign(&mut self, rhs: &Rational)

Performs the += operation.

impl AddAssignRound<Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn add_assign_round(     &mut self,     rhs: Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the addition.

impl<'a> AddAssignRound<&'a Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn add_assign_round(     &mut self,     rhs: &Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the addition.

impl<'a> Add<Rational> for &'a Complex

type Output = AddOwnedRationalIncomplete<'a>

The resulting type after applying the + operator.

fn add(self, rhs: Rational) -> AddOwnedRationalIncomplete<'a>

Performs the + operation.

impl Add<Complex> for Rational

type Output = Complex

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a Complex> for Rational

type Output = AddOwnedRationalIncomplete<'a>

The resulting type after applying the + operator.

fn add(self, rhs: &Complex) -> AddOwnedRationalIncomplete

Performs the + operation.

impl<'a> Add<Complex> for &'a Rational

type Output = Complex

The resulting type after applying the + operator.

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

Performs the + operation.

impl<'a> Add<&'a Complex> for &'a Rational

type Output = AddRationalIncomplete<'a>

The resulting type after applying the + operator.

fn add(self, rhs: &'a Complex) -> AddRationalIncomplete

Performs the + operation.

impl AddFrom<Rational> for Complex

fn add_from(&mut self, lhs: Rational)

Peforms the addition.

impl<'a> AddFrom<&'a Rational> for Complex

fn add_from(&mut self, lhs: &Rational)

Peforms the addition.

impl AddFromRound<Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn add_from_round(     &mut self,     lhs: Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the addition.

impl<'a> AddFromRound<&'a Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn add_from_round(     &mut self,     lhs: &Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the addition.

impl Sub<Rational> for Complex

type Output = Complex

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<&'a Rational> for Complex

type Output = Complex

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<&'a Rational> for &'a Complex

type Output = SubRationalIncomplete<'a>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a Rational) -> SubRationalIncomplete

Performs the - operation.

impl SubAssign<Rational> for Complex

fn sub_assign(&mut self, rhs: Rational)

Performs the -= operation.

impl<'a> SubAssign<&'a Rational> for Complex

fn sub_assign(&mut self, rhs: &Rational)

Performs the -= operation.

impl SubAssignRound<Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn sub_assign_round(     &mut self,     rhs: Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the subtraction.

impl<'a> SubAssignRound<&'a Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn sub_assign_round(     &mut self,     rhs: &Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the subtraction.

impl<'a> Sub<Rational> for &'a Complex

type Output = SubFromRationalIncomplete<'a>

The resulting type after applying the - operator.

fn sub(self, rhs: Rational) -> SubFromRationalIncomplete<'a>

Performs the - operation.

impl Sub<Complex> for Rational

type Output = Complex

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<&'a Complex> for Rational

type Output = SubFromOwnedRationalIncomplete<'a>

The resulting type after applying the - operator.

fn sub(self, rhs: &Complex) -> SubFromOwnedRationalIncomplete

Performs the - operation.

impl<'a> Sub<Complex> for &'a Rational

type Output = Complex

The resulting type after applying the - operator.

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

Performs the - operation.

impl<'a> Sub<&'a Complex> for &'a Rational

type Output = SubOwnedRationalIncomplete<'a>

The resulting type after applying the - operator.

fn sub(self, rhs: &'a Complex) -> SubOwnedRationalIncomplete

Performs the - operation.

impl SubFrom<Rational> for Complex

fn sub_from(&mut self, lhs: Rational)

Peforms the subtraction.

impl<'a> SubFrom<&'a Rational> for Complex

fn sub_from(&mut self, lhs: &Rational)

Peforms the subtraction.

impl SubFromRound<Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn sub_from_round(     &mut self,     lhs: Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the subtraction.

impl<'a> SubFromRound<&'a Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn sub_from_round(     &mut self,     lhs: &Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the subtraction.

impl Mul<Rational> for Complex

type Output = Complex

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Rational> for Complex

type Output = Complex

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Rational> for &'a Complex

type Output = MulRationalIncomplete<'a>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Rational) -> MulRationalIncomplete

Performs the * operation.

impl MulAssign<Rational> for Complex

fn mul_assign(&mut self, rhs: Rational)

Performs the *= operation.

impl<'a> MulAssign<&'a Rational> for Complex

fn mul_assign(&mut self, rhs: &Rational)

Performs the *= operation.

impl MulAssignRound<Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn mul_assign_round(     &mut self,     rhs: Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the multiplication.

impl<'a> MulAssignRound<&'a Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn mul_assign_round(     &mut self,     rhs: &Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the multiplication.

impl<'a> Mul<Rational> for &'a Complex

type Output = MulOwnedRationalIncomplete<'a>

The resulting type after applying the * operator.

fn mul(self, rhs: Rational) -> MulOwnedRationalIncomplete<'a>

Performs the * operation.

impl Mul<Complex> for Rational

type Output = Complex

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Complex> for Rational

type Output = MulOwnedRationalIncomplete<'a>

The resulting type after applying the * operator.

fn mul(self, rhs: &Complex) -> MulOwnedRationalIncomplete

Performs the * operation.

impl<'a> Mul<Complex> for &'a Rational

type Output = Complex

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a> Mul<&'a Complex> for &'a Rational

type Output = MulRationalIncomplete<'a>

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Complex) -> MulRationalIncomplete

Performs the * operation.

impl MulFrom<Rational> for Complex

fn mul_from(&mut self, lhs: Rational)

Peforms the multiplication.

impl<'a> MulFrom<&'a Rational> for Complex

fn mul_from(&mut self, lhs: &Rational)

Peforms the multiplication.

impl MulFromRound<Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn mul_from_round(     &mut self,     lhs: Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the multiplication.

impl<'a> MulFromRound<&'a Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn mul_from_round(     &mut self,     lhs: &Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the multiplication.

impl Div<Rational> for Complex

type Output = Complex

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a> Div<&'a Rational> for Complex

type Output = Complex

The resulting type after applying the / operator.

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

Performs the / operation.

impl<'a> Div<&'a Rational> for &'a Complex

type Output = DivRationalIncomplete<'a>

The resulting type after applying the / operator.

fn div(self, rhs: &'a Rational) -> DivRationalIncomplete

Performs the / operation.

impl DivAssign<Rational> for Complex

fn div_assign(&mut self, rhs: Rational)

Performs the /= operation.

impl<'a> DivAssign<&'a Rational> for Complex

fn div_assign(&mut self, rhs: &Rational)

Performs the /= operation.

impl DivAssignRound<Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn div_assign_round(     &mut self,     rhs: Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the division.

impl<'a> DivAssignRound<&'a Rational> for Complex

type Round = (Round, Round)

The rounding method.

type Ordering = (Ordering, Ordering)

The direction from rounding.

fn div_assign_round(     &mut self,     rhs: &Rational,     round: (Round, Round) ) -> (Ordering, Ordering)

Performs the division.

impl<'a> Div<Rational> for &'a Complex

type Output = DivOwnedRationalIncomplete<'a>

The resulting type after applying the / operator.

fn div(self, rhs: Rational) -> DivOwnedRationalIncomplete<'a>

Performs the / operation.

impl PartialEq<Rational> for Complex

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 !=.

impl PartialEq<Complex> for Rational

fn eq(&self, other: &Complex) -> 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 !=.