# [−][src]Struct rug::Rational

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:

- The first method consumes the operand.
- The second method has a “
`_mut`

” suffix and mutates the operand. - 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));

## Implementations

`impl Rational`

[src]

`pub fn new() -> Self`

[src]

Constructs a new arbitrary-precision `Rational`

number with
value 0.

# Examples

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

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

[src]

Creates a `Rational`

number from an initialized
GMP rational number.

# Safety

- The function must
*not*be used to create a constant`Rational`

number, though it can be used to create a static`Rational`

number. This is because constant values are*copied*on use, leading to undefined behaviour when they are dropped. - The value must be initialized.
- The
`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

use core::mem::MaybeUninit; use gmp_mpfr_sys::gmp; use rug::Rational; let r = unsafe { let mut q = MaybeUninit::uninit(); gmp::mpq_init(q.as_mut_ptr()); let mut q = q.assume_init(); 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

This can be used to create a static `Rational`

number using
`MPZ_ROINIT_N`

to initialize the raw numerator and
denominator values. See the GMP documentation
for details.

use gmp_mpfr_sys::gmp::{self, limb_t, mpq_t}; use rug::{Integer, Rational}; const NUMER_LIMBS: [limb_t; 2] = [0, 5]; const DENOM_LIMBS: [limb_t; 1] = [3]; const MPQ: mpq_t = unsafe { mpq_t { num: gmp::MPZ_ROINIT_N(NUMER_LIMBS.as_ptr() as *mut limb_t, -2), den: gmp::MPZ_ROINIT_N(DENOM_LIMBS.as_ptr() as *mut limb_t, 1), } }; // Must *not* be const, otherwise it would lead to undefined // behavior on use, as it would create a copy that is dropped. static R: Rational = unsafe { Rational::from_raw(MPQ) }; let numer_check = -((Integer::from(NUMER_LIMBS[1]) << gmp::NUMB_BITS) + NUMER_LIMBS[0]); let denom_check = Integer::from(DENOM_LIMBS[0]); assert_eq!(*R.numer(), numer_check); assert_eq!(*R.denom(), denom_check); let check = Rational::from((&numer_check, &denom_check)); assert_eq!(R, check); assert_eq!(*R.numer(), *check.numer()); assert_eq!(*R.denom(), *check.denom());

`pub fn into_raw(self) -> mpq_t`

[src]

Converts a `Rational`

number into a
GMP rational number.

The returned object should be freed to avoid memory leaks.

# Examples

use gmp_mpfr_sys::gmp; use rug::Rational; 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`

[src]

Returns a pointer to the inner GMP rational number.

The returned pointer will be valid for as long as `self`

is
valid.

# Examples

use gmp_mpfr_sys::gmp; use rug::Rational; 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`

[src]

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

use gmp_mpfr_sys::gmp; use rug::Rational; 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>`

[src]

Creates a `Rational`

number from an `f32`

if it is
finite, losing no precision.

This conversion can also be performed using

`Rational::try_from(value)`

`value.checked_as::<Rational>()`

# Examples

use core::f32; use rug::Rational; // −17.125 can be stored exactly as f32 let r = Rational::from_f32(-17.125).unwrap(); assert_eq!(r, (-17125, 1000)); let inf = Rational::from_f32(f32::INFINITY); assert!(inf.is_none());

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

[src]

Creates a `Rational`

number from an `f64`

if it is
finite, losing no precision.

This conversion can also be performed using

`Rational::try_from(value)`

`value.checked_as::<Rational>()`

# Examples

use core::f64; use rug::Rational; // −17.125 can be stored exactly as f64 let r = Rational::from_f64(-17.125).unwrap(); assert_eq!(r, (-17125, 1000)); let inf = Rational::from_f64(f64::INFINITY); assert!(inf.is_none());

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

[src]

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: AsRef<[u8]>>(`

src: S

) -> Result<ParseIncomplete, ParseRationalError>

[src]

src: S

) -> Result<ParseIncomplete, ParseRationalError>

Parses a decimal string slice (`&str`

) or
byte slice
(`&[u8]`

) into a
`Rational`

number.

The following 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: AsRef<[u8]>>(`

src: S,

radix: i32

) -> Result<ParseIncomplete, ParseRationalError>

[src]

src: S,

radix: i32

) -> Result<ParseIncomplete, ParseRationalError>

Parses a string slice (`&str`

) or byte slice
(`&[u8]`

) into a
`Rational`

number.

The following 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`

[src]

Converts to an `f32`

, rounding towards zero.

This conversion can also be performed using

# Examples

use core::f32; use rug::{rational::SmallRational, Rational}; 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`

[src]

Converts to an `f64`

, rounding towards zero.

This conversion can also be performed using

# Examples

use core::f64; use rug::{rational::SmallRational, Rational}; // 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`

[src]

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<(), ()>`

[src]

Assigns from an `f32`

if it is finite, losing
no precision.

# Examples

use core::f32; use rug::Rational; 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<(), ()>`

[src]

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>,

[src]

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>,

[src]

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`

[src]

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`

[src]

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),

[src]

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)

[src]

&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)`

[src]

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<'_>`

[src]

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<'_>`

[src]

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<'_>`

[src]

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`

[src]

Returns the same result as
`self.cmp(&0.into())`

, but
is faster.

# Examples

use core::cmp::Ordering; use rug::Rational; 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`

[src]

Compares the absolute values.

# Examples

use core::cmp::Ordering; use rug::Rational; 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>,

[src]

I: Iterator<Item = &'a Self>,

Adds a list of `Rational`

values.

The following 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)>,

[src]

I: Iterator<Item = (&'a Self, &'a Self)>,

Finds the dot product of a list of `Rational`

value pairs.

The following 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>,

[src]

I: Iterator<Item = &'a Self>,

Multiplies a list of `Rational`

values.

The following 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`

[src]

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)`

[src]

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<'_>`

[src]

Computes the absolute value.

The following 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`

[src]

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)`

[src]

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<'_>`

[src]

Computes the signum.

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

The following 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<Min, Max>(self, min: &Min, max: &Max) -> Self where`

Self: PartialOrd<Min> + PartialOrd<Max> + for<'a> Assign<&'a Min> + for<'a> Assign<&'a Max>,

[src]

Self: PartialOrd<Min> + PartialOrd<Max> + for<'a> Assign<&'a Min> + for<'a> Assign<&'a 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<Min, Max>(&mut self, min: &Min, max: &Max) where`

Self: PartialOrd<Min> + PartialOrd<Max> + for<'a> Assign<&'a Min> + for<'a> Assign<&'a Max>,

[src]

Self: PartialOrd<Min> + PartialOrd<Max> + for<'a> Assign<&'a Min> + for<'a> Assign<&'a 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<'min, 'max, Min, Max>(`

&self,

min: &'min Min,

max: &'max Max

) -> ClampIncomplete<'_, 'min, 'max, Min, Max> where

Self: PartialOrd<Min> + PartialOrd<Max> + for<'a> Assign<&'a Min> + for<'a> Assign<&'a Max>,

[src]

&self,

min: &'min Min,

max: &'max Max

) -> ClampIncomplete<'_, 'min, 'max, Min, Max> where

Self: PartialOrd<Min> + PartialOrd<Max> + for<'a> Assign<&'a Min> + for<'a> Assign<&'a Max>,

Clamps the value within the specified bounds.

The following 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`

[src]

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)`

[src]

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<'_>`

[src]

Computes the reciprocal.

The following 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`

[src]

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)`

[src]

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<'_>`

[src]

Rounds the number towards zero.

The following 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`

[src]

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)`

[src]

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<'_>`

[src]

Computes the fractional part of the number.

The following 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)`

[src]

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)`

[src]

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<'_>`

[src]

Computes the fractional and truncated parts of the number.

The following are implemented with the returned
incomplete-computation value as `Src`

:

`Assign<Src> for (Rational, Integer)`

`Assign<Src> for (&mut Rational, &mut Integer)`

`From<Src> for (Rational, Integer)`

# 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`

[src]

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)`

[src]

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<'_>`

[src]

Rounds the number upwards (towards plus infinity).

The following 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`

[src]

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)`

[src]

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<'_>`

[src]

Computes the non-positive remainder after rounding up.

The following 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)`

[src]

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)`

[src]

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<'_>`

[src]

Computes the fractional and ceil parts of the number.

The fractional part cannot be greater than zero.

The following are implemented with the returned
incomplete-computation value as `Src`

:

`Assign<Src> for (Rational, Integer)`

`Assign<Src> for (&mut Rational, &mut Integer)`

`From<Src> for (Rational, Integer)`

# 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`

[src]

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)`

[src]

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<'_>`

[src]

Rounds the number downwards (towards minus infinity).

The following 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`

[src]

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)`

[src]

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<'_>`

[src]

Computes the non-negative remainder after rounding down.

The following 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)`

[src]

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)`

[src]

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<'_>`

[src]

Computes the fractional and floor parts of the number.

The fractional part cannot be negative.

The following are implemented with the returned
incomplete-computation value as `Src`

:

`Assign<Src> for (Rational, Integer)`

`Assign<Src> for (&mut Rational, &mut Integer)`

`From<Src> for (Rational, Integer)`

# 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`

[src]

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)`

[src]

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<'_>`

[src]

Rounds the number to the nearest integer.

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

The following 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`

[src]

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)`

[src]

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<'_>`

[src]

Computes the remainder after rounding to the nearest integer.

The following 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)`

[src]

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.

The initial value of `round`

is ignored.

# 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)`

[src]

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.

The initial value of `round`

is ignored.

# 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<'_>`

[src]

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.

The following are implemented with the returned
incomplete-computation value as `Src`

:

`Assign<Src> for (Rational, Integer)`

`Assign<Src> for (&mut Rational, &mut Integer)`

`From<Src> for (Rational, Integer)`

# 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`

[src]

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)`

[src]

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<'_>`

[src]

## Trait Implementations

`impl<'_> Add<&'_ Integer> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<&'_ Rational> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<&'_ Rational> for Float`

[src]

`type Output = Float`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<&'_ Rational> for Complex`

[src]

`type Output = Complex`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<&'_ i128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &i128) -> Rational`

[src]

`impl<'b, '_> Add<&'_ i128> for &'b Rational`

[src]

`type Output = AddI128Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &i128) -> AddI128Incomplete<'b>`

[src]

`impl<'_> Add<&'_ i16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &i16) -> Rational`

[src]

`impl<'b, '_> Add<&'_ i16> for &'b Rational`

[src]

`type Output = AddI16Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &i16) -> AddI16Incomplete<'b>`

[src]

`impl<'_> Add<&'_ i32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'b, '_> Add<&'_ i32> for &'b Rational`

[src]

`type Output = AddI32Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &i32) -> AddI32Incomplete<'b>`

[src]

`impl<'_> Add<&'_ i64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &i64) -> Rational`

[src]

`impl<'b, '_> Add<&'_ i64> for &'b Rational`

[src]

`type Output = AddI64Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &i64) -> AddI64Incomplete<'b>`

[src]

`impl<'_> Add<&'_ i8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &i8) -> Rational`

[src]

`impl<'b, '_> Add<&'_ i8> for &'b Rational`

[src]

`type Output = AddI8Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &i8) -> AddI8Incomplete<'b>`

[src]

`impl<'_> Add<&'_ u128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &u128) -> Rational`

[src]

`impl<'b, '_> Add<&'_ u128> for &'b Rational`

[src]

`type Output = AddU128Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &u128) -> AddU128Incomplete<'b>`

[src]

`impl<'_> Add<&'_ u16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &u16) -> Rational`

[src]

`impl<'b, '_> Add<&'_ u16> for &'b Rational`

[src]

`type Output = AddU16Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &u16) -> AddU16Incomplete<'b>`

[src]

`impl<'_> Add<&'_ u32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'b, '_> Add<&'_ u32> for &'b Rational`

[src]

`type Output = AddU32Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &u32) -> AddU32Incomplete<'b>`

[src]

`impl<'_> Add<&'_ u64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &u64) -> Rational`

[src]

`impl<'b, '_> Add<&'_ u64> for &'b Rational`

[src]

`type Output = AddU64Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &u64) -> AddU64Incomplete<'b>`

[src]

`impl<'_> Add<&'_ u8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &u8) -> Rational`

[src]

`impl<'b, '_> Add<&'_ u8> for &'b Rational`

[src]

`type Output = AddU8Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &u8) -> AddU8Incomplete<'b>`

[src]

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

[src]

`type Output = AddOwnedRationalIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Complex) -> AddOwnedRationalIncomplete<'_>`

[src]

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

[src]

`type Output = AddRationalIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &'a Complex) -> AddRationalIncomplete<'_>`

[src]

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

[src]

`type Output = AddOwnedRationalIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Float) -> AddOwnedRationalIncomplete<'_>`

[src]

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

[src]

`type Output = AddRationalIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &'a Float) -> AddRationalIncomplete<'_>`

[src]

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

[src]

`type Output = AddIntegerIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &'a Integer) -> AddIntegerIncomplete<'_>`

[src]

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

[src]

`type Output = AddIncomplete<'a>`

The resulting type after applying the `+`

operator.

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

[src]

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

[src]

`type Output = AddOwnedIntegerIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &'a Rational) -> AddOwnedIntegerIncomplete<'a>`

[src]

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

[src]

`type Output = AddIntegerIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &'a Rational) -> AddIntegerIncomplete<'_>`

[src]

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

[src]

`type Output = AddRationalIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &'a Rational) -> AddRationalIncomplete<'_>`

[src]

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

[src]

`type Output = AddRationalIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &'a Rational) -> AddRationalIncomplete<'_>`

[src]

`impl<'b> Add<&'b Rational> for i8`

[src]

`type Output = AddI8Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddI8Incomplete<'_>`

[src]

`impl<'b, '_> Add<&'b Rational> for &'_ i8`

[src]

`type Output = AddI8Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddI8Incomplete<'_>`

[src]

`impl<'b> Add<&'b Rational> for u8`

[src]

`type Output = AddU8Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddU8Incomplete<'_>`

[src]

`impl<'b, '_> Add<&'b Rational> for &'_ u8`

[src]

`type Output = AddU8Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddU8Incomplete<'_>`

[src]

`impl<'b> Add<&'b Rational> for u16`

[src]

`type Output = AddU16Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddU16Incomplete<'_>`

[src]

`impl<'b, '_> Add<&'b Rational> for &'_ u16`

[src]

`type Output = AddU16Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddU16Incomplete<'_>`

[src]

`impl<'b> Add<&'b Rational> for u32`

[src]

`type Output = AddU32Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddU32Incomplete<'_>`

[src]

`impl<'b, '_> Add<&'b Rational> for &'_ u32`

[src]

`type Output = AddU32Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddU32Incomplete<'_>`

[src]

`impl<'b> Add<&'b Rational> for u64`

[src]

`type Output = AddU64Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddU64Incomplete<'_>`

[src]

`impl<'b, '_> Add<&'b Rational> for &'_ u64`

[src]

`type Output = AddU64Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddU64Incomplete<'_>`

[src]

`impl<'b> Add<&'b Rational> for u128`

[src]

`type Output = AddU128Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddU128Incomplete<'_>`

[src]

`impl<'b, '_> Add<&'b Rational> for &'_ u128`

[src]

`type Output = AddU128Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddU128Incomplete<'_>`

[src]

`impl<'b> Add<&'b Rational> for i16`

[src]

`type Output = AddI16Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddI16Incomplete<'_>`

[src]

`impl<'b, '_> Add<&'b Rational> for &'_ i16`

[src]

`type Output = AddI16Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddI16Incomplete<'_>`

[src]

`impl<'b> Add<&'b Rational> for i32`

[src]

`type Output = AddI32Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddI32Incomplete<'_>`

[src]

`impl<'b, '_> Add<&'b Rational> for &'_ i32`

[src]

`type Output = AddI32Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddI32Incomplete<'_>`

[src]

`impl<'b> Add<&'b Rational> for i64`

[src]

`type Output = AddI64Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddI64Incomplete<'_>`

[src]

`impl<'b, '_> Add<&'b Rational> for &'_ i64`

[src]

`type Output = AddI64Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddI64Incomplete<'_>`

[src]

`impl<'b> Add<&'b Rational> for i128`

[src]

`type Output = AddI128Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddI128Incomplete<'_>`

[src]

`impl<'b, '_> Add<&'b Rational> for &'_ i128`

[src]

`type Output = AddI128Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: &Rational) -> AddI128Incomplete<'_>`

[src]

`impl Add<Complex> for Rational`

[src]

`type Output = Complex`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: Complex) -> Complex`

[src]

`impl<'_> Add<Complex> for &'_ Rational`

[src]

`type Output = Complex`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: Complex) -> Complex`

[src]

`impl Add<Float> for Rational`

[src]

`type Output = Float`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: Float) -> Float`

[src]

`impl<'_> Add<Float> for &'_ Rational`

[src]

`type Output = Float`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: Float) -> Float`

[src]

`impl Add<Integer> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

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

[src]

`type Output = AddOwnedIntegerIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: Integer) -> AddOwnedIntegerIncomplete<'a>`

[src]

`impl Add<Rational> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for i64`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ i64`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for i128`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ i128`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for u8`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ u8`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for u16`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ u16`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for u32`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ u32`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for Integer`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for u64`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ u64`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for u128`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ u128`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for Float`

[src]

`type Output = Float`

The resulting type after applying the `+`

operator.

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

[src]

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

[src]

`type Output = AddOwnedRationalIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: Rational) -> AddOwnedRationalIncomplete<'a>`

[src]

`impl Add<Rational> for Complex`

[src]

`type Output = Complex`

The resulting type after applying the `+`

operator.

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

[src]

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

[src]

`type Output = AddOwnedRationalIncomplete<'a>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: Rational) -> AddOwnedRationalIncomplete<'a>`

[src]

`impl<'_> Add<Rational> for &'_ Integer`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for i8`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ i8`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for i16`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ i16`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<Rational> for i32`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl<'_> Add<Rational> for &'_ i32`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

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

[src]

`impl Add<i128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: i128) -> Rational`

[src]

`impl<'b> Add<i128> for &'b Rational`

[src]

`type Output = AddI128Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: i128) -> AddI128Incomplete<'b>`

[src]

`impl Add<i16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: i16) -> Rational`

[src]

`impl<'b> Add<i16> for &'b Rational`

[src]

`type Output = AddI16Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: i16) -> AddI16Incomplete<'b>`

[src]

`impl Add<i32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: i32) -> Rational`

[src]

`impl<'b> Add<i32> for &'b Rational`

[src]

`type Output = AddI32Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: i32) -> AddI32Incomplete<'b>`

[src]

`impl Add<i64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: i64) -> Rational`

[src]

`impl<'b> Add<i64> for &'b Rational`

[src]

`type Output = AddI64Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: i64) -> AddI64Incomplete<'b>`

[src]

`impl Add<i8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: i8) -> Rational`

[src]

`impl<'b> Add<i8> for &'b Rational`

[src]

`type Output = AddI8Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: i8) -> AddI8Incomplete<'b>`

[src]

`impl Add<u128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: u128) -> Rational`

[src]

`impl<'b> Add<u128> for &'b Rational`

[src]

`type Output = AddU128Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: u128) -> AddU128Incomplete<'b>`

[src]

`impl Add<u16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: u16) -> Rational`

[src]

`impl<'b> Add<u16> for &'b Rational`

[src]

`type Output = AddU16Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: u16) -> AddU16Incomplete<'b>`

[src]

`impl Add<u32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: u32) -> Rational`

[src]

`impl<'b> Add<u32> for &'b Rational`

[src]

`type Output = AddU32Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: u32) -> AddU32Incomplete<'b>`

[src]

`impl Add<u64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: u64) -> Rational`

[src]

`impl<'b> Add<u64> for &'b Rational`

[src]

`type Output = AddU64Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: u64) -> AddU64Incomplete<'b>`

[src]

`impl Add<u8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: u8) -> Rational`

[src]

`impl<'b> Add<u8> for &'b Rational`

[src]

`type Output = AddU8Incomplete<'b>`

The resulting type after applying the `+`

operator.

`fn add(self, rhs: u8) -> AddU8Incomplete<'b>`

[src]

`impl<'_> AddAssign<&'_ Integer> for Rational`

[src]

`fn add_assign(&mut self, rhs: &Integer)`

[src]

`impl<'_> AddAssign<&'_ Rational> for Rational`

[src]

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

[src]

`impl<'_> AddAssign<&'_ Rational> for Float`

[src]

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

[src]

`impl<'_> AddAssign<&'_ Rational> for Complex`

[src]

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

[src]

`impl<'_> AddAssign<&'_ i128> for Rational`

[src]

`fn add_assign(&mut self, rhs: &i128)`

[src]

`impl<'_> AddAssign<&'_ i16> for Rational`

[src]

`fn add_assign(&mut self, rhs: &i16)`

[src]

`impl<'_> AddAssign<&'_ i32> for Rational`

[src]

`fn add_assign(&mut self, rhs: &i32)`

[src]

`impl<'_> AddAssign<&'_ i64> for Rational`

[src]

`fn add_assign(&mut self, rhs: &i64)`

[src]

`impl<'_> AddAssign<&'_ i8> for Rational`

[src]

`fn add_assign(&mut self, rhs: &i8)`

[src]

`impl<'_> AddAssign<&'_ u128> for Rational`

[src]

`fn add_assign(&mut self, rhs: &u128)`

[src]

`impl<'_> AddAssign<&'_ u16> for Rational`

[src]

`fn add_assign(&mut self, rhs: &u16)`

[src]

`impl<'_> AddAssign<&'_ u32> for Rational`

[src]

`fn add_assign(&mut self, rhs: &u32)`

[src]

`impl<'_> AddAssign<&'_ u64> for Rational`

[src]

`fn add_assign(&mut self, rhs: &u64)`

[src]

`impl<'_> AddAssign<&'_ u8> for Rational`

[src]

`fn add_assign(&mut self, rhs: &u8)`

[src]

`impl AddAssign<Integer> for Rational`

[src]

`fn add_assign(&mut self, rhs: Integer)`

[src]

`impl AddAssign<Rational> for Rational`

[src]

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

[src]

`impl AddAssign<Rational> for Float`

[src]

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

[src]

`impl AddAssign<Rational> for Complex`

[src]

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

[src]

`impl AddAssign<i128> for Rational`

[src]

`fn add_assign(&mut self, rhs: i128)`

[src]

`impl AddAssign<i16> for Rational`

[src]

`fn add_assign(&mut self, rhs: i16)`

[src]

`impl AddAssign<i32> for Rational`

[src]

`fn add_assign(&mut self, rhs: i32)`

[src]

`impl AddAssign<i64> for Rational`

[src]

`fn add_assign(&mut self, rhs: i64)`

[src]

`impl AddAssign<i8> for Rational`

[src]

`fn add_assign(&mut self, rhs: i8)`

[src]

`impl AddAssign<u128> for Rational`

[src]

`fn add_assign(&mut self, rhs: u128)`

[src]

`impl AddAssign<u16> for Rational`

[src]

`fn add_assign(&mut self, rhs: u16)`

[src]

`impl AddAssign<u32> for Rational`

[src]

`fn add_assign(&mut self, rhs: u32)`

[src]

`impl AddAssign<u64> for Rational`

[src]

`fn add_assign(&mut self, rhs: u64)`

[src]

`impl AddAssign<u8> for Rational`

[src]

`fn add_assign(&mut self, rhs: u8)`

[src]

`impl<'_> AddAssignRound<&'_ Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn add_assign_round(&mut self, rhs: &Rational, round: Round) -> Ordering`

[src]

`impl<'_> AddAssignRound<&'_ Rational> for Complex`

[src]

`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)

[src]

&mut self,

rhs: &Rational,

round: (Round, Round)

) -> (Ordering, Ordering)

`impl AddAssignRound<Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn add_assign_round(&mut self, rhs: Rational, round: Round) -> Ordering`

[src]

`impl AddAssignRound<Rational> for Complex`

[src]

`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)

[src]

&mut self,

rhs: Rational,

round: (Round, Round)

) -> (Ordering, Ordering)

`impl<'_> AddFrom<&'_ Integer> for Rational`

[src]

`impl<'_> AddFrom<&'_ Rational> for Rational`

[src]

`impl<'_> AddFrom<&'_ Rational> for Float`

[src]

`impl<'_> AddFrom<&'_ Rational> for Complex`

[src]

`impl<'_> AddFrom<&'_ i128> for Rational`

[src]

`impl<'_> AddFrom<&'_ i16> for Rational`

[src]

`impl<'_> AddFrom<&'_ i32> for Rational`

[src]

`impl<'_> AddFrom<&'_ i64> for Rational`

[src]

`impl<'_> AddFrom<&'_ i8> for Rational`

[src]

`impl<'_> AddFrom<&'_ u128> for Rational`

[src]

`impl<'_> AddFrom<&'_ u16> for Rational`

[src]

`impl<'_> AddFrom<&'_ u32> for Rational`

[src]

`impl<'_> AddFrom<&'_ u64> for Rational`

[src]

`impl<'_> AddFrom<&'_ u8> for Rational`

[src]

`impl AddFrom<Integer> for Rational`

[src]

`impl AddFrom<Rational> for Rational`

[src]

`impl AddFrom<Rational> for Float`

[src]

`impl AddFrom<Rational> for Complex`

[src]

`impl AddFrom<i128> for Rational`

[src]

`impl AddFrom<i16> for Rational`

[src]

`impl AddFrom<i32> for Rational`

[src]

`impl AddFrom<i64> for Rational`

[src]

`impl AddFrom<i8> for Rational`

[src]

`impl AddFrom<u128> for Rational`

[src]

`impl AddFrom<u16> for Rational`

[src]

`impl AddFrom<u32> for Rational`

[src]

`impl AddFrom<u64> for Rational`

[src]

`impl AddFrom<u8> for Rational`

[src]

`impl<'_> AddFromRound<&'_ Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn add_from_round(&mut self, lhs: &Rational, round: Round) -> Ordering`

[src]

`impl<'_> AddFromRound<&'_ Rational> for Complex`

[src]

`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)

[src]

&mut self,

lhs: &Rational,

round: (Round, Round)

) -> (Ordering, Ordering)

`impl AddFromRound<Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn add_from_round(&mut self, lhs: Rational, round: Round) -> Ordering`

[src]

`impl AddFromRound<Rational> for Complex`

[src]

`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)

[src]

&mut self,

lhs: Rational,

round: (Round, Round)

) -> (Ordering, Ordering)

`impl<'_> Assign<&'_ Rational> for Rational`

[src]

`impl<'a, Num, Den> Assign<&'a (Num, Den)> for Rational where`

Integer: Assign<&'a Num> + Assign<&'a Den>,

[src]

Integer: Assign<&'a Num> + Assign<&'a Den>,

`impl<Num, Den> Assign<(Num, Den)> for Rational where`

Integer: Assign<Num> + Assign<Den>,

[src]

Integer: Assign<Num> + Assign<Den>,

`impl<Num> Assign<Num> for Rational where`

Integer: Assign<Num>,

[src]

Integer: Assign<Num>,

`impl Assign<Rational> for Rational`

[src]

`impl<'_> AssignRound<&'_ Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn assign_round(&mut self, src: &Rational, round: Round) -> Ordering`

[src]

`impl AssignRound<Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn assign_round(&mut self, src: Rational, round: Round) -> Ordering`

[src]

`impl Binary for Rational`

[src]

`impl Cast<Rational> for bool`

[src]

`impl Cast<Rational> for i8`

[src]

`impl Cast<Rational> for u64`

[src]

`impl Cast<Rational> for u128`

[src]

`impl Cast<Rational> for usize`

[src]

`impl Cast<Rational> for f32`

[src]

`impl Cast<Rational> for f64`

[src]

`impl Cast<Rational> for Integer`

[src]

`impl<'_> Cast<Rational> for &'_ Integer`

[src]

`impl Cast<Rational> for Float`

[src]

`impl<'_> Cast<Rational> for &'_ Float`

[src]

`impl Cast<Rational> for i16`

[src]

`impl Cast<Rational> for i32`

[src]

`impl Cast<Rational> for i64`

[src]

`impl Cast<Rational> for i128`

[src]

`impl Cast<Rational> for isize`

[src]

`impl Cast<Rational> for u8`

[src]

`impl Cast<Rational> for u16`

[src]

`impl Cast<Rational> for u32`

[src]

`impl Cast<f32> for Rational`

[src]

`impl<'_> Cast<f32> for &'_ Rational`

[src]

`impl Cast<f64> for Rational`

[src]

`impl<'_> Cast<f64> for &'_ Rational`

[src]

`impl CheckedCast<Rational> for f32`

[src]

`fn checked_cast(self) -> Option<Rational>`

[src]

`impl CheckedCast<Rational> for f64`

[src]

`fn checked_cast(self) -> Option<Rational>`

[src]

`impl CheckedCast<Rational> for Float`

[src]

`fn checked_cast(self) -> Option<Rational>`

[src]

`impl<'_> CheckedCast<Rational> for &'_ Float`

[src]

`fn checked_cast(self) -> Option<Rational>`

[src]

`impl Clone for Rational`

[src]

`impl Debug for Rational`

[src]

`impl Default for Rational`

[src]

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

[src]

`fn deserialize<D: Deserializer<'de>>(`

deserializer: D

) -> Result<Rational, D::Error>

[src]

deserializer: D

) -> Result<Rational, D::Error>

`fn deserialize_in_place<D: Deserializer<'de>>(`

deserializer: D,

place: &mut Rational

) -> Result<(), D::Error>

[src]

deserializer: D,

place: &mut Rational

) -> Result<(), D::Error>

`impl Display for Rational`

[src]

`impl<'_> Div<&'_ Integer> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<&'_ Rational> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<&'_ Rational> for Float`

[src]

`type Output = Float`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<&'_ Rational> for Complex`

[src]

`type Output = Complex`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<&'_ i128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b, '_> Div<&'_ i128> for &'b Rational`

[src]

`type Output = DivI128Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &i128) -> DivI128Incomplete<'b>`

[src]

`impl<'_> Div<&'_ i16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b, '_> Div<&'_ i16> for &'b Rational`

[src]

`type Output = DivI16Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &i16) -> DivI16Incomplete<'b>`

[src]

`impl<'_> Div<&'_ i32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b, '_> Div<&'_ i32> for &'b Rational`

[src]

`type Output = DivI32Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &i32) -> DivI32Incomplete<'b>`

[src]

`impl<'_> Div<&'_ i64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b, '_> Div<&'_ i64> for &'b Rational`

[src]

`type Output = DivI64Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &i64) -> DivI64Incomplete<'b>`

[src]

`impl<'_> Div<&'_ i8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b, '_> Div<&'_ i8> for &'b Rational`

[src]

`type Output = DivI8Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &i8) -> DivI8Incomplete<'b>`

[src]

`impl<'_> Div<&'_ u128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &u128) -> Rational`

[src]

`impl<'b, '_> Div<&'_ u128> for &'b Rational`

[src]

`type Output = DivU128Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &u128) -> DivU128Incomplete<'b>`

[src]

`impl<'_> Div<&'_ u16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b, '_> Div<&'_ u16> for &'b Rational`

[src]

`type Output = DivU16Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &u16) -> DivU16Incomplete<'b>`

[src]

`impl<'_> Div<&'_ u32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b, '_> Div<&'_ u32> for &'b Rational`

[src]

`type Output = DivU32Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &u32) -> DivU32Incomplete<'b>`

[src]

`impl<'_> Div<&'_ u64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b, '_> Div<&'_ u64> for &'b Rational`

[src]

`type Output = DivU64Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &u64) -> DivU64Incomplete<'b>`

[src]

`impl<'_> Div<&'_ u8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b, '_> Div<&'_ u8> for &'b Rational`

[src]

`type Output = DivU8Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &u8) -> DivU8Incomplete<'b>`

[src]

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

[src]

`type Output = DivFromOwnedRationalIncomplete<'a>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Float) -> DivFromOwnedRationalIncomplete<'_>`

[src]

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

[src]

`type Output = DivFromRationalIncomplete<'a>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'a Float) -> DivFromRationalIncomplete<'_>`

[src]

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

[src]

`type Output = DivIntegerIncomplete<'a>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'a Integer) -> DivIntegerIncomplete<'_>`

[src]

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

[src]

`type Output = DivIncomplete<'a>`

The resulting type after applying the `/`

operator.

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

[src]

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

[src]

`type Output = DivFromOwnedIntegerIncomplete<'a>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromOwnedIntegerIncomplete<'_>`

[src]

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

[src]

`type Output = DivFromIntegerIncomplete<'a>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'a Rational) -> DivFromIntegerIncomplete<'_>`

[src]

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

[src]

`type Output = DivRationalIncomplete<'a>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'a Rational) -> DivRationalIncomplete<'_>`

[src]

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

[src]

`type Output = DivRationalIncomplete<'a>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'a Rational) -> DivRationalIncomplete<'_>`

[src]

`impl<'b> Div<&'b Rational> for i8`

[src]

`type Output = DivFromI8Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromI8Incomplete<'_>`

[src]

`impl<'b, '_> Div<&'b Rational> for &'_ i8`

[src]

`type Output = DivFromI8Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'b Rational) -> DivFromI8Incomplete<'b>`

[src]

`impl<'b> Div<&'b Rational> for u8`

[src]

`type Output = DivFromU8Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromU8Incomplete<'_>`

[src]

`impl<'b, '_> Div<&'b Rational> for &'_ u8`

[src]

`type Output = DivFromU8Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'b Rational) -> DivFromU8Incomplete<'b>`

[src]

`impl<'b> Div<&'b Rational> for u16`

[src]

`type Output = DivFromU16Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromU16Incomplete<'_>`

[src]

`impl<'b, '_> Div<&'b Rational> for &'_ u16`

[src]

`type Output = DivFromU16Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'b Rational) -> DivFromU16Incomplete<'b>`

[src]

`impl<'b> Div<&'b Rational> for u32`

[src]

`type Output = DivFromU32Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromU32Incomplete<'_>`

[src]

`impl<'b, '_> Div<&'b Rational> for &'_ u32`

[src]

`type Output = DivFromU32Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'b Rational) -> DivFromU32Incomplete<'b>`

[src]

`impl<'b> Div<&'b Rational> for u64`

[src]

`type Output = DivFromU64Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromU64Incomplete<'_>`

[src]

`impl<'b, '_> Div<&'b Rational> for &'_ u64`

[src]

`type Output = DivFromU64Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'b Rational) -> DivFromU64Incomplete<'b>`

[src]

`impl<'b> Div<&'b Rational> for u128`

[src]

`type Output = DivFromU128Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromU128Incomplete<'_>`

[src]

`impl<'b, '_> Div<&'b Rational> for &'_ u128`

[src]

`type Output = DivFromU128Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'b Rational) -> DivFromU128Incomplete<'b>`

[src]

`impl<'b> Div<&'b Rational> for i16`

[src]

`type Output = DivFromI16Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromI16Incomplete<'_>`

[src]

`impl<'b, '_> Div<&'b Rational> for &'_ i16`

[src]

`type Output = DivFromI16Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'b Rational) -> DivFromI16Incomplete<'b>`

[src]

`impl<'b> Div<&'b Rational> for i32`

[src]

`type Output = DivFromI32Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromI32Incomplete<'_>`

[src]

`impl<'b, '_> Div<&'b Rational> for &'_ i32`

[src]

`type Output = DivFromI32Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'b Rational) -> DivFromI32Incomplete<'b>`

[src]

`impl<'b> Div<&'b Rational> for i64`

[src]

`type Output = DivFromI64Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromI64Incomplete<'_>`

[src]

`impl<'b, '_> Div<&'b Rational> for &'_ i64`

[src]

`type Output = DivFromI64Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'b Rational) -> DivFromI64Incomplete<'b>`

[src]

`impl<'b> Div<&'b Rational> for i128`

[src]

`type Output = DivFromI128Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &Rational) -> DivFromI128Incomplete<'_>`

[src]

`impl<'b, '_> Div<&'b Rational> for &'_ i128`

[src]

`type Output = DivFromI128Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: &'b Rational) -> DivFromI128Incomplete<'b>`

[src]

`impl Div<Float> for Rational`

[src]

`type Output = Float`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: Float) -> Float`

[src]

`impl<'_> Div<Float> for &'_ Rational`

[src]

`type Output = Float`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: Float) -> Float`

[src]

`impl Div<Integer> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

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

[src]

`type Output = DivOwnedIntegerIncomplete<'a>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: Integer) -> DivOwnedIntegerIncomplete<'a>`

[src]

`impl Div<Rational> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for i64`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ i64`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for i128`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ i128`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for u8`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ u8`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for u16`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ u16`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for u32`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ u32`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for Integer`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for u64`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ u64`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for u128`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ u128`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for Float`

[src]

`type Output = Float`

The resulting type after applying the `/`

operator.

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

[src]

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

[src]

`type Output = DivOwnedRationalIncomplete<'a>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: Rational) -> DivOwnedRationalIncomplete<'a>`

[src]

`impl Div<Rational> for Complex`

[src]

`type Output = Complex`

The resulting type after applying the `/`

operator.

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

[src]

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

[src]

`type Output = DivOwnedRationalIncomplete<'a>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: Rational) -> DivOwnedRationalIncomplete<'a>`

[src]

`impl<'_> Div<Rational> for &'_ Integer`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for i8`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ i8`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for i16`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ i16`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<Rational> for i32`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'_> Div<Rational> for &'_ i32`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl Div<i128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b> Div<i128> for &'b Rational`

[src]

`type Output = DivI128Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: i128) -> DivI128Incomplete<'b>`

[src]

`impl Div<i16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b> Div<i16> for &'b Rational`

[src]

`type Output = DivI16Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: i16) -> DivI16Incomplete<'b>`

[src]

`impl Div<i32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b> Div<i32> for &'b Rational`

[src]

`type Output = DivI32Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: i32) -> DivI32Incomplete<'b>`

[src]

`impl Div<i64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b> Div<i64> for &'b Rational`

[src]

`type Output = DivI64Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: i64) -> DivI64Incomplete<'b>`

[src]

`impl Div<i8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b> Div<i8> for &'b Rational`

[src]

`type Output = DivI8Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: i8) -> DivI8Incomplete<'b>`

[src]

`impl Div<u128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: u128) -> Rational`

[src]

`impl<'b> Div<u128> for &'b Rational`

[src]

`type Output = DivU128Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: u128) -> DivU128Incomplete<'b>`

[src]

`impl Div<u16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b> Div<u16> for &'b Rational`

[src]

`type Output = DivU16Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: u16) -> DivU16Incomplete<'b>`

[src]

`impl Div<u32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b> Div<u32> for &'b Rational`

[src]

`type Output = DivU32Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: u32) -> DivU32Incomplete<'b>`

[src]

`impl Div<u64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b> Div<u64> for &'b Rational`

[src]

`type Output = DivU64Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: u64) -> DivU64Incomplete<'b>`

[src]

`impl Div<u8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `/`

operator.

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

[src]

`impl<'b> Div<u8> for &'b Rational`

[src]

`type Output = DivU8Incomplete<'b>`

The resulting type after applying the `/`

operator.

`fn div(self, rhs: u8) -> DivU8Incomplete<'b>`

[src]

`impl<'_> DivAssign<&'_ Integer> for Rational`

[src]

`fn div_assign(&mut self, rhs: &Integer)`

[src]

`impl<'_> DivAssign<&'_ Rational> for Rational`

[src]

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

[src]

`impl<'_> DivAssign<&'_ Rational> for Float`

[src]

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

[src]

`impl<'_> DivAssign<&'_ Rational> for Complex`

[src]

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

[src]

`impl<'_> DivAssign<&'_ i128> for Rational`

[src]

`fn div_assign(&mut self, rhs: &i128)`

[src]

`impl<'_> DivAssign<&'_ i16> for Rational`

[src]

`fn div_assign(&mut self, rhs: &i16)`

[src]

`impl<'_> DivAssign<&'_ i32> for Rational`

[src]

`fn div_assign(&mut self, rhs: &i32)`

[src]

`impl<'_> DivAssign<&'_ i64> for Rational`

[src]

`fn div_assign(&mut self, rhs: &i64)`

[src]

`impl<'_> DivAssign<&'_ i8> for Rational`

[src]

`fn div_assign(&mut self, rhs: &i8)`

[src]

`impl<'_> DivAssign<&'_ u128> for Rational`

[src]

`fn div_assign(&mut self, rhs: &u128)`

[src]

`impl<'_> DivAssign<&'_ u16> for Rational`

[src]

`fn div_assign(&mut self, rhs: &u16)`

[src]

`impl<'_> DivAssign<&'_ u32> for Rational`

[src]

`fn div_assign(&mut self, rhs: &u32)`

[src]

`impl<'_> DivAssign<&'_ u64> for Rational`

[src]

`fn div_assign(&mut self, rhs: &u64)`

[src]

`impl<'_> DivAssign<&'_ u8> for Rational`

[src]

`fn div_assign(&mut self, rhs: &u8)`

[src]

`impl DivAssign<Integer> for Rational`

[src]

`fn div_assign(&mut self, rhs: Integer)`

[src]

`impl DivAssign<Rational> for Rational`

[src]

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

[src]

`impl DivAssign<Rational> for Float`

[src]

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

[src]

`impl DivAssign<Rational> for Complex`

[src]

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

[src]

`impl DivAssign<i128> for Rational`

[src]

`fn div_assign(&mut self, rhs: i128)`

[src]

`impl DivAssign<i16> for Rational`

[src]

`fn div_assign(&mut self, rhs: i16)`

[src]

`impl DivAssign<i32> for Rational`

[src]

`fn div_assign(&mut self, rhs: i32)`

[src]

`impl DivAssign<i64> for Rational`

[src]

`fn div_assign(&mut self, rhs: i64)`

[src]

`impl DivAssign<i8> for Rational`

[src]

`fn div_assign(&mut self, rhs: i8)`

[src]

`impl DivAssign<u128> for Rational`

[src]

`fn div_assign(&mut self, rhs: u128)`

[src]

`impl DivAssign<u16> for Rational`

[src]

`fn div_assign(&mut self, rhs: u16)`

[src]

`impl DivAssign<u32> for Rational`

[src]

`fn div_assign(&mut self, rhs: u32)`

[src]

`impl DivAssign<u64> for Rational`

[src]

`fn div_assign(&mut self, rhs: u64)`

[src]

`impl DivAssign<u8> for Rational`

[src]

`fn div_assign(&mut self, rhs: u8)`

[src]

`impl<'_> DivAssignRound<&'_ Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn div_assign_round(&mut self, rhs: &Rational, round: Round) -> Ordering`

[src]

`impl<'_> DivAssignRound<&'_ Rational> for Complex`

[src]

`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)

[src]

&mut self,

rhs: &Rational,

round: (Round, Round)

) -> (Ordering, Ordering)

`impl DivAssignRound<Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn div_assign_round(&mut self, rhs: Rational, round: Round) -> Ordering`

[src]

`impl DivAssignRound<Rational> for Complex`

[src]

`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)

[src]

&mut self,

rhs: Rational,

round: (Round, Round)

) -> (Ordering, Ordering)

`impl<'_> DivFrom<&'_ Integer> for Rational`

[src]

`impl<'_> DivFrom<&'_ Rational> for Rational`

[src]

`impl<'_> DivFrom<&'_ Rational> for Float`

[src]

`impl<'_> DivFrom<&'_ i128> for Rational`

[src]

`impl<'_> DivFrom<&'_ i16> for Rational`

[src]

`impl<'_> DivFrom<&'_ i32> for Rational`

[src]

`impl<'_> DivFrom<&'_ i64> for Rational`

[src]

`impl<'_> DivFrom<&'_ i8> for Rational`

[src]

`impl<'_> DivFrom<&'_ u128> for Rational`

[src]

`impl<'_> DivFrom<&'_ u16> for Rational`

[src]

`impl<'_> DivFrom<&'_ u32> for Rational`

[src]

`impl<'_> DivFrom<&'_ u64> for Rational`

[src]

`impl<'_> DivFrom<&'_ u8> for Rational`

[src]

`impl DivFrom<Integer> for Rational`

[src]

`impl DivFrom<Rational> for Rational`

[src]

`impl DivFrom<Rational> for Float`

[src]

`impl DivFrom<i128> for Rational`

[src]

`impl DivFrom<i16> for Rational`

[src]

`impl DivFrom<i32> for Rational`

[src]

`impl DivFrom<i64> for Rational`

[src]

`impl DivFrom<i8> for Rational`

[src]

`impl DivFrom<u128> for Rational`

[src]

`impl DivFrom<u16> for Rational`

[src]

`impl DivFrom<u32> for Rational`

[src]

`impl DivFrom<u64> for Rational`

[src]

`impl DivFrom<u8> for Rational`

[src]

`impl<'_> DivFromRound<&'_ Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn div_from_round(&mut self, lhs: &Rational, round: Round) -> Ordering`

[src]

`impl DivFromRound<Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn div_from_round(&mut self, lhs: Rational, round: Round) -> Ordering`

[src]

`impl Drop for Rational`

[src]

`impl Eq for Rational`

[src]

`impl<'_> From<&'_ Rational> for Rational`

[src]

`impl<'a, Num, Den> From<&'a (Num, Den)> for Rational where`

Integer: From<&'a Num> + From<&'a Den>,

[src]

Integer: From<&'a Num> + From<&'a Den>,

`impl<Num, Den> From<(Num, Den)> for Rational where`

Integer: From<Num> + From<Den>,

[src]

Integer: From<Num> + From<Den>,

`impl<Num> From<Num> for Rational where`

Integer: From<Num>,

[src]

Integer: From<Num>,

`impl FromStr for Rational`

[src]

`type Err = ParseRationalError`

The associated error which can be returned from parsing.

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

[src]

`impl Hash for Rational`

[src]

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

[src]

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

H: Hasher,

1.3.0[src]

H: Hasher,

`impl LowerHex for Rational`

[src]

`impl<'_> Mul<&'_ Integer> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<&'_ Rational> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<&'_ Rational> for Float`

[src]

`type Output = Float`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<&'_ Rational> for Complex`

[src]

`type Output = Complex`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<&'_ i128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b, '_> Mul<&'_ i128> for &'b Rational`

[src]

`type Output = MulI128Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &i128) -> MulI128Incomplete<'b>`

[src]

`impl<'_> Mul<&'_ i16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b, '_> Mul<&'_ i16> for &'b Rational`

[src]

`type Output = MulI16Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &i16) -> MulI16Incomplete<'b>`

[src]

`impl<'_> Mul<&'_ i32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b, '_> Mul<&'_ i32> for &'b Rational`

[src]

`type Output = MulI32Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &i32) -> MulI32Incomplete<'b>`

[src]

`impl<'_> Mul<&'_ i64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b, '_> Mul<&'_ i64> for &'b Rational`

[src]

`type Output = MulI64Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &i64) -> MulI64Incomplete<'b>`

[src]

`impl<'_> Mul<&'_ i8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b, '_> Mul<&'_ i8> for &'b Rational`

[src]

`type Output = MulI8Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &i8) -> MulI8Incomplete<'b>`

[src]

`impl<'_> Mul<&'_ u128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &u128) -> Rational`

[src]

`impl<'b, '_> Mul<&'_ u128> for &'b Rational`

[src]

`type Output = MulU128Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &u128) -> MulU128Incomplete<'b>`

[src]

`impl<'_> Mul<&'_ u16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b, '_> Mul<&'_ u16> for &'b Rational`

[src]

`type Output = MulU16Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &u16) -> MulU16Incomplete<'b>`

[src]

`impl<'_> Mul<&'_ u32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b, '_> Mul<&'_ u32> for &'b Rational`

[src]

`type Output = MulU32Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &u32) -> MulU32Incomplete<'b>`

[src]

`impl<'_> Mul<&'_ u64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b, '_> Mul<&'_ u64> for &'b Rational`

[src]

`type Output = MulU64Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &u64) -> MulU64Incomplete<'b>`

[src]

`impl<'_> Mul<&'_ u8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b, '_> Mul<&'_ u8> for &'b Rational`

[src]

`type Output = MulU8Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &u8) -> MulU8Incomplete<'b>`

[src]

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

[src]

`type Output = MulOwnedRationalIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Complex) -> MulOwnedRationalIncomplete<'_>`

[src]

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

[src]

`type Output = MulRationalIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &'a Complex) -> MulRationalIncomplete<'_>`

[src]

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

[src]

`type Output = MulOwnedRationalIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Float) -> MulOwnedRationalIncomplete<'_>`

[src]

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

[src]

`type Output = MulRationalIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &'a Float) -> MulRationalIncomplete<'_>`

[src]

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

[src]

`type Output = MulIntegerIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &'a Integer) -> MulIntegerIncomplete<'_>`

[src]

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

[src]

`type Output = MulIncomplete<'a>`

The resulting type after applying the `*`

operator.

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

[src]

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

[src]

`type Output = MulOwnedIntegerIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &'a Rational) -> MulOwnedIntegerIncomplete<'a>`

[src]

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

[src]

`type Output = MulIntegerIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &'a Rational) -> MulIntegerIncomplete<'_>`

[src]

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

[src]

`type Output = MulRationalIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &'a Rational) -> MulRationalIncomplete<'_>`

[src]

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

[src]

`type Output = MulRationalIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &'a Rational) -> MulRationalIncomplete<'_>`

[src]

`impl<'b> Mul<&'b Rational> for i8`

[src]

`type Output = MulI8Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulI8Incomplete<'_>`

[src]

`impl<'b, '_> Mul<&'b Rational> for &'_ i8`

[src]

`type Output = MulI8Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulI8Incomplete<'_>`

[src]

`impl<'b> Mul<&'b Rational> for u8`

[src]

`type Output = MulU8Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulU8Incomplete<'_>`

[src]

`impl<'b, '_> Mul<&'b Rational> for &'_ u8`

[src]

`type Output = MulU8Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulU8Incomplete<'_>`

[src]

`impl<'b> Mul<&'b Rational> for u16`

[src]

`type Output = MulU16Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulU16Incomplete<'_>`

[src]

`impl<'b, '_> Mul<&'b Rational> for &'_ u16`

[src]

`type Output = MulU16Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulU16Incomplete<'_>`

[src]

`impl<'b> Mul<&'b Rational> for u32`

[src]

`type Output = MulU32Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulU32Incomplete<'_>`

[src]

`impl<'b, '_> Mul<&'b Rational> for &'_ u32`

[src]

`type Output = MulU32Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulU32Incomplete<'_>`

[src]

`impl<'b> Mul<&'b Rational> for u64`

[src]

`type Output = MulU64Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulU64Incomplete<'_>`

[src]

`impl<'b, '_> Mul<&'b Rational> for &'_ u64`

[src]

`type Output = MulU64Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulU64Incomplete<'_>`

[src]

`impl<'b> Mul<&'b Rational> for u128`

[src]

`type Output = MulU128Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulU128Incomplete<'_>`

[src]

`impl<'b, '_> Mul<&'b Rational> for &'_ u128`

[src]

`type Output = MulU128Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulU128Incomplete<'_>`

[src]

`impl<'b> Mul<&'b Rational> for i16`

[src]

`type Output = MulI16Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulI16Incomplete<'_>`

[src]

`impl<'b, '_> Mul<&'b Rational> for &'_ i16`

[src]

`type Output = MulI16Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulI16Incomplete<'_>`

[src]

`impl<'b> Mul<&'b Rational> for i32`

[src]

`type Output = MulI32Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulI32Incomplete<'_>`

[src]

`impl<'b, '_> Mul<&'b Rational> for &'_ i32`

[src]

`type Output = MulI32Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulI32Incomplete<'_>`

[src]

`impl<'b> Mul<&'b Rational> for i64`

[src]

`type Output = MulI64Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulI64Incomplete<'_>`

[src]

`impl<'b, '_> Mul<&'b Rational> for &'_ i64`

[src]

`type Output = MulI64Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulI64Incomplete<'_>`

[src]

`impl<'b> Mul<&'b Rational> for i128`

[src]

`type Output = MulI128Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulI128Incomplete<'_>`

[src]

`impl<'b, '_> Mul<&'b Rational> for &'_ i128`

[src]

`type Output = MulI128Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: &Rational) -> MulI128Incomplete<'_>`

[src]

`impl Mul<Complex> for Rational`

[src]

`type Output = Complex`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: Complex) -> Complex`

[src]

`impl<'_> Mul<Complex> for &'_ Rational`

[src]

`type Output = Complex`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: Complex) -> Complex`

[src]

`impl Mul<Float> for Rational`

[src]

`type Output = Float`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: Float) -> Float`

[src]

`impl<'_> Mul<Float> for &'_ Rational`

[src]

`type Output = Float`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: Float) -> Float`

[src]

`impl Mul<Integer> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

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

[src]

`type Output = MulOwnedIntegerIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: Integer) -> MulOwnedIntegerIncomplete<'a>`

[src]

`impl Mul<Rational> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for i64`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ i64`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for i128`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ i128`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for u8`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ u8`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for u16`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ u16`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for u32`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ u32`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for Integer`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for u64`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ u64`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for u128`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ u128`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for Float`

[src]

`type Output = Float`

The resulting type after applying the `*`

operator.

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

[src]

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

[src]

`type Output = MulOwnedRationalIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: Rational) -> MulOwnedRationalIncomplete<'a>`

[src]

`impl Mul<Rational> for Complex`

[src]

`type Output = Complex`

The resulting type after applying the `*`

operator.

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

[src]

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

[src]

`type Output = MulOwnedRationalIncomplete<'a>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: Rational) -> MulOwnedRationalIncomplete<'a>`

[src]

`impl<'_> Mul<Rational> for &'_ Integer`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for i8`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ i8`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for i16`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ i16`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<Rational> for i32`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'_> Mul<Rational> for &'_ i32`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl Mul<i128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b> Mul<i128> for &'b Rational`

[src]

`type Output = MulI128Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: i128) -> MulI128Incomplete<'b>`

[src]

`impl Mul<i16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b> Mul<i16> for &'b Rational`

[src]

`type Output = MulI16Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: i16) -> MulI16Incomplete<'b>`

[src]

`impl Mul<i32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b> Mul<i32> for &'b Rational`

[src]

`type Output = MulI32Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: i32) -> MulI32Incomplete<'b>`

[src]

`impl Mul<i64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b> Mul<i64> for &'b Rational`

[src]

`type Output = MulI64Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: i64) -> MulI64Incomplete<'b>`

[src]

`impl Mul<i8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b> Mul<i8> for &'b Rational`

[src]

`type Output = MulI8Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: i8) -> MulI8Incomplete<'b>`

[src]

`impl Mul<u128> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: u128) -> Rational`

[src]

`impl<'b> Mul<u128> for &'b Rational`

[src]

`type Output = MulU128Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: u128) -> MulU128Incomplete<'b>`

[src]

`impl Mul<u16> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b> Mul<u16> for &'b Rational`

[src]

`type Output = MulU16Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: u16) -> MulU16Incomplete<'b>`

[src]

`impl Mul<u32> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b> Mul<u32> for &'b Rational`

[src]

`type Output = MulU32Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: u32) -> MulU32Incomplete<'b>`

[src]

`impl Mul<u64> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b> Mul<u64> for &'b Rational`

[src]

`type Output = MulU64Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: u64) -> MulU64Incomplete<'b>`

[src]

`impl Mul<u8> for Rational`

[src]

`type Output = Rational`

The resulting type after applying the `*`

operator.

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

[src]

`impl<'b> Mul<u8> for &'b Rational`

[src]

`type Output = MulU8Incomplete<'b>`

The resulting type after applying the `*`

operator.

`fn mul(self, rhs: u8) -> MulU8Incomplete<'b>`

[src]

`impl<'_> MulAssign<&'_ Integer> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &Integer)`

[src]

`impl<'_> MulAssign<&'_ Rational> for Rational`

[src]

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

[src]

`impl<'_> MulAssign<&'_ Rational> for Float`

[src]

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

[src]

`impl<'_> MulAssign<&'_ Rational> for Complex`

[src]

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

[src]

`impl<'_> MulAssign<&'_ i128> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &i128)`

[src]

`impl<'_> MulAssign<&'_ i16> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &i16)`

[src]

`impl<'_> MulAssign<&'_ i32> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &i32)`

[src]

`impl<'_> MulAssign<&'_ i64> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &i64)`

[src]

`impl<'_> MulAssign<&'_ i8> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &i8)`

[src]

`impl<'_> MulAssign<&'_ u128> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &u128)`

[src]

`impl<'_> MulAssign<&'_ u16> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &u16)`

[src]

`impl<'_> MulAssign<&'_ u32> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &u32)`

[src]

`impl<'_> MulAssign<&'_ u64> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &u64)`

[src]

`impl<'_> MulAssign<&'_ u8> for Rational`

[src]

`fn mul_assign(&mut self, rhs: &u8)`

[src]

`impl MulAssign<Integer> for Rational`

[src]

`fn mul_assign(&mut self, rhs: Integer)`

[src]

`impl MulAssign<Rational> for Rational`

[src]

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

[src]

`impl MulAssign<Rational> for Float`

[src]

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

[src]

`impl MulAssign<Rational> for Complex`

[src]

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

[src]

`impl MulAssign<i128> for Rational`

[src]

`fn mul_assign(&mut self, rhs: i128)`

[src]

`impl MulAssign<i16> for Rational`

[src]

`fn mul_assign(&mut self, rhs: i16)`

[src]

`impl MulAssign<i32> for Rational`

[src]

`fn mul_assign(&mut self, rhs: i32)`

[src]

`impl MulAssign<i64> for Rational`

[src]

`fn mul_assign(&mut self, rhs: i64)`

[src]

`impl MulAssign<i8> for Rational`

[src]

`fn mul_assign(&mut self, rhs: i8)`

[src]

`impl MulAssign<u128> for Rational`

[src]

`fn mul_assign(&mut self, rhs: u128)`

[src]

`impl MulAssign<u16> for Rational`

[src]

`fn mul_assign(&mut self, rhs: u16)`

[src]

`impl MulAssign<u32> for Rational`

[src]

`fn mul_assign(&mut self, rhs: u32)`

[src]

`impl MulAssign<u64> for Rational`

[src]

`fn mul_assign(&mut self, rhs: u64)`

[src]

`impl MulAssign<u8> for Rational`

[src]

`fn mul_assign(&mut self, rhs: u8)`

[src]

`impl<'_> MulAssignRound<&'_ Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn mul_assign_round(&mut self, rhs: &Rational, round: Round) -> Ordering`

[src]

`impl<'_> MulAssignRound<&'_ Rational> for Complex`

[src]

`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)

[src]

&mut self,

rhs: &Rational,

round: (Round, Round)

) -> (Ordering, Ordering)

`impl MulAssignRound<Rational> for Float`

[src]

`type Round = Round`

The rounding method.

`type Ordering = Ordering`

The direction from rounding.

`fn mul_assign_round(&mut self, rhs: Rational, round: Round) -> Ordering`

[src]

`impl MulAssignRound<Rational> for Complex`

[src]

`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)

[src]

&mut self,

rhs: Rational,

round: (Round, Round)

) -> (Ordering, Ordering)