Trait std::ops::Div

1.0.0 · source ·
pub trait Div<Rhs = Self> {
    type Output;

    // Required method
    fn div(self, rhs: Rhs) -> Self::Output;
}
Expand description

The division operator /.

Note that Rhs is Self by default, but this is not mandatory.

§Examples

§Dividable rational numbers

use std::ops::Div;

// By the fundamental theorem of arithmetic, rational numbers in lowest
// terms are unique. So, by keeping `Rational`s in reduced form, we can
// derive `Eq` and `PartialEq`.
#[derive(Debug, Eq, PartialEq)]
struct Rational {
    numerator: usize,
    denominator: usize,
}

impl Rational {
    fn new(numerator: usize, denominator: usize) -> Self {
        if denominator == 0 {
            panic!("Zero is an invalid denominator!");
        }

        // Reduce to lowest terms by dividing by the greatest common
        // divisor.
        let gcd = gcd(numerator, denominator);
        Self {
            numerator: numerator / gcd,
            denominator: denominator / gcd,
        }
    }
}

impl Div for Rational {
    // The division of rational numbers is a closed operation.
    type Output = Self;

    fn div(self, rhs: Self) -> Self::Output {
        if rhs.numerator == 0 {
            panic!("Cannot divide by zero-valued `Rational`!");
        }

        let numerator = self.numerator * rhs.denominator;
        let denominator = self.denominator * rhs.numerator;
        Self::new(numerator, denominator)
    }
}

// Euclid's two-thousand-year-old algorithm for finding the greatest common
// divisor.
fn gcd(x: usize, y: usize) -> usize {
    let mut x = x;
    let mut y = y;
    while y != 0 {
        let t = y;
        y = x % y;
        x = t;
    }
    x
}

assert_eq!(Rational::new(1, 2), Rational::new(2, 4));
assert_eq!(Rational::new(1, 2) / Rational::new(3, 4),
           Rational::new(2, 3));
Run

§Dividing vectors by scalars as in linear algebra

use std::ops::Div;

struct Scalar { value: f32 }

#[derive(Debug, PartialEq)]
struct Vector { value: Vec<f32> }

impl Div<Scalar> for Vector {
    type Output = Self;

    fn div(self, rhs: Scalar) -> Self::Output {
        Self { value: self.value.iter().map(|v| v / rhs.value).collect() }
    }
}

let scalar = Scalar { value: 2f32 };
let vector = Vector { value: vec![2f32, 4f32, 6f32] };
assert_eq!(vector / scalar, Vector { value: vec![1f32, 2f32, 3f32] });
Run

Required Associated Types§

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type Output

The resulting type after applying the / operator.

Required Methods§

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

Performs the / operation.

§Example
assert_eq!(12 / 2, 6);
Run

Implementors§

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impl Div for f16

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type Output = f16

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impl Div for f32

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type Output = f32

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impl Div for f64

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type Output = f64

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impl Div for f128

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type Output = f128

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impl Div for i8

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0 or the division results in overflow.

§

type Output = i8

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impl Div for i16

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0 or the division results in overflow.

§

type Output = i16

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impl Div for i32

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0 or the division results in overflow.

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type Output = i32

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impl Div for i64

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0 or the division results in overflow.

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type Output = i64

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impl Div for i128

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0 or the division results in overflow.

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type Output = i128

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impl Div for isize

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0 or the division results in overflow.

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impl Div for u8

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0.

§

type Output = u8

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impl Div for u16

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0.

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type Output = u16

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impl Div for u32

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0.

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type Output = u32

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impl Div for u64

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0.

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type Output = u64

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impl Div for u128

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0.

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type Output = u128

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impl Div for usize

This operation rounds towards zero, truncating any fractional part of the exact result.

§Panics

This operation will panic if other == 0.

1.74.0 · source§

impl Div for Saturating<i8>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2i8), Saturating(5i8) / Saturating(2));
assert_eq!(Saturating(i8::MAX), Saturating(i8::MAX) / Saturating(1));
assert_eq!(Saturating(i8::MIN), Saturating(i8::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0i8) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<i16>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2i16), Saturating(5i16) / Saturating(2));
assert_eq!(Saturating(i16::MAX), Saturating(i16::MAX) / Saturating(1));
assert_eq!(Saturating(i16::MIN), Saturating(i16::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0i16) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<i32>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2i32), Saturating(5i32) / Saturating(2));
assert_eq!(Saturating(i32::MAX), Saturating(i32::MAX) / Saturating(1));
assert_eq!(Saturating(i32::MIN), Saturating(i32::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0i32) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<i64>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2i64), Saturating(5i64) / Saturating(2));
assert_eq!(Saturating(i64::MAX), Saturating(i64::MAX) / Saturating(1));
assert_eq!(Saturating(i64::MIN), Saturating(i64::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0i64) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<i128>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2i128), Saturating(5i128) / Saturating(2));
assert_eq!(Saturating(i128::MAX), Saturating(i128::MAX) / Saturating(1));
assert_eq!(Saturating(i128::MIN), Saturating(i128::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0i128) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<isize>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2isize), Saturating(5isize) / Saturating(2));
assert_eq!(Saturating(isize::MAX), Saturating(isize::MAX) / Saturating(1));
assert_eq!(Saturating(isize::MIN), Saturating(isize::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0isize) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<u8>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2u8), Saturating(5u8) / Saturating(2));
assert_eq!(Saturating(u8::MAX), Saturating(u8::MAX) / Saturating(1));
assert_eq!(Saturating(u8::MIN), Saturating(u8::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0u8) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<u16>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2u16), Saturating(5u16) / Saturating(2));
assert_eq!(Saturating(u16::MAX), Saturating(u16::MAX) / Saturating(1));
assert_eq!(Saturating(u16::MIN), Saturating(u16::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0u16) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<u32>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2u32), Saturating(5u32) / Saturating(2));
assert_eq!(Saturating(u32::MAX), Saturating(u32::MAX) / Saturating(1));
assert_eq!(Saturating(u32::MIN), Saturating(u32::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0u32) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<u64>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2u64), Saturating(5u64) / Saturating(2));
assert_eq!(Saturating(u64::MAX), Saturating(u64::MAX) / Saturating(1));
assert_eq!(Saturating(u64::MIN), Saturating(u64::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0u64) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<u128>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2u128), Saturating(5u128) / Saturating(2));
assert_eq!(Saturating(u128::MAX), Saturating(u128::MAX) / Saturating(1));
assert_eq!(Saturating(u128::MIN), Saturating(u128::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0u128) / Saturating(0);
Run
1.74.0 · source§

impl Div for Saturating<usize>

§Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2usize), Saturating(5usize) / Saturating(2));
assert_eq!(Saturating(usize::MAX), Saturating(usize::MAX) / Saturating(1));
assert_eq!(Saturating(usize::MIN), Saturating(usize::MIN) / Saturating(1));
Run
use std::num::Saturating;

let _ = Saturating(0usize) / Saturating(0);
Run
1.3.0 · source§

impl Div for Wrapping<i8>

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impl Div for Wrapping<i16>

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impl Div for Wrapping<i32>

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impl Div for Wrapping<i64>

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impl Div for Wrapping<i128>

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impl Div for Wrapping<isize>

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impl Div for Wrapping<u8>

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impl Div for Wrapping<u16>

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impl Div for Wrapping<u32>

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impl Div for Wrapping<u64>

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impl Div for Wrapping<u128>

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impl Div for Wrapping<usize>

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impl Div<&f16> for &f16

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type Output = <f16 as Div>::Output

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impl Div<&f16> for f16

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type Output = <f16 as Div>::Output

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impl Div<&f32> for &f32

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type Output = <f32 as Div>::Output

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impl Div<&f32> for f32

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type Output = <f32 as Div>::Output

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impl Div<&f64> for &f64

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type Output = <f64 as Div>::Output

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impl Div<&f64> for f64

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type Output = <f64 as Div>::Output

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impl Div<&f128> for &f128

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type Output = <f128 as Div>::Output

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impl Div<&f128> for f128

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type Output = <f128 as Div>::Output

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impl Div<&i8> for &i8

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type Output = <i8 as Div>::Output

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impl Div<&i8> for i8

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type Output = <i8 as Div>::Output

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impl Div<&i16> for &i16

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type Output = <i16 as Div>::Output

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impl Div<&i16> for i16

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type Output = <i16 as Div>::Output

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impl Div<&i32> for &i32

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type Output = <i32 as Div>::Output

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impl Div<&i32> for i32

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type Output = <i32 as Div>::Output

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impl Div<&i64> for &i64

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type Output = <i64 as Div>::Output

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impl Div<&i64> for i64

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type Output = <i64 as Div>::Output

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impl Div<&i128> for &i128

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type Output = <i128 as Div>::Output

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impl Div<&i128> for i128

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type Output = <i128 as Div>::Output

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impl Div<&isize> for &isize

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type Output = <isize as Div>::Output

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impl Div<&isize> for isize

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type Output = <isize as Div>::Output

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impl Div<&u8> for &u8

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type Output = <u8 as Div>::Output

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impl Div<&u8> for u8

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type Output = <u8 as Div>::Output

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impl Div<&u16> for &u16

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type Output = <u16 as Div>::Output

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impl Div<&u16> for u16

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type Output = <u16 as Div>::Output

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impl Div<&u32> for &u32

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type Output = <u32 as Div>::Output

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impl Div<&u32> for u32

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type Output = <u32 as Div>::Output

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impl Div<&u64> for &u64

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type Output = <u64 as Div>::Output

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impl Div<&u64> for u64

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type Output = <u64 as Div>::Output

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impl Div<&u128> for &u128

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type Output = <u128 as Div>::Output

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impl Div<&u128> for u128

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type Output = <u128 as Div>::Output

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impl Div<&usize> for &usize

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type Output = <usize as Div>::Output

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impl Div<&usize> for usize

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type Output = <usize as Div>::Output

1.74.0 · source§

impl Div<&Saturating<i8>> for &Saturating<i8>

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impl Div<&Saturating<i8>> for Saturating<i8>

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impl Div<&Saturating<i16>> for &Saturating<i16>

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impl Div<&Saturating<i16>> for Saturating<i16>

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impl Div<&Saturating<i32>> for &Saturating<i32>

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impl Div<&Saturating<i32>> for Saturating<i32>

1.74.0 · source§

impl Div<&Saturating<i64>> for &Saturating<i64>

1.74.0 · source§

impl Div<&Saturating<i64>> for Saturating<i64>

1.74.0 · source§

impl Div<&Saturating<i128>> for &Saturating<i128>

1.74.0 · source§

impl Div<&Saturating<i128>> for Saturating<i128>

1.74.0 · source§

impl Div<&Saturating<isize>> for &Saturating<isize>

1.74.0 · source§

impl Div<&Saturating<isize>> for Saturating<isize>

1.74.0 · source§

impl Div<&Saturating<u8>> for &Saturating<u8>

1.74.0 · source§

impl Div<&Saturating<u8>> for Saturating<u8>

1.74.0 · source§

impl Div<&Saturating<u16>> for &Saturating<u16>

1.74.0 · source§

impl Div<&Saturating<u16>> for Saturating<u16>

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impl Div<&Saturating<u32>> for &Saturating<u32>

1.74.0 · source§

impl Div<&Saturating<u32>> for Saturating<u32>

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impl Div<&Saturating<u64>> for &Saturating<u64>

1.74.0 · source§

impl Div<&Saturating<u64>> for Saturating<u64>

1.74.0 · source§

impl Div<&Saturating<u128>> for &Saturating<u128>

1.74.0 · source§

impl Div<&Saturating<u128>> for Saturating<u128>

1.74.0 · source§

impl Div<&Saturating<usize>> for &Saturating<usize>

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impl Div<&Saturating<usize>> for Saturating<usize>

1.14.0 · source§

impl Div<&Wrapping<i8>> for &Wrapping<i8>

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type Output = <Wrapping<i8> as Div>::Output

1.14.0 · source§

impl Div<&Wrapping<i8>> for Wrapping<i8>

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type Output = <Wrapping<i8> as Div>::Output

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impl Div<&Wrapping<i16>> for &Wrapping<i16>

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impl Div<&Wrapping<i16>> for Wrapping<i16>

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impl Div<&Wrapping<i32>> for &Wrapping<i32>

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impl Div<&Wrapping<i32>> for Wrapping<i32>

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impl Div<&Wrapping<i64>> for &Wrapping<i64>

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impl Div<&Wrapping<i64>> for Wrapping<i64>

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impl Div<&Wrapping<i128>> for &Wrapping<i128>

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impl Div<&Wrapping<i128>> for Wrapping<i128>

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impl Div<&Wrapping<isize>> for &Wrapping<isize>

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impl Div<&Wrapping<isize>> for Wrapping<isize>

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impl Div<&Wrapping<u8>> for &Wrapping<u8>

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type Output = <Wrapping<u8> as Div>::Output

1.14.0 · source§

impl Div<&Wrapping<u8>> for Wrapping<u8>

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type Output = <Wrapping<u8> as Div>::Output

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impl Div<&Wrapping<u16>> for &Wrapping<u16>

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impl Div<&Wrapping<u16>> for Wrapping<u16>

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impl Div<&Wrapping<u32>> for &Wrapping<u32>

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impl Div<&Wrapping<u32>> for Wrapping<u32>

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impl Div<&Wrapping<u64>> for &Wrapping<u64>

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impl Div<&Wrapping<u64>> for Wrapping<u64>

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impl Div<&Wrapping<u128>> for &Wrapping<u128>

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impl Div<&Wrapping<u128>> for Wrapping<u128>

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impl Div<&Wrapping<usize>> for &Wrapping<usize>

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impl Div<&Wrapping<usize>> for Wrapping<usize>

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impl Div<u32> for Duration

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impl Div<NonZero<u8>> for u8

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type Output = u8

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impl Div<NonZero<u16>> for u16

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type Output = u16

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impl Div<NonZero<u32>> for u32

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type Output = u32

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impl Div<NonZero<u64>> for u64

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type Output = u64

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impl Div<NonZero<u128>> for u128

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type Output = u128

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impl Div<NonZero<usize>> for usize

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impl<'a> Div<f16> for &'a f16

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type Output = <f16 as Div>::Output

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impl<'a> Div<f32> for &'a f32

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type Output = <f32 as Div>::Output

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impl<'a> Div<f64> for &'a f64

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type Output = <f64 as Div>::Output

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impl<'a> Div<f128> for &'a f128

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type Output = <f128 as Div>::Output

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impl<'a> Div<i8> for &'a i8

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type Output = <i8 as Div>::Output

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impl<'a> Div<i16> for &'a i16

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type Output = <i16 as Div>::Output

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impl<'a> Div<i32> for &'a i32

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type Output = <i32 as Div>::Output

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impl<'a> Div<i64> for &'a i64

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type Output = <i64 as Div>::Output

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impl<'a> Div<i128> for &'a i128

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type Output = <i128 as Div>::Output

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

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type Output = <isize as Div>::Output

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impl<'a> Div<u8> for &'a u8

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type Output = <u8 as Div>::Output

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impl<'a> Div<u16> for &'a u16

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type Output = <u16 as Div>::Output

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impl<'a> Div<u32> for &'a u32

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type Output = <u32 as Div>::Output

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impl<'a> Div<u64> for &'a u64

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type Output = <u64 as Div>::Output

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impl<'a> Div<u128> for &'a u128

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type Output = <u128 as Div>::Output

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

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type Output = <usize as Div>::Output

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impl<'a> Div<Saturating<i8>> for &'a Saturating<i8>

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impl<'a> Div<Saturating<i16>> for &'a Saturating<i16>

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impl<'a> Div<Saturating<i32>> for &'a Saturating<i32>

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impl<'a> Div<Saturating<i64>> for &'a Saturating<i64>

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impl<'a> Div<Saturating<i128>> for &'a Saturating<i128>

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impl<'a> Div<Saturating<isize>> for &'a Saturating<isize>

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impl<'a> Div<Saturating<u8>> for &'a Saturating<u8>

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impl<'a> Div<Saturating<u16>> for &'a Saturating<u16>

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impl<'a> Div<Saturating<u32>> for &'a Saturating<u32>

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impl<'a> Div<Saturating<u64>> for &'a Saturating<u64>

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impl<'a> Div<Saturating<u128>> for &'a Saturating<u128>

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impl<'a> Div<Saturating<usize>> for &'a Saturating<usize>

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impl<'a> Div<Wrapping<i8>> for &'a Wrapping<i8>

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type Output = <Wrapping<i8> as Div>::Output

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impl<'a> Div<Wrapping<i16>> for &'a Wrapping<i16>

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impl<'a> Div<Wrapping<i32>> for &'a Wrapping<i32>

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impl<'a> Div<Wrapping<i64>> for &'a Wrapping<i64>

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impl<'a> Div<Wrapping<i128>> for &'a Wrapping<i128>

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impl<'a> Div<Wrapping<isize>> for &'a Wrapping<isize>

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impl<'a> Div<Wrapping<u8>> for &'a Wrapping<u8>

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type Output = <Wrapping<u8> as Div>::Output

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impl<'a> Div<Wrapping<u16>> for &'a Wrapping<u16>

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impl<'a> Div<Wrapping<u32>> for &'a Wrapping<u32>

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impl<'a> Div<Wrapping<u64>> for &'a Wrapping<u64>

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impl<'a> Div<Wrapping<u128>> for &'a Wrapping<u128>

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impl<'a> Div<Wrapping<usize>> for &'a Wrapping<usize>

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impl<'lhs, 'rhs, T, const N: usize> Div<&'rhs Simd<T, N>> for &'lhs Simd<T, N>
where T: SimdElement, Simd<T, N>: Div<Output = Simd<T, N>>, LaneCount<N>: SupportedLaneCount,

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type Output = Simd<T, N>

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impl<T, const N: usize> Div<&Simd<T, N>> for Simd<T, N>
where T: SimdElement, Simd<T, N>: Div<Output = Simd<T, N>>, LaneCount<N>: SupportedLaneCount,

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type Output = Simd<T, N>

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impl<T, const N: usize> Div<Simd<T, N>> for &Simd<T, N>
where T: SimdElement, Simd<T, N>: Div<Output = Simd<T, N>>, LaneCount<N>: SupportedLaneCount,

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type Output = Simd<T, N>

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impl<const N: usize> Div for Simd<f32, N>

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type Output = Simd<f32, N>

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impl<const N: usize> Div for Simd<f64, N>

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type Output = Simd<f64, N>

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impl<const N: usize> Div for Simd<i8, N>

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type Output = Simd<i8, N>

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impl<const N: usize> Div for Simd<i16, N>

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type Output = Simd<i16, N>

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impl<const N: usize> Div for Simd<i32, N>

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type Output = Simd<i32, N>

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impl<const N: usize> Div for Simd<i64, N>

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type Output = Simd<i64, N>

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impl<const N: usize> Div for Simd<isize, N>

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type Output = Simd<isize, N>

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impl<const N: usize> Div for Simd<u8, N>

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type Output = Simd<u8, N>

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impl<const N: usize> Div for Simd<u16, N>

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type Output = Simd<u16, N>

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impl<const N: usize> Div for Simd<u32, N>

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type Output = Simd<u32, N>

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impl<const N: usize> Div for Simd<u64, N>

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type Output = Simd<u64, N>

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impl<const N: usize> Div for Simd<usize, N>

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type Output = Simd<usize, N>