# Trait core::ops::Mul

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

fn mul(self, rhs: Rhs) -> Self::Output;
}``````
Expand description

The multiplication operator `*`.

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

## Examples

### `Mul`tipliable rational numbers

``````use std::ops::Mul;

// 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 Mul for Rational {
// The multiplication of rational numbers is a closed operation.
type Output = Self;

fn mul(self, rhs: Self) -> Self {
let numerator = self.numerator * rhs.numerator;
let denominator = self.denominator * rhs.denominator;
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(2, 3) * Rational::new(3, 4),
Rational::new(1, 2));``````
Run

### Multiplying vectors by scalars as in linear algebra

``````use std::ops::Mul;

struct Scalar { value: usize }

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

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

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

let vector = Vector { value: vec![2, 4, 6] };
let scalar = Scalar { value: 3 };
assert_eq!(vector * scalar, Vector { value: vec![6, 12, 18] });``````
Run

## Required Associated Types§

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#### type Output

The resulting type after applying the `*` operator.

## Required Methods§

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

Performs the `*` operation.

##### Example
``assert_eq!(12 * 2, 24);``
Run

## Implementors§

const: unstable · source§

### impl Mul<&f32> for &f32

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#### type Output = <f32 as Mul<f32>>::Output

const: unstable · source§

### impl Mul<&f32> for f32

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#### type Output = <f32 as Mul<f32>>::Output

const: unstable · source§

### impl Mul<&f64> for &f64

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#### type Output = <f64 as Mul<f64>>::Output

const: unstable · source§

### impl Mul<&f64> for f64

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#### type Output = <f64 as Mul<f64>>::Output

const: unstable · source§

### impl Mul<&i8> for &i8

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#### type Output = <i8 as Mul<i8>>::Output

const: unstable · source§

### impl Mul<&i8> for i8

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#### type Output = <i8 as Mul<i8>>::Output

const: unstable · source§

### impl Mul<&i16> for &i16

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#### type Output = <i16 as Mul<i16>>::Output

const: unstable · source§

### impl Mul<&i16> for i16

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#### type Output = <i16 as Mul<i16>>::Output

const: unstable · source§

### impl Mul<&i32> for &i32

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#### type Output = <i32 as Mul<i32>>::Output

const: unstable · source§

### impl Mul<&i32> for i32

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#### type Output = <i32 as Mul<i32>>::Output

const: unstable · source§

### impl Mul<&i64> for &i64

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#### type Output = <i64 as Mul<i64>>::Output

const: unstable · source§

### impl Mul<&i64> for i64

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#### type Output = <i64 as Mul<i64>>::Output

const: unstable · source§

### impl Mul<&i128> for &i128

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#### type Output = <i128 as Mul<i128>>::Output

const: unstable · source§

### impl Mul<&i128> for i128

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#### type Output = <i128 as Mul<i128>>::Output

const: unstable · source§

### impl Mul<&isize> for &isize

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#### type Output = <isize as Mul<isize>>::Output

const: unstable · source§

### impl Mul<&isize> for isize

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#### type Output = <isize as Mul<isize>>::Output

const: unstable · source§

### impl Mul<&u8> for &u8

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#### type Output = <u8 as Mul<u8>>::Output

const: unstable · source§

### impl Mul<&u8> for u8

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#### type Output = <u8 as Mul<u8>>::Output

const: unstable · source§

### impl Mul<&u16> for &u16

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#### type Output = <u16 as Mul<u16>>::Output

const: unstable · source§

### impl Mul<&u16> for u16

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#### type Output = <u16 as Mul<u16>>::Output

const: unstable · source§

### impl Mul<&u32> for &u32

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#### type Output = <u32 as Mul<u32>>::Output

const: unstable · source§

### impl Mul<&u32> for u32

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#### type Output = <u32 as Mul<u32>>::Output

const: unstable · source§

### impl Mul<&u64> for &u64

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#### type Output = <u64 as Mul<u64>>::Output

const: unstable · source§

### impl Mul<&u64> for u64

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#### type Output = <u64 as Mul<u64>>::Output

const: unstable · source§

### impl Mul<&u128> for &u128

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#### type Output = <u128 as Mul<u128>>::Output

const: unstable · source§

### impl Mul<&u128> for u128

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#### type Output = <u128 as Mul<u128>>::Output

const: unstable · source§

### impl Mul<&usize> for &usize

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#### type Output = <usize as Mul<usize>>::Output

const: unstable · source§

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### impl Mul<&Wrapping<usize>> for Wrapping<usize>

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#### type Output = <Wrapping<usize> as Mul<Wrapping<usize>>>::Output

const: unstable · source§

### impl Mul<f32> for f32

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#### type Output = f32

const: unstable · source§

### impl Mul<f64> for f64

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#### type Output = f64

const: unstable · source§

### impl Mul<i8> for i8

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#### type Output = i8

const: unstable · source§

### impl Mul<i16> for i16

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#### type Output = i16

const: unstable · source§

### impl Mul<i32> for i32

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#### type Output = i32

const: unstable · source§

### impl Mul<i64> for i64

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#### type Output = i64

const: unstable · source§

### impl Mul<i128> for i128

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#### type Output = i128

const: unstable · source§

### impl Mul<isize> for isize

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#### type Output = isize

const: unstable · source§

### impl Mul<u8> for u8

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#### type Output = u8

const: unstable · source§

### impl Mul<u16> for u16

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#### type Output = u16

const: unstable · source§

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1.3.0 · source§

### impl Mul<u32> for Duration

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#### type Output = Duration

const: unstable · source§

### impl Mul<u64> for u64

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#### type Output = u64

const: unstable · source§

### impl Mul<u128> for u128

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#### type Output = u128

const: unstable · source§

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### impl Mul<Saturating<usize>> for Saturating<usize>

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#### type Output = Saturating<usize>

const: unstable · source§

### impl Mul<Wrapping<i8>> for Wrapping<i8>

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#### type Output = Wrapping<i8>

const: unstable · source§

### impl Mul<Wrapping<i16>> for Wrapping<i16>

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#### type Output = Wrapping<i16>

const: unstable · source§

### impl Mul<Wrapping<i32>> for Wrapping<i32>

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#### type Output = Wrapping<i32>

const: unstable · source§

### impl Mul<Wrapping<i64>> for Wrapping<i64>

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#### type Output = Wrapping<i64>

const: unstable · source§

### impl Mul<Wrapping<i128>> for Wrapping<i128>

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#### type Output = Wrapping<i128>

const: unstable · source§

### impl Mul<Wrapping<isize>> for Wrapping<isize>

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#### type Output = Wrapping<isize>

const: unstable · source§

### impl Mul<Wrapping<u8>> for Wrapping<u8>

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#### type Output = Wrapping<u8>

const: unstable · source§

### impl Mul<Wrapping<u16>> for Wrapping<u16>

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#### type Output = Wrapping<u16>

const: unstable · source§

### impl Mul<Wrapping<u32>> for Wrapping<u32>

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#### type Output = Wrapping<u32>

const: unstable · source§

### impl Mul<Wrapping<u64>> for Wrapping<u64>

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#### type Output = Wrapping<u64>

const: unstable · source§

### impl Mul<Wrapping<u128>> for Wrapping<u128>

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#### type Output = Wrapping<u128>

const: unstable · source§

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1.31.0 · source§

### impl Mul<Duration> for u32

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#### type Output = Duration

const: unstable · source§

### impl<'a> Mul<f32> for &'a f32

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#### type Output = <f32 as Mul<f32>>::Output

const: unstable · source§

### impl<'a> Mul<f64> for &'a f64

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#### type Output = <f64 as Mul<f64>>::Output

const: unstable · source§

### impl<'a> Mul<i8> for &'a i8

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#### type Output = <i8 as Mul<i8>>::Output

const: unstable · source§

### impl<'a> Mul<i16> for &'a i16

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#### type Output = <i16 as Mul<i16>>::Output

const: unstable · source§

### impl<'a> Mul<i32> for &'a i32

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#### type Output = <i32 as Mul<i32>>::Output

const: unstable · source§

### impl<'a> Mul<i64> for &'a i64

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#### type Output = <i64 as Mul<i64>>::Output

const: unstable · source§

### impl<'a> Mul<i128> for &'a i128

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#### type Output = <i128 as Mul<i128>>::Output

const: unstable · source§

### impl<'a> Mul<isize> for &'a isize

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#### type Output = <isize as Mul<isize>>::Output

const: unstable · source§

### impl<'a> Mul<u8> for &'a u8

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#### type Output = <u8 as Mul<u8>>::Output

const: unstable · source§

### impl<'a> Mul<u16> for &'a u16

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#### type Output = <u16 as Mul<u16>>::Output

const: unstable · source§

### impl<'a> Mul<u32> for &'a u32

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#### type Output = <u32 as Mul<u32>>::Output

const: unstable · source§

### impl<'a> Mul<u64> for &'a u64

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#### type Output = <u64 as Mul<u64>>::Output

const: unstable · source§

### impl<'a> Mul<u128> for &'a u128

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#### type Output = <u128 as Mul<u128>>::Output

const: unstable · source§

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