Trait std::ops::Mul

#[lang = "mul"]
pub trait Mul<Rhs = Self> {
    type Output;
#[must_use]
    fn mul(self, rhs: Rhs) -> Self::Output;
}

The multiplication operator *.

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

Examples

Multipliable 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);
        Rational {
            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;
        Rational::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));

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 {
        Vector { 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] });

Associated Types

type Output

The resulting type after applying the * operator.

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Required methods

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

Performs the * operation.

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Implementors

impl Mul<f32> for f32

type Output = f32

fn mul(self, other: f32) -> f32

impl Mul<f64> for f64

type Output = f64

fn mul(self, other: f64) -> f64

impl Mul<i128> for i128

type Output = i128

fn mul(self, other: i128) -> i128

impl Mul<i16> for i16

type Output = i16

fn mul(self, other: i16) -> i16

impl Mul<i32> for i32

type Output = i32

fn mul(self, other: i32) -> i32

impl Mul<i64> for i64

type Output = i64

fn mul(self, other: i64) -> i64

impl Mul<i8> for i8

type Output = i8

fn mul(self, other: i8) -> i8

impl Mul<isize> for isize

type Output = isize

fn mul(self, other: isize) -> isize

impl Mul<u128> for u128

type Output = u128

fn mul(self, other: u128) -> u128

impl Mul<u16> for u16

type Output = u16

fn mul(self, other: u16) -> u16

impl Mul<u32> for Duration

type Output = Duration

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

impl Mul<u32> for u32

type Output = u32

fn mul(self, other: u32) -> u32

impl Mul<u64> for u64

type Output = u64

fn mul(self, other: u64) -> u64

impl Mul<u8> for u8

type Output = u8

fn mul(self, other: u8) -> u8

impl Mul<usize> for usize

type Output = usize

fn mul(self, other: usize) -> usize

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

type Output = Wrapping<i128>

fn mul(self, other: Wrapping<i128>) -> Wrapping<i128>

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

type Output = Wrapping<i16>

fn mul(self, other: Wrapping<i16>) -> Wrapping<i16>

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

type Output = Wrapping<i32>

fn mul(self, other: Wrapping<i32>) -> Wrapping<i32>

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

type Output = Wrapping<i64>

fn mul(self, other: Wrapping<i64>) -> Wrapping<i64>

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

type Output = Wrapping<i8>

fn mul(self, other: Wrapping<i8>) -> Wrapping<i8>

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

type Output = Wrapping<isize>

fn mul(self, other: Wrapping<isize>) -> Wrapping<isize>

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

type Output = Wrapping<u128>

fn mul(self, other: Wrapping<u128>) -> Wrapping<u128>

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

type Output = Wrapping<u16>

fn mul(self, other: Wrapping<u16>) -> Wrapping<u16>

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

type Output = Wrapping<u32>

fn mul(self, other: Wrapping<u32>) -> Wrapping<u32>

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

type Output = Wrapping<u64>

fn mul(self, other: Wrapping<u64>) -> Wrapping<u64>

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

type Output = Wrapping<u8>

fn mul(self, other: Wrapping<u8>) -> Wrapping<u8>

impl Mul<Wrapping<usize>> for Wrapping<usize>

type Output = Wrapping<usize>

fn mul(self, other: Wrapping<usize>) -> Wrapping<usize>

impl Mul<Duration> for u32

type Output = Duration

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

impl<'_> Mul<&'_ f32> for f32

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

fn mul(self, other: &f32) -> <f32 as Mul<f32>>::Output

impl<'_> Mul<&'_ f64> for f64

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

fn mul(self, other: &f64) -> <f64 as Mul<f64>>::Output

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

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

fn mul(self, other: &i128) -> <i128 as Mul<i128>>::Output

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

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

fn mul(self, other: &i16) -> <i16 as Mul<i16>>::Output

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

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

fn mul(self, other: &i32) -> <i32 as Mul<i32>>::Output

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

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

fn mul(self, other: &i64) -> <i64 as Mul<i64>>::Output

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

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

fn mul(self, other: &i8) -> <i8 as Mul<i8>>::Output

impl<'_> Mul<&'_ isize> for isize

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

fn mul(self, other: &isize) -> <isize as Mul<isize>>::Output

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

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

fn mul(self, other: &u128) -> <u128 as Mul<u128>>::Output

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

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

fn mul(self, other: &u16) -> <u16 as Mul<u16>>::Output

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

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

fn mul(self, other: &u32) -> <u32 as Mul<u32>>::Output

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

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

fn mul(self, other: &u64) -> <u64 as Mul<u64>>::Output

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

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

fn mul(self, other: &u8) -> <u8 as Mul<u8>>::Output

impl<'_> Mul<&'_ usize> for usize

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

fn mul(self, other: &usize) -> <usize as Mul<usize>>::Output

impl<'_> Mul<&'_ Wrapping<i128>> for Wrapping<i128>

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

fn mul(
    self,
    other: &Wrapping<i128>
) -> <Wrapping<i128> as Mul<Wrapping<i128>>>::Output

impl<'_> Mul<&'_ Wrapping<i16>> for Wrapping<i16>

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

fn mul(
    self,
    other: &Wrapping<i16>
) -> <Wrapping<i16> as Mul<Wrapping<i16>>>::Output

impl<'_> Mul<&'_ Wrapping<i32>> for Wrapping<i32>

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

fn mul(
    self,
    other: &Wrapping<i32>
) -> <Wrapping<i32> as Mul<Wrapping<i32>>>::Output

impl<'_> Mul<&'_ Wrapping<i64>> for Wrapping<i64>

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

fn mul(
    self,
    other: &Wrapping<i64>
) -> <Wrapping<i64> as Mul<Wrapping<i64>>>::Output

impl<'_> Mul<&'_ Wrapping<i8>> for Wrapping<i8>

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

fn mul(
    self,
    other: &Wrapping<i8>
) -> <Wrapping<i8> as Mul<Wrapping<i8>>>::Output

impl<'_> Mul<&'_ Wrapping<isize>> for Wrapping<isize>

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

fn mul(
    self,
    other: &Wrapping<isize>
) -> <Wrapping<isize> as Mul<Wrapping<isize>>>::Output

impl<'_> Mul<&'_ Wrapping<u128>> for Wrapping<u128>

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

fn mul(
    self,
    other: &Wrapping<u128>
) -> <Wrapping<u128> as Mul<Wrapping<u128>>>::Output

impl<'_> Mul<&'_ Wrapping<u16>> for Wrapping<u16>

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

fn mul(
    self,
    other: &Wrapping<u16>
) -> <Wrapping<u16> as Mul<Wrapping<u16>>>::Output

impl<'_> Mul<&'_ Wrapping<u32>> for Wrapping<u32>

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

fn mul(
    self,
    other: &Wrapping<u32>
) -> <Wrapping<u32> as Mul<Wrapping<u32>>>::Output

impl<'_> Mul<&'_ Wrapping<u64>> for Wrapping<u64>

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

fn mul(
    self,
    other: &Wrapping<u64>
) -> <Wrapping<u64> as Mul<Wrapping<u64>>>::Output

impl<'_> Mul<&'_ Wrapping<u8>> for Wrapping<u8>

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

fn mul(
    self,
    other: &Wrapping<u8>
) -> <Wrapping<u8> as Mul<Wrapping<u8>>>::Output

impl<'_> Mul<&'_ Wrapping<usize>> for Wrapping<usize>

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

fn mul(
    self,
    other: &Wrapping<usize>
) -> <Wrapping<usize> as Mul<Wrapping<usize>>>::Output

impl<'_, '_> Mul<&'_ f32> for &'_ f32

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

fn mul(self, other: &f32) -> <f32 as Mul<f32>>::Output

impl<'_, '_> Mul<&'_ f64> for &'_ f64

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

fn mul(self, other: &f64) -> <f64 as Mul<f64>>::Output

impl<'_, '_> Mul<&'_ i128> for &'_ i128

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

fn mul(self, other: &i128) -> <i128 as Mul<i128>>::Output

impl<'_, '_> Mul<&'_ i16> for &'_ i16

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

fn mul(self, other: &i16) -> <i16 as Mul<i16>>::Output

impl<'_, '_> Mul<&'_ i32> for &'_ i32

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

fn mul(self, other: &i32) -> <i32 as Mul<i32>>::Output

impl<'_, '_> Mul<&'_ i64> for &'_ i64

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

fn mul(self, other: &i64) -> <i64 as Mul<i64>>::Output

impl<'_, '_> Mul<&'_ i8> for &'_ i8

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

fn mul(self, other: &i8) -> <i8 as Mul<i8>>::Output

impl<'_, '_> Mul<&'_ isize> for &'_ isize

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

fn mul(self, other: &isize) -> <isize as Mul<isize>>::Output

impl<'_, '_> Mul<&'_ u128> for &'_ u128

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

fn mul(self, other: &u128) -> <u128 as Mul<u128>>::Output

impl<'_, '_> Mul<&'_ u16> for &'_ u16

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

fn mul(self, other: &u16) -> <u16 as Mul<u16>>::Output

impl<'_, '_> Mul<&'_ u32> for &'_ u32

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

fn mul(self, other: &u32) -> <u32 as Mul<u32>>::Output

impl<'_, '_> Mul<&'_ u64> for &'_ u64

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

fn mul(self, other: &u64) -> <u64 as Mul<u64>>::Output

impl<'_, '_> Mul<&'_ u8> for &'_ u8

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

fn mul(self, other: &u8) -> <u8 as Mul<u8>>::Output

impl<'_, '_> Mul<&'_ usize> for &'_ usize

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

fn mul(self, other: &usize) -> <usize as Mul<usize>>::Output

impl<'_, '_> Mul<&'_ Wrapping<i128>> for &'_ Wrapping<i128>

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

fn mul(
    self,
    other: &Wrapping<i128>
) -> <Wrapping<i128> as Mul<Wrapping<i128>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<i16>> for &'_ Wrapping<i16>

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

fn mul(
    self,
    other: &Wrapping<i16>
) -> <Wrapping<i16> as Mul<Wrapping<i16>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<i32>> for &'_ Wrapping<i32>

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

fn mul(
    self,
    other: &Wrapping<i32>
) -> <Wrapping<i32> as Mul<Wrapping<i32>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<i64>> for &'_ Wrapping<i64>

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

fn mul(
    self,
    other: &Wrapping<i64>
) -> <Wrapping<i64> as Mul<Wrapping<i64>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<i8>> for &'_ Wrapping<i8>

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

fn mul(
    self,
    other: &Wrapping<i8>
) -> <Wrapping<i8> as Mul<Wrapping<i8>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<isize>> for &'_ Wrapping<isize>

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

fn mul(
    self,
    other: &Wrapping<isize>
) -> <Wrapping<isize> as Mul<Wrapping<isize>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<u128>> for &'_ Wrapping<u128>

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

fn mul(
    self,
    other: &Wrapping<u128>
) -> <Wrapping<u128> as Mul<Wrapping<u128>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<u16>> for &'_ Wrapping<u16>

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

fn mul(
    self,
    other: &Wrapping<u16>
) -> <Wrapping<u16> as Mul<Wrapping<u16>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<u32>> for &'_ Wrapping<u32>

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

fn mul(
    self,
    other: &Wrapping<u32>
) -> <Wrapping<u32> as Mul<Wrapping<u32>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<u64>> for &'_ Wrapping<u64>

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

fn mul(
    self,
    other: &Wrapping<u64>
) -> <Wrapping<u64> as Mul<Wrapping<u64>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<u8>> for &'_ Wrapping<u8>

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

fn mul(
    self,
    other: &Wrapping<u8>
) -> <Wrapping<u8> as Mul<Wrapping<u8>>>::Output

impl<'_, '_> Mul<&'_ Wrapping<usize>> for &'_ Wrapping<usize>

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

fn mul(
    self,
    other: &Wrapping<usize>
) -> <Wrapping<usize> as Mul<Wrapping<usize>>>::Output

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

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

fn mul(self, other: f32) -> <f32 as Mul<f32>>::Output

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

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

fn mul(self, other: f64) -> <f64 as Mul<f64>>::Output

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

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

fn mul(self, other: i128) -> <i128 as Mul<i128>>::Output

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

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

fn mul(self, other: i16) -> <i16 as Mul<i16>>::Output

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

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

fn mul(self, other: i32) -> <i32 as Mul<i32>>::Output

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

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

fn mul(self, other: i64) -> <i64 as Mul<i64>>::Output

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

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

fn mul(self, other: i8) -> <i8 as Mul<i8>>::Output

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

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

fn mul(self, other: isize) -> <isize as Mul<isize>>::Output

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

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

fn mul(self, other: u128) -> <u128 as Mul<u128>>::Output

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

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

fn mul(self, other: u16) -> <u16 as Mul<u16>>::Output

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

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

fn mul(self, other: u32) -> <u32 as Mul<u32>>::Output

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

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

fn mul(self, other: u64) -> <u64 as Mul<u64>>::Output

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

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

fn mul(self, other: u8) -> <u8 as Mul<u8>>::Output

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

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

fn mul(self, other: usize) -> <usize as Mul<usize>>::Output

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

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

fn mul(
    self,
    other: Wrapping<i128>
) -> <Wrapping<i128> as Mul<Wrapping<i128>>>::Output

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

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

fn mul(
    self,
    other: Wrapping<i16>
) -> <Wrapping<i16> as Mul<Wrapping<i16>>>::Output

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

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

fn mul(
    self,
    other: Wrapping<i32>
) -> <Wrapping<i32> as Mul<Wrapping<i32>>>::Output

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

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

fn mul(
    self,
    other: Wrapping<i64>
) -> <Wrapping<i64> as Mul<Wrapping<i64>>>::Output

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

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

fn mul(self, other: Wrapping<i8>) -> <Wrapping<i8> as Mul<Wrapping<i8>>>::Output

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

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

fn mul(
    self,
    other: Wrapping<isize>
) -> <Wrapping<isize> as Mul<Wrapping<isize>>>::Output

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

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

fn mul(
    self,
    other: Wrapping<u128>
) -> <Wrapping<u128> as Mul<Wrapping<u128>>>::Output

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

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

fn mul(
    self,
    other: Wrapping<u16>
) -> <Wrapping<u16> as Mul<Wrapping<u16>>>::Output

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

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

fn mul(
    self,
    other: Wrapping<u32>
) -> <Wrapping<u32> as Mul<Wrapping<u32>>>::Output

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

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

fn mul(
    self,
    other: Wrapping<u64>
) -> <Wrapping<u64> as Mul<Wrapping<u64>>>::Output

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

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

fn mul(self, other: Wrapping<u8>) -> <Wrapping<u8> as Mul<Wrapping<u8>>>::Output

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

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

fn mul(
    self,
    other: Wrapping<usize>
) -> <Wrapping<usize> as Mul<Wrapping<usize>>>::Output

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