Trait nom::lib::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 {
    nominator: usize,
    denominator: usize,
}

impl Rational {
    fn new(nominator: 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(nominator, denominator);
        Rational {
            nominator: nominator / 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 nominator = self.nominator * rhs.nominator;
        let denominator = self.denominator * rhs.denominator;
        Rational::new(nominator, 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 = Vector;

    fn mul(self, rhs: Scalar) -> Vector {
        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.

Required Methods

#[must_use]

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

Performs the * operation.

Implementations on Foreign Types

impl Mul<i32> for i32

type Output = i32

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

impl Mul<usize> for usize

type Output = usize

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

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, 'b> Mul<&'a i64> for &'b i64

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

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

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

type Output = Wrapping<u8>

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

impl Mul<u64> for u64

type Output = u64

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

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

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

type Output = Wrapping<i32>

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

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

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

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

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

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

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

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

type Output = Wrapping<u128>

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

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

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

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

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

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

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

impl Mul<i64> for i64

type Output = i64

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

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

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

fn mul(self, other: &'a u32) -> <u32 as Mul<u32>>::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<&'a u64> for u64

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

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

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

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

fn mul(     self,     other: &'a Wrapping<u8> ) -> <Wrapping<u8> as Mul<Wrapping<u8>>>::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<&'a Wrapping<i64>> for Wrapping<i64>

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

fn mul(     self,     other: &'a Wrapping<i64> ) -> <Wrapping<i64> as Mul<Wrapping<i64>>>::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<i16> for &'a i16

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

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

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

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

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

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

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

fn mul(self, other: &'a i64) -> <i64 as Mul<i64>>::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<&'a i32> for i32

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

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

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

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

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

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

type Output = Wrapping<isize>

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

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

type Output = Wrapping<u32>

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

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

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

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

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

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

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

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

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

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

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

type Output = Wrapping<u16>

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

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 Mul<i8> for i8

type Output = i8

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

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

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

fn mul(self, other: &'a i128) -> <i128 as Mul<i128>>::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 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<'a> Mul<&'a Wrapping<u8>> for Wrapping<u8>

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

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

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

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

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

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

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

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

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

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

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

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

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

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

impl Mul<u8> for u8

type Output = u8

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

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<u128> for &'a u128

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

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

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

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

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

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

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

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

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

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

fn mul(self, other: &'a usize) -> <usize as Mul<usize>>::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 Mul<u16> for u16

type Output = u16

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

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

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

fn mul(     self,     other: &'a Wrapping<u16> ) -> <Wrapping<u16> as Mul<Wrapping<u16>>>::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<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<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<&'a u32> for u32

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

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

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

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

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

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

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

fn mul(self, other: &'a f32) -> <f32 as Mul<f32>>::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<u64> for &'a u64

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

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

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

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

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

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

type Output = Wrapping<u64>

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

impl Mul<f32> for f32

type Output = f32

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

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<isize> for &'a isize

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

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

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

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

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

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

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

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

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

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

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

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

type Output = Wrapping<usize>

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

impl Mul<i16> for i16

type Output = i16

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

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

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

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

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

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

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

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

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

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

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

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

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

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

type Output = Wrapping<i8>

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

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<&'a u16> for u16

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

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

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

type Output = Wrapping<i16>

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

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

type Output = Wrapping<i128>

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

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

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

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

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

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

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

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

type Output = Wrapping<i64>

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

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

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

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

impl Mul<i128> for i128

type Output = i128

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

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

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

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

impl Mul<u32> for u32

type Output = u32

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

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

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

fn mul(self, other: &'a i128) -> <i128 as Mul<i128>>::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 Mul<u32> for Duration

type Output = Duration

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

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

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

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

impl Mul<f64> for f64

type Output = f64

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

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

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

fn mul(self, other: &'a u128) -> <u128 as Mul<u128>>::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<&'a Wrapping<usize>> for Wrapping<usize>

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

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

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

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

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

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

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

fn mul(     self,     other: &'a Wrapping<i8> ) -> <Wrapping<i8> as Mul<Wrapping<i8>>>::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<&'a Wrapping<u32>> for Wrapping<u32>

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

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

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

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

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

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

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

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

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

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

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

Implementors