Trait nom::lib::std::ops::Mul1.0.0[][src]

#[lang = "mul"]
pub trait Mul<RHS = Self> { type Output; 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

The resulting type after applying the * operator.

Required Methods

Performs the * operation.

Implementations on Foreign Types

impl Mul<u8> for u8x4
[src]

impl<'a> Mul<Wrapping<u16>> for &'a Wrapping<u16>
[src]

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

impl<'a, 'b> Mul<&'a u128> for &'b u128
[src]

impl Mul<i16> for i16
[src]

impl<'a, 'b> Mul<&'a i32> for &'b i32
[src]

impl<'a> Mul<u32> for &'a u32
[src]

impl Mul<i8x2> for i8
[src]

impl Mul<f32x16> for f32x16
[src]

impl Mul<Wrapping<isize>> for Wrapping<isize>
[src]

impl<'a> Mul<i16> for &'a i16
[src]

impl Mul<i16> for i16x4
[src]

impl Mul<i32> for i32x8
[src]

impl<'a> Mul<&'a f32> for f32
[src]

impl Mul<i16x2> for i16
[src]

impl<'a, 'b> Mul<&'a i64> for &'b i64
[src]

impl Mul<u64> for u64x4
[src]

impl Mul<u8x4> for u8
[src]

impl<'a, 'b> Mul<&'a i128> for &'b i128
[src]

impl<'a> Mul<i64> for &'a i64
[src]

impl Mul<i16x16> for i16
[src]

impl Mul<f32x4> for f32x4
[src]

impl<'a> Mul<&'a u64> for u64
[src]

impl Mul<i32x8> for i32
[src]

impl Mul<i8> for i8x32
[src]

impl Mul<u8x8> for u8x8
[src]

impl Mul<u64> for u64x8
[src]

impl Mul<u8x4> for u8x4
[src]

impl Mul<f64x8> for f64x8
[src]

impl<'a> Mul<&'a f64> for f64
[src]

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

impl Mul<i128> for i128
[src]

impl<'a> Mul<&'a usize> for usize
[src]

impl Mul<i32> for i32
[src]

impl<'a> Mul<f32> for &'a f32
[src]

impl<'a> Mul<Wrapping<u32>> for &'a Wrapping<u32>
[src]

impl<'a> Mul<&'a Wrapping<isize>> for Wrapping<isize>
[src]

impl Mul<i64> for i64x8
[src]

impl Mul<u8x2> for u8
[src]

impl Mul<u16> for u16x8
[src]

impl<'a> Mul<&'a Wrapping<usize>> for Wrapping<usize>
[src]

impl Mul<u64> for u64x2
[src]

impl<'a> Mul<&'a i32> for i32
[src]

impl Mul<u32x8> for u32
[src]

impl Mul<u8x64> for u8
[src]

impl Mul<u32x4> for u32
[src]

impl Mul<Wrapping<i64>> for Wrapping<i64>
[src]

impl Mul<u8> for u8x8
[src]

impl Mul<Wrapping<u8>> for Wrapping<u8>
[src]

impl Mul<f64> for f64x4
[src]

impl<'a> Mul<&'a u128> for u128
[src]

impl<'a> Mul<Wrapping<usize>> for &'a Wrapping<usize>
[src]

impl Mul<u64x2> for u64x2
[src]

impl Mul<u16> for u16x2
[src]

impl Mul<i16> for i16x2
[src]

impl Mul<u32> for u32
[src]

impl Mul<i8x64> for i8
[src]

impl Mul<f32x2> for f32x2
[src]

impl Mul<u32> for u32x4
[src]

impl<'a, 'b> Mul<&'a i8> for &'b i8
[src]

impl Mul<u32x2> for u32x2
[src]

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

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

impl<'a> Mul<u128> for &'a u128
[src]

impl Mul<i64x2> for i64
[src]

impl<'a> Mul<&'a Wrapping<i8>> for Wrapping<i8>
[src]

impl Mul<i64x4> for i64x4
[src]

impl Mul<Wrapping<i128>> for Wrapping<i128>
[src]

impl<'a> Mul<&'a Wrapping<u8>> for Wrapping<u8>
[src]

impl<'a, 'b> Mul<&'a i16> for &'b i16
[src]

impl Mul<u16x8> for u16x8
[src]

impl Mul<u8> for u8x16
[src]

impl Mul<i16x32> for i16x32
[src]

impl Mul<i16x4> for i16x4
[src]

impl Mul<u8x16> for u8
[src]

impl Mul<i8x64> for i8x64
[src]

impl Mul<i16x8> for i16x8
[src]

impl Mul<f32> for f32x4
[src]

impl Mul<f32> for f32x8
[src]

impl<'a> Mul<&'a Wrapping<u16>> for Wrapping<u16>
[src]

impl Mul<isize> for isize
[src]

impl Mul<u16> for u16x16
[src]

impl<'a> Mul<&'a i64> for i64
[src]

impl<'a> Mul<&'a Wrapping<i16>> for Wrapping<i16>
[src]

impl<'a, 'b> Mul<&'a u16> for &'b u16
[src]

impl Mul<u16x16> for u16
[src]

impl Mul<i8x8> for i8
[src]

impl Mul<i8> for i8x2
[src]

impl<'a> Mul<i128> for &'a i128
[src]

impl Mul<i32> for i32x4
[src]

impl<'a, 'b> Mul<&'a f64> for &'b f64
[src]

impl<'a, 'b> Mul<&'a usize> for &'b usize
[src]

impl Mul<i8x4> for i8
[src]

impl Mul<f64> for f64
[src]

impl Mul<f64x2> for f64
[src]

impl Mul<i8> for i8x8
[src]

impl Mul<i32x2> for i32x2
[src]

impl Mul<Wrapping<i16>> for Wrapping<i16>
[src]

impl Mul<i16> for i16x32
[src]

impl Mul<u16x8> for u16
[src]

impl<'a> Mul<Wrapping<u8>> for &'a Wrapping<u8>
[src]

impl Mul<Wrapping<u128>> for Wrapping<u128>
[src]

impl Mul<f64x4> for f64x4
[src]

impl Mul<i32x4> for i32x4
[src]

impl<'a> Mul<i8> for &'a i8
[src]

impl Mul<u8x2> for u8x2
[src]

impl<'a> Mul<&'a u32> for u32
[src]

impl Mul<u8x32> for u8x32
[src]

impl Mul<i8> for i8x64
[src]

impl Mul<i8x8> for i8x8
[src]

impl<'a> Mul<Wrapping<i128>> for &'a Wrapping<i128>
[src]

impl<'a> Mul<&'a i128> for i128
[src]

impl Mul<f32> for f32x16
[src]

impl Mul<Wrapping<i32>> for Wrapping<i32>
[src]

impl Mul<u64x4> for u64
[src]

impl<'a> Mul<&'a i16> for i16
[src]

impl Mul<u64x8> for u64
[src]

impl<'a> Mul<f64> for &'a f64
[src]

impl<'a> Mul<u16> for &'a u16
[src]

impl Mul<f32> for f32x2
[src]

impl Mul<u32x8> for u32x8
[src]

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

impl Mul<usize> for usize
[src]

impl Mul<Wrapping<u64>> for Wrapping<u64>
[src]

impl Mul<i8> for i8x16
[src]

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

impl Mul<f64x4> for f64
[src]

impl Mul<i64x2> for i64x2
[src]

impl Mul<u128> for u128
[src]

impl<'a> Mul<&'a Wrapping<i32>> for Wrapping<i32>
[src]

impl<'a, 'b> Mul<&'a u64> for &'b u64
[src]

impl<'a> Mul<&'a Wrapping<u128>> for Wrapping<u128>
[src]

impl Mul<i16> for i16x16
[src]

impl<'a, 'b> Mul<&'a f32> for &'b f32
[src]

impl Mul<u8x16> for u8x16
[src]

impl Mul<i32x8> for i32x8
[src]

impl Mul<f64x8> for f64
[src]

impl<'a, 'b> Mul<&'a isize> for &'b isize
[src]

impl Mul<u16> for u16x32
[src]

impl Mul<i8x32> for i8x32
[src]

impl Mul<f32x4> for f32
[src]

impl Mul<i16x32> for i16
[src]

impl Mul<i32x16> for i32x16
[src]

impl Mul<u16x4> for u16x4
[src]

impl Mul<i32x4> for i32
[src]

impl Mul<u32> for u32x2
[src]

impl Mul<u32x4> for u32x4
[src]

impl<'a> Mul<&'a isize> for isize
[src]

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

impl<'a, 'b> Mul<&'a u32> for &'b u32
[src]

impl Mul<u16> for u16
[src]

impl Mul<u8x8> for u8
[src]

impl Mul<u16x32> for u16
[src]

impl<'a> Mul<u64> for &'a u64
[src]

impl Mul<i32x16> for i32
[src]

impl Mul<i64> for i64x2
[src]

impl Mul<f64x2> for f64x2
[src]

impl Mul<Wrapping<usize>> for Wrapping<usize>
[src]

impl Mul<u16x16> for u16x16
[src]

impl Mul<i64x4> for i64
[src]

impl<'a> Mul<Wrapping<i16>> for &'a Wrapping<i16>
[src]

impl Mul<i16x4> for i16
[src]

impl Mul<u64x4> for u64x4
[src]

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

impl<'a> Mul<&'a u16> for u16
[src]

impl Mul<u64x8> for u64x8
[src]

impl Mul<f64> for f64x8
[src]

impl Mul<i8x4> for i8x4
[src]

impl Mul<u16x2> for u16x2
[src]

impl<'a> Mul<Wrapping<u64>> for &'a Wrapping<u64>
[src]

impl Mul<u64x2> for u64
[src]

impl Mul<f32x8> for f32
[src]

impl Mul<i8x16> for i8x16
[src]

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

impl Mul<u8> for u8
[src]

impl<'a> Mul<&'a u8> for u8
[src]

impl Mul<i32x2> for i32
[src]

impl Mul<i8x16> for i8
[src]

impl Mul<f32x16> for f32
[src]

impl<'a> Mul<&'a i8> for i8
[src]

impl<'a> Mul<Wrapping<i64>> for &'a Wrapping<i64>
[src]

impl<'a> Mul<usize> for &'a usize
[src]

impl<'a> Mul<Wrapping<u128>> for &'a Wrapping<u128>
[src]

impl Mul<u32x16> for u32
[src]

impl Mul<i8x32> for i8
[src]

impl Mul<i64> for i64
[src]

impl Mul<i32> for i32x16
[src]

impl<'a> Mul<u8> for &'a u8
[src]

impl Mul<u8x64> for u8x64
[src]

impl Mul<Wrapping<u32>> for Wrapping<u32>
[src]

impl<'a, 'b> Mul<&'a u8> for &'b u8
[src]

impl Mul<f64> for f64x2
[src]

impl Mul<u16x2> for u16
[src]

impl Mul<u32x2> for u32
[src]

impl<'a> Mul<Wrapping<i8>> for &'a Wrapping<i8>
[src]

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

impl Mul<i16x16> for i16x16
[src]

impl Mul<i64x8> for i64x8
[src]

impl Mul<u32> for Duration
[src]

impl Mul<u32> for u32x16
[src]

impl<'a> Mul<Wrapping<i32>> for &'a Wrapping<i32>
[src]

impl Mul<i16x8> for i16
[src]

impl Mul<u32x16> for u32x16
[src]

impl<'a> Mul<isize> for &'a isize
[src]

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

impl Mul<u8> for u8x32
[src]

impl Mul<u8x32> for u8
[src]

impl Mul<Wrapping<u16>> for Wrapping<u16>
[src]

impl Mul<u64> for u64
[src]

impl<'a> Mul<Wrapping<isize>> for &'a Wrapping<isize>
[src]

impl<'a> Mul<i32> for &'a i32
[src]

impl Mul<u16x4> for u16
[src]

impl Mul<f32x8> for f32x8
[src]

impl Mul<i64x8> for i64
[src]

impl Mul<i8> for i8x4
[src]

impl Mul<u16x32> for u16x32
[src]

impl Mul<i8x2> for i8x2
[src]

impl Mul<u8> for u8x64
[src]

impl<'a> Mul<&'a Wrapping<i64>> for Wrapping<i64>
[src]

impl Mul<u32> for u32x8
[src]

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

impl Mul<i8> for i8
[src]

impl Mul<i16x2> for i16x2
[src]

impl Mul<i64> for i64x4
[src]

impl Mul<f32x2> for f32
[src]

impl Mul<i16> for i16x8
[src]

impl Mul<u16> for u16x4
[src]

impl Mul<f32> for f32
[src]

impl Mul<Wrapping<i8>> for Wrapping<i8>
[src]

impl Mul<i32> for i32x2
[src]

impl Mul<u8> for u8x2
[src]

impl<'a> Mul<&'a Wrapping<u32>> for Wrapping<u32>
[src]

impl<'a> Mul<&'a Wrapping<u64>> for Wrapping<u64>
[src]

impl<'a> Mul<&'a Wrapping<i128>> for Wrapping<i128>
[src]

Implementors