Trait dorset::operations::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<f32> for f32
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impl<'a, 'b> Mul<&'a i128> for &'b i128
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impl<'a> Mul<&'a Wrapping<usize>> for Wrapping<usize>
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impl Mul<Wrapping<i16>> for Wrapping<i16>
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impl<'a> Mul<u8> for &'a u8
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impl Mul<Wrapping<u128>> for Wrapping<u128>
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impl<'a, 'b> Mul<&'a Wrapping<u32>> for &'b Wrapping<u32>
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impl<'a, 'b> Mul<&'a Wrapping<u16>> for &'b Wrapping<u16>
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impl Mul<i32> for i32
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impl<'a, 'b> Mul<&'a i64> for &'b i64
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impl Mul<Wrapping<i64>> for Wrapping<i64>
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impl<'a, 'b> Mul<&'a Wrapping<i16>> for &'b Wrapping<i16>
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impl<'a> Mul<&'a Wrapping<u64>> for Wrapping<u64>
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impl<'a, 'b> Mul<&'a u128> for &'b u128
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impl Mul<i8> for i8
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impl<'a> Mul<&'a i8> for i8
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impl<'a> Mul<&'a Wrapping<u32>> for Wrapping<u32>
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impl<'a> Mul<&'a u8> for u8
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impl Mul<u32> for Duration
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impl<'a> Mul<usize> for &'a usize
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impl<'a, 'b> Mul<&'a i8> for &'b i8
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impl Mul<Wrapping<u8>> for Wrapping<u8>
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impl Mul<Wrapping<usize>> for Wrapping<usize>
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impl Mul<u16> for u16
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impl<'a, 'b> Mul<&'a Wrapping<i64>> for &'b Wrapping<i64>
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impl<'a> Mul<f32> for &'a f32
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impl<'a, 'b> Mul<&'a Wrapping<isize>> for &'b Wrapping<isize>
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impl<'a, 'b> Mul<&'a f64> for &'b f64
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impl<'a> Mul<Wrapping<i32>> for &'a Wrapping<i32>
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impl Mul<Wrapping<u32>> for Wrapping<u32>
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impl<'a> Mul<&'a Wrapping<i16>> for Wrapping<i16>
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impl<'a> Mul<i32> for &'a i32
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impl<'a, 'b> Mul<&'a Wrapping<u64>> for &'b Wrapping<u64>
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impl Mul<Wrapping<u16>> for Wrapping<u16>
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impl<'a, 'b> Mul<&'a f32> for &'b f32
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impl<'a> Mul<&'a Wrapping<isize>> for Wrapping<isize>
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impl Mul<f64> for f64
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impl<'a, 'b> Mul<&'a usize> for &'b usize
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impl Mul<Wrapping<u64>> for Wrapping<u64>
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impl Mul<u128> for u128
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impl<'a, 'b> Mul<&'a u32> for &'b u32
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impl<'a> Mul<&'a usize> for usize
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impl<'a> Mul<&'a Wrapping<i8>> for Wrapping<i8>
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impl Mul<u64> for u64
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impl<'a> Mul<Wrapping<u16>> for &'a Wrapping<u16>
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impl<'a> Mul<&'a i64> for i64
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impl<'a> Mul<isize> for &'a isize
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impl<'a> Mul<&'a i16> for i16
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impl<'a, 'b> Mul<&'a i16> for &'b i16
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impl Mul<u32> for u32
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impl<'a> Mul<u128> for &'a u128
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impl<'a> Mul<u32> for &'a u32
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impl<'a, 'b> Mul<&'a Wrapping<i128>> for &'b Wrapping<i128>
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impl<'a> Mul<i8> for &'a i8
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impl<'a, 'b> Mul<&'a u16> for &'b u16
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impl<'a> Mul<Wrapping<i16>> for &'a Wrapping<i16>
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impl<'a> Mul<Wrapping<u64>> for &'a Wrapping<u64>
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impl<'a> Mul<&'a isize> for isize
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impl Mul<usize> for usize
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impl<'a> Mul<&'a i32> for i32
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impl Mul<Wrapping<i128>> for Wrapping<i128>
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impl Mul<Wrapping<i32>> for Wrapping<i32>
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impl Mul<i64> for i64
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impl<'a, 'b> Mul<&'a u8> for &'b u8
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impl<'a> Mul<&'a Wrapping<i64>> for Wrapping<i64>
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impl<'a> Mul<Wrapping<i8>> for &'a Wrapping<i8>
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impl<'a, 'b> Mul<&'a u64> for &'b u64
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impl Mul<i16> for i16
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impl Mul<Wrapping<isize>> for Wrapping<isize>
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impl<'a> Mul<Wrapping<u8>> for &'a Wrapping<u8>
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impl<'a, 'b> Mul<&'a isize> for &'b isize
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impl<'a, 'b> Mul<&'a Wrapping<usize>> for &'b Wrapping<usize>
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impl<'a> Mul<&'a u32> for u32
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impl<'a, 'b> Mul<&'a Wrapping<u128>> for &'b Wrapping<u128>
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impl<'a, 'b> Mul<&'a Wrapping<i32>> for &'b Wrapping<i32>
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impl<'a> Mul<u16> for &'a u16
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impl<'a> Mul<u64> for &'a u64
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impl<'a> Mul<&'a u128> for u128
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impl<'a> Mul<&'a Wrapping<i32>> for Wrapping<i32>
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impl<'a> Mul<&'a Wrapping<u16>> for Wrapping<u16>
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impl<'a, 'b> Mul<&'a Wrapping<u8>> for &'b Wrapping<u8>
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impl Mul<u8> for u8
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impl<'a> Mul<f64> for &'a f64
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impl<'a> Mul<&'a f64> for f64
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impl<'a> Mul<Wrapping<usize>> for &'a Wrapping<usize>
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impl<'a, 'b> Mul<&'a i32> for &'b i32
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impl<'a> Mul<Wrapping<i64>> for &'a Wrapping<i64>
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impl<'a> Mul<i64> for &'a i64
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impl<'a> Mul<&'a i128> for i128
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impl Mul<i128> for i128
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impl<'a> Mul<i128> for &'a i128
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impl<'a, 'b> Mul<&'a Wrapping<i8>> for &'b Wrapping<i8>
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impl Mul<isize> for isize
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impl<'a> Mul<Wrapping<i128>> for &'a Wrapping<i128>
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impl<'a> Mul<&'a u16> for u16
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impl<'a> Mul<&'a f32> for f32
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impl<'a> Mul<Wrapping<u32>> for &'a Wrapping<u32>
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impl<'a> Mul<Wrapping<u128>> for &'a Wrapping<u128>
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impl Mul<Wrapping<i8>> for Wrapping<i8>
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impl<'a> Mul<&'a Wrapping<u8>> for Wrapping<u8>
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impl<'a> Mul<Wrapping<isize>> for &'a Wrapping<isize>
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impl<'a> Mul<&'a Wrapping<u128>> for Wrapping<u128>
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impl<'a> Mul<&'a Wrapping<i128>> for Wrapping<i128>
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impl<'a> Mul<i16> for &'a i16
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impl<'a> Mul<&'a u64> for u64
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Implementors