#[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.
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));
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] });type OutputThe resulting type after applying the * operator.
impl Mul<f32> for f32[src]
impl Mul<f64> for f64[src]
impl Mul<i8> for i8[src]
impl Mul<i16> for i16[src]
impl Mul<i32> for i32[src]
impl Mul<i64> for i64[src]
impl Mul<i128> for i128[src]
impl Mul<isize> for isize[src]
impl Mul<u8> for u8[src]
impl Mul<u16> for u16[src]
impl Mul<u32> for u32[src]
impl Mul<u32> for Duration[src]
impl Mul<u64> for u64[src]
impl Mul<u128> for u128[src]
impl Mul<usize> for usize[src]
impl Mul<Wrapping<i8>> for Wrapping<i8>[src]
impl Mul<Wrapping<i16>> for Wrapping<i16>[src]
impl Mul<Wrapping<i32>> for Wrapping<i32>[src]
impl Mul<Wrapping<i64>> for Wrapping<i64>[src]
impl Mul<Wrapping<i128>> for Wrapping<i128>[src]
impl Mul<Wrapping<isize>> for Wrapping<isize>[src]
impl Mul<Wrapping<u8>> for Wrapping<u8>[src]
impl Mul<Wrapping<u16>> for Wrapping<u16>[src]
impl Mul<Wrapping<u32>> for Wrapping<u32>[src]
impl Mul<Wrapping<u64>> for Wrapping<u64>[src]
impl Mul<Wrapping<u128>> for Wrapping<u128>[src]
impl Mul<Wrapping<usize>> for Wrapping<usize>[src]
impl Mul<Duration> for u32[src]
impl<'_> Mul<&'_ f32> for f32[src]
impl<'_> Mul<&'_ f64> for f64[src]
impl<'_> Mul<&'_ i8> for i8[src]
impl<'_> Mul<&'_ i16> for i16[src]
impl<'_> Mul<&'_ i32> for i32[src]
impl<'_> Mul<&'_ i64> for i64[src]
impl<'_> Mul<&'_ i128> for i128[src]
type Output = <i128 as Mul<i128>>::Outputfn mul(self, other: &i128) -> <i128 as Mul<i128>>::Output[src]
impl<'_> Mul<&'_ isize> for isize[src]
type Output = <isize as Mul<isize>>::Outputfn mul(self, other: &isize) -> <isize as Mul<isize>>::Output[src]
impl<'_> Mul<&'_ u8> for u8[src]
impl<'_> Mul<&'_ u16> for u16[src]
impl<'_> Mul<&'_ u32> for u32[src]
impl<'_> Mul<&'_ u64> for u64[src]
impl<'_> Mul<&'_ u128> for u128[src]
type Output = <u128 as Mul<u128>>::Outputfn mul(self, other: &u128) -> <u128 as Mul<u128>>::Output[src]
impl<'_> Mul<&'_ usize> for usize[src]
type Output = <usize as Mul<usize>>::Outputfn mul(self, other: &usize) -> <usize as Mul<usize>>::Output[src]
impl<'_> Mul<&'_ Wrapping<i8>> for Wrapping<i8>[src]
type Output = <Wrapping<i8> as Mul<Wrapping<i8>>>::Outputfn mul(
self,
other: &Wrapping<i8>
) -> <Wrapping<i8> as Mul<Wrapping<i8>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<i16>> for Wrapping<i16>[src]
type Output = <Wrapping<i16> as Mul<Wrapping<i16>>>::Outputfn mul(
self,
other: &Wrapping<i16>
) -> <Wrapping<i16> as Mul<Wrapping<i16>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<i32>> for Wrapping<i32>[src]
type Output = <Wrapping<i32> as Mul<Wrapping<i32>>>::Outputfn mul(
self,
other: &Wrapping<i32>
) -> <Wrapping<i32> as Mul<Wrapping<i32>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<i64>> for Wrapping<i64>[src]
type Output = <Wrapping<i64> as Mul<Wrapping<i64>>>::Outputfn mul(
self,
other: &Wrapping<i64>
) -> <Wrapping<i64> as Mul<Wrapping<i64>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<i128>> for Wrapping<i128>[src]
type Output = <Wrapping<i128> as Mul<Wrapping<i128>>>::Outputfn mul(
self,
other: &Wrapping<i128>
) -> <Wrapping<i128> as Mul<Wrapping<i128>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<isize>> for Wrapping<isize>[src]
type Output = <Wrapping<isize> as Mul<Wrapping<isize>>>::Outputfn mul(
self,
other: &Wrapping<isize>
) -> <Wrapping<isize> as Mul<Wrapping<isize>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<u8>> for Wrapping<u8>[src]
type Output = <Wrapping<u8> as Mul<Wrapping<u8>>>::Outputfn mul(
self,
other: &Wrapping<u8>
) -> <Wrapping<u8> as Mul<Wrapping<u8>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<u16>> for Wrapping<u16>[src]
type Output = <Wrapping<u16> as Mul<Wrapping<u16>>>::Outputfn mul(
self,
other: &Wrapping<u16>
) -> <Wrapping<u16> as Mul<Wrapping<u16>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<u32>> for Wrapping<u32>[src]
type Output = <Wrapping<u32> as Mul<Wrapping<u32>>>::Outputfn mul(
self,
other: &Wrapping<u32>
) -> <Wrapping<u32> as Mul<Wrapping<u32>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<u64>> for Wrapping<u64>[src]
type Output = <Wrapping<u64> as Mul<Wrapping<u64>>>::Outputfn mul(
self,
other: &Wrapping<u64>
) -> <Wrapping<u64> as Mul<Wrapping<u64>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<u128>> for Wrapping<u128>[src]
type Output = <Wrapping<u128> as Mul<Wrapping<u128>>>::Outputfn mul(
self,
other: &Wrapping<u128>
) -> <Wrapping<u128> as Mul<Wrapping<u128>>>::Output[src]
impl<'_> Mul<&'_ Wrapping<usize>> for Wrapping<usize>[src]
type Output = <Wrapping<usize> as Mul<Wrapping<usize>>>::Outputfn mul(
self,
other: &Wrapping<usize>
) -> <Wrapping<usize> as Mul<Wrapping<usize>>>::Output[src]
impl<'_, '_> Mul<&'_ f32> for &'_ f32[src]
impl<'_, '_> Mul<&'_ f64> for &'_ f64[src]
impl<'_, '_> Mul<&'_ i8> for &'_ i8[src]
impl<'_, '_> Mul<&'_ i16> for &'_ i16[src]
impl<'_, '_> Mul<&'_ i32> for &'_ i32[src]
impl<'_, '_> Mul<&'_ i64> for &'_ i64[src]
impl<'_, '_> Mul<&'_ i128> for &'_ i128[src]
type Output = <i128 as Mul<i128>>::Outputfn mul(self, other: &i128) -> <i128 as Mul<i128>>::Output[src]
impl<'_, '_> Mul<&'_ isize> for &'_ isize[src]
type Output = <isize as Mul<isize>>::Outputfn mul(self, other: &isize) -> <isize as Mul<isize>>::Output[src]
impl<'_, '_> Mul<&'_ u8> for &'_ u8[src]
impl<'_, '_> Mul<&'_ u16> for &'_ u16[src]
impl<'_, '_> Mul<&'_ u32> for &'_ u32[src]
impl<'_, '_> Mul<&'_ u64> for &'_ u64[src]
impl<'_, '_> Mul<&'_ u128> for &'_ u128[src]
type Output = <u128 as Mul<u128>>::Outputfn mul(self, other: &u128) -> <u128 as Mul<u128>>::Output[src]
impl<'_, '_> Mul<&'_ usize> for &'_ usize[src]
type Output = <usize as Mul<usize>>::Outputfn mul(self, other: &usize) -> <usize as Mul<usize>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<i8>> for &'_ Wrapping<i8>[src]
type Output = <Wrapping<i8> as Mul<Wrapping<i8>>>::Outputfn mul(
self,
other: &Wrapping<i8>
) -> <Wrapping<i8> as Mul<Wrapping<i8>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<i16>> for &'_ Wrapping<i16>[src]
type Output = <Wrapping<i16> as Mul<Wrapping<i16>>>::Outputfn mul(
self,
other: &Wrapping<i16>
) -> <Wrapping<i16> as Mul<Wrapping<i16>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<i32>> for &'_ Wrapping<i32>[src]
type Output = <Wrapping<i32> as Mul<Wrapping<i32>>>::Outputfn mul(
self,
other: &Wrapping<i32>
) -> <Wrapping<i32> as Mul<Wrapping<i32>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<i64>> for &'_ Wrapping<i64>[src]
type Output = <Wrapping<i64> as Mul<Wrapping<i64>>>::Outputfn mul(
self,
other: &Wrapping<i64>
) -> <Wrapping<i64> as Mul<Wrapping<i64>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<i128>> for &'_ Wrapping<i128>[src]
type Output = <Wrapping<i128> as Mul<Wrapping<i128>>>::Outputfn mul(
self,
other: &Wrapping<i128>
) -> <Wrapping<i128> as Mul<Wrapping<i128>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<isize>> for &'_ Wrapping<isize>[src]
type Output = <Wrapping<isize> as Mul<Wrapping<isize>>>::Outputfn mul(
self,
other: &Wrapping<isize>
) -> <Wrapping<isize> as Mul<Wrapping<isize>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<u8>> for &'_ Wrapping<u8>[src]
type Output = <Wrapping<u8> as Mul<Wrapping<u8>>>::Outputfn mul(
self,
other: &Wrapping<u8>
) -> <Wrapping<u8> as Mul<Wrapping<u8>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<u16>> for &'_ Wrapping<u16>[src]
type Output = <Wrapping<u16> as Mul<Wrapping<u16>>>::Outputfn mul(
self,
other: &Wrapping<u16>
) -> <Wrapping<u16> as Mul<Wrapping<u16>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<u32>> for &'_ Wrapping<u32>[src]
type Output = <Wrapping<u32> as Mul<Wrapping<u32>>>::Outputfn mul(
self,
other: &Wrapping<u32>
) -> <Wrapping<u32> as Mul<Wrapping<u32>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<u64>> for &'_ Wrapping<u64>[src]
type Output = <Wrapping<u64> as Mul<Wrapping<u64>>>::Outputfn mul(
self,
other: &Wrapping<u64>
) -> <Wrapping<u64> as Mul<Wrapping<u64>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<u128>> for &'_ Wrapping<u128>[src]
type Output = <Wrapping<u128> as Mul<Wrapping<u128>>>::Outputfn mul(
self,
other: &Wrapping<u128>
) -> <Wrapping<u128> as Mul<Wrapping<u128>>>::Output[src]
impl<'_, '_> Mul<&'_ Wrapping<usize>> for &'_ Wrapping<usize>[src]
type Output = <Wrapping<usize> as Mul<Wrapping<usize>>>::Outputfn mul(
self,
other: &Wrapping<usize>
) -> <Wrapping<usize> as Mul<Wrapping<usize>>>::Output[src]
impl<'a> Mul<f32> for &'a f32[src]
impl<'a> Mul<f64> for &'a f64[src]
impl<'a> Mul<i8> for &'a i8[src]
impl<'a> Mul<i16> for &'a i16[src]
impl<'a> Mul<i32> for &'a i32[src]
impl<'a> Mul<i64> for &'a i64[src]
impl<'a> Mul<i128> for &'a i128[src]
type Output = <i128 as Mul<i128>>::Outputfn mul(self, other: i128) -> <i128 as Mul<i128>>::Output[src]
impl<'a> Mul<isize> for &'a isize[src]
type Output = <isize as Mul<isize>>::Outputfn mul(self, other: isize) -> <isize as Mul<isize>>::Output[src]
impl<'a> Mul<u8> for &'a u8[src]
impl<'a> Mul<u16> for &'a u16[src]
impl<'a> Mul<u32> for &'a u32[src]
impl<'a> Mul<u64> for &'a u64[src]
impl<'a> Mul<u128> for &'a u128[src]
type Output = <u128 as Mul<u128>>::Outputfn mul(self, other: u128) -> <u128 as Mul<u128>>::Output[src]
impl<'a> Mul<usize> for &'a usize[src]
type Output = <usize as Mul<usize>>::Outputfn mul(self, other: usize) -> <usize as Mul<usize>>::Output[src]
impl<'a> Mul<Wrapping<i8>> for &'a Wrapping<i8>[src]
type Output = <Wrapping<i8> as Mul<Wrapping<i8>>>::Outputfn mul(self, other: Wrapping<i8>) -> <Wrapping<i8> as Mul<Wrapping<i8>>>::Output[src]
impl<'a> Mul<Wrapping<i16>> for &'a Wrapping<i16>[src]
type Output = <Wrapping<i16> as Mul<Wrapping<i16>>>::Outputfn mul(
self,
other: Wrapping<i16>
) -> <Wrapping<i16> as Mul<Wrapping<i16>>>::Output[src]
impl<'a> Mul<Wrapping<i32>> for &'a Wrapping<i32>[src]
type Output = <Wrapping<i32> as Mul<Wrapping<i32>>>::Outputfn mul(
self,
other: Wrapping<i32>
) -> <Wrapping<i32> as Mul<Wrapping<i32>>>::Output[src]
impl<'a> Mul<Wrapping<i64>> for &'a Wrapping<i64>[src]
type Output = <Wrapping<i64> as Mul<Wrapping<i64>>>::Outputfn mul(
self,
other: Wrapping<i64>
) -> <Wrapping<i64> as Mul<Wrapping<i64>>>::Output[src]
impl<'a> Mul<Wrapping<i128>> for &'a Wrapping<i128>[src]
type Output = <Wrapping<i128> as Mul<Wrapping<i128>>>::Outputfn mul(
self,
other: Wrapping<i128>
) -> <Wrapping<i128> as Mul<Wrapping<i128>>>::Output[src]
impl<'a> Mul<Wrapping<isize>> for &'a Wrapping<isize>[src]
type Output = <Wrapping<isize> as Mul<Wrapping<isize>>>::Outputfn mul(
self,
other: Wrapping<isize>
) -> <Wrapping<isize> as Mul<Wrapping<isize>>>::Output[src]
impl<'a> Mul<Wrapping<u8>> for &'a Wrapping<u8>[src]
type Output = <Wrapping<u8> as Mul<Wrapping<u8>>>::Outputfn mul(self, other: Wrapping<u8>) -> <Wrapping<u8> as Mul<Wrapping<u8>>>::Output[src]
impl<'a> Mul<Wrapping<u16>> for &'a Wrapping<u16>[src]
type Output = <Wrapping<u16> as Mul<Wrapping<u16>>>::Outputfn mul(
self,
other: Wrapping<u16>
) -> <Wrapping<u16> as Mul<Wrapping<u16>>>::Output[src]
impl<'a> Mul<Wrapping<u32>> for &'a Wrapping<u32>[src]
type Output = <Wrapping<u32> as Mul<Wrapping<u32>>>::Outputfn mul(
self,
other: Wrapping<u32>
) -> <Wrapping<u32> as Mul<Wrapping<u32>>>::Output[src]
impl<'a> Mul<Wrapping<u64>> for &'a Wrapping<u64>[src]
type Output = <Wrapping<u64> as Mul<Wrapping<u64>>>::Outputfn mul(
self,
other: Wrapping<u64>
) -> <Wrapping<u64> as Mul<Wrapping<u64>>>::Output[src]
impl<'a> Mul<Wrapping<u128>> for &'a Wrapping<u128>[src]
type Output = <Wrapping<u128> as Mul<Wrapping<u128>>>::Outputfn mul(
self,
other: Wrapping<u128>
) -> <Wrapping<u128> as Mul<Wrapping<u128>>>::Output[src]
impl<'a> Mul<Wrapping<usize>> for &'a Wrapping<usize>[src]
© 2010 The Rust Project Developers
Licensed under the Apache License, Version 2.0 or the MIT license, at your option.
https://doc.rust-lang.org/std/ops/trait.Mul.html