Trait dorset::operations::div::Div 1.0.0
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#[lang = "div"]pub trait Div<RHS = Self> { type Output; fn div(self, rhs: RHS) -> Self::Output; }
The division operator /
.
Note that RHS
is Self
by default, but this is not mandatory.
Examples
Div
idable rational numbers
use std::ops::Div; // 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 Div for Rational { // The division of rational numbers is a closed operation. type Output = Self; fn div(self, rhs: Self) -> Self { if rhs.nominator == 0 { panic!("Cannot divide by zero-valued `Rational`!"); } let nominator = self.nominator * rhs.denominator; let denominator = self.denominator * rhs.nominator; 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(1, 2) / Rational::new(3, 4), Rational::new(2, 3));
Dividing vectors by scalars as in linear algebra
use std::ops::Div; struct Scalar { value: f32 } #[derive(Debug, PartialEq)] struct Vector { value: Vec<f32> } impl Div<Scalar> for Vector { type Output = Vector; fn div(self, rhs: Scalar) -> Vector { Vector { value: self.value.iter().map(|v| v / rhs.value).collect() } } } let scalar = Scalar { value: 2f32 }; let vector = Vector { value: vec![2f32, 4f32, 6f32] }; assert_eq!(vector / scalar, Vector { value: vec![1f32, 2f32, 3f32] });
Associated Types
type Output
The resulting type after applying the /
operator.
Required Methods
Implementations on Foreign Types
impl Div<u128> for u128
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl<'a, 'b> Div<&'a i32> for &'b i32
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impl<'a> Div<u32> for &'a u32
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impl<'a, 'b> Div<&'a Wrapping<u32>> for &'b Wrapping<u32>
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impl<'a> Div<&'a Wrapping<u128>> for Wrapping<u128>
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impl Div<i16> for i16
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl<'a> Div<&'a Wrapping<i8>> for Wrapping<i8>
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impl<'a> Div<&'a Wrapping<usize>> for Wrapping<usize>
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impl<'a> Div<&'a usize> for usize
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impl Div<Wrapping<i8>> for Wrapping<i8>
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impl Div<Wrapping<u16>> for Wrapping<u16>
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impl<'a> Div<i64> for &'a i64
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impl<'a> Div<Wrapping<u64>> for &'a Wrapping<u64>
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impl<'a> Div<u64> for &'a u64
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impl<'a> Div<&'a Wrapping<i64>> for Wrapping<i64>
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impl<'a> Div<Wrapping<u32>> for &'a Wrapping<u32>
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impl Div<Wrapping<i128>> for Wrapping<i128>
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impl Div<Wrapping<i16>> for Wrapping<i16>
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impl<'a> Div<&'a Wrapping<u64>> for Wrapping<u64>
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impl<'a> Div<&'a Wrapping<i32>> for Wrapping<i32>
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impl<'a, 'b> Div<&'a f32> for &'b f32
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impl<'a> Div<Wrapping<i16>> for &'a Wrapping<i16>
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impl Div<i128> for i128
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl<'a, 'b> Div<&'a usize> for &'b usize
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impl<'a> Div<Wrapping<u16>> for &'a Wrapping<u16>
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impl<'a, 'b> Div<&'a Wrapping<usize>> for &'b Wrapping<usize>
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impl<'a> Div<&'a u16> for u16
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impl Div<isize> for isize
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl<'a, 'b> Div<&'a Wrapping<u8>> for &'b Wrapping<u8>
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impl Div<u8> for u8
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl<'a> Div<&'a Wrapping<isize>> for Wrapping<isize>
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impl<'a> Div<Wrapping<i32>> for &'a Wrapping<i32>
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impl<'a, 'b> Div<&'a Wrapping<i128>> for &'b Wrapping<i128>
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impl<'a, 'b> Div<&'a i128> for &'b i128
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impl Div<u16> for u16
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl Div<Wrapping<i64>> for Wrapping<i64>
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impl<'a, 'b> Div<&'a Wrapping<i16>> for &'b Wrapping<i16>
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impl Div<i8> for i8
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl Div<Wrapping<u64>> for Wrapping<u64>
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impl<'a, 'b> Div<&'a u16> for &'b u16
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impl Div<f64> for f64
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impl<'a> Div<i16> for &'a i16
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impl<'a> Div<&'a i32> for i32
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impl<'a, 'b> Div<&'a Wrapping<u128>> for &'b Wrapping<u128>
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impl<'a> Div<i32> for &'a i32
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impl<'a, 'b> Div<&'a Wrapping<i32>> for &'b Wrapping<i32>
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impl Div<i64> for i64
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl<'a> Div<&'a u128> for u128
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impl<'a> Div<u128> for &'a u128
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impl<'a, 'b> Div<&'a f64> for &'b f64
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impl<'a> Div<&'a u32> for u32
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impl<'a> Div<u8> for &'a u8
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impl<'a, 'b> Div<&'a u128> for &'b u128
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impl<'a> Div<&'a Wrapping<u16>> for Wrapping<u16>
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impl<'a, 'b> Div<&'a Wrapping<isize>> for &'b Wrapping<isize>
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impl<'a> Div<i8> for &'a i8
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impl<'a, 'b> Div<&'a i16> for &'b i16
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impl<'a> Div<u16> for &'a u16
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impl<'a> Div<&'a u8> for u8
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impl<'a> Div<&'a i64> for i64
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impl<'a, 'b> Div<&'a u8> for &'b u8
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impl<'a, 'b> Div<&'a Wrapping<u16>> for &'b Wrapping<u16>
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impl Div<Wrapping<i32>> for Wrapping<i32>
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impl<'a> Div<&'a isize> for isize
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impl<'a> Div<&'a i16> for i16
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impl<'a, 'b> Div<&'a Wrapping<u64>> for &'b Wrapping<u64>
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impl<'a> Div<Wrapping<u128>> for &'a Wrapping<u128>
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impl<'a, 'b> Div<&'a isize> for &'b isize
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impl<'a> Div<&'a Wrapping<i16>> for Wrapping<i16>
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impl Div<u32> for Duration
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impl Div<Wrapping<u8>> for Wrapping<u8>
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impl Div<f32> for f32
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impl<'a> Div<Wrapping<i64>> for &'a Wrapping<i64>
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impl<'a, 'b> Div<&'a Wrapping<i64>> for &'b Wrapping<i64>
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impl<'a> Div<&'a Wrapping<i128>> for Wrapping<i128>
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impl<'a> Div<&'a f64> for f64
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impl<'a, 'b> Div<&'a i64> for &'b i64
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impl Div<Wrapping<isize>> for Wrapping<isize>
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impl<'a, 'b> Div<&'a Wrapping<i8>> for &'b Wrapping<i8>
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impl<'a> Div<&'a f32> for f32
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impl<'a> Div<Wrapping<u8>> for &'a Wrapping<u8>
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impl Div<Wrapping<u128>> for Wrapping<u128>
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impl<'a> Div<&'a Wrapping<u8>> for Wrapping<u8>
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impl<'a> Div<&'a u64> for u64
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impl<'a, 'b> Div<&'a u64> for &'b u64
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impl<'a> Div<&'a i8> for i8
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impl Div<usize> for usize
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl Div<u32> for u32
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl<'a> Div<Wrapping<usize>> for &'a Wrapping<usize>
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impl<'a> Div<Wrapping<isize>> for &'a Wrapping<isize>
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impl<'a> Div<f64> for &'a f64
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impl<'a> Div<f32> for &'a f32
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impl<'a> Div<Wrapping<i128>> for &'a Wrapping<i128>
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impl<'a, 'b> Div<&'a u32> for &'b u32
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impl Div<i32> for i32
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This operation rounds towards zero, truncating any fractional part of the exact result.
impl<'a> Div<Wrapping<i8>> for &'a Wrapping<i8>
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impl<'a> Div<&'a i128> for i128
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impl<'a> Div<i128> for &'a i128
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impl Div<Wrapping<usize>> for Wrapping<usize>
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impl<'a> Div<isize> for &'a isize
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impl<'a, 'b> Div<&'a i8> for &'b i8
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impl<'a> Div<&'a Wrapping<u32>> for Wrapping<u32>
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impl<'a> Div<usize> for &'a usize
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impl Div<Wrapping<u32>> for Wrapping<u32>
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impl Div<u64> for u64
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This operation rounds towards zero, truncating any fractional part of the exact result.
Implementors
impl<'a, 'b> Div<&'a Real> for &'b Var type Output = Var;
impl<'a> Div<&'a Real> for Var type Output = Var;
impl<'b> Div<Real> for &'b Var type Output = Var;
impl Div<Real> for Var type Output = Var;
impl<'a, 'b> Div<&'a Var> for &'b Real type Output = Var;
impl<'a> Div<&'a Var> for Real type Output = Var;
impl Div<Var> for Real type Output = Var;
impl<'a, 'b> Div<&'a Var> for &'b Var type Output = Var;
impl<'b> Div<Var> for &'b Var type Output = Var;
impl<'a> Div<&'a Var> for Var type Output = Var;
impl Div<Var> for Var type Output = Var;