Trait Div

pub trait Div<Rhs = Self> {
    type Output;

    // Required method
    fn div(self, rhs: Rhs) -> Self::Output;
}

The division operator /.

Note that Rhs is Self by default, but this is not mandatory.

Examples

Dividable 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 {
    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);
        Self {
            numerator: numerator / 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::Output {
        if rhs.numerator == 0 {
            panic!("Cannot divide by zero-valued `Rational`!");
        }

        let numerator = self.numerator * rhs.denominator;
        let denominator = self.denominator * rhs.numerator;
        Self::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(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 = Self;

    fn div(self, rhs: Scalar) -> Self::Output {
        Self { 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] });

Required Associated Types

type Output

The resulting type after applying the / operator.

Required Methods

fn div(self, rhs: Rhs) -> Self::Output

Performs the / operation.

Example

assert_eq!(12 / 2, 6);

Implementors

impl Div for f16

type Output = f16

impl Div for f32

type Output = f32

impl Div for f64

type Output = f64

impl Div for f128

type Output = f128

impl Div for i8

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0 or the division results in overflow.

type Output = i8

impl Div for i16

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0 or the division results in overflow.

type Output = i16

impl Div for i32

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0 or the division results in overflow.

type Output = i32

impl Div for i64

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0 or the division results in overflow.

type Output = i64

impl Div for i128

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0 or the division results in overflow.

type Output = i128

impl Div for isize

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0 or the division results in overflow.

type Output = isize

impl Div for u8

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0.

type Output = u8

impl Div for u16

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0.

type Output = u16

impl Div for u32

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0.

type Output = u32

impl Div for u64

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0.

type Output = u64

impl Div for u128

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0.

type Output = u128

impl Div for usize

This operation rounds towards zero, truncating any fractional part of the exact result.

Panics

This operation will panic if other == 0.

type Output = usize

impl Div for Saturating<i8>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2i8), Saturating(5i8) / Saturating(2));
assert_eq!(Saturating(i8::MAX), Saturating(i8::MAX) / Saturating(1));
assert_eq!(Saturating(i8::MIN), Saturating(i8::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0i8) / Saturating(0);

type Output = Saturating<i8>

impl Div for Saturating<i16>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2i16), Saturating(5i16) / Saturating(2));
assert_eq!(Saturating(i16::MAX), Saturating(i16::MAX) / Saturating(1));
assert_eq!(Saturating(i16::MIN), Saturating(i16::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0i16) / Saturating(0);

type Output = Saturating<i16>

impl Div for Saturating<i32>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2i32), Saturating(5i32) / Saturating(2));
assert_eq!(Saturating(i32::MAX), Saturating(i32::MAX) / Saturating(1));
assert_eq!(Saturating(i32::MIN), Saturating(i32::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0i32) / Saturating(0);

type Output = Saturating<i32>

impl Div for Saturating<i64>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2i64), Saturating(5i64) / Saturating(2));
assert_eq!(Saturating(i64::MAX), Saturating(i64::MAX) / Saturating(1));
assert_eq!(Saturating(i64::MIN), Saturating(i64::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0i64) / Saturating(0);

type Output = Saturating<i64>

impl Div for Saturating<i128>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2i128), Saturating(5i128) / Saturating(2));
assert_eq!(Saturating(i128::MAX), Saturating(i128::MAX) / Saturating(1));
assert_eq!(Saturating(i128::MIN), Saturating(i128::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0i128) / Saturating(0);

type Output = Saturating<i128>

impl Div for Saturating<isize>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2isize), Saturating(5isize) / Saturating(2));
assert_eq!(Saturating(isize::MAX), Saturating(isize::MAX) / Saturating(1));
assert_eq!(Saturating(isize::MIN), Saturating(isize::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0isize) / Saturating(0);

type Output = Saturating<isize>

impl Div for Saturating<u8>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2u8), Saturating(5u8) / Saturating(2));
assert_eq!(Saturating(u8::MAX), Saturating(u8::MAX) / Saturating(1));
assert_eq!(Saturating(u8::MIN), Saturating(u8::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0u8) / Saturating(0);

type Output = Saturating<u8>

impl Div for Saturating<u16>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2u16), Saturating(5u16) / Saturating(2));
assert_eq!(Saturating(u16::MAX), Saturating(u16::MAX) / Saturating(1));
assert_eq!(Saturating(u16::MIN), Saturating(u16::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0u16) / Saturating(0);

type Output = Saturating<u16>

impl Div for Saturating<u32>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2u32), Saturating(5u32) / Saturating(2));
assert_eq!(Saturating(u32::MAX), Saturating(u32::MAX) / Saturating(1));
assert_eq!(Saturating(u32::MIN), Saturating(u32::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0u32) / Saturating(0);

type Output = Saturating<u32>

impl Div for Saturating<u64>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2u64), Saturating(5u64) / Saturating(2));
assert_eq!(Saturating(u64::MAX), Saturating(u64::MAX) / Saturating(1));
assert_eq!(Saturating(u64::MIN), Saturating(u64::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0u64) / Saturating(0);

type Output = Saturating<u64>

impl Div for Saturating<u128>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2u128), Saturating(5u128) / Saturating(2));
assert_eq!(Saturating(u128::MAX), Saturating(u128::MAX) / Saturating(1));
assert_eq!(Saturating(u128::MIN), Saturating(u128::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0u128) / Saturating(0);

type Output = Saturating<u128>

impl Div for Saturating<usize>

Examples

Basic usage:

use std::num::Saturating;

assert_eq!(Saturating(2usize), Saturating(5usize) / Saturating(2));
assert_eq!(Saturating(usize::MAX), Saturating(usize::MAX) / Saturating(1));
assert_eq!(Saturating(usize::MIN), Saturating(usize::MIN) / Saturating(1));

use std::num::Saturating;

let _ = Saturating(0usize) / Saturating(0);

type Output = Saturating<usize>

impl Div for cairo_vm::with_std::num::Wrapping<i8>

type Output = Wrapping<i8>

impl Div for cairo_vm::with_std::num::Wrapping<i16>

type Output = Wrapping<i16>

impl Div for cairo_vm::with_std::num::Wrapping<i32>

type Output = Wrapping<i32>

impl Div for cairo_vm::with_std::num::Wrapping<i64>

type Output = Wrapping<i64>

impl Div for cairo_vm::with_std::num::Wrapping<i128>

type Output = Wrapping<i128>

impl Div for cairo_vm::with_std::num::Wrapping<isize>

type Output = Wrapping<isize>

impl Div for cairo_vm::with_std::num::Wrapping<u8>

type Output = Wrapping<u8>

impl Div for cairo_vm::with_std::num::Wrapping<u16>

type Output = Wrapping<u16>

impl Div for cairo_vm::with_std::num::Wrapping<u32>

type Output = Wrapping<u32>

impl Div for cairo_vm::with_std::num::Wrapping<u64>

type Output = Wrapping<u64>

impl Div for cairo_vm::with_std::num::Wrapping<u128>

type Output = Wrapping<u128>

impl Div for cairo_vm::with_std::num::Wrapping<usize>

type Output = Wrapping<usize>

impl Div for BigInt

type Output = BigInt

impl Div for BigUint

type Output = BigUint

impl Div for Decimal

type Output = Decimal

impl Div<&f16> for &f16

type Output = <f16 as Div>::Output

impl Div<&f16> for f16

type Output = <f16 as Div>::Output

impl Div<&f32> for &f32

type Output = <f32 as Div>::Output

impl Div<&f32> for f32

type Output = <f32 as Div>::Output

impl Div<&f64> for &f64

type Output = <f64 as Div>::Output

impl Div<&f64> for f64

type Output = <f64 as Div>::Output

impl Div<&f128> for &f128

type Output = <f128 as Div>::Output

impl Div<&f128> for f128

type Output = <f128 as Div>::Output

impl Div<&i8> for &i8

type Output = <i8 as Div>::Output

impl Div<&i8> for &BigInt

type Output = BigInt

impl Div<&i8> for i8

type Output = <i8 as Div>::Output

impl Div<&i8> for BigInt

type Output = BigInt

impl Div<&i16> for &i16

type Output = <i16 as Div>::Output

impl Div<&i16> for &BigInt

type Output = BigInt

impl Div<&i16> for i16

type Output = <i16 as Div>::Output

impl Div<&i16> for BigInt

type Output = BigInt

impl Div<&i32> for &i32

type Output = <i32 as Div>::Output

impl Div<&i32> for &BigInt

type Output = BigInt

impl Div<&i32> for i32

type Output = <i32 as Div>::Output

impl Div<&i32> for BigInt

type Output = BigInt

impl Div<&i64> for &i64

type Output = <i64 as Div>::Output

impl Div<&i64> for &BigInt

type Output = BigInt

impl Div<&i64> for i64

type Output = <i64 as Div>::Output

impl Div<&i64> for BigInt

type Output = BigInt

impl Div<&i128> for &i128

type Output = <i128 as Div>::Output

impl Div<&i128> for &BigInt

type Output = BigInt

impl Div<&i128> for i128

type Output = <i128 as Div>::Output

impl Div<&i128> for BigInt

type Output = BigInt

impl Div<&isize> for &isize

type Output = <isize as Div>::Output

impl Div<&isize> for &BigInt

type Output = BigInt

impl Div<&isize> for isize

type Output = <isize as Div>::Output

impl Div<&isize> for BigInt

type Output = BigInt

impl Div<&u8> for &u8

type Output = <u8 as Div>::Output

impl Div<&u8> for &BigInt

type Output = BigInt

impl Div<&u8> for &BigUint

type Output = BigUint

impl Div<&u8> for u8

type Output = <u8 as Div>::Output

impl Div<&u8> for BigInt

type Output = BigInt

impl Div<&u8> for BigUint

type Output = BigUint

impl Div<&u16> for &u16

type Output = <u16 as Div>::Output

impl Div<&u16> for &BigInt

type Output = BigInt

impl Div<&u16> for &BigUint

type Output = BigUint

impl Div<&u16> for u16

type Output = <u16 as Div>::Output

impl Div<&u16> for BigInt

type Output = BigInt

impl Div<&u16> for BigUint

type Output = BigUint

impl Div<&u32> for &u32

type Output = <u32 as Div>::Output

impl Div<&u32> for &BigInt

type Output = BigInt

impl Div<&u32> for &BigUint

type Output = BigUint

impl Div<&u32> for u32

type Output = <u32 as Div>::Output

impl Div<&u32> for BigInt

type Output = BigInt

impl Div<&u32> for BigUint

type Output = BigUint

impl Div<&u64> for &u64

type Output = <u64 as Div>::Output

impl Div<&u64> for &BigInt

type Output = BigInt

impl Div<&u64> for &BigUint

type Output = BigUint

impl Div<&u64> for u64

type Output = <u64 as Div>::Output

impl Div<&u64> for BigInt

type Output = BigInt

impl Div<&u64> for BigUint

type Output = BigUint

impl Div<&u128> for &u128

type Output = <u128 as Div>::Output

impl Div<&u128> for &BigInt

type Output = BigInt

impl Div<&u128> for &BigUint

type Output = BigUint

impl Div<&u128> for u128

type Output = <u128 as Div>::Output

impl Div<&u128> for BigInt

type Output = BigInt

impl Div<&u128> for BigUint

type Output = BigUint

impl Div<&usize> for &usize

type Output = <usize as Div>::Output

impl Div<&usize> for &BigInt

type Output = BigInt

impl Div<&usize> for &BigUint

type Output = BigUint

impl Div<&usize> for usize

type Output = <usize as Div>::Output

impl Div<&usize> for BigInt

type Output = BigInt

impl Div<&usize> for BigUint

type Output = BigUint

impl Div<&Saturating<i8>> for &Saturating<i8>

type Output = <Saturating<i8> as Div>::Output

impl Div<&Saturating<i8>> for Saturating<i8>

type Output = <Saturating<i8> as Div>::Output

impl Div<&Saturating<i16>> for &Saturating<i16>

type Output = <Saturating<i16> as Div>::Output

impl Div<&Saturating<i16>> for Saturating<i16>

type Output = <Saturating<i16> as Div>::Output

impl Div<&Saturating<i32>> for &Saturating<i32>

type Output = <Saturating<i32> as Div>::Output

impl Div<&Saturating<i32>> for Saturating<i32>

type Output = <Saturating<i32> as Div>::Output

impl Div<&Saturating<i64>> for &Saturating<i64>

type Output = <Saturating<i64> as Div>::Output

impl Div<&Saturating<i64>> for Saturating<i64>

type Output = <Saturating<i64> as Div>::Output

impl Div<&Saturating<i128>> for &Saturating<i128>

type Output = <Saturating<i128> as Div>::Output

impl Div<&Saturating<i128>> for Saturating<i128>

type Output = <Saturating<i128> as Div>::Output

impl Div<&Saturating<isize>> for &Saturating<isize>

type Output = <Saturating<isize> as Div>::Output

impl Div<&Saturating<isize>> for Saturating<isize>

type Output = <Saturating<isize> as Div>::Output

impl Div<&Saturating<u8>> for &Saturating<u8>

type Output = <Saturating<u8> as Div>::Output

impl Div<&Saturating<u8>> for Saturating<u8>

type Output = <Saturating<u8> as Div>::Output

impl Div<&Saturating<u16>> for &Saturating<u16>

type Output = <Saturating<u16> as Div>::Output

impl Div<&Saturating<u16>> for Saturating<u16>

type Output = <Saturating<u16> as Div>::Output

impl Div<&Saturating<u32>> for &Saturating<u32>

type Output = <Saturating<u32> as Div>::Output

impl Div<&Saturating<u32>> for Saturating<u32>

type Output = <Saturating<u32> as Div>::Output

impl Div<&Saturating<u64>> for &Saturating<u64>

type Output = <Saturating<u64> as Div>::Output

impl Div<&Saturating<u64>> for Saturating<u64>

type Output = <Saturating<u64> as Div>::Output

impl Div<&Saturating<u128>> for &Saturating<u128>

type Output = <Saturating<u128> as Div>::Output

impl Div<&Saturating<u128>> for Saturating<u128>

type Output = <Saturating<u128> as Div>::Output

impl Div<&Saturating<usize>> for &Saturating<usize>

type Output = <Saturating<usize> as Div>::Output

impl Div<&Saturating<usize>> for Saturating<usize>

type Output = <Saturating<usize> as Div>::Output

impl Div<&Wrapping<i8>> for &cairo_vm::with_std::num::Wrapping<i8>

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

impl Div<&Wrapping<i8>> for cairo_vm::with_std::num::Wrapping<i8>

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

impl Div<&Wrapping<i16>> for &cairo_vm::with_std::num::Wrapping<i16>

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

impl Div<&Wrapping<i16>> for cairo_vm::with_std::num::Wrapping<i16>

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

impl Div<&Wrapping<i32>> for &cairo_vm::with_std::num::Wrapping<i32>

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

impl Div<&Wrapping<i32>> for cairo_vm::with_std::num::Wrapping<i32>

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

impl Div<&Wrapping<i64>> for &cairo_vm::with_std::num::Wrapping<i64>

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

impl Div<&Wrapping<i64>> for cairo_vm::with_std::num::Wrapping<i64>

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

impl Div<&Wrapping<i128>> for &cairo_vm::with_std::num::Wrapping<i128>

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

impl Div<&Wrapping<i128>> for cairo_vm::with_std::num::Wrapping<i128>

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

impl Div<&Wrapping<isize>> for &cairo_vm::with_std::num::Wrapping<isize>

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

impl Div<&Wrapping<isize>> for cairo_vm::with_std::num::Wrapping<isize>

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

impl Div<&Wrapping<u8>> for &cairo_vm::with_std::num::Wrapping<u8>

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

impl Div<&Wrapping<u8>> for cairo_vm::with_std::num::Wrapping<u8>

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

impl Div<&Wrapping<u16>> for &cairo_vm::with_std::num::Wrapping<u16>

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

impl Div<&Wrapping<u16>> for cairo_vm::with_std::num::Wrapping<u16>

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

impl Div<&Wrapping<u32>> for &cairo_vm::with_std::num::Wrapping<u32>

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

impl Div<&Wrapping<u32>> for cairo_vm::with_std::num::Wrapping<u32>

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

impl Div<&Wrapping<u64>> for &cairo_vm::with_std::num::Wrapping<u64>

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

impl Div<&Wrapping<u64>> for cairo_vm::with_std::num::Wrapping<u64>

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

impl Div<&Wrapping<u128>> for &cairo_vm::with_std::num::Wrapping<u128>

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

impl Div<&Wrapping<u128>> for cairo_vm::with_std::num::Wrapping<u128>

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

impl Div<&Wrapping<usize>> for &cairo_vm::with_std::num::Wrapping<usize>

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

impl Div<&Wrapping<usize>> for cairo_vm::with_std::num::Wrapping<usize>

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

impl Div<&BigInt> for &i8

type Output = BigInt

impl Div<&BigInt> for &i16

type Output = BigInt

impl Div<&BigInt> for &i32

type Output = BigInt

impl Div<&BigInt> for &i64

type Output = BigInt

impl Div<&BigInt> for &i128

type Output = BigInt

impl Div<&BigInt> for &isize

type Output = BigInt

impl Div<&BigInt> for &u8

type Output = BigInt

impl Div<&BigInt> for &u16

type Output = BigInt

impl Div<&BigInt> for &u32

type Output = BigInt

impl Div<&BigInt> for &u64

type Output = BigInt

impl Div<&BigInt> for &u128

type Output = BigInt

impl Div<&BigInt> for &usize

type Output = BigInt

impl Div<&BigInt> for &BigInt

type Output = BigInt

impl Div<&BigInt> for i8

type Output = BigInt

impl Div<&BigInt> for i16

type Output = BigInt

impl Div<&BigInt> for i32

type Output = BigInt

impl Div<&BigInt> for i64

type Output = BigInt

impl Div<&BigInt> for i128

type Output = BigInt

impl Div<&BigInt> for isize

type Output = BigInt

impl Div<&BigInt> for u8

type Output = BigInt

impl Div<&BigInt> for u16

type Output = BigInt

impl Div<&BigInt> for u32

type Output = BigInt

impl Div<&BigInt> for u64

type Output = BigInt

impl Div<&BigInt> for u128

type Output = BigInt

impl Div<&BigInt> for usize

type Output = BigInt

impl Div<&BigInt> for BigInt

type Output = BigInt

impl Div<&BigUint> for &u8

type Output = BigUint

impl Div<&BigUint> for &u16

type Output = BigUint

impl Div<&BigUint> for &u32

type Output = BigUint

impl Div<&BigUint> for &u64

type Output = BigUint

impl Div<&BigUint> for &u128

type Output = BigUint

impl Div<&BigUint> for &usize

type Output = BigUint

impl Div<&BigUint> for &BigUint

type Output = BigUint

impl Div<&BigUint> for u8

type Output = BigUint

impl Div<&BigUint> for u16

type Output = BigUint

impl Div<&BigUint> for u32

type Output = BigUint

impl Div<&BigUint> for u64

type Output = BigUint

impl Div<&BigUint> for u128

type Output = BigUint

impl Div<&BigUint> for usize

type Output = BigUint

impl Div<&BigUint> for BigUint

type Output = BigUint

impl Div<i8> for &BigInt

type Output = BigInt

impl Div<i8> for BigInt

type Output = BigInt

impl Div<i16> for &BigInt

type Output = BigInt

impl Div<i16> for BigInt

type Output = BigInt

impl Div<i32> for &BigInt

type Output = BigInt

impl Div<i32> for BigInt

type Output = BigInt

impl Div<i64> for &BigInt

type Output = BigInt

impl Div<i64> for BigInt

type Output = BigInt

impl Div<i128> for &BigInt

type Output = BigInt

impl Div<i128> for BigInt

type Output = BigInt

impl Div<isize> for &BigInt

type Output = BigInt

impl Div<isize> for BigInt

type Output = BigInt

impl Div<u8> for &BigInt

type Output = BigInt

impl Div<u8> for &BigUint

type Output = BigUint

impl Div<u8> for BigInt

type Output = BigInt

impl Div<u8> for BigUint

type Output = BigUint

impl Div<u16> for &BigInt

type Output = BigInt

impl Div<u16> for &BigUint

type Output = BigUint

impl Div<u16> for BigInt

type Output = BigInt

impl Div<u16> for BigUint

type Output = BigUint

impl Div<u32> for &BigInt

type Output = BigInt

impl Div<u32> for &BigUint

type Output = BigUint

impl Div<u32> for Duration

type Output = Duration

impl Div<u32> for BigInt

type Output = BigInt

impl Div<u32> for BigUint

type Output = BigUint

impl Div<u64> for &BigInt

type Output = BigInt

impl Div<u64> for &BigUint

type Output = BigUint

impl Div<u64> for BigInt

type Output = BigInt

impl Div<u64> for BigUint

type Output = BigUint

impl Div<u128> for &BigInt

type Output = BigInt

impl Div<u128> for &BigUint

type Output = BigUint

impl Div<u128> for BigInt

type Output = BigInt

impl Div<u128> for BigUint

type Output = BigUint

impl Div<u128> for udouble

type Output = udouble

impl Div<usize> for &BigInt

type Output = BigInt

impl Div<usize> for &BigUint

type Output = BigUint

impl Div<usize> for BigInt

type Output = BigInt

impl Div<usize> for BigUint

type Output = BigUint

impl Div<NonZero<u8>> for u8

type Output = u8

impl Div<NonZero<u16>> for u16

type Output = u16

impl Div<NonZero<u32>> for u32

type Output = u32

impl Div<NonZero<u64>> for u64

type Output = u64

impl Div<NonZero<u128>> for u128

type Output = u128

impl Div<NonZero<usize>> for usize

type Output = usize

impl Div<BigInt> for &i8

type Output = BigInt

impl Div<BigInt> for &i16

type Output = BigInt

impl Div<BigInt> for &i32

type Output = BigInt

impl Div<BigInt> for &i64

type Output = BigInt

impl Div<BigInt> for &i128

type Output = BigInt

impl Div<BigInt> for &isize

type Output = BigInt

impl Div<BigInt> for &u8

type Output = BigInt

impl Div<BigInt> for &u16

type Output = BigInt

impl Div<BigInt> for &u32

type Output = BigInt

impl Div<BigInt> for &u64

type Output = BigInt

impl Div<BigInt> for &u128

type Output = BigInt

impl Div<BigInt> for &usize

type Output = BigInt

impl Div<BigInt> for &BigInt

type Output = BigInt

impl Div<BigInt> for i8

type Output = BigInt

impl Div<BigInt> for i16

type Output = BigInt

impl Div<BigInt> for i32

type Output = BigInt

impl Div<BigInt> for i64

type Output = BigInt

impl Div<BigInt> for i128

type Output = BigInt

impl Div<BigInt> for isize

type Output = BigInt

impl Div<BigInt> for u8

type Output = BigInt

impl Div<BigInt> for u16

type Output = BigInt

impl Div<BigInt> for u32

type Output = BigInt

impl Div<BigInt> for u64

type Output = BigInt

impl Div<BigInt> for u128

type Output = BigInt

impl Div<BigInt> for usize

type Output = BigInt

impl Div<BigUint> for &u8

type Output = BigUint

impl Div<BigUint> for &u16

type Output = BigUint

impl Div<BigUint> for &u32

type Output = BigUint

impl Div<BigUint> for &u64

type Output = BigUint

impl Div<BigUint> for &u128

type Output = BigUint

impl Div<BigUint> for &usize

type Output = BigUint

impl Div<BigUint> for &BigUint

type Output = BigUint

impl Div<BigUint> for u8

type Output = BigUint

impl Div<BigUint> for u16

type Output = BigUint

impl Div<BigUint> for u32

type Output = BigUint

impl Div<BigUint> for u64

type Output = BigUint

impl Div<BigUint> for u128

type Output = BigUint

impl Div<BigUint> for usize

type Output = BigUint

impl<'a> Div<&'a Decimal> for Decimal

type Output = Decimal

impl<'a> Div<f16> for &'a f16

type Output = <f16 as Div>::Output

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

type Output = <f32 as Div>::Output

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

type Output = <f64 as Div>::Output

impl<'a> Div<f128> for &'a f128

type Output = <f128 as Div>::Output

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

type Output = <i8 as Div>::Output

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

type Output = <i16 as Div>::Output

impl<'a> Div<i32> for &'a i32

type Output = <i32 as Div>::Output

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

type Output = <i64 as Div>::Output

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

type Output = <i128 as Div>::Output

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

type Output = <isize as Div>::Output

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

type Output = <u8 as Div>::Output

impl<'a> Div<u16> for &'a u16

type Output = <u16 as Div>::Output

impl<'a> Div<u32> for &'a u32

type Output = <u32 as Div>::Output

impl<'a> Div<u64> for &'a u64

type Output = <u64 as Div>::Output

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

type Output = <u128 as Div>::Output

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

type Output = <usize as Div>::Output

impl<'a> Div<Saturating<i8>> for &'a Saturating<i8>

type Output = <Saturating<i8> as Div>::Output

impl<'a> Div<Saturating<i16>> for &'a Saturating<i16>

type Output = <Saturating<i16> as Div>::Output

impl<'a> Div<Saturating<i32>> for &'a Saturating<i32>

type Output = <Saturating<i32> as Div>::Output

impl<'a> Div<Saturating<i64>> for &'a Saturating<i64>

type Output = <Saturating<i64> as Div>::Output

impl<'a> Div<Saturating<i128>> for &'a Saturating<i128>

type Output = <Saturating<i128> as Div>::Output

impl<'a> Div<Saturating<isize>> for &'a Saturating<isize>

type Output = <Saturating<isize> as Div>::Output

impl<'a> Div<Saturating<u8>> for &'a Saturating<u8>

type Output = <Saturating<u8> as Div>::Output

impl<'a> Div<Saturating<u16>> for &'a Saturating<u16>

type Output = <Saturating<u16> as Div>::Output

impl<'a> Div<Saturating<u32>> for &'a Saturating<u32>

type Output = <Saturating<u32> as Div>::Output

impl<'a> Div<Saturating<u64>> for &'a Saturating<u64>

type Output = <Saturating<u64> as Div>::Output

impl<'a> Div<Saturating<u128>> for &'a Saturating<u128>

type Output = <Saturating<u128> as Div>::Output

impl<'a> Div<Saturating<usize>> for &'a Saturating<usize>

type Output = <Saturating<usize> as Div>::Output

impl<'a> Div<Wrapping<i8>> for &'a cairo_vm::with_std::num::Wrapping<i8>

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

impl<'a> Div<Wrapping<i16>> for &'a cairo_vm::with_std::num::Wrapping<i16>

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

impl<'a> Div<Wrapping<i32>> for &'a cairo_vm::with_std::num::Wrapping<i32>

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

impl<'a> Div<Wrapping<i64>> for &'a cairo_vm::with_std::num::Wrapping<i64>

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

impl<'a> Div<Wrapping<i128>> for &'a cairo_vm::with_std::num::Wrapping<i128>

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

impl<'a> Div<Wrapping<isize>> for &'a cairo_vm::with_std::num::Wrapping<isize>

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

impl<'a> Div<Wrapping<u8>> for &'a cairo_vm::with_std::num::Wrapping<u8>

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

impl<'a> Div<Wrapping<u16>> for &'a cairo_vm::with_std::num::Wrapping<u16>

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

impl<'a> Div<Wrapping<u32>> for &'a cairo_vm::with_std::num::Wrapping<u32>

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

impl<'a> Div<Wrapping<u64>> for &'a cairo_vm::with_std::num::Wrapping<u64>

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

impl<'a> Div<Wrapping<u128>> for &'a cairo_vm::with_std::num::Wrapping<u128>

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

impl<'a> Div<Wrapping<usize>> for &'a cairo_vm::with_std::num::Wrapping<usize>

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

impl<'a> Div<Decimal> for &'a Decimal

type Output = Decimal

impl<'a, 'b> Div<&'b Decimal> for &'a Decimal

type Output = Decimal

impl<'a, 'b, P> Div<&'a CubicExtField<P>> for &'b CubicExtField<P>

where P: CubicExtConfig,

type Output = CubicExtField<P>

impl<'a, 'b, P> Div<&'a QuadExtField<P>> for &'b QuadExtField<P>

where P: QuadExtConfig,

type Output = QuadExtField<P>

impl<'a, 'b, P> Div<&'a mut CubicExtField<P>> for &'b CubicExtField<P>

where P: CubicExtConfig,

type Output = CubicExtField<P>

impl<'a, 'b, P> Div<&'a mut QuadExtField<P>> for &'b QuadExtField<P>

where P: QuadExtConfig,

type Output = QuadExtField<P>

impl<'a, 'b, P, const N: usize> Div<&'b Fp<P, N>> for &'a Fp<P, N>

where P: FpConfig<N>,

type Output = Fp<P, N>

impl<'a, 'b, T, R> Div<&'b Mint<T, R>> for &'a Mint<T, R>

where T: Integer<Output = T> + Clone + for<'r> Div<&'r T>, R: Reducer<T>,

type Output = Mint<T, R>

impl<'a, P> Div<&'a CubicExtField<P>> for CubicExtField<P>

where P: CubicExtConfig,

type Output = CubicExtField<P>

impl<'a, P> Div<&'a QuadExtField<P>> for QuadExtField<P>

where P: QuadExtConfig,

type Output = QuadExtField<P>

impl<'a, P> Div<&'a mut CubicExtField<P>> for CubicExtField<P>

where P: CubicExtConfig,

type Output = CubicExtField<P>

impl<'a, P> Div<&'a mut QuadExtField<P>> for QuadExtField<P>

where P: QuadExtConfig,

type Output = QuadExtField<P>

impl<'a, P, const N: usize> Div<&'a Fp<P, N>> for Fp<P, N>

where P: FpConfig<N>,

type Output = Fp<P, N>

impl<'a, P, const N: usize> Div<&'a mut Fp<P, N>> for Fp<P, N>

where P: FpConfig<N>,

type Output = Fp<P, N>

impl<'b, P> Div<CubicExtField<P>> for &'b CubicExtField<P>

where P: CubicExtConfig,

type Output = CubicExtField<P>

impl<'b, P> Div<QuadExtField<P>> for &'b QuadExtField<P>

where P: QuadExtConfig,

type Output = QuadExtField<P>

impl<'lhs, 'rhs, T, const N: usize> Div<&'rhs Simd<T, N>> for &'lhs Simd<T, N>

where T: SimdElement, Simd<T, N>: Div<Output = Simd<T, N>>, LaneCount<N>: SupportedLaneCount,

type Output = Simd<T, N>

impl<F> Div for Polynomial<FieldElement<F>>

where F: IsField,

type Output = Polynomial<FieldElement<F>>

impl<F, L> Div<&FieldElement<L>> for &FieldElement<F>

where F: IsSubFieldOf<L>, L: IsField,

Division operator overloading for field elements*/

type Output = FieldElement<L>

impl<F, L> Div<&FieldElement<L>> for FieldElement<F>

where F: IsSubFieldOf<L>, L: IsField,

type Output = FieldElement<L>

impl<F, L> Div<FieldElement<L>> for &FieldElement<F>

where F: IsSubFieldOf<L>, L: IsField,

type Output = FieldElement<L>

impl<F, L> Div<FieldElement<L>> for FieldElement<F>

where F: IsSubFieldOf<L>, L: IsField,

type Output = FieldElement<L>

impl<I> Div<I> for Z0

where I: Integer + NonZero,

Z0 / I = Z0 where I != 0

type Output = Z0

impl<O> Div for F32<O>

where O: ByteOrder,

type Output = F32<O>

impl<O> Div for F64<O>

where O: ByteOrder,

type Output = F64<O>

impl<O> Div for I16<O>

where O: ByteOrder,

type Output = I16<O>

impl<O> Div for I32<O>

where O: ByteOrder,

type Output = I32<O>

impl<O> Div for I64<O>

where O: ByteOrder,

type Output = I64<O>

impl<O> Div for I128<O>

where O: ByteOrder,

type Output = I128<O>

impl<O> Div for U16<O>

where O: ByteOrder,

type Output = U16<O>

impl<O> Div for U32<O>

where O: ByteOrder,

type Output = U32<O>

impl<O> Div for U64<O>

where O: ByteOrder,

type Output = U64<O>

impl<O> Div for U128<O>

where O: ByteOrder,

type Output = U128<O>

impl<P> Div for CubicExtField<P>

where P: CubicExtConfig,

type Output = CubicExtField<P>

impl<P> Div for QuadExtField<P>

where P: QuadExtConfig,

type Output = QuadExtField<P>

impl<P, const N: usize> Div for Fp<P, N>

where P: FpConfig<N>,

type Output = Fp<P, N>

impl<Rhs> Div<Rhs> for ATerm

type Output = ATerm

impl<T, R> Div for ReducedInt<T, R>

where T: PartialEq, R: Reducer<T>,

type Output = ReducedInt<T, R>

impl<T, R> Div for Mint<T, R>

where T: Integer + Clone, R: Reducer<T>,

type Output = Mint<T, R>

impl<T, R> Div<&ReducedInt<T, R>> for &ReducedInt<T, R>

where T: PartialEq + Clone, R: Reducer<T> + Clone,

type Output = ReducedInt<T, R>

impl<T, R> Div<&ReducedInt<T, R>> for ReducedInt<T, R>

where T: PartialEq + Clone, R: Reducer<T> + Clone,

type Output = ReducedInt<T, R>

impl<T, R> Div<&Mint<T, R>> for Mint<T, R>

where T: Integer<Output = T> + Clone + for<'r> Div<&'r T>, R: Reducer<T>,

type Output = Mint<T, R>

impl<T, R> Div<ReducedInt<T, R>> for &ReducedInt<T, R>

where T: PartialEq + Clone, R: Reducer<T> + Clone,

type Output = ReducedInt<T, R>

impl<T, R> Div<Mint<T, R>> for &Mint<T, R>

where T: Integer + Clone, R: Reducer<T>,

type Output = Mint<T, R>

impl<T, const N: usize> Div<&Simd<T, N>> for Simd<T, N>

where T: SimdElement, Simd<T, N>: Div<Output = Simd<T, N>>, LaneCount<N>: SupportedLaneCount,

type Output = Simd<T, N>

impl<T, const N: usize> Div<Simd<T, N>> for &Simd<T, N>

where T: SimdElement, Simd<T, N>: Div<Output = Simd<T, N>>, LaneCount<N>: SupportedLaneCount,

type Output = Simd<T, N>

impl<Ul, Bl, Ur, Br> Div<UInt<Ur, Br>> for UInt<Ul, Bl>

where Ul: Unsigned, Bl: Bit, Ur: Unsigned, Br: Bit, UInt<Ul, Bl>: Len, <UInt<Ul, Bl> as Len>::Output: Sub<B1>, (): PrivateDiv<UInt<Ul, Bl>, UInt<Ur, Br>, UTerm, UTerm, <<UInt<Ul, Bl> as Len>::Output as Sub<B1>>::Output>,

type Output = <() as PrivateDiv<UInt<Ul, Bl>, UInt<Ur, Br>, UTerm, UTerm, <<UInt<Ul, Bl> as Len>::Output as Sub<B1>>::Output>>::Quotient

impl<Ul, Ur> Div<NInt<Ur>> for NInt<Ul>

where Ul: Unsigned + NonZero + Cmp<Ur>, Ur: Unsigned + NonZero, NInt<Ul>: PrivateDivInt<<Ul as Cmp<Ur>>::Output, NInt<Ur>>,

$A<Ul> / $B<Ur> = $R<Ul / Ur>

type Output = <NInt<Ul> as PrivateDivInt<<Ul as Cmp<Ur>>::Output, NInt<Ur>>>::Output

impl<Ul, Ur> Div<NInt<Ur>> for PInt<Ul>

where Ul: Unsigned + NonZero + Cmp<Ur>, Ur: Unsigned + NonZero, PInt<Ul>: PrivateDivInt<<Ul as Cmp<Ur>>::Output, NInt<Ur>>,

$A<Ul> / $B<Ur> = $R<Ul / Ur>

type Output = <PInt<Ul> as PrivateDivInt<<Ul as Cmp<Ur>>::Output, NInt<Ur>>>::Output

impl<Ul, Ur> Div<PInt<Ur>> for NInt<Ul>

where Ul: Unsigned + NonZero + Cmp<Ur>, Ur: Unsigned + NonZero, NInt<Ul>: PrivateDivInt<<Ul as Cmp<Ur>>::Output, PInt<Ur>>,

$A<Ul> / $B<Ur> = $R<Ul / Ur>

type Output = <NInt<Ul> as PrivateDivInt<<Ul as Cmp<Ur>>::Output, PInt<Ur>>>::Output

impl<Ul, Ur> Div<PInt<Ur>> for PInt<Ul>

where Ul: Unsigned + NonZero + Cmp<Ur>, Ur: Unsigned + NonZero, PInt<Ul>: PrivateDivInt<<Ul as Cmp<Ur>>::Output, PInt<Ur>>,

$A<Ul> / $B<Ur> = $R<Ul / Ur>

type Output = <PInt<Ul> as PrivateDivInt<<Ul as Cmp<Ur>>::Output, PInt<Ur>>>::Output

impl<Ur, Br> Div<UInt<Ur, Br>> for UTerm

where Ur: Unsigned, Br: Bit,

type Output = UTerm

impl<V, A, Rhs> Div<Rhs> for TArr<V, A>

where V: Div<Rhs>, A: Div<Rhs>, Rhs: Copy,

type Output = TArr<<V as Div<Rhs>>::Output, <A as Div<Rhs>>::Output>

impl<const LIMBS: usize> Div<&NonZero<Limb>> for &Uint<LIMBS>

type Output = Uint<LIMBS>

impl<const LIMBS: usize> Div<&NonZero<Limb>> for &crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const LIMBS: usize> Div<&NonZero<Limb>> for Uint<LIMBS>

type Output = Uint<LIMBS>

impl<const LIMBS: usize> Div<&NonZero<Limb>> for crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const LIMBS: usize> Div<&NonZero<Uint<LIMBS>>> for &Uint<LIMBS>

type Output = Uint<LIMBS>

impl<const LIMBS: usize> Div<&NonZero<Uint<LIMBS>>> for &crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const LIMBS: usize> Div<&NonZero<Uint<LIMBS>>> for Uint<LIMBS>

type Output = Uint<LIMBS>

impl<const LIMBS: usize> Div<&NonZero<Uint<LIMBS>>> for crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const LIMBS: usize> Div<NonZero<Limb>> for &Uint<LIMBS>

type Output = Uint<LIMBS>

impl<const LIMBS: usize> Div<NonZero<Limb>> for &crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const LIMBS: usize> Div<NonZero<Limb>> for Uint<LIMBS>

type Output = Uint<LIMBS>

impl<const LIMBS: usize> Div<NonZero<Limb>> for crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const LIMBS: usize> Div<NonZero<Uint<LIMBS>>> for &Uint<LIMBS>

type Output = Uint<LIMBS>

impl<const LIMBS: usize> Div<NonZero<Uint<LIMBS>>> for &crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const LIMBS: usize> Div<NonZero<Uint<LIMBS>>> for Uint<LIMBS>

type Output = Uint<LIMBS>

impl<const LIMBS: usize> Div<NonZero<Uint<LIMBS>>> for crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const N: usize> Div for Simd<f32, N>

where f32: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<f32, N>

impl<const N: usize> Div for Simd<f64, N>

where f64: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<f64, N>

impl<const N: usize> Div for Simd<i8, N>

where i8: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<i8, N>

impl<const N: usize> Div for Simd<i16, N>

where i16: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<i16, N>

impl<const N: usize> Div for Simd<i32, N>

where i32: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<i32, N>

impl<const N: usize> Div for Simd<i64, N>

where i64: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<i64, N>

impl<const N: usize> Div for Simd<isize, N>

where isize: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<isize, N>

impl<const N: usize> Div for Simd<u8, N>

where u8: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<u8, N>

impl<const N: usize> Div for Simd<u16, N>

where u16: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<u16, N>

impl<const N: usize> Div for Simd<u32, N>

where u32: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<u32, N>

impl<const N: usize> Div for Simd<u64, N>

where u64: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<u64, N>

impl<const N: usize> Div for Simd<usize, N>

where usize: SimdElement, LaneCount<N>: SupportedLaneCount,

type Output = Simd<usize, N>