# Trait std::ops::Rem

1.0.0 · source ·

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

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

Expand description

The remainder operator `%`.

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

## Examples

This example implements `Rem` on a `SplitSlice` object. After `Rem` is implemented, one can use the `%` operator to find out what the remaining elements of the slice would be after splitting it into equal slices of a given length.

    use std::ops::Rem;

    #[derive(PartialEq, Debug)]
    struct SplitSlice<'a, T> {
        slice: &'a [T],
    }

    impl<'a, T> Rem<usize> for SplitSlice<'a, T> {
        type Output = Self;

        fn rem(self, modulus: usize) -> Self::Output {
            let len = self.slice.len();
            let rem = len % modulus;
            let start = len - rem;
            Self {slice: &self.slice[start..]}
        }
    }

    // If we were to divide &[0, 1, 2, 3, 4, 5, 6, 7] into slices of size 3,
    // the remainder would be &[6, 7].
    assert_eq!(SplitSlice { slice: &[0, 1, 2, 3, 4, 5, 6, 7] } % 3,
               SplitSlice { slice: &[6, 7] });

Run

## Required Associated Types§

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#### type Output

The resulting type after applying the `%` operator.

## Required Methods§

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

Performs the `%` operation.

##### Example

    assert_eq!(12 % 10, 2);

Run

## Implementors§

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### impl Rem for f32

The remainder from the division of two floats.

The remainder has the same sign as the dividend and is computed as: `x - (x / y).trunc() * y`.

#### Examples

    let x: f32 = 50.50;
    let y: f32 = 8.125;
    let remainder = x - (x / y).trunc() * y;

    // The answer to both operations is 1.75
    assert_eq!(x % y, remainder);

Run
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#### type Output = f32

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### impl Rem for f64

The remainder from the division of two floats.

The remainder has the same sign as the dividend and is computed as: `x - (x / y).trunc() * y`.

#### Examples

    let x: f32 = 50.50;
    let y: f32 = 8.125;
    let remainder = x - (x / y).trunc() * y;

    // The answer to both operations is 1.75
    assert_eq!(x % y, remainder);

Run
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#### type Output = f64

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### impl Rem for i8

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0` or if `self / other` results in overflow.

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#### type Output = i8

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### impl Rem for i16

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0` or if `self / other` results in overflow.

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#### type Output = i16

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### impl Rem for i32

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0` or if `self / other` results in overflow.

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#### type Output = i32

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### impl Rem for i64

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0` or if `self / other` results in overflow.

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#### type Output = i64

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### impl Rem for i128

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0` or if `self / other` results in overflow.

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#### type Output = i128

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### impl Rem for isize

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0` or if `self / other` results in overflow.

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#### type Output = isize

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### impl Rem for u8

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0`.

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#### type Output = u8

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### impl Rem for u16

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0`.

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#### type Output = u16

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### impl Rem for u32

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0`.

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#### type Output = u32

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### impl Rem for u64

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0`.

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#### type Output = u64

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### impl Rem for u128

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0`.

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#### type Output = u128

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### impl Rem for usize

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### Panics

This operation will panic if `other == 0`.

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#### type Output = usize

1.74.0 · source§

### impl Rem for Saturating<i8>

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#### type Output = Saturating<i8>

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### impl Rem for Saturating<i16>

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#### type Output = Saturating<i16>

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### impl Rem for Saturating<i32>

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#### type Output = Saturating<i32>

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### impl Rem for Saturating<i64>

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#### type Output = Saturating<i64>

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### impl Rem for Saturating<i128>

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#### type Output = Saturating<i128>

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### impl Rem for Saturating<isize>

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#### type Output = Saturating<isize>

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### impl Rem for Saturating<u8>

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#### type Output = Saturating<u8>

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### impl Rem for Saturating<u16>

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#### type Output = Saturating<u16>

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### impl Rem for Saturating<u32>

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#### type Output = Saturating<u32>

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### impl Rem for Saturating<u64>

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#### type Output = Saturating<u64>

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### impl Rem for Saturating<u128>

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#### type Output = Saturating<u128>

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### impl Rem for Saturating<usize>

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#### type Output = Saturating<usize>

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### impl Rem for Wrapping<i8>

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#### type Output = Wrapping<i8>

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### impl Rem for Wrapping<i16>

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#### type Output = Wrapping<i16>

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### impl Rem for Wrapping<i32>

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#### type Output = Wrapping<i32>

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### impl Rem for Wrapping<i64>

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#### type Output = Wrapping<i64>

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### impl Rem for Wrapping<i128>

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#### type Output = Wrapping<i128>

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### impl Rem for Wrapping<isize>

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#### type Output = Wrapping<isize>

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### impl Rem for Wrapping<u8>

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#### type Output = Wrapping<u8>

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### impl Rem for Wrapping<u16>

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#### type Output = Wrapping<u16>

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### impl Rem for Wrapping<u32>

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#### type Output = Wrapping<u32>

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### impl Rem for Wrapping<u64>

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#### type Output = Wrapping<u64>

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### impl Rem for Wrapping<u128>

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#### type Output = Wrapping<u128>

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### impl Rem for Wrapping<usize>

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#### type Output = Wrapping<usize>

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### impl Rem<&f32> for &f32

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#### type Output = <f32 as Rem>::Output

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### impl Rem<&f32> for f32

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#### type Output = <f32 as Rem>::Output

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### impl Rem<&f64> for &f64

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#### type Output = <f64 as Rem>::Output

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### impl Rem<&f64> for f64

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#### type Output = <f64 as Rem>::Output

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### impl Rem<&i8> for &i8

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#### type Output = <i8 as Rem>::Output

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### impl Rem<&i8> for i8

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#### type Output = <i8 as Rem>::Output

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### impl Rem<&i16> for &i16

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#### type Output = <i16 as Rem>::Output

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### impl Rem<&i16> for i16

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#### type Output = <i16 as Rem>::Output

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### impl Rem<&i32> for &i32

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#### type Output = <i32 as Rem>::Output

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### impl Rem<&i32> for i32

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#### type Output = <i32 as Rem>::Output

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### impl Rem<&i64> for &i64

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#### type Output = <i64 as Rem>::Output

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### impl Rem<&i64> for i64

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#### type Output = <i64 as Rem>::Output

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### impl Rem<&i128> for &i128

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#### type Output = <i128 as Rem>::Output

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### impl Rem<&i128> for i128

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#### type Output = <i128 as Rem>::Output

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### impl Rem<&isize> for &isize

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#### type Output = <isize as Rem>::Output

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### impl Rem<&isize> for isize

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#### type Output = <isize as Rem>::Output

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### impl Rem<&u8> for &u8

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#### type Output = <u8 as Rem>::Output

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### impl Rem<&u8> for u8

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#### type Output = <u8 as Rem>::Output

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### impl Rem<&u16> for &u16

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#### type Output = <u16 as Rem>::Output

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### impl Rem<&u16> for u16

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#### type Output = <u16 as Rem>::Output

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### impl Rem<&u32> for &u32

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#### type Output = <u32 as Rem>::Output

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### impl Rem<&u32> for u32

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#### type Output = <u32 as Rem>::Output

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### impl Rem<&u64> for &u64

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#### type Output = <u64 as Rem>::Output

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### impl Rem<&u64> for u64

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#### type Output = <u64 as Rem>::Output

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### impl Rem<&u128> for &u128

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#### type Output = <u128 as Rem>::Output

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### impl Rem<&u128> for u128

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#### type Output = <u128 as Rem>::Output

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### impl Rem<&usize> for &usize

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#### type Output = <usize as Rem>::Output

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### impl Rem<&usize> for usize

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#### type Output = <usize as Rem>::Output

1.74.0 · source§

### impl Rem<&Saturating<i8>> for &Saturating<i8>

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#### type Output = <Saturating<i8> as Rem>::Output

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### impl Rem<&Saturating<i8>> for Saturating<i8>

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#### type Output = <Saturating<i8> as Rem>::Output

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### impl Rem<&Saturating<i16>> for &Saturating<i16>

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#### type Output = <Saturating<i16> as Rem>::Output

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### impl Rem<&Saturating<i16>> for Saturating<i16>

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#### type Output = <Saturating<i16> as Rem>::Output

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### impl Rem<&Saturating<i32>> for &Saturating<i32>

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#### type Output = <Saturating<i32> as Rem>::Output

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### impl Rem<&Saturating<i32>> for Saturating<i32>

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#### type Output = <Saturating<i32> as Rem>::Output

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### impl Rem<&Saturating<i64>> for &Saturating<i64>

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#### type Output = <Saturating<i64> as Rem>::Output

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### impl Rem<&Saturating<i64>> for Saturating<i64>

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#### type Output = <Saturating<i64> as Rem>::Output

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### impl Rem<&Saturating<i128>> for &Saturating<i128>

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#### type Output = <Saturating<i128> as Rem>::Output

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### impl Rem<&Saturating<i128>> for Saturating<i128>

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#### type Output = <Saturating<i128> as Rem>::Output

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### impl Rem<&Saturating<isize>> for &Saturating<isize>

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#### type Output = <Saturating<isize> as Rem>::Output

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### impl Rem<&Saturating<isize>> for Saturating<isize>

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#### type Output = <Saturating<isize> as Rem>::Output

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### impl Rem<&Saturating<u8>> for &Saturating<u8>

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#### type Output = <Saturating<u8> as Rem>::Output

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### impl Rem<&Saturating<u8>> for Saturating<u8>

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#### type Output = <Saturating<u8> as Rem>::Output

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### impl Rem<&Saturating<u16>> for &Saturating<u16>

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#### type Output = <Saturating<u16> as Rem>::Output

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### impl Rem<&Saturating<u16>> for Saturating<u16>

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#### type Output = <Saturating<u16> as Rem>::Output

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### impl Rem<&Saturating<u32>> for &Saturating<u32>

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#### type Output = <Saturating<u32> as Rem>::Output

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### impl Rem<&Saturating<u32>> for Saturating<u32>

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#### type Output = <Saturating<u32> as Rem>::Output

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### impl Rem<&Saturating<u64>> for &Saturating<u64>

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#### type Output = <Saturating<u64> as Rem>::Output

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### impl Rem<&Saturating<u64>> for Saturating<u64>

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#### type Output = <Saturating<u64> as Rem>::Output

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### impl Rem<&Saturating<u128>> for &Saturating<u128>

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#### type Output = <Saturating<u128> as Rem>::Output

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### impl Rem<&Saturating<u128>> for Saturating<u128>

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#### type Output = <Saturating<u128> as Rem>::Output

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### impl Rem<&Saturating<usize>> for &Saturating<usize>

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#### type Output = <Saturating<usize> as Rem>::Output

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### impl Rem<&Saturating<usize>> for Saturating<usize>

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#### type Output = <Saturating<usize> as Rem>::Output

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### impl Rem<&Wrapping<i8>> for &Wrapping<i8>

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#### type Output = <Wrapping<i8> as Rem>::Output

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### impl Rem<&Wrapping<i8>> for Wrapping<i8>

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#### type Output = <Wrapping<i8> as Rem>::Output

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### impl Rem<&Wrapping<i16>> for &Wrapping<i16>

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#### type Output = <Wrapping<i16> as Rem>::Output

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### impl Rem<&Wrapping<i16>> for Wrapping<i16>

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#### type Output = <Wrapping<i16> as Rem>::Output

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### impl Rem<&Wrapping<i32>> for &Wrapping<i32>

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#### type Output = <Wrapping<i32> as Rem>::Output

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### impl Rem<&Wrapping<i32>> for Wrapping<i32>

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#### type Output = <Wrapping<i32> as Rem>::Output

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### impl Rem<&Wrapping<i64>> for &Wrapping<i64>

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#### type Output = <Wrapping<i64> as Rem>::Output

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### impl Rem<&Wrapping<i64>> for Wrapping<i64>

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#### type Output = <Wrapping<i64> as Rem>::Output

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### impl Rem<&Wrapping<i128>> for &Wrapping<i128>

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#### type Output = <Wrapping<i128> as Rem>::Output

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### impl Rem<&Wrapping<i128>> for Wrapping<i128>

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#### type Output = <Wrapping<i128> as Rem>::Output

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### impl Rem<&Wrapping<isize>> for &Wrapping<isize>

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#### type Output = <Wrapping<isize> as Rem>::Output

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### impl Rem<&Wrapping<isize>> for Wrapping<isize>

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#### type Output = <Wrapping<isize> as Rem>::Output

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### impl Rem<&Wrapping<u8>> for &Wrapping<u8>

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#### type Output = <Wrapping<u8> as Rem>::Output

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### impl Rem<&Wrapping<u8>> for Wrapping<u8>

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#### type Output = <Wrapping<u8> as Rem>::Output

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### impl Rem<&Wrapping<u16>> for &Wrapping<u16>

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#### type Output = <Wrapping<u16> as Rem>::Output

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### impl Rem<&Wrapping<u16>> for Wrapping<u16>

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#### type Output = <Wrapping<u16> as Rem>::Output

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### impl Rem<&Wrapping<u32>> for &Wrapping<u32>

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#### type Output = <Wrapping<u32> as Rem>::Output

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### impl Rem<&Wrapping<u32>> for Wrapping<u32>

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#### type Output = <Wrapping<u32> as Rem>::Output

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### impl Rem<&Wrapping<u64>> for &Wrapping<u64>

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#### type Output = <Wrapping<u64> as Rem>::Output

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### impl Rem<&Wrapping<u64>> for Wrapping<u64>

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#### type Output = <Wrapping<u64> as Rem>::Output

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### impl Rem<&Wrapping<u128>> for &Wrapping<u128>

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#### type Output = <Wrapping<u128> as Rem>::Output

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### impl Rem<&Wrapping<u128>> for Wrapping<u128>

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#### type Output = <Wrapping<u128> as Rem>::Output

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### impl Rem<&Wrapping<usize>> for &Wrapping<usize>

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#### type Output = <Wrapping<usize> as Rem>::Output

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### impl Rem<&Wrapping<usize>> for Wrapping<usize>

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#### type Output = <Wrapping<usize> as Rem>::Output

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### impl Rem<NonZeroU8> for u8

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#### type Output = u8

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### impl Rem<NonZeroU16> for u16

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#### type Output = u16

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### impl Rem<NonZeroU32> for u32

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#### type Output = u32

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### impl Rem<NonZeroU64> for u64

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#### type Output = u64

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### impl Rem<NonZeroU128> for u128

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#### type Output = u128

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### impl Rem<NonZeroUsize> for usize

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#### type Output = usize

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### impl<'a> Rem<f32> for &'a f32

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#### type Output = <f32 as Rem>::Output

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### impl<'a> Rem<f64> for &'a f64

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#### type Output = <f64 as Rem>::Output

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### impl<'a> Rem<i8> for &'a i8

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#### type Output = <i8 as Rem>::Output

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### impl<'a> Rem<i16> for &'a i16

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#### type Output = <i16 as Rem>::Output

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### impl<'a> Rem<i32> for &'a i32

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#### type Output = <i32 as Rem>::Output

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### impl<'a> Rem<i64> for &'a i64

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#### type Output = <i64 as Rem>::Output

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### impl<'a> Rem<i128> for &'a i128

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#### type Output = <i128 as Rem>::Output

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### impl<'a> Rem<isize> for &'a isize

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#### type Output = <isize as Rem>::Output

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### impl<'a> Rem<u8> for &'a u8

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#### type Output = <u8 as Rem>::Output

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### impl<'a> Rem<u16> for &'a u16

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#### type Output = <u16 as Rem>::Output

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### impl<'a> Rem<u32> for &'a u32

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#### type Output = <u32 as Rem>::Output

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### impl<'a> Rem<u64> for &'a u64

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#### type Output = <u64 as Rem>::Output

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### impl<'a> Rem<u128> for &'a u128

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#### type Output = <u128 as Rem>::Output

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### impl<'a> Rem<usize> for &'a usize

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#### type Output = <usize as Rem>::Output

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### impl<'a> Rem<Saturating<i8>> for &'a Saturating<i8>

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#### type Output = <Saturating<i8> as Rem>::Output

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### impl<'a> Rem<Saturating<i16>> for &'a Saturating<i16>

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#### type Output = <Saturating<i16> as Rem>::Output

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### impl<'a> Rem<Saturating<i32>> for &'a Saturating<i32>

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#### type Output = <Saturating<i32> as Rem>::Output

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### impl<'a> Rem<Saturating<i64>> for &'a Saturating<i64>

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#### type Output = <Saturating<i64> as Rem>::Output

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### impl<'a> Rem<Saturating<i128>> for &'a Saturating<i128>

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#### type Output = <Saturating<i128> as Rem>::Output

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### impl<'a> Rem<Saturating<isize>> for &'a Saturating<isize>

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#### type Output = <Saturating<isize> as Rem>::Output

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### impl<'a> Rem<Saturating<u8>> for &'a Saturating<u8>

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#### type Output = <Saturating<u8> as Rem>::Output

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### impl<'a> Rem<Saturating<u16>> for &'a Saturating<u16>

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#### type Output = <Saturating<u16> as Rem>::Output

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### impl<'a> Rem<Saturating<u32>> for &'a Saturating<u32>

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#### type Output = <Saturating<u32> as Rem>::Output

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### impl<'a> Rem<Saturating<u64>> for &'a Saturating<u64>

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#### type Output = <Saturating<u64> as Rem>::Output

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### impl<'a> Rem<Saturating<u128>> for &'a Saturating<u128>

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#### type Output = <Saturating<u128> as Rem>::Output

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### impl<'a> Rem<Saturating<usize>> for &'a Saturating<usize>

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#### type Output = <Saturating<usize> as Rem>::Output

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### impl<'a> Rem<Wrapping<i8>> for &'a Wrapping<i8>

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#### type Output = <Wrapping<i8> as Rem>::Output

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### impl<'a> Rem<Wrapping<i16>> for &'a Wrapping<i16>

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#### type Output = <Wrapping<i16> as Rem>::Output

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### impl<'a> Rem<Wrapping<i32>> for &'a Wrapping<i32>

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#### type Output = <Wrapping<i32> as Rem>::Output

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### impl<'a> Rem<Wrapping<i64>> for &'a Wrapping<i64>

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#### type Output = <Wrapping<i64> as Rem>::Output

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### impl<'a> Rem<Wrapping<i128>> for &'a Wrapping<i128>

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#### type Output = <Wrapping<i128> as Rem>::Output

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### impl<'a> Rem<Wrapping<isize>> for &'a Wrapping<isize>

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#### type Output = <Wrapping<isize> as Rem>::Output

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### impl<'a> Rem<Wrapping<u8>> for &'a Wrapping<u8>

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#### type Output = <Wrapping<u8> as Rem>::Output

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### impl<'a> Rem<Wrapping<u16>> for &'a Wrapping<u16>

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#### type Output = <Wrapping<u16> as Rem>::Output

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### impl<'a> Rem<Wrapping<u32>> for &'a Wrapping<u32>

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#### type Output = <Wrapping<u32> as Rem>::Output

1.14.0 · source§

### impl<'a> Rem<Wrapping<u64>> for &'a Wrapping<u64>

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#### type Output = <Wrapping<u64> as Rem>::Output

1.14.0 · source§

### impl<'a> Rem<Wrapping<u128>> for &'a Wrapping<u128>

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#### type Output = <Wrapping<u128> as Rem>::Output

1.14.0 · source§

### impl<'a> Rem<Wrapping<usize>> for &'a Wrapping<usize>

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#### type Output = <Wrapping<usize> as Rem>::Output

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### impl<'lhs, 'rhs, T, const LANES: usize> Rem<&'rhs Simd<T, LANES>> for &'lhs Simd<T, LANES>where T: SimdElement, Simd<T, LANES>: Rem<Output = Simd<T, LANES>>, LaneCount<LANES>: SupportedLaneCount,

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#### type Output = Simd<T, LANES>

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### impl<T, const LANES: usize> Rem<&Simd<T, LANES>> for Simd<T, LANES>where T: SimdElement, Simd<T, LANES>: Rem<Output = Simd<T, LANES>>, LaneCount<LANES>: SupportedLaneCount,

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#### type Output = Simd<T, LANES>

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### impl<T, const LANES: usize> Rem<Simd<T, LANES>> for &Simd<T, LANES>where T: SimdElement, Simd<T, LANES>: Rem<Output = Simd<T, LANES>>, LaneCount<LANES>: SupportedLaneCount,

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#### type Output = Simd<T, LANES>

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### impl<const N: usize> Rem for Simd<f32, N>where f32: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<f32, N>

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### impl<const N: usize> Rem for Simd<f64, N>where f64: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<f64, N>

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### impl<const N: usize> Rem for Simd<i8, N>where i8: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<i8, N>

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### impl<const N: usize> Rem for Simd<i16, N>where i16: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<i16, N>

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### impl<const N: usize> Rem for Simd<i32, N>where i32: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<i32, N>

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### impl<const N: usize> Rem for Simd<i64, N>where i64: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<i64, N>

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### impl<const N: usize> Rem for Simd<isize, N>where isize: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<isize, N>

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### impl<const N: usize> Rem for Simd<u8, N>where u8: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<u8, N>

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### impl<const N: usize> Rem for Simd<u16, N>where u16: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<u16, N>

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### impl<const N: usize> Rem for Simd<u32, N>where u32: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<u32, N>

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### impl<const N: usize> Rem for Simd<u64, N>where u64: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<u64, N>

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### impl<const N: usize> Rem for Simd<usize, N>where usize: SimdElement, LaneCount<N>: SupportedLaneCount,

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#### type Output = Simd<usize, N>