# Trait std::ops::Sub

1.0.0 · source ·

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

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

Expand description

The subtraction operator `-`.

Note that `Rhs` is `Self` by default, but this is not mandatory. For example, `std::time::SystemTime` implements `Sub<Duration>`, which permits operations of the form `SystemTime = SystemTime - Duration`.

## Examples

### `Sub`tractable points

    use std::ops::Sub;

    #[derive(Debug, Copy, Clone, PartialEq)]
    struct Point {
        x: i32,
        y: i32,
    }

    impl Sub for Point {
        type Output = Self;

        fn sub(self, other: Self) -> Self::Output {
            Self {
                x: self.x - other.x,
                y: self.y - other.y,
            }
        }
    }

    assert_eq!(Point { x: 3, y: 3 } - Point { x: 2, y: 3 },
               Point { x: 1, y: 0 });

Run

### Implementing `Sub` with generics

Here is an example of the same `Point` struct implementing the `Sub` trait using generics.

    use std::ops::Sub;

    #[derive(Debug, PartialEq)]
    struct Point<T> {
        x: T,
        y: T,
    }

    // Notice that the implementation uses the associated type `Output`.
    impl<T: Sub<Output = T>> Sub for Point<T> {
        type Output = Self;

        fn sub(self, other: Self) -> Self::Output {
            Point {
                x: self.x - other.x,
                y: self.y - other.y,
            }
        }
    }

    assert_eq!(Point { x: 2, y: 3 } - Point { x: 1, y: 0 },
               Point { x: 1, y: 3 });

Run

## Required Associated Types§

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#### type Output

The resulting type after applying the `-` operator.

## Required Methods§

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

Performs the `-` operation.

##### Example

    assert_eq!(12 - 1, 11);

Run

## Implementors§

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### impl Sub for f32

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#### type Output = f32

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### impl Sub for f64

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#### type Output = f64

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### impl Sub for i8

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#### type Output = i8

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### impl Sub for i16

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#### type Output = i16

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### impl Sub for i32

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#### type Output = i32

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### impl Sub for i64

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#### type Output = i64

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### impl Sub for i128

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#### type Output = i128

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### impl Sub for isize

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#### type Output = isize

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### impl Sub for u8

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#### type Output = u8

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### impl Sub for u16

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#### type Output = u16

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### impl Sub for u32

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#### type Output = u32

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### impl Sub for u64

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#### type Output = u64

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### impl Sub for u128

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#### type Output = u128

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### impl Sub for usize

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#### type Output = usize

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### impl Sub for Assume

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#### type Output = Assume

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### impl Sub for Saturating<i8>

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#### type Output = Saturating<i8>

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### impl Sub for Saturating<i16>

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#### type Output = Saturating<i16>

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### impl Sub for Saturating<i32>

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#### type Output = Saturating<i32>

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### impl Sub for Saturating<i64>

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#### type Output = Saturating<i64>

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### impl Sub for Saturating<i128>

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#### type Output = Saturating<i128>

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### impl Sub for Saturating<isize>

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#### type Output = Saturating<isize>

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### impl Sub for Saturating<u8>

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#### type Output = Saturating<u8>

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### impl Sub for Saturating<u16>

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#### type Output = Saturating<u16>

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### impl Sub for Saturating<u32>

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#### type Output = Saturating<u32>

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### impl Sub for Saturating<u64>

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#### type Output = Saturating<u64>

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### impl Sub for Saturating<u128>

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#### type Output = Saturating<u128>

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### impl Sub for Saturating<usize>

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#### type Output = Saturating<usize>

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### impl Sub for Wrapping<i8>

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#### type Output = Wrapping<i8>

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### impl Sub for Wrapping<i16>

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#### type Output = Wrapping<i16>

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### impl Sub for Wrapping<i32>

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#### type Output = Wrapping<i32>

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### impl Sub for Wrapping<i64>

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#### type Output = Wrapping<i64>

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### impl Sub for Wrapping<i128>

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#### type Output = Wrapping<i128>

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### impl Sub for Wrapping<isize>

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#### type Output = Wrapping<isize>

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### impl Sub for Wrapping<u8>

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#### type Output = Wrapping<u8>

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### impl Sub for Wrapping<u16>

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#### type Output = Wrapping<u16>

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### impl Sub for Wrapping<u32>

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#### type Output = Wrapping<u32>

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### impl Sub for Wrapping<u64>

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#### type Output = Wrapping<u64>

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### impl Sub for Wrapping<u128>

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#### type Output = Wrapping<u128>

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### impl Sub for Wrapping<usize>

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#### type Output = Wrapping<usize>

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### impl Sub for Duration

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#### type Output = Duration

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### impl Sub for Instant

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#### type Output = Duration

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### impl Sub<&f32> for &f32

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

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### impl Sub<&f32> for f32

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

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### impl Sub<&f64> for &f64

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

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### impl Sub<&f64> for f64

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

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### impl Sub<&i8> for &i8

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

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### impl Sub<&i8> for i8

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

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### impl Sub<&i16> for &i16

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

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### impl Sub<&i16> for i16

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

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### impl Sub<&i32> for &i32

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

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### impl Sub<&i32> for i32

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

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### impl Sub<&i64> for &i64

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

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### impl Sub<&i64> for i64

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

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### impl Sub<&i128> for &i128

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

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### impl Sub<&i128> for i128

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

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### impl Sub<&isize> for &isize

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

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### impl Sub<&isize> for isize

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

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### impl Sub<&u8> for &u8

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

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### impl Sub<&u8> for u8

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

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### impl Sub<&u16> for &u16

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

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### impl Sub<&u16> for u16

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

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### impl Sub<&u32> for &u32

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

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### impl Sub<&u32> for u32

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

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### impl Sub<&u64> for &u64

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

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### impl Sub<&u64> for u64

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

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### impl Sub<&u128> for &u128

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

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### impl Sub<&u128> for u128

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

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### impl Sub<&usize> for &usize

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

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### impl Sub<&usize> for usize

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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### impl Sub<Duration> for Instant

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#### type Output = Instant

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### impl Sub<Duration> for SystemTime

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#### type Output = SystemTime

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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### impl<T, A> Sub<&BTreeSet<T, A>> for &BTreeSet<T, A>where T: Ord + Clone, A: Allocator + Clone,

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#### type Output = BTreeSet<T, A>

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### impl<T, S> Sub<&HashSet<T, S>> for &HashSet<T, S>where T: Eq + Hash + Clone, S: BuildHasher + Default,

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#### type Output = HashSet<T, S>

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

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

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

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