Trait Sub 

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

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

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

Subtractable 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 });

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 });

Required Associated Types

type Output

The resulting type after applying the - operator.

Required Methods

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

Performs the - operation.

Example

assert_eq!(12 - 1, 11);

Implementors

impl Sub for f16

type Output = f16

impl Sub for f32

type Output = f32

impl Sub for f64

type Output = f64

impl Sub for f128

type Output = f128

impl Sub for i8

type Output = i8

impl Sub for i16

type Output = i16

impl Sub for i32

type Output = i32

impl Sub for i64

type Output = i64

impl Sub for i128

type Output = i128

impl Sub for isize

type Output = isize

impl Sub for u8

type Output = u8

impl Sub for u16

type Output = u16

impl Sub for u32

type Output = u32

impl Sub for u64

type Output = u64

impl Sub for u128

type Output = u128

impl Sub for usize

type Output = usize

impl Sub for Assume

Available on non-crate feature ferrocene_certified only.

type Output = Assume

impl Sub for Saturating<i8>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<i8>

impl Sub for Saturating<i16>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<i16>

impl Sub for Saturating<i32>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<i32>

impl Sub for Saturating<i64>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<i64>

impl Sub for Saturating<i128>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<i128>

impl Sub for Saturating<isize>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<isize>

impl Sub for Saturating<u8>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<u8>

impl Sub for Saturating<u16>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<u16>

impl Sub for Saturating<u32>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<u32>

impl Sub for Saturating<u64>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<u64>

impl Sub for Saturating<u128>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<u128>

impl Sub for Saturating<usize>

Available on non-crate feature ferrocene_certified only.

type Output = Saturating<usize>

impl Sub for Wrapping<i8>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<i8>

impl Sub for Wrapping<i16>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<i16>

impl Sub for Wrapping<i32>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<i32>

impl Sub for Wrapping<i64>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<i64>

impl Sub for Wrapping<i128>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<i128>

impl Sub for Wrapping<isize>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<isize>

impl Sub for Wrapping<u8>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<u8>

impl Sub for Wrapping<u16>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<u16>

impl Sub for Wrapping<u32>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<u32>

impl Sub for Wrapping<u64>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<u64>

impl Sub for Wrapping<u128>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<u128>

impl Sub for Wrapping<usize>

Available on non-crate feature ferrocene_certified only.

type Output = Wrapping<usize>

impl Sub for Duration

Available on non-crate feature ferrocene_certified only.

type Output = Duration

impl Sub<&f16> for &f16

type Output = <f16 as Sub>::Output

impl Sub<&f16> for f16

type Output = <f16 as Sub>::Output

impl Sub<&f32> for &f32

type Output = <f32 as Sub>::Output

impl Sub<&f32> for f32

type Output = <f32 as Sub>::Output

impl Sub<&f64> for &f64

type Output = <f64 as Sub>::Output

impl Sub<&f64> for f64

type Output = <f64 as Sub>::Output

impl Sub<&f128> for &f128

type Output = <f128 as Sub>::Output

impl Sub<&f128> for f128

type Output = <f128 as Sub>::Output

impl Sub<&i8> for &i8

type Output = <i8 as Sub>::Output

impl Sub<&i8> for i8

type Output = <i8 as Sub>::Output

impl Sub<&i16> for &i16

type Output = <i16 as Sub>::Output

impl Sub<&i16> for i16

type Output = <i16 as Sub>::Output

impl Sub<&i32> for &i32

type Output = <i32 as Sub>::Output

impl Sub<&i32> for i32

type Output = <i32 as Sub>::Output

impl Sub<&i64> for &i64

type Output = <i64 as Sub>::Output

impl Sub<&i64> for i64

type Output = <i64 as Sub>::Output

impl Sub<&i128> for &i128

type Output = <i128 as Sub>::Output

impl Sub<&i128> for i128

type Output = <i128 as Sub>::Output

impl Sub<&isize> for &isize

type Output = <isize as Sub>::Output

impl Sub<&isize> for isize

type Output = <isize as Sub>::Output

impl Sub<&u8> for &u8

type Output = <u8 as Sub>::Output

impl Sub<&u8> for u8

type Output = <u8 as Sub>::Output

impl Sub<&u16> for &u16

type Output = <u16 as Sub>::Output

impl Sub<&u16> for u16

type Output = <u16 as Sub>::Output

impl Sub<&u32> for &u32

type Output = <u32 as Sub>::Output

impl Sub<&u32> for u32

type Output = <u32 as Sub>::Output

impl Sub<&u64> for &u64

type Output = <u64 as Sub>::Output

impl Sub<&u64> for u64

type Output = <u64 as Sub>::Output

impl Sub<&u128> for &u128

type Output = <u128 as Sub>::Output

impl Sub<&u128> for u128

type Output = <u128 as Sub>::Output

impl Sub<&usize> for &usize

type Output = <usize as Sub>::Output

impl Sub<&usize> for usize

type Output = <usize as Sub>::Output

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

impl Sub<f16> for &f16

type Output = <f16 as Sub>::Output

impl Sub<f32> for &f32

type Output = <f32 as Sub>::Output

impl Sub<f64> for &f64

type Output = <f64 as Sub>::Output

impl Sub<f128> for &f128

type Output = <f128 as Sub>::Output

impl Sub<i8> for &i8

type Output = <i8 as Sub>::Output

impl Sub<i16> for &i16

type Output = <i16 as Sub>::Output

impl Sub<i32> for &i32

type Output = <i32 as Sub>::Output

impl Sub<i64> for &i64

type Output = <i64 as Sub>::Output

impl Sub<i128> for &i128

type Output = <i128 as Sub>::Output

impl Sub<isize> for &isize

type Output = <isize as Sub>::Output

impl Sub<u8> for &u8

type Output = <u8 as Sub>::Output

impl Sub<u16> for &u16

type Output = <u16 as Sub>::Output

impl Sub<u32> for &u32

type Output = <u32 as Sub>::Output

impl Sub<u64> for &u64

type Output = <u64 as Sub>::Output

impl Sub<u128> for &u128

type Output = <u128 as Sub>::Output

impl Sub<usize> for &usize

type Output = <usize as Sub>::Output

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

Available on non-crate feature ferrocene_certified only.

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

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<T, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<T, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<T, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<f32, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<f64, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<i8, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<i16, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<i32, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<i64, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<isize, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<u8, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<u16, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<u32, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<u64, N>

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

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

Available on non-crate feature ferrocene_certified only.

type Output = Simd<usize, N>