Trait Sub

1.0.0 (const: unstable) · 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

§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§

1.0.0 · Source

type Output

The resulting type after applying the - operator.

Required Methods§

1.0.0 · Source

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

Performs the - operation.

§Example
assert_eq!(12 - 1, 11);

Implementors§

1.0.0 (const: unstable) · Source§

impl Sub for f16

1.0.0 (const: unstable) · Source§

impl Sub for f32

1.0.0 (const: unstable) · Source§

impl Sub for f64

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impl Sub for f128

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impl Sub for i8

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impl Sub for i16

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impl Sub for i32

1.0.0 (const: unstable) · Source§

impl Sub for i64

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impl Sub for i128

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impl Sub for isize

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impl Sub for u8

1.0.0 (const: unstable) · Source§

impl Sub for u16

1.0.0 (const: unstable) · Source§

impl Sub for u32

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impl Sub for u64

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impl Sub for u128

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impl Sub for usize

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impl Sub for Assume

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impl Sub for Saturating<i8>

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impl Sub for Saturating<i16>

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impl Sub for Saturating<i32>

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impl Sub for Saturating<i64>

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impl Sub for Saturating<i128>

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impl Sub for Saturating<isize>

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impl Sub for Saturating<u8>

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impl Sub for Saturating<u16>

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impl Sub for Saturating<u32>

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impl Sub for Saturating<u64>

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impl Sub for Saturating<u128>

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impl Sub for Saturating<usize>

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impl Sub for Wrapping<i8>

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impl Sub for Wrapping<i16>

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impl Sub for Wrapping<i32>

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impl Sub for Wrapping<i64>

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impl Sub for Wrapping<i128>

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impl Sub for Wrapping<isize>

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impl Sub for Wrapping<u8>

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impl Sub for Wrapping<u16>

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impl Sub for Wrapping<u32>

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impl Sub for Wrapping<u64>

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impl Sub for Wrapping<u128>

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impl Sub for Wrapping<usize>

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impl Sub for Duration

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impl Sub for Instant

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impl Sub<&f16> for &f16

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impl Sub<&f16> for f16

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impl Sub<&f32> for &f32

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impl Sub<&f32> for f32

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impl Sub<&f64> for &f64

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impl Sub<&f64> for f64

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impl Sub<&f128> for &f128

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impl Sub<&f128> for f128

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impl Sub<&i8> for &i8

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impl Sub<&i8> for i8

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impl Sub<&i16> for &i16

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impl Sub<&i16> for i16

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impl Sub<&i32> for &i32

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impl Sub<&i32> for i32

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impl Sub<&i64> for &i64

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impl Sub<&i64> for i64

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impl Sub<&i128> for &i128

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impl Sub<&i128> for i128

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impl Sub<&isize> for &isize

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impl Sub<&isize> for isize

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impl Sub<&u8> for &u8

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impl Sub<&u8> for u8

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impl Sub<&u16> for &u16

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impl Sub<&u16> for u16

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impl Sub<&u32> for &u32

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impl Sub<&u32> for u32

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impl Sub<&u64> for &u64

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impl Sub<&u64> for u64

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impl Sub<&u128> for &u128

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impl Sub<&u128> for u128

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impl Sub<&usize> for &usize

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impl Sub<&usize> for usize

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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impl Sub<usize> for Dim<[usize; 1]>

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impl Sub<Duration> for Instant

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impl Sub<Duration> for SystemTime

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impl Sub<Complex<f32>> for f32

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impl Sub<Complex<f64>> for f64

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impl Sub<Complex<i8>> for i8

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impl Sub<Complex<i16>> for i16

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impl Sub<Complex<i32>> for i32

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impl Sub<Complex<i64>> for i64

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impl Sub<Complex<i128>> for i128

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impl Sub<Complex<isize>> for isize

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impl Sub<Complex<u8>> for u8

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impl Sub<Complex<u16>> for u16

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impl Sub<Complex<u32>> for u32

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impl Sub<Complex<u64>> for u64

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impl Sub<Complex<u128>> for u128

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impl Sub<Complex<usize>> for usize

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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impl<'a, 'b> Sub<&'a Complex<f32>> for &'b f32

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impl<'a, 'b> Sub<&'a Complex<f64>> for &'b f64

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impl<'a, 'b> Sub<&'a Complex<i8>> for &'b i8

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impl<'a, 'b> Sub<&'a Complex<i16>> for &'b i16

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impl<'a, 'b> Sub<&'a Complex<i32>> for &'b i32

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impl<'a, 'b> Sub<&'a Complex<i64>> for &'b i64

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impl<'a, 'b> Sub<&'a Complex<i128>> for &'b i128

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impl<'a, 'b> Sub<&'a Complex<isize>> for &'b isize

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impl<'a, 'b> Sub<&'a Complex<u8>> for &'b u8

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impl<'a, 'b> Sub<&'a Complex<u16>> for &'b u16

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impl<'a, 'b> Sub<&'a Complex<u32>> for &'b u32

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impl<'a, 'b> Sub<&'a Complex<u64>> for &'b u64

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impl<'a, 'b> Sub<&'a Complex<u128>> for &'b u128

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impl<'a, 'b> Sub<&'a Complex<usize>> for &'b usize

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impl<'a, 'b, T> Sub<&'b Complex<T>> for &'a Complex<T>
where T: Clone + Num,

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impl<'a, 'b, T> Sub<&'a T> for &'b Complex<T>
where T: Clone + Num,

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impl<'a, A, B, S, S2, D, E> Sub<&'a ArrayBase<S2, E>> for &'a ArrayBase<S, D>
where A: Clone + Sub<B, Output = A>, B: Clone, S: Data<Elem = A>, S2: Data<Elem = B>, D: Dimension + DimMax<E>, E: Dimension,

Perform elementwise subtraction between references self and rhs, and return the result as a new Array.

If their shapes disagree, self and rhs is broadcast to their broadcast shape, cloning the data if needed.

Panics if broadcasting isn’t possible.

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impl<'a, A, B, S, S2, D, E> Sub<&'a ArrayBase<S2, E>> for ArrayBase<S, D>
where A: Clone + Sub<B, Output = A>, B: Clone, S: DataOwned<Elem = A> + DataMut, S2: Data<Elem = B>, D: Dimension + DimMax<E>, E: Dimension,

Perform elementwise subtraction between self and reference rhs, and return the result.

rhs must be an Array or ArcArray.

If their shapes disagree, self is broadcast to their broadcast shape, cloning the data if needed.

Panics if broadcasting isn’t possible.

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type Output = ArrayBase<S, <D as DimMax<E>>::Output>

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impl<'a, A, B, S, S2, D, E> Sub<ArrayBase<S2, E>> for &'a ArrayBase<S, D>
where A: Clone + Sub<B, Output = B>, B: Clone, S: Data<Elem = A>, S2: DataOwned<Elem = B> + DataMut, D: Dimension, E: Dimension + DimMax<D>,

Perform elementwise subtraction between reference self and rhs, and return the result.

rhs must be an Array or ArcArray.

If their shapes disagree, self is broadcast to their broadcast shape, cloning the data if needed.

Panics if broadcasting isn’t possible.

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type Output = ArrayBase<S2, <E as DimMax<D>>::Output>

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impl<'a, A, S, D, B> Sub<B> for &'a ArrayBase<S, D>
where A: Clone + Sub<B, Output = A>, S: Data<Elem = A>, D: Dimension, B: ScalarOperand,

Perform elementwise subtraction between the reference self and the scalar x, and return the result as a new Array.

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for f32
where S: Data<Elem = f32>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for f64
where S: Data<Elem = f64>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for i8
where S: Data<Elem = i8>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for i16
where S: Data<Elem = i16>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for i32
where S: Data<Elem = i32>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for i64
where S: Data<Elem = i64>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for i128
where S: Data<Elem = i128>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for isize
where S: Data<Elem = isize>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for u8
where S: Data<Elem = u8>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for u16
where S: Data<Elem = u16>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for u32
where S: Data<Elem = u32>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for u64
where S: Data<Elem = u64>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for u128
where S: Data<Elem = u128>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for usize
where S: Data<Elem = usize>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for Complex<f32>
where S: Data<Elem = Complex<f32>>, D: Dimension,

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impl<'a, S, D> Sub<&'a ArrayBase<S, D>> for Complex<f64>
where S: Data<Elem = Complex<f64>>, D: Dimension,

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impl<'a, T> Sub<&'a Complex<T>> for Complex<T>
where T: Clone + Num,

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impl<'a, T> Sub<&'a T> for Complex<T>
where T: Clone + Num,

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impl<'a, T> Sub<Complex<T>> for &'a Complex<T>
where T: Clone + Num,

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impl<'a, T> Sub<T> for &'a Complex<T>
where T: Clone + Num,

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

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type Output = Simd<T, N>

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impl<A, B, S, S2, D, E> Sub<ArrayBase<S2, E>> for ArrayBase<S, D>
where A: Clone + Sub<B, Output = A>, B: Clone, S: DataOwned<Elem = A> + DataMut, S2: Data<Elem = B>, D: Dimension + DimMax<E>, E: Dimension,

Perform elementwise subtraction between self and rhs, and return the result.

self must be an Array or ArcArray.

If their shapes disagree, self is broadcast to their broadcast shape.

Panics if broadcasting isn’t possible.

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type Output = ArrayBase<S, <D as DimMax<E>>::Output>

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impl<A, S, D, B> Sub<B> for ArrayBase<S, D>
where A: Clone + Sub<B, Output = A>, S: DataOwned<Elem = A> + DataMut, D: Dimension, B: ScalarOperand,

Perform elementwise subtraction between self and the scalar x, and return the result (based on self).

self must be an Array or ArcArray.

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impl<E> Sub for &Quat<E>
where E: MatEl + NdFloat,

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impl<E> Sub for Quat<E>
where E: MatEl + NdFloat,

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impl<E> Sub<E> for Quat<E>
where E: MatEl + NdFloat,

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impl<E, const LEN: usize> Sub for &Vector<E, LEN>
where E: MatEl + NdFloat,

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type Output = Vector<E, LEN>

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impl<E, const LEN: usize> Sub for Vector<E, LEN>
where E: MatEl + NdFloat,

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type Output = Vector<E, LEN>

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impl<E, const LEN: usize> Sub<E> for Vector<E, LEN>
where E: MatEl + NdFloat,

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type Output = Vector<E, LEN>

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impl<I> Sub for Dim<I>
where Dim<I>: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for f32
where S: DataOwned<Elem = f32> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for f64
where S: DataOwned<Elem = f64> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for i8
where S: DataOwned<Elem = i8> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for i16
where S: DataOwned<Elem = i16> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for i32
where S: DataOwned<Elem = i32> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for i64
where S: DataOwned<Elem = i64> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for i128
where S: DataOwned<Elem = i128> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for isize
where S: DataOwned<Elem = isize> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for u8
where S: DataOwned<Elem = u8> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for u16
where S: DataOwned<Elem = u16> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for u32
where S: DataOwned<Elem = u32> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for u64
where S: DataOwned<Elem = u64> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for u128
where S: DataOwned<Elem = u128> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for usize
where S: DataOwned<Elem = usize> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for Complex<f32>
where S: DataOwned<Elem = Complex<f32>> + DataMut, D: Dimension,

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impl<S, D> Sub<ArrayBase<S, D>> for Complex<f64>
where S: DataOwned<Elem = Complex<f64>> + DataMut, D: Dimension,

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impl<T> Sub for Complex<T>
where T: Clone + Num,

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impl<T> Sub<T> for Complex<T>
where T: Clone + Num,

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

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type Output = Simd<T, N>

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

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type Output = Simd<T, N>

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

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

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

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

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

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

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

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

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

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

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

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