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§
Required Methods§
Implementors§
§impl Sub for airbender_crypto::k256::ProjectivePoint
impl Sub for airbender_crypto::k256::ProjectivePoint
type Output = ProjectivePoint
1.74.0 (const: unstable) · Source§impl Sub for Saturating<i128>
impl Sub for Saturating<i128>
type Output = Saturating<i128>
1.74.0 (const: unstable) · Source§impl Sub for Saturating<isize>
impl Sub for Saturating<isize>
type Output = Saturating<isize>
1.74.0 (const: unstable) · Source§impl Sub for Saturating<u128>
impl Sub for Saturating<u128>
type Output = Saturating<u128>
1.74.0 (const: unstable) · Source§impl Sub for Saturating<usize>
impl Sub for Saturating<usize>
type Output = Saturating<usize>
§impl Sub<&AffinePoint> for &airbender_crypto::k256::ProjectivePoint
impl Sub<&AffinePoint> for &airbender_crypto::k256::ProjectivePoint
type Output = ProjectivePoint
§impl Sub<&AffinePoint> for airbender_crypto::k256::ProjectivePoint
impl Sub<&AffinePoint> for airbender_crypto::k256::ProjectivePoint
type Output = ProjectivePoint
§impl Sub<&ProjectivePoint> for &airbender_crypto::k256::ProjectivePoint
impl Sub<&ProjectivePoint> for &airbender_crypto::k256::ProjectivePoint
type Output = ProjectivePoint
§impl Sub<&ProjectivePoint> for airbender_crypto::k256::ProjectivePoint
impl Sub<&ProjectivePoint> for airbender_crypto::k256::ProjectivePoint
type Output = ProjectivePoint
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<i8>> for &Saturating<i8>
impl Sub<&Saturating<i8>> for &Saturating<i8>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<i8>> for Saturating<i8>
impl Sub<&Saturating<i8>> for Saturating<i8>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<i16>> for &Saturating<i16>
impl Sub<&Saturating<i16>> for &Saturating<i16>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<i16>> for Saturating<i16>
impl Sub<&Saturating<i16>> for Saturating<i16>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<i32>> for &Saturating<i32>
impl Sub<&Saturating<i32>> for &Saturating<i32>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<i32>> for Saturating<i32>
impl Sub<&Saturating<i32>> for Saturating<i32>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<i64>> for &Saturating<i64>
impl Sub<&Saturating<i64>> for &Saturating<i64>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<i64>> for Saturating<i64>
impl Sub<&Saturating<i64>> for Saturating<i64>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<i128>> for &Saturating<i128>
impl Sub<&Saturating<i128>> for &Saturating<i128>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<i128>> for Saturating<i128>
impl Sub<&Saturating<i128>> for Saturating<i128>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<isize>> for &Saturating<isize>
impl Sub<&Saturating<isize>> for &Saturating<isize>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<isize>> for Saturating<isize>
impl Sub<&Saturating<isize>> for Saturating<isize>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<u8>> for &Saturating<u8>
impl Sub<&Saturating<u8>> for &Saturating<u8>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<u8>> for Saturating<u8>
impl Sub<&Saturating<u8>> for Saturating<u8>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<u16>> for &Saturating<u16>
impl Sub<&Saturating<u16>> for &Saturating<u16>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<u16>> for Saturating<u16>
impl Sub<&Saturating<u16>> for Saturating<u16>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<u32>> for &Saturating<u32>
impl Sub<&Saturating<u32>> for &Saturating<u32>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<u32>> for Saturating<u32>
impl Sub<&Saturating<u32>> for Saturating<u32>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<u64>> for &Saturating<u64>
impl Sub<&Saturating<u64>> for &Saturating<u64>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<u64>> for Saturating<u64>
impl Sub<&Saturating<u64>> for Saturating<u64>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<u128>> for &Saturating<u128>
impl Sub<&Saturating<u128>> for &Saturating<u128>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<u128>> for Saturating<u128>
impl Sub<&Saturating<u128>> for Saturating<u128>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<usize>> for &Saturating<usize>
impl Sub<&Saturating<usize>> for &Saturating<usize>
1.74.0 (const: unstable) · Source§impl Sub<&Saturating<usize>> for Saturating<usize>
impl Sub<&Saturating<usize>> for Saturating<usize>
1.14.0 (const: unstable) · Source§impl Sub<&Wrapping<i128>> for &core::num::wrapping::Wrapping<i128>
impl Sub<&Wrapping<i128>> for &core::num::wrapping::Wrapping<i128>
1.14.0 (const: unstable) · Source§impl Sub<&Wrapping<isize>> for &core::num::wrapping::Wrapping<isize>
impl Sub<&Wrapping<isize>> for &core::num::wrapping::Wrapping<isize>
1.14.0 (const: unstable) · Source§impl Sub<&Wrapping<isize>> for core::num::wrapping::Wrapping<isize>
impl Sub<&Wrapping<isize>> for core::num::wrapping::Wrapping<isize>
1.14.0 (const: unstable) · Source§impl Sub<&Wrapping<u128>> for &core::num::wrapping::Wrapping<u128>
impl Sub<&Wrapping<u128>> for &core::num::wrapping::Wrapping<u128>
1.14.0 (const: unstable) · Source§impl Sub<&Wrapping<usize>> for &core::num::wrapping::Wrapping<usize>
impl Sub<&Wrapping<usize>> for &core::num::wrapping::Wrapping<usize>
1.14.0 (const: unstable) · Source§impl Sub<&Wrapping<usize>> for core::num::wrapping::Wrapping<usize>
impl Sub<&Wrapping<usize>> for core::num::wrapping::Wrapping<usize>
§impl Sub<AffinePoint> for airbender_crypto::k256::ProjectivePoint
impl Sub<AffinePoint> for airbender_crypto::k256::ProjectivePoint
type Output = ProjectivePoint
1.74.0 (const: unstable) · Source§impl Sub<Saturating<i8>> for &Saturating<i8>
impl Sub<Saturating<i8>> for &Saturating<i8>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<i16>> for &Saturating<i16>
impl Sub<Saturating<i16>> for &Saturating<i16>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<i32>> for &Saturating<i32>
impl Sub<Saturating<i32>> for &Saturating<i32>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<i64>> for &Saturating<i64>
impl Sub<Saturating<i64>> for &Saturating<i64>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<i128>> for &Saturating<i128>
impl Sub<Saturating<i128>> for &Saturating<i128>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<isize>> for &Saturating<isize>
impl Sub<Saturating<isize>> for &Saturating<isize>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<u8>> for &Saturating<u8>
impl Sub<Saturating<u8>> for &Saturating<u8>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<u16>> for &Saturating<u16>
impl Sub<Saturating<u16>> for &Saturating<u16>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<u32>> for &Saturating<u32>
impl Sub<Saturating<u32>> for &Saturating<u32>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<u64>> for &Saturating<u64>
impl Sub<Saturating<u64>> for &Saturating<u64>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<u128>> for &Saturating<u128>
impl Sub<Saturating<u128>> for &Saturating<u128>
1.74.0 (const: unstable) · Source§impl Sub<Saturating<usize>> for &Saturating<usize>
impl Sub<Saturating<usize>> for &Saturating<usize>
1.14.0 (const: unstable) · Source§impl Sub<Wrapping<isize>> for &core::num::wrapping::Wrapping<isize>
impl Sub<Wrapping<isize>> for &core::num::wrapping::Wrapping<isize>
1.14.0 (const: unstable) · Source§impl Sub<Wrapping<usize>> for &core::num::wrapping::Wrapping<usize>
impl Sub<Wrapping<usize>> for &core::num::wrapping::Wrapping<usize>
1.8.0 · Source§impl Sub<Duration> for SystemTime
impl Sub<Duration> for SystemTime
type Output = SystemTime
§impl<'a, 'b, F> Sub<&'a DenseMultilinearExtension<F>> for &'b DenseMultilinearExtension<F>where
F: Field,
impl<'a, 'b, F> Sub<&'a DenseMultilinearExtension<F>> for &'b DenseMultilinearExtension<F>where
F: Field,
§impl<'a, 'b, F> Sub<&'a SparseMultilinearExtension<F>> for &'b SparseMultilinearExtension<F>where
F: Field,
impl<'a, 'b, F> Sub<&'a SparseMultilinearExtension<F>> for &'b SparseMultilinearExtension<F>where
F: Field,
§impl<'a, 'b, F, D> Sub<&'a Evaluations<F, D>> for &'b Evaluations<F, D>where
F: FftField,
D: EvaluationDomain<F>,
impl<'a, 'b, F, D> Sub<&'a Evaluations<F, D>> for &'b Evaluations<F, D>where
F: FftField,
D: EvaluationDomain<F>,
§impl<'a, 'b, F, T> Sub<&'a SparsePolynomial<F, T>> for &'b SparsePolynomial<F, T>where
F: Field,
T: Term,
impl<'a, 'b, F, T> Sub<&'a SparsePolynomial<F, T>> for &'b SparsePolynomial<F, T>where
F: Field,
T: Term,
§impl<C> Sub for ScalarPrimitive<C>where
C: Curve,
impl<C> Sub for ScalarPrimitive<C>where
C: Curve,
type Output = ScalarPrimitive<C>
§impl<C> Sub<&ScalarPrimitive<C>> for ScalarPrimitive<C>where
C: Curve,
impl<C> Sub<&ScalarPrimitive<C>> for ScalarPrimitive<C>where
C: Curve,
type Output = ScalarPrimitive<C>
§impl<MOD, const LIMBS: usize> Sub for Residue<MOD, LIMBS>where
MOD: ResidueParams<LIMBS>,
impl<MOD, const LIMBS: usize> Sub for Residue<MOD, LIMBS>where
MOD: ResidueParams<LIMBS>,
§impl<MOD, const LIMBS: usize> Sub<&Residue<MOD, LIMBS>> for &Residue<MOD, LIMBS>where
MOD: ResidueParams<LIMBS>,
impl<MOD, const LIMBS: usize> Sub<&Residue<MOD, LIMBS>> for &Residue<MOD, LIMBS>where
MOD: ResidueParams<LIMBS>,
§impl<MOD, const LIMBS: usize> Sub<&Residue<MOD, LIMBS>> for Residue<MOD, LIMBS>where
MOD: ResidueParams<LIMBS>,
impl<MOD, const LIMBS: usize> Sub<&Residue<MOD, LIMBS>> for Residue<MOD, LIMBS>where
MOD: ResidueParams<LIMBS>,
§impl<MOD, const LIMBS: usize> Sub<Residue<MOD, LIMBS>> for &Residue<MOD, LIMBS>where
MOD: ResidueParams<LIMBS>,
impl<MOD, const LIMBS: usize> Sub<Residue<MOD, LIMBS>> for &Residue<MOD, LIMBS>where
MOD: ResidueParams<LIMBS>,
Source§impl<Ul, Bl, Ur> Sub<Ur> for UInt<Ul, Bl>
Subtracting unsigned integers. We just do our PrivateSub and then Trim the output.
impl<Ul, Bl, Ur> Sub<Ur> for UInt<Ul, Bl>
Subtracting unsigned integers. We just do our PrivateSub and then Trim the output.