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 WithdrawReasons

type Output = WithdrawReasons

impl Sub for Weight

type Output = Weight

impl Sub for BigUint

type Output = BigUint

impl Sub for Capabilities

type Output = Capabilities

impl Sub for Instant

type Output = Duration

impl Sub for FixedI64

type Output = FixedI64

impl Sub for FixedI128

type Output = FixedI128

impl Sub for FixedU64

type Output = FixedU64

impl Sub for FixedU128

type Output = FixedU128

impl Sub for PerU16

type Output = PerU16

impl Sub for Perbill

type Output = Perbill

impl Sub for Percent

type Output = Percent

impl Sub for Permill

type Output = Permill

impl Sub for Perquintill

type Output = Perquintill

impl Sub for Assume

type Output = Assume

impl Sub for Saturating<i8>

type Output = Saturating<i8>

impl Sub for Saturating<i16>

type Output = Saturating<i16>

impl Sub for Saturating<i32>

type Output = Saturating<i32>

impl Sub for Saturating<i64>

type Output = Saturating<i64>

impl Sub for Saturating<i128>

type Output = Saturating<i128>

impl Sub for Saturating<isize>

type Output = Saturating<isize>

impl Sub for Saturating<u8>

type Output = Saturating<u8>

impl Sub for Saturating<u16>

type Output = Saturating<u16>

impl Sub for Saturating<u32>

type Output = Saturating<u32>

impl Sub for Saturating<u64>

type Output = Saturating<u64>

impl Sub for Saturating<u128>

type Output = Saturating<u128>

impl Sub for Saturating<usize>

type Output = Saturating<usize>

impl Sub for topsoil_core::runtime::std::num::Wrapping<i8>

type Output = Wrapping<i8>

impl Sub for topsoil_core::runtime::std::num::Wrapping<i16>

type Output = Wrapping<i16>

impl Sub for topsoil_core::runtime::std::num::Wrapping<i32>

type Output = Wrapping<i32>

impl Sub for topsoil_core::runtime::std::num::Wrapping<i64>

type Output = Wrapping<i64>

impl Sub for topsoil_core::runtime::std::num::Wrapping<i128>

type Output = Wrapping<i128>

impl Sub for topsoil_core::runtime::std::num::Wrapping<isize>

type Output = Wrapping<isize>

impl Sub for topsoil_core::runtime::std::num::Wrapping<u8>

type Output = Wrapping<u8>

impl Sub for topsoil_core::runtime::std::num::Wrapping<u16>

type Output = Wrapping<u16>

impl Sub for topsoil_core::runtime::std::num::Wrapping<u32>

type Output = Wrapping<u32>

impl Sub for topsoil_core::runtime::std::num::Wrapping<u64>

type Output = Wrapping<u64>

impl Sub for topsoil_core::runtime::std::num::Wrapping<u128>

type Output = Wrapping<u128>

impl Sub for topsoil_core::runtime::std::num::Wrapping<usize>

type Output = Wrapping<usize>

impl Sub for topsoil_core::runtime::std::time::Duration

type Output = Duration

impl Sub for Checked<Limb>

type Output = Checked<Limb>

impl Sub for crypto_bigint::wrapping::Wrapping<Limb>

type Output = Wrapping<Limb>

impl Sub for EdwardsPoint

type Output = EdwardsPoint

impl Sub for RistrettoPoint

type Output = RistrettoPoint

impl Sub for curve25519_dalek::scalar::Scalar

type Output = Scalar

impl Sub for Length

type Output = Result<Length, Error>

impl Sub for ProjectivePoint

type Output = ProjectivePoint

impl Sub for k256::arithmetic::scalar::Scalar

type Output = Scalar

impl Sub for Rgb

type Output = Rgb

impl Sub for Slot

type Output = Slot

impl Sub for Date

type Output = Duration

impl Sub for time::duration::Duration

type Output = Duration

impl Sub for OffsetDateTime

type Output = Duration

impl Sub for PrimitiveDateTime

type Output = Duration

impl Sub for Time

type Output = Duration

impl Sub for UtcDateTime

type Output = Duration

impl Sub for ATerm

type Output = ATerm

impl Sub for Z0

Z0 - Z0 = Z0

type Output = Z0

impl Sub for UTerm

UTerm - UTerm = UTerm

type Output = UTerm

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>

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

impl Sub<&Wrapping<i8>> for &topsoil_core::runtime::std::num::Wrapping<i8>

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

impl Sub<&Wrapping<i8>> for topsoil_core::runtime::std::num::Wrapping<i8>

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

impl Sub<&Wrapping<i16>> for &topsoil_core::runtime::std::num::Wrapping<i16>

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

impl Sub<&Wrapping<i16>> for topsoil_core::runtime::std::num::Wrapping<i16>

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

impl Sub<&Wrapping<i32>> for &topsoil_core::runtime::std::num::Wrapping<i32>

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

impl Sub<&Wrapping<i32>> for topsoil_core::runtime::std::num::Wrapping<i32>

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

impl Sub<&Wrapping<i64>> for &topsoil_core::runtime::std::num::Wrapping<i64>

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

impl Sub<&Wrapping<i64>> for topsoil_core::runtime::std::num::Wrapping<i64>

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

impl Sub<&Wrapping<i128>> for &topsoil_core::runtime::std::num::Wrapping<i128>

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

impl Sub<&Wrapping<i128>> for topsoil_core::runtime::std::num::Wrapping<i128>

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

impl Sub<&Wrapping<isize>> for &topsoil_core::runtime::std::num::Wrapping<isize>

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

impl Sub<&Wrapping<isize>> for topsoil_core::runtime::std::num::Wrapping<isize>

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

impl Sub<&Wrapping<u8>> for &topsoil_core::runtime::std::num::Wrapping<u8>

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

impl Sub<&Wrapping<u8>> for topsoil_core::runtime::std::num::Wrapping<u8>

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

impl Sub<&Wrapping<u16>> for &topsoil_core::runtime::std::num::Wrapping<u16>

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

impl Sub<&Wrapping<u16>> for topsoil_core::runtime::std::num::Wrapping<u16>

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

impl Sub<&Wrapping<u32>> for &topsoil_core::runtime::std::num::Wrapping<u32>

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

impl Sub<&Wrapping<u32>> for topsoil_core::runtime::std::num::Wrapping<u32>

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

impl Sub<&Wrapping<u64>> for &topsoil_core::runtime::std::num::Wrapping<u64>

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

impl Sub<&Wrapping<u64>> for topsoil_core::runtime::std::num::Wrapping<u64>

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

impl Sub<&Wrapping<u128>> for &topsoil_core::runtime::std::num::Wrapping<u128>

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

impl Sub<&Wrapping<u128>> for topsoil_core::runtime::std::num::Wrapping<u128>

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

impl Sub<&Wrapping<usize>> for &topsoil_core::runtime::std::num::Wrapping<usize>

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

impl Sub<&Wrapping<usize>> for topsoil_core::runtime::std::num::Wrapping<usize>

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

impl Sub<&Checked<Limb>> for &Checked<Limb>

type Output = Checked<Limb>

impl Sub<&Checked<Limb>> for Checked<Limb>

type Output = Checked<Limb>

impl Sub<&Wrapping<Limb>> for &crypto_bigint::wrapping::Wrapping<Limb>

type Output = Wrapping<Limb>

impl Sub<&Wrapping<Limb>> for crypto_bigint::wrapping::Wrapping<Limb>

type Output = Wrapping<Limb>

impl Sub<&AffinePoint> for &ProjectivePoint

type Output = ProjectivePoint

impl Sub<&AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

impl Sub<&ProjectivePoint> for &ProjectivePoint

type Output = ProjectivePoint

impl Sub<&ProjectivePoint> for ProjectivePoint

type Output = ProjectivePoint

impl Sub<&Scalar> for &k256::arithmetic::scalar::Scalar

type Output = Scalar

impl Sub<&Scalar> for k256::arithmetic::scalar::Scalar

type Output = Scalar

impl Sub<&Rgb> for &Rgb

type Output = Rgb

impl Sub<&Rgb> for Rgb

type Output = Rgb

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<SystemTime> for OffsetDateTime

type Output = Duration

impl Sub<SystemTime> for UtcDateTime

type Output = Duration

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

impl Sub<Wrapping<i8>> for &topsoil_core::runtime::std::num::Wrapping<i8>

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

impl Sub<Wrapping<i16>> for &topsoil_core::runtime::std::num::Wrapping<i16>

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

impl Sub<Wrapping<i32>> for &topsoil_core::runtime::std::num::Wrapping<i32>

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

impl Sub<Wrapping<i64>> for &topsoil_core::runtime::std::num::Wrapping<i64>

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

impl Sub<Wrapping<i128>> for &topsoil_core::runtime::std::num::Wrapping<i128>

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

impl Sub<Wrapping<isize>> for &topsoil_core::runtime::std::num::Wrapping<isize>

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

impl Sub<Wrapping<u8>> for &topsoil_core::runtime::std::num::Wrapping<u8>

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

impl Sub<Wrapping<u16>> for &topsoil_core::runtime::std::num::Wrapping<u16>

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

impl Sub<Wrapping<u32>> for &topsoil_core::runtime::std::num::Wrapping<u32>

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

impl Sub<Wrapping<u64>> for &topsoil_core::runtime::std::num::Wrapping<u64>

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

impl Sub<Wrapping<u128>> for &topsoil_core::runtime::std::num::Wrapping<u128>

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

impl Sub<Wrapping<usize>> for &topsoil_core::runtime::std::num::Wrapping<usize>

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

impl Sub<Duration> for Instant

type Output = Instant

impl Sub<Duration> for SystemTime

type Output = SystemTime

impl Sub<Duration> for Date

type Output = Date

impl Sub<Duration> for time::duration::Duration

type Output = Duration

impl Sub<Duration> for OffsetDateTime

type Output = OffsetDateTime

impl Sub<Duration> for PrimitiveDateTime

type Output = PrimitiveDateTime

impl Sub<Duration> for Time

type Output = Time

impl Sub<Duration> for UtcDateTime

type Output = UtcDateTime

impl Sub<Checked<Limb>> for &Checked<Limb>

type Output = Checked<Limb>

impl Sub<Wrapping<Limb>> for &crypto_bigint::wrapping::Wrapping<Limb>

type Output = Wrapping<Limb>

impl Sub<Length> for Result<Length, Error>

type Output = Result<Length, Error>

impl Sub<AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

impl Sub<Rgb> for &Rgb

type Output = Rgb

impl Sub<Duration> for Instant

type Output = Instant

impl Sub<Duration> for SystemTime

Available on crate feature std only.

type Output = SystemTime

impl Sub<Duration> for topsoil_core::runtime::std::time::Duration

type Output = Duration

impl Sub<Duration> for Date

type Output = Date

impl Sub<Duration> for OffsetDateTime

type Output = OffsetDateTime

impl Sub<Duration> for PrimitiveDateTime

type Output = PrimitiveDateTime

impl Sub<Duration> for Time

type Output = Time

impl Sub<Duration> for UtcDateTime

type Output = UtcDateTime

impl Sub<OffsetDateTime> for SystemTime

type Output = Duration

impl Sub<OffsetDateTime> for UtcDateTime

type Output = Duration

impl Sub<UtcDateTime> for SystemTime

type Output = Duration

impl Sub<UtcDateTime> for OffsetDateTime

type Output = Duration

impl Sub<B0> for UTerm

UTerm - B0 = Term

type Output = UTerm

impl Sub<B1> for UInt<UTerm, B1>

UInt<UTerm, B1> - B1 = UTerm

type Output = UTerm

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

type Output = EdwardsPoint

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

type Output = RistrettoPoint

impl<'a> Sub<Scalar> for &'a curve25519_dalek::scalar::Scalar

type Output = Scalar

impl<'a, 'b> Sub<&'b EdwardsPoint> for &'a EdwardsPoint

type Output = EdwardsPoint

impl<'a, 'b> Sub<&'b RistrettoPoint> for &'a RistrettoPoint

type Output = RistrettoPoint

impl<'a, 'b> Sub<&'b Scalar> for &'a curve25519_dalek::scalar::Scalar

type Output = Scalar

impl<'a, 'b> Sub<&'b AffineNielsPoint> for &'a EdwardsPoint

type Output = CompletedPoint

impl<'a, 'b> Sub<&'b ProjectiveNielsPoint> for &'a EdwardsPoint

type Output = CompletedPoint

impl<'a, T> Sub<T> for &'a U256

where T: Into<U256>,

type Output = U256

impl<'a, T> Sub<T> for &'a U512

where T: Into<U512>,

type Output = U512

impl<'a, T> Sub<T> for &'a primitive_types::U128

where T: Into<U128>,

type Output = U128

impl<'b> Sub<&'b EdwardsPoint> for EdwardsPoint

type Output = EdwardsPoint

impl<'b> Sub<&'b RistrettoPoint> for RistrettoPoint

type Output = RistrettoPoint

impl<'b> Sub<&'b Scalar> for curve25519_dalek::scalar::Scalar

type Output = Scalar

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>>,

type Output = Simd<T, N>

impl<C> Sub for ScalarPrimitive<C>

where C: Curve,

type Output = ScalarPrimitive<C>

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>,

type Output = Residue<MOD, LIMBS>

impl<MOD, const LIMBS: usize> Sub<&Residue<MOD, LIMBS>> for &Residue<MOD, LIMBS>

where MOD: ResidueParams<LIMBS>,

type Output = Residue<MOD, LIMBS>

impl<MOD, const LIMBS: usize> Sub<&Residue<MOD, LIMBS>> for Residue<MOD, LIMBS>

where MOD: ResidueParams<LIMBS>,

type Output = Residue<MOD, LIMBS>

impl<MOD, const LIMBS: usize> Sub<Residue<MOD, LIMBS>> for &Residue<MOD, LIMBS>

where MOD: ResidueParams<LIMBS>,

type Output = Residue<MOD, LIMBS>

impl<O> Sub for F32<O>

where O: ByteOrder,

type Output = F32<O>

impl<O> Sub for F64<O>

where O: ByteOrder,

type Output = F64<O>

impl<O> Sub for I16<O>

where O: ByteOrder,

type Output = I16<O>

impl<O> Sub for I32<O>

where O: ByteOrder,

type Output = I32<O>

impl<O> Sub for I64<O>

where O: ByteOrder,

type Output = I64<O>

impl<O> Sub for I128<O>

where O: ByteOrder,

type Output = I128<O>

impl<O> Sub for Isize<O>

where O: ByteOrder,

type Output = Isize<O>

impl<O> Sub for U16<O>

where O: ByteOrder,

type Output = U16<O>

impl<O> Sub for U32<O>

where O: ByteOrder,

type Output = U32<O>

impl<O> Sub for U64<O>

where O: ByteOrder,

type Output = U64<O>

impl<O> Sub for zerocopy::byteorder::U128<O>

where O: ByteOrder,

type Output = U128<O>

impl<O> Sub for Usize<O>

where O: ByteOrder,

type Output = Usize<O>

impl<O> Sub<f32> for F32<O>

where O: ByteOrder,

type Output = F32<O>

impl<O> Sub<f64> for F64<O>

where O: ByteOrder,

type Output = F64<O>

impl<O> Sub<i16> for I16<O>

where O: ByteOrder,

type Output = I16<O>

impl<O> Sub<i32> for I32<O>

where O: ByteOrder,

type Output = I32<O>

impl<O> Sub<i64> for I64<O>

where O: ByteOrder,

type Output = I64<O>

impl<O> Sub<i128> for I128<O>

where O: ByteOrder,

type Output = I128<O>

impl<O> Sub<isize> for Isize<O>

where O: ByteOrder,

type Output = Isize<O>

impl<O> Sub<u16> for U16<O>

where O: ByteOrder,

type Output = U16<O>

impl<O> Sub<u32> for U32<O>

where O: ByteOrder,

type Output = U32<O>

impl<O> Sub<u64> for U64<O>

where O: ByteOrder,

type Output = U64<O>

impl<O> Sub<u128> for zerocopy::byteorder::U128<O>

where O: ByteOrder,

type Output = U128<O>

impl<O> Sub<usize> for Usize<O>

where O: ByteOrder,

type Output = Usize<O>

impl<O> Sub<F32<O>> for f32

where O: ByteOrder,

type Output = F32<O>

impl<O> Sub<F64<O>> for f64

where O: ByteOrder,

type Output = F64<O>

impl<O> Sub<I16<O>> for i16

where O: ByteOrder,

type Output = I16<O>

impl<O> Sub<I32<O>> for i32

where O: ByteOrder,

type Output = I32<O>

impl<O> Sub<I64<O>> for i64

where O: ByteOrder,

type Output = I64<O>

impl<O> Sub<I128<O>> for i128

where O: ByteOrder,

type Output = I128<O>

impl<O> Sub<Isize<O>> for isize

where O: ByteOrder,

type Output = Isize<O>

impl<O> Sub<U16<O>> for u16

where O: ByteOrder,

type Output = U16<O>

impl<O> Sub<U32<O>> for u32

where O: ByteOrder,

type Output = U32<O>

impl<O> Sub<U64<O>> for u64

where O: ByteOrder,

type Output = U64<O>

impl<O> Sub<U128<O>> for u128

where O: ByteOrder,

type Output = U128<O>

impl<O> Sub<Usize<O>> for usize

where O: ByteOrder,

type Output = Usize<O>

impl<T> Sub<T> for U256

where T: Into<U256>,

type Output = U256

impl<T> Sub<T> for U512

where T: Into<U512>,

type Output = U512

impl<T> Sub<T> for primitive_types::U128

where T: Into<U128>,

type Output = U128

impl<T, A> Sub<&BTreeSet<T, A>> for &BTreeSet<T, A>

where T: Ord + Clone, A: Allocator + Clone,

type Output = BTreeSet<T, A>

impl<T, D> Sub for TypeWithDefault<T, D>

where T: Sub<Output = T>, D: Get<T>,

type Output = TypeWithDefault<T, D>

impl<T, S> Sub<&HashSet<T, S>> for &std::collections::hash::set::HashSet<T, S>

where T: Eq + Hash + Clone, S: BuildHasher + Default,

type Output = HashSet<T, S>

impl<T, S> Sub<&AHashSet<T, S>> for &AHashSet<T, S>

where T: Eq + Hash + Clone, S: BuildHasher + Default,

type Output = AHashSet<T, S>

impl<T, S> Sub<&HashSet<T, S>> for &hashbrown::set::HashSet<T, S>

where T: Eq + Hash + Clone, S: BuildHasher + Default,

type Output = HashSet<T, S>

impl<T, S, A> Sub<&HashSet<T, S, A>> for &hashbrown::set::HashSet<T, S, A>

where T: Eq + Hash + Clone, S: BuildHasher + Default, A: Allocator + Default,

type Output = HashSet<T, S, A>

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

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

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<Output = Simd<T, N>>,

type Output = Simd<T, N>

impl<U> Sub<B1> for UInt<U, B0>

where U: Unsigned + Sub<B1>, <U as Sub<B1>>::Output: Unsigned,

UInt<U, B0> - B1 = UInt<U - B1, B1>

type Output = UInt<<U as Sub<B1>>::Output, B1>

impl<U> Sub<NInt<U>> for Z0

where U: Unsigned + NonZero,

Z0 - N = P

type Output = PInt<U>

impl<U> Sub<PInt<U>> for Z0

where U: Unsigned + NonZero,

Z0 - P = N

type Output = NInt<U>

impl<U> Sub<Z0> for NInt<U>

where U: Unsigned + NonZero,

NInt - Z0 = NInt

type Output = NInt<U>

impl<U> Sub<Z0> for PInt<U>

where U: Unsigned + NonZero,

PInt - Z0 = PInt

type Output = PInt<U>

impl<U, B> Sub<B0> for UInt<U, B>

where U: Unsigned, B: Bit,

UInt - B0 = UInt

type Output = UInt<U, B>

impl<U, B> Sub<B1> for UInt<UInt<U, B>, B1>

where U: Unsigned, B: Bit,

UInt<U, B1> - B1 = UInt<U, B0>

type Output = UInt<UInt<U, B>, B0>

impl<Ul, Bl, Ur> Sub<Ur> for UInt<Ul, Bl>

where Ul: Unsigned, Bl: Bit, Ur: Unsigned, UInt<Ul, Bl>: PrivateSub<Ur>, <UInt<Ul, Bl> as PrivateSub<Ur>>::Output: Trim,

Subtracting unsigned integers. We just do our PrivateSub and then Trim the output.

type Output = <<UInt<Ul, Bl> as PrivateSub<Ur>>::Output as Trim>::Output

impl<Ul, Ur> Sub<NInt<Ur>> for NInt<Ul>

where Ul: Unsigned + NonZero, Ur: Unsigned + NonZero + Cmp<Ul> + PrivateIntegerAdd<<Ur as Cmp<Ul>>::Output, Ul>,

N(Ul) - N(Ur): We resolve this with our PrivateAdd

type Output = <Ur as PrivateIntegerAdd<<Ur as Cmp<Ul>>::Output, Ul>>::Output

impl<Ul, Ur> Sub<NInt<Ur>> for PInt<Ul>

where Ul: Unsigned + NonZero + Add<Ur>, Ur: Unsigned + NonZero, <Ul as Add<Ur>>::Output: Unsigned + NonZero,

P(Ul) - N(Ur) = P(Ul + Ur)

type Output = PInt<<Ul as Add<Ur>>::Output>

impl<Ul, Ur> Sub<PInt<Ur>> for NInt<Ul>

where Ul: Unsigned + NonZero + Add<Ur>, Ur: Unsigned + NonZero, <Ul as Add<Ur>>::Output: Unsigned + NonZero,

N(Ul) - P(Ur) = N(Ul + Ur)

type Output = NInt<<Ul as Add<Ur>>::Output>

impl<Ul, Ur> Sub<PInt<Ur>> for PInt<Ul>

where Ul: Unsigned + NonZero + Cmp<Ur> + PrivateIntegerAdd<<Ul as Cmp<Ur>>::Output, Ur>, Ur: Unsigned + NonZero,

P(Ul) - P(Ur): We resolve this with our PrivateAdd

type Output = <Ul as PrivateIntegerAdd<<Ul as Cmp<Ur>>::Output, Ur>>::Output

impl<Vl, Al, Vr, Ar> Sub<TArr<Vr, Ar>> for TArr<Vl, Al>

where Vl: Sub<Vr>, Al: Sub<Ar>,

type Output = TArr<<Vl as Sub<Vr>>::Output, <Al as Sub<Ar>>::Output>

impl<const LIMBS: usize> Sub for Checked<Uint<LIMBS>>

type Output = Checked<Uint<LIMBS>>

impl<const LIMBS: usize> Sub for DynResidue<LIMBS>

type Output = DynResidue<LIMBS>

impl<const LIMBS: usize> Sub for crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const LIMBS: usize> Sub<&Checked<Uint<LIMBS>>> for &Checked<Uint<LIMBS>>

type Output = Checked<Uint<LIMBS>>

impl<const LIMBS: usize> Sub<&Checked<Uint<LIMBS>>> for Checked<Uint<LIMBS>>

type Output = Checked<Uint<LIMBS>>

impl<const LIMBS: usize> Sub<&DynResidue<LIMBS>> for &DynResidue<LIMBS>

type Output = DynResidue<LIMBS>

impl<const LIMBS: usize> Sub<&DynResidue<LIMBS>> for DynResidue<LIMBS>

type Output = DynResidue<LIMBS>

impl<const LIMBS: usize> Sub<&Wrapping<Uint<LIMBS>>> for &crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const LIMBS: usize> Sub<&Wrapping<Uint<LIMBS>>> for crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

impl<const LIMBS: usize> Sub<Checked<Uint<LIMBS>>> for &Checked<Uint<LIMBS>>

type Output = Checked<Uint<LIMBS>>

impl<const LIMBS: usize> Sub<DynResidue<LIMBS>> for &DynResidue<LIMBS>

type Output = DynResidue<LIMBS>

impl<const LIMBS: usize> Sub<Wrapping<Uint<LIMBS>>> for &crypto_bigint::wrapping::Wrapping<Uint<LIMBS>>

type Output = Wrapping<Uint<LIMBS>>

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

where f32: SimdElement,

type Output = Simd<f32, N>

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

where f64: SimdElement,

type Output = Simd<f64, N>

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

where i8: SimdElement,

type Output = Simd<i8, N>

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

where i16: SimdElement,

type Output = Simd<i16, N>

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

where i32: SimdElement,

type Output = Simd<i32, N>

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

where i64: SimdElement,

type Output = Simd<i64, N>

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

where isize: SimdElement,

type Output = Simd<isize, N>

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

where u8: SimdElement,

type Output = Simd<u8, N>

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

where u16: SimdElement,

type Output = Simd<u16, N>

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

where u32: SimdElement,

type Output = Simd<u32, N>

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

where u64: SimdElement,

type Output = Simd<u64, N>

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

where usize: SimdElement,

type Output = Simd<usize, N>