Trait Add

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

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

The addition operator +.

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

Examples

Addable points

use std::ops::Add;

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

impl Add for Point {
    type Output = Self;

    fn add(self, other: Self) -> Self {
        Self {
            x: self.x + other.x,
            y: self.y + other.y,
        }
    }
}

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

Implementing Add with generics

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

use std::ops::Add;

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

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

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

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

Required Associated Types

type Output

The resulting type after applying the + operator.

Required Methods

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

Performs the + operation.

Example

assert_eq!(12 + 1, 13);

Implementors

impl Add for f16

type Output = f16

impl Add for f32

type Output = f32

impl Add for f64

type Output = f64

impl Add for f128

type Output = f128

impl Add for i8

type Output = i8

impl Add for i16

type Output = i16

impl Add for i32

type Output = i32

impl Add for i64

type Output = i64

impl Add for i128

type Output = i128

impl Add for isize

type Output = isize

impl Add for u8

type Output = u8

impl Add for u16

type Output = u16

impl Add for u32

type Output = u32

impl Add for u64

type Output = u64

impl Add for u128

type Output = u128

impl Add for usize

type Output = usize

impl Add for Assume

type Output = Assume

impl Add for Decimal

type Output = Decimal

impl Add for I192

type Output = I192

impl Add for I256

type Output = I256

impl Add for I320

type Output = I320

impl Add for I384

type Output = I384

impl Add for I448

type Output = I448

impl Add for I512

type Output = I512

impl Add for I768

type Output = I768

impl Add for PreciseDecimal

type Output = PreciseDecimal

impl Add for U192

type Output = U192

impl Add for U256

type Output = U256

impl Add for U320

type Output = U320

impl Add for U384

type Output = U384

impl Add for U448

type Output = U448

impl Add for U512

type Output = U512

impl Add for U768

type Output = U768

impl Add for Saturating<i8>

type Output = Saturating<i8>

impl Add for Saturating<i16>

type Output = Saturating<i16>

impl Add for Saturating<i32>

type Output = Saturating<i32>

impl Add for Saturating<i64>

type Output = Saturating<i64>

impl Add for Saturating<i128>

type Output = Saturating<i128>

impl Add for Saturating<isize>

type Output = Saturating<isize>

impl Add for Saturating<u8>

type Output = Saturating<u8>

impl Add for Saturating<u16>

type Output = Saturating<u16>

impl Add for Saturating<u32>

type Output = Saturating<u32>

impl Add for Saturating<u64>

type Output = Saturating<u64>

impl Add for Saturating<u128>

type Output = Saturating<u128>

impl Add for Saturating<usize>

type Output = Saturating<usize>

impl Add for Wrapping<i8>

type Output = Wrapping<i8>

impl Add for Wrapping<i16>

type Output = Wrapping<i16>

impl Add for Wrapping<i32>

type Output = Wrapping<i32>

impl Add for Wrapping<i64>

type Output = Wrapping<i64>

impl Add for Wrapping<i128>

type Output = Wrapping<i128>

impl Add for Wrapping<isize>

type Output = Wrapping<isize>

impl Add for Wrapping<u8>

type Output = Wrapping<u8>

impl Add for Wrapping<u16>

type Output = Wrapping<u16>

impl Add for Wrapping<u32>

type Output = Wrapping<u32>

impl Add for Wrapping<u64>

type Output = Wrapping<u64>

impl Add for Wrapping<u128>

type Output = Wrapping<u128>

impl Add for Wrapping<usize>

type Output = Wrapping<usize>

impl Add for Duration

type Output = Duration

impl Add for EdwardsPoint

type Output = EdwardsPoint

impl Add for RistrettoPoint

type Output = RistrettoPoint

impl Add for Scalar

type Output = Scalar

impl Add for BigInt

type Output = BigInt

impl Add for BigUint

type Output = BigUint

impl Add for Timespec

type Output = Timespec

impl Add for ATerm

type Output = ATerm

impl Add<&f16> for &f16

type Output = <f16 as Add>::Output

impl Add<&f16> for f16

type Output = <f16 as Add>::Output

impl Add<&f32> for &f32

type Output = <f32 as Add>::Output

impl Add<&f32> for f32

type Output = <f32 as Add>::Output

impl Add<&f64> for &f64

type Output = <f64 as Add>::Output

impl Add<&f64> for f64

type Output = <f64 as Add>::Output

impl Add<&f128> for &f128

type Output = <f128 as Add>::Output

impl Add<&f128> for f128

type Output = <f128 as Add>::Output

impl Add<&i8> for &i8

type Output = <i8 as Add>::Output

impl Add<&i8> for &BigInt

type Output = BigInt

impl Add<&i8> for i8

type Output = <i8 as Add>::Output

impl Add<&i8> for BigInt

type Output = BigInt

impl Add<&i16> for &i16

type Output = <i16 as Add>::Output

impl Add<&i16> for &BigInt

type Output = BigInt

impl Add<&i16> for i16

type Output = <i16 as Add>::Output

impl Add<&i16> for BigInt

type Output = BigInt

impl Add<&i32> for &i32

type Output = <i32 as Add>::Output

impl Add<&i32> for &BigInt

type Output = BigInt

impl Add<&i32> for i32

type Output = <i32 as Add>::Output

impl Add<&i32> for BigInt

type Output = BigInt

impl Add<&i64> for &i64

type Output = <i64 as Add>::Output

impl Add<&i64> for &BigInt

type Output = BigInt

impl Add<&i64> for i64

type Output = <i64 as Add>::Output

impl Add<&i64> for BigInt

type Output = BigInt

impl Add<&i128> for &i128

type Output = <i128 as Add>::Output

impl Add<&i128> for &BigInt

type Output = BigInt

impl Add<&i128> for i128

type Output = <i128 as Add>::Output

impl Add<&i128> for BigInt

type Output = BigInt

impl Add<&isize> for &isize

type Output = <isize as Add>::Output

impl Add<&isize> for &BigInt

type Output = BigInt

impl Add<&isize> for isize

type Output = <isize as Add>::Output

impl Add<&isize> for BigInt

type Output = BigInt

impl Add<&str> for String

Implements the + operator for concatenating two strings.

This consumes the String on the left-hand side and re-uses its buffer (growing it if necessary). This is done to avoid allocating a new String and copying the entire contents on every operation, which would lead to O(n^2) running time when building an n-byte string by repeated concatenation.

The string on the right-hand side is only borrowed; its contents are copied into the returned String.

Examples

Concatenating two Strings takes the first by value and borrows the second:

let a = String::from("hello");
let b = String::from(" world");
let c = a + &b;
// `a` is moved and can no longer be used here.

If you want to keep using the first String, you can clone it and append to the clone instead:

let a = String::from("hello");
let b = String::from(" world");
let c = a.clone() + &b;
// `a` is still valid here.

Concatenating &str slices can be done by converting the first to a String:

let a = "hello";
let b = " world";
let c = a.to_string() + b;

type Output = String

impl Add<&u8> for &u8

type Output = <u8 as Add>::Output

impl Add<&u8> for &BigInt

type Output = BigInt

impl Add<&u8> for &BigUint

type Output = BigUint

impl Add<&u8> for u8

type Output = <u8 as Add>::Output

impl Add<&u8> for BigInt

type Output = BigInt

impl Add<&u8> for BigUint

type Output = BigUint

impl Add<&u16> for &u16

type Output = <u16 as Add>::Output

impl Add<&u16> for &BigInt

type Output = BigInt

impl Add<&u16> for &BigUint

type Output = BigUint

impl Add<&u16> for u16

type Output = <u16 as Add>::Output

impl Add<&u16> for BigInt

type Output = BigInt

impl Add<&u16> for BigUint

type Output = BigUint

impl Add<&u32> for &u32

type Output = <u32 as Add>::Output

impl Add<&u32> for &BigInt

type Output = BigInt

impl Add<&u32> for &BigUint

type Output = BigUint

impl Add<&u32> for u32

type Output = <u32 as Add>::Output

impl Add<&u32> for BigInt

type Output = BigInt

impl Add<&u32> for BigUint

type Output = BigUint

impl Add<&u64> for &u64

type Output = <u64 as Add>::Output

impl Add<&u64> for &BigInt

type Output = BigInt

impl Add<&u64> for &BigUint

type Output = BigUint

impl Add<&u64> for u64

type Output = <u64 as Add>::Output

impl Add<&u64> for BigInt

type Output = BigInt

impl Add<&u64> for BigUint

type Output = BigUint

impl Add<&u128> for &u128

type Output = <u128 as Add>::Output

impl Add<&u128> for &BigInt

type Output = BigInt

impl Add<&u128> for &BigUint

type Output = BigUint

impl Add<&u128> for u128

type Output = <u128 as Add>::Output

impl Add<&u128> for BigInt

type Output = BigInt

impl Add<&u128> for BigUint

type Output = BigUint

impl Add<&usize> for &usize

type Output = <usize as Add>::Output

impl Add<&usize> for &BigInt

type Output = BigInt

impl Add<&usize> for &BigUint

type Output = BigUint

impl Add<&usize> for usize

type Output = <usize as Add>::Output

impl Add<&usize> for BigInt

type Output = BigInt

impl Add<&usize> for BigUint

type Output = BigUint

impl Add<&I192> for &I192

type Output = <I192 as Add>::Output

impl Add<&I192> for I192

type Output = <I192 as Add>::Output

impl Add<&I256> for &I256

type Output = <I256 as Add>::Output

impl Add<&I256> for I256

type Output = <I256 as Add>::Output

impl Add<&I320> for &I320

type Output = <I320 as Add>::Output

impl Add<&I320> for I320

type Output = <I320 as Add>::Output

impl Add<&I384> for &I384

type Output = <I384 as Add>::Output

impl Add<&I384> for I384

type Output = <I384 as Add>::Output

impl Add<&I448> for &I448

type Output = <I448 as Add>::Output

impl Add<&I448> for I448

type Output = <I448 as Add>::Output

impl Add<&I512> for &I512

type Output = <I512 as Add>::Output

impl Add<&I512> for I512

type Output = <I512 as Add>::Output

impl Add<&I768> for &I768

type Output = <I768 as Add>::Output

impl Add<&I768> for I768

type Output = <I768 as Add>::Output

impl Add<&U192> for &U192

type Output = <U192 as Add>::Output

impl Add<&U192> for U192

type Output = <U192 as Add>::Output

impl Add<&U256> for &U256

type Output = <U256 as Add>::Output

impl Add<&U256> for U256

type Output = <U256 as Add>::Output

impl Add<&U320> for &U320

type Output = <U320 as Add>::Output

impl Add<&U320> for U320

type Output = <U320 as Add>::Output

impl Add<&U384> for &U384

type Output = <U384 as Add>::Output

impl Add<&U384> for U384

type Output = <U384 as Add>::Output

impl Add<&U448> for &U448

type Output = <U448 as Add>::Output

impl Add<&U448> for U448

type Output = <U448 as Add>::Output

impl Add<&U512> for &U512

type Output = <U512 as Add>::Output

impl Add<&U512> for U512

type Output = <U512 as Add>::Output

impl Add<&U768> for &U768

type Output = <U768 as Add>::Output

impl Add<&U768> for U768

type Output = <U768 as Add>::Output

impl Add<&Saturating<i8>> for &Saturating<i8>

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

impl Add<&Saturating<i8>> for Saturating<i8>

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

impl Add<&Saturating<i16>> for &Saturating<i16>

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

impl Add<&Saturating<i16>> for Saturating<i16>

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

impl Add<&Saturating<i32>> for &Saturating<i32>

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

impl Add<&Saturating<i32>> for Saturating<i32>

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

impl Add<&Saturating<i64>> for &Saturating<i64>

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

impl Add<&Saturating<i64>> for Saturating<i64>

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

impl Add<&Saturating<i128>> for &Saturating<i128>

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

impl Add<&Saturating<i128>> for Saturating<i128>

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

impl Add<&Saturating<isize>> for &Saturating<isize>

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

impl Add<&Saturating<isize>> for Saturating<isize>

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

impl Add<&Saturating<u8>> for &Saturating<u8>

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

impl Add<&Saturating<u8>> for Saturating<u8>

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

impl Add<&Saturating<u16>> for &Saturating<u16>

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

impl Add<&Saturating<u16>> for Saturating<u16>

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

impl Add<&Saturating<u32>> for &Saturating<u32>

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

impl Add<&Saturating<u32>> for Saturating<u32>

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

impl Add<&Saturating<u64>> for &Saturating<u64>

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

impl Add<&Saturating<u64>> for Saturating<u64>

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

impl Add<&Saturating<u128>> for &Saturating<u128>

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

impl Add<&Saturating<u128>> for Saturating<u128>

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

impl Add<&Saturating<usize>> for &Saturating<usize>

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

impl Add<&Saturating<usize>> for Saturating<usize>

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

impl Add<&Wrapping<i8>> for &Wrapping<i8>

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

impl Add<&Wrapping<i8>> for Wrapping<i8>

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

impl Add<&Wrapping<i16>> for &Wrapping<i16>

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

impl Add<&Wrapping<i16>> for Wrapping<i16>

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

impl Add<&Wrapping<i32>> for &Wrapping<i32>

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

impl Add<&Wrapping<i32>> for Wrapping<i32>

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

impl Add<&Wrapping<i64>> for &Wrapping<i64>

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

impl Add<&Wrapping<i64>> for Wrapping<i64>

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

impl Add<&Wrapping<i128>> for &Wrapping<i128>

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

impl Add<&Wrapping<i128>> for Wrapping<i128>

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

impl Add<&Wrapping<isize>> for &Wrapping<isize>

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

impl Add<&Wrapping<isize>> for Wrapping<isize>

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

impl Add<&Wrapping<u8>> for &Wrapping<u8>

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

impl Add<&Wrapping<u8>> for Wrapping<u8>

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

impl Add<&Wrapping<u16>> for &Wrapping<u16>

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

impl Add<&Wrapping<u16>> for Wrapping<u16>

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

impl Add<&Wrapping<u32>> for &Wrapping<u32>

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

impl Add<&Wrapping<u32>> for Wrapping<u32>

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

impl Add<&Wrapping<u64>> for &Wrapping<u64>

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

impl Add<&Wrapping<u64>> for Wrapping<u64>

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

impl Add<&Wrapping<u128>> for &Wrapping<u128>

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

impl Add<&Wrapping<u128>> for Wrapping<u128>

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

impl Add<&Wrapping<usize>> for &Wrapping<usize>

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

impl Add<&Wrapping<usize>> for Wrapping<usize>

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

impl Add<&BigInt> for &i8

type Output = BigInt

impl Add<&BigInt> for &i16

type Output = BigInt

impl Add<&BigInt> for &i32

type Output = BigInt

impl Add<&BigInt> for &i64

type Output = BigInt

impl Add<&BigInt> for &i128

type Output = BigInt

impl Add<&BigInt> for &isize

type Output = BigInt

impl Add<&BigInt> for &u8

type Output = BigInt

impl Add<&BigInt> for &u16

type Output = BigInt

impl Add<&BigInt> for &u32

type Output = BigInt

impl Add<&BigInt> for &u64

type Output = BigInt

impl Add<&BigInt> for &u128

type Output = BigInt

impl Add<&BigInt> for &usize

type Output = BigInt

impl Add<&BigInt> for &BigInt

type Output = BigInt

impl Add<&BigInt> for i8

type Output = BigInt

impl Add<&BigInt> for i16

type Output = BigInt

impl Add<&BigInt> for i32

type Output = BigInt

impl Add<&BigInt> for i64

type Output = BigInt

impl Add<&BigInt> for i128

type Output = BigInt

impl Add<&BigInt> for isize

type Output = BigInt

impl Add<&BigInt> for u8

type Output = BigInt

impl Add<&BigInt> for u16

type Output = BigInt

impl Add<&BigInt> for u32

type Output = BigInt

impl Add<&BigInt> for u64

type Output = BigInt

impl Add<&BigInt> for u128

type Output = BigInt

impl Add<&BigInt> for usize

type Output = BigInt

impl Add<&BigInt> for BigInt

type Output = BigInt

impl Add<&BigUint> for &u8

type Output = BigUint

impl Add<&BigUint> for &u16

type Output = BigUint

impl Add<&BigUint> for &u32

type Output = BigUint

impl Add<&BigUint> for &u64

type Output = BigUint

impl Add<&BigUint> for &u128

type Output = BigUint

impl Add<&BigUint> for &usize

type Output = BigUint

impl Add<&BigUint> for &BigUint

type Output = BigUint

impl Add<&BigUint> for u8

type Output = BigUint

impl Add<&BigUint> for u16

type Output = BigUint

impl Add<&BigUint> for u32

type Output = BigUint

impl Add<&BigUint> for u64

type Output = BigUint

impl Add<&BigUint> for u128

type Output = BigUint

impl Add<&BigUint> for usize

type Output = BigUint

impl Add<&BigUint> for BigUint

type Output = BigUint

impl Add<i8> for &BigInt

type Output = BigInt

impl Add<i8> for Decimal

type Output = Decimal

impl Add<i8> for PreciseDecimal

type Output = PreciseDecimal

impl Add<i8> for BigInt

type Output = BigInt

impl Add<i16> for &BigInt

type Output = BigInt

impl Add<i16> for Decimal

type Output = Decimal

impl Add<i16> for PreciseDecimal

type Output = PreciseDecimal

impl Add<i16> for BigInt

type Output = BigInt

impl Add<i32> for &BigInt

type Output = BigInt

impl Add<i32> for Decimal

type Output = Decimal

impl Add<i32> for PreciseDecimal

type Output = PreciseDecimal

impl Add<i32> for BigInt

type Output = BigInt

impl Add<i64> for &BigInt

type Output = BigInt

impl Add<i64> for Decimal

type Output = Decimal

impl Add<i64> for PreciseDecimal

type Output = PreciseDecimal

impl Add<i64> for BigInt

type Output = BigInt

impl Add<i128> for &BigInt

type Output = BigInt

impl Add<i128> for Decimal

type Output = Decimal

impl Add<i128> for PreciseDecimal

type Output = PreciseDecimal

impl Add<i128> for BigInt

type Output = BigInt

impl Add<isize> for &BigInt

type Output = BigInt

impl Add<isize> for Decimal

type Output = Decimal

impl Add<isize> for PreciseDecimal

type Output = PreciseDecimal

impl Add<isize> for BigInt

type Output = BigInt

impl Add<u8> for &BigInt

type Output = BigInt

impl Add<u8> for &BigUint

type Output = BigUint

impl Add<u8> for Decimal

type Output = Decimal

impl Add<u8> for PreciseDecimal

type Output = PreciseDecimal

impl Add<u8> for BigInt

type Output = BigInt

impl Add<u8> for BigUint

type Output = BigUint

impl Add<u16> for &BigInt

type Output = BigInt

impl Add<u16> for &BigUint

type Output = BigUint

impl Add<u16> for Decimal

type Output = Decimal

impl Add<u16> for PreciseDecimal

type Output = PreciseDecimal

impl Add<u16> for BigInt

type Output = BigInt

impl Add<u16> for BigUint

type Output = BigUint

impl Add<u32> for &BigInt

type Output = BigInt

impl Add<u32> for &BigUint

type Output = BigUint

impl Add<u32> for Decimal

type Output = Decimal

impl Add<u32> for PreciseDecimal

type Output = PreciseDecimal

impl Add<u32> for BigInt

type Output = BigInt

impl Add<u32> for BigUint

type Output = BigUint

impl Add<u64> for &BigInt

type Output = BigInt

impl Add<u64> for &BigUint

type Output = BigUint

impl Add<u64> for Decimal

type Output = Decimal

impl Add<u64> for PreciseDecimal

type Output = PreciseDecimal

impl Add<u64> for BigInt

type Output = BigInt

impl Add<u64> for BigUint

type Output = BigUint

impl Add<u128> for &BigInt

type Output = BigInt

impl Add<u128> for &BigUint

type Output = BigUint

impl Add<u128> for Decimal

type Output = Decimal

impl Add<u128> for PreciseDecimal

type Output = PreciseDecimal

impl Add<u128> for BigInt

type Output = BigInt

impl Add<u128> for BigUint

type Output = BigUint

impl Add<usize> for &BigInt

type Output = BigInt

impl Add<usize> for &BigUint

type Output = BigUint

impl Add<usize> for Decimal

type Output = Decimal

impl Add<usize> for PreciseDecimal

type Output = PreciseDecimal

impl Add<usize> for BigInt

type Output = BigInt

impl Add<usize> for BigUint

type Output = BigUint

impl Add<Decimal> for i8

type Output = Decimal

impl Add<Decimal> for i16

type Output = Decimal

impl Add<Decimal> for i32

type Output = Decimal

impl Add<Decimal> for i64

type Output = Decimal

impl Add<Decimal> for i128

type Output = Decimal

impl Add<Decimal> for isize

type Output = Decimal

impl Add<Decimal> for u8

type Output = Decimal

impl Add<Decimal> for u16

type Output = Decimal

impl Add<Decimal> for u32

type Output = Decimal

impl Add<Decimal> for u64

type Output = Decimal

impl Add<Decimal> for u128

type Output = Decimal

impl Add<Decimal> for usize

type Output = Decimal

impl Add<Decimal> for I192

type Output = Decimal

impl Add<Decimal> for I256

type Output = Decimal

impl Add<Decimal> for I320

type Output = Decimal

impl Add<Decimal> for I448

type Output = Decimal

impl Add<Decimal> for I512

type Output = Decimal

impl Add<Decimal> for PreciseDecimal

type Output = PreciseDecimal

impl Add<Decimal> for U192

type Output = Decimal

impl Add<Decimal> for U256

type Output = Decimal

impl Add<Decimal> for U320

type Output = Decimal

impl Add<Decimal> for U448

type Output = Decimal

impl Add<Decimal> for U512

type Output = Decimal

impl Add<I192> for Decimal

type Output = Decimal

impl Add<I192> for PreciseDecimal

type Output = PreciseDecimal

impl Add<I256> for Decimal

type Output = Decimal

impl Add<I256> for PreciseDecimal

type Output = PreciseDecimal

impl Add<I320> for Decimal

type Output = Decimal

impl Add<I320> for PreciseDecimal

type Output = PreciseDecimal

impl Add<I448> for Decimal

type Output = Decimal

impl Add<I448> for PreciseDecimal

type Output = PreciseDecimal

impl Add<I512> for Decimal

type Output = Decimal

impl Add<I512> for PreciseDecimal

type Output = PreciseDecimal

impl Add<PreciseDecimal> for i8

type Output = PreciseDecimal

impl Add<PreciseDecimal> for i16

type Output = PreciseDecimal

impl Add<PreciseDecimal> for i32

type Output = PreciseDecimal

impl Add<PreciseDecimal> for i64

type Output = PreciseDecimal

impl Add<PreciseDecimal> for i128

type Output = PreciseDecimal

impl Add<PreciseDecimal> for isize

type Output = PreciseDecimal

impl Add<PreciseDecimal> for u8

type Output = PreciseDecimal

impl Add<PreciseDecimal> for u16

type Output = PreciseDecimal

impl Add<PreciseDecimal> for u32

type Output = PreciseDecimal

impl Add<PreciseDecimal> for u64

type Output = PreciseDecimal

impl Add<PreciseDecimal> for u128

type Output = PreciseDecimal

impl Add<PreciseDecimal> for usize

type Output = PreciseDecimal

impl Add<PreciseDecimal> for Decimal

type Output = PreciseDecimal

impl Add<PreciseDecimal> for I192

type Output = PreciseDecimal

impl Add<PreciseDecimal> for I256

type Output = PreciseDecimal

impl Add<PreciseDecimal> for I320

type Output = PreciseDecimal

impl Add<PreciseDecimal> for I448

type Output = PreciseDecimal

impl Add<PreciseDecimal> for I512

type Output = PreciseDecimal

impl Add<PreciseDecimal> for U192

type Output = PreciseDecimal

impl Add<PreciseDecimal> for U256

type Output = PreciseDecimal

impl Add<PreciseDecimal> for U320

type Output = PreciseDecimal

impl Add<PreciseDecimal> for U448

type Output = PreciseDecimal

impl Add<PreciseDecimal> for U512

type Output = PreciseDecimal

impl Add<U192> for Decimal

type Output = Decimal

impl Add<U192> for PreciseDecimal

type Output = PreciseDecimal

impl Add<U256> for Decimal

type Output = Decimal

impl Add<U256> for PreciseDecimal

type Output = PreciseDecimal

impl Add<U320> for Decimal

type Output = Decimal

impl Add<U320> for PreciseDecimal

type Output = PreciseDecimal

impl Add<U448> for Decimal

type Output = Decimal

impl Add<U448> for PreciseDecimal

type Output = PreciseDecimal

impl Add<U512> for Decimal

type Output = Decimal

impl Add<U512> for PreciseDecimal

type Output = PreciseDecimal

impl Add<Duration> for Instant

type Output = Instant

impl Add<Duration> for SystemTime

type Output = SystemTime

impl Add<BigInt> for &i8

type Output = BigInt

impl Add<BigInt> for &i16

type Output = BigInt

impl Add<BigInt> for &i32

type Output = BigInt

impl Add<BigInt> for &i64

type Output = BigInt

impl Add<BigInt> for &i128

type Output = BigInt

impl Add<BigInt> for &isize

type Output = BigInt

impl Add<BigInt> for &u8

type Output = BigInt

impl Add<BigInt> for &u16

type Output = BigInt

impl Add<BigInt> for &u32

type Output = BigInt

impl Add<BigInt> for &u64

type Output = BigInt

impl Add<BigInt> for &u128

type Output = BigInt

impl Add<BigInt> for &usize

type Output = BigInt

impl Add<BigInt> for &BigInt

type Output = BigInt

impl Add<BigInt> for i8

type Output = BigInt

impl Add<BigInt> for i16

type Output = BigInt

impl Add<BigInt> for i32

type Output = BigInt

impl Add<BigInt> for i64

type Output = BigInt

impl Add<BigInt> for i128

type Output = BigInt

impl Add<BigInt> for isize

type Output = BigInt

impl Add<BigInt> for u8

type Output = BigInt

impl Add<BigInt> for u16

type Output = BigInt

impl Add<BigInt> for u32

type Output = BigInt

impl Add<BigInt> for u64

type Output = BigInt

impl Add<BigInt> for u128

type Output = BigInt

impl Add<BigInt> for usize

type Output = BigInt

impl Add<BigUint> for &u8

type Output = BigUint

impl Add<BigUint> for &u16

type Output = BigUint

impl Add<BigUint> for &u32

type Output = BigUint

impl Add<BigUint> for &u64

type Output = BigUint

impl Add<BigUint> for &u128

type Output = BigUint

impl Add<BigUint> for &usize

type Output = BigUint

impl Add<BigUint> for &BigUint

type Output = BigUint

impl Add<BigUint> for u8

type Output = BigUint

impl Add<BigUint> for u16

type Output = BigUint

impl Add<BigUint> for u32

type Output = BigUint

impl Add<BigUint> for u64

type Output = BigUint

impl Add<BigUint> for u128

type Output = BigUint

impl Add<BigUint> for usize

type Output = BigUint

impl Add<B0> for UTerm

UTerm + B0 = UTerm

type Output = UTerm

impl Add<B1> for UTerm

UTerm + B1 = UInt<UTerm, B1>

type Output = UInt<UTerm, B1>

impl<'a> Add for Cow<'a, str>

type Output = Cow<'a, str>

impl<'a> Add<&'a str> for Cow<'a, str>

type Output = Cow<'a, str>

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

type Output = <f16 as Add>::Output

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

type Output = <f32 as Add>::Output

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

type Output = <f64 as Add>::Output

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

type Output = <f128 as Add>::Output

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

type Output = <i8 as Add>::Output

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

type Output = <i16 as Add>::Output

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

type Output = <i32 as Add>::Output

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

type Output = <i64 as Add>::Output

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

type Output = <i128 as Add>::Output

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

type Output = <isize as Add>::Output

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

type Output = <u8 as Add>::Output

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

type Output = <u16 as Add>::Output

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

type Output = <u32 as Add>::Output

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

type Output = <u64 as Add>::Output

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

type Output = <u128 as Add>::Output

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

type Output = <usize as Add>::Output

impl<'a> Add<I192> for &'a I192

type Output = <I192 as Add>::Output

impl<'a> Add<I256> for &'a I256

type Output = <I256 as Add>::Output

impl<'a> Add<I320> for &'a I320

type Output = <I320 as Add>::Output

impl<'a> Add<I384> for &'a I384

type Output = <I384 as Add>::Output

impl<'a> Add<I448> for &'a I448

type Output = <I448 as Add>::Output

impl<'a> Add<I512> for &'a I512

type Output = <I512 as Add>::Output

impl<'a> Add<I768> for &'a I768

type Output = <I768 as Add>::Output

impl<'a> Add<U192> for &'a U192

type Output = <U192 as Add>::Output

impl<'a> Add<U256> for &'a U256

type Output = <U256 as Add>::Output

impl<'a> Add<U320> for &'a U320

type Output = <U320 as Add>::Output

impl<'a> Add<U384> for &'a U384

type Output = <U384 as Add>::Output

impl<'a> Add<U448> for &'a U448

type Output = <U448 as Add>::Output

impl<'a> Add<U512> for &'a U512

type Output = <U512 as Add>::Output

impl<'a> Add<U768> for &'a U768

type Output = <U768 as Add>::Output

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

type Output = EdwardsPoint

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

type Output = RistrettoPoint

impl<'a> Add<Scalar> for &'a Scalar

type Output = Scalar

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

type Output = EdwardsPoint

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

type Output = RistrettoPoint

impl<'a, 'b> Add<&'b Scalar> for &'a Scalar

type Output = Scalar

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

type Output = CompletedPoint

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

type Output = CompletedPoint

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

type Output = EdwardsPoint

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

type Output = RistrettoPoint

impl<'b> Add<&'b Scalar> for Scalar

type Output = Scalar

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

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

type Output = Simd<T, N>

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

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

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

impl<I> Add<I> for Z0

where I: Integer,

Z0 + I = I

type Output = I

impl<T> Add<T> for F32

where T: Into<F32>,

type Output = F32

impl<T> Add<T> for F64

where T: Into<F64>,

type Output = F64

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

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

type Output = Simd<T, N>

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

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

type Output = Simd<T, N>

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

where U: Unsigned,

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

type Output = UInt<U, B1>

impl<U> Add<B1> for UInt<U, B1>

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

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

type Output = UInt<<U as Add<B1>>::Output, B0>

impl<U> Add<Z0> for NInt<U>

where U: Unsigned + NonZero,

NInt + Z0 = NInt

type Output = NInt<U>

impl<U> Add<Z0> for PInt<U>

where U: Unsigned + NonZero,

PInt + Z0 = PInt

type Output = PInt<U>

impl<U> Add<U> for UTerm

where U: Unsigned,

UTerm + U = U

type Output = U

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

where U: Unsigned, B: Bit,

U + B0 = U

type Output = UInt<U, B>

impl<U, B> Add<UTerm> for UInt<U, B>

where U: Unsigned, B: Bit,

UInt<U, B> + UTerm = UInt<U, B>

type Output = UInt<U, B>

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

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

N(Ul) + N(Ur) = N(Ul + Ur)

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

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

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

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

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

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

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

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

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

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

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

P(Ul) + P(Ur) = P(Ul + Ur)

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

impl<Ul, Ur> Add<UInt<Ur, B0>> for UInt<Ul, B0>

where Ul: Unsigned + Add<Ur>, Ur: Unsigned,

UInt<Ul, B0> + UInt<Ur, B0> = UInt<Ul + Ur, B0>

type Output = UInt<<Ul as Add<Ur>>::Output, B0>

impl<Ul, Ur> Add<UInt<Ur, B0>> for UInt<Ul, B1>

where Ul: Unsigned + Add<Ur>, Ur: Unsigned,

UInt<Ul, B1> + UInt<Ur, B0> = UInt<Ul + Ur, B1>

type Output = UInt<<Ul as Add<Ur>>::Output, B1>

impl<Ul, Ur> Add<UInt<Ur, B1>> for UInt<Ul, B0>

where Ul: Unsigned + Add<Ur>, Ur: Unsigned,

UInt<Ul, B0> + UInt<Ur, B1> = UInt<Ul + Ur, B1>

type Output = UInt<<Ul as Add<Ur>>::Output, B1>

impl<Ul, Ur> Add<UInt<Ur, B1>> for UInt<Ul, B1>

where Ul: Unsigned + Add<Ur>, Ur: Unsigned, <Ul as Add<Ur>>::Output: Add<B1>,

UInt<Ul, B1> + UInt<Ur, B1> = UInt<(Ul + Ur) + B1, B0>

type Output = UInt<<<Ul as Add<Ur>>::Output as Add<B1>>::Output, B0>

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

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

type Output = Simd<f32, N>

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

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

type Output = Simd<f64, N>

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

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

type Output = Simd<i8, N>

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

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

type Output = Simd<i16, N>

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

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

type Output = Simd<i32, N>

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

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

type Output = Simd<i64, N>

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

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

type Output = Simd<isize, N>

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

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

type Output = Simd<u8, N>

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

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

type Output = Simd<u16, N>

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

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

type Output = Simd<u32, N>

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

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

type Output = Simd<u64, N>

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

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

type Output = Simd<usize, N>

impl<const N: usize> Add for BInt<N>

type Output = BInt<N>

impl<const N: usize> Add for BIntD8<N>

type Output = BIntD8<N>

impl<const N: usize> Add for BIntD16<N>

type Output = BIntD16<N>

impl<const N: usize> Add for BIntD32<N>

type Output = BIntD32<N>

impl<const N: usize> Add for BUint<N>

type Output = BUint<N>

impl<const N: usize> Add for BUintD8<N>

type Output = BUintD8<N>

impl<const N: usize> Add for BUintD16<N>

type Output = BUintD16<N>

impl<const N: usize> Add for BUintD32<N>

type Output = BUintD32<N>

impl<const N: usize> Add<&BInt<N>> for &BInt<N>

type Output = BInt<N>

impl<const N: usize> Add<&BInt<N>> for BInt<N>

type Output = BInt<N>

impl<const N: usize> Add<&BIntD8<N>> for &BIntD8<N>

type Output = BIntD8<N>

impl<const N: usize> Add<&BIntD8<N>> for BIntD8<N>

type Output = BIntD8<N>

impl<const N: usize> Add<&BIntD16<N>> for &BIntD16<N>

type Output = BIntD16<N>

impl<const N: usize> Add<&BIntD16<N>> for BIntD16<N>

type Output = BIntD16<N>

impl<const N: usize> Add<&BIntD32<N>> for &BIntD32<N>

type Output = BIntD32<N>

impl<const N: usize> Add<&BIntD32<N>> for BIntD32<N>

type Output = BIntD32<N>

impl<const N: usize> Add<&BUint<N>> for &BUint<N>

type Output = BUint<N>

impl<const N: usize> Add<&BUint<N>> for BUint<N>

type Output = BUint<N>

impl<const N: usize> Add<&BUintD8<N>> for &BUintD8<N>

type Output = BUintD8<N>

impl<const N: usize> Add<&BUintD8<N>> for BUintD8<N>

type Output = BUintD8<N>

impl<const N: usize> Add<&BUintD16<N>> for &BUintD16<N>

type Output = BUintD16<N>

impl<const N: usize> Add<&BUintD16<N>> for BUintD16<N>

type Output = BUintD16<N>

impl<const N: usize> Add<&BUintD32<N>> for &BUintD32<N>

type Output = BUintD32<N>

impl<const N: usize> Add<&BUintD32<N>> for BUintD32<N>

type Output = BUintD32<N>

impl<const N: usize> Add<u8> for BUintD8<N>

type Output = BUintD8<N>

impl<const N: usize> Add<u16> for BUintD16<N>

type Output = BUintD16<N>

impl<const N: usize> Add<u32> for BUintD32<N>

type Output = BUintD32<N>

impl<const N: usize> Add<u64> for BUint<N>

type Output = BUint<N>

impl<const N: usize> Add<BInt<N>> for &BInt<N>

type Output = BInt<N>

impl<const N: usize> Add<BIntD8<N>> for &BIntD8<N>

type Output = BIntD8<N>

impl<const N: usize> Add<BIntD16<N>> for &BIntD16<N>

type Output = BIntD16<N>

impl<const N: usize> Add<BIntD32<N>> for &BIntD32<N>

type Output = BIntD32<N>

impl<const N: usize> Add<BUint<N>> for &BUint<N>

type Output = BUint<N>

impl<const N: usize> Add<BUintD8<N>> for &BUintD8<N>

type Output = BUintD8<N>

impl<const N: usize> Add<BUintD16<N>> for &BUintD16<N>

type Output = BUintD16<N>

impl<const N: usize> Add<BUintD32<N>> for &BUintD32<N>

type Output = BUintD32<N>