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 Felt

Field addition. Never overflows/underflows.

type Output = Felt

impl Add for Assume

type Output = Assume

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 cairo_vm::with_std::num::Wrapping<i8>

type Output = Wrapping<i8>

impl Add for cairo_vm::with_std::num::Wrapping<i16>

type Output = Wrapping<i16>

impl Add for cairo_vm::with_std::num::Wrapping<i32>

type Output = Wrapping<i32>

impl Add for cairo_vm::with_std::num::Wrapping<i64>

type Output = Wrapping<i64>

impl Add for cairo_vm::with_std::num::Wrapping<i128>

type Output = Wrapping<i128>

impl Add for cairo_vm::with_std::num::Wrapping<isize>

type Output = Wrapping<isize>

impl Add for cairo_vm::with_std::num::Wrapping<u8>

type Output = Wrapping<u8>

impl Add for cairo_vm::with_std::num::Wrapping<u16>

type Output = Wrapping<u16>

impl Add for cairo_vm::with_std::num::Wrapping<u32>

type Output = Wrapping<u32>

impl Add for cairo_vm::with_std::num::Wrapping<u64>

type Output = Wrapping<u64>

impl Add for cairo_vm::with_std::num::Wrapping<u128>

type Output = Wrapping<u128>

impl Add for cairo_vm::with_std::num::Wrapping<usize>

type Output = Wrapping<usize>

impl Add for Duration

type Output = Duration

impl Add for Checked<Limb>

type Output = Checked<Limb>

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

type Output = Wrapping<Limb>

impl Add for BigInt

type Output = BigInt

impl Add for BigUint

type Output = BigUint

impl Add for udouble

type Output = udouble

impl Add for Decimal

type Output = Decimal

impl Add for ProjectivePoint

type Output = ProjectivePoint

impl Add for ATerm

type Output = ATerm

impl Add<&MaybeRelocatable> for Relocatable

Adds a MaybeRelocatable to self Cant add two relocatable values

type Output = Result<Relocatable, MathError>

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<&Felt> for &Felt

Field addition. Never overflows/underflows.

type Output = Felt

impl Add<&Felt> for u64

type Output = Option<u64>

impl Add<&Felt> for Felt

Field addition. Never overflows/underflows.

type Output = Felt

impl Add<&Felt> for Relocatable

type Output = Result<Relocatable, MathError>

impl Add<&ExecutionResources> for &ExecutionResources

type Output = ExecutionResources

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 &cairo_vm::with_std::num::Wrapping<i8>

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

impl Add<&Wrapping<i8>> for cairo_vm::with_std::num::Wrapping<i8>

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

impl Add<&Wrapping<i16>> for &cairo_vm::with_std::num::Wrapping<i16>

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

impl Add<&Wrapping<i16>> for cairo_vm::with_std::num::Wrapping<i16>

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

impl Add<&Wrapping<i32>> for &cairo_vm::with_std::num::Wrapping<i32>

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

impl Add<&Wrapping<i32>> for cairo_vm::with_std::num::Wrapping<i32>

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

impl Add<&Wrapping<i64>> for &cairo_vm::with_std::num::Wrapping<i64>

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

impl Add<&Wrapping<i64>> for cairo_vm::with_std::num::Wrapping<i64>

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

impl Add<&Wrapping<i128>> for &cairo_vm::with_std::num::Wrapping<i128>

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

impl Add<&Wrapping<i128>> for cairo_vm::with_std::num::Wrapping<i128>

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

impl Add<&Wrapping<isize>> for &cairo_vm::with_std::num::Wrapping<isize>

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

impl Add<&Wrapping<isize>> for cairo_vm::with_std::num::Wrapping<isize>

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

impl Add<&Wrapping<u8>> for &cairo_vm::with_std::num::Wrapping<u8>

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

impl Add<&Wrapping<u8>> for cairo_vm::with_std::num::Wrapping<u8>

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

impl Add<&Wrapping<u16>> for &cairo_vm::with_std::num::Wrapping<u16>

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

impl Add<&Wrapping<u16>> for cairo_vm::with_std::num::Wrapping<u16>

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

impl Add<&Wrapping<u32>> for &cairo_vm::with_std::num::Wrapping<u32>

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

impl Add<&Wrapping<u32>> for cairo_vm::with_std::num::Wrapping<u32>

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

impl Add<&Wrapping<u64>> for &cairo_vm::with_std::num::Wrapping<u64>

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

impl Add<&Wrapping<u64>> for cairo_vm::with_std::num::Wrapping<u64>

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

impl Add<&Wrapping<u128>> for &cairo_vm::with_std::num::Wrapping<u128>

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

impl Add<&Wrapping<u128>> for cairo_vm::with_std::num::Wrapping<u128>

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

impl Add<&Wrapping<usize>> for &cairo_vm::with_std::num::Wrapping<usize>

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

impl Add<&Wrapping<usize>> for cairo_vm::with_std::num::Wrapping<usize>

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

impl Add<&Checked<Limb>> for &Checked<Limb>

type Output = Checked<Limb>

impl Add<&Checked<Limb>> for Checked<Limb>

type Output = Checked<Limb>

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

type Output = Wrapping<Limb>

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

type Output = Wrapping<Limb>

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<&AffinePoint> for &ProjectivePoint

type Output = ProjectivePoint

impl Add<&ProjectivePoint> for &ProjectivePoint

type Output = ProjectivePoint

impl Add<i8> for &BigInt

type Output = BigInt

impl Add<i8> for BigInt

type Output = BigInt

impl Add<i16> for &BigInt

type Output = BigInt

impl Add<i16> for BigInt

type Output = BigInt

impl Add<i32> for &BigInt

type Output = BigInt

impl Add<i32> for Relocatable

type Output = Result<Relocatable, MathError>

impl Add<i32> for BigInt

type Output = BigInt

impl Add<i64> for &BigInt

type Output = BigInt

impl Add<i64> for BigInt

type Output = BigInt

impl Add<i128> for &BigInt

type Output = BigInt

impl Add<i128> for BigInt

type Output = BigInt

impl Add<isize> for &BigInt

type Output = BigInt

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 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 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 Relocatable

type Output = Result<Relocatable, MathError>

impl Add<u32> for BigInt

type Output = BigInt

impl Add<u32> for BigUint

type Output = BigUint

impl Add<u64> for &Felt

Field addition. Never overflows/underflows.

type Output = Felt

impl Add<u64> for &BigInt

type Output = BigInt

impl Add<u64> for &BigUint

type Output = BigUint

impl Add<u64> for Felt

Field addition. Never overflows/underflows.

type Output = Felt

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 BigInt

type Output = BigInt

impl Add<u128> for BigUint

type Output = BigUint

impl Add<u128> for udouble

type Output = udouble

impl Add<usize> for &BigInt

type Output = BigInt

impl Add<usize> for &BigUint

type Output = BigUint

impl Add<usize> for Relocatable

type Output = Result<Relocatable, MathError>

impl Add<usize> for BigInt

type Output = BigInt

impl Add<usize> for BigUint

type Output = BigUint

impl Add<Felt> for &Felt

Field addition. Never overflows/underflows.

type Output = Felt

impl Add<Duration> for Instant

type Output = Instant

impl Add<Duration> for SystemTime

type Output = SystemTime

impl Add<Checked<Limb>> for &Checked<Limb>

type Output = Checked<Limb>

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

type Output = Wrapping<Limb>

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<AffinePoint> for ProjectivePoint

type Output = ProjectivePoint

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<&'a Decimal> for Decimal

type Output = Decimal

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<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 cairo_vm::with_std::num::Wrapping<i8>

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

impl<'a> Add<Wrapping<i16>> for &'a cairo_vm::with_std::num::Wrapping<i16>

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

impl<'a> Add<Wrapping<i32>> for &'a cairo_vm::with_std::num::Wrapping<i32>

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

impl<'a> Add<Wrapping<i64>> for &'a cairo_vm::with_std::num::Wrapping<i64>

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

impl<'a> Add<Wrapping<i128>> for &'a cairo_vm::with_std::num::Wrapping<i128>

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

impl<'a> Add<Wrapping<isize>> for &'a cairo_vm::with_std::num::Wrapping<isize>

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

impl<'a> Add<Wrapping<u8>> for &'a cairo_vm::with_std::num::Wrapping<u8>

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

impl<'a> Add<Wrapping<u16>> for &'a cairo_vm::with_std::num::Wrapping<u16>

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

impl<'a> Add<Wrapping<u32>> for &'a cairo_vm::with_std::num::Wrapping<u32>

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

impl<'a> Add<Wrapping<u64>> for &'a cairo_vm::with_std::num::Wrapping<u64>

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

impl<'a> Add<Wrapping<u128>> for &'a cairo_vm::with_std::num::Wrapping<u128>

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

impl<'a> Add<Wrapping<usize>> for &'a cairo_vm::with_std::num::Wrapping<usize>

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

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

type Output = Decimal

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

type Output = Decimal

impl<'a, 'b, T, R> Add<&'b Mint<T, R>> for &'a Mint<T, R>

where T: Integer<Output = T> + Clone + for<'r> Add<&'r T>, R: Reducer<T> + Clone,

type Output = Mint<T, R>

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<F> Add for DenseMultilinearPolynomial<F>

where F: IsField, <F as IsField>::BaseType: Send + Sync,

Adds another multilinear polynomial to self. Assumes the two polynomials have the same number of variables.

type Output = Result<DenseMultilinearPolynomial<F>, &'static str>

impl<F, L> Add<&FieldElement<F>> for &Polynomial<FieldElement<L>>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<&FieldElement<F>> for Polynomial<FieldElement<L>>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<&FieldElement<L>> for &FieldElement<F>

where F: IsSubFieldOf<L>, L: IsField,

Addition operator overloading for field elements

type Output = FieldElement<L>

impl<F, L> Add<&FieldElement<L>> for FieldElement<F>

where F: IsSubFieldOf<L>, L: IsField,

type Output = FieldElement<L>

impl<F, L> Add<&Polynomial<FieldElement<L>>> for &FieldElement<F>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<&Polynomial<FieldElement<L>>> for &Polynomial<FieldElement<F>>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<&Polynomial<FieldElement<L>>> for FieldElement<F>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<&Polynomial<FieldElement<L>>> for Polynomial<FieldElement<F>>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<FieldElement<F>> for &Polynomial<FieldElement<L>>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<FieldElement<F>> for Polynomial<FieldElement<L>>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<FieldElement<L>> for &FieldElement<F>

where F: IsSubFieldOf<L>, L: IsField,

type Output = FieldElement<L>

impl<F, L> Add<FieldElement<L>> for FieldElement<F>

where F: IsSubFieldOf<L>, L: IsField,

type Output = FieldElement<L>

impl<F, L> Add<Polynomial<FieldElement<L>>> for &FieldElement<F>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<Polynomial<FieldElement<L>>> for &Polynomial<FieldElement<F>>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<Polynomial<FieldElement<L>>> for FieldElement<F>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<F, L> Add<Polynomial<FieldElement<L>>> for Polynomial<FieldElement<F>>

where L: IsField, F: IsSubFieldOf<L>,

type Output = Polynomial<FieldElement<L>>

impl<I> Add<I> for Z0

where I: Integer,

Z0 + I = I

type Output = I

impl<MOD, const LIMBS: usize> Add for Residue<MOD, LIMBS>

where MOD: ResidueParams<LIMBS>,

type Output = Residue<MOD, LIMBS>

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

where MOD: ResidueParams<LIMBS>,

type Output = Residue<MOD, LIMBS>

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

where MOD: ResidueParams<LIMBS>,

type Output = Residue<MOD, LIMBS>

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

where MOD: ResidueParams<LIMBS>,

type Output = Residue<MOD, LIMBS>

impl<O> Add for F32<O>

where O: ByteOrder,

type Output = F32<O>

impl<O> Add for F64<O>

where O: ByteOrder,

type Output = F64<O>

impl<O> Add for I16<O>

where O: ByteOrder,

type Output = I16<O>

impl<O> Add for I32<O>

where O: ByteOrder,

type Output = I32<O>

impl<O> Add for I64<O>

where O: ByteOrder,

type Output = I64<O>

impl<O> Add for I128<O>

where O: ByteOrder,

type Output = I128<O>

impl<O> Add for U16<O>

where O: ByteOrder,

type Output = U16<O>

impl<O> Add for U32<O>

where O: ByteOrder,

type Output = U32<O>

impl<O> Add for U64<O>

where O: ByteOrder,

type Output = U64<O>

impl<O> Add for U128<O>

where O: ByteOrder,

type Output = U128<O>

impl<T, R> Add for ReducedInt<T, R>

where T: PartialEq, R: Reducer<T>,

type Output = ReducedInt<T, R>

impl<T, R> Add for Mint<T, R>

where T: Integer + Clone, R: Reducer<T> + Clone,

type Output = Mint<T, R>

impl<T, R> Add<&ReducedInt<T, R>> for &ReducedInt<T, R>

where T: PartialEq + Clone, R: Reducer<T> + Clone,

type Output = ReducedInt<T, R>

impl<T, R> Add<&ReducedInt<T, R>> for ReducedInt<T, R>

where T: PartialEq + Clone, R: Reducer<T>,

type Output = ReducedInt<T, R>

impl<T, R> Add<&Mint<T, R>> for Mint<T, R>

where T: Integer<Output = T> + Clone + for<'r> Add<&'r T>, R: Reducer<T> + Clone,

type Output = Mint<T, R>

impl<T, R> Add<ReducedInt<T, R>> for &ReducedInt<T, R>

where T: PartialEq + Clone, R: Reducer<T>,

type Output = ReducedInt<T, R>

impl<T, R> Add<Mint<T, R>> for &Mint<T, R>

where T: Integer + Clone, R: Reducer<T> + Clone,

type Output = Mint<T, R>

impl<T, R> Add<T> for ReducedInt<T, R>

where T: PartialEq, R: Reducer<T>,

type Output = ReducedInt<T, R>

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 LIMBS: usize> Add for Checked<Uint<LIMBS>>

type Output = Checked<Uint<LIMBS>>

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

type Output = DynResidue<LIMBS>

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

type Output = Wrapping<Uint<LIMBS>>

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

type Output = Checked<Uint<LIMBS>>

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

type Output = Checked<Uint<LIMBS>>

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

type Output = DynResidue<LIMBS>

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

type Output = DynResidue<LIMBS>

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

type Output = Wrapping<Uint<LIMBS>>

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

type Output = Wrapping<Uint<LIMBS>>

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

type Output = Checked<Uint<LIMBS>>

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

type Output = DynResidue<LIMBS>

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

type Output = Wrapping<Uint<LIMBS>>

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 NUM_LIMBS: usize> Add for UnsignedInteger<NUM_LIMBS>

type Output = UnsignedInteger<NUM_LIMBS>

impl<const NUM_LIMBS: usize> Add<&UnsignedInteger<NUM_LIMBS>> for &UnsignedInteger<NUM_LIMBS>

type Output = UnsignedInteger<NUM_LIMBS>

impl<const NUM_LIMBS: usize> Add<&UnsignedInteger<NUM_LIMBS>> for UnsignedInteger<NUM_LIMBS>

type Output = UnsignedInteger<NUM_LIMBS>

impl<const NUM_LIMBS: usize> Add<UnsignedInteger<NUM_LIMBS>> for &UnsignedInteger<NUM_LIMBS>

type Output = UnsignedInteger<NUM_LIMBS>