elliptic_curve::ops

Trait Add

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

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

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§

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type Output

The resulting type after applying the + operator.

Required Methods§

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

Performs the + operation.

§Example
assert_eq!(12 + 1, 13);

Implementors§

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impl Add for f16

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impl Add for f32

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impl Add for f64

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impl Add for f128

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impl Add for i8

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impl Add for i16

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impl Add for i32

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impl Add for i64

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impl Add for i128

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impl Add for isize

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impl Add for u8

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impl Add for u16

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impl Add for u32

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impl Add for u64

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impl Add for u128

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impl Add for usize

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impl Add for Checked<Limb>

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

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impl Add for Length

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impl Add for ATerm

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impl Add for Assume

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impl Add for Saturating<i8>

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impl Add for Saturating<i16>

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impl Add for Saturating<i32>

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impl Add for Saturating<i64>

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impl Add for Saturating<i128>

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impl Add for Saturating<isize>

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impl Add for Saturating<u8>

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impl Add for Saturating<u16>

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impl Add for Saturating<u32>

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impl Add for Saturating<u64>

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impl Add for Saturating<u128>

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impl Add for Saturating<usize>

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impl Add for core::num::wrapping::Wrapping<i8>

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impl Add for core::num::wrapping::Wrapping<i16>

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impl Add for core::num::wrapping::Wrapping<i32>

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impl Add for core::num::wrapping::Wrapping<i64>

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impl Add for core::num::wrapping::Wrapping<i128>

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impl Add for core::num::wrapping::Wrapping<isize>

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impl Add for core::num::wrapping::Wrapping<u8>

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impl Add for core::num::wrapping::Wrapping<u16>

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impl Add for core::num::wrapping::Wrapping<u32>

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impl Add for core::num::wrapping::Wrapping<u64>

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impl Add for core::num::wrapping::Wrapping<u128>

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impl Add for core::num::wrapping::Wrapping<usize>

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impl Add for Duration

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impl Add<&f16> for &f16

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impl Add<&f16> for f16

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impl Add<&f32> for &f32

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impl Add<&f32> for f32

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impl Add<&f64> for &f64

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impl Add<&f64> for f64

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impl Add<&f128> for &f128

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impl Add<&f128> for f128

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impl Add<&i8> for &i8

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impl Add<&i8> for i8

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impl Add<&i16> for &i16

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impl Add<&i16> for i16

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impl Add<&i32> for &i32

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impl Add<&i32> for i32

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impl Add<&i64> for &i64

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impl Add<&i64> for i64

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impl Add<&i128> for &i128

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impl Add<&i128> for i128

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impl Add<&isize> for &isize

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impl Add<&isize> for isize

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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;
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impl Add<&u8> for &u8

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impl Add<&u8> for u8

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impl Add<&u16> for &u16

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impl Add<&u16> for u16

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impl Add<&u32> for &u32

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impl Add<&u32> for u32

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impl Add<&u64> for &u64

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impl Add<&u64> for u64

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impl Add<&u128> for &u128

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impl Add<&u128> for u128

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impl Add<&usize> for &usize

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impl Add<&usize> for usize

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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impl Add<&Wrapping<i8>> for &core::num::wrapping::Wrapping<i8>

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impl Add<&Wrapping<i8>> for core::num::wrapping::Wrapping<i8>

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impl Add<&Wrapping<i16>> for &core::num::wrapping::Wrapping<i16>

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impl Add<&Wrapping<i16>> for core::num::wrapping::Wrapping<i16>

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impl Add<&Wrapping<i32>> for &core::num::wrapping::Wrapping<i32>

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impl Add<&Wrapping<i32>> for core::num::wrapping::Wrapping<i32>

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impl Add<&Wrapping<i64>> for &core::num::wrapping::Wrapping<i64>

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impl Add<&Wrapping<i64>> for core::num::wrapping::Wrapping<i64>

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impl Add<&Wrapping<i128>> for &core::num::wrapping::Wrapping<i128>

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impl Add<&Wrapping<i128>> for core::num::wrapping::Wrapping<i128>

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impl Add<&Wrapping<isize>> for &core::num::wrapping::Wrapping<isize>

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impl Add<&Wrapping<isize>> for core::num::wrapping::Wrapping<isize>

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impl Add<&Wrapping<u8>> for &core::num::wrapping::Wrapping<u8>

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impl Add<&Wrapping<u8>> for core::num::wrapping::Wrapping<u8>

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impl Add<&Wrapping<u16>> for &core::num::wrapping::Wrapping<u16>

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impl Add<&Wrapping<u16>> for core::num::wrapping::Wrapping<u16>

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impl Add<&Wrapping<u32>> for &core::num::wrapping::Wrapping<u32>

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impl Add<&Wrapping<u32>> for core::num::wrapping::Wrapping<u32>

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impl Add<&Wrapping<u64>> for &core::num::wrapping::Wrapping<u64>

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impl Add<&Wrapping<u64>> for core::num::wrapping::Wrapping<u64>

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impl Add<&Wrapping<u128>> for &core::num::wrapping::Wrapping<u128>

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impl Add<&Wrapping<u128>> for core::num::wrapping::Wrapping<u128>

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impl Add<&Wrapping<usize>> for &core::num::wrapping::Wrapping<usize>

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impl Add<&Wrapping<usize>> for core::num::wrapping::Wrapping<usize>

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impl Add<u8> for Length

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impl Add<u16> for Length

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impl Add<u32> for Length

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impl Add<usize> for Length

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

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

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

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impl Add<B0> for UTerm

UTerm + B0 = UTerm

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impl Add<B1> for UTerm

UTerm + B1 = UInt<UTerm, B1>

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impl Add<Duration> for Instant

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impl Add<Duration> for SystemTime

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

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type Output = Cow<'a, str>

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

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type Output = Cow<'a, str>

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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impl<'a> Add<Wrapping<i8>> for &'a core::num::wrapping::Wrapping<i8>

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impl<'a> Add<Wrapping<i16>> for &'a core::num::wrapping::Wrapping<i16>

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impl<'a> Add<Wrapping<i32>> for &'a core::num::wrapping::Wrapping<i32>

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impl<'a> Add<Wrapping<i64>> for &'a core::num::wrapping::Wrapping<i64>

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impl<'a> Add<Wrapping<i128>> for &'a core::num::wrapping::Wrapping<i128>

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impl<'a> Add<Wrapping<isize>> for &'a core::num::wrapping::Wrapping<isize>

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impl<'a> Add<Wrapping<u8>> for &'a core::num::wrapping::Wrapping<u8>

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impl<'a> Add<Wrapping<u16>> for &'a core::num::wrapping::Wrapping<u16>

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impl<'a> Add<Wrapping<u32>> for &'a core::num::wrapping::Wrapping<u32>

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impl<'a> Add<Wrapping<u64>> for &'a core::num::wrapping::Wrapping<u64>

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impl<'a> Add<Wrapping<u128>> for &'a core::num::wrapping::Wrapping<u128>

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impl<'a> Add<Wrapping<usize>> for &'a core::num::wrapping::Wrapping<usize>

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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,

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type Output = Simd<T, N>

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

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

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impl<C> Add for ScalarPrimitive<C>
where C: Curve,

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impl<C> Add<&ScalarPrimitive<C>> for ScalarPrimitive<C>
where C: Curve,

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impl<I> Add<I> for Z0
where I: Integer,

Z0 + I = I

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

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type Output = Residue<MOD, LIMBS>

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

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type Output = Residue<MOD, LIMBS>

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

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type Output = Residue<MOD, LIMBS>

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

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type Output = Residue<MOD, LIMBS>

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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,

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type Output = Simd<T, N>

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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,

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type Output = Simd<T, N>

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impl<U> Add<B1> for UInt<U, B0>
where U: Unsigned,

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

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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>

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

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impl<U> Add<Z0> for NInt<U>
where U: Unsigned + NonZero,

NInt + Z0 = NInt

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impl<U> Add<Z0> for PInt<U>
where U: Unsigned + NonZero,

PInt + Z0 = PInt

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impl<U> Add<U> for UTerm
where U: Unsigned,

UTerm + U = U

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impl<U, B> Add<UTerm> for UInt<U, B>
where U: Unsigned, B: Bit,

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

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type Output = UInt<U, B>

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impl<U, B> Add<B0> for UInt<U, B>
where U: Unsigned, B: Bit,

U + B0 = U

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type Output = UInt<U, B>

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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)

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

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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

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

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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

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

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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)

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

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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>

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

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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>

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

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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>

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

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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>

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

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

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type Output = Checked<Uint<LIMBS>>

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

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

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

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type Output = Checked<Uint<LIMBS>>

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

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type Output = Checked<Uint<LIMBS>>

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

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

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

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

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

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type Output = Checked<Uint<LIMBS>>

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

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

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

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

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

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

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

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

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

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

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

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

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

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