Trait grafix_toolbox::lib::ops::Add

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

    // Required method
    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

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 f16

type Output = f16

impl Add for Assume

type Output = Assume

impl Add for Duration

type Output = Duration

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 bf16

type Output = bf16

impl Add for m128

type Output = m128

impl Add for m128d

type Output = m128d

impl Add for AutoSimd<[f32; 2]>

type Output = AutoSimd<[f32; 2]>

impl Add for AutoSimd<[f32; 4]>

type Output = AutoSimd<[f32; 4]>

impl Add for AutoSimd<[f32; 8]>

type Output = AutoSimd<[f32; 8]>

impl Add for AutoSimd<[f32; 16]>

type Output = AutoSimd<[f32; 16]>

impl Add for AutoSimd<[f64; 2]>

type Output = AutoSimd<[f64; 2]>

impl Add for AutoSimd<[f64; 4]>

type Output = AutoSimd<[f64; 4]>

impl Add for AutoSimd<[f64; 8]>

type Output = AutoSimd<[f64; 8]>

impl Add for AutoSimd<[i8; 2]>

type Output = AutoSimd<[i8; 2]>

impl Add for AutoSimd<[i8; 4]>

type Output = AutoSimd<[i8; 4]>

impl Add for AutoSimd<[i8; 8]>

type Output = AutoSimd<[i8; 8]>

impl Add for AutoSimd<[i8; 16]>

type Output = AutoSimd<[i8; 16]>

impl Add for AutoSimd<[i8; 32]>

type Output = AutoSimd<[i8; 32]>

impl Add for AutoSimd<[i16; 2]>

type Output = AutoSimd<[i16; 2]>

impl Add for AutoSimd<[i16; 4]>

type Output = AutoSimd<[i16; 4]>

impl Add for AutoSimd<[i16; 8]>

type Output = AutoSimd<[i16; 8]>

impl Add for AutoSimd<[i16; 16]>

type Output = AutoSimd<[i16; 16]>

impl Add for AutoSimd<[i16; 32]>

type Output = AutoSimd<[i16; 32]>

impl Add for AutoSimd<[i32; 2]>

type Output = AutoSimd<[i32; 2]>

impl Add for AutoSimd<[i32; 4]>

type Output = AutoSimd<[i32; 4]>

impl Add for AutoSimd<[i32; 8]>

type Output = AutoSimd<[i32; 8]>

impl Add for AutoSimd<[i32; 16]>

type Output = AutoSimd<[i32; 16]>

impl Add for AutoSimd<[i64; 2]>

type Output = AutoSimd<[i64; 2]>

impl Add for AutoSimd<[i64; 4]>

type Output = AutoSimd<[i64; 4]>

impl Add for AutoSimd<[i64; 8]>

type Output = AutoSimd<[i64; 8]>

impl Add for AutoSimd<[i128; 1]>

type Output = AutoSimd<[i128; 1]>

impl Add for AutoSimd<[i128; 2]>

type Output = AutoSimd<[i128; 2]>

impl Add for AutoSimd<[i128; 4]>

type Output = AutoSimd<[i128; 4]>

impl Add for AutoSimd<[isize; 2]>

type Output = AutoSimd<[isize; 2]>

impl Add for AutoSimd<[isize; 4]>

type Output = AutoSimd<[isize; 4]>

impl Add for AutoSimd<[isize; 8]>

type Output = AutoSimd<[isize; 8]>

impl Add for AutoSimd<[u8; 2]>

type Output = AutoSimd<[u8; 2]>

impl Add for AutoSimd<[u8; 4]>

type Output = AutoSimd<[u8; 4]>

impl Add for AutoSimd<[u8; 8]>

type Output = AutoSimd<[u8; 8]>

impl Add for AutoSimd<[u8; 16]>

type Output = AutoSimd<[u8; 16]>

impl Add for AutoSimd<[u8; 32]>

type Output = AutoSimd<[u8; 32]>

impl Add for AutoSimd<[u16; 2]>

type Output = AutoSimd<[u16; 2]>

impl Add for AutoSimd<[u16; 4]>

type Output = AutoSimd<[u16; 4]>

impl Add for AutoSimd<[u16; 8]>

type Output = AutoSimd<[u16; 8]>

impl Add for AutoSimd<[u16; 16]>

type Output = AutoSimd<[u16; 16]>

impl Add for AutoSimd<[u16; 32]>

type Output = AutoSimd<[u16; 32]>

impl Add for AutoSimd<[u32; 2]>

type Output = AutoSimd<[u32; 2]>

impl Add for AutoSimd<[u32; 4]>

type Output = AutoSimd<[u32; 4]>

impl Add for AutoSimd<[u32; 8]>

type Output = AutoSimd<[u32; 8]>

impl Add for AutoSimd<[u32; 16]>

type Output = AutoSimd<[u32; 16]>

impl Add for AutoSimd<[u64; 2]>

type Output = AutoSimd<[u64; 2]>

impl Add for AutoSimd<[u64; 4]>

type Output = AutoSimd<[u64; 4]>

impl Add for AutoSimd<[u64; 8]>

type Output = AutoSimd<[u64; 8]>

impl Add for AutoSimd<[u128; 1]>

type Output = AutoSimd<[u128; 1]>

impl Add for AutoSimd<[u128; 2]>

type Output = AutoSimd<[u128; 2]>

impl Add for AutoSimd<[u128; 4]>

type Output = AutoSimd<[u128; 4]>

impl Add for AutoSimd<[usize; 2]>

type Output = AutoSimd<[usize; 2]>

impl Add for AutoSimd<[usize; 4]>

type Output = AutoSimd<[usize; 4]>

impl Add for AutoSimd<[usize; 8]>

type Output = AutoSimd<[usize; 8]>

impl Add for WideF32x4

type Output = WideF32x4

impl Add for WideF32x8

type Output = WideF32x8

impl Add for WideF64x4

type Output = WideF64x4

impl Add for ATerm

type Output = ATerm

impl Add for f32x4

type Output = f32x4

impl Add for f32x8

type Output = f32x8

impl Add for f64x2

type Output = f64x2

impl Add for f64x4

type Output = f64x4

impl Add for i8x16

type Output = i8x16

impl Add for i8x32

type Output = i8x32

impl Add for i16x8

type Output = i16x8

impl Add for i16x16

type Output = i16x16

impl Add for i32x4

type Output = i32x4

impl Add for i32x8

type Output = i32x8

impl Add for i64x2

type Output = i64x2

impl Add for i64x4

type Output = i64x4

impl Add for u8x16

type Output = u8x16

impl Add for u16x8

type Output = u16x8

impl Add for u16x16

type Output = u16x16

impl Add for u32x4

type Output = u32x4

impl Add for u32x8

type Output = u32x8

impl Add for u64x2

type Output = u64x2

impl Add for u64x4

type Output = u64x4

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 i8

type Output = <i8 as Add>::Output

impl Add<&i16> for &i16

type Output = <i16 as Add>::Output

impl Add<&i16> for i16

type Output = <i16 as Add>::Output

impl Add<&i32> for &i32

type Output = <i32 as Add>::Output

impl Add<&i32> for i32

type Output = <i32 as Add>::Output

impl Add<&i64> for &i64

type Output = <i64 as Add>::Output

impl Add<&i64> for i64

type Output = <i64 as Add>::Output

impl Add<&i128> for &i128

type Output = <i128 as Add>::Output

impl Add<&i128> for i128

type Output = <i128 as Add>::Output

impl Add<&isize> for &isize

type Output = <isize as Add>::Output

impl Add<&isize> for isize

type Output = <isize as Add>::Output

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 u8

type Output = <u8 as Add>::Output

impl Add<&u16> for &u16

type Output = <u16 as Add>::Output

impl Add<&u16> for u16

type Output = <u16 as Add>::Output

impl Add<&u32> for &u32

type Output = <u32 as Add>::Output

impl Add<&u32> for u32

type Output = <u32 as Add>::Output

impl Add<&u64> for &u64

type Output = <u64 as Add>::Output

impl Add<&u64> for u64

type Output = <u64 as Add>::Output

impl Add<&u128> for &u128

type Output = <u128 as Add>::Output

impl Add<&u128> for u128

type Output = <u128 as Add>::Output

impl Add<&usize> for &usize

type Output = <usize as Add>::Output

impl Add<&usize> for usize

type Output = <usize as Add>::Output

impl Add<&f16> for &f16

type Output = <f16 as Add>::Output

impl Add<&f16> for f16

type Output = <f16 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<&bf16> for &bf16

type Output = <bf16 as Add>::Output

impl Add<&bf16> for bf16

type Output = <bf16 as Add>::Output

impl Add<&f32x4> for f32x4

type Output = f32x4

impl Add<&f32x8> for f32x8

type Output = f32x8

impl Add<&f64x2> for f64x2

type Output = f64x2

impl Add<&f64x4> for f64x4

type Output = f64x4

impl Add<&i8x16> for i8x16

type Output = i8x16

impl Add<&i8x32> for i8x32

type Output = i8x32

impl Add<&i16x8> for i16x8

type Output = i16x8

impl Add<&i16x16> for i16x16

type Output = i16x16

impl Add<&i32x4> for i32x4

type Output = i32x4

impl Add<&i32x8> for i32x8

type Output = i32x8

impl Add<&i64x2> for i64x2

type Output = i64x2

impl Add<&u8x16> for u8x16

type Output = u8x16

impl Add<&u16x8> for u16x8

type Output = u16x8

impl Add<&u16x16> for u16x16

type Output = u16x16

impl Add<&u32x4> for u32x4

type Output = u32x4

impl Add<&u32x8> for u32x8

type Output = u32x8

impl Add<&u64x2> for u64x2

type Output = u64x2

impl Add<&u64x4> for u64x4

type Output = u64x4

impl Add<f32> for f32x4

type Output = f32x4

impl Add<f32> for f32x8

type Output = f32x8

impl Add<f64> for f64x2

type Output = f64x2

impl Add<f64> for f64x4

type Output = f64x4

impl Add<i8> for i8x16

type Output = i8x16

impl Add<i8> for i8x32

type Output = i8x32

impl Add<i16> for i16x8

type Output = i16x8

impl Add<i16> for i16x16

type Output = i16x16

impl Add<i32> for i32x4

type Output = i32x4

impl Add<i32> for i32x8

type Output = i32x8

impl Add<i64> for i64x2

type Output = i64x2

impl Add<i64> for i64x4

type Output = i64x4

impl Add<u8> for u8x16

type Output = u8x16

impl Add<u16> for u16x8

type Output = u16x8

impl Add<u16> for u16x16

type Output = u16x16

impl Add<u32> for u32x4

type Output = u32x4

impl Add<u64> for u64x2

type Output = u64x2

impl Add<u64> for u64x4

type Output = u64x4

impl Add<usize> for Dyn

type Output = Dyn

impl Add<f16> for &f16

type Output = <f16 as Add>::Output

impl Add<Duration> for Instant

type Output = Instant

impl Add<Duration> for SystemTime

type Output = SystemTime

impl Add<bf16> for &bf16

type Output = <bf16 as Add>::Output

impl Add<Complex<f32>> for f32

type Output = Complex<f32>

impl Add<Complex<f64>> for f64

type Output = Complex<f64>

impl Add<Complex<i8>> for i8

type Output = Complex<i8>

impl Add<Complex<i16>> for i16

type Output = Complex<i16>

impl Add<Complex<i32>> for i32

type Output = Complex<i32>

impl Add<Complex<i64>> for i64

type Output = Complex<i64>

impl Add<Complex<i128>> for i128

type Output = Complex<i128>

impl Add<Complex<isize>> for isize

type Output = Complex<isize>

impl Add<Complex<u8>> for u8

type Output = Complex<u8>

impl Add<Complex<u16>> for u16

type Output = Complex<u16>

impl Add<Complex<u32>> for u32

type Output = Complex<u32>

impl Add<Complex<u64>> for u64

type Output = Complex<u64>

impl Add<Complex<u128>> for u128

type Output = Complex<u128>

impl Add<Complex<usize>> for usize

type Output = Complex<usize>

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 Add<f32x4> for f32

type Output = f32x4

impl Add<f32x8> for f32

type Output = f32x8

impl Add<f64x2> for f64

type Output = f64x2

impl Add<f64x4> for f64

type Output = f64x4

impl Add<i8x16> for i8

type Output = i8x16

impl Add<i8x32> for i8

type Output = i8x32

impl Add<i16x8> for i16

type Output = i16x8

impl Add<i16x16> for i16

type Output = i16x16

impl Add<i32x4> for i32

type Output = i32x4

impl Add<i32x8> for i32

type Output = i32x8

impl Add<i64x2> for i64

type Output = i64x2

impl Add<i64x4> for i64

type Output = i64x4

impl Add<u8x16> for u8

type Output = u8x16

impl Add<u16x8> for u16

type Output = u16x8

impl Add<u16x16> for u16

type Output = u16x16

impl Add<u32x4> for u32

type Output = u32x4

impl Add<u64x2> for u64

type Output = u64x2

impl Add<u64x4> for u64

type Output = u64x4

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 Complex<f32>> for f32

type Output = Complex<f32>

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

type Output = Complex<f64>

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

type Output = Complex<i8>

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

type Output = Complex<i16>

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

type Output = Complex<i32>

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

type Output = Complex<i64>

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

type Output = Complex<i128>

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

type Output = Complex<isize>

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

type Output = Complex<u8>

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

type Output = Complex<u16>

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

type Output = Complex<u32>

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

type Output = Complex<u64>

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

type Output = Complex<u128>

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

type Output = Complex<usize>

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 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<Complex<f32>> for &'a f32

type Output = Complex<f32>

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

type Output = Complex<f64>

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

type Output = Complex<i8>

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

type Output = Complex<i16>

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

type Output = Complex<i32>

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

type Output = Complex<i64>

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

type Output = Complex<i128>

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

type Output = Complex<isize>

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

type Output = Complex<u8>

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

type Output = Complex<u16>

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

type Output = Complex<u32>

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

type Output = Complex<u64>

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

type Output = Complex<u128>

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

type Output = Complex<usize>

impl<'a, 'b> Add<&'a Complex<f32>> for &'b f32

type Output = Complex<f32>

impl<'a, 'b> Add<&'a Complex<f64>> for &'b f64

type Output = Complex<f64>

impl<'a, 'b> Add<&'a Complex<i8>> for &'b i8

type Output = Complex<i8>

impl<'a, 'b> Add<&'a Complex<i16>> for &'b i16

type Output = Complex<i16>

impl<'a, 'b> Add<&'a Complex<i32>> for &'b i32

type Output = Complex<i32>

impl<'a, 'b> Add<&'a Complex<i64>> for &'b i64

type Output = Complex<i64>

impl<'a, 'b> Add<&'a Complex<i128>> for &'b i128

type Output = Complex<i128>

impl<'a, 'b> Add<&'a Complex<isize>> for &'b isize

type Output = Complex<isize>

impl<'a, 'b> Add<&'a Complex<u8>> for &'b u8

type Output = Complex<u8>

impl<'a, 'b> Add<&'a Complex<u16>> for &'b u16

type Output = Complex<u16>

impl<'a, 'b> Add<&'a Complex<u32>> for &'b u32

type Output = Complex<u32>

impl<'a, 'b> Add<&'a Complex<u64>> for &'b u64

type Output = Complex<u64>

impl<'a, 'b> Add<&'a Complex<u128>> for &'b u128

type Output = Complex<u128>

impl<'a, 'b> Add<&'a Complex<usize>> for &'b usize

type Output = Complex<usize>

impl<'a, 'b, T> Add<&'b DualQuaternion<T>> for &'a DualQuaternion<T>

where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

impl<'a, 'b, T> Add<&'b Quaternion<T>> for &'a Quaternion<T>

where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = Quaternion<T>

impl<'a, 'b, T> Add<&'b Complex<T>> for &'a Complex<T>

where T: Clone + Num,

type Output = Complex<T>

impl<'a, 'b, T> Add<&'b Ratio<T>> for &'a Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

impl<'a, 'b, T> Add<&'a T> for &'b Complex<T>

where T: Clone + Num,

type Output = Complex<T>

impl<'a, 'b, T> Add<&'b T> for &'a Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

impl<'a, 'b, T, D1, D2, SB> Add<&'b Matrix<T, D2, Const<1>, SB>> for &'a OPoint<T, D1>

where T: Scalar + ClosedAddAssign, ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>, D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<D1>,

type Output = OPoint<T, D1>

impl<'a, 'b, T, R1, C1, R2, C2, SA, SB> Add<&'b Matrix<T, R2, C2, SB>> for &'a Matrix<T, R1, C1, SA>

where R1: Dim, C1: Dim, R2: Dim, C2: Dim, T: Scalar + ClosedAddAssign, SA: Storage<T, R1, C1>, SB: Storage<T, R2, C2>, DefaultAllocator: SameShapeAllocator<R1, C1, R2, C2>, ShapeConstraint: SameNumberOfRows<R1, R2> + SameNumberOfColumns<C1, C2>,

type Output = Matrix<T, <ShapeConstraint as SameNumberOfRows<R1, R2>>::Representative, <ShapeConstraint as SameNumberOfColumns<C1, C2>>::Representative, <DefaultAllocator as Allocator<<ShapeConstraint as SameNumberOfRows<R1, R2>>::Representative, <ShapeConstraint as SameNumberOfColumns<C1, C2>>::Representative>>::Buffer<T>>

impl<'a, T> Add<&'a Complex<T>> for Complex<T>

where T: Clone + Num,

type Output = Complex<T>

impl<'a, T> Add<&'a Ratio<T>> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

impl<'a, T> Add<&'a T> for Complex<T>

where T: Clone + Num,

type Output = Complex<T>

impl<'a, T> Add<&'a T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

impl<'a, T> Add<DualQuaternion<T>> for &'a DualQuaternion<T>

where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

impl<'a, T> Add<Quaternion<T>> for &'a Quaternion<T>

where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = Quaternion<T>

impl<'a, T> Add<Complex<T>> for &'a Complex<T>

where T: Clone + Num,

type Output = Complex<T>

impl<'a, T> Add<Ratio<T>> for &'a Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

impl<'a, T> Add<T> for &'a Complex<T>

where T: Clone + Num,

type Output = Complex<T>

impl<'a, T> Add<T> for &'a Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

impl<'a, T, D1, D2, SB> Add<Matrix<T, D2, Const<1>, SB>> for &'a OPoint<T, D1>

where T: Scalar + ClosedAddAssign, ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>, D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<D1>,

type Output = OPoint<T, D1>

impl<'a, T, R1, C1, R2, C2, SA, SB> Add<Matrix<T, R2, C2, SB>> for &'a Matrix<T, R1, C1, SA>

where R1: Dim, C1: Dim, R2: Dim, C2: Dim, T: Scalar + ClosedAddAssign, SA: Storage<T, R1, C1>, SB: Storage<T, R2, C2>, DefaultAllocator: SameShapeAllocator<R2, C2, R1, C1>, ShapeConstraint: SameNumberOfRows<R2, R1> + SameNumberOfColumns<C2, C1>,

type Output = Matrix<T, <ShapeConstraint as SameNumberOfRows<R2, R1>>::Representative, <ShapeConstraint as SameNumberOfColumns<C2, C1>>::Representative, <DefaultAllocator as Allocator<<ShapeConstraint as SameNumberOfRows<R2, R1>>::Representative, <ShapeConstraint as SameNumberOfColumns<C2, C1>>::Representative>>::Buffer<T>>

impl<'b, T> Add<&'b DualQuaternion<T>> for DualQuaternion<T>

where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

impl<'b, T> Add<&'b Quaternion<T>> for Quaternion<T>

where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = Quaternion<T>

impl<'b, T, D1, D2, SB> Add<&'b Matrix<T, D2, Const<1>, SB>> for OPoint<T, D1>

where T: Scalar + ClosedAddAssign, ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>, D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<D1>,

type Output = OPoint<T, D1>

impl<'b, T, R1, C1, R2, C2, SA, SB> Add<&'b Matrix<T, R2, C2, SB>> for Matrix<T, R1, C1, SA>

where R1: Dim, C1: Dim, R2: Dim, C2: Dim, T: Scalar + ClosedAddAssign, SA: Storage<T, R1, C1>, SB: Storage<T, R2, C2>, DefaultAllocator: SameShapeAllocator<R1, C1, R2, C2>, ShapeConstraint: SameNumberOfRows<R1, R2> + SameNumberOfColumns<C1, C2>,

type Output = Matrix<T, <ShapeConstraint as SameNumberOfRows<R1, R2>>::Representative, <ShapeConstraint as SameNumberOfColumns<C1, C2>>::Representative, <DefaultAllocator as Allocator<<ShapeConstraint as SameNumberOfRows<R1, R2>>::Representative, <ShapeConstraint as SameNumberOfColumns<C1, C2>>::Representative>>::Buffer<T>>

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 for DualQuaternion<T>

where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = DualQuaternion<T>

impl<T> Add for Quaternion<T>

where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,

type Output = Quaternion<T>

impl<T> Add for Complex<T>

where T: Clone + Num,

type Output = Complex<T>

impl<T> Add for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

impl<T> Add<T> for Complex<T>

where T: Clone + Num,

type Output = Complex<T>

impl<T> Add<T> for Ratio<T>

where T: Clone + Integer,

type Output = Ratio<T>

impl<T, D1, D2, SB> Add<Matrix<T, D2, Const<1>, SB>> for OPoint<T, D1>

where T: Scalar + ClosedAddAssign, ShapeConstraint: SameNumberOfRows<D1, D2, Representative = D1> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>, D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<D1>,

type Output = OPoint<T, D1>

impl<T, R1, C1, R2, C2, SA, SB> Add<Matrix<T, R2, C2, SB>> for Matrix<T, R1, C1, SA>

where R1: Dim, C1: Dim, R2: Dim, C2: Dim, T: Scalar + ClosedAddAssign, SA: Storage<T, R1, C1>, SB: Storage<T, R2, C2>, DefaultAllocator: SameShapeAllocator<R1, C1, R2, C2>, ShapeConstraint: SameNumberOfRows<R1, R2> + SameNumberOfColumns<C1, C2>,

type Output = Matrix<T, <ShapeConstraint as SameNumberOfRows<R1, R2>>::Representative, <ShapeConstraint as SameNumberOfColumns<C1, C2>>::Representative, <DefaultAllocator as Allocator<<ShapeConstraint as SameNumberOfRows<R1, R2>>::Representative, <ShapeConstraint as SameNumberOfColumns<C1, C2>>::Representative>>::Buffer<T>>

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>