Trait mathru::algebra::abstr::Identity

pub trait Identity<O: Operator>: Clone {
    fn id() -> Self;
}

A type that is equipped with identity.

Required methods

fn id() -> Self

The identity element.

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Implementations on Foreign Types

impl Identity<Addition> for u8

fn id() -> Self

impl Identity<Addition> for u16

fn id() -> Self

impl Identity<Addition> for u32

fn id() -> Self

impl Identity<Addition> for u64

fn id() -> Self

impl Identity<Addition> for u128

fn id() -> Self

impl Identity<Addition> for i8

fn id() -> Self

impl Identity<Addition> for i16

fn id() -> Self

impl Identity<Addition> for i32

fn id() -> Self

impl Identity<Addition> for i64

fn id() -> Self

impl Identity<Addition> for i128

fn id() -> Self

impl Identity<Addition> for f32

fn id() -> Self

impl Identity<Addition> for f64

fn id() -> Self

impl Identity<Multiplication> for u8

fn id() -> Self

impl Identity<Multiplication> for u16

fn id() -> Self

impl Identity<Multiplication> for u32

fn id() -> Self

impl Identity<Multiplication> for u64

fn id() -> Self

impl Identity<Multiplication> for u128

fn id() -> Self

impl Identity<Multiplication> for i8

fn id() -> Self

impl Identity<Multiplication> for i16

fn id() -> Self

impl Identity<Multiplication> for i32

fn id() -> Self

impl Identity<Multiplication> for i64

fn id() -> Self

impl Identity<Multiplication> for i128

fn id() -> Self

impl Identity<Multiplication> for f32

fn id() -> Self

impl Identity<Multiplication> for f64

fn id() -> Self

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Implementors

impl<T> Identity<Addition> for Matrix<T> where
    T: Identity<Addition>, 

fn id() -> Self

Returns the additive neutral element)

Example

use mathru::algebra::linear::Matrix;

let a: Matrix<f64> = Matrix::new(2, 2, vec![1.0, 0.0, 3.0, -7.0]);
let b: Matrix<f64> = &a + &Matrix::zero(2, 2);

assert_eq!(a, b);

impl<T> Identity<Addition> for Complex<T> where
    T: Identity<Addition> + Real, 

fn id() -> Self

impl<T> Identity<Multiplication> for Complex<T> where
    T: Identity<Multiplication> + Identity<Addition> + Real, 

fn id() -> Self

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