Trait One 

pub trait One: Sized + Mul<Self, Output = Self> {
    // Required methods
    fn one() -> Self;
    fn is_one(&self) -> bool;

    // Provided method
    fn set_one(&mut self) { ... }
}

Defines a multiplicative identity element for Self.

Laws

a * 1 = a       ∀ a ∈ Self
1 * a = a       ∀ a ∈ Self

Required Methods

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

Purity

This function should return the same result at all times regardless of external mutable state.

fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity.

Provided Methods

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementations on Foreign Types

impl One for f32

fn one() -> f32

fn is_one(&self) -> bool

impl One for f64

fn one() -> f64

fn is_one(&self) -> bool

impl One for i8

fn one() -> i8

fn is_one(&self) -> bool

impl One for i16

fn one() -> i16

fn is_one(&self) -> bool

impl One for i32

fn one() -> i32

fn is_one(&self) -> bool

impl One for i64

fn one() -> i64

fn is_one(&self) -> bool

impl One for i128

fn one() -> i128

fn is_one(&self) -> bool

impl One for isize

fn one() -> isize

fn is_one(&self) -> bool

impl One for u8

fn one() -> u8

fn is_one(&self) -> bool

impl One for u16

fn one() -> u16

fn is_one(&self) -> bool

impl One for u32

fn one() -> u32

fn is_one(&self) -> bool

impl One for u64

fn one() -> u64

fn is_one(&self) -> bool

impl One for u128

fn one() -> u128

fn is_one(&self) -> bool

impl One for usize

fn one() -> usize

fn is_one(&self) -> bool

Implementors

impl One for Float106

impl<F> One for Quaternion<F>

where F: RealField,

impl<F: RealField> One for Octonion<F>

Implements the One trait for Octonion.

impl<T> One for Complex<T>

where T: RealField,