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Ring

ear_algae::traits

Trait Ring

pub trait Ring:
    Copy
    + Sized
    + PartialEq
    + PartialOrd
    + Debug {
    const ZERO: Self;
    const ONE: Self;
    const TWO: Self;
Show 20 methods
    // Required methods
    fn add(self, other: Self) -> Self;
    fn add_assign(&mut self, other: Self);
    fn mul(self, other: Self) -> Self;
    fn mul_assign(&mut self, other: Self);
    fn sub(self, other: Self) -> Self;
    fn sub_assign(&mut self, other: Self);
    fn div(self, other: Self) -> Self;
    fn div_assign(&mut self, other: Self);
    fn pow(self, other: u32) -> Self;
    fn neg(self) -> Self;
    fn abs(self) -> Self;
    fn sign(self) -> Self;
    fn cmp(&self, other: &Self) -> Ordering;
    fn is_zero(self) -> bool;
    fn is_nan(self) -> bool;
    fn is_finite(self) -> bool;
    fn rem_euclid(self, other: Self) -> Self;

    // Provided methods
    fn clamp(self, min: Self, max: Self) -> Self { ... }
    fn min(self, other: Self) -> Self { ... }
    fn max(self, other: Self) -> Self { ... }
}

Required Associated Constants§

const ZERO: Self

const ONE: Self

const TWO: Self

Required Methods§

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn neg(self) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

Provided Methods§

fn clamp(self, min: Self, max: Self) -> Self

fn min(self, other: Self) -> Self

fn max(self, other: Self) -> Self

Dyn Compatibility§

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety".

Implementations on Foreign Types§

impl Ring for bool

const ZERO: Self = false

const ONE: Self = true

const TWO: Self = true

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, _: Self) -> Self

impl Ring for f32

const ZERO: Self = 0.

const ONE: Self = 1.

const TWO: Self = 2.

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for f64

const ZERO: Self = 0.

const ONE: Self = 1.

const TWO: Self = 2.

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for i8

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for i16

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for i32

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for i64

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for i128

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for isize

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for u8

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for u16

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for u32

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for u64

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for u128

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

impl Ring for usize

const ZERO: Self = 0

const ONE: Self = 1

const TWO: Self = 2

fn add(self, other: Self) -> Self

fn add_assign(&mut self, other: Self)

fn mul(self, other: Self) -> Self

fn mul_assign(&mut self, other: Self)

fn sub(self, other: Self) -> Self

fn sub_assign(&mut self, other: Self)

fn div(self, other: Self) -> Self

fn div_assign(&mut self, other: Self)

fn pow(self, other: u32) -> Self

fn abs(self) -> Self

fn sign(self) -> Self

fn neg(self) -> Self

fn cmp(&self, other: &Self) -> Ordering

fn is_zero(self) -> bool

fn is_nan(self) -> bool

fn is_finite(self) -> bool

fn rem_euclid(self, other: Self) -> Self

Implementors§