Trait na::Identity

pub trait Identity<O> where
    O: Operator, {
    fn identity() -> Self;

    default fn id(O) -> Self { ... }
}

A type that is equipped with identity.

Required methods

fn identity() -> Self

The identity element.

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Provided methods

default fn id(O) -> Self

Specific identity.

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Implementations on Foreign Types

impl Identity<Multiplicative> for i64

fn identity() -> i64

default fn id(O) -> Self

impl Identity<Multiplicative> for u16

fn identity() -> u16

default fn id(O) -> Self

impl Identity<Additive> for i8

fn identity() -> i8

default fn id(O) -> Self

impl Identity<Multiplicative> for f64

fn identity() -> f64

default fn id(O) -> Self

impl Identity<Additive> for u64

fn identity() -> u64

default fn id(O) -> Self

impl Identity<Additive> for u8

fn identity() -> u8

default fn id(O) -> Self

impl Identity<Additive> for f32

fn identity() -> f32

default fn id(O) -> Self

impl Identity<Multiplicative> for i8

fn identity() -> i8

default fn id(O) -> Self

impl Identity<Additive> for isize

fn identity() -> isize

default fn id(O) -> Self

impl Identity<Multiplicative> for isize

fn identity() -> isize

default fn id(O) -> Self

impl Identity<Additive> for u32

fn identity() -> u32

default fn id(O) -> Self

impl Identity<Multiplicative> for i32

fn identity() -> i32

default fn id(O) -> Self

impl Identity<Multiplicative> for u8

fn identity() -> u8

default fn id(O) -> Self

impl Identity<Multiplicative> for u64

fn identity() -> u64

default fn id(O) -> Self

impl Identity<Additive> for f64

fn identity() -> f64

default fn id(O) -> Self

impl Identity<Multiplicative> for usize

fn identity() -> usize

default fn id(O) -> Self

impl Identity<Additive> for i32

fn identity() -> i32

default fn id(O) -> Self

impl Identity<Additive> for u16

fn identity() -> u16

default fn id(O) -> Self

impl Identity<Additive> for usize

fn identity() -> usize

default fn id(O) -> Self

impl Identity<Multiplicative> for i16

fn identity() -> i16

default fn id(O) -> Self

impl Identity<Multiplicative> for u32

fn identity() -> u32

default fn id(O) -> Self

impl Identity<Additive> for i64

fn identity() -> i64

default fn id(O) -> Self

impl Identity<Additive> for i16

fn identity() -> i16

default fn id(O) -> Self

impl Identity<Multiplicative> for f32

fn identity() -> f32

default fn id(O) -> Self

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Implementors

impl<N> Identity<Additive> for Quaternion<N> where
    N: RealField, 

fn identity() -> Quaternion<N>

default fn id(O) -> Self

impl<N> Identity<Additive> for Complex<N> where
    N: Identity<Additive>, 

fn identity() -> Complex<N>

default fn id(O) -> Self

impl<N> Identity<Multiplicative> for Unit<Quaternion<N>> where
    N: RealField, 

fn identity() -> Unit<Quaternion<N>>

default fn id(O) -> Self

impl<N> Identity<Multiplicative> for Unit<Complex<N>> where
    N: RealField, 

fn identity() -> Unit<Complex<N>>

default fn id(O) -> Self

impl<N> Identity<Multiplicative> for Quaternion<N> where
    N: RealField, 

fn identity() -> Quaternion<N>

default fn id(O) -> Self

impl<N> Identity<Multiplicative> for Complex<N> where
    N: Clone + Num, 

fn identity() -> Complex<N>

default fn id(O) -> Self

impl<N, D> Identity<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One,
    DefaultAllocator: Allocator<N, D, D>, 

fn identity(
) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>

default fn id(O) -> Self

impl<N, D> Identity<Multiplicative> for Rotation<N, D> where
    D: DimName,
    N: RealField,
    DefaultAllocator: Allocator<N, D, D>, 

fn identity() -> Rotation<N, D>

default fn id(O) -> Self

impl<N, D> Identity<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: RealField,
    DefaultAllocator: Allocator<N, D, U1>, 

fn identity() -> Translation<N, D>

default fn id(O) -> Self

impl<N, D, C> Identity<Multiplicative> for Transform<N, D, C> where
    C: TCategory,
    D: DimNameAdd<U1>,
    N: RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 

fn identity() -> Transform<N, D, C>

default fn id(O) -> Self

impl<N, D, R> Identity<Multiplicative> for Isometry<N, D, R> where
    D: DimName,
    N: RealField,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn identity() -> Isometry<N, D, R>

default fn id(O) -> Self

impl<N, D, R> Identity<Multiplicative> for Similarity<N, D, R> where
    D: DimName,
    N: RealField,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

fn identity() -> Similarity<N, D, R>

default fn id(O) -> Self

impl<N, R, C> Identity<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + Zero,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 

fn identity(
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>

default fn id(O) -> Self

impl<O> Identity<O> for Id<O> where
    O: Operator, 

fn identity() -> Id<O>

default fn id(O) -> Self

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