Struct IdentityOperator 

pub struct IdentityOperator<V> { /* private fields */ }

The identity operator I: x ↦ x.

The identity operator is the simplest non-trivial operator. It has operator norm 1 and is self-adjoint.

Implementations

impl<V> IdentityOperator<V>

pub fn new() -> Self

Create a new identity operator.

Trait Implementations

impl<const P: usize, const Q: usize, const R: usize> BoundedOperator<Multivector<P, Q, R>> for IdentityOperator<Multivector<P, Q, R>>

fn operator_norm(&self) -> f64

Compute or estimate the operator norm ||T||.

fn is_bounded_by(&self, bound: f64) -> bool

Check if the operator is bounded by a given constant.

impl<V: Clone> Clone for IdentityOperator<V>

fn clone(&self) -> IdentityOperator<V>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<V: Debug> Debug for IdentityOperator<V>

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<V> Default for IdentityOperator<V>

fn default() -> Self

Returns the “default value” for a type.

impl<const P: usize, const Q: usize, const R: usize> LinearOperator<Multivector<P, Q, R>> for IdentityOperator<Multivector<P, Q, R>>

fn apply(&self, x: &Multivector<P, Q, R>) -> Result<Multivector<P, Q, R>>

Apply the operator to an element.

fn domain_dimension(&self) -> Option<usize>

Get the domain dimension (None if infinite).

fn codomain_dimension(&self) -> Option<usize>

Get the codomain dimension (None if infinite).

impl<V: Copy> Copy for IdentityOperator<V>