Identity

feanor_math::homomorphism

Struct Identity

pub struct Identity<R: RingStore> { /* private fields */ }

Expand description

The identity homomorphism R -> R, x -> x on the given ring R.

Implementations§

impl<R: RingStore> Identity<R>

pub fn new(ring: R) -> Self

Creates the Identity homomorphism R -> R, x -> x on the given ring R.

Trait Implementations§

impl<R: Clone + RingStore> Clone for Identity<R>

fn clone(&self) -> Identity<R>

Returns a duplicate of the value. Read more

1.0.0 · Source§

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

Performs copy-assignment from source. Read more

impl<R: RingStore> Homomorphism<<R as RingStore>::Type, <R as RingStore>::Type> for Identity<R>

type CodomainStore = R

The type of the RingStore used by this object to store the codomain ring.

type DomainStore = R

The type of the RingStore used by this object to store the domain ring.

fn codomain<'a>(&'a self) -> &'a Self::CodomainStore

Returns a reference to the codomain ring.

fn domain<'a>(&'a self) -> &'a Self::DomainStore

Returns a reference to the domain ring.

fn map(&self, x: El<R>) -> El<R>

Applies this homomorphism to the given element from the domain ring, resulting in an element in the codomain ring.

fn mul_assign_map_through_hom<First: ?Sized + RingBase, H: Homomorphism<First, R::Type>>( &self, lhs: &mut El<R>, rhs: First::Element, hom: H, )

Multiplies the given element in the codomain ring with an element obtained by applying this and another homomorphism to a given element from another ring. Read more

fn mul_assign_ref_map_through_hom<First: ?Sized + RingBase, H: Homomorphism<First, R::Type>>( &self, lhs: &mut El<R>, rhs: &First::Element, hom: H, )

Multiplies the given element in the codomain ring with an element obtained by applying this and another homomorphism to a given element from another ring. Read more

fn fma_map(&self, lhs: &El<R>, rhs: &El<R>, summand: El<R>) -> El<R>

Fused-multiply-add. This computes lhs * rhs + summand, where rhs is mapped into the ring via this homomorphism. Read more

fn map_ref(&self, x: &Domain::Element) -> Codomain::Element

Applies this homomorphism to the given element from the domain ring, resulting in an element in the codomain ring.

fn mul_assign_map(&self, lhs: &mut Codomain::Element, rhs: Domain::Element)

Multiplies the given element in the codomain ring with an element obtained by applying this homomorphism to a given element from the domain ring. Read more

fn mul_assign_ref_map(&self, lhs: &mut Codomain::Element, rhs: &Domain::Element)

Multiplies the given element in the codomain ring with an element obtained by applying this homomorphism to a given element from the domain ring. Read more

fn mul_map( &self, lhs: Codomain::Element, rhs: Domain::Element, ) -> Codomain::Element

Multiplies the given element in the codomain ring with an element obtained by applying this homomorphism to a given element from the domain ring. Read more

fn mul_ref_fst_map( &self, lhs: &Codomain::Element, rhs: Domain::Element, ) -> Codomain::Element

Multiplies the given element in the codomain ring with an element obtained by applying this homomorphism to a given element from the domain ring. Read more

fn mul_ref_snd_map( &self, lhs: Codomain::Element, rhs: &Domain::Element, ) -> Codomain::Element

Multiplies the given element in the codomain ring with an element obtained by applying this homomorphism to a given element from the domain ring. Read more

fn mul_ref_map( &self, lhs: &Codomain::Element, rhs: &Domain::Element, ) -> Codomain::Element

Multiplies the given element in the codomain ring with an element obtained by applying this homomorphism to a given element from the domain ring. Read more

fn compose<F, PrevDomain: ?Sized + RingBase>( self, prev: F, ) -> ComposedHom<PrevDomain, Domain, Codomain, F, Self>
where Self: Sized, F: Homomorphism<PrevDomain, Domain>,

Constructs the homomorphism x -> self.map(prev.map(x)).

impl<R> Copy for Identity<R>
where R: Copy + RingStore, El<R>: Copy,

Auto Trait Implementations§

impl<R> Freeze for Identity<R>
where R: Freeze,

impl<R> RefUnwindSafe for Identity<R>
where R: RefUnwindSafe,

impl<R> Send for Identity<R>
where R: Send,

impl<R> Sync for Identity<R>
where R: Sync,

impl<R> Unpin for Identity<R>
where R: Unpin,

impl<R> UnwindSafe for Identity<R>
where R: UnwindSafe,

Blanket Implementations§

impl<T> Any for T
where T: 'static + ?Sized,

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> Borrow<T> for T
where T: ?Sized,

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T
where T: ?Sized,

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

impl<T> CloneToUninit for T
where T: Clone,

unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)

Performs copy-assignment from self to dest. Read more

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<T, U> Into<U> for T
where U: From<T>,

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

impl<T> IntoEither for T

fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

impl<T> Pointable for T

const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

impl<T> ToOwned for T
where T: Clone,

type Owned = T

The resulting type after obtaining ownership.

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more

impl<T, U> TryFrom<U> for T
where U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.