Struct IntHom 

pub struct IntHom<R>
where
    R: RingStore,
{ /* private fields */ }

The ring homomorphism Z -> R that exists for any ring R.

Example

let ring = zn_static::F17;
let hom = ring.int_hom();
assert_el_eq!(ring, hom.map(1), hom.map(18));

Implementations

impl<R> IntHom<R>

where R: RingStore,

pub fn new(ring: R) -> Self

Creates the IntHom homomorphism

  Z -> R, n -> 1 + ... + 1 [n times]

for the given ring R.

Trait Implementations

impl<R> Clone for IntHom<R>

where R: RingStore + Clone,

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

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<R> Homomorphism<StaticRingBase<i32>, <R as RingStore>::Type> for IntHom<R>

where R: RingStore,

type CodomainStore = R

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

type DomainStore = RingValue<StaticRingBase<i32>>

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

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

Returns a reference to the domain ring.

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

Returns a reference to the codomain ring.

fn map(&self, x: i32) -> 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(&self, lhs: &mut El<R>, rhs: i32)

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

fn mul_assign_ref_map( &self, lhs: &mut El<R>, rhs: &<StaticRingBase<i32> as RingBase>::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.

fn fma_map(&self, lhs: &El<R>, rhs: &i32, summand: El<R>) -> El<R>

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

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_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.

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.

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.

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.

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)).

fn mul_assign_ref_map_through_hom<First: ?Sized + RingBase, H: Homomorphism<First, Domain>>( &self, lhs: &mut Codomain::Element, 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.

fn mul_assign_map_through_hom<First: ?Sized + RingBase, H: Homomorphism<First, Domain>>( &self, lhs: &mut Codomain::Element, 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.

impl<R> Copy for IntHom<R>

where R: Copy + RingStore, El<R>: Copy,