Struct AddGroupBase 

pub struct AddGroupBase<R: RingStore>(pub R);

Available on crate feature unstable-enable only.

The additive group of a ring, implements AbelianGroupBase.

Attention

It is unlikely that you want to use this, except for testing group-related algorithms.

In most cases, it does not make much sense to compute dlogs in the additive group of a ring using generic methods, since algorithms as in crate::algorithms::linsolve will be much faster.

Availability

This API is marked as unstable and is only available when the unstable-enable crate feature is enabled. This comes with no stability guarantees, and could be changed or removed at any time.

Tuple Fields

0: R

Trait Implementations

impl<R: RingStore> AbelianGroupBase for AddGroupBase<R>

where R::Type: HashableElRing,

type Element = <<R as RingStore>::Type as RingBase>::Element

Available on crate feature unstable-enable only.

Type used to represent elements of this group.

fn clone_el(&self, x: &Self::Element) -> Self::Element

Available on crate feature unstable-enable only.

Clones an element of the group.

fn eq_el(&self, lhs: &Self::Element, rhs: &Self::Element) -> bool

Available on crate feature unstable-enable only.

Checks whether two group elements are equal.

fn op(&self, lhs: Self::Element, rhs: Self::Element) -> Self::Element

Available on crate feature unstable-enable only.

Applies the group operation to two elements.

fn inv(&self, x: &Self::Element) -> Self::Element

Available on crate feature unstable-enable only.

Computes the inverse of the give element, i.e. the unique group element x^-1 such that x * x^-1 is the identity element.

fn identity(&self) -> Self::Element

Available on crate feature unstable-enable only.

Returns the identity element of the group, i.e. the unique element 1 such that x * 1 = x for all group elements x.

fn hash<H: Hasher>(&self, x: &Self::Element, hasher: &mut H)

Available on crate feature unstable-enable only.

Hashes the group element.

fn op_ref(&self, lhs: &Self::Element, rhs: &Self::Element) -> Self::Element

Available on crate feature unstable-enable only.

Applies the group operation to two elements.

fn op_ref_snd(&self, lhs: Self::Element, rhs: &Self::Element) -> Self::Element

Available on crate feature unstable-enable only.

Applies the group operation to two elements.

fn pow(&self, x: &Self::Element, e: &El<BigIntRing>) -> Self::Element

Available on crate feature unstable-enable only.

Raises a group element to the given power, i.e. computes x * x * ... * x, in total e times.

fn is_identity(&self, x: &Self::Element) -> bool

Available on crate feature unstable-enable only.

Checks whether the given element is the identity element of the group.

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

where R::Type: HashableElRing,

fn clone(&self) -> Self

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<R: RingStore> PartialEq for AddGroupBase<R>

where R::Type: HashableElRing,

fn eq(&self, other: &Self) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.