Trait Group

pub trait Group:
    Debug
    + Clone
    + PartialEq
    + Eq {
    // Required methods
    fn identity() -> Self;
    fn inverse(self) -> Self;
    fn compose_mut(&mut self, other: &Self);

    // Provided methods
    fn inverse_ref(&self) -> Self { ... }
    fn compose(a: Self, b: Self) -> Self { ... }
    fn compose_lref(a: &Self, b: Self) -> Self { ... }
    fn compose_rref(a: Self, b: &Self) -> Self { ... }
    fn compose_refs(a: &Self, b: &Self) -> Self { ... }
    fn compose_list(elems: Vec<impl Borrow<Self>>) -> Self { ... }
    fn nat_pow(&self, n: &Natural) -> Self { ... }
    fn int_pow(&self, n: &Integer) -> Self { ... }
    fn generated_finite_subgroup_table(
        generators: Vec<Self>,
    ) -> (FiniteGroupMultiplicationTable, Vec<Self>, HashMap<Self, usize>)
       where Self: Hash { ... }
    fn generated_finite_subgroup(gens: Vec<Self>) -> FiniteSubgroup<Self>
       where Self: Hash { ... }
}

Required Methods

fn identity() -> Self

fn inverse(self) -> Self

fn compose_mut(&mut self, other: &Self)

Provided Methods

fn inverse_ref(&self) -> Self

fn compose(a: Self, b: Self) -> Self

fn compose_lref(a: &Self, b: Self) -> Self

fn compose_rref(a: Self, b: &Self) -> Self

fn compose_refs(a: &Self, b: &Self) -> Self

fn compose_list(elems: Vec<impl Borrow<Self>>) -> Self

fn nat_pow(&self, n: &Natural) -> Self

fn int_pow(&self, n: &Integer) -> Self

fn generated_finite_subgroup_table( generators: Vec<Self>, ) -> (FiniteGroupMultiplicationTable, Vec<Self>, HashMap<Self, usize>)

where Self: Hash,

fn generated_finite_subgroup(gens: Vec<Self>) -> FiniteSubgroup<Self>

where Self: Hash,

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementors

impl Group for C2

impl Group for algebraeon_groups::permutation::Permutation

impl<const N: usize> Group for algebraeon_groups::examples::symmetric::Permutation<N>