Trait alga::general::AbstractQuasigroup
[−]
[src]
pub trait AbstractQuasigroup<O: Operator>: PartialEq + AbstractMagma<O> + Inverse<O> { fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool
where
Self: ApproxEq, { ... } fn prop_inv_is_latin_square(args: (Self, Self)) -> bool
where
Self: Eq, { ... } }
A magma with the divisibility property.
Divisibility is a weak form of right and left invertibility:
∀ a, b ∈ Self, ∃! r, l ∈ Self such that l ∘ a = b and a ∘ r = b
Provided Methods
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: ApproxEq,
Self: ApproxEq,
Returns true
if latin squareness holds for the given arguments. Approximate
equality is used for verifications.
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
Self: Eq,
Returns true
if latin squareness holds for the given arguments.
Implementors
impl<N> AbstractQuasigroup<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,impl<N> AbstractQuasigroup<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,impl AbstractQuasigroup<Additive> for i8
impl AbstractQuasigroup<Additive> for i16
impl AbstractQuasigroup<Additive> for i32
impl AbstractQuasigroup<Additive> for i64
impl AbstractQuasigroup<Additive> for isize
impl AbstractQuasigroup<Additive> for f32
impl AbstractQuasigroup<Additive> for f64
impl AbstractQuasigroup<Multiplicative> for f32
impl AbstractQuasigroup<Multiplicative> for f64
impl<O: Operator> AbstractQuasigroup<O> for Id<O>