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

Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications.

Returns true if latin squareness holds for the given arguments.

Implementations on Foreign Types

impl<N> AbstractQuasigroup<Multiplicative> for Complex<N> where
    N: Num + Clone + ClosedNeg, 
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impl<N> AbstractQuasigroup<Additive> for Complex<N> where
    N: AbstractGroupAbelian<Additive>, 
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impl AbstractQuasigroup<Additive> for i8
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impl AbstractQuasigroup<Additive> for i16
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impl AbstractQuasigroup<Additive> for i32
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impl AbstractQuasigroup<Additive> for i64
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impl AbstractQuasigroup<Additive> for isize
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impl AbstractQuasigroup<Additive> for f32
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impl AbstractQuasigroup<Additive> for f64
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impl AbstractQuasigroup<Multiplicative> for f32
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impl AbstractQuasigroup<Multiplicative> for f64
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Implementors