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: RelativeEq, { ... } 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: RelativeEq,
Self: RelativeEq,
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.
Implementations on Foreign Types
impl<N> AbstractQuasigroup<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
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impl<N> AbstractQuasigroup<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
impl<N> AbstractQuasigroup<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,
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impl<N> AbstractQuasigroup<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
[src]
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractQuasigroup<Additive> for i8
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impl AbstractQuasigroup<Additive> for i8
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractQuasigroup<Additive> for i16
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impl AbstractQuasigroup<Additive> for i16
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractQuasigroup<Additive> for i32
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impl AbstractQuasigroup<Additive> for i32
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractQuasigroup<Additive> for i64
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impl AbstractQuasigroup<Additive> for i64
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractQuasigroup<Additive> for isize
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impl AbstractQuasigroup<Additive> for isize
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractQuasigroup<Additive> for f32
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impl AbstractQuasigroup<Additive> for f32
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractQuasigroup<Additive> for f64
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impl AbstractQuasigroup<Additive> for f64
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractQuasigroup<Multiplicative> for f32
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impl AbstractQuasigroup<Multiplicative> for f32
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractQuasigroup<Multiplicative> for f64
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impl AbstractQuasigroup<Multiplicative> for f64
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
[src]
fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,