[−][src]Trait alga::general::AbstractGroupAbelian
An commutative group.
∀ a, b ∈ Self, a ∘ b = b ∘ a
Provided Methods
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
Self: RelativeEq,
Returns true
if the operator is commutative for the given argument tuple. Approximate
equality is used for verifications.
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
Self: Eq,
Returns true
if the operator is commutative for the given argument tuple.
Implementations on Foreign Types
impl<N> AbstractGroupAbelian<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
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impl<N> AbstractGroupAbelian<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
impl<N> AbstractGroupAbelian<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,
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impl<N> AbstractGroupAbelian<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractGroupAbelian<Additive> for i8
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impl AbstractGroupAbelian<Additive> for i8
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractGroupAbelian<Additive> for i16
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impl AbstractGroupAbelian<Additive> for i16
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractGroupAbelian<Additive> for i32
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impl AbstractGroupAbelian<Additive> for i32
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractGroupAbelian<Additive> for i64
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impl AbstractGroupAbelian<Additive> for i64
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractGroupAbelian<Additive> for isize
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impl AbstractGroupAbelian<Additive> for isize
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractGroupAbelian<Additive> for f32
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impl AbstractGroupAbelian<Additive> for f32
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractGroupAbelian<Additive> for f64
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impl AbstractGroupAbelian<Additive> for f64
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractGroupAbelian<Multiplicative> for f32
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impl AbstractGroupAbelian<Multiplicative> for f32
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
impl AbstractGroupAbelian<Multiplicative> for f64
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impl AbstractGroupAbelian<Multiplicative> for f64
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
Implementors
impl<O: Operator> AbstractGroupAbelian<O> for Id<O>
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impl<O: Operator> AbstractGroupAbelian<O> for Id<O>
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
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fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
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fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,