Trait alga::general::AbstractGroupAbelian[−][src]

pub trait AbstractGroupAbelian<O: Operator>: AbstractGroup<O> {
    fn prop_is_commutative_approx(args: (Self, Self)) -> bool
    where
        Self: RelativeEq,
    { ... }
    fn prop_is_commutative(args: (Self, Self)) -> bool
    where
        Self: Eq,
    { ... }
}

An Abelian group is a commutative group.

An commutative group is a set with a closed commutative and associative binary operation with the divisibility property and an identity element.

Commutativity

∀ a, b ∈ Self, a ∘ b = b ∘ a

Provided methods

`fn prop_is_commutative_approx(args: (Self, Self)) -> bool where Self: RelativeEq,` [src]

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,` [src]

Returns true if the operator is commutative for the given argument tuple.

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Implementations on Foreign Types

`impl<N> AbstractGroupAbelian<Multiplicative> for Complex<N> where N: Num + Clone + ClosedNeg,` [src]

`impl<N> AbstractGroupAbelian<Additive> for Complex<N> where N: AbstractGroupAbelian<Additive>,` [src]

`impl AbstractGroupAbelian<Additive> for i8`[src]

`impl AbstractGroupAbelian<Additive> for i16`[src]

`impl AbstractGroupAbelian<Additive> for i32`[src]

`impl AbstractGroupAbelian<Additive> for i64`[src]

`impl AbstractGroupAbelian<Additive> for i128`[src]

`impl AbstractGroupAbelian<Additive> for isize`[src]

`impl AbstractGroupAbelian<Additive> for f32`[src]

`impl AbstractGroupAbelian<Additive> for f64`[src]

`impl AbstractGroupAbelian<Multiplicative> for f32`[src]

`impl AbstractGroupAbelian<Multiplicative> for f64`[src]

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Implementors

`impl<O: Operator> AbstractGroupAbelian<O> for Id<O>`[src]

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