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

pub trait AbstractRingCommutative<A: Operator = Additive, M: Operator = Multiplicative>: AbstractRing<A, M> {
    fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool
    where
        Self: RelativeEq,
    { ... }
    fn prop_mul_is_commutative(args: (Self, Self)) -> bool
    where
        Self: Eq,
    { ... }
}

A ring with a commutative multiplication.

A commutative ring is a set with two binary operations: a closed commutative and associative with the divisibility property and an identity element, and another closed associative and commutative with the divisibility property and an identity element.

Commutativity

∀ a, b ∈ Self, a × b = b × a

Provided methods

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

Returns true if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications.

`fn prop_mul_is_commutative(args: (Self, Self)) -> bool where Self: Eq,` [src]

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

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Implementations on Foreign Types

`impl AbstractRingCommutative<Additive, Multiplicative> for i8`[src]

`impl AbstractRingCommutative<Additive, Multiplicative> for i16`[src]

`impl AbstractRingCommutative<Additive, Multiplicative> for i32`[src]

`impl AbstractRingCommutative<Additive, Multiplicative> for i64`[src]

`impl AbstractRingCommutative<Additive, Multiplicative> for i128`[src]

`impl AbstractRingCommutative<Additive, Multiplicative> for isize`[src]

`impl AbstractRingCommutative<Additive, Multiplicative> for f32`[src]

`impl AbstractRingCommutative<Additive, Multiplicative> for f64`[src]

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

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Implementors

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