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

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, 

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, 

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 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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