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, 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.

Implementations on Foreign Types

impl AbstractRingCommutative<Additive, Multiplicative> for i8

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,

impl AbstractRingCommutative<Additive, Multiplicative> for i16

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,

impl AbstractRingCommutative<Additive, Multiplicative> for i32

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,

impl AbstractRingCommutative<Additive, Multiplicative> for i64

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,

impl AbstractRingCommutative<Additive, Multiplicative> for isize

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,

impl AbstractRingCommutative<Additive, Multiplicative> for f32

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,

impl AbstractRingCommutative<Additive, Multiplicative> for f64

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,

impl<N: Num + Clone + ClosedNeg + AbstractRingCommutative> AbstractRingCommutative<Additive, Multiplicative> for Complex<N>

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,

Implementors