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 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, [src]
impl<N> AbstractGroupAbelian<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg, fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, impl<N> AbstractGroupAbelian<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>, [src]
impl<N> AbstractGroupAbelian<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>, fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, impl AbstractGroupAbelian<Additive> for i8[src]
impl AbstractGroupAbelian<Additive> for i8fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, impl AbstractGroupAbelian<Additive> for i16[src]
impl AbstractGroupAbelian<Additive> for i16fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, impl AbstractGroupAbelian<Additive> for i32[src]
impl AbstractGroupAbelian<Additive> for i32fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, impl AbstractGroupAbelian<Additive> for i64[src]
impl AbstractGroupAbelian<Additive> for i64fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, impl AbstractGroupAbelian<Additive> for isize[src]
impl AbstractGroupAbelian<Additive> for isizefn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, impl AbstractGroupAbelian<Additive> for f32[src]
impl AbstractGroupAbelian<Additive> for f32fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, impl AbstractGroupAbelian<Additive> for f64[src]
impl AbstractGroupAbelian<Additive> for f64fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, impl AbstractGroupAbelian<Multiplicative> for f32[src]
impl AbstractGroupAbelian<Multiplicative> for f32fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, impl AbstractGroupAbelian<Multiplicative> for f64[src]
impl AbstractGroupAbelian<Multiplicative> for f64fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, [src]
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq, fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq, [src]
fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,