Trait alga::general::AbstractMonoid
[−]
[src]
pub trait AbstractMonoid<O: Operator>: AbstractSemigroup<O> + Identity<O> { fn prop_operating_identity_element_is_noop_approx(a: Self) -> bool where Self: ApproxEq { ... } fn prop_operating_identity_element_is_noop(a: Self) -> bool where Self: Eq { ... } }
A semigroup equipped with an identity element.
∃ e ∈ Self, ∀ a ∈ Self, e ∘ a = a ∘ e = a
Provided Methods
fn prop_operating_identity_element_is_noop_approx(a: Self) -> bool where Self: ApproxEq
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications.
fn prop_operating_identity_element_is_noop(a: Self) -> bool where Self: Eq
Checks whether operating with the identity element is a no-op for the given argument.
Implementors
impl AbstractMonoid<Additive> for u8
impl AbstractMonoid<Additive> for u16
impl AbstractMonoid<Additive> for u32
impl AbstractMonoid<Additive> for u64
impl AbstractMonoid<Additive> for i8
impl AbstractMonoid<Additive> for i16
impl AbstractMonoid<Additive> for i32
impl AbstractMonoid<Additive> for i64
impl AbstractMonoid<Additive> for f32
impl AbstractMonoid<Additive> for f64
impl AbstractMonoid<Multiplicative> for u8
impl AbstractMonoid<Multiplicative> for u16
impl AbstractMonoid<Multiplicative> for u32
impl AbstractMonoid<Multiplicative> for u64
impl AbstractMonoid<Multiplicative> for i8
impl AbstractMonoid<Multiplicative> for i16
impl AbstractMonoid<Multiplicative> for i32
impl AbstractMonoid<Multiplicative> for i64
impl AbstractMonoid<Multiplicative> for f32
impl AbstractMonoid<Multiplicative> for f64
impl<O: Operator> AbstractMonoid<O> for Id<O>