[−][src]Trait alga::general::AbstractMonoid
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(args: (Self,)) -> bool where
Self: RelativeEq,
Self: RelativeEq,
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(args: (Self,)) -> bool where
Self: Eq,
Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument.
Implementations on Foreign Types
impl AbstractMonoid<Additive> for u8
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impl AbstractMonoid<Additive> for u8
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for u16
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impl AbstractMonoid<Additive> for u16
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for u32
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impl AbstractMonoid<Additive> for u32
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for u64
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impl AbstractMonoid<Additive> for u64
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for usize
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impl AbstractMonoid<Additive> for usize
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for u8
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impl AbstractMonoid<Multiplicative> for u8
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for u16
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impl AbstractMonoid<Multiplicative> for u16
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for u32
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impl AbstractMonoid<Multiplicative> for u32
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for u64
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impl AbstractMonoid<Multiplicative> for u64
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for usize
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impl AbstractMonoid<Multiplicative> for usize
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl<N> AbstractMonoid<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
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impl<N> AbstractMonoid<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl<N> AbstractMonoid<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,
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impl<N> AbstractMonoid<Additive> for Complex<N> where
N: AbstractGroupAbelian<Additive>,
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for i8
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impl AbstractMonoid<Additive> for i8
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for i16
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impl AbstractMonoid<Additive> for i16
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for i32
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impl AbstractMonoid<Additive> for i32
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for i64
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impl AbstractMonoid<Additive> for i64
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for isize
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impl AbstractMonoid<Additive> for isize
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for i8
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impl AbstractMonoid<Multiplicative> for i8
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for i16
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impl AbstractMonoid<Multiplicative> for i16
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for i32
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impl AbstractMonoid<Multiplicative> for i32
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for i64
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impl AbstractMonoid<Multiplicative> for i64
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for isize
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impl AbstractMonoid<Multiplicative> for isize
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for f32
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impl AbstractMonoid<Additive> for f32
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Additive> for f64
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impl AbstractMonoid<Additive> for f64
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for f32
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impl AbstractMonoid<Multiplicative> for f32
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
impl AbstractMonoid<Multiplicative> for f64
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impl AbstractMonoid<Multiplicative> for f64
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
Implementors
impl<O: Operator> AbstractMonoid<O> for Id<O>
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impl<O: Operator> AbstractMonoid<O> for Id<O>
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
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fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,