[−][src]Struct na::Multiplicative
The multiplication operator, commonly symbolized by ×
.
Trait Implementations
impl<N, D, C> TwoSidedInverse<Multiplicative> for Transform<N, D, C> where
C: SubTCategoryOf<TProjective>,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
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C: SubTCategoryOf<TProjective>,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
fn two_sided_inverse(&self) -> Transform<N, D, C>
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fn two_sided_inverse_mut(&mut self)
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impl<N> TwoSidedInverse<Multiplicative> for Unit<Complex<N>> where
N: RealField,
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N: RealField,
fn two_sided_inverse(&self) -> Unit<Complex<N>>
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fn two_sided_inverse_mut(&mut self)
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impl<N, D> TwoSidedInverse<Multiplicative> for Translation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
fn two_sided_inverse(&self) -> Translation<N, D>
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fn two_sided_inverse_mut(&mut self)
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impl<N, D, R> TwoSidedInverse<Multiplicative> for Isometry<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
fn two_sided_inverse(&self) -> Isometry<N, D, R>
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fn two_sided_inverse_mut(&mut self)
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impl<N> TwoSidedInverse<Multiplicative> for Unit<Quaternion<N>> where
N: RealField,
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N: RealField,
fn two_sided_inverse(&self) -> Unit<Quaternion<N>>
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fn two_sided_inverse_mut(&mut self)
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impl<N, D, R> TwoSidedInverse<Multiplicative> for Similarity<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
fn two_sided_inverse(&self) -> Similarity<N, D, R>
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fn two_sided_inverse_mut(&mut self)
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impl<N, D> TwoSidedInverse<Multiplicative> for Rotation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
fn two_sided_inverse(&self) -> Rotation<N, D>
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fn two_sided_inverse_mut(&mut self)
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impl<N> AbstractGroup<Multiplicative> for Unit<Quaternion<N>> where
N: RealField,
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N: RealField,
impl<N> AbstractGroup<Multiplicative> for Unit<Complex<N>> where
N: RealField,
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N: RealField,
impl<N, D> AbstractGroup<Multiplicative> for Rotation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
impl<N, D, C> AbstractGroup<Multiplicative> for Transform<N, D, C> where
C: SubTCategoryOf<TProjective>,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
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C: SubTCategoryOf<TProjective>,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
impl<N, D, R> AbstractGroup<Multiplicative> for Similarity<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
impl<N, D, R> AbstractGroup<Multiplicative> for Isometry<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
impl<N, D> AbstractGroup<Multiplicative> for Translation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
impl<N, D, R> AbstractSemigroup<Multiplicative> for Isometry<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
default fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N, D, C> AbstractSemigroup<Multiplicative> for Transform<N, D, C> where
C: TCategory,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
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C: TCategory,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
default fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N> AbstractSemigroup<Multiplicative> for Unit<Complex<N>> where
N: RealField,
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N: RealField,
default fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N> AbstractSemigroup<Multiplicative> for Quaternion<N> where
N: RealField,
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N: RealField,
default fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N, D> AbstractSemigroup<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
D: DimName,
N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + AbstractSemigroup<Multiplicative>,
DefaultAllocator: Allocator<N, D, D>,
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D: DimName,
N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + AbstractSemigroup<Multiplicative>,
DefaultAllocator: Allocator<N, D, D>,
default fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N> AbstractSemigroup<Multiplicative> for Unit<Quaternion<N>> where
N: RealField,
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N: RealField,
default fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N, D> AbstractSemigroup<Multiplicative> for Translation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
default fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N, D, R> AbstractSemigroup<Multiplicative> for Similarity<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
default fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N, D> AbstractSemigroup<Multiplicative> for Rotation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
default fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
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Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N, D, R> Identity<Multiplicative> for Isometry<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
impl<N, D, C> Identity<Multiplicative> for Transform<N, D, C> where
C: TCategory,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
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C: TCategory,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
impl<N, D> Identity<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
D: DimName,
N: Scalar + Zero + One,
DefaultAllocator: Allocator<N, D, D>,
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D: DimName,
N: Scalar + Zero + One,
DefaultAllocator: Allocator<N, D, D>,
fn identity(
) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
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) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
default fn id(O) -> Self
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Specific identity.
impl<N, D> Identity<Multiplicative> for Translation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
impl<N> Identity<Multiplicative> for Unit<Quaternion<N>> where
N: RealField,
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N: RealField,
impl<N, D> Identity<Multiplicative> for Rotation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
impl<N> Identity<Multiplicative> for Unit<Complex<N>> where
N: RealField,
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N: RealField,
impl<N, D, R> Identity<Multiplicative> for Similarity<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
impl<N> Identity<Multiplicative> for Quaternion<N> where
N: RealField,
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N: RealField,
impl<N> AbstractModule<Additive, Additive, Multiplicative> for Quaternion<N> where
N: RealField,
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N: RealField,
impl<N, R, C> AbstractModule<Additive, Additive, Multiplicative> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + RingCommutative,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
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C: DimName,
N: Scalar + RingCommutative,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
type AbstractRing = N
The underlying scalar field.
fn multiply_by(
&self,
n: N
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
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&self,
n: N
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
impl<N> AbstractLoop<Multiplicative> for Unit<Quaternion<N>> where
N: RealField,
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N: RealField,
impl<N, D, C> AbstractLoop<Multiplicative> for Transform<N, D, C> where
C: SubTCategoryOf<TProjective>,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
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C: SubTCategoryOf<TProjective>,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
impl<N, D, R> AbstractLoop<Multiplicative> for Isometry<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
impl<N, D, R> AbstractLoop<Multiplicative> for Similarity<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
impl<N, D> AbstractLoop<Multiplicative> for Rotation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
impl<N, D> AbstractLoop<Multiplicative> for Translation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
impl<N> AbstractLoop<Multiplicative> for Unit<Complex<N>> where
N: RealField,
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N: RealField,
impl<N> AbstractMagma<Multiplicative> for Unit<Quaternion<N>> where
N: RealField,
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N: RealField,
fn operate(&self, rhs: &Unit<Quaternion<N>>) -> Unit<Quaternion<N>>
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default fn op(&self, O, lhs: &Self) -> Self
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Performs specific operation.
impl<N, D, C> AbstractMagma<Multiplicative> for Transform<N, D, C> where
C: TCategory,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
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C: TCategory,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
fn operate(&self, rhs: &Transform<N, D, C>) -> Transform<N, D, C>
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default fn op(&self, O, lhs: &Self) -> Self
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Performs specific operation.
impl<N, D> AbstractMagma<Multiplicative> for Rotation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
fn operate(&self, rhs: &Rotation<N, D>) -> Rotation<N, D>
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default fn op(&self, O, lhs: &Self) -> Self
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Performs specific operation.
impl<N, D> AbstractMagma<Multiplicative> for Translation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
fn operate(&self, rhs: &Translation<N, D>) -> Translation<N, D>
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default fn op(&self, O, lhs: &Self) -> Self
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Performs specific operation.
impl<N> AbstractMagma<Multiplicative> for Quaternion<N> where
N: RealField,
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N: RealField,
fn operate(&self, rhs: &Quaternion<N>) -> Quaternion<N>
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default fn op(&self, O, lhs: &Self) -> Self
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Performs specific operation.
impl<N, D, R> AbstractMagma<Multiplicative> for Similarity<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
fn operate(&self, rhs: &Similarity<N, D, R>) -> Similarity<N, D, R>
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default fn op(&self, O, lhs: &Self) -> Self
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Performs specific operation.
impl<N, D> AbstractMagma<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
D: DimName,
N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
DefaultAllocator: Allocator<N, D, D>,
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D: DimName,
N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
DefaultAllocator: Allocator<N, D, D>,
fn operate(
&self,
other: &Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
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&self,
other: &Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
) -> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>
default fn op(&self, O, lhs: &Self) -> Self
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Performs specific operation.
impl<N, D, R> AbstractMagma<Multiplicative> for Isometry<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
fn operate(&self, rhs: &Isometry<N, D, R>) -> Isometry<N, D, R>
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default fn op(&self, O, lhs: &Self) -> Self
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Performs specific operation.
impl<N> AbstractMagma<Multiplicative> for Unit<Complex<N>> where
N: RealField,
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N: RealField,
fn operate(&self, rhs: &Unit<Complex<N>>) -> Unit<Complex<N>>
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default fn op(&self, O, lhs: &Self) -> Self
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Performs specific operation.
impl<N> AbstractMonoid<Multiplicative> for Unit<Quaternion<N>> where
N: RealField,
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N: RealField,
default fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
default fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N, D, C> AbstractMonoid<Multiplicative> for Transform<N, D, C> where
C: TCategory,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
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C: TCategory,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
default fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
default fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N, D, R> AbstractMonoid<Multiplicative> for Isometry<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
default fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
default fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N, D> AbstractMonoid<Multiplicative> for Translation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
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D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
default fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq<Self>,
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Self: RelativeEq<Self>,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
default fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
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Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N> AbstractMonoid<Multiplicative> for Quaternion<N> where
N: RealField,
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N: RealField,
default fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
default fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
[src]
Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N> AbstractMonoid<Multiplicative> for Unit<Complex<N>> where
N: RealField,
[src]
N: RealField,
default fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
default fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
[src]
Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N, D> AbstractMonoid<Multiplicative> for Rotation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
[src]
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
default fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
default fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
[src]
Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N, D> AbstractMonoid<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
D: DimName,
N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + AbstractMonoid<Multiplicative> + One,
DefaultAllocator: Allocator<N, D, D>,
[src]
D: DimName,
N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + AbstractMonoid<Multiplicative> + One,
DefaultAllocator: Allocator<N, D, D>,
default fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
default fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
[src]
Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N, D, R> AbstractMonoid<Multiplicative> for Similarity<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
[src]
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
default fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
default fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
[src]
Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N, D> AbstractQuasigroup<Multiplicative> for Translation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
[src]
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, U1>,
default fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if latin squareness holds for the given arguments. Read more
impl<N> AbstractQuasigroup<Multiplicative> for Unit<Complex<N>> where
N: RealField,
[src]
N: RealField,
default fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if latin squareness holds for the given arguments. Read more
impl<N, D> AbstractQuasigroup<Multiplicative> for Rotation<N, D> where
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
[src]
D: DimName,
N: RealField,
DefaultAllocator: Allocator<N, D, D>,
default fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if latin squareness holds for the given arguments. Read more
impl<N, D, R> AbstractQuasigroup<Multiplicative> for Similarity<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
[src]
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
default fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if latin squareness holds for the given arguments. Read more
impl<N, D, R> AbstractQuasigroup<Multiplicative> for Isometry<N, D, R> where
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
[src]
D: DimName,
N: RealField,
R: Rotation<Point<N, D>>,
DefaultAllocator: Allocator<N, D, U1>,
default fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if latin squareness holds for the given arguments. Read more
impl<N> AbstractQuasigroup<Multiplicative> for Unit<Quaternion<N>> where
N: RealField,
[src]
N: RealField,
default fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if latin squareness holds for the given arguments. Read more
impl<N, D, C> AbstractQuasigroup<Multiplicative> for Transform<N, D, C> where
C: SubTCategoryOf<TProjective>,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
[src]
C: SubTCategoryOf<TProjective>,
D: DimNameAdd<U1>,
N: RealField,
DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
default fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if latin squareness holds for the given arguments. Read more
impl<N> AbstractRingCommutative<Additive, Multiplicative> for Complex<N> where
N: AbstractRingCommutative<Additive, Multiplicative> + ClosedNeg + Clone + Num,
[src]
N: AbstractRingCommutative<Additive, Multiplicative> + ClosedNeg + Clone + Num,
default fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more
default fn prop_mul_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if the multiplication operator is commutative for the given argument tuple.
impl Copy for Multiplicative
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impl Clone for Multiplicative
[src]
fn clone(&self) -> Multiplicative
[src]
default fn clone_from(&mut self, source: &Self)
1.0.0[src]
Performs copy-assignment from source
. Read more
impl<N> AbstractGroup<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
[src]
N: Num + Clone + ClosedNeg,
impl<N> AbstractLoop<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
[src]
N: Num + Clone + ClosedNeg,
impl<N> TwoSidedInverse<Multiplicative> for Complex<N> where
N: ClosedNeg + Clone + Num,
[src]
N: ClosedNeg + Clone + Num,
fn two_sided_inverse(&self) -> Complex<N>
[src]
default fn two_sided_inverse_mut(&mut self)
[src]
In-place inversion of self
, relative to the operator O
. Read more
impl<N> AbstractModule<Additive, Additive, Multiplicative> for Complex<N> where
N: AbstractRingCommutative<Additive, Multiplicative> + ClosedNeg + Num,
[src]
N: AbstractRingCommutative<Additive, Multiplicative> + ClosedNeg + Num,
impl<N> AbstractField<Additive, Multiplicative> for Complex<N> where
N: AbstractField<Additive, Multiplicative> + ClosedNeg + Clone + Num,
[src]
N: AbstractField<Additive, Multiplicative> + ClosedNeg + Clone + Num,
impl<N> AbstractQuasigroup<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
[src]
N: Num + Clone + ClosedNeg,
default fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if latin squareness holds for the given arguments. Read more
impl<N> AbstractMagma<Multiplicative> for Complex<N> where
N: Clone + Num,
[src]
N: Clone + Num,
fn operate(&self, lhs: &Complex<N>) -> Complex<N>
[src]
default fn op(&self, O, lhs: &Self) -> Self
[src]
Performs specific operation.
impl Operator for Multiplicative
[src]
fn operator_token() -> Multiplicative
[src]
impl<N> Identity<Multiplicative> for Complex<N> where
N: Clone + Num,
[src]
N: Clone + Num,
impl Identity<Multiplicative> for i64
[src]
impl Identity<Multiplicative> for u16
[src]
impl Identity<Multiplicative> for f64
[src]
impl Identity<Multiplicative> for i8
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impl Identity<Multiplicative> for isize
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impl Identity<Multiplicative> for i32
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impl Identity<Multiplicative> for u8
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impl Identity<Multiplicative> for u64
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impl Identity<Multiplicative> for usize
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impl Identity<Multiplicative> for i16
[src]
impl Identity<Multiplicative> for u32
[src]
impl Identity<Multiplicative> for f32
[src]
impl<N> AbstractRing<Additive, Multiplicative> for Complex<N> where
N: AbstractRing<Additive, Multiplicative> + ClosedNeg + Clone + Num,
[src]
N: AbstractRing<Additive, Multiplicative> + ClosedNeg + Clone + Num,
default fn prop_mul_and_add_are_distributive_approx(
args: (Self, Self, Self)
) -> bool where
Self: RelativeEq<Self>,
[src]
args: (Self, Self, Self)
) -> bool where
Self: RelativeEq<Self>,
Returns true
if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications. Read more
default fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if the multiplication and addition operators are distributive for the given argument tuple. Read more
impl<N> AbstractGroupAbelian<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
[src]
N: Num + Clone + ClosedNeg,
default fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more
default fn prop_is_commutative(args: (Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if the operator is commutative for the given argument tuple.
impl<N> AbstractMonoid<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
[src]
N: Num + Clone + ClosedNeg,
default fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
default fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
Self: Eq,
[src]
Self: Eq,
Checks whether operating with the identity element is a no-op for the given argument. Read more
impl<N> AbstractSemigroup<Multiplicative> for Complex<N> where
N: Num + Clone + ClosedNeg,
[src]
N: Num + Clone + ClosedNeg,
default fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq<Self>,
[src]
Self: RelativeEq<Self>,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
default fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if associativity holds for the given arguments.
Auto Trait Implementations
impl Send for Multiplicative
impl Sync for Multiplicative
Blanket Implementations
impl<V> IntoVec for V
[src]
impl<V> IntoPnt for V
[src]
impl<T, U> Into for T where
U: From<T>,
[src]
U: From<T>,
impl<T> ToOwned for T where
T: Clone,
[src]
T: Clone,
impl<T> From for T
[src]
impl<T, U> TryFrom for T where
U: Into<T>,
[src]
U: Into<T>,
type Error = Infallible
The type returned in the event of a conversion error.
fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
[src]
impl<T> Borrow for T where
T: ?Sized,
[src]
T: ?Sized,
impl<T> BorrowMut for T where
T: ?Sized,
[src]
T: ?Sized,
fn borrow_mut(&mut self) -> &mut T
[src]
impl<T, U> TryInto for T where
U: TryFrom<T>,
[src]
U: TryFrom<T>,
type Error = <U as TryFrom<T>>::Error
The type returned in the event of a conversion error.
fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
[src]
impl<T> Any for T where
T: 'static + ?Sized,
[src]
T: 'static + ?Sized,
impl<T> Same for T
type Output = T
Should always be Self
impl<SS, SP> SupersetOf for SP where
SS: SubsetOf<SP>,
[src]
SS: SubsetOf<SP>,