[−][src]Struct na::Additive
The addition operator, commonly symbolized by +
.
Trait Implementations
impl<N> AbstractGroup<Additive> for Quaternion<N> where
N: Real,
[src]
N: Real,
impl<N, R, C> AbstractGroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractGroup<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
[src]
C: DimName,
N: Scalar + AbstractGroup<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
impl<N> AbstractSemigroup<Additive> for Quaternion<N> where
N: Real,
[src]
N: Real,
fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,
[src]
Self: RelativeEq,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if associativity holds for the given arguments.
impl<N, R, C> AbstractSemigroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractSemigroup<Additive> + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
[src]
C: DimName,
N: Scalar + AbstractSemigroup<Additive> + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
Self: RelativeEq,
[src]
Self: RelativeEq,
Returns true
if associativity holds for the given arguments. Approximate equality is used for verifications. Read more
fn prop_is_associative(args: (Self, Self, Self)) -> bool where
Self: Eq,
[src]
Self: Eq,
Returns true
if associativity holds for the given arguments.
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>,
[src]
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>
[src]
&self,
n: N
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
impl<N> AbstractModule<Additive, Additive, Multiplicative> for Quaternion<N> where
N: Real,
[src]
N: Real,
impl<N, R, C> TwoSidedInverse<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
[src]
C: DimName,
N: Scalar + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn two_sided_inverse(
&self
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
[src]
&self
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
fn two_sided_inverse_mut(&mut self)
[src]
impl<N> TwoSidedInverse<Additive> for Quaternion<N> where
N: Real,
[src]
N: Real,
fn two_sided_inverse(&self) -> Quaternion<N>
[src]
fn two_sided_inverse_mut(&mut self)
[src]
In-place inversion of self
, relative to the operator O
. Read more
impl<N> AbstractLoop<Additive> for Quaternion<N> where
N: Real,
[src]
N: Real,
impl<N, R, C> AbstractLoop<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractLoop<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
[src]
C: DimName,
N: Scalar + AbstractLoop<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
impl<N> AbstractGroupAbelian<Additive> for Quaternion<N> where
N: Real,
[src]
N: Real,
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
[src]
Self: RelativeEq,
Returns true
if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more
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, R, C> AbstractGroupAbelian<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractGroupAbelian<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
[src]
C: DimName,
N: Scalar + AbstractGroupAbelian<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
[src]
Self: RelativeEq,
Returns true
if the operator is commutative for the given argument tuple. Approximate equality is used for verifications. Read more
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, R, C> Identity<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + Zero,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
[src]
C: DimName,
N: Scalar + Zero,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn identity(
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
[src]
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
fn id(O) -> Self
[src]
Specific identity.
impl<N> Identity<Additive> for Quaternion<N> where
N: Real,
[src]
N: Real,
impl<N> AbstractMagma<Additive> for Quaternion<N> where
N: Real,
[src]
N: Real,
fn operate(&self, rhs: &Quaternion<N>) -> Quaternion<N>
[src]
fn op(&self, O, lhs: &Self) -> Self
[src]
Performs specific operation.
impl<N, R, C> AbstractMagma<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
[src]
C: DimName,
N: Scalar + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn operate(
&self,
other: &Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
[src]
&self,
other: &Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
) -> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>
fn op(&self, O, lhs: &Self) -> Self
[src]
Performs specific operation.
impl<N, R, C> AbstractMonoid<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractMonoid<Additive> + Zero + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
[src]
C: DimName,
N: Scalar + AbstractMonoid<Additive> + Zero + ClosedAdd<N>,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
[src]
Self: RelativeEq,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
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<Additive> for Quaternion<N> where
N: Real,
[src]
N: Real,
fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
Self: RelativeEq,
[src]
Self: RelativeEq,
Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications. Read more
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, R, C> AbstractQuasigroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
C: DimName,
N: Scalar + AbstractQuasigroup<Additive> + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
[src]
C: DimName,
N: Scalar + AbstractQuasigroup<Additive> + ClosedAdd<N> + ClosedNeg,
R: DimName,
DefaultAllocator: Allocator<N, R, C>,
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
[src]
Self: RelativeEq,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
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<Additive> for Quaternion<N> where
N: Real,
[src]
N: Real,
fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
Self: RelativeEq,
[src]
Self: RelativeEq,
Returns true
if latin squareness holds for the given arguments. Approximate equality is used for verifications. Read more
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 Clone for Additive
[src]
fn clone(&self) -> Additive
[src]
fn clone_from(&mut self, source: &Self)
1.0.0[src]
Performs copy-assignment from source
. Read more
impl Operator for Additive
[src]
fn operator_token() -> Additive
[src]
impl Identity<Additive> for f64
[src]
impl Identity<Additive> for i16
[src]
impl Identity<Additive> for u16
[src]
impl Identity<Additive> for u8
[src]
impl Identity<Additive> for usize
[src]
impl Identity<Additive> for i32
[src]
impl<N> Identity<Additive> for Complex<N> where
N: Identity<Additive>,
[src]
N: Identity<Additive>,
impl Identity<Additive> for u64
[src]
impl Identity<Additive> for isize
[src]
impl Identity<Additive> for f32
[src]
impl Identity<Additive> for i64
[src]
impl Identity<Additive> for i8
[src]
impl Identity<Additive> for u32
[src]
impl Copy for Additive
[src]
Auto Trait Implementations
Blanket Implementations
impl<V> IntoVec for V
[src]
impl<V> IntoPnt for V
[src]
impl<T> ToOwned for T where
T: Clone,
[src]
T: Clone,
impl<T, U> Into for T where
U: From<T>,
[src]
U: From<T>,
impl<T> From for T
[src]
impl<T, U> TryFrom for T where
U: Into<T>,
[src]
U: Into<T>,
type Error = !
try_from
)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> Any for T where
T: 'static + ?Sized,
[src]
T: 'static + ?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
try_from
)The type returned in the event of a conversion error.
fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
[src]
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>,