Struct nalgebra::geometry::DualQuaternion [−][src]
A dual quaternion.
Indexing
DualQuaternions are stored as [..real, ..dual].
Both of the quaternion components are laid out in i, j, k, w
order.
let real = Quaternion::new(1.0, 2.0, 3.0, 4.0); let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0); let dq = DualQuaternion::from_real_and_dual(real, dual); assert_eq!(dq[0], 2.0); assert_eq!(dq[1], 3.0); assert_eq!(dq[4], 6.0); assert_eq!(dq[7], 5.0);
NOTE: As of December 2020, dual quaternion support is a work in progress. If a feature that you need is missing, feel free to open an issue or a PR. See https://github.com/dimforge/nalgebra/issues/487
Fields
real: Quaternion<N>
The real component of the quaternion
dual: Quaternion<N>
The dual component of the quaternion
Implementations
impl<N: SimdRealField> DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
#[must_use = "Did you mean to use normalize_mut()?"]pub fn normalize(&self) -> Self
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Normalizes this quaternion.
Example
let real = Quaternion::new(1.0, 2.0, 3.0, 4.0); let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0); let dq = DualQuaternion::from_real_and_dual(real, dual); let dq_normalized = dq.normalize(); relative_eq!(dq_normalized.real.norm(), 1.0);
pub fn normalize_mut(&mut self) -> N
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Normalizes this quaternion.
Example
let real = Quaternion::new(1.0, 2.0, 3.0, 4.0); let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0); let mut dq = DualQuaternion::from_real_and_dual(real, dual); dq.normalize_mut(); relative_eq!(dq.real.norm(), 1.0);
#[must_use = "Did you mean to use conjugate_mut()?"]pub fn conjugate(&self) -> Self
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The conjugate of this dual quaternion, containing the conjugate of the real and imaginary parts..
Example
let real = Quaternion::new(1.0, 2.0, 3.0, 4.0); let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0); let dq = DualQuaternion::from_real_and_dual(real, dual); let conj = dq.conjugate(); assert!(conj.real.i == -2.0 && conj.real.j == -3.0 && conj.real.k == -4.0); assert!(conj.real.w == 1.0); assert!(conj.dual.i == -6.0 && conj.dual.j == -7.0 && conj.dual.k == -8.0); assert!(conj.dual.w == 5.0);
pub fn conjugate_mut(&mut self)
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Replaces this quaternion by its conjugate.
Example
let real = Quaternion::new(1.0, 2.0, 3.0, 4.0); let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0); let mut dq = DualQuaternion::from_real_and_dual(real, dual); dq.conjugate_mut(); assert!(dq.real.i == -2.0 && dq.real.j == -3.0 && dq.real.k == -4.0); assert!(dq.real.w == 1.0); assert!(dq.dual.i == -6.0 && dq.dual.j == -7.0 && dq.dual.k == -8.0); assert!(dq.dual.w == 5.0);
#[must_use = "Did you mean to use try_inverse_mut()?"]pub fn try_inverse(&self) -> Option<Self> where
N: RealField,
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N: RealField,
Inverts this dual quaternion if it is not zero.
Example
let real = Quaternion::new(1.0, 2.0, 3.0, 4.0); let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0); let dq = DualQuaternion::from_real_and_dual(real, dual); let inverse = dq.try_inverse(); assert!(inverse.is_some()); assert_relative_eq!(inverse.unwrap() * dq, DualQuaternion::identity()); //Non-invertible case let zero = Quaternion::new(0.0, 0.0, 0.0, 0.0); let dq = DualQuaternion::from_real_and_dual(zero, zero); let inverse = dq.try_inverse(); assert!(inverse.is_none());
pub fn try_inverse_mut(&mut self) -> bool where
N: RealField,
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N: RealField,
Inverts this dual quaternion in-place if it is not zero.
Example
let real = Quaternion::new(1.0, 2.0, 3.0, 4.0); let dual = Quaternion::new(5.0, 6.0, 7.0, 8.0); let dq = DualQuaternion::from_real_and_dual(real, dual); let mut dq_inverse = dq; dq_inverse.try_inverse_mut(); assert_relative_eq!(dq_inverse * dq, DualQuaternion::identity()); //Non-invertible case let zero = Quaternion::new(0.0, 0.0, 0.0, 0.0); let mut dq = DualQuaternion::from_real_and_dual(zero, zero); assert!(!dq.try_inverse_mut());
pub fn lerp(&self, other: &Self, t: N) -> Self
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Linear interpolation between two dual quaternions.
Computes self * (1 - t) + other * t
.
Example
let dq1 = DualQuaternion::from_real_and_dual( Quaternion::new(1.0, 0.0, 0.0, 4.0), Quaternion::new(0.0, 2.0, 0.0, 0.0) ); let dq2 = DualQuaternion::from_real_and_dual( Quaternion::new(2.0, 0.0, 1.0, 0.0), Quaternion::new(0.0, 2.0, 0.0, 0.0) ); assert_eq!(dq1.lerp(&dq2, 0.25), DualQuaternion::from_real_and_dual( Quaternion::new(1.25, 0.0, 0.25, 3.0), Quaternion::new(0.0, 2.0, 0.0, 0.0) ));
impl<N: Scalar> DualQuaternion<N>
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pub fn from_real_and_dual(real: Quaternion<N>, dual: Quaternion<N>) -> Self
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Creates a dual quaternion from its rotation and translation components.
Example
let rot = Quaternion::new(1.0, 2.0, 3.0, 4.0); let trans = Quaternion::new(5.0, 6.0, 7.0, 8.0); let dq = DualQuaternion::from_real_and_dual(rot, trans); assert_eq!(dq.real.w, 1.0);
pub fn identity() -> Self where
N: SimdRealField,
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N: SimdRealField,
The dual quaternion multiplicative identity.
Example
let dq1 = DualQuaternion::identity(); let dq2 = DualQuaternion::from_real_and_dual( Quaternion::new(1.,2.,3.,4.), Quaternion::new(5.,6.,7.,8.) ); assert_eq!(dq1 * dq2, dq2); assert_eq!(dq2 * dq1, dq2);
pub fn cast<To: Scalar>(self) -> DualQuaternion<To> where
DualQuaternion<To>: SupersetOf<Self>,
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DualQuaternion<To>: SupersetOf<Self>,
Cast the components of self
to another type.
Example
let q = DualQuaternion::from_real(Quaternion::new(1.0f64, 2.0, 3.0, 4.0)); let q2 = q.cast::<f32>(); assert_eq!(q2, DualQuaternion::from_real(Quaternion::new(1.0f32, 2.0, 3.0, 4.0)));
impl<N: SimdRealField> DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
pub fn from_real(real: Quaternion<N>) -> Self
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Creates a dual quaternion from only its real part, with no translation component.
Example
let rot = Quaternion::new(1.0, 2.0, 3.0, 4.0); let dq = DualQuaternion::from_real(rot); assert_eq!(dq.real.w, 1.0); assert_eq!(dq.dual.w, 0.0);
Trait Implementations
impl<N: RealField + AbsDiffEq<Epsilon = N>> AbsDiffEq<DualQuaternion<N>> for DualQuaternion<N>
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type Epsilon = N
Used for specifying relative comparisons.
fn default_epsilon() -> Self::Epsilon
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fn abs_diff_eq(&self, other: &Self, epsilon: Self::Epsilon) -> bool
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pub fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool
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impl<'a, 'b, N: SimdRealField> Add<&'b DualQuaternion<N>> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the +
operator.
fn add(self, rhs: &'b DualQuaternion<N>) -> Self::Output
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impl<'b, N: SimdRealField> Add<&'b DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the +
operator.
fn add(self, rhs: &'b DualQuaternion<N>) -> Self::Output
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impl<'a, N: SimdRealField> Add<DualQuaternion<N>> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the +
operator.
fn add(self, rhs: DualQuaternion<N>) -> Self::Output
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impl<N: SimdRealField> Add<DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the +
operator.
fn add(self, rhs: DualQuaternion<N>) -> Self::Output
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impl<'b, N: SimdRealField> AddAssign<&'b DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
fn add_assign(&mut self, rhs: &'b DualQuaternion<N>)
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impl<N: SimdRealField> AddAssign<DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
fn add_assign(&mut self, rhs: DualQuaternion<N>)
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impl<N: SimdRealField> AsMut<[N; 8]> for DualQuaternion<N>
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impl<N: SimdRealField> AsRef<[N; 8]> for DualQuaternion<N>
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impl<N: Clone + Scalar> Clone for DualQuaternion<N>
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fn clone(&self) -> DualQuaternion<N>
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pub fn clone_from(&mut self, source: &Self)
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impl<N: Copy + Scalar> Copy for DualQuaternion<N>
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impl<N: Debug + Scalar> Debug for DualQuaternion<N>
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impl<N: Scalar + Zero> Default for DualQuaternion<N>
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impl<'a, 'b, N: SimdRealField> Div<&'b Unit<DualQuaternion<N>>> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the /
operator.
fn div(self, rhs: &'b UnitDualQuaternion<N>) -> Self::Output
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impl<'b, N: SimdRealField> Div<&'b Unit<DualQuaternion<N>>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the /
operator.
fn div(self, rhs: &'b UnitDualQuaternion<N>) -> Self::Output
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impl<N: SimdRealField> Div<N> for DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
type Output = DualQuaternion<N>
The resulting type after applying the /
operator.
fn div(self, n: N) -> Self::Output
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impl<'a, N: SimdRealField> Div<N> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
type Output = DualQuaternion<N>
The resulting type after applying the /
operator.
fn div(self, n: N) -> Self::Output
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impl<'a, N: SimdRealField> Div<Unit<DualQuaternion<N>>> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the /
operator.
fn div(self, rhs: UnitDualQuaternion<N>) -> Self::Output
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impl<N: SimdRealField> Div<Unit<DualQuaternion<N>>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the /
operator.
fn div(self, rhs: UnitDualQuaternion<N>) -> Self::Output
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impl<'b, N: SimdRealField> DivAssign<&'b Unit<DualQuaternion<N>>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
fn div_assign(&mut self, rhs: &'b UnitDualQuaternion<N>)
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impl<N: SimdRealField> DivAssign<N> for DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
fn div_assign(&mut self, n: N)
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impl<N: SimdRealField> DivAssign<Unit<DualQuaternion<N>>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
fn div_assign(&mut self, rhs: UnitDualQuaternion<N>)
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impl<N: Eq + Scalar> Eq for DualQuaternion<N>
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impl<N: SimdRealField> Index<usize> for DualQuaternion<N>
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impl<N: SimdRealField> IndexMut<usize> for DualQuaternion<N>
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impl<'a, 'b, N: SimdRealField> Mul<&'b DualQuaternion<N>> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: &'b DualQuaternion<N>) -> Self::Output
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impl<'b, N: SimdRealField> Mul<&'b DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: &'b DualQuaternion<N>) -> Self::Output
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impl<'a, 'b, N: SimdRealField> Mul<&'b DualQuaternion<N>> for &'a UnitDualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: &'b DualQuaternion<N>) -> Self::Output
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impl<'b, N: SimdRealField> Mul<&'b DualQuaternion<N>> for UnitDualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: &'b DualQuaternion<N>) -> Self::Output
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impl<'a, 'b, N: SimdRealField> Mul<&'b Unit<DualQuaternion<N>>> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: &'b UnitDualQuaternion<N>) -> Self::Output
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impl<'b, N: SimdRealField> Mul<&'b Unit<DualQuaternion<N>>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: &'b UnitDualQuaternion<N>) -> Self::Output
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impl<'a, N: SimdRealField> Mul<DualQuaternion<N>> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: DualQuaternion<N>) -> Self::Output
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impl<N: SimdRealField> Mul<DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: DualQuaternion<N>) -> Self::Output
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impl<'a, N: SimdRealField> Mul<DualQuaternion<N>> for &'a UnitDualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: DualQuaternion<N>) -> Self::Output
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impl<N: SimdRealField> Mul<DualQuaternion<N>> for UnitDualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: DualQuaternion<N>) -> Self::Output
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impl<N: SimdRealField> Mul<N> for DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, n: N) -> Self::Output
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impl<'a, N: SimdRealField> Mul<N> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, n: N) -> Self::Output
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impl<'a, N: SimdRealField> Mul<Unit<DualQuaternion<N>>> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: UnitDualQuaternion<N>) -> Self::Output
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impl<N: SimdRealField> Mul<Unit<DualQuaternion<N>>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the *
operator.
fn mul(self, rhs: UnitDualQuaternion<N>) -> Self::Output
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impl<'b, N: SimdRealField> MulAssign<&'b DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
fn mul_assign(&mut self, rhs: &'b DualQuaternion<N>)
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impl<'b, N: SimdRealField> MulAssign<&'b Unit<DualQuaternion<N>>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
fn mul_assign(&mut self, rhs: &'b UnitDualQuaternion<N>)
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impl<N: SimdRealField> MulAssign<DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
fn mul_assign(&mut self, rhs: DualQuaternion<N>)
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impl<N: SimdRealField> MulAssign<N> for DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
fn mul_assign(&mut self, n: N)
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impl<N: SimdRealField> MulAssign<Unit<DualQuaternion<N>>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
fn mul_assign(&mut self, rhs: UnitDualQuaternion<N>)
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impl<N: SimdRealField> Neg for DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
type Output = DualQuaternion<N>
The resulting type after applying the -
operator.
fn neg(self) -> Self::Output
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impl<'a, N: SimdRealField> Neg for &'a DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
type Output = DualQuaternion<N>
The resulting type after applying the -
operator.
fn neg(self) -> Self::Output
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impl<N: SimdRealField> Normed for DualQuaternion<N>
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type Norm = N::SimdRealField
The type of the norm.
fn norm(&self) -> N::SimdRealField
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fn norm_squared(&self) -> N::SimdRealField
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fn scale_mut(&mut self, n: Self::Norm)
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fn unscale_mut(&mut self, n: Self::Norm)
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impl<N: SimdRealField> One for DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
fn one() -> Self
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pub fn set_one(&mut self)
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pub fn is_one(&self) -> bool where
Self: PartialEq<Self>,
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Self: PartialEq<Self>,
impl<N: PartialEq + Scalar> PartialEq<DualQuaternion<N>> for DualQuaternion<N>
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fn eq(&self, other: &DualQuaternion<N>) -> bool
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fn ne(&self, other: &DualQuaternion<N>) -> bool
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impl<N: RealField + RelativeEq<Epsilon = N>> RelativeEq<DualQuaternion<N>> for DualQuaternion<N>
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fn default_max_relative() -> Self::Epsilon
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fn relative_eq(
&self,
other: &Self,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
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&self,
other: &Self,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
pub fn relative_ne(
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
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&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
impl<N: Scalar> StructuralEq for DualQuaternion<N>
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impl<N: Scalar> StructuralPartialEq for DualQuaternion<N>
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impl<'a, 'b, N: SimdRealField> Sub<&'b DualQuaternion<N>> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the -
operator.
fn sub(self, rhs: &'b DualQuaternion<N>) -> Self::Output
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impl<'b, N: SimdRealField> Sub<&'b DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the -
operator.
fn sub(self, rhs: &'b DualQuaternion<N>) -> Self::Output
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impl<'a, N: SimdRealField> Sub<DualQuaternion<N>> for &'a DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the -
operator.
fn sub(self, rhs: DualQuaternion<N>) -> Self::Output
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impl<N: SimdRealField> Sub<DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
type Output = DualQuaternion<N>
The resulting type after applying the -
operator.
fn sub(self, rhs: DualQuaternion<N>) -> Self::Output
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impl<'b, N: SimdRealField> SubAssign<&'b DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
fn sub_assign(&mut self, rhs: &'b DualQuaternion<N>)
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impl<N: SimdRealField> SubAssign<DualQuaternion<N>> for DualQuaternion<N> where
N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
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N::Element: SimdRealField,
DefaultAllocator: Allocator<N, U4, U1>,
fn sub_assign(&mut self, rhs: DualQuaternion<N>)
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impl<N1, N2> SubsetOf<DualQuaternion<N2>> for DualQuaternion<N1> where
N1: SimdRealField,
N2: SimdRealField + SupersetOf<N1>,
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N1: SimdRealField,
N2: SimdRealField + SupersetOf<N1>,
fn to_superset(&self) -> DualQuaternion<N2>
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fn is_in_subset(dq: &DualQuaternion<N2>) -> bool
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fn from_superset_unchecked(dq: &DualQuaternion<N2>) -> Self
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pub fn from_superset(element: &T) -> Option<Self>
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impl<N: RealField + UlpsEq<Epsilon = N>> UlpsEq<DualQuaternion<N>> for DualQuaternion<N>
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fn default_max_ulps() -> u32
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fn ulps_eq(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool
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pub fn ulps_ne(
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_ulps: u32
) -> bool
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&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_ulps: u32
) -> bool
impl<N: SimdRealField> Zero for DualQuaternion<N> where
N::Element: SimdRealField,
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N::Element: SimdRealField,
Auto Trait Implementations
impl<N> RefUnwindSafe for DualQuaternion<N> where
N: RefUnwindSafe,
N: RefUnwindSafe,
impl<N> Send for DualQuaternion<N> where
N: Send,
N: Send,
impl<N> Sync for DualQuaternion<N> where
N: Sync,
N: Sync,
impl<N> Unpin for DualQuaternion<N> where
N: Unpin,
N: Unpin,
impl<N> UnwindSafe for DualQuaternion<N> where
N: UnwindSafe,
N: UnwindSafe,
Blanket Implementations
impl<T> Any for T where
T: 'static + ?Sized,
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T: 'static + ?Sized,
impl<T> Borrow<T> for T where
T: ?Sized,
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T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
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T: ?Sized,
pub fn borrow_mut(&mut self) -> &mut T
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impl<T, Right> ClosedAdd<Right> for T where
T: Add<Right, Output = T> + AddAssign<Right>,
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T: Add<Right, Output = T> + AddAssign<Right>,
impl<T, Right> ClosedDiv<Right> for T where
T: Div<Right, Output = T> + DivAssign<Right>,
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T: Div<Right, Output = T> + DivAssign<Right>,
impl<T, Right> ClosedMul<Right> for T where
T: Mul<Right, Output = T> + MulAssign<Right>,
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T: Mul<Right, Output = T> + MulAssign<Right>,
impl<T> ClosedNeg for T where
T: Neg<Output = T>,
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T: Neg<Output = T>,
impl<T, Right> ClosedSub<Right> for T where
T: Sub<Right, Output = T> + SubAssign<Right>,
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T: Sub<Right, Output = T> + SubAssign<Right>,
impl<T> From<T> for T
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impl<T, U> Into<U> for T where
U: From<T>,
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U: From<T>,
impl<T> Same<T> for T
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type Output = T
Should always be Self
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
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SS: SubsetOf<SP>,
pub fn to_subset(&self) -> Option<SS>
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pub fn is_in_subset(&self) -> bool
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pub fn to_subset_unchecked(&self) -> SS
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pub fn from_subset(element: &SS) -> SP
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impl<T> ToOwned for T where
T: Clone,
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T: Clone,
type Owned = T
The resulting type after obtaining ownership.
pub fn to_owned(&self) -> T
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pub fn clone_into(&self, target: &mut T)
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impl<T, U> TryFrom<U> for T where
U: Into<T>,
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U: Into<T>,
type Error = Infallible
The type returned in the event of a conversion error.
pub fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
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impl<T, U> TryInto<U> for T where
U: TryFrom<T>,
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U: TryFrom<T>,
type Error = <U as TryFrom<T>>::Error
The type returned in the event of a conversion error.
pub fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
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impl<V, T> VZip<V> for T where
V: MultiLane<T>,
V: MultiLane<T>,