Struct heron::rapier_plugin::rapier::parry::na::DualQuaternion [−][src]
#[repr(C)]pub struct DualQuaternion<T> where
T: Scalar, { pub real: Quaternion<T>, pub dual: Quaternion<T>, }
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<T>
The real component of the quaternion
dual: Quaternion<T>
The dual component of the quaternion
Implementations
impl<T> DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
#[must_use = "Did you mean to use normalize_mut()?"]pub fn normalize(&self) -> DualQuaternion<T>
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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) -> T
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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) -> DualQuaternion<T>
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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<DualQuaternion<T>> where
T: RealField,
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T: 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
T: RealField,
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T: 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: &DualQuaternion<T>, t: T) -> DualQuaternion<T>
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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<T> DualQuaternion<T> where
T: Scalar,
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T: Scalar,
pub fn from_real_and_dual(
real: Quaternion<T>,
dual: Quaternion<T>
) -> DualQuaternion<T>
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real: Quaternion<T>,
dual: Quaternion<T>
) -> DualQuaternion<T>
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() -> DualQuaternion<T> where
T: SimdRealField,
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T: 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>(self) -> DualQuaternion<To> where
To: Scalar,
DualQuaternion<To>: SupersetOf<DualQuaternion<T>>,
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To: Scalar,
DualQuaternion<To>: SupersetOf<DualQuaternion<T>>,
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<T> DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn from_real(real: Quaternion<T>) -> DualQuaternion<T>
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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<T> AbsDiffEq<DualQuaternion<T>> for DualQuaternion<T> where
T: RealField<Epsilon = T> + AbsDiffEq<T>,
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T: RealField<Epsilon = T> + AbsDiffEq<T>,
type Epsilon = T
Used for specifying relative comparisons.
pub fn default_epsilon(
) -> <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon
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) -> <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon
pub fn abs_diff_eq(
&self,
other: &DualQuaternion<T>,
epsilon: <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon
) -> bool
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&self,
other: &DualQuaternion<T>,
epsilon: <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon
) -> bool
pub fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool
impl<'a, 'b, T> Add<&'b DualQuaternion<T>> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the +
operator.
pub fn add(
self,
rhs: &'b DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Add<&'b DualQuaternion<T>>>::Output
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self,
rhs: &'b DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Add<&'b DualQuaternion<T>>>::Output
impl<'b, T> Add<&'b DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the +
operator.
pub fn add(
self,
rhs: &'b DualQuaternion<T>
) -> <DualQuaternion<T> as Add<&'b DualQuaternion<T>>>::Output
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self,
rhs: &'b DualQuaternion<T>
) -> <DualQuaternion<T> as Add<&'b DualQuaternion<T>>>::Output
impl<T> Add<DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the +
operator.
pub fn add(
self,
rhs: DualQuaternion<T>
) -> <DualQuaternion<T> as Add<DualQuaternion<T>>>::Output
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self,
rhs: DualQuaternion<T>
) -> <DualQuaternion<T> as Add<DualQuaternion<T>>>::Output
impl<'a, T> Add<DualQuaternion<T>> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the +
operator.
pub fn add(
self,
rhs: DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Add<DualQuaternion<T>>>::Output
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self,
rhs: DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Add<DualQuaternion<T>>>::Output
impl<'b, T> AddAssign<&'b DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn add_assign(&mut self, rhs: &'b DualQuaternion<T>)
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impl<T> AddAssign<DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn add_assign(&mut self, rhs: DualQuaternion<T>)
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impl<T> AsMut<[T; 8]> for DualQuaternion<T> where
T: SimdRealField,
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T: SimdRealField,
impl<T> AsRef<[T; 8]> for DualQuaternion<T> where
T: SimdRealField,
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T: SimdRealField,
impl<T> Clone for DualQuaternion<T> where
T: Clone + Scalar,
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T: Clone + Scalar,
pub fn clone(&self) -> DualQuaternion<T>
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pub fn clone_from(&mut self, source: &Self)
1.0.0[src]
impl<T> Copy for DualQuaternion<T> where
T: Copy + Scalar,
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T: Copy + Scalar,
impl<T> Debug for DualQuaternion<T> where
T: Debug + Scalar,
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T: Debug + Scalar,
impl<T> Default for DualQuaternion<T> where
T: Scalar + Zero,
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T: Scalar + Zero,
pub fn default() -> DualQuaternion<T>
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impl<'b, T> Div<&'b Unit<DualQuaternion<T>>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the /
operator.
pub fn div(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <DualQuaternion<T> as Div<&'b Unit<DualQuaternion<T>>>>::Output
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self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <DualQuaternion<T> as Div<&'b Unit<DualQuaternion<T>>>>::Output
impl<'a, 'b, T> Div<&'b Unit<DualQuaternion<T>>> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the /
operator.
pub fn div(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <&'a DualQuaternion<T> as Div<&'b Unit<DualQuaternion<T>>>>::Output
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self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <&'a DualQuaternion<T> as Div<&'b Unit<DualQuaternion<T>>>>::Output
impl<T> Div<T> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the /
operator.
pub fn div(self, n: T) -> <DualQuaternion<T> as Div<T>>::Output
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impl<'a, T> Div<T> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the /
operator.
pub fn div(self, n: T) -> <&'a DualQuaternion<T> as Div<T>>::Output
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impl<'a, T> Div<Unit<DualQuaternion<T>>> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the /
operator.
pub fn div(
self,
rhs: Unit<DualQuaternion<T>>
) -> <&'a DualQuaternion<T> as Div<Unit<DualQuaternion<T>>>>::Output
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self,
rhs: Unit<DualQuaternion<T>>
) -> <&'a DualQuaternion<T> as Div<Unit<DualQuaternion<T>>>>::Output
impl<T> Div<Unit<DualQuaternion<T>>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the /
operator.
pub fn div(
self,
rhs: Unit<DualQuaternion<T>>
) -> <DualQuaternion<T> as Div<Unit<DualQuaternion<T>>>>::Output
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self,
rhs: Unit<DualQuaternion<T>>
) -> <DualQuaternion<T> as Div<Unit<DualQuaternion<T>>>>::Output
impl<'b, T> DivAssign<&'b Unit<DualQuaternion<T>>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn div_assign(&mut self, rhs: &'b Unit<DualQuaternion<T>>)
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impl<T> DivAssign<T> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn div_assign(&mut self, n: T)
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impl<T> DivAssign<Unit<DualQuaternion<T>>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn div_assign(&mut self, rhs: Unit<DualQuaternion<T>>)
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impl<T> Eq for DualQuaternion<T> where
T: Eq + Scalar,
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T: Eq + Scalar,
impl<T> Index<usize> for DualQuaternion<T> where
T: SimdRealField,
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T: SimdRealField,
type Output = T
The returned type after indexing.
pub fn index(&self, i: usize) -> &<DualQuaternion<T> as Index<usize>>::Output
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impl<T> IndexMut<usize> for DualQuaternion<T> where
T: SimdRealField,
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T: SimdRealField,
impl<'b, T> Mul<&'b DualQuaternion<T>> for Unit<DualQuaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: &'b DualQuaternion<T>
) -> <Unit<DualQuaternion<T>> as Mul<&'b DualQuaternion<T>>>::Output
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self,
rhs: &'b DualQuaternion<T>
) -> <Unit<DualQuaternion<T>> as Mul<&'b DualQuaternion<T>>>::Output
impl<'b, T> Mul<&'b DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: &'b DualQuaternion<T>
) -> <DualQuaternion<T> as Mul<&'b DualQuaternion<T>>>::Output
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self,
rhs: &'b DualQuaternion<T>
) -> <DualQuaternion<T> as Mul<&'b DualQuaternion<T>>>::Output
impl<'a, 'b, T> Mul<&'b DualQuaternion<T>> for &'a Unit<DualQuaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: &'b DualQuaternion<T>
) -> <&'a Unit<DualQuaternion<T>> as Mul<&'b DualQuaternion<T>>>::Output
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self,
rhs: &'b DualQuaternion<T>
) -> <&'a Unit<DualQuaternion<T>> as Mul<&'b DualQuaternion<T>>>::Output
impl<'a, 'b, T> Mul<&'b DualQuaternion<T>> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
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T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: &'b DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Mul<&'b DualQuaternion<T>>>::Output
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self,
rhs: &'b DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Mul<&'b DualQuaternion<T>>>::Output
impl<'b, T> Mul<&'b Unit<DualQuaternion<T>>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <DualQuaternion<T> as Mul<&'b Unit<DualQuaternion<T>>>>::Output
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self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <DualQuaternion<T> as Mul<&'b Unit<DualQuaternion<T>>>>::Output
impl<'a, 'b, T> Mul<&'b Unit<DualQuaternion<T>>> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <&'a DualQuaternion<T> as Mul<&'b Unit<DualQuaternion<T>>>>::Output
[src]
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <&'a DualQuaternion<T> as Mul<&'b Unit<DualQuaternion<T>>>>::Output
impl<T> Mul<DualQuaternion<T>> for Unit<DualQuaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: DualQuaternion<T>
) -> <Unit<DualQuaternion<T>> as Mul<DualQuaternion<T>>>::Output
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self,
rhs: DualQuaternion<T>
) -> <Unit<DualQuaternion<T>> as Mul<DualQuaternion<T>>>::Output
impl<T> Mul<DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: DualQuaternion<T>
) -> <DualQuaternion<T> as Mul<DualQuaternion<T>>>::Output
[src]
self,
rhs: DualQuaternion<T>
) -> <DualQuaternion<T> as Mul<DualQuaternion<T>>>::Output
impl<'a, T> Mul<DualQuaternion<T>> for &'a Unit<DualQuaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: DualQuaternion<T>
) -> <&'a Unit<DualQuaternion<T>> as Mul<DualQuaternion<T>>>::Output
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self,
rhs: DualQuaternion<T>
) -> <&'a Unit<DualQuaternion<T>> as Mul<DualQuaternion<T>>>::Output
impl<'a, T> Mul<DualQuaternion<T>> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Mul<DualQuaternion<T>>>::Output
[src]
self,
rhs: DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Mul<DualQuaternion<T>>>::Output
impl<'a, T> Mul<T> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(self, n: T) -> <&'a DualQuaternion<T> as Mul<T>>::Output
[src]
impl<T> Mul<T> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(self, n: T) -> <DualQuaternion<T> as Mul<T>>::Output
[src]
impl<T> Mul<Unit<DualQuaternion<T>>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: Unit<DualQuaternion<T>>
) -> <DualQuaternion<T> as Mul<Unit<DualQuaternion<T>>>>::Output
[src]
self,
rhs: Unit<DualQuaternion<T>>
) -> <DualQuaternion<T> as Mul<Unit<DualQuaternion<T>>>>::Output
impl<'a, T> Mul<Unit<DualQuaternion<T>>> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the *
operator.
pub fn mul(
self,
rhs: Unit<DualQuaternion<T>>
) -> <&'a DualQuaternion<T> as Mul<Unit<DualQuaternion<T>>>>::Output
[src]
self,
rhs: Unit<DualQuaternion<T>>
) -> <&'a DualQuaternion<T> as Mul<Unit<DualQuaternion<T>>>>::Output
impl<'b, T> MulAssign<&'b DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn mul_assign(&mut self, rhs: &'b DualQuaternion<T>)
[src]
impl<'b, T> MulAssign<&'b Unit<DualQuaternion<T>>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn mul_assign(&mut self, rhs: &'b Unit<DualQuaternion<T>>)
[src]
impl<T> MulAssign<DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn mul_assign(&mut self, rhs: DualQuaternion<T>)
[src]
impl<T> MulAssign<T> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn mul_assign(&mut self, n: T)
[src]
impl<T> MulAssign<Unit<DualQuaternion<T>>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn mul_assign(&mut self, rhs: Unit<DualQuaternion<T>>)
[src]
impl<'a, T> Neg for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the -
operator.
pub fn neg(self) -> <&'a DualQuaternion<T> as Neg>::Output
[src]
impl<T> Neg for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the -
operator.
pub fn neg(self) -> <DualQuaternion<T> as Neg>::Output
[src]
impl<T> Normed for DualQuaternion<T> where
T: SimdRealField,
[src]
T: SimdRealField,
type Norm = <T as SimdComplexField>::SimdRealField
The type of the norm.
pub fn norm(&self) -> <T as SimdComplexField>::SimdRealField
[src]
pub fn norm_squared(&self) -> <T as SimdComplexField>::SimdRealField
[src]
pub fn scale_mut(&mut self, n: <DualQuaternion<T> as Normed>::Norm)
[src]
pub fn unscale_mut(&mut self, n: <DualQuaternion<T> as Normed>::Norm)
[src]
impl<T> One for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn one() -> DualQuaternion<T>
[src]
pub fn set_one(&mut self)
[src]
pub fn is_one(&self) -> bool where
Self: PartialEq<Self>,
[src]
Self: PartialEq<Self>,
impl<T> PartialEq<DualQuaternion<T>> for DualQuaternion<T> where
T: PartialEq<T> + Scalar,
[src]
T: PartialEq<T> + Scalar,
pub fn eq(&self, other: &DualQuaternion<T>) -> bool
[src]
pub fn ne(&self, other: &DualQuaternion<T>) -> bool
[src]
impl<T> RelativeEq<DualQuaternion<T>> for DualQuaternion<T> where
T: RealField<Epsilon = T> + RelativeEq<T>,
[src]
T: RealField<Epsilon = T> + RelativeEq<T>,
pub fn default_max_relative(
) -> <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon
[src]
) -> <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon
pub fn relative_eq(
&self,
other: &DualQuaternion<T>,
epsilon: <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon,
max_relative: <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon
) -> bool
[src]
&self,
other: &DualQuaternion<T>,
epsilon: <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon,
max_relative: <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon
) -> bool
pub fn relative_ne(
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
impl<T> StructuralEq for DualQuaternion<T> where
T: Scalar,
[src]
T: Scalar,
impl<T> StructuralPartialEq for DualQuaternion<T> where
T: Scalar,
[src]
T: Scalar,
impl<'a, 'b, T> Sub<&'b DualQuaternion<T>> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the -
operator.
pub fn sub(
self,
rhs: &'b DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Sub<&'b DualQuaternion<T>>>::Output
[src]
self,
rhs: &'b DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Sub<&'b DualQuaternion<T>>>::Output
impl<'b, T> Sub<&'b DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the -
operator.
pub fn sub(
self,
rhs: &'b DualQuaternion<T>
) -> <DualQuaternion<T> as Sub<&'b DualQuaternion<T>>>::Output
[src]
self,
rhs: &'b DualQuaternion<T>
) -> <DualQuaternion<T> as Sub<&'b DualQuaternion<T>>>::Output
impl<T> Sub<DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the -
operator.
pub fn sub(
self,
rhs: DualQuaternion<T>
) -> <DualQuaternion<T> as Sub<DualQuaternion<T>>>::Output
[src]
self,
rhs: DualQuaternion<T>
) -> <DualQuaternion<T> as Sub<DualQuaternion<T>>>::Output
impl<'a, T> Sub<DualQuaternion<T>> for &'a DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = DualQuaternion<T>
The resulting type after applying the -
operator.
pub fn sub(
self,
rhs: DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Sub<DualQuaternion<T>>>::Output
[src]
self,
rhs: DualQuaternion<T>
) -> <&'a DualQuaternion<T> as Sub<DualQuaternion<T>>>::Output
impl<'b, T> SubAssign<&'b DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn sub_assign(&mut self, rhs: &'b DualQuaternion<T>)
[src]
impl<T> SubAssign<DualQuaternion<T>> for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
pub fn sub_assign(&mut self, rhs: DualQuaternion<T>)
[src]
impl<T1, T2> SubsetOf<DualQuaternion<T2>> for DualQuaternion<T1> where
T2: SimdRealField + SupersetOf<T1>,
T1: SimdRealField,
[src]
T2: SimdRealField + SupersetOf<T1>,
T1: SimdRealField,
pub fn to_superset(&self) -> DualQuaternion<T2>
[src]
pub fn is_in_subset(dq: &DualQuaternion<T2>) -> bool
[src]
pub fn from_superset_unchecked(dq: &DualQuaternion<T2>) -> DualQuaternion<T1>
[src]
pub fn from_superset(element: &T) -> Option<Self>
impl<T> UlpsEq<DualQuaternion<T>> for DualQuaternion<T> where
T: RealField<Epsilon = T> + UlpsEq<T>,
[src]
T: RealField<Epsilon = T> + UlpsEq<T>,
pub fn default_max_ulps() -> u32
[src]
pub fn ulps_eq(
&self,
other: &DualQuaternion<T>,
epsilon: <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon,
max_ulps: u32
) -> bool
[src]
&self,
other: &DualQuaternion<T>,
epsilon: <DualQuaternion<T> as AbsDiffEq<DualQuaternion<T>>>::Epsilon,
max_ulps: u32
) -> bool
pub fn ulps_ne(
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_ulps: u32
) -> bool
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_ulps: u32
) -> bool
impl<T> Zero for DualQuaternion<T> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
[src]
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
Auto Trait Implementations
impl<T> RefUnwindSafe for DualQuaternion<T> where
T: RefUnwindSafe,
T: RefUnwindSafe,
impl<T> Send for DualQuaternion<T> where
T: Send,
T: Send,
impl<T> Sync for DualQuaternion<T> where
T: Sync,
T: Sync,
impl<T> Unpin for DualQuaternion<T> where
T: Unpin,
T: Unpin,
impl<T> UnwindSafe for DualQuaternion<T> where
T: UnwindSafe,
T: UnwindSafe,
Blanket Implementations
impl<T> Any for T where
T: 'static + ?Sized,
[src]
T: 'static + ?Sized,
impl<T> Any for T where
T: Any,
T: Any,
impl<T> Borrow<T> for T where
T: ?Sized,
[src]
T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
[src]
T: ?Sized,
pub fn borrow_mut(&mut self) -> &mut T
[src]
impl<T> CloneAny for T where
T: Any + Clone,
T: Any + Clone,
impl<T, Right> ClosedAdd<Right> for T where
T: Add<Right, Output = T> + AddAssign<Right>,
T: Add<Right, Output = T> + AddAssign<Right>,
impl<T, Right> ClosedDiv<Right> for T where
T: Div<Right, Output = T> + DivAssign<Right>,
T: Div<Right, Output = T> + DivAssign<Right>,
impl<T, Right> ClosedMul<Right> for T where
T: Mul<Right, Output = T> + MulAssign<Right>,
T: Mul<Right, Output = T> + MulAssign<Right>,
impl<T> ClosedNeg for T where
T: Neg<Output = T>,
T: Neg<Output = T>,
impl<T, Right> ClosedSub<Right> for T where
T: Sub<Right, Output = T> + SubAssign<Right>,
T: Sub<Right, Output = T> + SubAssign<Right>,
impl<T> Component for T where
T: 'static + Send + Sync,
T: 'static + Send + Sync,
impl<T> Downcast for T where
T: Any,
T: Any,
pub fn into_any(self: Box<T, Global>) -> Box<dyn Any + 'static, Global>
pub fn into_any_rc(self: Rc<T>) -> Rc<dyn Any + 'static>
pub fn as_any(&self) -> &(dyn Any + 'static)
pub fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)
impl<T> Downcast<T> for T
impl<T> DowncastSync for T where
T: Any + Send + Sync,
T: Any + Send + Sync,
impl<T> DynEq for T where
T: Any + Eq,
T: Any + Eq,
pub fn as_any(&self) -> &(dyn Any + 'static)
pub fn dyn_eq(&self, other: &(dyn DynEq + 'static)) -> bool
impl<Q, K> Equivalent<K> for Q where
K: Borrow<Q> + ?Sized,
Q: Eq + ?Sized,
[src]
K: Borrow<Q> + ?Sized,
Q: Eq + ?Sized,
pub fn equivalent(&self, key: &K) -> bool
[src]
impl<T> From<T> for T
[src]
impl<T> FromWorld for T where
T: Default,
T: Default,
pub fn from_world(_world: &mut World) -> T
impl<T> Instrument for T
[src]
pub fn instrument(self, span: Span) -> Instrumented<Self>
[src]
pub fn in_current_span(self) -> Instrumented<Self>
[src]
impl<T, U> Into<U> for T where
U: From<T>,
[src]
U: From<T>,
impl<T> One for T where
T: One,
T: One,
pub fn one() -> T
impl<T> Pointable for T
pub const ALIGN: usize
type Init = T
The type for initializers.
pub unsafe fn init(init: <T as Pointable>::Init) -> usize
pub unsafe fn deref<'a>(ptr: usize) -> &'a T
pub unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T
pub unsafe fn drop(ptr: usize)
impl<T> Same<T> for T
type Output = T
Should always be Self
impl<T> Scalar for T where
T: Copy + PartialEq<T> + Debug + Any,
[src]
T: Copy + PartialEq<T> + Debug + Any,
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
SS: SubsetOf<SP>,
pub fn to_subset(&self) -> Option<SS>
pub fn is_in_subset(&self) -> bool
pub fn to_subset_unchecked(&self) -> SS
pub fn from_subset(element: &SS) -> SP
impl<T> ToOwned for T where
T: Clone,
[src]
T: Clone,
type Owned = T
The resulting type after obtaining ownership.
pub fn to_owned(&self) -> T
[src]
pub fn clone_into(&self, target: &mut T)
[src]
impl<T, U> TryFrom<U> for T where
U: Into<T>,
[src]
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>
[src]
impl<T, U> TryInto<U> 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.
pub fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
[src]
impl<T> TypeData for T where
T: 'static + Send + Sync + Clone,
T: 'static + Send + Sync + Clone,
pub fn clone_type_data(&self) -> Box<dyn TypeData + 'static, Global>
impl<T> Upcast<T> for T
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
V: MultiLane<T>,
pub fn vzip(self) -> V
impl<T> Zero for T where
T: Zero,
T: Zero,