Struct nalgebra::geometry::Translation

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#[repr(C)]
pub struct Translation<T, const D: usize> {
    pub vector: SVector<T, D>,
}

Expand description

A translation.

Fields

vector: SVector<T, D>

The translation coordinates, i.e., how much is added to a point’s coordinates when it is translated.

Implementations

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impl<T: Scalar, const D: usize> Translation<T, D>

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pub fn from_vector(vector: SVector<T, D>) -> Translation<T, D>

👎 Deprecated:

Use ::from instead.

Creates a new translation from the given vector.

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pub fn inverse(&self) -> Translation<T, D> where
T: ClosedNeg,

Inverts self.

Example

let t = Translation3::new(1.0, 2.0, 3.0);
assert_eq!(t * t.inverse(), Translation3::identity());
assert_eq!(t.inverse() * t, Translation3::identity());

// Work in all dimensions.
let t = Translation2::new(1.0, 2.0);
assert_eq!(t * t.inverse(), Translation2::identity());
assert_eq!(t.inverse() * t, Translation2::identity());

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pub fn to_homogeneous(
 &self
) -> OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> where
 T: Zero + One,
 Const<D>: DimNameAdd<U1>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

Converts this translation into its equivalent homogeneous transformation matrix.

Example

let t = Translation3::new(10.0, 20.0, 30.0);
let expected = Matrix4::new(1.0, 0.0, 0.0, 10.0,
                            0.0, 1.0, 0.0, 20.0,
                            0.0, 0.0, 1.0, 30.0,
                            0.0, 0.0, 0.0, 1.0);
assert_eq!(t.to_homogeneous(), expected);

let t = Translation2::new(10.0, 20.0);
let expected = Matrix3::new(1.0, 0.0, 10.0,
                            0.0, 1.0, 20.0,
                            0.0, 0.0, 1.0);
assert_eq!(t.to_homogeneous(), expected);

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pub fn inverse_mut(&mut self) where
T: ClosedNeg,

Inverts self in-place.

Example

let t = Translation3::new(1.0, 2.0, 3.0);
let mut inv_t = Translation3::new(1.0, 2.0, 3.0);
inv_t.inverse_mut();
assert_eq!(t * inv_t, Translation3::identity());
assert_eq!(inv_t * t, Translation3::identity());

// Work in all dimensions.
let t = Translation2::new(1.0, 2.0);
let mut inv_t = Translation2::new(1.0, 2.0);
inv_t.inverse_mut();
assert_eq!(t * inv_t, Translation2::identity());
assert_eq!(inv_t * t, Translation2::identity());

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impl<T: Scalar + ClosedAdd, const D: usize> Translation<T, D>

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pub fn transform_point(&self, pt: &Point<T, D>) -> Point<T, D>

Translate the given point.

This is the same as the multiplication self * pt.

Example

let t = Translation3::new(1.0, 2.0, 3.0);
let transformed_point = t.transform_point(&Point3::new(4.0, 5.0, 6.0));
assert_eq!(transformed_point, Point3::new(5.0, 7.0, 9.0));

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impl<T: Scalar + ClosedSub, const D: usize> Translation<T, D>

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pub fn inverse_transform_point(&self, pt: &Point<T, D>) -> Point<T, D>

Translate the given point by the inverse of this translation.

Example

let t = Translation3::new(1.0, 2.0, 3.0);
let transformed_point = t.inverse_transform_point(&Point3::new(4.0, 5.0, 6.0));
assert_eq!(transformed_point, Point3::new(3.0, 3.0, 3.0));

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impl<T: Scalar, const D: usize> Translation<T, D>

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pub fn identity() -> Translation<T, D> where
T: Zero,

Creates a new identity translation.

Example

let t = Translation2::identity();
let p = Point2::new(1.0, 2.0);
assert_eq!(t * p, p);

// Works in all dimensions.
let t = Translation3::identity();
let p = Point3::new(1.0, 2.0, 3.0);
assert_eq!(t * p, p);

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pub fn cast<To: Scalar>(self) -> Translation<To, D> where
Translation<To, D>: SupersetOf<Self>,

Cast the components of self to another type.

Example

let tra = Translation2::new(1.0f64, 2.0);
let tra2 = tra.cast::<f32>();
assert_eq!(tra2, Translation2::new(1.0f32, 2.0));

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impl<T> Translation<T, 1>

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pub const fn new(x: T) -> Self

Initializes this translation from its components.

Example

let t = Translation1::new(1.0);
assert!(t.vector.x == 1.0);

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impl<T> Translation<T, 2>

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pub const fn new(x: T, y: T) -> Self

Initializes this translation from its components.

Example

let t = Translation2::new(1.0, 2.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0);

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impl<T> Translation<T, 3>

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pub const fn new(x: T, y: T, z: T) -> Self

Initializes this translation from its components.

Example

let t = Translation3::new(1.0, 2.0, 3.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0);

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impl<T> Translation<T, 4>

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pub const fn new(x: T, y: T, z: T, w: T) -> Self

Initializes this translation from its components.

Example

let t = Translation4::new(1.0, 2.0, 3.0, 4.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0);

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impl<T> Translation<T, 5>

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pub const fn new(x: T, y: T, z: T, w: T, a: T) -> Self

Initializes this translation from its components.

Example

let t = Translation5::new(1.0, 2.0, 3.0, 4.0, 5.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0 && t.vector.a == 5.0);

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impl<T> Translation<T, 6>

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pub const fn new(x: T, y: T, z: T, w: T, a: T, b: T) -> Self

Initializes this translation from its components.

Example

let t = Translation6::new(1.0, 2.0, 3.0, 4.0, 5.0, 6.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0 && t.vector.z == 3.0 && t.vector.w == 4.0 && t.vector.a == 5.0 && t.vector.b == 6.0);

Trait Implementations

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impl<T: Scalar + AbsDiffEq, const D: usize> AbsDiffEq<Translation<T, D>> for Translation<T, D> where
T::Epsilon: Copy,

type Epsilon = T::Epsilon

Used for specifying relative comparisons.

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fn default_epsilon() -> Self::Epsilon

The default tolerance to use when testing values that are close together. Read more

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fn abs_diff_eq(&self, other: &Self, epsilon: Self::Epsilon) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers. Read more

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fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.

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impl<T: Scalar, const D: usize> Clone for Translation<T, D> where
Owned<T, Const<D>>: Clone,

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fn clone(&self) -> Self

Returns a copy of the value. Read more

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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more

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impl<T: Debug, const D: usize> Debug for Translation<T, D>

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more

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impl<T: Scalar> Deref for Translation<T, 1>

type Target = X<T>

The resulting type after dereferencing.

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fn deref(&self) -> &Self::Target

Dereferences the value.

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impl<T: Scalar> Deref for Translation<T, 2>

type Target = XY<T>

The resulting type after dereferencing.

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fn deref(&self) -> &Self::Target

Dereferences the value.

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impl<T: Scalar> Deref for Translation<T, 3>

type Target = XYZ<T>

The resulting type after dereferencing.

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fn deref(&self) -> &Self::Target

Dereferences the value.

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impl<T: Scalar> Deref for Translation<T, 4>

type Target = XYZW<T>

The resulting type after dereferencing.

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fn deref(&self) -> &Self::Target

Dereferences the value.

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impl<T: Scalar> Deref for Translation<T, 5>

type Target = XYZWA<T>

The resulting type after dereferencing.

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fn deref(&self) -> &Self::Target

Dereferences the value.

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impl<T: Scalar> Deref for Translation<T, 6>

type Target = XYZWAB<T>

The resulting type after dereferencing.

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fn deref(&self) -> &Self::Target

Dereferences the value.

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impl<T: Scalar> DerefMut for Translation<T, 1>

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fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

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impl<T: Scalar> DerefMut for Translation<T, 2>

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fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

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impl<T: Scalar> DerefMut for Translation<T, 3>

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fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

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impl<T: Scalar> DerefMut for Translation<T, 4>

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fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

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impl<T: Scalar> DerefMut for Translation<T, 5>

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fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

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impl<T: Scalar> DerefMut for Translation<T, 6>

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fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

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impl<T: Scalar + Display, const D: usize> Display for Translation<T, D>

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more

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impl<T: Scalar, const D: usize> Distribution<Translation<T, D>> for Standard where
Standard: Distribution<T>,

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fn sample<'a, G: Rng + ?Sized>(&self, rng: &'a mut G) -> Translation<T, D>

Generate an arbitrary random variate for testing purposes.

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fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T> where
R: Rng,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more

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fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S> where
F: Fn(T) -> S,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more

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impl<'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for Translation<T, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the / operator.

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fn div(self, rhs: &'b Transform<T, C, D>) -> Self::Output

Performs the / operation. Read more

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impl<'a, 'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for &'a Translation<T, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the / operator.

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fn div(self, rhs: &'b Transform<T, C, D>) -> Self::Output

Performs the / operation. Read more

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impl<'a, 'b, T: SimdRealField> Div<&'b Translation<T, 3_usize>> for &'a UnitDualQuaternion<T> where
T::Element: SimdRealField,

type Output = UnitDualQuaternion<T>

The resulting type after applying the / operator.

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fn div(self, rhs: &'b Translation3<T>) -> Self::Output

Performs the / operation. Read more

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impl<'b, T: SimdRealField> Div<&'b Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

type Output = UnitDualQuaternion<T>

The resulting type after applying the / operator.

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fn div(self, rhs: &'b Translation3<T>) -> Self::Output

Performs the / operation. Read more

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impl<'a, 'b, T, const D: usize> Div<&'b Translation<T, D>> for &'a Translation<T, D> where
T: Scalar + ClosedSub,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Translation<T, D>

The resulting type after applying the / operator.

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fn div(self, right: &'b Translation<T, D>) -> Self::Output

Performs the / operation. Read more

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impl<'b, T, const D: usize> Div<&'b Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedSub,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Translation<T, D>

The resulting type after applying the / operator.

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fn div(self, right: &'b Translation<T, D>) -> Self::Output

Performs the / operation. Read more

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impl<'b, T, C, const D: usize> Div<&'b Translation<T, D>> for Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the / operator.

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fn div(self, rhs: &'b Translation<T, D>) -> Self::Output

Performs the / operation. Read more

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impl<'a, 'b, T, C, const D: usize> Div<&'b Translation<T, D>> for &'a Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the / operator.

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fn div(self, rhs: &'b Translation<T, D>) -> Self::Output

Performs the / operation. Read more

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impl<T, C, const D: usize> Div<Transform<T, C, D>> for Translation<T, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the / operator.

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fn div(self, rhs: Transform<T, C, D>) -> Self::Output

Performs the / operation. Read more

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impl<'a, T, C, const D: usize> Div<Transform<T, C, D>> for &'a Translation<T, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the / operator.

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fn div(self, rhs: Transform<T, C, D>) -> Self::Output

Performs the / operation. Read more

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impl<'a, T: SimdRealField> Div<Translation<T, 3_usize>> for &'a UnitDualQuaternion<T> where
T::Element: SimdRealField,

type Output = UnitDualQuaternion<T>

The resulting type after applying the / operator.

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fn div(self, rhs: Translation3<T>) -> Self::Output

Performs the / operation. Read more

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impl<T: SimdRealField> Div<Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

type Output = UnitDualQuaternion<T>

The resulting type after applying the / operator.

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fn div(self, rhs: Translation3<T>) -> Self::Output

Performs the / operation. Read more

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impl<'a, T, const D: usize> Div<Translation<T, D>> for &'a Translation<T, D> where
T: Scalar + ClosedSub,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Translation<T, D>

The resulting type after applying the / operator.

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fn div(self, right: Translation<T, D>) -> Self::Output

Performs the / operation. Read more

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impl<T, const D: usize> Div<Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedSub,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Translation<T, D>

The resulting type after applying the / operator.

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fn div(self, right: Translation<T, D>) -> Self::Output

Performs the / operation. Read more

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impl<T, C, const D: usize> Div<Translation<T, D>> for Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the / operator.

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fn div(self, rhs: Translation<T, D>) -> Self::Output

Performs the / operation. Read more

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impl<'a, T, C, const D: usize> Div<Translation<T, D>> for &'a Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the / operator.

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fn div(self, rhs: Translation<T, D>) -> Self::Output

Performs the / operation. Read more

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impl<'b, T: SimdRealField> DivAssign<&'b Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

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fn div_assign(&mut self, rhs: &'b Translation3<T>)

Performs the /= operation. Read more

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impl<'b, T, const D: usize> DivAssign<&'b Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedSub,

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fn div_assign(&mut self, right: &'b Translation<T, D>)

Performs the /= operation. Read more

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impl<'b, T, C, const D: usize> DivAssign<&'b Translation<T, D>> for Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategory,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

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fn div_assign(&mut self, rhs: &'b Translation<T, D>)

Performs the /= operation. Read more

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impl<T: SimdRealField> DivAssign<Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

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fn div_assign(&mut self, rhs: Translation3<T>)

Performs the /= operation. Read more

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impl<T, const D: usize> DivAssign<Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedSub,

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fn div_assign(&mut self, right: Translation<T, D>)

Performs the /= operation. Read more

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impl<T, C, const D: usize> DivAssign<Translation<T, D>> for Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategory,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

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fn div_assign(&mut self, rhs: Translation<T, D>)

Performs the /= operation. Read more

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impl<T: Scalar, const D: usize> From<[T; D]> for Translation<T, D>

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fn from(coords: [T; D]) -> Self

Performs the conversion.

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impl<T: Scalar + PrimitiveSimdValue, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 16]> for Translation<T, D> where
T: From<[<T as SimdValue>::Element ; 16]>,
T::Element: Scalar,

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fn from(arr: [Translation<T::Element, D>; 16]) -> Self

Performs the conversion.

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impl<T: Scalar + PrimitiveSimdValue, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 2]> for Translation<T, D> where
T: From<[<T as SimdValue>::Element ; 2]>,
T::Element: Scalar,

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fn from(arr: [Translation<T::Element, D>; 2]) -> Self

Performs the conversion.

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impl<T: Scalar + PrimitiveSimdValue, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 4]> for Translation<T, D> where
T: From<[<T as SimdValue>::Element ; 4]>,
T::Element: Scalar,

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fn from(arr: [Translation<T::Element, D>; 4]) -> Self

Performs the conversion.

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impl<T: Scalar + PrimitiveSimdValue, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 8]> for Translation<T, D> where
T: From<[<T as SimdValue>::Element ; 8]>,
T::Element: Scalar,

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fn from(arr: [Translation<T::Element, D>; 8]) -> Self

Performs the conversion.

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impl<T: Scalar, const D: usize> From<Matrix<T, Const<D>, Const<1_usize>, <DefaultAllocator as Allocator<T, Const<D>, Const<1_usize>>>::Buffer>> for Translation<T, D>

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fn from(vector: OVector<T, Const<D>>) -> Self

Performs the conversion.

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impl<T: Scalar, const D: usize> From<Point<T, D>> for Translation<T, D>

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fn from(pt: Point<T, D>) -> Self

Performs the conversion.

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impl<T: Scalar + Zero + One, const D: usize> From<Translation<T, D>> for OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> where
Const<D>: DimNameAdd<U1>,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> + Allocator<T, Const<D>>,

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fn from(t: Translation<T, D>) -> Self

Performs the conversion.

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impl<T: SimdRealField, R: AbstractRotation<T, D>, const D: usize> From<Translation<T, D>> for Isometry<T, R, D>

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fn from(tra: Translation<T, D>) -> Self

Performs the conversion.

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impl<T: Scalar + Hash, const D: usize> Hash for Translation<T, D> where
Owned<T, Const<D>>: Hash,

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fn hash<H: Hasher>(&self, state: &mut H)

Feeds this value into the given Hasher. Read more

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fn hash_slice<H>(data: &[Self], state: &mut H) where
H: Hasher,

Feeds a slice of this type into the given Hasher. Read more

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impl<T: Scalar, const D: usize> Into<[T; D]> for Translation<T, D>

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fn into(self) -> [T; D]

Performs the conversion.

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impl<'b, T: SimdRealField, R, const D: usize> Mul<&'b Isometry<T, R, D>> for Translation<T, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Isometry<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Isometry<T, R, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField, R, const D: usize> Mul<&'b Isometry<T, R, D>> for &'a Translation<T, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Isometry<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Isometry<T, R, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T, const D: usize> Mul<&'b Point<T, D>> for &'a Translation<T, D> where
T: Scalar + ClosedAdd,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Point<T, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Point<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T, const D: usize> Mul<&'b Point<T, D>> for Translation<T, D> where
T: Scalar + ClosedAdd,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Point<T, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Point<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField, const D: usize> Mul<&'b Rotation<T, D>> for Translation<T, D> where
T::Element: SimdRealField,

type Output = Isometry<T, Rotation<T, D>, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Rotation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField, const D: usize> Mul<&'b Rotation<T, D>> for &'a Translation<T, D> where
T::Element: SimdRealField,

type Output = Isometry<T, Rotation<T, D>, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Rotation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField, R, const D: usize> Mul<&'b Similarity<T, R, D>> for Translation<T, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Similarity<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Similarity<T, R, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField, R, const D: usize> Mul<&'b Similarity<T, R, D>> for &'a Translation<T, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Similarity<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Similarity<T, R, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T, C, const D: usize> Mul<&'b Transform<T, C, D>> for Translation<T, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Transform<T, C, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T, C, const D: usize> Mul<&'b Transform<T, C, D>> for &'a Translation<T, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Transform<T, C, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField> Mul<&'b Translation<T, 2_usize>> for UnitComplex<T> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitComplex<T>, 2>

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Translation<T, 2>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField> Mul<&'b Translation<T, 2_usize>> for &'a UnitComplex<T> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitComplex<T>, 2>

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Translation<T, 2>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField> Mul<&'b Translation<T, 3_usize>> for &'a UnitDualQuaternion<T> where
T::Element: SimdRealField,

type Output = UnitDualQuaternion<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Translation3<T>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField> Mul<&'b Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

type Output = UnitDualQuaternion<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Translation3<T>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField> Mul<&'b Translation<T, 3_usize>> for UnitQuaternion<T> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitQuaternion<T>, 3>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Translation<T, 3>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField> Mul<&'b Translation<T, 3_usize>> for &'a UnitQuaternion<T> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitQuaternion<T>, 3>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Translation<T, 3>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T, const D: usize> Mul<&'b Translation<T, D>> for &'a Translation<T, D> where
T: Scalar + ClosedAdd,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Translation<T, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T, const D: usize> Mul<&'b Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedAdd,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Translation<T, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField, R, const D: usize> Mul<&'b Translation<T, D>> for Isometry<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Isometry<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField, R, const D: usize> Mul<&'b Translation<T, D>> for &'a Isometry<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Isometry<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField, const D: usize> Mul<&'b Translation<T, D>> for Rotation<T, D> where
T::Element: SimdRealField,

type Output = Isometry<T, Rotation<T, D>, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField, const D: usize> Mul<&'b Translation<T, D>> for &'a Rotation<T, D> where
T::Element: SimdRealField,

type Output = Isometry<T, Rotation<T, D>, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField, R, const D: usize> Mul<&'b Translation<T, D>> for Similarity<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Similarity<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField, R, const D: usize> Mul<&'b Translation<T, D>> for &'a Similarity<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Similarity<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: &'b Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T, C, const D: usize> Mul<&'b Translation<T, D>> for Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T, C, const D: usize> Mul<&'b Translation<T, D>> for &'a Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the * operator.

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fn mul(self, rhs: &'b Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField> Mul<&'b Unit<Complex<T>>> for Translation<T, 2> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitComplex<T>, 2>

The resulting type after applying the * operator.

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fn mul(self, right: &'b UnitComplex<T>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField> Mul<&'b Unit<Complex<T>>> for &'a Translation<T, 2> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitComplex<T>, 2>

The resulting type after applying the * operator.

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fn mul(self, right: &'b UnitComplex<T>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField> Mul<&'b Unit<Quaternion<T>>> for Translation<T, 3> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitQuaternion<T>, 3>

The resulting type after applying the * operator.

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fn mul(self, right: &'b UnitQuaternion<T>) -> Self::Output

Performs the * operation. Read more

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impl<'a, 'b, T: SimdRealField> Mul<&'b Unit<Quaternion<T>>> for &'a Translation<T, 3> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitQuaternion<T>, 3>

The resulting type after applying the * operator.

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fn mul(self, right: &'b UnitQuaternion<T>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField, R, const D: usize> Mul<Isometry<T, R, D>> for Translation<T, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Isometry<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: Isometry<T, R, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField, R, const D: usize> Mul<Isometry<T, R, D>> for &'a Translation<T, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Isometry<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: Isometry<T, R, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T, const D: usize> Mul<Point<T, D>> for &'a Translation<T, D> where
T: Scalar + ClosedAdd,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Point<T, D>

The resulting type after applying the * operator.

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fn mul(self, right: Point<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<T, const D: usize> Mul<Point<T, D>> for Translation<T, D> where
T: Scalar + ClosedAdd,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Point<T, D>

The resulting type after applying the * operator.

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fn mul(self, right: Point<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField, const D: usize> Mul<Rotation<T, D>> for Translation<T, D> where
T::Element: SimdRealField,

type Output = Isometry<T, Rotation<T, D>, D>

The resulting type after applying the * operator.

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fn mul(self, right: Rotation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField, const D: usize> Mul<Rotation<T, D>> for &'a Translation<T, D> where
T::Element: SimdRealField,

type Output = Isometry<T, Rotation<T, D>, D>

The resulting type after applying the * operator.

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fn mul(self, right: Rotation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField, R, const D: usize> Mul<Similarity<T, R, D>> for Translation<T, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Similarity<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: Similarity<T, R, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField, R, const D: usize> Mul<Similarity<T, R, D>> for &'a Translation<T, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Similarity<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: Similarity<T, R, D>) -> Self::Output

Performs the * operation. Read more

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impl<T, C, const D: usize> Mul<Transform<T, C, D>> for Translation<T, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the * operator.

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fn mul(self, rhs: Transform<T, C, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T, C, const D: usize> Mul<Transform<T, C, D>> for &'a Translation<T, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the * operator.

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fn mul(self, rhs: Transform<T, C, D>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField> Mul<Translation<T, 2_usize>> for UnitComplex<T> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitComplex<T>, 2>

The resulting type after applying the * operator.

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fn mul(self, rhs: Translation<T, 2>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField> Mul<Translation<T, 2_usize>> for &'a UnitComplex<T> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitComplex<T>, 2>

The resulting type after applying the * operator.

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fn mul(self, rhs: Translation<T, 2>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField> Mul<Translation<T, 3_usize>> for &'a UnitDualQuaternion<T> where
T::Element: SimdRealField,

type Output = UnitDualQuaternion<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: Translation3<T>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField> Mul<Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

type Output = UnitDualQuaternion<T>

The resulting type after applying the * operator.

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fn mul(self, rhs: Translation3<T>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField> Mul<Translation<T, 3_usize>> for UnitQuaternion<T> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitQuaternion<T>, 3>

The resulting type after applying the * operator.

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fn mul(self, right: Translation<T, 3>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField> Mul<Translation<T, 3_usize>> for &'a UnitQuaternion<T> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitQuaternion<T>, 3>

The resulting type after applying the * operator.

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fn mul(self, right: Translation<T, 3>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T, const D: usize> Mul<Translation<T, D>> for &'a Translation<T, D> where
T: Scalar + ClosedAdd,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Translation<T, D>

The resulting type after applying the * operator.

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fn mul(self, right: Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<T, const D: usize> Mul<Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedAdd,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

type Output = Translation<T, D>

The resulting type after applying the * operator.

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fn mul(self, right: Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField, R, const D: usize> Mul<Translation<T, D>> for Isometry<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Isometry<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField, R, const D: usize> Mul<Translation<T, D>> for &'a Isometry<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Isometry<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField, const D: usize> Mul<Translation<T, D>> for Rotation<T, D> where
T::Element: SimdRealField,

type Output = Isometry<T, Rotation<T, D>, D>

The resulting type after applying the * operator.

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fn mul(self, right: Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField, const D: usize> Mul<Translation<T, D>> for &'a Rotation<T, D> where
T::Element: SimdRealField,

type Output = Isometry<T, Rotation<T, D>, D>

The resulting type after applying the * operator.

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fn mul(self, right: Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField, R, const D: usize> Mul<Translation<T, D>> for Similarity<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Similarity<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField, R, const D: usize> Mul<Translation<T, D>> for &'a Similarity<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

type Output = Similarity<T, R, D>

The resulting type after applying the * operator.

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fn mul(self, right: Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<T, C, const D: usize> Mul<Translation<T, D>> for Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the * operator.

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fn mul(self, rhs: Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T, C, const D: usize> Mul<Translation<T, D>> for &'a Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategoryMul<TAffine>,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

The resulting type after applying the * operator.

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fn mul(self, rhs: Translation<T, D>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField> Mul<Unit<Complex<T>>> for Translation<T, 2> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitComplex<T>, 2>

The resulting type after applying the * operator.

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fn mul(self, right: UnitComplex<T>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField> Mul<Unit<Complex<T>>> for &'a Translation<T, 2> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitComplex<T>, 2>

The resulting type after applying the * operator.

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fn mul(self, right: UnitComplex<T>) -> Self::Output

Performs the * operation. Read more

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impl<T: SimdRealField> Mul<Unit<Quaternion<T>>> for Translation<T, 3> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitQuaternion<T>, 3>

The resulting type after applying the * operator.

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fn mul(self, right: UnitQuaternion<T>) -> Self::Output

Performs the * operation. Read more

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impl<'a, T: SimdRealField> Mul<Unit<Quaternion<T>>> for &'a Translation<T, 3> where
T::Element: SimdRealField,

type Output = Isometry<T, UnitQuaternion<T>, 3>

The resulting type after applying the * operator.

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fn mul(self, right: UnitQuaternion<T>) -> Self::Output

Performs the * operation. Read more

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impl<'b, T: SimdRealField> MulAssign<&'b Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

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fn mul_assign(&mut self, rhs: &'b Translation3<T>)

Performs the *= operation. Read more

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impl<'b, T, const D: usize> MulAssign<&'b Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedAdd,

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fn mul_assign(&mut self, right: &'b Translation<T, D>)

Performs the *= operation. Read more

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impl<'b, T: SimdRealField, R, const D: usize> MulAssign<&'b Translation<T, D>> for Isometry<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

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fn mul_assign(&mut self, rhs: &'b Translation<T, D>)

Performs the *= operation. Read more

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impl<'b, T: SimdRealField, R, const D: usize> MulAssign<&'b Translation<T, D>> for Similarity<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

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fn mul_assign(&mut self, rhs: &'b Translation<T, D>)

Performs the *= operation. Read more

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impl<'b, T, C, const D: usize> MulAssign<&'b Translation<T, D>> for Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategory,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

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fn mul_assign(&mut self, rhs: &'b Translation<T, D>)

Performs the *= operation. Read more

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impl<T: SimdRealField> MulAssign<Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

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fn mul_assign(&mut self, rhs: Translation3<T>)

Performs the *= operation. Read more

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impl<T, const D: usize> MulAssign<Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedAdd,

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fn mul_assign(&mut self, right: Translation<T, D>)

Performs the *= operation. Read more

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impl<T: SimdRealField, R, const D: usize> MulAssign<Translation<T, D>> for Isometry<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

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fn mul_assign(&mut self, rhs: Translation<T, D>)

Performs the *= operation. Read more

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impl<T: SimdRealField, R, const D: usize> MulAssign<Translation<T, D>> for Similarity<T, R, D> where
T::Element: SimdRealField,
R: AbstractRotation<T, D>,

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fn mul_assign(&mut self, rhs: Translation<T, D>)

Performs the *= operation. Read more

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impl<T, C, const D: usize> MulAssign<Translation<T, D>> for Transform<T, C, D> where
 T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
 Const<D>: DimNameAdd<U1>,
 C: TCategory,
 DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

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fn mul_assign(&mut self, rhs: Translation<T, D>)

Performs the *= operation. Read more

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impl<T: Scalar + Zero + ClosedAdd, const D: usize> One for Translation<T, D>

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fn one() -> Self

Returns the multiplicative identity element of Self, 1. Read more

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fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

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fn is_one(&self) -> bool where
Self: PartialEq<Self>,

Returns true if self is equal to the multiplicative identity. Read more

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impl<T: Scalar + PartialEq, const D: usize> PartialEq<Translation<T, D>> for Translation<T, D>

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fn eq(&self, right: &Translation<T, D>) -> bool

This method tests for self and other values to be equal, and is used by ==. Read more

1.0.0 · source

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

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impl<T: Scalar + RelativeEq, const D: usize> RelativeEq<Translation<T, D>> for Translation<T, D> where
T::Epsilon: Copy,

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fn default_max_relative() -> Self::Epsilon

The default relative tolerance for testing values that are far-apart. Read more

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fn relative_eq(
    &self,
    other: &Self,
    epsilon: Self::Epsilon,
    max_relative: Self::Epsilon
) -> bool

A test for equality that uses a relative comparison if the values are far apart.

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fn relative_ne(
    &self,
    other: &Rhs,
    epsilon: Self::Epsilon,
    max_relative: Self::Epsilon
) -> bool

The inverse of RelativeEq::relative_eq.

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impl<T: Scalar + SimdValue, const D: usize> SimdValue for Translation<T, D> where
T::Element: Scalar,

type Element = Translation<T::Element, D>

The type of the elements of each lane of this SIMD value.

type SimdBool = T::SimdBool

Type of the result of comparing two SIMD values like self.

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fn lanes() -> usize

The number of lanes of this SIMD value.

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fn splat(val: Self::Element) -> Self

Initializes an SIMD value with each lanes set to val.

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fn extract(&self, i: usize) -> Self::Element

Extracts the i-th lane of self. Read more

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unsafe fn extract_unchecked(&self, i: usize) -> Self::Element

Extracts the i-th lane of self without bound-checking.

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fn replace(&mut self, i: usize, val: Self::Element)

Replaces the i-th lane of self by val. Read more

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unsafe fn replace_unchecked(&mut self, i: usize, val: Self::Element)

Replaces the i-th lane of self by val without bound-checking.

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fn select(self, cond: Self::SimdBool, other: Self) -> Self

Merges self and other depending on the lanes of cond. Read more

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fn map_lanes(self, f: impl Fn(Self::Element) -> Self::Element) -> Self where
Self: Clone,

Applies a function to each lane of self. Read more

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fn zip_map_lanes(
    self,
    b: Self,
    f: impl Fn(Self::Element, Self::Element) -> Self::Element
) -> Self where
    Self: Clone,

Applies a function to each lane of self paired with the corresponding lane of b. Read more

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impl<T1, T2, R, const D: usize> SubsetOf<Isometry<T2, R, D>> for Translation<T1, D> where
 T1: RealField,
 T2: RealField + SupersetOf<T1>,
 R: AbstractRotation<T2, D>,

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fn to_superset(&self) -> Isometry<T2, R, D>

The inclusion map: converts self to the equivalent element of its superset.

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fn is_in_subset(iso: &Isometry<T2, R, D>) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

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fn from_superset_unchecked(iso: &Isometry<T2, R, D>) -> Self

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

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fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

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impl<T1, T2, const D: usize> SubsetOf<Matrix<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer>> for Translation<T1, D> where
 T1: RealField,
 T2: RealField + SupersetOf<T1>,
 Const<D>: DimNameAdd<U1>,
 DefaultAllocator: Allocator<T1, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> + Allocator<T2, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

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fn to_superset(
&self
) -> OMatrix<T2, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>

The inclusion map: converts self to the equivalent element of its superset.

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fn is_in_subset(
m: &OMatrix<T2, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>
) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

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fn from_superset_unchecked(
m: &OMatrix<T2, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>
) -> Self

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

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fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

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impl<T1, T2, R, const D: usize> SubsetOf<Similarity<T2, R, D>> for Translation<T1, D> where
 T1: RealField,
 T2: RealField + SupersetOf<T1>,
 R: AbstractRotation<T2, D>,

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fn to_superset(&self) -> Similarity<T2, R, D>

The inclusion map: converts self to the equivalent element of its superset.

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fn is_in_subset(sim: &Similarity<T2, R, D>) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

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fn from_superset_unchecked(sim: &Similarity<T2, R, D>) -> Self

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

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fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

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impl<T1, T2, C, const D: usize> SubsetOf<Transform<T2, C, D>> for Translation<T1, D> where
 T1: RealField,
 T2: RealField + SupersetOf<T1>,
 C: SuperTCategoryOf<TAffine>,
 Const<D>: DimNameAdd<U1>,
 DefaultAllocator: Allocator<T1, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> + Allocator<T2, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

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fn to_superset(&self) -> Transform<T2, C, D>

The inclusion map: converts self to the equivalent element of its superset.

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fn is_in_subset(t: &Transform<T2, C, D>) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

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fn from_superset_unchecked(t: &Transform<T2, C, D>) -> Self

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

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fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

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impl<T1, T2, const D: usize> SubsetOf<Translation<T2, D>> for Translation<T1, D> where
T1: Scalar,
T2: Scalar + SupersetOf<T1>,

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fn to_superset(&self) -> Translation<T2, D>

The inclusion map: converts self to the equivalent element of its superset.

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fn is_in_subset(rot: &Translation<T2, D>) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

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fn from_superset_unchecked(rot: &Translation<T2, D>) -> Self

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

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fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

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impl<T: Scalar + UlpsEq, const D: usize> UlpsEq<Translation<T, D>> for Translation<T, D> where
T::Epsilon: Copy,

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fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart. Read more

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fn ulps_eq(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.

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fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of UlpsEq::ulps_eq.

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impl<T: Scalar + Copy, const D: usize> Copy for Translation<T, D> where
Owned<T, Const<D>>: Copy,

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impl<T: Scalar + Eq, const D: usize> Eq for Translation<T, D>

Auto Trait Implementations

impl<T, const D: usize> RefUnwindSafe for Translation<T, D> where
T: RefUnwindSafe,

impl<T, const D: usize> Send for Translation<T, D> where
T: Send,

impl<T, const D: usize> Sync for Translation<T, D> where
T: Sync,

impl<T, const D: usize> Unpin for Translation<T, D> where
T: Unpin,

impl<T, const D: usize> UnwindSafe for Translation<T, D> where
T: UnwindSafe,

Blanket Implementations

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impl<T> Any for T where
T: 'static + ?Sized,

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pub fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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impl<T> Borrow<T> for T where
T: ?Sized,

const: unstable · source

pub fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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impl<T> BorrowMut<T> for T where
T: ?Sized,

const: unstable · source

pub fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

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impl<T> From<T> for T

const: unstable · source

pub fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into for T where
U: From<T>,

const: unstable · source

pub fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> Same<T> for T

type Output = T

Should always be Self

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impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,

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pub fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

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pub fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

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pub fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

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pub fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

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impl<T> ToOwned for T where
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

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pub fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

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pub fn clone_into(&self, target: &mut T)

🔬 This is a nightly-only experimental API. (toowned_clone_into)

Uses borrowed data to replace owned data, usually by cloning. Read more

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impl<T> ToString for T where
T: Display + ?Sized,

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pub default fn to_string(&self) -> String

Converts the given value to a String. Read more

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impl<T, U> TryFrom for T where
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

pub fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for T where
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

pub fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

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impl<V, T> VZip<V> for T where
V: MultiLane<T>,

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pub fn vzip(self) -> V

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impl<T, Right> ClosedDiv<Right> for T where
T: Div<Right, Output = T> + DivAssign<Right>,

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Struct nalgebra::geometry::Translation

Fields

Implementations

impl<T: Scalar, const D: usize> Translation<T, D>

pub fn from_vector(vector: SVector<T, D>) -> Translation<T, D>

pub fn inverse(&self) -> Translation<T, D> where T: ClosedNeg,

pub fn to_homogeneous( &self) -> OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> where T: Zero + One, Const<D>: DimNameAdd<U1>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

pub fn inverse_mut(&mut self) where T: ClosedNeg,

impl<T: Scalar + ClosedAdd, const D: usize> Translation<T, D>

pub fn transform_point(&self, pt: &Point<T, D>) -> Point<T, D>

impl<T: Scalar + ClosedSub, const D: usize> Translation<T, D>

pub fn inverse_transform_point(&self, pt: &Point<T, D>) -> Point<T, D>

impl<T: Scalar, const D: usize> Translation<T, D>

pub fn identity() -> Translation<T, D> where T: Zero,

pub fn cast<To: Scalar>(self) -> Translation<To, D> where Translation<To, D>: SupersetOf<Self>,

impl<T> Translation<T, 1>

pub const fn new(x: T) -> Self

impl<T> Translation<T, 2>

pub const fn new(x: T, y: T) -> Self

impl<T> Translation<T, 3>

pub const fn new(x: T, y: T, z: T) -> Self

impl<T> Translation<T, 4>

pub const fn new(x: T, y: T, z: T, w: T) -> Self

impl<T> Translation<T, 5>

pub const fn new(x: T, y: T, z: T, w: T, a: T) -> Self

impl<T> Translation<T, 6>

pub const fn new(x: T, y: T, z: T, w: T, a: T, b: T) -> Self

Trait Implementations

impl<T: Scalar + AbsDiffEq, const D: usize> AbsDiffEq<Translation<T, D>> for Translation<T, D> where T::Epsilon: Copy,

type Epsilon = T::Epsilon

fn default_epsilon() -> Self::Epsilon

fn abs_diff_eq(&self, other: &Self, epsilon: Self::Epsilon) -> bool

fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

impl<T: Scalar, const D: usize> Clone for Translation<T, D> where Owned<T, Const<D>>: Clone,

fn clone(&self) -> Self

fn clone_from(&mut self, source: &Self)

impl<T: Debug, const D: usize> Debug for Translation<T, D>

fn fmt(&self, f: &mut Formatter<'_>) -> Result

impl<T: Scalar> Deref for Translation<T, 1>

type Target = X<T>

fn deref(&self) -> &Self::Target

impl<T: Scalar> Deref for Translation<T, 2>

type Target = XY<T>

fn deref(&self) -> &Self::Target

impl<T: Scalar> Deref for Translation<T, 3>

type Target = XYZ<T>

fn deref(&self) -> &Self::Target

impl<T: Scalar> Deref for Translation<T, 4>

type Target = XYZW<T>

fn deref(&self) -> &Self::Target

impl<T: Scalar> Deref for Translation<T, 5>

type Target = XYZWA<T>

fn deref(&self) -> &Self::Target

impl<T: Scalar> Deref for Translation<T, 6>

type Target = XYZWAB<T>

fn deref(&self) -> &Self::Target

impl<T: Scalar> DerefMut for Translation<T, 1>

fn deref_mut(&mut self) -> &mut Self::Target

impl<T: Scalar> DerefMut for Translation<T, 2>

fn deref_mut(&mut self) -> &mut Self::Target

impl<T: Scalar> DerefMut for Translation<T, 3>

fn deref_mut(&mut self) -> &mut Self::Target

impl<T: Scalar> DerefMut for Translation<T, 4>

fn deref_mut(&mut self) -> &mut Self::Target

impl<T: Scalar> DerefMut for Translation<T, 5>

fn deref_mut(&mut self) -> &mut Self::Target

impl<T: Scalar> DerefMut for Translation<T, 6>

fn deref_mut(&mut self) -> &mut Self::Target

impl<T: Scalar + Display, const D: usize> Display for Translation<T, D>

fn fmt(&self, f: &mut Formatter<'_>) -> Result

impl<T: Scalar, const D: usize> Distribution<Translation<T, D>> for Standard where Standard: Distribution<T>,

fn sample<'a, G: Rng + ?Sized>(&self, rng: &'a mut G) -> Translation<T, D>

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T> where R: Rng,

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S> where F: Fn(T) -> S,

impl<'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for Translation<T, D> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, Const<D>: DimNameAdd<U1>, C: TCategoryMul<TAffine>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

fn div(self, rhs: &'b Transform<T, C, D>) -> Self::Output

impl<'a, 'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for &'a Translation<T, D> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, Const<D>: DimNameAdd<U1>, C: TCategoryMul<TAffine>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

type Output = Transform<T, C::Representative, D>

fn div(self, rhs: &'b Transform<T, C, D>) -> Self::Output

pub fn inverse(&self) -> Translation<T, D> where
T: ClosedNeg,

pub fn to_homogeneous(
&self
) -> OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> where
T: Zero + One,
Const<D>: DimNameAdd<U1>,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

pub fn inverse_mut(&mut self) where
T: ClosedNeg,

pub fn identity() -> Translation<T, D> where
T: Zero,

pub fn cast<To: Scalar>(self) -> Translation<To, D> where
Translation<To, D>: SupersetOf<Self>,

impl<T: Scalar + AbsDiffEq, const D: usize> AbsDiffEq<Translation<T, D>> for Translation<T, D> where
T::Epsilon: Copy,

impl<T: Scalar, const D: usize> Clone for Translation<T, D> where
Owned<T, Const<D>>: Clone,

impl<T: Scalar, const D: usize> Distribution<Translation<T, D>> for Standard where
Standard: Distribution<T>,

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T> where
R: Rng,

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S> where
F: Fn(T) -> S,

impl<'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for Translation<T, D> where
T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
Const<D>: DimNameAdd<U1>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

impl<'a, 'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for &'a Translation<T, D> where
T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
Const<D>: DimNameAdd<U1>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

impl<'a, 'b, T: SimdRealField> Div<&'b Translation<T, 3_usize>> for &'a UnitDualQuaternion<T> where
T::Element: SimdRealField,

impl<'b, T: SimdRealField> Div<&'b Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

impl<'a, 'b, T, const D: usize> Div<&'b Translation<T, D>> for &'a Translation<T, D> where
T: Scalar + ClosedSub,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

impl<'b, T, const D: usize> Div<&'b Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedSub,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

impl<'b, T, C, const D: usize> Div<&'b Translation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
Const<D>: DimNameAdd<U1>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

impl<'a, 'b, T, C, const D: usize> Div<&'b Translation<T, D>> for &'a Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
Const<D>: DimNameAdd<U1>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

impl<T, C, const D: usize> Div<Transform<T, C, D>> for Translation<T, D> where
T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
Const<D>: DimNameAdd<U1>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

impl<'a, T, C, const D: usize> Div<Transform<T, C, D>> for &'a Translation<T, D> where
T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
Const<D>: DimNameAdd<U1>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

impl<'a, T: SimdRealField> Div<Translation<T, 3_usize>> for &'a UnitDualQuaternion<T> where
T::Element: SimdRealField,

impl<T: SimdRealField> Div<Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

impl<'a, T, const D: usize> Div<Translation<T, D>> for &'a Translation<T, D> where
T: Scalar + ClosedSub,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

impl<T, const D: usize> Div<Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedSub,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<U1, U1, Representative = U1>,

impl<T, C, const D: usize> Div<Translation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
Const<D>: DimNameAdd<U1>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

impl<'a, T, C, const D: usize> Div<Translation<T, D>> for &'a Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
Const<D>: DimNameAdd<U1>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

impl<'b, T: SimdRealField> DivAssign<&'b Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,

impl<'b, T, const D: usize> DivAssign<&'b Translation<T, D>> for Translation<T, D> where
T: Scalar + ClosedSub,

impl<'b, T, C, const D: usize> DivAssign<&'b Translation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField,
Const<D>: DimNameAdd<U1>,
C: TCategory,
DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,

impl<T: SimdRealField> DivAssign<Translation<T, 3_usize>> for UnitDualQuaternion<T> where
T::Element: SimdRealField,