Struct na::Translation

#[repr(C)]
pub struct Translation<N, D> where
    D: DimName,
    N: Scalar,
    DefaultAllocator: Allocator<N, D, U1>,  {
    pub vector: Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>,
}

A translation.

Fields

vector: Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>

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

Implementations

impl<N, D> Translation<N, D> where
    D: DimName,
    N: Scalar,
    DefaultAllocator: Allocator<N, D, U1>, 

pub fn from_vector(
    vector: Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>
) -> Translation<N, D>

👎 Deprecated:

Use ::from instead.

Creates a new translation from the given vector.

#[must_use = "Did you mean to use inverse_mut()?"]

pub fn inverse(&self) -> Translation<N, D> where
    N: 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());

pub fn to_homogeneous(
    &self
) -> Matrix<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer> where
    D: DimNameAdd<U1>,
    N: Zero + One,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 

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);

pub fn inverse_mut(&mut self) where
    N: 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());

impl<N, D> Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

impl<N, D> Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedSub<N>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

impl<N, D> Translation<N, D> where
    D: DimName,
    N: Scalar + Zero,
    DefaultAllocator: Allocator<N, D, U1>, 

pub fn identity() -> Translation<N, D>

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);

impl<N> Translation<N, U1> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U1>, 

pub fn new(x: N) -> Translation<N, U1>

Initializes this translation from its components.

Example

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

impl<N> Translation<N, U2> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U1>, 

pub fn new(x: N, y: N) -> Translation<N, U2>

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);

impl<N> Translation<N, U3> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U1>, 

pub fn new(x: N, y: N, z: N) -> Translation<N, U3>

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);

impl<N> Translation<N, U4> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U1>, 

pub fn new(x: N, y: N, z: N, w: N) -> Translation<N, U4>

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);

impl<N> Translation<N, U5> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U1>, 

pub fn new(x: N, y: N, z: N, w: N, a: N) -> Translation<N, U5>

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);

impl<N> Translation<N, U6> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U1>, 

pub fn new(x: N, y: N, z: N, w: N, a: N, b: N) -> Translation<N, U6>

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

impl<N, D> AbsDiffEq<Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + AbsDiffEq<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    <N as AbsDiffEq<N>>::Epsilon: Copy, 

type Epsilon = <N as AbsDiffEq<N>>::Epsilon

Used for specifying relative comparisons.

pub fn default_epsilon(
) -> <Translation<N, D> as AbsDiffEq<Translation<N, D>>>::Epsilon

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

pub fn abs_diff_eq(
    &self,
    other: &Translation<N, D>,
    epsilon: <Translation<N, D> as AbsDiffEq<Translation<N, D>>>::Epsilon
) -> bool

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

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

The inverse of AbsDiffEq::abs_diff_eq.

impl<N, D> Clone for Translation<N, D> where
    D: DimName,
    N: Scalar,
    DefaultAllocator: Allocator<N, D, U1>,
    <DefaultAllocator as Allocator<N, D, U1>>::Buffer: Clone, 

pub fn clone(&self) -> Translation<N, D>

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<N, D> Debug for Translation<N, D> where
    D: Debug + DimName,
    N: Debug + Scalar,
    DefaultAllocator: Allocator<N, D, U1>, 

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

Formats the value using the given formatter.

impl<N> Deref for Translation<N, U2> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U1>, 

type Target = XY<N>

The resulting type after dereferencing.

pub fn deref(&self) -> &<Translation<N, U2> as Deref>::Target

Dereferences the value.

impl<N> Deref for Translation<N, U1> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U1>, 

type Target = X<N>

The resulting type after dereferencing.

pub fn deref(&self) -> &<Translation<N, U1> as Deref>::Target

Dereferences the value.

impl<N> Deref for Translation<N, U4> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U1>, 

type Target = XYZW<N>

The resulting type after dereferencing.

pub fn deref(&self) -> &<Translation<N, U4> as Deref>::Target

Dereferences the value.

impl<N> Deref for Translation<N, U5> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U1>, 

type Target = XYZWA<N>

The resulting type after dereferencing.

pub fn deref(&self) -> &<Translation<N, U5> as Deref>::Target

Dereferences the value.

impl<N> Deref for Translation<N, U3> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U1>, 

type Target = XYZ<N>

The resulting type after dereferencing.

pub fn deref(&self) -> &<Translation<N, U3> as Deref>::Target

Dereferences the value.

impl<N> Deref for Translation<N, U6> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U1>, 

type Target = XYZWAB<N>

The resulting type after dereferencing.

pub fn deref(&self) -> &<Translation<N, U6> as Deref>::Target

Dereferences the value.

impl<N> DerefMut for Translation<N, U3> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U1>, 

pub fn deref_mut(&mut self) -> &mut <Translation<N, U3> as Deref>::Target

Mutably dereferences the value.

impl<N> DerefMut for Translation<N, U6> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U1>, 

pub fn deref_mut(&mut self) -> &mut <Translation<N, U6> as Deref>::Target

Mutably dereferences the value.

impl<N> DerefMut for Translation<N, U5> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U1>, 

pub fn deref_mut(&mut self) -> &mut <Translation<N, U5> as Deref>::Target

Mutably dereferences the value.

impl<N> DerefMut for Translation<N, U4> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U1>, 

pub fn deref_mut(&mut self) -> &mut <Translation<N, U4> as Deref>::Target

Mutably dereferences the value.

impl<N> DerefMut for Translation<N, U1> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U1>, 

pub fn deref_mut(&mut self) -> &mut <Translation<N, U1> as Deref>::Target

Mutably dereferences the value.

impl<N> DerefMut for Translation<N, U2> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U1>, 

pub fn deref_mut(&mut self) -> &mut <Translation<N, U2> as Deref>::Target

Mutably dereferences the value.

impl<'a, N, D> Deserialize<'a> for Translation<N, D> where
    D: DimName,
    N: Scalar,
    DefaultAllocator: Allocator<N, D, U1>,
    <DefaultAllocator as Allocator<N, D, U1>>::Buffer: Deserialize<'a>, 

pub fn deserialize<Des>(
    deserializer: Des
) -> Result<Translation<N, D>, <Des as Deserializer<'a>>::Error> where
    Des: Deserializer<'a>, 

Deserialize this value from the given Serde deserializer.

impl<N, D> Display for Translation<N, D> where
    D: DimName,
    N: Scalar + Display,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<usize, D, U1>, 

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

Formats the value using the given formatter.

impl<'b, N, D, C> Div<&'b Transform<N, D, C>> for Translation<N, D> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the / operator.

pub fn div(
    self,
    rhs: &'b Transform<N, D, C>
) -> <Translation<N, D> as Div<&'b Transform<N, D, C>>>::Output

Performs the / operation.

impl<'a, 'b, N, D, C> Div<&'b Transform<N, D, C>> for &'a Translation<N, D> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the / operator.

pub fn div(
    self,
    rhs: &'b Transform<N, D, C>
) -> <&'a Translation<N, D> as Div<&'b Transform<N, D, C>>>::Output

Performs the / operation.

impl<'a, 'b, N, D> Div<&'b Translation<N, D>> for &'a Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedSub<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Translation<N, D>

The resulting type after applying the / operator.

pub fn div(
    self,
    right: &'b Translation<N, D>
) -> <&'a Translation<N, D> as Div<&'b Translation<N, D>>>::Output

Performs the / operation.

impl<'a, 'b, N, D, C> Div<&'b Translation<N, D>> for &'a Transform<N, D, C> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, U1>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the / operator.

pub fn div(
    self,
    rhs: &'b Translation<N, D>
) -> <&'a Transform<N, D, C> as Div<&'b Translation<N, D>>>::Output

Performs the / operation.

impl<'b, N, D, C> Div<&'b Translation<N, D>> for Transform<N, D, C> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, U1>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the / operator.

pub fn div(
    self,
    rhs: &'b Translation<N, D>
) -> <Transform<N, D, C> as Div<&'b Translation<N, D>>>::Output

Performs the / operation.

impl<'b, N, D> Div<&'b Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedSub<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Translation<N, D>

The resulting type after applying the / operator.

pub fn div(
    self,
    right: &'b Translation<N, D>
) -> <Translation<N, D> as Div<&'b Translation<N, D>>>::Output

Performs the / operation.

impl<N, D, C> Div<Transform<N, D, C>> for Translation<N, D> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the / operator.

pub fn div(
    self,
    rhs: Transform<N, D, C>
) -> <Translation<N, D> as Div<Transform<N, D, C>>>::Output

Performs the / operation.

impl<'a, N, D, C> Div<Transform<N, D, C>> for &'a Translation<N, D> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the / operator.

pub fn div(
    self,
    rhs: Transform<N, D, C>
) -> <&'a Translation<N, D> as Div<Transform<N, D, C>>>::Output

Performs the / operation.

impl<'a, N, D> Div<Translation<N, D>> for &'a Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedSub<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Translation<N, D>

The resulting type after applying the / operator.

pub fn div(
    self,
    right: Translation<N, D>
) -> <&'a Translation<N, D> as Div<Translation<N, D>>>::Output

Performs the / operation.

impl<N, D, C> Div<Translation<N, D>> for Transform<N, D, C> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, U1>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the / operator.

pub fn div(
    self,
    rhs: Translation<N, D>
) -> <Transform<N, D, C> as Div<Translation<N, D>>>::Output

Performs the / operation.

impl<'a, N, D, C> Div<Translation<N, D>> for &'a Transform<N, D, C> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, U1>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the / operator.

pub fn div(
    self,
    rhs: Translation<N, D>
) -> <&'a Transform<N, D, C> as Div<Translation<N, D>>>::Output

Performs the / operation.

impl<N, D> Div<Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedSub<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Translation<N, D>

The resulting type after applying the / operator.

pub fn div(
    self,
    right: Translation<N, D>
) -> <Translation<N, D> as Div<Translation<N, D>>>::Output

Performs the / operation.

impl<'b, N, D, C> DivAssign<&'b Translation<N, D>> for Transform<N, D, C> where
    C: TCategory,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>, 

pub fn div_assign(&mut self, rhs: &'b Translation<N, D>)

Performs the /= operation.

impl<'b, N, D> DivAssign<&'b Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedSub<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>, 

pub fn div_assign(&mut self, right: &'b Translation<N, D>)

Performs the /= operation.

impl<N, D> DivAssign<Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedSub<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>, 

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

Performs the /= operation.

impl<N, D, C> DivAssign<Translation<N, D>> for Transform<N, D, C> where
    C: TCategory,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

Performs the /= operation.

impl<N, D> From<[Translation<<N as SimdValue>::Element, D>; 16]> for Translation<N, D> where
    D: DimName,
    N: Scalar + PrimitiveSimdValue + From<[<N as SimdValue>::Element; 16]>,
    <N as SimdValue>::Element: Scalar,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<<N as SimdValue>::Element, D, U1>, 

pub fn from(
    arr: [Translation<<N as SimdValue>::Element, D>; 16]
) -> Translation<N, D>

Performs the conversion.

impl<N, D> From<[Translation<<N as SimdValue>::Element, D>; 2]> for Translation<N, D> where
    D: DimName,
    N: Scalar + PrimitiveSimdValue + From<[<N as SimdValue>::Element; 2]>,
    <N as SimdValue>::Element: Scalar,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<<N as SimdValue>::Element, D, U1>, 

pub fn from(
    arr: [Translation<<N as SimdValue>::Element, D>; 2]
) -> Translation<N, D>

Performs the conversion.

impl<N, D> From<[Translation<<N as SimdValue>::Element, D>; 4]> for Translation<N, D> where
    D: DimName,
    N: Scalar + PrimitiveSimdValue + From<[<N as SimdValue>::Element; 4]>,
    <N as SimdValue>::Element: Scalar,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<<N as SimdValue>::Element, D, U1>, 

pub fn from(
    arr: [Translation<<N as SimdValue>::Element, D>; 4]
) -> Translation<N, D>

Performs the conversion.

impl<N, D> From<[Translation<<N as SimdValue>::Element, D>; 8]> for Translation<N, D> where
    D: DimName,
    N: Scalar + PrimitiveSimdValue + From<[<N as SimdValue>::Element; 8]>,
    <N as SimdValue>::Element: Scalar,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<<N as SimdValue>::Element, D, U1>, 

pub fn from(
    arr: [Translation<<N as SimdValue>::Element, D>; 8]
) -> Translation<N, D>

Performs the conversion.

impl<N, D> From<Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>> for Translation<N, D> where
    D: DimName,
    N: Scalar,
    DefaultAllocator: Allocator<N, D, U1>, 

pub fn from(
    vector: Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>
) -> Translation<N, D>

Performs the conversion.

impl<N, D> From<Translation<N, D>> for Matrix<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer> where
    D: DimName + DimNameAdd<U1>,
    N: Scalar + Zero + One,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 

pub fn from(
    t: Translation<N, D>
) -> Matrix<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>

Performs the conversion.

impl<N, D, R> From<Translation<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    DefaultAllocator: Allocator<N, D, U1>, 

pub fn from(tra: Translation<N, D>) -> Isometry<N, D, R>

Performs the conversion.

impl<N, D> Hash for Translation<N, D> where
    D: DimName + Hash,
    N: Scalar + Hash,
    DefaultAllocator: Allocator<N, D, U1>,
    <DefaultAllocator as Allocator<N, D, U1>>::Buffer: Hash, 

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

Feeds this value into the given Hasher.

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

Feeds a slice of this type into the given Hasher.

impl<'b, N, D, R> Mul<&'b Isometry<N, D, R>> for Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Isometry<N, D, R>
) -> <Translation<N, D> as Mul<&'b Isometry<N, D, R>>>::Output

Performs the * operation.

impl<'a, 'b, N, D, R> Mul<&'b Isometry<N, D, R>> for &'a Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Isometry<N, D, R>
) -> <&'a Translation<N, D> as Mul<&'b Isometry<N, D, R>>>::Output

Performs the * operation.

impl<'b, N, D> Mul<&'b Point<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Point<N, D>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Point<N, D>
) -> <Translation<N, D> as Mul<&'b Point<N, D>>>::Output

Performs the * operation.

impl<'a, 'b, N, D> Mul<&'b Point<N, D>> for &'a Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Point<N, D>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Point<N, D>
) -> <&'a Translation<N, D> as Mul<&'b Point<N, D>>>::Output

Performs the * operation.

impl<'b, N, D> Mul<&'b Rotation<N, D>> for Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Rotation<N, D>
) -> <Translation<N, D> as Mul<&'b Rotation<N, D>>>::Output

Performs the * operation.

impl<'a, 'b, N, D> Mul<&'b Rotation<N, D>> for &'a Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Rotation<N, D>
) -> <&'a Translation<N, D> as Mul<&'b Rotation<N, D>>>::Output

Performs the * operation.

impl<'b, N, D, R> Mul<&'b Similarity<N, D, R>> for Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Similarity<N, D, R>
) -> <Translation<N, D> as Mul<&'b Similarity<N, D, R>>>::Output

Performs the * operation.

impl<'a, 'b, N, D, R> Mul<&'b Similarity<N, D, R>> for &'a Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Similarity<N, D, R>
) -> <&'a Translation<N, D> as Mul<&'b Similarity<N, D, R>>>::Output

Performs the * operation.

impl<'a, 'b, N, D, C> Mul<&'b Transform<N, D, C>> for &'a Translation<N, D> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: &'b Transform<N, D, C>
) -> <&'a Translation<N, D> as Mul<&'b Transform<N, D, C>>>::Output

Performs the * operation.

impl<'b, N, D, C> Mul<&'b Transform<N, D, C>> for Translation<N, D> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: &'b Transform<N, D, C>
) -> <Translation<N, D> as Mul<&'b Transform<N, D, C>>>::Output

Performs the * operation.

impl<'a, 'b, N, D, R> Mul<&'b Translation<N, D>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Translation<N, D>
) -> <&'a Isometry<N, D, R> as Mul<&'b Translation<N, D>>>::Output

Performs the * operation.

impl<'b, N, D> Mul<&'b Translation<N, D>> for Rotation<N, D> where
    D: DimName,
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Translation<N, D>
) -> <Rotation<N, D> as Mul<&'b Translation<N, D>>>::Output

Performs the * operation.

impl<'b, N, D, C> Mul<&'b Translation<N, D>> for Transform<N, D, C> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, U1>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: &'b Translation<N, D>
) -> <Transform<N, D, C> as Mul<&'b Translation<N, D>>>::Output

Performs the * operation.

impl<'a, 'b, N, D> Mul<&'b Translation<N, D>> for &'a Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Translation<N, D>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Translation<N, D>
) -> <&'a Translation<N, D> as Mul<&'b Translation<N, D>>>::Output

Performs the * operation.

impl<'a, 'b, N, D, R> Mul<&'b Translation<N, D>> for &'a Similarity<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Translation<N, D>
) -> <&'a Similarity<N, D, R> as Mul<&'b Translation<N, D>>>::Output

Performs the * operation.

impl<'a, 'b, N, D> Mul<&'b Translation<N, D>> for &'a Rotation<N, D> where
    D: DimName,
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Translation<N, D>
) -> <&'a Rotation<N, D> as Mul<&'b Translation<N, D>>>::Output

Performs the * operation.

impl<'a, 'b, N, D, C> Mul<&'b Translation<N, D>> for &'a Transform<N, D, C> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, U1>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: &'b Translation<N, D>
) -> <&'a Transform<N, D, C> as Mul<&'b Translation<N, D>>>::Output

Performs the * operation.

impl<'b, N, D, R> Mul<&'b Translation<N, D>> for Similarity<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Translation<N, D>
) -> <Similarity<N, D, R> as Mul<&'b Translation<N, D>>>::Output

Performs the * operation.

impl<'b, N, D> Mul<&'b Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Translation<N, D>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Translation<N, D>
) -> <Translation<N, D> as Mul<&'b Translation<N, D>>>::Output

Performs the * operation.

impl<'b, N, D, R> Mul<&'b Translation<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Translation<N, D>
) -> <Isometry<N, D, R> as Mul<&'b Translation<N, D>>>::Output

Performs the * operation.

impl<'b, N> Mul<&'b Translation<N, U2>> for Unit<Complex<N>> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, Unit<Complex<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: &'b Translation<N, U2>
) -> <Unit<Complex<N>> as Mul<&'b Translation<N, U2>>>::Output

Performs the * operation.

impl<'a, 'b, N> Mul<&'b Translation<N, U2>> for &'a Unit<Complex<N>> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, Unit<Complex<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: &'b Translation<N, U2>
) -> <&'a Unit<Complex<N>> as Mul<&'b Translation<N, U2>>>::Output

Performs the * operation.

impl<'b, N> Mul<&'b Translation<N, U3>> for Unit<Quaternion<N>> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U4, U1>,
    DefaultAllocator: Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, Unit<Quaternion<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Translation<N, U3>
) -> <Unit<Quaternion<N>> as Mul<&'b Translation<N, U3>>>::Output

Performs the * operation.

impl<'a, 'b, N> Mul<&'b Translation<N, U3>> for &'a Unit<Quaternion<N>> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U4, U1>,
    DefaultAllocator: Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, Unit<Quaternion<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Translation<N, U3>
) -> <&'a Unit<Quaternion<N>> as Mul<&'b Translation<N, U3>>>::Output

Performs the * operation.

impl<'a, 'b, N> Mul<&'b Unit<Complex<N>>> for &'a Translation<N, U2> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, Unit<Complex<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Unit<Complex<N>>
) -> <&'a Translation<N, U2> as Mul<&'b Unit<Complex<N>>>>::Output

Performs the * operation.

impl<'b, N> Mul<&'b Unit<Complex<N>>> for Translation<N, U2> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, Unit<Complex<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Unit<Complex<N>>
) -> <Translation<N, U2> as Mul<&'b Unit<Complex<N>>>>::Output

Performs the * operation.

impl<'a, 'b, N> Mul<&'b Unit<Quaternion<N>>> for &'a Translation<N, U3> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U4, U1>,
    DefaultAllocator: Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, Unit<Quaternion<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Unit<Quaternion<N>>
) -> <&'a Translation<N, U3> as Mul<&'b Unit<Quaternion<N>>>>::Output

Performs the * operation.

impl<'b, N> Mul<&'b Unit<Quaternion<N>>> for Translation<N, U3> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U4, U1>,
    DefaultAllocator: Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, Unit<Quaternion<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: &'b Unit<Quaternion<N>>
) -> <Translation<N, U3> as Mul<&'b Unit<Quaternion<N>>>>::Output

Performs the * operation.

impl<'a, N, D, R> Mul<Isometry<N, D, R>> for &'a Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Isometry<N, D, R>
) -> <&'a Translation<N, D> as Mul<Isometry<N, D, R>>>::Output

Performs the * operation.

impl<N, D, R> Mul<Isometry<N, D, R>> for Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Isometry<N, D, R>
) -> <Translation<N, D> as Mul<Isometry<N, D, R>>>::Output

Performs the * operation.

impl<'a, N, D> Mul<Point<N, D>> for &'a Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Point<N, D>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Point<N, D>
) -> <&'a Translation<N, D> as Mul<Point<N, D>>>::Output

Performs the * operation.

impl<N, D> Mul<Point<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Point<N, D>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Point<N, D>
) -> <Translation<N, D> as Mul<Point<N, D>>>::Output

Performs the * operation.

impl<'a, N, D> Mul<Rotation<N, D>> for &'a Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Rotation<N, D>
) -> <&'a Translation<N, D> as Mul<Rotation<N, D>>>::Output

Performs the * operation.

impl<N, D> Mul<Rotation<N, D>> for Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Rotation<N, D>
) -> <Translation<N, D> as Mul<Rotation<N, D>>>::Output

Performs the * operation.

impl<'a, N, D, R> Mul<Similarity<N, D, R>> for &'a Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Similarity<N, D, R>
) -> <&'a Translation<N, D> as Mul<Similarity<N, D, R>>>::Output

Performs the * operation.

impl<N, D, R> Mul<Similarity<N, D, R>> for Translation<N, D> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Similarity<N, D, R>
) -> <Translation<N, D> as Mul<Similarity<N, D, R>>>::Output

Performs the * operation.

impl<N, D, C> Mul<Transform<N, D, C>> for Translation<N, D> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: Transform<N, D, C>
) -> <Translation<N, D> as Mul<Transform<N, D, C>>>::Output

Performs the * operation.

impl<'a, N, D, C> Mul<Transform<N, D, C>> for &'a Translation<N, D> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimNameAdd<U1>>::Output>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: Transform<N, D, C>
) -> <&'a Translation<N, D> as Mul<Transform<N, D, C>>>::Output

Performs the * operation.

impl<'a, N, D> Mul<Translation<N, D>> for &'a Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Translation<N, D>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Translation<N, D>
) -> <&'a Translation<N, D> as Mul<Translation<N, D>>>::Output

Performs the * operation.

impl<'a, N, D, C> Mul<Translation<N, D>> for &'a Transform<N, D, C> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, U1>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: Translation<N, D>
) -> <&'a Transform<N, D, C> as Mul<Translation<N, D>>>::Output

Performs the * operation.

impl<'a, N, D, R> Mul<Translation<N, D>> for &'a Similarity<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Translation<N, D>
) -> <&'a Similarity<N, D, R> as Mul<Translation<N, D>>>::Output

Performs the * operation.

impl<N, D, R> Mul<Translation<N, D>> for Similarity<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Translation<N, D>
) -> <Similarity<N, D, R> as Mul<Translation<N, D>>>::Output

Performs the * operation.

impl<N, D> Mul<Translation<N, D>> for Rotation<N, D> where
    D: DimName,
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Translation<N, D>
) -> <Rotation<N, D> as Mul<Translation<N, D>>>::Output

Performs the * operation.

impl<N, D> Mul<Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: SameShapeAllocator<N, D, U1, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>,
    <ShapeConstraint as SameNumberOfRows<D, D>>::Representative == D, 

type Output = Translation<N, D>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Translation<N, D>
) -> <Translation<N, D> as Mul<Translation<N, D>>>::Output

Performs the * operation.

impl<'a, N, D> Mul<Translation<N, D>> for &'a Rotation<N, D> where
    D: DimName,
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Translation<N, D>
) -> <&'a Rotation<N, D> as Mul<Translation<N, D>>>::Output

Performs the * operation.

impl<N, D, C> Mul<Translation<N, D>> for Transform<N, D, C> where
    C: TCategoryMul<TAffine>,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, U1>, 

type Output = Transform<N, D, <C as TCategoryMul<TAffine>>::Representative>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: Translation<N, D>
) -> <Transform<N, D, C> as Mul<Translation<N, D>>>::Output

Performs the * operation.

impl<N, D, R> Mul<Translation<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Translation<N, D>
) -> <Isometry<N, D, R> as Mul<Translation<N, D>>>::Output

Performs the * operation.

impl<'a, N, D, R> Mul<Translation<N, D>> for &'a Isometry<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Translation<N, D>
) -> <&'a Isometry<N, D, R> as Mul<Translation<N, D>>>::Output

Performs the * operation.

impl<N> Mul<Translation<N, U2>> for Unit<Complex<N>> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, Unit<Complex<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: Translation<N, U2>
) -> <Unit<Complex<N>> as Mul<Translation<N, U2>>>::Output

Performs the * operation.

impl<'a, N> Mul<Translation<N, U2>> for &'a Unit<Complex<N>> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, Unit<Complex<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    rhs: Translation<N, U2>
) -> <&'a Unit<Complex<N>> as Mul<Translation<N, U2>>>::Output

Performs the * operation.

impl<N> Mul<Translation<N, U3>> for Unit<Quaternion<N>> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U4, U1>,
    DefaultAllocator: Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, Unit<Quaternion<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Translation<N, U3>
) -> <Unit<Quaternion<N>> as Mul<Translation<N, U3>>>::Output

Performs the * operation.

impl<'a, N> Mul<Translation<N, U3>> for &'a Unit<Quaternion<N>> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U4, U1>,
    DefaultAllocator: Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, Unit<Quaternion<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Translation<N, U3>
) -> <&'a Unit<Quaternion<N>> as Mul<Translation<N, U3>>>::Output

Performs the * operation.

impl<N> Mul<Unit<Complex<N>>> for Translation<N, U2> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, Unit<Complex<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Unit<Complex<N>>
) -> <Translation<N, U2> as Mul<Unit<Complex<N>>>>::Output

Performs the * operation.

impl<'a, N> Mul<Unit<Complex<N>>> for &'a Translation<N, U2> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, Unit<Complex<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Unit<Complex<N>>
) -> <&'a Translation<N, U2> as Mul<Unit<Complex<N>>>>::Output

Performs the * operation.

impl<'a, N> Mul<Unit<Quaternion<N>>> for &'a Translation<N, U3> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U4, U1>,
    DefaultAllocator: Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, Unit<Quaternion<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Unit<Quaternion<N>>
) -> <&'a Translation<N, U3> as Mul<Unit<Quaternion<N>>>>::Output

Performs the * operation.

impl<N> Mul<Unit<Quaternion<N>>> for Translation<N, U3> where
    N: SimdRealField,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, U4, U1>,
    DefaultAllocator: Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, Unit<Quaternion<N>>>

The resulting type after applying the * operator.

pub fn mul(
    self,
    right: Unit<Quaternion<N>>
) -> <Translation<N, U3> as Mul<Unit<Quaternion<N>>>>::Output

Performs the * operation.

impl<'b, N, D> MulAssign<&'b Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>, 

pub fn mul_assign(&mut self, right: &'b Translation<N, D>)

Performs the *= operation.

impl<'b, N, D, C> MulAssign<&'b Translation<N, D>> for Transform<N, D, C> where
    C: TCategory,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>, 

pub fn mul_assign(&mut self, rhs: &'b Translation<N, D>)

Performs the *= operation.

impl<'b, N, D, R> MulAssign<&'b Translation<N, D>> for Similarity<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

pub fn mul_assign(&mut self, rhs: &'b Translation<N, D>)

Performs the *= operation.

impl<'b, N, D, R> MulAssign<&'b Translation<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

pub fn mul_assign(&mut self, rhs: &'b Translation<N, D>)

Performs the *= operation.

impl<N, D> MulAssign<Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, D, U1>,
    ShapeConstraint: SameNumberOfRows<D, D>,
    ShapeConstraint: SameNumberOfColumns<U1, U1>, 

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

Performs the *= operation.

impl<N, D, R> MulAssign<Translation<N, D>> for Isometry<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

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

Performs the *= operation.

impl<N, D, R> MulAssign<Translation<N, D>> for Similarity<N, D, R> where
    D: DimName,
    N: SimdRealField,
    R: AbstractRotation<N, D>,
    <N as SimdValue>::Element: SimdRealField,
    DefaultAllocator: Allocator<N, D, U1>, 

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

Performs the *= operation.

impl<N, D, C> MulAssign<Translation<N, D>> for Transform<N, D, C> where
    C: TCategory,
    D: DimNameAdd<U1>,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

Performs the *= operation.

impl<N, D> One for Translation<N, D> where
    D: DimName,
    N: Scalar + Zero + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, U1>, 

pub fn one() -> Translation<N, D>

Returns the multiplicative identity element of Self, 1.

pub fn set_one(&mut self)

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

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

Returns true if self is equal to the multiplicative identity.

impl<N, D> PartialEq<Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + PartialEq<N>,
    DefaultAllocator: Allocator<N, D, U1>, 

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

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

#[must_use]

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

This method tests for !=.

impl<N, D> RelativeEq<Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + RelativeEq<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    <N as AbsDiffEq<N>>::Epsilon: Copy, 

pub fn default_max_relative(
) -> <Translation<N, D> as AbsDiffEq<Translation<N, D>>>::Epsilon

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

pub fn relative_eq(
    &self,
    other: &Translation<N, D>,
    epsilon: <Translation<N, D> as AbsDiffEq<Translation<N, D>>>::Epsilon,
    max_relative: <Translation<N, D> as AbsDiffEq<Translation<N, D>>>::Epsilon
) -> bool

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

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

The inverse of RelativeEq::relative_eq.

impl<N, D> Serialize for Translation<N, D> where
    D: DimName,
    N: Scalar,
    DefaultAllocator: Allocator<N, D, U1>,
    <DefaultAllocator as Allocator<N, D, U1>>::Buffer: Serialize, 

pub fn serialize<S>(
    &self,
    serializer: S
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error> where
    S: Serializer, 

Serialize this value into the given Serde serializer.

impl<N, D> SimdValue for Translation<N, D> where
    D: DimName,
    N: Scalar + SimdValue,
    <N as SimdValue>::Element: Scalar,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<<N as SimdValue>::Element, D, U1>, 

type Element = Translation<<N as SimdValue>::Element, D>

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

type SimdBool = <N as SimdValue>::SimdBool

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

pub fn lanes() -> usize

The number of lanes of this SIMD value.

pub fn splat(
    val: <Translation<N, D> as SimdValue>::Element
) -> Translation<N, D>

Initializes an SIMD value with each lanes set to val.

pub fn extract(&self, i: usize) -> <Translation<N, D> as SimdValue>::Element

Extracts the i-th lane of self.

pub unsafe fn extract_unchecked(
    &self,
    i: usize
) -> <Translation<N, D> as SimdValue>::Element

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

pub fn replace(
    &mut self,
    i: usize,
    val: <Translation<N, D> as SimdValue>::Element
)

Replaces the i-th lane of self by val.

pub unsafe fn replace_unchecked(
    &mut self,
    i: usize,
    val: <Translation<N, D> as SimdValue>::Element
)

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

pub fn select(
    self,
    cond: <Translation<N, D> as SimdValue>::SimdBool,
    other: Translation<N, D>
) -> Translation<N, D>

Merges self and other depending on the lanes of cond.

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

Applies a function to each lane of self.

pub 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.

impl<N1, N2, D, R> SubsetOf<Isometry<N2, D, R>> for Translation<N1, D> where
    D: DimName,
    R: AbstractRotation<N2, D>,
    N1: RealField,
    N2: RealField + SupersetOf<N1>,
    DefaultAllocator: Allocator<N1, D, U1>,
    DefaultAllocator: Allocator<N2, D, U1>, 

pub fn to_superset(&self) -> Isometry<N2, D, R>

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

pub fn is_in_subset(iso: &Isometry<N2, D, R>) -> bool

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

pub fn from_superset_unchecked(iso: &Isometry<N2, D, R>) -> Translation<N1, D>

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

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

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

impl<N1, N2, D> SubsetOf<Matrix<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>> for Translation<N1, D> where
    D: DimNameAdd<U1>,
    N1: RealField,
    N2: RealField + SupersetOf<N1>,
    DefaultAllocator: Allocator<N1, D, U1>,
    DefaultAllocator: Allocator<N2, D, U1>,
    DefaultAllocator: Allocator<N1, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 

pub fn to_superset(
    &self
) -> Matrix<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>

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

pub fn is_in_subset(
    m: &Matrix<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>
) -> bool

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

pub fn from_superset_unchecked(
    m: &Matrix<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output, <DefaultAllocator as Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>>::Buffer>
) -> Translation<N1, D>

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

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

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

impl<N1, N2, D, R> SubsetOf<Similarity<N2, D, R>> for Translation<N1, D> where
    D: DimName,
    R: AbstractRotation<N2, D>,
    N1: RealField,
    N2: RealField + SupersetOf<N1>,
    DefaultAllocator: Allocator<N1, D, U1>,
    DefaultAllocator: Allocator<N2, D, U1>, 

pub fn to_superset(&self) -> Similarity<N2, D, R>

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

pub fn is_in_subset(sim: &Similarity<N2, D, R>) -> bool

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

pub fn from_superset_unchecked(sim: &Similarity<N2, D, R>) -> Translation<N1, D>

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

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

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

impl<N1, N2, D, C> SubsetOf<Transform<N2, D, C>> for Translation<N1, D> where
    C: SuperTCategoryOf<TAffine>,
    D: DimNameAdd<U1>,
    N1: RealField,
    N2: RealField + SupersetOf<N1>,
    DefaultAllocator: Allocator<N1, D, U1>,
    DefaultAllocator: Allocator<N2, D, U1>,
    DefaultAllocator: Allocator<N1, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,
    DefaultAllocator: Allocator<N2, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 

pub fn to_superset(&self) -> Transform<N2, D, C>

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

pub fn is_in_subset(t: &Transform<N2, D, C>) -> bool

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

pub fn from_superset_unchecked(t: &Transform<N2, D, C>) -> Translation<N1, D>

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

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

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

impl<N1, N2, D> SubsetOf<Translation<N2, D>> for Translation<N1, D> where
    D: DimName,
    N1: Scalar,
    N2: Scalar + SupersetOf<N1>,
    DefaultAllocator: Allocator<N1, D, U1>,
    DefaultAllocator: Allocator<N2, D, U1>, 

pub fn to_superset(&self) -> Translation<N2, D>

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

pub fn is_in_subset(rot: &Translation<N2, D>) -> bool

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

pub fn from_superset_unchecked(rot: &Translation<N2, D>) -> Translation<N1, D>

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

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

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

impl<N, D> UlpsEq<Translation<N, D>> for Translation<N, D> where
    D: DimName,
    N: Scalar + UlpsEq<N>,
    DefaultAllocator: Allocator<N, D, U1>,
    <N as AbsDiffEq<N>>::Epsilon: Copy, 

pub fn default_max_ulps() -> u32

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

pub fn ulps_eq(
    &self,
    other: &Translation<N, D>,
    epsilon: <Translation<N, D> as AbsDiffEq<Translation<N, D>>>::Epsilon,
    max_ulps: u32
) -> bool

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

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

The inverse of UlpsEq::ulps_eq.

impl<N, D> Copy for Translation<N, D> where
    D: DimName,
    N: Scalar + Copy,
    DefaultAllocator: Allocator<N, D, U1>,
    <DefaultAllocator as Allocator<N, D, U1>>::Buffer: Copy, 

impl<N, D> Eq for Translation<N, D> where
    D: DimName,
    N: Scalar + Eq,
    DefaultAllocator: Allocator<N, D, U1>,