Struct ggez::graphics::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.

Methods

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

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

Creates a new translation from the given vector.

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

Inverts self.

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.

fn inverse_mut(&mut self) where
    N: ClosedNeg, 

Inverts self in-place.

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

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

Creates a new square identity rotation of the given dimension.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

Trait Implementations

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

fn rand<G>(rng: &mut G) -> Translation<N, D> where
    G: Rng, 

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

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, 

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<N, D> AbstractMonoid<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

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

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

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

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

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

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

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

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

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: Real,
    N2: Real + 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>, 

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>

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

unsafe 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>

impl<N1, N2, D, C> SubsetOf<Transform<N2, D, C>> for Translation<N1, D> where
    C: SuperTCategoryOf<TAffine>,
    D: DimNameAdd<U1>,
    N1: Real,
    N2: Real + 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>, 

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

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

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

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>, 

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

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

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

impl<N, D> Inverse<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

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

fn inverse_mut(&mut self)

impl<N, D> ProjectiveTransformation<Point<N, D>> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

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

fn inverse_transform_vector(
    &self,
    v: &Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>
) -> Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>

impl<N, D> Translation<Point<N, D>> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

Subgroups of the n-dimensional translation group T(n).

fn to_vector(
    &self
) -> Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>

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

fn powf(&self, n: N) -> Option<Translation<N, D>>

fn translation_between(
    a: &Point<N, D>,
    b: &Point<N, D>
) -> Option<Translation<N, D>>

impl<N, D> Isometry<Point<N, D>> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D> AffineTransformation<Point<N, D>> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

type Rotation = Id<Multiplicative>

type NonUniformScaling = Id<Multiplicative>

type Translation = Translation<N, D>

fn decompose(
    &self
) -> (Translation<N, D>, Id<Multiplicative>, Id<Multiplicative>, Id<Multiplicative>)

fn append_translation(
    &self,
    t: &<Translation<N, D> as AffineTransformation<Point<N, D>>>::Translation
) -> Translation<N, D>

fn prepend_translation(
    &self,
    t: &<Translation<N, D> as AffineTransformation<Point<N, D>>>::Translation
) -> Translation<N, D>

fn append_rotation(
    &self,
    &<Translation<N, D> as AffineTransformation<Point<N, D>>>::Rotation
) -> Translation<N, D>

fn prepend_rotation(
    &self,
    &<Translation<N, D> as AffineTransformation<Point<N, D>>>::Rotation
) -> Translation<N, D>

fn append_scaling(
    &self,
    &<Translation<N, D> as AffineTransformation<Point<N, D>>>::NonUniformScaling
) -> Translation<N, D>

fn prepend_scaling(
    &self,
    &<Translation<N, D> as AffineTransformation<Point<N, D>>>::NonUniformScaling
) -> Translation<N, D>

impl<N, D> Transformation<Point<N, D>> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

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

fn transform_vector(
    &self,
    v: &Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>
) -> Matrix<N, D, U1, <DefaultAllocator as Allocator<N, D, U1>>::Buffer>

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>

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

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> + Real,
    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>

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

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> + Real,
    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>

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

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>

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

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>

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

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> + Real,
    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>

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

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>

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

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> + Real,
    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>

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

impl<N, D> AbstractSemigroup<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D> AbstractLoop<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

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>, 

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

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>, 

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

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

type Epsilon = <N as ApproxEq>::Epsilon

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

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

fn default_max_ulps() -> u32

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

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

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, 

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

Feeds this value into the given [Hasher].

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

Feeds a slice of this type into the given [Hasher].

impl<N, D> Similarity<Point<N, D>> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

type Scaling = Id<Multiplicative>

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

fn rotation(&self) -> Id<Multiplicative>

fn scaling(&self) -> Id<Multiplicative>

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

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

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

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

This method tests for !=.

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

fn fmt(&self, __arg_0: &mut Formatter) -> Result<(), Error>

Formats the value using the given formatter.

impl<N, D> DirectIsometry<Point<N, D>> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D> AbstractQuasigroup<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

impl<N, D> AbstractGroup<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

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

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

impl<N, D> Identity<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

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

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

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>, 

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

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>, 

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

impl<N, D> AbstractMagma<Multiplicative> for Translation<N, D> where
    D: DimName,
    N: Real,
    DefaultAllocator: Allocator<N, D, U1>, 

fn operate(&self, rhs: &Translation<N, D>) -> Translation<N, D>

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>

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

impl<'a, N, D, R> Mul<Similarity<N, D, R>> for &'a Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

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

impl<'a, N, D, R> Mul<Isometry<N, D, R>> for &'a Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

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

impl<N, D, R> Mul<Isometry<N, D, R>> for Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

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

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> + Real,
    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>

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

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>

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

impl<'a, N, D, R> Mul<R> for &'a Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

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

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>

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

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> + Real,
    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>

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

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>

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

impl<N, D, R> Mul<R> for Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

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

impl<N, D, R> Mul<Similarity<N, D, R>> for Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

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

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> + Real,
    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>

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

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>

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

impl<'b, N, D, R> Mul<&'b Isometry<N, D, R>> for Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

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

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>

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

impl<'a, 'b, N, D, R> Mul<&'b Similarity<N, D, R>> for &'a Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

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

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>

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

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>

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

impl<'b, N, D, R> Mul<&'b R> for Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

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

impl<'a, 'b, N, D, R> Mul<&'b Isometry<N, D, R>> for &'a Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

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

impl<'b, N, D, R> Mul<&'b Similarity<N, D, R>> for Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Similarity<N, D, R>

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

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> + Real,
    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>

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

impl<'a, 'b, N, D, R> Mul<&'b R> for &'a Translation<N, D> where
    D: DimName,
    N: Real,
    R: Rotation<Point<N, D>>,
    DefaultAllocator: Allocator<N, D, U1>, 

type Output = Isometry<N, D, R>

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

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

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

Formats the value using the given formatter.