Struct nalgebra::geometry::Translation

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

A translation.

Fields

vector: VectorN<N, D>

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

Methods

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

pub fn from_vector(vector: VectorN<N, D>) -> Translation<N, D>

Creates a new translation from the given vector.

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

Inverts self.

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

Converts this translation into its equivalent homogeneous transformation matrix.

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

Inverts self in-place.

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

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

Creates a new square identity rotation of the given dimension.

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

pub fn new(x: N) -> Self

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

Trait Implementations

impl<N: Real> Mul<Translation<N, U2>> for UnitComplex<N> where
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, UnitComplex<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: Translation<N, U2>) -> Self::Output

Performs the * operation.

impl<'a, N: Real> Mul<Translation<N, U2>> for &'a UnitComplex<N> where
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, UnitComplex<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: Translation<N, U2>) -> Self::Output

Performs the * operation.

impl<'b, N: Real> Mul<&'b Translation<N, U2>> for UnitComplex<N> where
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, UnitComplex<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Translation<N, U2>) -> Self::Output

Performs the * operation.

impl<'a, 'b, N: Real> Mul<&'b Translation<N, U2>> for &'a UnitComplex<N> where
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, UnitComplex<N>>

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Translation<N, U2>) -> Self::Output

Performs the * operation.

impl<N: Real> Mul<UnitComplex<N>> for Translation<N, U2> where
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, UnitComplex<N>>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a, N: Real> Mul<UnitComplex<N>> for &'a Translation<N, U2> where
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, UnitComplex<N>>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'b, N: Real> Mul<&'b UnitComplex<N>> for Translation<N, U2> where
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, UnitComplex<N>>

The resulting type after applying the * operator.

fn mul(self, right: &'b UnitComplex<N>) -> Self::Output

Performs the * operation.

impl<'a, 'b, N: Real> Mul<&'b UnitComplex<N>> for &'a Translation<N, U2> where
    DefaultAllocator: Allocator<N, U2, U1>, 

type Output = Isometry<N, U2, UnitComplex<N>>

The resulting type after applying the * operator.

fn mul(self, right: &'b UnitComplex<N>) -> Self::Output

Performs the * operation.

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

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

Formats the value using the given formatter.

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

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

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: Scalar, D: DimName> Copy for Translation<N, D> where
    DefaultAllocator: Allocator<N, D>,
    Owned<N, D>: Copy, 

impl<N: Scalar, D: DimName> Clone for Translation<N, D> where
    DefaultAllocator: Allocator<N, D>,
    Owned<N, D>: Clone, 

fn clone(&self) -> Self

Returns a copy of the value.

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

Performs copy-assignment from source.

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

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

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

type Epsilon = N::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> Self::Epsilon

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

fn default_max_relative() -> Self::Epsilon

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

fn default_max_ulps() -> u32

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

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

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

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

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

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

The inverse of ApproxEq::relative_eq.

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

The inverse of ApproxEq::ulps_eq.

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

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

Formats the value using the given formatter.

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

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

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

Returns true if self is equal to the multiplicative identity.

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

fn rand<G: Rng>(rng: &mut G) -> Self

Generates a random instance of this type using the specified source of randomness.

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

type Output = Translation<N, D>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Translation<N, D>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Translation<N, D>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Translation<N, D>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Translation<N, D>

The resulting type after applying the / operator.

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

Performs the / operation.

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

type Output = Translation<N, D>

The resulting type after applying the / operator.

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

Performs the / operation.

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

type Output = Translation<N, D>

The resulting type after applying the / operator.

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

Performs the / operation.

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

type Output = Translation<N, D>

The resulting type after applying the / operator.

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

Performs the / operation.

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

type Output = Point<N, D>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Point<N, D>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Point<N, D>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Point<N, D>

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

Performs the *= operation.

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

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

Performs the *= operation.

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

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

Performs the /= operation.

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

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

Performs the /= operation.

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

fn identity() -> Self

The identity element.

fn id(O) -> Self

Specific identity.

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

fn inverse(&self) -> Self

Returns the inverse of self, relative to the operator O.

fn inverse_mut(&mut self)

In-place inversin of self.

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

fn operate(&self, rhs: &Self) -> Self

Performs an operation.

fn op(&self, O, lhs: &Self) -> Self

Performs specific operation.

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

fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
    Self: ApproxEq, 

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications.

fn prop_is_associative(args: (Self, Self, Self)) -> bool where
    Self: Eq, 

Returns true if associativity holds for the given arguments.

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

fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
    Self: ApproxEq, 

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications.

fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
    Self: Eq, 

Checks whether operating with the identity element is a no-op for the given argument.

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

fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
    Self: ApproxEq, 

Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications.

fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
    Self: Eq, 

Returns true if latin squareness holds for the given arguments.

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

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

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

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

Applies this group's action on a point from the euclidean space.

fn transform_vector(&self, v: &VectorN<N, D>) -> VectorN<N, D>

Applies this group's action on a vector from the euclidean space.

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

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

Applies this group's inverse action on a point from the euclidean space.

fn inverse_transform_vector(&self, v: &VectorN<N, D>) -> VectorN<N, D>

Applies this group's inverse action on a vector from the euclidean space.

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

type Rotation = Id

Type of the first rotation to be applied.

type NonUniformScaling = Id

Type of the non-uniform scaling to be applied.

type Translation = Self

The type of the pure translation part of this affine transformation.

fn decompose(&self) -> (Self, Id, Id, Id)

Decomposes this affine transformation into a rotation followed by a non-uniform scaling, followed by a rotation, followed by a translation.

fn append_translation(&self, t: &Self::Translation) -> Self

Appends a translation to this similarity.

fn prepend_translation(&self, t: &Self::Translation) -> Self

Prepends a translation to this similarity.

fn append_rotation(&self, _: &Self::Rotation) -> Self

Appends a rotation to this similarity.

fn prepend_rotation(&self, _: &Self::Rotation) -> Self

Prepends a rotation to this similarity.

fn append_scaling(&self, _: &Self::NonUniformScaling) -> Self

Appends a scaling factor to this similarity.

fn prepend_scaling(&self, _: &Self::NonUniformScaling) -> Self

Prepends a scaling factor to this similarity.

fn append_rotation_wrt_point(&self, r: &Self::Rotation, p: &E) -> Option<Self>

Appends to this similarity a rotation centered at the point p, i.e., this point is left invariant.

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

type Scaling = Id

The type of the pure (uniform) scaling part of this similarity transformation.

fn translation(&self) -> Self

The pure translational component of this similarity transformation.

fn rotation(&self) -> Id

The pure rotational component of this similarity transformation.

fn scaling(&self) -> Id

The pure scaling component of this similarity transformation.

fn translate_point(&self, pt: &E) -> E

Applies this transformation's pure translational part to a point.

fn rotate_point(&self, pt: &E) -> E

Applies this transformation's pure rotational part to a point.

fn scale_point(&self, pt: &E) -> E

Applies this transformation's pure scaling part to a point.

fn rotate_vector(
    &self,
    pt: &<E as EuclideanSpace>::Coordinates
) -> <E as EuclideanSpace>::Coordinates

Applies this transformation's pure rotational part to a vector.

fn scale_vector(
    &self,
    pt: &<E as EuclideanSpace>::Coordinates
) -> <E as EuclideanSpace>::Coordinates

Applies this transformation's pure scaling part to a vector.

fn inverse_translate_point(&self, pt: &E) -> E

Applies this transformation inverse's pure translational part to a point.

fn inverse_rotate_point(&self, pt: &E) -> E

Applies this transformation inverse's pure rotational part to a point.

fn inverse_scale_point(&self, pt: &E) -> E

Applies this transformation inverse's pure scaling part to a point.

fn inverse_rotate_vector(
    &self,
    pt: &<E as EuclideanSpace>::Coordinates
) -> <E as EuclideanSpace>::Coordinates

Applies this transformation inverse's pure rotational part to a vector.

fn inverse_scale_vector(
    &self,
    pt: &<E as EuclideanSpace>::Coordinates
) -> <E as EuclideanSpace>::Coordinates

Applies this transformation inverse's pure scaling part to a vector.

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

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

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

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

fn to_vector(&self) -> VectorN<N, D>

Converts this translation to a vector.

fn from_vector(v: VectorN<N, D>) -> Option<Self>

Attempts to convert a vector to this translation. Returns None if the translation represented by v is not part of the translation subgroup represented by Self.

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

Raises the translation to a power. The result must be equivalent to self.to_superset() * n. Returns None if the result is not representable by Self.

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

The translation needed to make a coincide with b, i.e., b = a * translation_to(a, b).

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

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

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

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).

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

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

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

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

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

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).

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

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

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

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

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

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).

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

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

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
    N1: Real,
    N2: Real + SupersetOf<N1>,
    C: SuperTCategoryOf<TAffine>,
    D: DimNameAdd<U1>,
    DefaultAllocator: Allocator<N1, D> + Allocator<N2, D> + Allocator<N1, DimNameSum<D, U1>, DimNameSum<D, U1>> + Allocator<N2, DimNameSum<D, U1>, DimNameSum<D, U1>>, 

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

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

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).

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

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

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<MatrixN<N2, DimNameSum<D, U1>>> for Translation<N1, D> where
    N1: Real,
    N2: Real + SupersetOf<N1>,
    D: DimNameAdd<U1>,
    DefaultAllocator: Allocator<N1, D> + Allocator<N2, D> + Allocator<N1, DimNameSum<D, U1>, DimNameSum<D, U1>> + Allocator<N2, DimNameSum<D, U1>, DimNameSum<D, U1>>, 

fn to_superset(&self) -> MatrixN<N2, DimNameSum<D, U1>>

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

fn is_in_subset(m: &MatrixN<N2, DimNameSum<D, U1>>) -> bool

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

unsafe fn from_superset_unchecked(m: &MatrixN<N2, DimNameSum<D, U1>>) -> Self

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

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

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

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

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

Performs the *= operation.

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

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

Performs the *= operation.

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

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Isometry<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

impl<N: Real> Mul<Translation<N, U3>> for UnitQuaternion<N> where
    DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, UnitQuaternion<N>>

The resulting type after applying the * operator.

fn mul(self, right: Translation<N, U3>) -> Self::Output

Performs the * operation.

impl<'a, N: Real> Mul<Translation<N, U3>> for &'a UnitQuaternion<N> where
    DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, UnitQuaternion<N>>

The resulting type after applying the * operator.

fn mul(self, right: Translation<N, U3>) -> Self::Output

Performs the * operation.

impl<'b, N: Real> Mul<&'b Translation<N, U3>> for UnitQuaternion<N> where
    DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, UnitQuaternion<N>>

The resulting type after applying the * operator.

fn mul(self, right: &'b Translation<N, U3>) -> Self::Output

Performs the * operation.

impl<'a, 'b, N: Real> Mul<&'b Translation<N, U3>> for &'a UnitQuaternion<N> where
    DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, UnitQuaternion<N>>

The resulting type after applying the * operator.

fn mul(self, right: &'b Translation<N, U3>) -> Self::Output

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

fn mul(self, right: &'b Rotation<N, D>) -> Self::Output

Performs the * operation.

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

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

The resulting type after applying the * operator.

fn mul(self, right: &'b Rotation<N, D>) -> Self::Output

Performs the * operation.

impl<N: Real> Mul<UnitQuaternion<N>> for Translation<N, U3> where
    DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, UnitQuaternion<N>>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'a, N: Real> Mul<UnitQuaternion<N>> for &'a Translation<N, U3> where
    DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, UnitQuaternion<N>>

The resulting type after applying the * operator.

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

Performs the * operation.

impl<'b, N: Real> Mul<&'b UnitQuaternion<N>> for Translation<N, U3> where
    DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, UnitQuaternion<N>>

The resulting type after applying the * operator.

fn mul(self, right: &'b UnitQuaternion<N>) -> Self::Output

Performs the * operation.

impl<'a, 'b, N: Real> Mul<&'b UnitQuaternion<N>> for &'a Translation<N, U3> where
    DefaultAllocator: Allocator<N, U4, U1> + Allocator<N, U3, U1>, 

type Output = Isometry<N, U3, UnitQuaternion<N>>

The resulting type after applying the * operator.

fn mul(self, right: &'b UnitQuaternion<N>) -> Self::Output

Performs the * operation.

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

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

Performs the *= operation.

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

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

Performs the *= operation.

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

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Similarity<N, D, R>

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Translation<N, D>) -> Self::Output

Performs the * operation.

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

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

The resulting type after applying the * operator.

fn mul(self, rhs: &'b Translation<N, D>) -> Self::Output

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the * operator.

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

Performs the * operation.

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

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

The resulting type after applying the / operator.

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

Performs the / operation.

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

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

The resulting type after applying the / operator.

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

Performs the / operation.

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

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

The resulting type after applying the / operator.

fn div(self, rhs: &'b Translation<N, D>) -> Self::Output

Performs the / operation.

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

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

The resulting type after applying the / operator.

fn div(self, rhs: &'b Translation<N, D>) -> Self::Output

Performs the / operation.

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

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

The resulting type after applying the / operator.

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

Performs the / operation.

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

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

The resulting type after applying the / operator.

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

Performs the / operation.

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

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

The resulting type after applying the / operator.

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

Performs the / operation.

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

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

The resulting type after applying the / operator.

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

Performs the / operation.

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

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

Performs the *= operation.

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

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

Performs the *= operation.

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

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

Performs the /= operation.

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

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

Performs the /= operation.