Struct na::geometry::Transform[−][src]

#[repr(C)]
pub struct Transform<N, D, C> where
    C: TCategory,
    D: DimNameAdd<U1>,
    N: RealField,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,  { /* fields omitted */ }

A transformation matrix in homogeneous coordinates.

It is stored as a matrix with dimensions (D + 1, D + 1), e.g., it stores a 4x4 matrix for a 3D transformation.

Implementations

`impl<N, D, C> Transform<N, D, C> where C: TCategory, D: DimNameAdd<U1>, N: RealField, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,` [src]

`pub fn from_matrix_unchecked( matrix: 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> ) -> Transform<N, D, C>`[src]

Creates a new transformation from the given homogeneous matrix. The transformation category of Self is not checked to be verified by the given matrix.

`pub fn into_inner( 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>`[src]

Retrieves the underlying matrix.

Examples


let m = Matrix3::new(1.0, 2.0, 0.0,
                     3.0, 4.0, 0.0,
                     0.0, 0.0, 1.0);
let t = Transform2::from_matrix_unchecked(m);
assert_eq!(t.into_inner(), m);

`pub fn unwrap( 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>`[src]

👎 Deprecated:

use .into_inner() instead

Retrieves the underlying matrix. Deprecated: Use Transform::into_inner instead.

`pub fn matrix( &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>`[src]

A reference to the underlying matrix.

Examples


let m = Matrix3::new(1.0, 2.0, 0.0,
                     3.0, 4.0, 0.0,
                     0.0, 0.0, 1.0);
let t = Transform2::from_matrix_unchecked(m);
assert_eq!(*t.matrix(), m);

`pub fn matrix_mut_unchecked( &mut self ) -> &mut 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>`[src]

A mutable reference to the underlying matrix.

It is _unchecked because direct modifications of this matrix may break invariants identified by this transformation category.

Examples


let m = Matrix3::new(1.0, 2.0, 0.0,
                     3.0, 4.0, 0.0,
                     0.0, 0.0, 1.0);
let mut t = Transform2::from_matrix_unchecked(m);
t.matrix_mut_unchecked().m12 = 42.0;
t.matrix_mut_unchecked().m23 = 90.0;


let expected = Matrix3::new(1.0, 42.0, 0.0,
                            3.0, 4.0,  90.0,
                            0.0, 0.0,  1.0);
assert_eq!(*t.matrix(), expected);

`pub fn set_category<CNew>(self) -> Transform<N, D, CNew> where CNew: SuperTCategoryOf<C>,` [src]

Sets the category of this transform.

This can be done only if the new category is more general than the current one, e.g., a transform with category TProjective cannot be converted to a transform with category TAffine because not all projective transformations are affine (the other way-round is valid though).

`pub fn clone_owned(&self) -> Transform<N, D, C>`[src]

👎 Deprecated:

This method is redundant with automatic Copy and the .clone() method and will be removed in a future release.

Clones this transform into one that owns its data.

`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>`[src]

Converts this transform into its equivalent homogeneous transformation matrix.

Examples


let m = Matrix3::new(1.0, 2.0, 0.0,
                     3.0, 4.0, 0.0,
                     0.0, 0.0, 1.0);
let t = Transform2::from_matrix_unchecked(m);
assert_eq!(t.into_inner(), m);

`#[must_use = "Did you mean to use try_inverse_mut()?"] pub fn try_inverse(self) -> Option<Transform<N, D, C>>`[src]

Attempts to invert this transformation. You may use .inverse instead of this transformation has a subcategory of TProjective (i.e. if it is a Projective{2,3} or Affine{2,3}).

Examples


let m = Matrix3::new(2.0, 2.0, -0.3,
                     3.0, 4.0, 0.1,
                     0.0, 0.0, 1.0);
let t = Transform2::from_matrix_unchecked(m);
let inv_t = t.try_inverse().unwrap();
assert_relative_eq!(t * inv_t, Transform2::identity());
assert_relative_eq!(inv_t * t, Transform2::identity());

// Non-invertible case.
let m = Matrix3::new(0.0, 2.0, 1.0,
                     3.0, 0.0, 5.0,
                     0.0, 0.0, 0.0);
let t = Transform2::from_matrix_unchecked(m);
assert!(t.try_inverse().is_none());

`#[must_use = "Did you mean to use inverse_mut()?"] pub fn inverse(self) -> Transform<N, D, C> where C: SubTCategoryOf<TProjective>,` [src]

Inverts this transformation. Use .try_inverse if this transform has the TGeneral category (i.e., a Transform{2,3} may not be invertible).

Examples


let m = Matrix3::new(2.0, 2.0, -0.3,
                     3.0, 4.0, 0.1,
                     0.0, 0.0, 1.0);
let proj = Projective2::from_matrix_unchecked(m);
let inv_t = proj.inverse();
assert_relative_eq!(proj * inv_t, Projective2::identity());
assert_relative_eq!(inv_t * proj, Projective2::identity());

`pub fn try_inverse_mut(&mut self) -> bool`[src]

Attempts to invert this transformation in-place. You may use .inverse_mut instead of this transformation has a subcategory of TProjective.

Examples


let m = Matrix3::new(2.0, 2.0, -0.3,
                     3.0, 4.0, 0.1,
                     0.0, 0.0, 1.0);
let t = Transform2::from_matrix_unchecked(m);
let mut inv_t = t;
assert!(inv_t.try_inverse_mut());
assert_relative_eq!(t * inv_t, Transform2::identity());
assert_relative_eq!(inv_t * t, Transform2::identity());

// Non-invertible case.
let m = Matrix3::new(0.0, 2.0, 1.0,
                     3.0, 0.0, 5.0,
                     0.0, 0.0, 0.0);
let mut t = Transform2::from_matrix_unchecked(m);
assert!(!t.try_inverse_mut());

`pub fn inverse_mut(&mut self) where C: SubTCategoryOf<TProjective>,` [src]

Inverts this transformation in-place. Use .try_inverse_mut if this transform has the TGeneral category (it may not be invertible).

Examples


let m = Matrix3::new(2.0, 2.0, -0.3,
                     3.0, 4.0, 0.1,
                     0.0, 0.0, 1.0);
let proj = Projective2::from_matrix_unchecked(m);
let mut inv_t = proj;
inv_t.inverse_mut();
assert_relative_eq!(proj * inv_t, Projective2::identity());
assert_relative_eq!(inv_t * proj, Projective2::identity());

`impl<N, D, C> Transform<N, D, C> where C: TCategory, D: DimNameAdd<U1>, N: RealField, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, U1>, DefaultAllocator: Allocator<N, D, D>, DefaultAllocator: Allocator<N, D, U1>,` [src]

`pub fn transform_point(&self, pt: &Point<N, D>) -> Point<N, D>`[src]

Transform the given point by this transformation.

This is the same as the multiplication self * pt.

`pub 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>`[src]

Transform the given vector by this transformation, ignoring the translational component of the transformation.

This is the same as the multiplication self * v.

`impl<N, D, C> Transform<N, D, C> where C: TCategory + SubTCategoryOf<TProjective>, D: DimNameAdd<U1>, N: RealField, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, U1>, DefaultAllocator: Allocator<N, D, D>, DefaultAllocator: Allocator<N, D, U1>,` [src]

`pub fn inverse_transform_point(&self, pt: &Point<N, D>) -> Point<N, D>`[src]

Transform the given point by the inverse of this transformation. This may be cheaper than inverting the transformation and transforming the point.

`pub 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>`[src]

Transform the given vector by the inverse of this transformation. This may be cheaper than inverting the transformation and transforming the vector.

`impl<N, D> Transform<N, D, TGeneral> where D: DimNameAdd<U1>, N: RealField, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,` [src]

`pub fn matrix_mut( &mut self ) -> &mut 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>`[src]

A mutable reference to underlying matrix. Use .matrix_mut_unchecked instead if this transformation category is not TGeneral.

`impl<N, D, C> Transform<N, D, C> where C: TCategory, D: DimNameAdd<U1>, N: RealField, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,` [src]

`pub fn identity() -> Transform<N, D, C>`[src]

Creates a new identity transform.

Example


let pt = Point2::new(1.0, 2.0);
let t = Projective2::identity();
assert_eq!(t * pt, pt);

let aff = Affine2::identity();
assert_eq!(aff * pt, pt);

let aff = Transform2::identity();
assert_eq!(aff * pt, pt);

// Also works in 3D.
let pt = Point3::new(1.0, 2.0, 3.0);
let t = Projective3::identity();
assert_eq!(t * pt, pt);

let aff = Affine3::identity();
assert_eq!(aff * pt, pt);

let aff = Transform3::identity();
assert_eq!(aff * pt, pt);

Trait Implementations

`impl<N, D, C> AbsDiffEq<Transform<N, D, C>> for Transform<N, D, C> where C: TCategory, D: DimNameAdd<U1>, N: RealField, <N as AbsDiffEq<N>>::Epsilon: Copy, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,` [src]

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

Used for specifying relative comparisons.

`pub fn default_epsilon( ) -> <Transform<N, D, C> as AbsDiffEq<Transform<N, D, C>>>::Epsilon`[src]

`pub fn abs_diff_eq( &self, other: &Transform<N, D, C>, epsilon: <Transform<N, D, C> as AbsDiffEq<Transform<N, D, C>>>::Epsilon ) -> bool`[src]

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

`impl<N, D, C> Clone for Transform<N, D, C> where C: TCategory, D: DimNameAdd<U1>, N: RealField, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,` [src]

`pub fn clone(&self) -> Transform<N, D, C>`[src]

`pub fn clone_from(&mut self, source: &Self)`1.0.0 [src]

`impl<N, D, C> Debug for Transform<N, D, C> where C: Debug + TCategory, D: Debug + DimNameAdd<U1>, N: Debug + RealField, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,` [src]

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

`impl<'a, N, D, C> Deserialize<'a> for Transform<N, D, C> where C: TCategory, D: DimNameAdd<U1>, N: RealField, DefaultAllocator: Allocator<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: Deserialize<'a>,` [src]

`pub fn deserialize<Des>( deserializer: Des ) -> Result<Transform<N, D, C>, <Des as Deserializer<'a>>::Error> where Des: Deserializer<'a>,` [src]

`impl<'b, N, D, C> Div<&'b Rotation<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, D>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, D>,` [src]

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

The resulting type after applying the / operator.

`pub fn div( self, rhs: &'b Rotation<N, D> ) -> <Transform<N, D, C> as Div<&'b Rotation<N, D>>>::Output`[src]

`impl<'a, 'b, N, D, C> Div<&'b Rotation<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, D>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, D>,` [src]

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

The resulting type after applying the / operator.

`pub fn div( self, rhs: &'b Rotation<N, D> ) -> <&'a Transform<N, D, C> as Div<&'b Rotation<N, D>>>::Output`[src]

`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>,` [src]

`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`[src]

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

`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> ) -> <Rotation<N, D> as Div<&'b Transform<N, D, C>>>::Output`[src]

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

`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 Rotation<N, D> as Div<&'b Transform<N, D, C>>>::Output`[src]

`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>,` [src]

`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`[src]

impl<'a, 'b, N, D, CA, CB> Div<&'b Transform<N, D, CB>> for &'a Transform<N, D, CA> where D: DimNameAdd<U1>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, CA: TCategoryMul<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, [src]

`type Output = Transform<N, D, <CA as TCategoryMul<CB>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: &'b Transform<N, D, CB> ) -> <&'a Transform<N, D, CA> as Div<&'b Transform<N, D, CB>>>::Output`[src]

impl<'b, N, D, CA, CB> Div<&'b Transform<N, D, CB>> for Transform<N, D, CA> where D: DimNameAdd<U1>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, CA: TCategoryMul<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, [src]

`type Output = Transform<N, D, <CA as TCategoryMul<CB>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: &'b Transform<N, D, CB> ) -> <Transform<N, D, CA> as Div<&'b Transform<N, D, CB>>>::Output`[src]

`impl<'a, 'b, N, C> Div<&'b Transform<N, U3, C>> for &'a Unit<Quaternion<N>> where C: TCategoryMul<TAffine>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, DefaultAllocator: Allocator<N, U4, U1>, DefaultAllocator: Allocator<N, U4, U4>, DefaultAllocator: Allocator<N, U4, U4>,` [src]

`type Output = Transform<N, U3, <C as TCategoryMul<TAffine>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: &'b Transform<N, U3, C> ) -> <&'a Unit<Quaternion<N>> as Div<&'b Transform<N, U3, C>>>::Output`[src]

`impl<'b, N, C> Div<&'b Transform<N, U3, C>> for Unit<Quaternion<N>> where C: TCategoryMul<TAffine>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, DefaultAllocator: Allocator<N, U4, U1>, DefaultAllocator: Allocator<N, U4, U4>, DefaultAllocator: Allocator<N, U4, U4>,` [src]

`type Output = Transform<N, U3, <C as TCategoryMul<TAffine>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: &'b Transform<N, U3, C> ) -> <Unit<Quaternion<N>> as Div<&'b Transform<N, U3, C>>>::Output`[src]

`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>,` [src]

`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`[src]

`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>,` [src]

`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`[src]

`impl<'b, N, C> Div<&'b Unit<Quaternion<N>>> for Transform<N, U3, C> where C: TCategoryMul<TAffine>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, DefaultAllocator: Allocator<N, U4, U4>, DefaultAllocator: Allocator<N, U4, U1>, DefaultAllocator: Allocator<N, U4, U1>,` [src]

`type Output = Transform<N, U3, <C as TCategoryMul<TAffine>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: &'b Unit<Quaternion<N>> ) -> <Transform<N, U3, C> as Div<&'b Unit<Quaternion<N>>>>::Output`[src]

`impl<'a, 'b, N, C> Div<&'b Unit<Quaternion<N>>> for &'a Transform<N, U3, C> where C: TCategoryMul<TAffine>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, DefaultAllocator: Allocator<N, U4, U4>, DefaultAllocator: Allocator<N, U4, U1>, DefaultAllocator: Allocator<N, U4, U1>,` [src]

`type Output = Transform<N, U3, <C as TCategoryMul<TAffine>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: &'b Unit<Quaternion<N>> ) -> <&'a Transform<N, U3, C> as Div<&'b Unit<Quaternion<N>>>>::Output`[src]

`impl<N, D, C> Div<Rotation<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, D>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, D>,` [src]

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

The resulting type after applying the / operator.

`pub fn div( self, rhs: Rotation<N, D> ) -> <Transform<N, D, C> as Div<Rotation<N, D>>>::Output`[src]

`impl<'a, N, D, C> Div<Rotation<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, D>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, D>,` [src]

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

The resulting type after applying the / operator.

`pub fn div( self, rhs: Rotation<N, D> ) -> <&'a Transform<N, D, C> as Div<Rotation<N, D>>>::Output`[src]

`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>,` [src]

`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`[src]

`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>,` [src]

`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`[src]

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

`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 Rotation<N, D> as Div<Transform<N, D, C>>>::Output`[src]

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

`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> ) -> <Rotation<N, D> as Div<Transform<N, D, C>>>::Output`[src]

impl<N, D, CA, CB> Div<Transform<N, D, CB>> for Transform<N, D, CA> where D: DimNameAdd<U1>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, CA: TCategoryMul<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, [src]

`type Output = Transform<N, D, <CA as TCategoryMul<CB>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: Transform<N, D, CB> ) -> <Transform<N, D, CA> as Div<Transform<N, D, CB>>>::Output`[src]

impl<'a, N, D, CA, CB> Div<Transform<N, D, CB>> for &'a Transform<N, D, CA> where D: DimNameAdd<U1>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, CA: TCategoryMul<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, [src]

`type Output = Transform<N, D, <CA as TCategoryMul<CB>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: Transform<N, D, CB> ) -> <&'a Transform<N, D, CA> as Div<Transform<N, D, CB>>>::Output`[src]

`impl<'a, N, C> Div<Transform<N, U3, C>> for &'a Unit<Quaternion<N>> where C: TCategoryMul<TAffine>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, DefaultAllocator: Allocator<N, U4, U1>, DefaultAllocator: Allocator<N, U4, U4>, DefaultAllocator: Allocator<N, U4, U4>,` [src]

`type Output = Transform<N, U3, <C as TCategoryMul<TAffine>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: Transform<N, U3, C> ) -> <&'a Unit<Quaternion<N>> as Div<Transform<N, U3, C>>>::Output`[src]

`impl<N, C> Div<Transform<N, U3, C>> for Unit<Quaternion<N>> where C: TCategoryMul<TAffine>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, DefaultAllocator: Allocator<N, U4, U1>, DefaultAllocator: Allocator<N, U4, U4>, DefaultAllocator: Allocator<N, U4, U4>,` [src]

`type Output = Transform<N, U3, <C as TCategoryMul<TAffine>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: Transform<N, U3, C> ) -> <Unit<Quaternion<N>> as Div<Transform<N, U3, C>>>::Output`[src]

`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>,` [src]

`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`[src]

`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>,` [src]

`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`[src]

`impl<N, C> Div<Unit<Quaternion<N>>> for Transform<N, U3, C> where C: TCategoryMul<TAffine>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, DefaultAllocator: Allocator<N, U4, U4>, DefaultAllocator: Allocator<N, U4, U1>, DefaultAllocator: Allocator<N, U4, U1>,` [src]

`type Output = Transform<N, U3, <C as TCategoryMul<TAffine>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: Unit<Quaternion<N>> ) -> <Transform<N, U3, C> as Div<Unit<Quaternion<N>>>>::Output`[src]

`impl<'a, N, C> Div<Unit<Quaternion<N>>> for &'a Transform<N, U3, C> where C: TCategoryMul<TAffine>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, DefaultAllocator: Allocator<N, U4, U4>, DefaultAllocator: Allocator<N, U4, U1>, DefaultAllocator: Allocator<N, U4, U1>,` [src]

`type Output = Transform<N, U3, <C as TCategoryMul<TAffine>>::Representative>`

The resulting type after applying the / operator.

`pub fn div( self, rhs: Unit<Quaternion<N>> ) -> <&'a Transform<N, U3, C> as Div<Unit<Quaternion<N>>>>::Output`[src]

`impl<'b, N, D, C> DivAssign<&'b Rotation<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, D>,` [src]

`pub fn div_assign(&mut self, rhs: &'b Rotation<N, D>)`[src]

`impl<'b, N, D, CA, CB> DivAssign<&'b Transform<N, D, CB>> for Transform<N, D, CA> where D: DimNameAdd<U1>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, CA: SuperTCategoryOf<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,` [src]

`pub fn div_assign(&mut self, rhs: &'b Transform<N, D, CB>)`[src]

`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>,` [src]

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

`impl<'b, N, C> DivAssign<&'b Unit<Quaternion<N>>> for Transform<N, U3, C> where C: TCategory, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, DefaultAllocator: Allocator<N, U4, U4>, DefaultAllocator: Allocator<N, U4, U1>,` [src]

`pub fn div_assign(&mut self, rhs: &'b Unit<Quaternion<N>>)`[src]

`impl<N, D, C> DivAssign<Rotation<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, D>,` [src]

`pub fn div_assign(&mut self, rhs: Rotation<N, D>)`[src]

`impl<N, D, CA, CB> DivAssign<Transform<N, D, CB>> for Transform<N, D, CA> where D: DimNameAdd<U1>, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, CA: SuperTCategoryOf<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,` [src]

`pub fn div_assign(&mut self, rhs: Transform<N, D, CB>)`[src]

`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>,` [src]

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

`impl<N, C> DivAssign<Unit<Quaternion<N>>> for Transform<N, U3, C> where C: TCategory, N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + RealField, DefaultAllocator: Allocator<N, U4, U4>, DefaultAllocator: Allocator<N, U4, U1>,` [src]

`pub fn div_assign(&mut self, rhs: Unit<Quaternion<N>>)`[src]

`impl<N, D, C> From<Transform<N, D, C>> 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 C: TCategory, D: DimName + DimNameAdd<U1>, N: RealField, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,` [src]

`pub fn from( t: Transform<N, D, C> ) -> 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>`[src]

`impl<N, D, C> Index<(usize, usize)> for Transform<N, D, C> where C: TCategory, D: DimName + DimNameAdd<U1>, N: RealField, DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>,` [src]

`type Output = N`

The returned type after indexing.

`pub fn index(&self, ij: (usize, usize)) -> &N`[src]