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

#[repr(C)]
pub struct Transform<T: RealField, C: TCategory, const D: usize> where
    Const<D>: DimNameAdd<U1>,
    DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,  { /* fields omitted */ }

Expand description

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<T: RealField, C: TCategory, const D: usize> Transform<T, C, D> where Const<D>: DimNameAdd<U1>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`pub fn from_matrix_unchecked( matrix: OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> ) -> Self`[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 ) -> OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>`[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 ) -> OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>`[src]

👎 Deprecated:

use .into_inner() instead

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

`pub fn matrix( &self ) -> &OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>`[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 OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>`[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: SuperTCategoryOf<C>>(self) -> Transform<T, CNew, D>`[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<T, C, D>`[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 ) -> OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>`[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<T, C, D>>`[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<T, C, D> 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<T, C, const D: usize> Transform<T, C, D> where T: RealField, C: TCategory, Const<D>: DimNameAdd<U1>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> + Allocator<T, DimNameSum<Const<D>, U1>>,` [src]

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

Transform the given point by this transformation.

This is the same as the multiplication self * pt.

`pub fn transform_vector(&self, v: &SVector<T, D>) -> SVector<T, D>`[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<T: RealField, C: TCategory, const D: usize> Transform<T, C, D> where Const<D>: DimNameAdd<U1>, C: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> + Allocator<T, DimNameSum<Const<D>, U1>>,` [src]

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

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

`impl<T: RealField, const D: usize> Transform<T, TGeneral, D> where Const<D>: DimNameAdd<U1>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`pub fn matrix_mut( &mut self ) -> &mut OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>`[src]

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

`impl<T: RealField, C: TCategory, const D: usize> Transform<T, C, D> where Const<D>: DimNameAdd<U1>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`pub fn identity() -> Self`[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<T: RealField, C: TCategory, const D: usize> AbsDiffEq<Transform<T, C, D>> for Transform<T, C, D> where Const<D>: DimNameAdd<U1>, T::Epsilon: Copy, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`type Epsilon = T::Epsilon`

Used for specifying relative comparisons.

`fn default_epsilon() -> Self::Epsilon`[src]

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

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

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

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

The inverse of AbsDiffEq::abs_diff_eq.

`impl<T: RealField, C: TCategory, const D: usize> Clone for Transform<T, C, D> where Const<D>: DimNameAdd<U1>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`fn clone(&self) -> Self`[src]

Returns a copy of the value. Read more

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

Performs copy-assignment from source. Read more

`impl<T: Debug + RealField, C: Debug + TCategory, const D: usize> Debug for Transform<T, C, D> where Const<D>: DimNameAdd<U1>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

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

Formats the value using the given formatter. Read more

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

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

The resulting type after applying the / operator.

`fn div(self, rhs: &'b Rotation<T, D>) -> Self::Output`[src]

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

`fn div(self, rhs: &'b Rotation<T, D>) -> Self::Output`[src]

Performs the / operation. Read more

`impl<'b, T, C> Div<&'b Transform<T, C, 3_usize>> for UnitQuaternion<T> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, C: TCategoryMul<TAffine>,` [src]

`type Output = Transform<T, C::Representative, 3>`

The resulting type after applying the / operator.

`fn div(self, rhs: &'b Transform<T, C, 3>) -> Self::Output`[src]

Performs the / operation. Read more

`impl<'a, 'b, T, C> Div<&'b Transform<T, C, 3_usize>> for &'a UnitQuaternion<T> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, C: TCategoryMul<TAffine>,` [src]

`type Output = Transform<T, C::Representative, 3>`

The resulting type after applying the / operator.

`fn div(self, rhs: &'b Transform<T, C, 3>) -> Self::Output`[src]

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

`impl<'b, T, CA, CB, const D: usize> Div<&'b Transform<T, CB, D>> for Transform<T, CA, D> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, Const<D>: DimNameAdd<U1>, CA: TCategoryMul<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`type Output = Transform<T, CA::Representative, D>`

The resulting type after applying the / operator.

`fn div(self, rhs: &'b Transform<T, CB, D>) -> Self::Output`[src]

Performs the / operation. Read more

`impl<'a, 'b, T, CA, CB, const D: usize> Div<&'b Transform<T, CB, D>> for &'a Transform<T, CA, D> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, Const<D>: DimNameAdd<U1>, CA: TCategoryMul<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`type Output = Transform<T, CA::Representative, D>`

The resulting type after applying the / operator.

`fn div(self, rhs: &'b Transform<T, CB, D>) -> Self::Output`[src]

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

`impl<'b, T, C> Div<&'b Unit<Quaternion<T>>> for Transform<T, C, 3> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, C: TCategoryMul<TAffine>,` [src]

`type Output = Transform<T, C::Representative, 3>`

The resulting type after applying the / operator.

`fn div(self, rhs: &'b UnitQuaternion<T>) -> Self::Output`[src]

Performs the / operation. Read more

`impl<'a, 'b, T, C> Div<&'b Unit<Quaternion<T>>> for &'a Transform<T, C, 3> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, C: TCategoryMul<TAffine>,` [src]

`type Output = Transform<T, C::Representative, 3>`

The resulting type after applying the / operator.

`fn div(self, rhs: &'b UnitQuaternion<T>) -> Self::Output`[src]

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

`fn div(self, rhs: Rotation<T, D>) -> Self::Output`[src]

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

`fn div(self, rhs: Rotation<T, D>) -> Self::Output`[src]

Performs the / operation. Read more

`impl<T, C> Div<Transform<T, C, 3_usize>> for UnitQuaternion<T> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, C: TCategoryMul<TAffine>,` [src]

`type Output = Transform<T, C::Representative, 3>`

The resulting type after applying the / operator.

`fn div(self, rhs: Transform<T, C, 3>) -> Self::Output`[src]

Performs the / operation. Read more

`impl<'a, T, C> Div<Transform<T, C, 3_usize>> for &'a UnitQuaternion<T> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, C: TCategoryMul<TAffine>,` [src]

`type Output = Transform<T, C::Representative, 3>`

The resulting type after applying the / operator.

`fn div(self, rhs: Transform<T, C, 3>) -> Self::Output`[src]

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

`impl<T, CA, CB, const D: usize> Div<Transform<T, CB, D>> for Transform<T, CA, D> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, Const<D>: DimNameAdd<U1>, CA: TCategoryMul<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`type Output = Transform<T, CA::Representative, D>`

The resulting type after applying the / operator.

`fn div(self, rhs: Transform<T, CB, D>) -> Self::Output`[src]

Performs the / operation. Read more

`impl<'a, T, CA, CB, const D: usize> Div<Transform<T, CB, D>> for &'a Transform<T, CA, D> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, Const<D>: DimNameAdd<U1>, CA: TCategoryMul<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`type Output = Transform<T, CA::Representative, D>`

The resulting type after applying the / operator.

`fn div(self, rhs: Transform<T, CB, D>) -> Self::Output`[src]

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

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

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

The resulting type after applying the / operator.

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

Performs the / operation. Read more

`impl<T, C> Div<Unit<Quaternion<T>>> for Transform<T, C, 3> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, C: TCategoryMul<TAffine>,` [src]

`type Output = Transform<T, C::Representative, 3>`

The resulting type after applying the / operator.

`fn div(self, rhs: UnitQuaternion<T>) -> Self::Output`[src]

Performs the / operation. Read more

`impl<'a, T, C> Div<Unit<Quaternion<T>>> for &'a Transform<T, C, 3> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, C: TCategoryMul<TAffine>,` [src]

`type Output = Transform<T, C::Representative, 3>`

The resulting type after applying the / operator.

`fn div(self, rhs: UnitQuaternion<T>) -> Self::Output`[src]

Performs the / operation. Read more

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

`fn div_assign(&mut self, rhs: &'b Rotation<T, D>)`[src]

Performs the /= operation. Read more

`impl<'b, T, CA, CB, const D: usize> DivAssign<&'b Transform<T, CB, D>> for Transform<T, CA, D> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, Const<D>: DimNameAdd<U1>, CA: SuperTCategoryOf<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`fn div_assign(&mut self, rhs: &'b Transform<T, CB, D>)`[src]

Performs the /= operation. Read more

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

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

Performs the /= operation. Read more

`impl<'b, T, C> DivAssign<&'b Unit<Quaternion<T>>> for Transform<T, C, 3> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, C: TCategory,` [src]

`fn div_assign(&mut self, rhs: &'b UnitQuaternion<T>)`[src]

Performs the /= operation. Read more

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

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

Performs the /= operation. Read more

`impl<T, CA, CB, const D: usize> DivAssign<Transform<T, CB, D>> for Transform<T, CA, D> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, Const<D>: DimNameAdd<U1>, CA: SuperTCategoryOf<CB>, CB: SubTCategoryOf<TProjective>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

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

Performs the /= operation. Read more

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

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

Performs the /= operation. Read more

`impl<T, C> DivAssign<Unit<Quaternion<T>>> for Transform<T, C, 3> where T: Scalar + Zero + One + ClosedAdd + ClosedMul + RealField, C: TCategory,` [src]

`fn div_assign(&mut self, rhs: UnitQuaternion<T>)`[src]

Performs the /= operation. Read more

`impl<T: RealField, C, const D: usize> From<Transform<T, C, D>> for OMatrix<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>> where Const<D>: DimNameAdd<U1>, C: TCategory, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

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

Performs the conversion.

`impl<T: RealField, C: TCategory, const D: usize> Index<(usize, usize)> for Transform<T, C, D> where Const<D>: DimNameAdd<U1>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`type Output = T`

The returned type after indexing.

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

Performs the indexing (container[index]) operation. Read more

`impl<T: RealField, const D: usize> IndexMut<(usize, usize)> for Transform<T, TGeneral, D> where Const<D>: DimNameAdd<U1>, DefaultAllocator: Allocator<T, DimNameSum<Const<D>, U1>, DimNameSum<Const<D>, U1>>,` [src]

`fn index_mut(&mut self, ij: (usize, usize)) -> &mut T`[src]

Performs the mutable indexing (container[index]) operation. Read more