#[repr(C)]pub struct Rotation<T, const D: usize> { /* private fields */ }
Expand description
A rotation matrix.
This is also known as an element of a Special Orthogonal (SO) group.
The Rotation
type can either represent a 2D or 3D rotation, represented as a matrix.
For a rotation based on quaternions, see UnitQuaternion
instead.
Note that instead of using the Rotation
type in your code directly, you should use one
of its aliases: Rotation2
, or Rotation3
. Though
keep in mind that all the documentation of all the methods of these aliases will also appears on
this page.
Construction
- Identity
identity
- From a 2D rotation angle
new
… - From an existing 2D matrix or rotations
from_matrix
,rotation_between
,powf
… - From a 3D axis and/or angles
new
,from_euler_angles
,from_axis_angle
… - From a 3D eye position and target point
look_at
,look_at_lh
,rotation_between
… - From an existing 3D matrix or rotations
from_matrix
,rotation_between
,powf
…
Transformation and composition
Note that transforming vectors and points can be done by multiplication, e.g., rotation * point
.
Composing an rotation with another transformation can also be done by multiplication or division.
- 3D axis and angle extraction
angle
,euler_angles
,scaled_axis
,angle_to
… - 2D angle extraction
angle
,angle_to
… - Transformation of a vector or a point
transform_vector
,inverse_transform_point
… - Transposition and inversion
transpose
,inverse
… - Interpolation
slerp
…
Conversion
Implementations
sourceimpl<T, const D: usize> Rotation<T, D>
impl<T, const D: usize> Rotation<T, D>
sourcepub const fn from_matrix_unchecked(
matrix: Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
) -> Rotation<T, D>
pub const fn from_matrix_unchecked(
matrix: Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
) -> Rotation<T, D>
Creates a new rotation from the given square matrix.
The matrix orthonormality is not checked.
Example
let mat = Matrix3::new(0.8660254, -0.5, 0.0,
0.5, 0.8660254, 0.0,
0.0, 0.0, 1.0);
let rot = Rotation3::from_matrix_unchecked(mat);
assert_eq!(*rot.matrix(), mat);
let mat = Matrix2::new(0.8660254, -0.5,
0.5, 0.8660254);
let rot = Rotation2::from_matrix_unchecked(mat);
assert_eq!(*rot.matrix(), mat);
sourceimpl<T, const D: usize> Rotation<T, D> where
T: Scalar,
impl<T, const D: usize> Rotation<T, D> where
T: Scalar,
sourcepub fn matrix(&self) -> &Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
pub fn matrix(&self) -> &Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
A reference to the underlying matrix representation of this rotation.
Example
let rot = Rotation3::from_axis_angle(&Vector3::z_axis(), f32::consts::FRAC_PI_6);
let expected = Matrix3::new(0.8660254, -0.5, 0.0,
0.5, 0.8660254, 0.0,
0.0, 0.0, 1.0);
assert_eq!(*rot.matrix(), expected);
let rot = Rotation2::new(f32::consts::FRAC_PI_6);
let expected = Matrix2::new(0.8660254, -0.5,
0.5, 0.8660254);
assert_eq!(*rot.matrix(), expected);
sourcepub unsafe fn matrix_mut(
&mut self
) -> &mut Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
👎 Deprecated: Use .matrix_mut_unchecked()
instead.
pub unsafe fn matrix_mut(
&mut self
) -> &mut Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
Use .matrix_mut_unchecked()
instead.
A mutable reference to the underlying matrix representation of this rotation.
sourcepub fn matrix_mut_unchecked(
&mut self
) -> &mut Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
pub fn matrix_mut_unchecked(
&mut self
) -> &mut Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
A mutable reference to the underlying matrix representation of this rotation.
This is suffixed by “_unchecked” because this allows the user to replace the matrix by another one that is non-inversible or non-orthonormal. If one of those properties is broken, subsequent method calls may return bogus results.
sourcepub fn into_inner(self) -> Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
pub fn into_inner(self) -> Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
Unwraps the underlying matrix.
Example
let rot = Rotation3::from_axis_angle(&Vector3::z_axis(), f32::consts::FRAC_PI_6);
let mat = rot.into_inner();
let expected = Matrix3::new(0.8660254, -0.5, 0.0,
0.5, 0.8660254, 0.0,
0.0, 0.0, 1.0);
assert_eq!(mat, expected);
let rot = Rotation2::new(f32::consts::FRAC_PI_6);
let mat = rot.into_inner();
let expected = Matrix2::new(0.8660254, -0.5,
0.5, 0.8660254);
assert_eq!(mat, expected);
sourcepub fn unwrap(self) -> Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
👎 Deprecated: use .into_inner()
instead
pub fn unwrap(self) -> Matrix<T, Const<D>, Const<D>, ArrayStorage<T, D, D>>
use .into_inner()
instead
Unwraps the underlying matrix.
Deprecated: Use Rotation::into_inner
instead.
sourcepub fn to_homogeneous(
&self
) -> Matrix<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer> where
T: Zero + One,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
pub fn to_homogeneous(
&self
) -> Matrix<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer> where
T: Zero + One,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
Converts this rotation into its equivalent homogeneous transformation matrix.
This is the same as self.into()
.
Example
let rot = Rotation3::from_axis_angle(&Vector3::z_axis(), f32::consts::FRAC_PI_6);
let expected = Matrix4::new(0.8660254, -0.5, 0.0, 0.0,
0.5, 0.8660254, 0.0, 0.0,
0.0, 0.0, 1.0, 0.0,
0.0, 0.0, 0.0, 1.0);
assert_eq!(rot.to_homogeneous(), expected);
let rot = Rotation2::new(f32::consts::FRAC_PI_6);
let expected = Matrix3::new(0.8660254, -0.5, 0.0,
0.5, 0.8660254, 0.0,
0.0, 0.0, 1.0);
assert_eq!(rot.to_homogeneous(), expected);
sourceimpl<T, const D: usize> Rotation<T, D> where
T: Scalar,
impl<T, const D: usize> Rotation<T, D> where
T: Scalar,
sourcepub fn transpose(&self) -> Rotation<T, D>
pub fn transpose(&self) -> Rotation<T, D>
Transposes self
.
Same as .inverse()
because the inverse of a rotation matrix is its transform.
Example
let rot = Rotation3::new(Vector3::new(1.0, 2.0, 3.0));
let tr_rot = rot.transpose();
assert_relative_eq!(rot * tr_rot, Rotation3::identity(), epsilon = 1.0e-6);
assert_relative_eq!(tr_rot * rot, Rotation3::identity(), epsilon = 1.0e-6);
let rot = Rotation2::new(1.2);
let tr_rot = rot.transpose();
assert_relative_eq!(rot * tr_rot, Rotation2::identity(), epsilon = 1.0e-6);
assert_relative_eq!(tr_rot * rot, Rotation2::identity(), epsilon = 1.0e-6);
sourcepub fn inverse(&self) -> Rotation<T, D>
pub fn inverse(&self) -> Rotation<T, D>
Inverts self
.
Same as .transpose()
because the inverse of a rotation matrix is its transform.
Example
let rot = Rotation3::new(Vector3::new(1.0, 2.0, 3.0));
let inv = rot.inverse();
assert_relative_eq!(rot * inv, Rotation3::identity(), epsilon = 1.0e-6);
assert_relative_eq!(inv * rot, Rotation3::identity(), epsilon = 1.0e-6);
let rot = Rotation2::new(1.2);
let inv = rot.inverse();
assert_relative_eq!(rot * inv, Rotation2::identity(), epsilon = 1.0e-6);
assert_relative_eq!(inv * rot, Rotation2::identity(), epsilon = 1.0e-6);
sourcepub fn transpose_mut(&mut self)
pub fn transpose_mut(&mut self)
Transposes self
in-place.
Same as .inverse_mut()
because the inverse of a rotation matrix is its transform.
Example
let rot = Rotation3::new(Vector3::new(1.0, 2.0, 3.0));
let mut tr_rot = Rotation3::new(Vector3::new(1.0, 2.0, 3.0));
tr_rot.transpose_mut();
assert_relative_eq!(rot * tr_rot, Rotation3::identity(), epsilon = 1.0e-6);
assert_relative_eq!(tr_rot * rot, Rotation3::identity(), epsilon = 1.0e-6);
let rot = Rotation2::new(1.2);
let mut tr_rot = Rotation2::new(1.2);
tr_rot.transpose_mut();
assert_relative_eq!(rot * tr_rot, Rotation2::identity(), epsilon = 1.0e-6);
assert_relative_eq!(tr_rot * rot, Rotation2::identity(), epsilon = 1.0e-6);
sourcepub fn inverse_mut(&mut self)
pub fn inverse_mut(&mut self)
Inverts self
in-place.
Same as .transpose_mut()
because the inverse of a rotation matrix is its transform.
Example
let rot = Rotation3::new(Vector3::new(1.0, 2.0, 3.0));
let mut inv = Rotation3::new(Vector3::new(1.0, 2.0, 3.0));
inv.inverse_mut();
assert_relative_eq!(rot * inv, Rotation3::identity(), epsilon = 1.0e-6);
assert_relative_eq!(inv * rot, Rotation3::identity(), epsilon = 1.0e-6);
let rot = Rotation2::new(1.2);
let mut inv = Rotation2::new(1.2);
inv.inverse_mut();
assert_relative_eq!(rot * inv, Rotation2::identity(), epsilon = 1.0e-6);
assert_relative_eq!(inv * rot, Rotation2::identity(), epsilon = 1.0e-6);
sourceimpl<T, const D: usize> Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn transform_point(&self, pt: &OPoint<T, Const<D>>) -> OPoint<T, Const<D>>
pub fn transform_point(&self, pt: &OPoint<T, Const<D>>) -> OPoint<T, Const<D>>
Rotate the given point.
This is the same as the multiplication self * pt
.
Example
let rot = Rotation3::new(Vector3::y() * f32::consts::FRAC_PI_2);
let transformed_point = rot.transform_point(&Point3::new(1.0, 2.0, 3.0));
assert_relative_eq!(transformed_point, Point3::new(3.0, 2.0, -1.0), epsilon = 1.0e-6);
sourcepub fn transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
) -> Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
pub fn transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
) -> Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
Rotate the given vector.
This is the same as the multiplication self * v
.
Example
let rot = Rotation3::new(Vector3::y() * f32::consts::FRAC_PI_2);
let transformed_vector = rot.transform_vector(&Vector3::new(1.0, 2.0, 3.0));
assert_relative_eq!(transformed_vector, Vector3::new(3.0, 2.0, -1.0), epsilon = 1.0e-6);
sourcepub fn inverse_transform_point(
&self,
pt: &OPoint<T, Const<D>>
) -> OPoint<T, Const<D>>
pub fn inverse_transform_point(
&self,
pt: &OPoint<T, Const<D>>
) -> OPoint<T, Const<D>>
Rotate the given point by the inverse of this rotation. This may be cheaper than inverting the rotation and then transforming the given point.
Example
let rot = Rotation3::new(Vector3::y() * f32::consts::FRAC_PI_2);
let transformed_point = rot.inverse_transform_point(&Point3::new(1.0, 2.0, 3.0));
assert_relative_eq!(transformed_point, Point3::new(-3.0, 2.0, 1.0), epsilon = 1.0e-6);
sourcepub fn inverse_transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
) -> Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
pub fn inverse_transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
) -> Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
Rotate the given vector by the inverse of this rotation. This may be cheaper than inverting the rotation and then transforming the given vector.
Example
let rot = Rotation3::new(Vector3::y() * f32::consts::FRAC_PI_2);
let transformed_vector = rot.inverse_transform_vector(&Vector3::new(1.0, 2.0, 3.0));
assert_relative_eq!(transformed_vector, Vector3::new(-3.0, 2.0, 1.0), epsilon = 1.0e-6);
sourcepub fn inverse_transform_unit_vector(
&self,
v: &Unit<Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>>
) -> Unit<Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>>
pub fn inverse_transform_unit_vector(
&self,
v: &Unit<Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>>
) -> Unit<Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>>
Rotate the given vector by the inverse of this rotation. This may be cheaper than inverting the rotation and then transforming the given vector.
Example
let rot = Rotation3::new(Vector3::z() * f32::consts::FRAC_PI_2);
let transformed_vector = rot.inverse_transform_unit_vector(&Vector3::x_axis());
assert_relative_eq!(transformed_vector, -Vector3::y_axis(), epsilon = 1.0e-6);
sourceimpl<T, const D: usize> Rotation<T, D> where
T: Scalar + Zero + One,
impl<T, const D: usize> Rotation<T, D> where
T: Scalar + Zero + One,
sourcepub fn identity() -> Rotation<T, D>
pub fn identity() -> Rotation<T, D>
Creates a new square identity rotation of the given dimension
.
Example
let rot1 = Rotation2::identity();
let rot2 = Rotation2::new(std::f32::consts::FRAC_PI_2);
assert_eq!(rot1 * rot2, rot2);
assert_eq!(rot2 * rot1, rot2);
let rot1 = Rotation3::identity();
let rot2 = Rotation3::from_axis_angle(&Vector3::z_axis(), std::f32::consts::FRAC_PI_2);
assert_eq!(rot1 * rot2, rot2);
assert_eq!(rot2 * rot1, rot2);
sourceimpl<T> Rotation<T, 2_usize> where
T: SimdRealField,
impl<T> Rotation<T, 2_usize> where
T: SimdRealField,
sourcepub fn slerp(&self, other: &Rotation<T, 2_usize>, t: T) -> Rotation<T, 2_usize> where
<T as SimdValue>::Element: SimdRealField,
pub fn slerp(&self, other: &Rotation<T, 2_usize>, t: T) -> Rotation<T, 2_usize> where
<T as SimdValue>::Element: SimdRealField,
Spherical linear interpolation between two rotation matrices.
Examples:
let rot1 = Rotation2::new(std::f32::consts::FRAC_PI_4);
let rot2 = Rotation2::new(-std::f32::consts::PI);
let rot = rot1.slerp(&rot2, 1.0 / 3.0);
assert_relative_eq!(rot.angle(), std::f32::consts::FRAC_PI_2);
sourceimpl<T> Rotation<T, 3_usize> where
T: SimdRealField,
impl<T> Rotation<T, 3_usize> where
T: SimdRealField,
sourcepub fn slerp(&self, other: &Rotation<T, 3_usize>, t: T) -> Rotation<T, 3_usize> where
T: RealField,
pub fn slerp(&self, other: &Rotation<T, 3_usize>, t: T) -> Rotation<T, 3_usize> where
T: RealField,
Spherical linear interpolation between two rotation matrices.
Panics if the angle between both rotations is 180 degrees (in which case the interpolation
is not well-defined). Use .try_slerp
instead to avoid the panic.
Examples:
let q1 = Rotation3::from_euler_angles(std::f32::consts::FRAC_PI_4, 0.0, 0.0);
let q2 = Rotation3::from_euler_angles(-std::f32::consts::PI, 0.0, 0.0);
let q = q1.slerp(&q2, 1.0 / 3.0);
assert_eq!(q.euler_angles(), (std::f32::consts::FRAC_PI_2, 0.0, 0.0));
sourcepub fn try_slerp(
&self,
other: &Rotation<T, 3_usize>,
t: T,
epsilon: T
) -> Option<Rotation<T, 3_usize>> where
T: RealField,
pub fn try_slerp(
&self,
other: &Rotation<T, 3_usize>,
t: T,
epsilon: T
) -> Option<Rotation<T, 3_usize>> where
T: RealField,
Computes the spherical linear interpolation between two rotation matrices or returns None
if both rotations are approximately 180 degrees apart (in which case the interpolation is
not well-defined).
Arguments
self
: the first rotation to interpolate from.other
: the second rotation to interpolate toward.t
: the interpolation parameter. Should be between 0 and 1.epsilon
: the value below which the sinus of the angle separating both rotations must be to returnNone
.
sourceimpl<T> Rotation<T, 2_usize> where
T: SimdRealField,
impl<T> Rotation<T, 2_usize> where
T: SimdRealField,
sourcepub fn new(angle: T) -> Rotation<T, 2_usize>
pub fn new(angle: T) -> Rotation<T, 2_usize>
Builds a 2 dimensional rotation matrix from an angle in radian.
Example
let rot = Rotation2::new(f32::consts::FRAC_PI_2);
assert_relative_eq!(rot * Point2::new(3.0, 4.0), Point2::new(-4.0, 3.0));
sourcepub fn from_scaled_axis<SB>(
axisangle: Matrix<T, Const<1_usize>, Const<1_usize>, SB>
) -> Rotation<T, 2_usize> where
SB: Storage<T, Const<1_usize>, Const<1_usize>>,
pub fn from_scaled_axis<SB>(
axisangle: Matrix<T, Const<1_usize>, Const<1_usize>, SB>
) -> Rotation<T, 2_usize> where
SB: Storage<T, Const<1_usize>, Const<1_usize>>,
Builds a 2 dimensional rotation matrix from an angle in radian wrapped in a 1-dimensional vector.
This is generally used in the context of generic programming. Using
the ::new(angle)
method instead is more common.
sourceimpl<T> Rotation<T, 2_usize> where
T: SimdRealField,
impl<T> Rotation<T, 2_usize> where
T: SimdRealField,
sourcepub fn from_basis_unchecked(
basis: &[Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 2_usize, 1_usize>>; 2]
) -> Rotation<T, 2_usize>
pub fn from_basis_unchecked(
basis: &[Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 2_usize, 1_usize>>; 2]
) -> Rotation<T, 2_usize>
Builds a rotation from a basis assumed to be orthonormal.
In order to get a valid rotation matrix, the input must be an orthonormal basis, i.e., all vectors are normalized, and the are all orthogonal to each other. These invariants are not checked by this method.
sourcepub fn from_matrix(
m: &Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 2_usize, 2_usize>>
) -> Rotation<T, 2_usize> where
T: RealField,
pub fn from_matrix(
m: &Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 2_usize, 2_usize>>
) -> Rotation<T, 2_usize> where
T: RealField,
Builds a rotation matrix by extracting the rotation part of the given transformation m
.
This is an iterative method. See .from_matrix_eps
to provide mover
convergence parameters and starting solution.
This implements “A Robust Method to Extract the Rotational Part of Deformations” by Müller et al.
sourcepub fn from_matrix_eps(
m: &Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 2_usize, 2_usize>>,
eps: T,
max_iter: usize,
guess: Rotation<T, 2_usize>
) -> Rotation<T, 2_usize> where
T: RealField,
pub fn from_matrix_eps(
m: &Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 2_usize, 2_usize>>,
eps: T,
max_iter: usize,
guess: Rotation<T, 2_usize>
) -> Rotation<T, 2_usize> where
T: RealField,
Builds a rotation matrix by extracting the rotation part of the given transformation m
.
This implements “A Robust Method to Extract the Rotational Part of Deformations” by Müller et al.
Parameters
m
: the matrix from which the rotational part is to be extracted.eps
: the angular errors tolerated between the current rotation and the optimal one.max_iter
: the maximum number of iterations. Loops indefinitely until convergence if set to0
.guess
: an estimate of the solution. Convergence will be significantly faster if an initial solution close to the actual solution is provided. Can be set toRotation2::identity()
if no other guesses come to mind.
sourcepub fn rotation_between<SB, SC>(
a: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
b: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Rotation<T, 2_usize> where
T: RealField,
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
pub fn rotation_between<SB, SC>(
a: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
b: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Rotation<T, 2_usize> where
T: RealField,
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
The rotation matrix required to align a
and b
but with its angle.
This is the rotation R
such that (R * a).angle(b) == 0 && (R * a).dot(b).is_positive()
.
Example
let a = Vector2::new(1.0, 2.0);
let b = Vector2::new(2.0, 1.0);
let rot = Rotation2::rotation_between(&a, &b);
assert_relative_eq!(rot * a, b);
assert_relative_eq!(rot.inverse() * b, a);
sourcepub fn scaled_rotation_between<SB, SC>(
a: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
b: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>,
s: T
) -> Rotation<T, 2_usize> where
T: RealField,
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
pub fn scaled_rotation_between<SB, SC>(
a: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
b: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>,
s: T
) -> Rotation<T, 2_usize> where
T: RealField,
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
The smallest rotation needed to make a
and b
collinear and point toward the same
direction, raised to the power s
.
Example
let a = Vector2::new(1.0, 2.0);
let b = Vector2::new(2.0, 1.0);
let rot2 = Rotation2::scaled_rotation_between(&a, &b, 0.2);
let rot5 = Rotation2::scaled_rotation_between(&a, &b, 0.5);
assert_relative_eq!(rot2 * rot2 * rot2 * rot2 * rot2 * a, b, epsilon = 1.0e-6);
assert_relative_eq!(rot5 * rot5 * a, b, epsilon = 1.0e-6);
sourcepub fn rotation_to(&self, other: &Rotation<T, 2_usize>) -> Rotation<T, 2_usize>
pub fn rotation_to(&self, other: &Rotation<T, 2_usize>) -> Rotation<T, 2_usize>
The rotation matrix needed to make self
and other
coincide.
The result is such that: self.rotation_to(other) * self == other
.
Example
let rot1 = Rotation2::new(0.1);
let rot2 = Rotation2::new(1.7);
let rot_to = rot1.rotation_to(&rot2);
assert_relative_eq!(rot_to * rot1, rot2);
assert_relative_eq!(rot_to.inverse() * rot2, rot1);
sourcepub fn renormalize(&mut self) where
T: RealField,
pub fn renormalize(&mut self) where
T: RealField,
Ensure this rotation is an orthonormal rotation matrix. This is useful when repeated computations might cause the matrix from progressively not being orthonormal anymore.
sourceimpl<T> Rotation<T, 2_usize> where
T: SimdRealField,
impl<T> Rotation<T, 2_usize> where
T: SimdRealField,
sourcepub fn angle_to(&self, other: &Rotation<T, 2_usize>) -> T
pub fn angle_to(&self, other: &Rotation<T, 2_usize>) -> T
The rotation angle needed to make self
and other
coincide.
Example
let rot1 = Rotation2::new(0.1);
let rot2 = Rotation2::new(1.7);
assert_relative_eq!(rot1.angle_to(&rot2), 1.6);
sourcepub fn scaled_axis(
&self
) -> Matrix<T, Const<1_usize>, Const<1_usize>, ArrayStorage<T, 1_usize, 1_usize>>
pub fn scaled_axis(
&self
) -> Matrix<T, Const<1_usize>, Const<1_usize>, ArrayStorage<T, 1_usize, 1_usize>>
The rotation angle returned as a 1-dimensional vector.
This is generally used in the context of generic programming. Using
the .angle()
method instead is more common.
sourceimpl<T> Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn new<SB>(
axisangle: Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
pub fn new<SB>(
axisangle: Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
Builds a 3 dimensional rotation matrix from an axis and an angle.
Arguments
axisangle
- A vector representing the rotation. Its magnitude is the amount of rotation in radian. Its direction is the axis of rotation.
Example
let axisangle = Vector3::y() * f32::consts::FRAC_PI_2;
// Point and vector being transformed in the tests.
let pt = Point3::new(4.0, 5.0, 6.0);
let vec = Vector3::new(4.0, 5.0, 6.0);
let rot = Rotation3::new(axisangle);
assert_relative_eq!(rot * pt, Point3::new(6.0, 5.0, -4.0), epsilon = 1.0e-6);
assert_relative_eq!(rot * vec, Vector3::new(6.0, 5.0, -4.0), epsilon = 1.0e-6);
// A zero vector yields an identity.
assert_eq!(Rotation3::new(Vector3::<f32>::zeros()), Rotation3::identity());
sourcepub fn from_scaled_axis<SB>(
axisangle: Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
pub fn from_scaled_axis<SB>(
axisangle: Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
Builds a 3D rotation matrix from an axis scaled by the rotation angle.
This is the same as Self::new(axisangle)
.
Example
let axisangle = Vector3::y() * f32::consts::FRAC_PI_2;
// Point and vector being transformed in the tests.
let pt = Point3::new(4.0, 5.0, 6.0);
let vec = Vector3::new(4.0, 5.0, 6.0);
let rot = Rotation3::new(axisangle);
assert_relative_eq!(rot * pt, Point3::new(6.0, 5.0, -4.0), epsilon = 1.0e-6);
assert_relative_eq!(rot * vec, Vector3::new(6.0, 5.0, -4.0), epsilon = 1.0e-6);
// A zero vector yields an identity.
assert_eq!(Rotation3::from_scaled_axis(Vector3::<f32>::zeros()), Rotation3::identity());
sourcepub fn from_axis_angle<SB>(
axis: &Unit<Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>>,
angle: T
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
pub fn from_axis_angle<SB>(
axis: &Unit<Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>>,
angle: T
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
Builds a 3D rotation matrix from an axis and a rotation angle.
Example
let axis = Vector3::y_axis();
let angle = f32::consts::FRAC_PI_2;
// Point and vector being transformed in the tests.
let pt = Point3::new(4.0, 5.0, 6.0);
let vec = Vector3::new(4.0, 5.0, 6.0);
let rot = Rotation3::from_axis_angle(&axis, angle);
assert_eq!(rot.axis().unwrap(), axis);
assert_eq!(rot.angle(), angle);
assert_relative_eq!(rot * pt, Point3::new(6.0, 5.0, -4.0), epsilon = 1.0e-6);
assert_relative_eq!(rot * vec, Vector3::new(6.0, 5.0, -4.0), epsilon = 1.0e-6);
// A zero vector yields an identity.
assert_eq!(Rotation3::from_scaled_axis(Vector3::<f32>::zeros()), Rotation3::identity());
sourcepub fn from_euler_angles(roll: T, pitch: T, yaw: T) -> Rotation<T, 3_usize>
pub fn from_euler_angles(roll: T, pitch: T, yaw: T) -> Rotation<T, 3_usize>
Creates a new rotation from Euler angles.
The primitive rotations are applied in order: 1 roll − 2 pitch − 3 yaw.
Example
let rot = Rotation3::from_euler_angles(0.1, 0.2, 0.3);
let euler = rot.euler_angles();
assert_relative_eq!(euler.0, 0.1, epsilon = 1.0e-6);
assert_relative_eq!(euler.1, 0.2, epsilon = 1.0e-6);
assert_relative_eq!(euler.2, 0.3, epsilon = 1.0e-6);
sourceimpl<T> Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn face_towards<SB, SC>(
dir: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
up: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
pub fn face_towards<SB, SC>(
dir: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
up: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
Creates a rotation that corresponds to the local frame of an observer standing at the
origin and looking toward dir
.
It maps the z
axis to the direction dir
.
Arguments
- dir - The look direction, that is, direction the matrix
z
axis will be aligned with. - up - The vertical direction. The only requirement of this parameter is to not be
collinear to
dir
. Non-collinearity is not checked.
Example
let dir = Vector3::new(1.0, 2.0, 3.0);
let up = Vector3::y();
let rot = Rotation3::face_towards(&dir, &up);
assert_relative_eq!(rot * Vector3::z(), dir.normalize());
sourcepub fn new_observer_frames<SB, SC>(
dir: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
up: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
👎 Deprecated: renamed to face_towards
pub fn new_observer_frames<SB, SC>(
dir: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
up: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
renamed to face_towards
Deprecated: Use Rotation3::face_towards
instead.
sourcepub fn look_at_rh<SB, SC>(
dir: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
up: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
pub fn look_at_rh<SB, SC>(
dir: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
up: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
Builds a right-handed look-at view matrix without translation.
It maps the view direction dir
to the negative z
axis.
This conforms to the common notion of right handed look-at matrix from the computer
graphics community.
Arguments
- dir - The direction toward which the camera looks.
- up - A vector approximately aligned with required the vertical axis. The only
requirement of this parameter is to not be collinear to
dir
.
Example
let dir = Vector3::new(1.0, 2.0, 3.0);
let up = Vector3::y();
let rot = Rotation3::look_at_rh(&dir, &up);
assert_relative_eq!(rot * dir.normalize(), -Vector3::z());
sourcepub fn look_at_lh<SB, SC>(
dir: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
up: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
pub fn look_at_lh<SB, SC>(
dir: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
up: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Rotation<T, 3_usize> where
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
Builds a left-handed look-at view matrix without translation.
It maps the view direction dir
to the positive z
axis.
This conforms to the common notion of left handed look-at matrix from the computer
graphics community.
Arguments
- dir - The direction toward which the camera looks.
- up - A vector approximately aligned with required the vertical axis. The only
requirement of this parameter is to not be collinear to
dir
.
Example
let dir = Vector3::new(1.0, 2.0, 3.0);
let up = Vector3::y();
let rot = Rotation3::look_at_lh(&dir, &up);
assert_relative_eq!(rot * dir.normalize(), Vector3::z());
sourceimpl<T> Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn rotation_between<SB, SC>(
a: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
b: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Option<Rotation<T, 3_usize>> where
T: RealField,
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
pub fn rotation_between<SB, SC>(
a: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
b: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>
) -> Option<Rotation<T, 3_usize>> where
T: RealField,
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
The rotation matrix required to align a
and b
but with its angle.
This is the rotation R
such that (R * a).angle(b) == 0 && (R * a).dot(b).is_positive()
.
Example
let a = Vector3::new(1.0, 2.0, 3.0);
let b = Vector3::new(3.0, 1.0, 2.0);
let rot = Rotation3::rotation_between(&a, &b).unwrap();
assert_relative_eq!(rot * a, b, epsilon = 1.0e-6);
assert_relative_eq!(rot.inverse() * b, a, epsilon = 1.0e-6);
sourcepub fn scaled_rotation_between<SB, SC>(
a: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
b: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>,
n: T
) -> Option<Rotation<T, 3_usize>> where
T: RealField,
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
pub fn scaled_rotation_between<SB, SC>(
a: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SB>,
b: &Matrix<T, Const<{_: usize}>, Const<1_usize>, SC>,
n: T
) -> Option<Rotation<T, 3_usize>> where
T: RealField,
SB: Storage<T, Const<{_: usize}>, Const<1_usize>>,
SC: Storage<T, Const<{_: usize}>, Const<1_usize>>,
The smallest rotation needed to make a
and b
collinear and point toward the same
direction, raised to the power s
.
Example
let a = Vector3::new(1.0, 2.0, 3.0);
let b = Vector3::new(3.0, 1.0, 2.0);
let rot2 = Rotation3::scaled_rotation_between(&a, &b, 0.2).unwrap();
let rot5 = Rotation3::scaled_rotation_between(&a, &b, 0.5).unwrap();
assert_relative_eq!(rot2 * rot2 * rot2 * rot2 * rot2 * a, b, epsilon = 1.0e-6);
assert_relative_eq!(rot5 * rot5 * a, b, epsilon = 1.0e-6);
sourcepub fn rotation_to(&self, other: &Rotation<T, 3_usize>) -> Rotation<T, 3_usize>
pub fn rotation_to(&self, other: &Rotation<T, 3_usize>) -> Rotation<T, 3_usize>
The rotation matrix needed to make self
and other
coincide.
The result is such that: self.rotation_to(other) * self == other
.
Example
let rot1 = Rotation3::from_axis_angle(&Vector3::y_axis(), 1.0);
let rot2 = Rotation3::from_axis_angle(&Vector3::x_axis(), 0.1);
let rot_to = rot1.rotation_to(&rot2);
assert_relative_eq!(rot_to * rot1, rot2, epsilon = 1.0e-6);
sourcepub fn powf(&self, n: T) -> Rotation<T, 3_usize> where
T: RealField,
pub fn powf(&self, n: T) -> Rotation<T, 3_usize> where
T: RealField,
Raise the rotation to a given floating power, i.e., returns the rotation with the same
axis as self
and an angle equal to self.angle()
multiplied by n
.
Example
let axis = Unit::new_normalize(Vector3::new(1.0, 2.0, 3.0));
let angle = 1.2;
let rot = Rotation3::from_axis_angle(&axis, angle);
let pow = rot.powf(2.0);
assert_relative_eq!(pow.axis().unwrap(), axis, epsilon = 1.0e-6);
assert_eq!(pow.angle(), 2.4);
sourcepub fn from_basis_unchecked(
basis: &[Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>; 3]
) -> Rotation<T, 3_usize>
pub fn from_basis_unchecked(
basis: &[Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>; 3]
) -> Rotation<T, 3_usize>
Builds a rotation from a basis assumed to be orthonormal.
In order to get a valid rotation matrix, the input must be an orthonormal basis, i.e., all vectors are normalized, and the are all orthogonal to each other. These invariants are not checked by this method.
sourcepub fn from_matrix(
m: &Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 3_usize, 3_usize>>
) -> Rotation<T, 3_usize> where
T: RealField,
pub fn from_matrix(
m: &Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 3_usize, 3_usize>>
) -> Rotation<T, 3_usize> where
T: RealField,
Builds a rotation matrix by extracting the rotation part of the given transformation m
.
This is an iterative method. See .from_matrix_eps
to provide mover
convergence parameters and starting solution.
This implements “A Robust Method to Extract the Rotational Part of Deformations” by Müller et al.
sourcepub fn from_matrix_eps(
m: &Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 3_usize, 3_usize>>,
eps: T,
max_iter: usize,
guess: Rotation<T, 3_usize>
) -> Rotation<T, 3_usize> where
T: RealField,
pub fn from_matrix_eps(
m: &Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 3_usize, 3_usize>>,
eps: T,
max_iter: usize,
guess: Rotation<T, 3_usize>
) -> Rotation<T, 3_usize> where
T: RealField,
Builds a rotation matrix by extracting the rotation part of the given transformation m
.
This implements “A Robust Method to Extract the Rotational Part of Deformations” by Müller et al.
Parameters
m
: the matrix from which the rotational part is to be extracted.eps
: the angular errors tolerated between the current rotation and the optimal one.max_iter
: the maximum number of iterations. Loops indefinitely until convergence if set to0
.guess
: a guess of the solution. Convergence will be significantly faster if an initial solution close to the actual solution is provided. Can be set toRotation3::identity()
if no other guesses come to mind.
sourcepub fn renormalize(&mut self) where
T: RealField,
pub fn renormalize(&mut self) where
T: RealField,
Ensure this rotation is an orthonormal rotation matrix. This is useful when repeated computations might cause the matrix from progressively not being orthonormal anymore.
sourceimpl<T> Rotation<T, 3_usize> where
T: SimdRealField,
impl<T> Rotation<T, 3_usize> where
T: SimdRealField,
sourcepub fn angle(&self) -> T
pub fn angle(&self) -> T
The rotation angle in [0; pi].
Example
let axis = Unit::new_normalize(Vector3::new(1.0, 2.0, 3.0));
let rot = Rotation3::from_axis_angle(&axis, 1.78);
assert_relative_eq!(rot.angle(), 1.78);
sourcepub fn axis(
&self
) -> Option<Unit<Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>>> where
T: RealField,
pub fn axis(
&self
) -> Option<Unit<Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>>> where
T: RealField,
The rotation axis. Returns None
if the rotation angle is zero or PI.
Example
let axis = Unit::new_normalize(Vector3::new(1.0, 2.0, 3.0));
let angle = 1.2;
let rot = Rotation3::from_axis_angle(&axis, angle);
assert_relative_eq!(rot.axis().unwrap(), axis);
// Case with a zero angle.
let rot = Rotation3::from_axis_angle(&axis, 0.0);
assert!(rot.axis().is_none());
sourcepub fn scaled_axis(
&self
) -> Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>> where
T: RealField,
pub fn scaled_axis(
&self
) -> Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>> where
T: RealField,
The rotation axis multiplied by the rotation angle.
Example
let axisangle = Vector3::new(0.1, 0.2, 0.3);
let rot = Rotation3::new(axisangle);
assert_relative_eq!(rot.scaled_axis(), axisangle, epsilon = 1.0e-6);
sourcepub fn axis_angle(
&self
) -> Option<(Unit<Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>>, T)> where
T: RealField,
pub fn axis_angle(
&self
) -> Option<(Unit<Matrix<T, Const<{_: usize}>, Const<1_usize>, ArrayStorage<T, 3_usize, 1_usize>>>, T)> where
T: RealField,
The rotation axis and angle in ]0, pi] of this rotation matrix.
Returns None
if the angle is zero.
Example
let axis = Unit::new_normalize(Vector3::new(1.0, 2.0, 3.0));
let angle = 1.2;
let rot = Rotation3::from_axis_angle(&axis, angle);
let axis_angle = rot.axis_angle().unwrap();
assert_relative_eq!(axis_angle.0, axis);
assert_relative_eq!(axis_angle.1, angle);
// Case with a zero angle.
let rot = Rotation3::from_axis_angle(&axis, 0.0);
assert!(rot.axis_angle().is_none());
sourcepub fn angle_to(&self, other: &Rotation<T, 3_usize>) -> T where
<T as SimdValue>::Element: SimdRealField,
pub fn angle_to(&self, other: &Rotation<T, 3_usize>) -> T where
<T as SimdValue>::Element: SimdRealField,
The rotation angle needed to make self
and other
coincide.
Example
let rot1 = Rotation3::from_axis_angle(&Vector3::y_axis(), 1.0);
let rot2 = Rotation3::from_axis_angle(&Vector3::x_axis(), 0.1);
assert_relative_eq!(rot1.angle_to(&rot2), 1.0045657, epsilon = 1.0e-6);
sourcepub fn to_euler_angles(self) -> (T, T, T) where
T: RealField,
👎 Deprecated: This is renamed to use .euler_angles()
.
pub fn to_euler_angles(self) -> (T, T, T) where
T: RealField,
This is renamed to use .euler_angles()
.
Creates Euler angles from a rotation.
The angles are produced in the form (roll, pitch, yaw).
sourcepub fn euler_angles(&self) -> (T, T, T) where
T: RealField,
pub fn euler_angles(&self) -> (T, T, T) where
T: RealField,
Euler angles corresponding to this rotation from a rotation.
The angles are produced in the form (roll, pitch, yaw).
Example
let rot = Rotation3::from_euler_angles(0.1, 0.2, 0.3);
let euler = rot.euler_angles();
assert_relative_eq!(euler.0, 0.1, epsilon = 1.0e-6);
assert_relative_eq!(euler.1, 0.2, epsilon = 1.0e-6);
assert_relative_eq!(euler.2, 0.3, epsilon = 1.0e-6);
Trait Implementations
sourceimpl<T, const D: usize> AbsDiffEq<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + AbsDiffEq<T>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
impl<T, const D: usize> AbsDiffEq<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + AbsDiffEq<T>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
type Epsilon = <T as AbsDiffEq<T>>::Epsilon
type Epsilon = <T as AbsDiffEq<T>>::Epsilon
Used for specifying relative comparisons.
sourcepub fn default_epsilon(
) -> <Rotation<T, D> as AbsDiffEq<Rotation<T, D>>>::Epsilon
pub fn default_epsilon(
) -> <Rotation<T, D> as AbsDiffEq<Rotation<T, D>>>::Epsilon
The default tolerance to use when testing values that are close together. Read more
sourcepub fn abs_diff_eq(
&self,
other: &Rotation<T, D>,
epsilon: <Rotation<T, D> as AbsDiffEq<Rotation<T, D>>>::Epsilon
) -> bool
pub fn abs_diff_eq(
&self,
other: &Rotation<T, D>,
epsilon: <Rotation<T, D> as AbsDiffEq<Rotation<T, D>>>::Epsilon
) -> bool
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
fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool
The inverse of [AbsDiffEq::abs_diff_eq
].
sourceimpl<T, const D: usize> AbstractRotation<T, D> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> AbstractRotation<T, D> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn inverse_mut(&mut self)
pub fn inverse_mut(&mut self)
Change self
to its inverse.
sourcepub fn transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
) -> Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
pub fn transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
) -> Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
Apply the rotation to the given vector.
sourcepub fn transform_point(&self, p: &OPoint<T, Const<D>>) -> OPoint<T, Const<D>>
pub fn transform_point(&self, p: &OPoint<T, Const<D>>) -> OPoint<T, Const<D>>
Apply the rotation to the given point.
sourcepub fn inverse_transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
) -> Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
pub fn inverse_transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
) -> Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>
Apply the inverse rotation to the given vector.
sourcepub fn inverse_transform_unit_vector(
&self,
v: &Unit<Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>>
) -> Unit<Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>>
pub fn inverse_transform_unit_vector(
&self,
v: &Unit<Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>>
) -> Unit<Matrix<T, Const<D>, Const<1_usize>, ArrayStorage<T, D, 1_usize>>>
Apply the inverse rotation to the given unit vector.
sourceimpl<'b, T, const D: usize> Div<&'b Isometry<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Div<&'b Isometry<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T, const D: usize> Div<&'b Isometry<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T, const D: usize> Div<&'b Isometry<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T> Div<&'b Rotation<T, 2_usize>> for &'a Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Div<&'b Rotation<T, 2_usize>> for &'a Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T> Div<&'b Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Div<&'b Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T> Div<&'b Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Div<&'b Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T> Div<&'b Rotation<T, 3_usize>> for &'a Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Div<&'b Rotation<T, 3_usize>> for &'a Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T, const D: usize> Div<&'b Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<'b, T, const D: usize> Div<&'b Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourceimpl<'a, 'b, T, const D: usize> Div<&'b Rotation<T, D>> for &'a Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T, const D: usize> Div<&'b Rotation<T, D>> for &'a Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T, C, const D: usize> Div<&'b Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'b, T, C, const D: usize> Div<&'b Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'a, 'b, T, C, const D: usize> Div<&'b Rotation<T, D>> for &'a Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
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<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'b, T, const D: usize> Div<&'b Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Div<&'b Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T, const D: usize> Div<&'b Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Div<&'b Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T, const D: usize> Div<&'b Rotation<T, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<'a, 'b, T, const D: usize> Div<&'b Rotation<T, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourceimpl<'a, 'b, T, const D: usize> Div<&'b Rotation<T, D>> for &'a Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T, const D: usize> Div<&'b Rotation<T, D>> for &'a Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T, R1, C1, SA, const D2: usize> Div<&'b Rotation<T, D2>> for &'a Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
impl<'a, 'b, T, R1, C1, SA, const D2: usize> Div<&'b Rotation<T, D2>> for &'a Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
sourceimpl<'b, T, R1, C1, SA, const D2: usize> Div<&'b Rotation<T, D2>> for Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
impl<'b, T, R1, C1, SA, const D2: usize> Div<&'b Rotation<T, D2>> for Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
sourceimpl<'a, 'b, T, const D: usize> Div<&'b Similarity<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T, const D: usize> Div<&'b Similarity<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Similarity<T, Rotation<T, D>, D>
type Output = Similarity<T, Rotation<T, D>, D>
The resulting type after applying the /
operator.
sourcepub fn div(
self,
right: &'b Similarity<T, Rotation<T, D>, D>
) -> <&'a Rotation<T, D> as Div<&'b Similarity<T, Rotation<T, D>, D>>>::Output
pub fn div(
self,
right: &'b Similarity<T, Rotation<T, D>, D>
) -> <&'a Rotation<T, D> as Div<&'b Similarity<T, Rotation<T, D>, D>>>::Output
Performs the /
operation. Read more
sourceimpl<'b, T, const D: usize> Div<&'b Similarity<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Div<&'b Similarity<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Similarity<T, Rotation<T, D>, D>
type Output = Similarity<T, Rotation<T, D>, D>
The resulting type after applying the /
operator.
sourcepub fn div(
self,
right: &'b Similarity<T, Rotation<T, D>, D>
) -> <Rotation<T, D> as Div<&'b Similarity<T, Rotation<T, D>, D>>>::Output
pub fn div(
self,
right: &'b Similarity<T, Rotation<T, D>, D>
) -> <Rotation<T, D> as Div<&'b Similarity<T, Rotation<T, D>, D>>>::Output
Performs the /
operation. Read more
sourceimpl<'a, 'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
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<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'a, 'b, T> Div<&'b Unit<Complex<T>>> for &'a Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Div<&'b Unit<Complex<T>>> for &'a Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T> Div<&'b Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Div<&'b Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T> Div<&'b Unit<Quaternion<T>>> for Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Div<&'b Unit<Quaternion<T>>> for Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<Quaternion<T>>
type Output = Unit<Quaternion<T>>
The resulting type after applying the /
operator.
sourcepub fn div(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <Rotation<T, 3_usize> as Div<&'b Unit<Quaternion<T>>>>::Output
pub fn div(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <Rotation<T, 3_usize> as Div<&'b Unit<Quaternion<T>>>>::Output
Performs the /
operation. Read more
sourceimpl<'a, 'b, T> Div<&'b Unit<Quaternion<T>>> for &'a Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Div<&'b Unit<Quaternion<T>>> for &'a Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<Quaternion<T>>
type Output = Unit<Quaternion<T>>
The resulting type after applying the /
operator.
sourcepub fn div(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <&'a Rotation<T, 3_usize> as Div<&'b Unit<Quaternion<T>>>>::Output
pub fn div(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <&'a Rotation<T, 3_usize> as Div<&'b Unit<Quaternion<T>>>>::Output
Performs the /
operation. Read more
sourceimpl<'a, T, const D: usize> Div<Isometry<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T, const D: usize> Div<Isometry<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, const D: usize> Div<Isometry<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Div<Isometry<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T> Div<Rotation<T, 2_usize>> for &'a Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Div<Rotation<T, 2_usize>> for &'a Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T> Div<Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Div<Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T> Div<Rotation<T, 3_usize>> for &'a Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Div<Rotation<T, 3_usize>> for &'a Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T> Div<Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Div<Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T, const D: usize> Div<Rotation<T, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<'a, T, const D: usize> Div<Rotation<T, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourceimpl<'a, T, const D: usize> Div<Rotation<T, D>> for &'a Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T, const D: usize> Div<Rotation<T, D>> for &'a Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T, C, const D: usize> Div<Rotation<T, D>> for &'a Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'a, T, C, const D: usize> Div<Rotation<T, D>> for &'a Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'a, T, const D: usize> Div<Rotation<T, D>> for &'a Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T, const D: usize> Div<Rotation<T, D>> for &'a Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, const D: usize> Div<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<T, const D: usize> Div<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourceimpl<T, const D: usize> Div<Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Div<Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, const D: usize> Div<Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Div<Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, C, const D: usize> Div<Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<T, C, const D: usize> Div<Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<T, R1, C1, SA, const D2: usize> Div<Rotation<T, D2>> for Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
impl<T, R1, C1, SA, const D2: usize> Div<Rotation<T, D2>> for Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
sourceimpl<'a, T, R1, C1, SA, const D2: usize> Div<Rotation<T, D2>> for &'a Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
impl<'a, T, R1, C1, SA, const D2: usize> Div<Rotation<T, D2>> for &'a Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
sourceimpl<'a, T, const D: usize> Div<Similarity<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T, const D: usize> Div<Similarity<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Similarity<T, Rotation<T, D>, D>
type Output = Similarity<T, Rotation<T, D>, D>
The resulting type after applying the /
operator.
sourcepub fn div(
self,
right: Similarity<T, Rotation<T, D>, D>
) -> <&'a Rotation<T, D> as Div<Similarity<T, Rotation<T, D>, D>>>::Output
pub fn div(
self,
right: Similarity<T, Rotation<T, D>, D>
) -> <&'a Rotation<T, D> as Div<Similarity<T, Rotation<T, D>, D>>>::Output
Performs the /
operation. Read more
sourceimpl<T, const D: usize> Div<Similarity<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Div<Similarity<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Similarity<T, Rotation<T, D>, D>
type Output = Similarity<T, Rotation<T, D>, D>
The resulting type after applying the /
operator.
sourcepub fn div(
self,
right: Similarity<T, Rotation<T, D>, D>
) -> <Rotation<T, D> as Div<Similarity<T, Rotation<T, D>, D>>>::Output
pub fn div(
self,
right: Similarity<T, Rotation<T, D>, D>
) -> <Rotation<T, D> as Div<Similarity<T, Rotation<T, D>, D>>>::Output
Performs the /
operation. Read more
sourceimpl<T, C, const D: usize> Div<Transform<T, C, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<T, C, const D: usize> Div<Transform<T, C, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'a, T, C, const D: usize> Div<Transform<T, C, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'a, T, C, const D: usize> Div<Transform<T, C, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<T> Div<Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Div<Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T> Div<Unit<Complex<T>>> for &'a Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Div<Unit<Complex<T>>> for &'a Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T> Div<Unit<Quaternion<T>>> for &'a Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Div<Unit<Quaternion<T>>> for &'a Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<Quaternion<T>>
type Output = Unit<Quaternion<T>>
The resulting type after applying the /
operator.
sourcepub fn div(
self,
rhs: Unit<Quaternion<T>>
) -> <&'a Rotation<T, 3_usize> as Div<Unit<Quaternion<T>>>>::Output
pub fn div(
self,
rhs: Unit<Quaternion<T>>
) -> <&'a Rotation<T, 3_usize> as Div<Unit<Quaternion<T>>>>::Output
Performs the /
operation. Read more
sourceimpl<T> Div<Unit<Quaternion<T>>> for Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Div<Unit<Quaternion<T>>> for Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<Quaternion<T>>
type Output = Unit<Quaternion<T>>
The resulting type after applying the /
operator.
sourcepub fn div(
self,
rhs: Unit<Quaternion<T>>
) -> <Rotation<T, 3_usize> as Div<Unit<Quaternion<T>>>>::Output
pub fn div(
self,
rhs: Unit<Quaternion<T>>
) -> <Rotation<T, 3_usize> as Div<Unit<Quaternion<T>>>>::Output
Performs the /
operation. Read more
sourceimpl<'b, T> DivAssign<&'b Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> DivAssign<&'b Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn div_assign(&mut self, rhs: &'b Rotation<T, 2_usize>)
pub fn div_assign(&mut self, rhs: &'b Rotation<T, 2_usize>)
Performs the /=
operation. Read more
sourceimpl<'b, T> DivAssign<&'b Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> DivAssign<&'b Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn div_assign(&mut self, rhs: &'b Rotation<T, 3_usize>)
pub fn div_assign(&mut self, rhs: &'b Rotation<T, 3_usize>)
Performs the /=
operation. Read more
sourceimpl<'b, T, const R1: usize, const C1: usize> DivAssign<&'b Rotation<T, C1>> for Matrix<T, Const<R1>, Const<C1>, ArrayStorage<T, R1, C1>> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<'b, T, const R1: usize, const C1: usize> DivAssign<&'b Rotation<T, C1>> for Matrix<T, Const<R1>, Const<C1>, ArrayStorage<T, R1, C1>> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourcepub fn div_assign(&mut self, right: &'b Rotation<T, C1>)
pub fn div_assign(&mut self, right: &'b Rotation<T, C1>)
Performs the /=
operation. Read more
sourceimpl<'b, T, const D: usize> DivAssign<&'b Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> DivAssign<&'b Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn div_assign(&mut self, rhs: &'b Rotation<T, D>)
pub fn div_assign(&mut self, rhs: &'b Rotation<T, D>)
Performs the /=
operation. Read more
sourceimpl<'b, T, C, const D: usize> DivAssign<&'b Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategory,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'b, T, C, const D: usize> DivAssign<&'b Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategory,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourcepub fn div_assign(&mut self, rhs: &'b Rotation<T, D>)
pub fn div_assign(&mut self, rhs: &'b Rotation<T, D>)
Performs the /=
operation. Read more
sourceimpl<'b, T, const D: usize> DivAssign<&'b Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> DivAssign<&'b Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn div_assign(&mut self, rhs: &'b Rotation<T, D>)
pub fn div_assign(&mut self, rhs: &'b Rotation<T, D>)
Performs the /=
operation. Read more
sourceimpl<'b, T, const D: usize> DivAssign<&'b Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<'b, T, const D: usize> DivAssign<&'b Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourcepub fn div_assign(&mut self, right: &'b Rotation<T, D>)
pub fn div_assign(&mut self, right: &'b Rotation<T, D>)
Performs the /=
operation. Read more
sourceimpl<'b, T> DivAssign<&'b Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> DivAssign<&'b Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn div_assign(&mut self, rhs: &'b Unit<Complex<T>>)
pub fn div_assign(&mut self, rhs: &'b Unit<Complex<T>>)
Performs the /=
operation. Read more
sourceimpl<T> DivAssign<Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> DivAssign<Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn div_assign(&mut self, rhs: Rotation<T, 2_usize>)
pub fn div_assign(&mut self, rhs: Rotation<T, 2_usize>)
Performs the /=
operation. Read more
sourceimpl<T> DivAssign<Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> DivAssign<Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn div_assign(&mut self, rhs: Rotation<T, 3_usize>)
pub fn div_assign(&mut self, rhs: Rotation<T, 3_usize>)
Performs the /=
operation. Read more
sourceimpl<T, const R1: usize, const C1: usize> DivAssign<Rotation<T, C1>> for Matrix<T, Const<R1>, Const<C1>, ArrayStorage<T, R1, C1>> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<T, const R1: usize, const C1: usize> DivAssign<Rotation<T, C1>> for Matrix<T, Const<R1>, Const<C1>, ArrayStorage<T, R1, C1>> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourcepub fn div_assign(&mut self, right: Rotation<T, C1>)
pub fn div_assign(&mut self, right: Rotation<T, C1>)
Performs the /=
operation. Read more
sourceimpl<T, const D: usize> DivAssign<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<T, const D: usize> DivAssign<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourcepub fn div_assign(&mut self, right: Rotation<T, D>)
pub fn div_assign(&mut self, right: Rotation<T, D>)
Performs the /=
operation. Read more
sourceimpl<T, C, const D: usize> DivAssign<Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategory,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<T, C, const D: usize> DivAssign<Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategory,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourcepub fn div_assign(&mut self, rhs: Rotation<T, D>)
pub fn div_assign(&mut self, rhs: Rotation<T, D>)
Performs the /=
operation. Read more
sourceimpl<T, const D: usize> DivAssign<Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> DivAssign<Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn div_assign(&mut self, rhs: Rotation<T, D>)
pub fn div_assign(&mut self, rhs: Rotation<T, D>)
Performs the /=
operation. Read more
sourceimpl<T, const D: usize> DivAssign<Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> DivAssign<Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn div_assign(&mut self, rhs: Rotation<T, D>)
pub fn div_assign(&mut self, rhs: Rotation<T, D>)
Performs the /=
operation. Read more
sourceimpl<T> DivAssign<Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> DivAssign<Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn div_assign(&mut self, rhs: Unit<Complex<T>>)
pub fn div_assign(&mut self, rhs: Unit<Complex<T>>)
Performs the /=
operation. Read more
sourceimpl<T, const D: usize> From<[Rotation<<T as SimdValue>::Element, D>; 16]> for Rotation<T, D> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 16]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
impl<T, const D: usize> From<[Rotation<<T as SimdValue>::Element, D>; 16]> for Rotation<T, D> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 16]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
sourceimpl<T, const D: usize> From<[Rotation<<T as SimdValue>::Element, D>; 2]> for Rotation<T, D> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 2]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
impl<T, const D: usize> From<[Rotation<<T as SimdValue>::Element, D>; 2]> for Rotation<T, D> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 2]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
sourceimpl<T, const D: usize> From<[Rotation<<T as SimdValue>::Element, D>; 4]> for Rotation<T, D> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 4]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
impl<T, const D: usize> From<[Rotation<<T as SimdValue>::Element, D>; 4]> for Rotation<T, D> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 4]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
sourceimpl<T, const D: usize> From<[Rotation<<T as SimdValue>::Element, D>; 8]> for Rotation<T, D> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 8]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
impl<T, const D: usize> From<[Rotation<<T as SimdValue>::Element, D>; 8]> for Rotation<T, D> where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 8]>,
<T as SimdValue>::Element: Scalar,
<T as SimdValue>::Element: Copy,
sourceimpl<T> From<Rotation<T, 2_usize>> for Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 3_usize, 3_usize>> where
T: RealField,
impl<T> From<Rotation<T, 2_usize>> for Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 3_usize, 3_usize>> where
T: RealField,
sourceimpl<T> From<Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> From<Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T> From<Rotation<T, 2_usize>> for Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 2_usize, 2_usize>> where
T: RealField,
impl<T> From<Rotation<T, 2_usize>> for Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 2_usize, 2_usize>> where
T: RealField,
sourceimpl<T> From<Rotation<T, 3_usize>> for Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 3_usize, 3_usize>> where
T: RealField,
impl<T> From<Rotation<T, 3_usize>> for Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 3_usize, 3_usize>> where
T: RealField,
sourceimpl<T> From<Rotation<T, 3_usize>> for Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 4_usize, 4_usize>> where
T: RealField,
impl<T> From<Rotation<T, 3_usize>> for Matrix<T, Const<{_: usize}>, Const<{_: usize}>, ArrayStorage<T, 4_usize, 4_usize>> where
T: RealField,
sourceimpl<T> From<Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> From<Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn from(q: Rotation<T, 3_usize>) -> Unit<Quaternion<T>>
pub fn from(q: Rotation<T, 3_usize>) -> Unit<Quaternion<T>>
Performs the conversion.
sourceimpl<T> From<Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> From<Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T> From<Unit<Quaternion<T>>> for Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> From<Unit<Quaternion<T>>> for Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn from(q: Unit<Quaternion<T>>) -> Rotation<T, 3_usize>
pub fn from(q: Unit<Quaternion<T>>) -> Rotation<T, 3_usize>
Performs the conversion.
sourceimpl<T, const D: usize> Hash for Rotation<T, D> where
T: Scalar + Hash,
<DefaultAllocator as Allocator<T, Const<D>, Const<D>>>::Buffer: Hash,
impl<T, const D: usize> Hash for Rotation<T, D> where
T: Scalar + Hash,
<DefaultAllocator as Allocator<T, Const<D>, Const<D>>>::Buffer: Hash,
sourceimpl<'a, 'b, T, const D: usize> Mul<&'b Isometry<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T, const D: usize> Mul<&'b Isometry<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T, const D: usize> Mul<&'b Isometry<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Mul<&'b Isometry<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T, R2, C2, SB, const D1: usize> Mul<&'b Matrix<T, R2, C2, SB>> for &'a Rotation<T, D1> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R2: Dim,
C2: Dim,
SB: Storage<T, R2, C2>,
DefaultAllocator: Allocator<T, Const<D1>, C2>,
ShapeConstraint: AreMultipliable<Const<D1>, Const<D1>, R2, C2>,
impl<'a, 'b, T, R2, C2, SB, const D1: usize> Mul<&'b Matrix<T, R2, C2, SB>> for &'a Rotation<T, D1> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R2: Dim,
C2: Dim,
SB: Storage<T, R2, C2>,
DefaultAllocator: Allocator<T, Const<D1>, C2>,
ShapeConstraint: AreMultipliable<Const<D1>, Const<D1>, R2, C2>,
sourceimpl<'b, T, R2, C2, SB, const D1: usize> Mul<&'b Matrix<T, R2, C2, SB>> for Rotation<T, D1> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R2: Dim,
C2: Dim,
SB: Storage<T, R2, C2>,
DefaultAllocator: Allocator<T, Const<D1>, C2>,
ShapeConstraint: AreMultipliable<Const<D1>, Const<D1>, R2, C2>,
impl<'b, T, R2, C2, SB, const D1: usize> Mul<&'b Matrix<T, R2, C2, SB>> for Rotation<T, D1> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R2: Dim,
C2: Dim,
SB: Storage<T, R2, C2>,
DefaultAllocator: Allocator<T, Const<D1>, C2>,
ShapeConstraint: AreMultipliable<Const<D1>, Const<D1>, R2, C2>,
sourceimpl<'a, 'b, T, const D: usize> Mul<&'b OPoint<T, Const<D>>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
impl<'a, 'b, T, const D: usize> Mul<&'b OPoint<T, Const<D>>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
sourceimpl<'b, T, const D: usize> Mul<&'b OPoint<T, Const<D>>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
impl<'b, T, const D: usize> Mul<&'b OPoint<T, Const<D>>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
sourceimpl<'a, 'b, T> Mul<&'b Rotation<T, 2_usize>> for &'a Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Mul<&'b Rotation<T, 2_usize>> for &'a Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T> Mul<&'b Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T> Mul<&'b Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T> Mul<&'b Rotation<T, 3_usize>> for &'a Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Mul<&'b Rotation<T, 3_usize>> for &'a Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T, const D: usize> Mul<&'b Rotation<T, D>> for &'a Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T, const D: usize> Mul<&'b Rotation<T, D>> for &'a Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T, const D: usize> Mul<&'b Rotation<T, D>> for &'a Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T, const D: usize> Mul<&'b Rotation<T, D>> for &'a Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T, C, const D: usize> Mul<&'b Rotation<T, D>> for &'a Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'a, 'b, T, C, const D: usize> Mul<&'b Rotation<T, D>> for &'a Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'b, T, const D: usize> Mul<&'b Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Mul<&'b Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T, const D: usize> Mul<&'b Rotation<T, D>> for Translation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Mul<&'b Rotation<T, D>> for Translation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T, C, const D: usize> Mul<&'b Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'b, T, C, const D: usize> Mul<&'b Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'b, T, const D: usize> Mul<&'b Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<'b, T, const D: usize> Mul<&'b Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourceimpl<'a, 'b, T, const D: usize> Mul<&'b Rotation<T, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<'a, 'b, T, const D: usize> Mul<&'b Rotation<T, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourceimpl<'b, T, const D: usize> Mul<&'b Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Mul<&'b Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T, const D: usize> Mul<&'b Rotation<T, D>> for &'a Translation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T, const D: usize> Mul<&'b Rotation<T, D>> for &'a Translation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T, R1, C1, SA, const D2: usize> Mul<&'b Rotation<T, D2>> for Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
impl<'b, T, R1, C1, SA, const D2: usize> Mul<&'b Rotation<T, D2>> for Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
sourceimpl<'a, 'b, T, R1, C1, SA, const D2: usize> Mul<&'b Rotation<T, D2>> for &'a Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
impl<'a, 'b, T, R1, C1, SA, const D2: usize> Mul<&'b Rotation<T, D2>> for &'a Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
sourceimpl<'a, 'b, T, const D: usize> Mul<&'b Similarity<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T, const D: usize> Mul<&'b Similarity<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Similarity<T, Rotation<T, D>, D>
type Output = Similarity<T, Rotation<T, D>, D>
The resulting type after applying the *
operator.
sourcepub fn mul(
self,
right: &'b Similarity<T, Rotation<T, D>, D>
) -> <&'a Rotation<T, D> as Mul<&'b Similarity<T, Rotation<T, D>, D>>>::Output
pub fn mul(
self,
right: &'b Similarity<T, Rotation<T, D>, D>
) -> <&'a Rotation<T, D> as Mul<&'b Similarity<T, Rotation<T, D>, D>>>::Output
Performs the *
operation. Read more
sourceimpl<'b, T, const D: usize> Mul<&'b Similarity<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Mul<&'b Similarity<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Similarity<T, Rotation<T, D>, D>
type Output = Similarity<T, Rotation<T, D>, D>
The resulting type after applying the *
operator.
sourcepub fn mul(
self,
right: &'b Similarity<T, Rotation<T, D>, D>
) -> <Rotation<T, D> as Mul<&'b Similarity<T, Rotation<T, D>, D>>>::Output
pub fn mul(
self,
right: &'b Similarity<T, Rotation<T, D>, D>
) -> <Rotation<T, D> as Mul<&'b Similarity<T, Rotation<T, D>, D>>>::Output
Performs the *
operation. Read more
sourceimpl<'b, T, C, const D: usize> Mul<&'b Transform<T, C, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'b, T, C, const D: usize> Mul<&'b Transform<T, C, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'a, 'b, T, C, const D: usize> Mul<&'b Transform<T, C, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'a, 'b, T, C, const D: usize> Mul<&'b Transform<T, C, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'b, T, const D: usize> Mul<&'b Translation<T, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Mul<&'b Translation<T, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T, const D: usize> Mul<&'b Translation<T, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T, const D: usize> Mul<&'b Translation<T, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T> Mul<&'b Unit<Complex<T>>> for &'a Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Mul<&'b Unit<Complex<T>>> for &'a Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T> Mul<&'b Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T, S, const D: usize> Mul<&'b Unit<Matrix<T, Const<D>, Const<1_usize>, S>>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
S: Storage<T, Const<D>, Const<1_usize>>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
impl<'a, 'b, T, S, const D: usize> Mul<&'b Unit<Matrix<T, Const<D>, Const<1_usize>, S>>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
S: Storage<T, Const<D>, Const<1_usize>>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
sourceimpl<'b, T, S, const D: usize> Mul<&'b Unit<Matrix<T, Const<D>, Const<1_usize>, S>>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
S: Storage<T, Const<D>, Const<1_usize>>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
impl<'b, T, S, const D: usize> Mul<&'b Unit<Matrix<T, Const<D>, Const<1_usize>, S>>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
S: Storage<T, Const<D>, Const<1_usize>>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
sourceimpl<'a, 'b, T> Mul<&'b Unit<Quaternion<T>>> for &'a Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Mul<&'b Unit<Quaternion<T>>> for &'a Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<Quaternion<T>>
type Output = Unit<Quaternion<T>>
The resulting type after applying the *
operator.
sourcepub fn mul(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <&'a Rotation<T, 3_usize> as Mul<&'b Unit<Quaternion<T>>>>::Output
pub fn mul(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <&'a Rotation<T, 3_usize> as Mul<&'b Unit<Quaternion<T>>>>::Output
Performs the *
operation. Read more
sourceimpl<'b, T> Mul<&'b Unit<Quaternion<T>>> for Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Unit<Quaternion<T>>> for Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<Quaternion<T>>
type Output = Unit<Quaternion<T>>
The resulting type after applying the *
operator.
sourcepub fn mul(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <Rotation<T, 3_usize> as Mul<&'b Unit<Quaternion<T>>>>::Output
pub fn mul(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <Rotation<T, 3_usize> as Mul<&'b Unit<Quaternion<T>>>>::Output
Performs the *
operation. Read more
sourceimpl<T, const D: usize> Mul<Isometry<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Mul<Isometry<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T, const D: usize> Mul<Isometry<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T, const D: usize> Mul<Isometry<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, R2, C2, SB, const D1: usize> Mul<Matrix<T, R2, C2, SB>> for Rotation<T, D1> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R2: Dim,
C2: Dim,
SB: Storage<T, R2, C2>,
DefaultAllocator: Allocator<T, Const<D1>, C2>,
ShapeConstraint: AreMultipliable<Const<D1>, Const<D1>, R2, C2>,
impl<T, R2, C2, SB, const D1: usize> Mul<Matrix<T, R2, C2, SB>> for Rotation<T, D1> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R2: Dim,
C2: Dim,
SB: Storage<T, R2, C2>,
DefaultAllocator: Allocator<T, Const<D1>, C2>,
ShapeConstraint: AreMultipliable<Const<D1>, Const<D1>, R2, C2>,
sourceimpl<'a, T, R2, C2, SB, const D1: usize> Mul<Matrix<T, R2, C2, SB>> for &'a Rotation<T, D1> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R2: Dim,
C2: Dim,
SB: Storage<T, R2, C2>,
DefaultAllocator: Allocator<T, Const<D1>, C2>,
ShapeConstraint: AreMultipliable<Const<D1>, Const<D1>, R2, C2>,
impl<'a, T, R2, C2, SB, const D1: usize> Mul<Matrix<T, R2, C2, SB>> for &'a Rotation<T, D1> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R2: Dim,
C2: Dim,
SB: Storage<T, R2, C2>,
DefaultAllocator: Allocator<T, Const<D1>, C2>,
ShapeConstraint: AreMultipliable<Const<D1>, Const<D1>, R2, C2>,
sourceimpl<'a, T, const D: usize> Mul<OPoint<T, Const<D>>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
impl<'a, T, const D: usize> Mul<OPoint<T, Const<D>>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
sourceimpl<T, const D: usize> Mul<OPoint<T, Const<D>>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
impl<T, const D: usize> Mul<OPoint<T, Const<D>>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
sourceimpl<'a, T> Mul<Rotation<T, 2_usize>> for &'a Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Mul<Rotation<T, 2_usize>> for &'a Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T> Mul<Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T> Mul<Rotation<T, 3_usize>> for &'a Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Mul<Rotation<T, 3_usize>> for &'a Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T> Mul<Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T, const D: usize> Mul<Rotation<T, D>> for &'a Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T, const D: usize> Mul<Rotation<T, D>> for &'a Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T, const D: usize> Mul<Rotation<T, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<'a, T, const D: usize> Mul<Rotation<T, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourceimpl<'a, T, C, const D: usize> Mul<Rotation<T, D>> for &'a Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'a, T, C, const D: usize> Mul<Rotation<T, D>> for &'a Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<T, const D: usize> Mul<Rotation<T, D>> for Translation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Mul<Rotation<T, D>> for Translation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, const D: usize> Mul<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<T, const D: usize> Mul<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourceimpl<'a, T, const D: usize> Mul<Rotation<T, D>> for &'a Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T, const D: usize> Mul<Rotation<T, D>> for &'a Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, const D: usize> Mul<Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Mul<Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, C, const D: usize> Mul<Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<T, C, const D: usize> Mul<Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<T, const D: usize> Mul<Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Mul<Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T, const D: usize> Mul<Rotation<T, D>> for &'a Translation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T, const D: usize> Mul<Rotation<T, D>> for &'a Translation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T, R1, C1, SA, const D2: usize> Mul<Rotation<T, D2>> for &'a Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
impl<'a, T, R1, C1, SA, const D2: usize> Mul<Rotation<T, D2>> for &'a Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
sourceimpl<T, R1, C1, SA, const D2: usize> Mul<Rotation<T, D2>> for Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
impl<T, R1, C1, SA, const D2: usize> Mul<Rotation<T, D2>> for Matrix<T, R1, C1, SA> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
R1: Dim,
C1: Dim,
SA: Storage<T, R1, C1>,
DefaultAllocator: Allocator<T, R1, Const<D2>>,
ShapeConstraint: AreMultipliable<R1, C1, Const<D2>, Const<D2>>,
sourceimpl<'a, T, const D: usize> Mul<Similarity<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T, const D: usize> Mul<Similarity<T, Rotation<T, D>, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Similarity<T, Rotation<T, D>, D>
type Output = Similarity<T, Rotation<T, D>, D>
The resulting type after applying the *
operator.
sourcepub fn mul(
self,
right: Similarity<T, Rotation<T, D>, D>
) -> <&'a Rotation<T, D> as Mul<Similarity<T, Rotation<T, D>, D>>>::Output
pub fn mul(
self,
right: Similarity<T, Rotation<T, D>, D>
) -> <&'a Rotation<T, D> as Mul<Similarity<T, Rotation<T, D>, D>>>::Output
Performs the *
operation. Read more
sourceimpl<T, const D: usize> Mul<Similarity<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Mul<Similarity<T, Rotation<T, D>, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Similarity<T, Rotation<T, D>, D>
type Output = Similarity<T, Rotation<T, D>, D>
The resulting type after applying the *
operator.
sourcepub fn mul(
self,
right: Similarity<T, Rotation<T, D>, D>
) -> <Rotation<T, D> as Mul<Similarity<T, Rotation<T, D>, D>>>::Output
pub fn mul(
self,
right: Similarity<T, Rotation<T, D>, D>
) -> <Rotation<T, D> as Mul<Similarity<T, Rotation<T, D>, D>>>::Output
Performs the *
operation. Read more
sourceimpl<T, C, const D: usize> Mul<Transform<T, C, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<T, C, const D: usize> Mul<Transform<T, C, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'a, T, C, const D: usize> Mul<Transform<T, C, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'a, T, C, const D: usize> Mul<Transform<T, C, D>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategoryMul<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourceimpl<'a, T, const D: usize> Mul<Translation<T, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T, const D: usize> Mul<Translation<T, D>> for &'a Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, const D: usize> Mul<Translation<T, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Mul<Translation<T, D>> for Rotation<T, D> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T> Mul<Unit<Complex<T>>> for &'a Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Mul<Unit<Complex<T>>> for &'a Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T> Mul<Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T, S, const D: usize> Mul<Unit<Matrix<T, Const<D>, Const<1_usize>, S>>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
S: Storage<T, Const<D>, Const<1_usize>>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
impl<'a, T, S, const D: usize> Mul<Unit<Matrix<T, Const<D>, Const<1_usize>, S>>> for &'a Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
S: Storage<T, Const<D>, Const<1_usize>>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
sourceimpl<T, S, const D: usize> Mul<Unit<Matrix<T, Const<D>, Const<1_usize>, S>>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
S: Storage<T, Const<D>, Const<1_usize>>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
impl<T, S, const D: usize> Mul<Unit<Matrix<T, Const<D>, Const<1_usize>, S>>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
S: Storage<T, Const<D>, Const<1_usize>>,
ShapeConstraint: AreMultipliable<Const<D>, Const<D>, Const<D>, Const<1_usize>>,
sourceimpl<T> Mul<Unit<Quaternion<T>>> for Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Unit<Quaternion<T>>> for Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<Quaternion<T>>
type Output = Unit<Quaternion<T>>
The resulting type after applying the *
operator.
sourcepub fn mul(
self,
rhs: Unit<Quaternion<T>>
) -> <Rotation<T, 3_usize> as Mul<Unit<Quaternion<T>>>>::Output
pub fn mul(
self,
rhs: Unit<Quaternion<T>>
) -> <Rotation<T, 3_usize> as Mul<Unit<Quaternion<T>>>>::Output
Performs the *
operation. Read more
sourceimpl<'a, T> Mul<Unit<Quaternion<T>>> for &'a Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Mul<Unit<Quaternion<T>>> for &'a Rotation<T, 3_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<Quaternion<T>>
type Output = Unit<Quaternion<T>>
The resulting type after applying the *
operator.
sourcepub fn mul(
self,
rhs: Unit<Quaternion<T>>
) -> <&'a Rotation<T, 3_usize> as Mul<Unit<Quaternion<T>>>>::Output
pub fn mul(
self,
rhs: Unit<Quaternion<T>>
) -> <&'a Rotation<T, 3_usize> as Mul<Unit<Quaternion<T>>>>::Output
Performs the *
operation. Read more
sourceimpl<'b, T> MulAssign<&'b Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> MulAssign<&'b Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn mul_assign(&mut self, rhs: &'b Rotation<T, 2_usize>)
pub fn mul_assign(&mut self, rhs: &'b Rotation<T, 2_usize>)
Performs the *=
operation. Read more
sourceimpl<'b, T> MulAssign<&'b Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> MulAssign<&'b Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn mul_assign(&mut self, rhs: &'b Rotation<T, 3_usize>)
pub fn mul_assign(&mut self, rhs: &'b Rotation<T, 3_usize>)
Performs the *=
operation. Read more
sourceimpl<'b, T, const R1: usize, const C1: usize> MulAssign<&'b Rotation<T, C1>> for Matrix<T, Const<R1>, Const<C1>, ArrayStorage<T, R1, C1>> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<'b, T, const R1: usize, const C1: usize> MulAssign<&'b Rotation<T, C1>> for Matrix<T, Const<R1>, Const<C1>, ArrayStorage<T, R1, C1>> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourcepub fn mul_assign(&mut self, right: &'b Rotation<T, C1>)
pub fn mul_assign(&mut self, right: &'b Rotation<T, C1>)
Performs the *=
operation. Read more
sourceimpl<'b, T, const D: usize> MulAssign<&'b Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<'b, T, const D: usize> MulAssign<&'b Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourcepub fn mul_assign(&mut self, right: &'b Rotation<T, D>)
pub fn mul_assign(&mut self, right: &'b Rotation<T, D>)
Performs the *=
operation. Read more
sourceimpl<'b, T, const D: usize> MulAssign<&'b Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> MulAssign<&'b Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn mul_assign(&mut self, rhs: &'b Rotation<T, D>)
pub fn mul_assign(&mut self, rhs: &'b Rotation<T, D>)
Performs the *=
operation. Read more
sourceimpl<'b, T, const D: usize> MulAssign<&'b Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> MulAssign<&'b Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn mul_assign(&mut self, rhs: &'b Rotation<T, D>)
pub fn mul_assign(&mut self, rhs: &'b Rotation<T, D>)
Performs the *=
operation. Read more
sourceimpl<'b, T, C, const D: usize> MulAssign<&'b Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategory,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<'b, T, C, const D: usize> MulAssign<&'b Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategory,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourcepub fn mul_assign(&mut self, rhs: &'b Rotation<T, D>)
pub fn mul_assign(&mut self, rhs: &'b Rotation<T, D>)
Performs the *=
operation. Read more
sourceimpl<'b, T> MulAssign<&'b Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> MulAssign<&'b Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn mul_assign(&mut self, rhs: &'b Unit<Complex<T>>)
pub fn mul_assign(&mut self, rhs: &'b Unit<Complex<T>>)
Performs the *=
operation. Read more
sourceimpl<T> MulAssign<Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> MulAssign<Rotation<T, 2_usize>> for Unit<Complex<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn mul_assign(&mut self, rhs: Rotation<T, 2_usize>)
pub fn mul_assign(&mut self, rhs: Rotation<T, 2_usize>)
Performs the *=
operation. Read more
sourceimpl<T> MulAssign<Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> MulAssign<Rotation<T, 3_usize>> for Unit<Quaternion<T>> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn mul_assign(&mut self, rhs: Rotation<T, 3_usize>)
pub fn mul_assign(&mut self, rhs: Rotation<T, 3_usize>)
Performs the *=
operation. Read more
sourceimpl<T, const R1: usize, const C1: usize> MulAssign<Rotation<T, C1>> for Matrix<T, Const<R1>, Const<C1>, ArrayStorage<T, R1, C1>> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<T, const R1: usize, const C1: usize> MulAssign<Rotation<T, C1>> for Matrix<T, Const<R1>, Const<C1>, ArrayStorage<T, R1, C1>> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourcepub fn mul_assign(&mut self, right: Rotation<T, C1>)
pub fn mul_assign(&mut self, right: Rotation<T, C1>)
Performs the *=
operation. Read more
sourceimpl<T, C, const D: usize> MulAssign<Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategory,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
impl<T, C, const D: usize> MulAssign<Rotation<T, D>> for Transform<T, C, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
C: TCategory,
Const<D>: DimNameAdd<Const<1_usize>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
sourcepub fn mul_assign(&mut self, rhs: Rotation<T, D>)
pub fn mul_assign(&mut self, rhs: Rotation<T, D>)
Performs the *=
operation. Read more
sourceimpl<T, const D: usize> MulAssign<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<T, const D: usize> MulAssign<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourcepub fn mul_assign(&mut self, right: Rotation<T, D>)
pub fn mul_assign(&mut self, right: Rotation<T, D>)
Performs the *=
operation. Read more
sourceimpl<T, const D: usize> MulAssign<Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> MulAssign<Rotation<T, D>> for Isometry<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn mul_assign(&mut self, rhs: Rotation<T, D>)
pub fn mul_assign(&mut self, rhs: Rotation<T, D>)
Performs the *=
operation. Read more
sourceimpl<T, const D: usize> MulAssign<Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> MulAssign<Rotation<T, D>> for Similarity<T, Rotation<T, D>, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn mul_assign(&mut self, rhs: Rotation<T, D>)
pub fn mul_assign(&mut self, rhs: Rotation<T, D>)
Performs the *=
operation. Read more
sourceimpl<T> MulAssign<Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> MulAssign<Unit<Complex<T>>> for Rotation<T, 2_usize> where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn mul_assign(&mut self, rhs: Unit<Complex<T>>)
pub fn mul_assign(&mut self, rhs: Unit<Complex<T>>)
Performs the *=
operation. Read more
sourceimpl<T, const D: usize> One for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
impl<T, const D: usize> One for Rotation<T, D> where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T>,
sourceimpl<T, const D: usize> PartialEq<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + PartialEq<T>,
impl<T, const D: usize> PartialEq<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + PartialEq<T>,
sourceimpl<T, const D: usize> RelativeEq<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + RelativeEq<T>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
impl<T, const D: usize> RelativeEq<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + RelativeEq<T>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
sourcepub fn default_max_relative(
) -> <Rotation<T, D> as AbsDiffEq<Rotation<T, D>>>::Epsilon
pub fn default_max_relative(
) -> <Rotation<T, D> as AbsDiffEq<Rotation<T, D>>>::Epsilon
The default relative tolerance for testing values that are far-apart. Read more
sourcepub fn relative_eq(
&self,
other: &Rotation<T, D>,
epsilon: <Rotation<T, D> as AbsDiffEq<Rotation<T, D>>>::Epsilon,
max_relative: <Rotation<T, D> as AbsDiffEq<Rotation<T, D>>>::Epsilon
) -> bool
pub fn relative_eq(
&self,
other: &Rotation<T, D>,
epsilon: <Rotation<T, D> as AbsDiffEq<Rotation<T, D>>>::Epsilon,
max_relative: <Rotation<T, D> as AbsDiffEq<Rotation<T, D>>>::Epsilon
) -> bool
A test for equality that uses a relative comparison if the values are far apart.
fn relative_ne(
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
fn relative_ne(
&self,
other: &Rhs,
epsilon: Self::Epsilon,
max_relative: Self::Epsilon
) -> bool
The inverse of [RelativeEq::relative_eq
].
sourceimpl<T, const D: usize> SimdValue for Rotation<T, D> where
T: Scalar + SimdValue,
<T as SimdValue>::Element: Scalar,
impl<T, const D: usize> SimdValue for Rotation<T, D> where
T: Scalar + SimdValue,
<T as SimdValue>::Element: Scalar,
type Element = Rotation<<T as SimdValue>::Element, D>
type Element = Rotation<<T as SimdValue>::Element, D>
The type of the elements of each lane of this SIMD value.
type SimdBool = <T as SimdValue>::SimdBool
type SimdBool = <T as SimdValue>::SimdBool
Type of the result of comparing two SIMD values like self
.
sourcepub fn splat(val: <Rotation<T, D> as SimdValue>::Element) -> Rotation<T, D>
pub fn splat(val: <Rotation<T, D> as SimdValue>::Element) -> Rotation<T, D>
Initializes an SIMD value with each lanes set to val
.
sourcepub fn extract(&self, i: usize) -> <Rotation<T, D> as SimdValue>::Element
pub fn extract(&self, i: usize) -> <Rotation<T, D> as SimdValue>::Element
Extracts the i-th lane of self
. Read more
sourcepub unsafe fn extract_unchecked(
&self,
i: usize
) -> <Rotation<T, D> as SimdValue>::Element
pub unsafe fn extract_unchecked(
&self,
i: usize
) -> <Rotation<T, D> as SimdValue>::Element
Extracts the i-th lane of self
without bound-checking.
sourcepub fn replace(&mut self, i: usize, val: <Rotation<T, D> as SimdValue>::Element)
pub fn replace(&mut self, i: usize, val: <Rotation<T, D> as SimdValue>::Element)
Replaces the i-th lane of self
by val
. Read more
sourcepub unsafe fn replace_unchecked(
&mut self,
i: usize,
val: <Rotation<T, D> as SimdValue>::Element
)
pub unsafe fn replace_unchecked(
&mut self,
i: usize,
val: <Rotation<T, D> as SimdValue>::Element
)
Replaces the i-th lane of self
by val
without bound-checking.
sourcepub fn select(
self,
cond: <Rotation<T, D> as SimdValue>::SimdBool,
other: Rotation<T, D>
) -> Rotation<T, D>
pub fn select(
self,
cond: <Rotation<T, D> as SimdValue>::SimdBool,
other: Rotation<T, D>
) -> Rotation<T, D>
Merges self
and other
depending on the lanes of cond
. Read more
sourceimpl<T1, T2, R, const D: usize> SubsetOf<Isometry<T2, R, D>> for Rotation<T1, D> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T2, D> + SupersetOf<Rotation<T1, D>>,
impl<T1, T2, R, const D: usize> SubsetOf<Isometry<T2, R, D>> for Rotation<T1, D> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T2, D> + SupersetOf<Rotation<T1, D>>,
sourcepub fn to_superset(&self) -> Isometry<T2, R, D>
pub fn to_superset(&self) -> Isometry<T2, R, D>
The inclusion map: converts self
to the equivalent element of its superset.
sourcepub fn is_in_subset(iso: &Isometry<T2, R, D>) -> bool
pub fn is_in_subset(iso: &Isometry<T2, R, D>) -> bool
Checks if element
is actually part of the subset Self
(and can be converted to it).
sourcepub fn from_superset_unchecked(iso: &Isometry<T2, R, D>) -> Rotation<T1, D>
pub fn from_superset_unchecked(iso: &Isometry<T2, R, D>) -> Rotation<T1, D>
Use with care! Same as self.to_superset
but without any property checks. Always succeeds.
fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
sourceimpl<T1, T2, const D: usize> SubsetOf<Matrix<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer>> for Rotation<T1, D> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
Const<D>: DimNameAdd<Const<1_usize>>,
Const<D>: DimMin<Const<D>>,
DefaultAllocator: Allocator<T1, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
DefaultAllocator: Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
<Const<D> as DimMin<Const<D>>>::Output == Const<D>,
impl<T1, T2, const D: usize> SubsetOf<Matrix<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer>> for Rotation<T1, D> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
Const<D>: DimNameAdd<Const<1_usize>>,
Const<D>: DimMin<Const<D>>,
DefaultAllocator: Allocator<T1, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
DefaultAllocator: Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
<Const<D> as DimMin<Const<D>>>::Output == Const<D>,
sourcepub fn to_superset(
&self
) -> Matrix<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer>
pub fn to_superset(
&self
) -> Matrix<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer>
The inclusion map: converts self
to the equivalent element of its superset.
sourcepub fn is_in_subset(
m: &Matrix<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer>
) -> bool
pub fn is_in_subset(
m: &Matrix<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer>
) -> bool
Checks if element
is actually part of the subset Self
(and can be converted to it).
sourcepub fn from_superset_unchecked(
m: &Matrix<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer>
) -> Rotation<T1, D>
pub fn from_superset_unchecked(
m: &Matrix<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>>::Buffer>
) -> Rotation<T1, D>
Use with care! Same as self.to_superset
but without any property checks. Always succeeds.
fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
sourceimpl<T1, T2> SubsetOf<Rotation<T2, 2_usize>> for Unit<Complex<T1>> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
impl<T1, T2> SubsetOf<Rotation<T2, 2_usize>> for Unit<Complex<T1>> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
sourcepub fn to_superset(&self) -> Rotation<T2, 2_usize>
pub fn to_superset(&self) -> Rotation<T2, 2_usize>
The inclusion map: converts self
to the equivalent element of its superset.
sourcepub fn is_in_subset(rot: &Rotation<T2, 2_usize>) -> bool
pub fn is_in_subset(rot: &Rotation<T2, 2_usize>) -> bool
Checks if element
is actually part of the subset Self
(and can be converted to it).
sourcepub fn from_superset_unchecked(rot: &Rotation<T2, 2_usize>) -> Unit<Complex<T1>>
pub fn from_superset_unchecked(rot: &Rotation<T2, 2_usize>) -> Unit<Complex<T1>>
Use with care! Same as self.to_superset
but without any property checks. Always succeeds.
fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
sourceimpl<T1, T2> SubsetOf<Rotation<T2, 3_usize>> for Unit<Quaternion<T1>> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
impl<T1, T2> SubsetOf<Rotation<T2, 3_usize>> for Unit<Quaternion<T1>> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
sourcepub fn to_superset(&self) -> Rotation<T2, 3_usize>
pub fn to_superset(&self) -> Rotation<T2, 3_usize>
The inclusion map: converts self
to the equivalent element of its superset.
sourcepub fn is_in_subset(rot: &Rotation<T2, 3_usize>) -> bool
pub fn is_in_subset(rot: &Rotation<T2, 3_usize>) -> bool
Checks if element
is actually part of the subset Self
(and can be converted to it).
sourcepub fn from_superset_unchecked(
rot: &Rotation<T2, 3_usize>
) -> Unit<Quaternion<T1>>
pub fn from_superset_unchecked(
rot: &Rotation<T2, 3_usize>
) -> Unit<Quaternion<T1>>
Use with care! Same as self.to_superset
but without any property checks. Always succeeds.
fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
sourceimpl<T1, T2, const D: usize> SubsetOf<Rotation<T2, D>> for Rotation<T1, D> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
impl<T1, T2, const D: usize> SubsetOf<Rotation<T2, D>> for Rotation<T1, D> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
sourcepub fn to_superset(&self) -> Rotation<T2, D>
pub fn to_superset(&self) -> Rotation<T2, D>
The inclusion map: converts self
to the equivalent element of its superset.
sourcepub fn is_in_subset(rot: &Rotation<T2, D>) -> bool
pub fn is_in_subset(rot: &Rotation<T2, D>) -> bool
Checks if element
is actually part of the subset Self
(and can be converted to it).
sourcepub fn from_superset_unchecked(rot: &Rotation<T2, D>) -> Rotation<T1, D>
pub fn from_superset_unchecked(rot: &Rotation<T2, D>) -> Rotation<T1, D>
Use with care! Same as self.to_superset
but without any property checks. Always succeeds.
fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
sourceimpl<T1, T2, R, const D: usize> SubsetOf<Similarity<T2, R, D>> for Rotation<T1, D> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T2, D> + SupersetOf<Rotation<T1, D>>,
impl<T1, T2, R, const D: usize> SubsetOf<Similarity<T2, R, D>> for Rotation<T1, D> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T2, D> + SupersetOf<Rotation<T1, D>>,
sourcepub fn to_superset(&self) -> Similarity<T2, R, D>
pub fn to_superset(&self) -> Similarity<T2, R, D>
The inclusion map: converts self
to the equivalent element of its superset.
sourcepub fn is_in_subset(sim: &Similarity<T2, R, D>) -> bool
pub fn is_in_subset(sim: &Similarity<T2, R, D>) -> bool
Checks if element
is actually part of the subset Self
(and can be converted to it).
sourcepub fn from_superset_unchecked(sim: &Similarity<T2, R, D>) -> Rotation<T1, D>
pub fn from_superset_unchecked(sim: &Similarity<T2, R, D>) -> Rotation<T1, D>
Use with care! Same as self.to_superset
but without any property checks. Always succeeds.
fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
sourceimpl<T1, T2, C, const D: usize> SubsetOf<Transform<T2, C, D>> for Rotation<T1, D> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
C: SuperTCategoryOf<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
Const<D>: DimMin<Const<D>>,
DefaultAllocator: Allocator<T1, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
DefaultAllocator: Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
<Const<D> as DimMin<Const<D>>>::Output == Const<D>,
impl<T1, T2, C, const D: usize> SubsetOf<Transform<T2, C, D>> for Rotation<T1, D> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
C: SuperTCategoryOf<TAffine>,
Const<D>: DimNameAdd<Const<1_usize>>,
Const<D>: DimMin<Const<D>>,
DefaultAllocator: Allocator<T1, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
DefaultAllocator: Allocator<T2, <Const<D> as DimNameAdd<Const<1_usize>>>::Output, <Const<D> as DimNameAdd<Const<1_usize>>>::Output>,
<Const<D> as DimMin<Const<D>>>::Output == Const<D>,
sourcepub fn to_superset(&self) -> Transform<T2, C, D>
pub fn to_superset(&self) -> Transform<T2, C, D>
The inclusion map: converts self
to the equivalent element of its superset.
sourcepub fn is_in_subset(t: &Transform<T2, C, D>) -> bool
pub fn is_in_subset(t: &Transform<T2, C, D>) -> bool
Checks if element
is actually part of the subset Self
(and can be converted to it).
sourcepub fn from_superset_unchecked(t: &Transform<T2, C, D>) -> Rotation<T1, D>
pub fn from_superset_unchecked(t: &Transform<T2, C, D>) -> Rotation<T1, D>
Use with care! Same as self.to_superset
but without any property checks. Always succeeds.
fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
sourceimpl<T1, T2> SubsetOf<Unit<Complex<T2>>> for Rotation<T1, 2_usize> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
impl<T1, T2> SubsetOf<Unit<Complex<T2>>> for Rotation<T1, 2_usize> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
sourcepub fn to_superset(&self) -> Unit<Complex<T2>>
pub fn to_superset(&self) -> Unit<Complex<T2>>
The inclusion map: converts self
to the equivalent element of its superset.
sourcepub fn is_in_subset(q: &Unit<Complex<T2>>) -> bool
pub fn is_in_subset(q: &Unit<Complex<T2>>) -> bool
Checks if element
is actually part of the subset Self
(and can be converted to it).
sourcepub fn from_superset_unchecked(q: &Unit<Complex<T2>>) -> Rotation<T1, 2_usize>
pub fn from_superset_unchecked(q: &Unit<Complex<T2>>) -> Rotation<T1, 2_usize>
Use with care! Same as self.to_superset
but without any property checks. Always succeeds.
fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
sourceimpl<T1, T2> SubsetOf<Unit<DualQuaternion<T2>>> for Rotation<T1, 3_usize> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
impl<T1, T2> SubsetOf<Unit<DualQuaternion<T2>>> for Rotation<T1, 3_usize> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
sourcepub fn to_superset(&self) -> Unit<DualQuaternion<T2>>
pub fn to_superset(&self) -> Unit<DualQuaternion<T2>>
The inclusion map: converts self
to the equivalent element of its superset.
sourcepub fn is_in_subset(dq: &Unit<DualQuaternion<T2>>) -> bool
pub fn is_in_subset(dq: &Unit<DualQuaternion<T2>>) -> bool
Checks if element
is actually part of the subset Self
(and can be converted to it).
sourcepub fn from_superset_unchecked(
dq: &Unit<DualQuaternion<T2>>
) -> Rotation<T1, 3_usize>
pub fn from_superset_unchecked(
dq: &Unit<DualQuaternion<T2>>
) -> Rotation<T1, 3_usize>
Use with care! Same as self.to_superset
but without any property checks. Always succeeds.
fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
sourceimpl<T1, T2> SubsetOf<Unit<Quaternion<T2>>> for Rotation<T1, 3_usize> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
impl<T1, T2> SubsetOf<Unit<Quaternion<T2>>> for Rotation<T1, 3_usize> where
T1: RealField,
T2: RealField + SupersetOf<T1>,
sourcepub fn to_superset(&self) -> Unit<Quaternion<T2>>
pub fn to_superset(&self) -> Unit<Quaternion<T2>>
The inclusion map: converts self
to the equivalent element of its superset.
sourcepub fn is_in_subset(q: &Unit<Quaternion<T2>>) -> bool
pub fn is_in_subset(q: &Unit<Quaternion<T2>>) -> bool
Checks if element
is actually part of the subset Self
(and can be converted to it).
sourcepub fn from_superset_unchecked(
q: &Unit<Quaternion<T2>>
) -> Rotation<T1, 3_usize>
pub fn from_superset_unchecked(
q: &Unit<Quaternion<T2>>
) -> Rotation<T1, 3_usize>
Use with care! Same as self.to_superset
but without any property checks. Always succeeds.
fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
sourceimpl<T, const D: usize> UlpsEq<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + UlpsEq<T>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
impl<T, const D: usize> UlpsEq<Rotation<T, D>> for Rotation<T, D> where
T: Scalar + UlpsEq<T>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
sourcepub fn default_max_ulps() -> u32
pub fn default_max_ulps() -> u32
The default ULPs to tolerate when testing values that are far-apart. Read more
impl<T, const D: usize> Copy for Rotation<T, D> where
T: Copy,
impl<T, const D: usize> Eq for Rotation<T, D> where
T: Scalar + Eq,
Auto Trait Implementations
impl<T, const D: usize> RefUnwindSafe for Rotation<T, D> where
T: RefUnwindSafe,
impl<T, const D: usize> Send for Rotation<T, D> where
T: Send,
impl<T, const D: usize> Sync for Rotation<T, D> where
T: Sync,
impl<T, const D: usize> Unpin for Rotation<T, D> where
T: Unpin,
impl<T, const D: usize> UnwindSafe for Rotation<T, D> where
T: UnwindSafe,
Blanket Implementations
sourceimpl<T> BorrowMut<T> for T where
T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
const: unstable · sourcepub fn borrow_mut(&mut self) -> &mut T
pub fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
impl<T> Downcast for T where
T: Any,
impl<T> Downcast for T where
T: Any,
pub fn into_any(self: Box<T, Global>) -> Box<dyn Any + 'static, Global>
pub fn into_any(self: Box<T, Global>) -> Box<dyn Any + 'static, Global>
Convert Box<dyn Trait>
(where Trait: Downcast
) to Box<dyn Any>
. Box<dyn Any>
can
then be further downcast
into Box<ConcreteType>
where ConcreteType
implements Trait
. Read more
pub fn into_any_rc(self: Rc<T>) -> Rc<dyn Any + 'static>
pub fn into_any_rc(self: Rc<T>) -> Rc<dyn Any + 'static>
Convert Rc<Trait>
(where Trait: Downcast
) to Rc<Any>
. Rc<Any>
can then be
further downcast
into Rc<ConcreteType>
where ConcreteType
implements Trait
. Read more
pub fn as_any(&self) -> &(dyn Any + 'static)
pub fn as_any(&self) -> &(dyn Any + 'static)
Convert &Trait
(where Trait: Downcast
) to &Any
. This is needed since Rust cannot
generate &Any
’s vtable from &Trait
’s. Read more
pub fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)
pub fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)
Convert &mut Trait
(where Trait: Downcast
) to &Any
. This is needed since Rust cannot
generate &mut Any
’s vtable from &mut Trait
’s. Read more
impl<T> DynHash for T where
T: DynEq + Hash,
impl<T> DynHash for T where
T: DynEq + Hash,
sourceimpl<Q, K> Equivalent<K> for Q where
Q: Eq + ?Sized,
K: Borrow<Q> + ?Sized,
impl<Q, K> Equivalent<K> for Q where
Q: Eq + ?Sized,
K: Borrow<Q> + ?Sized,
sourcepub fn equivalent(&self, key: &K) -> bool
pub fn equivalent(&self, key: &K) -> bool
Compare self to key
and return true
if they are equal.
impl<T> FromWorld for T where
T: Default,
impl<T> FromWorld for T where
T: Default,
pub fn from_world(_world: &mut World) -> T
pub fn from_world(_world: &mut World) -> T
Creates Self
using data from the given [World]
sourceimpl<T> Instrument for T
impl<T> Instrument for T
sourcefn instrument(self, span: Span) -> Instrumented<Self>
fn instrument(self, span: Span) -> Instrumented<Self>
sourcefn in_current_span(self) -> Instrumented<Self>
fn in_current_span(self) -> Instrumented<Self>
impl<T> Pointable for T
impl<T> Pointable for T
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
pub fn to_subset(&self) -> Option<SS>
pub fn to_subset(&self) -> Option<SS>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
pub fn is_in_subset(&self) -> bool
pub fn is_in_subset(&self) -> bool
Checks if self
is actually part of its subset T
(and can be converted to it).
pub fn to_subset_unchecked(&self) -> SS
pub fn to_subset_unchecked(&self) -> SS
Use with care! Same as self.to_subset
but without any property checks. Always succeeds.
pub fn from_subset(element: &SS) -> SP
pub fn from_subset(element: &SS) -> SP
The inclusion map: converts self
to the equivalent element of its superset.
sourceimpl<T> ToOwned for T where
T: Clone,
impl<T> ToOwned for T where
T: Clone,
type Owned = T
type Owned = T
The resulting type after obtaining ownership.
sourcepub fn to_owned(&self) -> T
pub fn to_owned(&self) -> T
Creates owned data from borrowed data, usually by cloning. Read more
sourcepub fn clone_into(&self, target: &mut T)
pub fn clone_into(&self, target: &mut T)
toowned_clone_into
)Uses borrowed data to replace owned data, usually by cloning. Read more
impl<T> TypeData for T where
T: 'static + Send + Sync + Clone,
impl<T> TypeData for T where
T: 'static + Send + Sync + Clone,
pub fn clone_type_data(&self) -> Box<dyn TypeData + 'static, Global>
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
pub fn vzip(self) -> V
sourceimpl<T> WithSubscriber for T
impl<T> WithSubscriber for T
sourcefn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self> where
S: Into<Dispatch>,
fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self> where
S: Into<Dispatch>,
Attaches the provided Subscriber
to this type, returning a
WithDispatch
wrapper. Read more
sourcefn with_current_subscriber(self) -> WithDispatch<Self>
fn with_current_subscriber(self) -> WithDispatch<Self>
Attaches the current default Subscriber
to this type, returning a
WithDispatch
wrapper. Read more