pub struct Isometry<T, R, const D: usize> {
pub rotation: R,
pub translation: Translation<T, D>,
}
Expand description
A direct isometry, i.e., a rotation followed by a translation (aka. a rigid-body motion).
This is also known as an element of a Special Euclidean (SE) group.
The Isometry
type can either represent a 2D or 3D isometry.
A 2D isometry is composed of:
- A translation part of type
Translation2
- A rotation part which can either be a
UnitComplex
or aRotation2
. A 3D isometry is composed of: - A translation part of type
Translation3
- A rotation part which can either be a
UnitQuaternion
or aRotation3
.
Note that instead of using the Isometry
type in your code directly, you should use one
of its aliases: Isometry2
, Isometry3
,
IsometryMatrix2
, IsometryMatrix3
. Though
keep in mind that all the documentation of all the methods of these aliases will also appears on
this page.
Construction
- From a 2D vector and/or an angle
new
,translation
,rotation
… - From a 3D vector and/or an axis-angle
new
,translation
,rotation
… - From a 3D eye position and target point
look_at
,look_at_lh
,face_towards
… - From the translation and rotation parts
from_parts
…
Transformation and composition
Note that transforming vectors and points can be done by multiplication, e.g., isometry * point
.
Composing an isometry with another transformation can also be done by multiplication or division.
- Transformation of a vector or a point
transform_vector
,inverse_transform_point
… - Inversion and in-place composition
inverse
,append_rotation_wrt_point_mut
… - Interpolation
lerp_slerp
…
Conversion to a matrix
Fields
rotation: R
The pure rotational part of this isometry.
translation: Translation<T, D>
The pure translational part of this isometry.
Implementations
sourceimpl<T, R, const D: usize> Isometry<T, R, D>where
T: Scalar,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Isometry<T, R, D>where
T: Scalar,
R: AbstractRotation<T, D>,
sourcepub fn from_parts(
translation: Translation<T, D>,
rotation: R
) -> Isometry<T, R, D>
pub fn from_parts(
translation: Translation<T, D>,
rotation: R
) -> Isometry<T, R, D>
Creates a new isometry from its rotational and translational parts.
Example
let tra = Translation3::new(0.0, 0.0, 3.0);
let rot = UnitQuaternion::from_scaled_axis(Vector3::y() * f32::consts::PI);
let iso = Isometry3::from_parts(tra, rot);
assert_relative_eq!(iso * Point3::new(1.0, 2.0, 3.0), Point3::new(-1.0, 2.0, 0.0), epsilon = 1.0e-6);
sourceimpl<T, R, const D: usize> Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
<T as SimdValue>::Element: SimdRealField,
impl<T, R, const D: usize> Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn inverse(&self) -> Isometry<T, R, D>
pub fn inverse(&self) -> Isometry<T, R, D>
Inverts self
.
Example
let iso = Isometry2::new(Vector2::new(1.0, 2.0), f32::consts::FRAC_PI_2);
let inv = iso.inverse();
let pt = Point2::new(1.0, 2.0);
assert_eq!(inv * (iso * pt), pt);
sourcepub fn inverse_mut(&mut self)
pub fn inverse_mut(&mut self)
Inverts self
in-place.
Example
let mut iso = Isometry2::new(Vector2::new(1.0, 2.0), f32::consts::FRAC_PI_2);
let pt = Point2::new(1.0, 2.0);
let transformed_pt = iso * pt;
iso.inverse_mut();
assert_eq!(iso * transformed_pt, pt);
sourcepub fn inv_mul(&self, rhs: &Isometry<T, R, D>) -> Isometry<T, R, D>
pub fn inv_mul(&self, rhs: &Isometry<T, R, D>) -> Isometry<T, R, D>
Computes self.inverse() * rhs
in a more efficient way.
Example
let mut iso1 = Isometry2::new(Vector2::new(1.0, 2.0), f32::consts::FRAC_PI_2);
let mut iso2 = Isometry2::new(Vector2::new(10.0, 20.0), f32::consts::FRAC_PI_4);
assert_eq!(iso1.inverse() * iso2, iso1.inv_mul(&iso2));
sourcepub fn append_translation_mut(&mut self, t: &Translation<T, D>)
pub fn append_translation_mut(&mut self, t: &Translation<T, D>)
Appends to self
the given translation in-place.
Example
let mut iso = Isometry2::new(Vector2::new(1.0, 2.0), f32::consts::FRAC_PI_2);
let tra = Translation2::new(3.0, 4.0);
// Same as `iso = tra * iso`.
iso.append_translation_mut(&tra);
assert_eq!(iso.translation, Translation2::new(4.0, 6.0));
sourcepub fn append_rotation_mut(&mut self, r: &R)
pub fn append_rotation_mut(&mut self, r: &R)
Appends to self
the given rotation in-place.
Example
let mut iso = Isometry2::new(Vector2::new(1.0, 2.0), f32::consts::PI / 6.0);
let rot = UnitComplex::new(f32::consts::PI / 2.0);
// Same as `iso = rot * iso`.
iso.append_rotation_mut(&rot);
assert_relative_eq!(iso, Isometry2::new(Vector2::new(-2.0, 1.0), f32::consts::PI * 2.0 / 3.0), epsilon = 1.0e-6);
sourcepub fn append_rotation_wrt_point_mut(&mut self, r: &R, p: &OPoint<T, Const<D>>)
pub fn append_rotation_wrt_point_mut(&mut self, r: &R, p: &OPoint<T, Const<D>>)
Appends in-place to self
a rotation centered at the point p
, i.e., the rotation that
lets p
invariant.
Example
let mut iso = Isometry2::new(Vector2::new(1.0, 2.0), f32::consts::FRAC_PI_2);
let rot = UnitComplex::new(f32::consts::FRAC_PI_2);
let pt = Point2::new(1.0, 0.0);
iso.append_rotation_wrt_point_mut(&rot, &pt);
assert_relative_eq!(iso * pt, Point2::new(-2.0, 0.0), epsilon = 1.0e-6);
sourcepub fn append_rotation_wrt_center_mut(&mut self, r: &R)
pub fn append_rotation_wrt_center_mut(&mut self, r: &R)
Appends in-place to self
a rotation centered at the point with coordinates
self.translation
.
Example
let mut iso = Isometry2::new(Vector2::new(1.0, 2.0), f32::consts::FRAC_PI_2);
let rot = UnitComplex::new(f32::consts::FRAC_PI_2);
iso.append_rotation_wrt_center_mut(&rot);
// The translation part should not have changed.
assert_eq!(iso.translation.vector, Vector2::new(1.0, 2.0));
assert_eq!(iso.rotation, UnitComplex::new(f32::consts::PI));
sourceimpl<T, R, const D: usize> Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
<T as SimdValue>::Element: SimdRealField,
impl<T, R, const D: usize> Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
<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>>
Transform the given point by this isometry.
This is the same as the multiplication self * pt
.
Example
let tra = Translation3::new(0.0, 0.0, 3.0);
let rot = UnitQuaternion::from_scaled_axis(Vector3::y() * f32::consts::FRAC_PI_2);
let iso = Isometry3::from_parts(tra, rot);
let transformed_point = iso.transform_point(&Point3::new(1.0, 2.0, 3.0));
assert_relative_eq!(transformed_point, Point3::new(3.0, 2.0, 2.0), epsilon = 1.0e-6);
sourcepub fn transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
) -> Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
pub fn transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
) -> Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
Transform the given vector by this isometry, ignoring the translation component of the isometry.
This is the same as the multiplication self * v
.
Example
let tra = Translation3::new(0.0, 0.0, 3.0);
let rot = UnitQuaternion::from_scaled_axis(Vector3::y() * f32::consts::FRAC_PI_2);
let iso = Isometry3::from_parts(tra, rot);
let transformed_point = iso.transform_vector(&Vector3::new(1.0, 2.0, 3.0));
assert_relative_eq!(transformed_point, 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>>
Transform the given point by the inverse of this isometry. This may be less expensive than computing the entire isometry inverse and then transforming the point.
Example
let tra = Translation3::new(0.0, 0.0, 3.0);
let rot = UnitQuaternion::from_scaled_axis(Vector3::y() * f32::consts::FRAC_PI_2);
let iso = Isometry3::from_parts(tra, rot);
let transformed_point = iso.inverse_transform_point(&Point3::new(1.0, 2.0, 3.0));
assert_relative_eq!(transformed_point, Point3::new(0.0, 2.0, 1.0), epsilon = 1.0e-6);
sourcepub fn inverse_transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
) -> Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
pub fn inverse_transform_vector(
&self,
v: &Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
) -> Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
Transform the given vector by the inverse of this isometry, ignoring the translation component of the isometry. This may be less expensive than computing the entire isometry inverse and then transforming the point.
Example
let tra = Translation3::new(0.0, 0.0, 3.0);
let rot = UnitQuaternion::from_scaled_axis(Vector3::y() * f32::consts::FRAC_PI_2);
let iso = Isometry3::from_parts(tra, rot);
let transformed_point = iso.inverse_transform_vector(&Vector3::new(1.0, 2.0, 3.0));
assert_relative_eq!(transformed_point, 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>, ArrayStorage<T, D, 1>>>
) -> Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>
pub fn inverse_transform_unit_vector(
&self,
v: &Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>
) -> Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>
Transform the given unit vector by the inverse of this isometry, ignoring the translation component of the isometry. This may be less expensive than computing the entire isometry inverse and then transforming the point.
Example
let tra = Translation3::new(0.0, 0.0, 3.0);
let rot = UnitQuaternion::from_scaled_axis(Vector3::z() * f32::consts::FRAC_PI_2);
let iso = Isometry3::from_parts(tra, rot);
let transformed_point = iso.inverse_transform_unit_vector(&Vector3::x_axis());
assert_relative_eq!(transformed_point, -Vector3::y_axis(), epsilon = 1.0e-6);
sourceimpl<T, R, const D: usize> Isometry<T, R, D>where
T: SimdRealField,
impl<T, R, const D: usize> Isometry<T, R, D>where
T: SimdRealField,
sourcepub fn to_homogeneous(
&self
) -> Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>where
Const<D>: DimNameAdd<Const<1>>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
pub fn to_homogeneous(
&self
) -> Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>where
Const<D>: DimNameAdd<Const<1>>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
Converts this isometry into its equivalent homogeneous transformation matrix.
This is the same as self.to_matrix()
.
Example
let iso = Isometry2::new(Vector2::new(10.0, 20.0), f32::consts::FRAC_PI_6);
let expected = Matrix3::new(0.8660254, -0.5, 10.0,
0.5, 0.8660254, 20.0,
0.0, 0.0, 1.0);
assert_relative_eq!(iso.to_homogeneous(), expected, epsilon = 1.0e-6);
sourcepub fn to_matrix(
&self
) -> Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>where
Const<D>: DimNameAdd<Const<1>>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
pub fn to_matrix(
&self
) -> Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>where
Const<D>: DimNameAdd<Const<1>>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
Converts this isometry into its equivalent homogeneous transformation matrix.
This is the same as self.to_homogeneous()
.
Example
let iso = Isometry2::new(Vector2::new(10.0, 20.0), f32::consts::FRAC_PI_6);
let expected = Matrix3::new(0.8660254, -0.5, 10.0,
0.5, 0.8660254, 20.0,
0.0, 0.0, 1.0);
assert_relative_eq!(iso.to_matrix(), expected, epsilon = 1.0e-6);
sourceimpl<T, R, const D: usize> Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
<T as SimdValue>::Element: SimdRealField,
impl<T, R, const D: usize> Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn identity() -> Isometry<T, R, D>
pub fn identity() -> Isometry<T, R, D>
Creates a new identity isometry.
Example
let iso = Isometry2::identity();
let pt = Point2::new(1.0, 2.0);
assert_eq!(iso * pt, pt);
let iso = Isometry3::identity();
let pt = Point3::new(1.0, 2.0, 3.0);
assert_eq!(iso * pt, pt);
sourcepub fn rotation_wrt_point(r: R, p: OPoint<T, Const<D>>) -> Isometry<T, R, D>
pub fn rotation_wrt_point(r: R, p: OPoint<T, Const<D>>) -> Isometry<T, R, D>
The isometry that applies the rotation r
with its axis passing through the point p
.
This effectively lets p
invariant.
Example
let rot = UnitComplex::new(f32::consts::PI);
let pt = Point2::new(1.0, 0.0);
let iso = Isometry2::rotation_wrt_point(rot, pt);
assert_eq!(iso * pt, pt); // The rotation center is not affected.
assert_relative_eq!(iso * Point2::new(1.0, 2.0), Point2::new(1.0, -2.0), epsilon = 1.0e-6);
sourceimpl<T> Isometry<T, Rotation<T, 2>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Isometry<T, Rotation<T, 2>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn new(
translation: Matrix<T, Const<2>, Const<1>, ArrayStorage<T, 2, 1>>,
angle: T
) -> Isometry<T, Rotation<T, 2>, 2>
pub fn new(
translation: Matrix<T, Const<2>, Const<1>, ArrayStorage<T, 2, 1>>,
angle: T
) -> Isometry<T, Rotation<T, 2>, 2>
Creates a new 2D isometry from a translation and a rotation angle.
Its rotational part is represented as a 2x2 rotation matrix.
Example
let iso = Isometry2::new(Vector2::new(1.0, 2.0), f32::consts::FRAC_PI_2);
assert_eq!(iso * Point2::new(3.0, 4.0), Point2::new(-3.0, 5.0));
sourcepub fn translation(x: T, y: T) -> Isometry<T, Rotation<T, 2>, 2>
pub fn translation(x: T, y: T) -> Isometry<T, Rotation<T, 2>, 2>
Creates a new isometry from the given translation coordinates.
sourcepub fn rotation(angle: T) -> Isometry<T, Rotation<T, 2>, 2>
pub fn rotation(angle: T) -> Isometry<T, Rotation<T, 2>, 2>
Creates a new isometry from the given rotation angle.
sourcepub fn cast<To>(self) -> Isometry<To, Rotation<To, 2>, 2>where
To: Scalar,
Isometry<To, Rotation<To, 2>, 2>: SupersetOf<Isometry<T, Rotation<T, 2>, 2>>,
pub fn cast<To>(self) -> Isometry<To, Rotation<To, 2>, 2>where
To: Scalar,
Isometry<To, Rotation<To, 2>, 2>: SupersetOf<Isometry<T, Rotation<T, 2>, 2>>,
Cast the components of self
to another type.
Example
let iso = IsometryMatrix2::<f64>::identity();
let iso2 = iso.cast::<f32>();
assert_eq!(iso2, IsometryMatrix2::<f32>::identity());
sourceimpl<T> Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn new(
translation: Matrix<T, Const<2>, Const<1>, ArrayStorage<T, 2, 1>>,
angle: T
) -> Isometry<T, Unit<Complex<T>>, 2>
pub fn new(
translation: Matrix<T, Const<2>, Const<1>, ArrayStorage<T, 2, 1>>,
angle: T
) -> Isometry<T, Unit<Complex<T>>, 2>
Creates a new 2D isometry from a translation and a rotation angle.
Its rotational part is represented as an unit complex number.
Example
let iso = IsometryMatrix2::new(Vector2::new(1.0, 2.0), f32::consts::FRAC_PI_2);
assert_eq!(iso * Point2::new(3.0, 4.0), Point2::new(-3.0, 5.0));
sourcepub fn translation(x: T, y: T) -> Isometry<T, Unit<Complex<T>>, 2>
pub fn translation(x: T, y: T) -> Isometry<T, Unit<Complex<T>>, 2>
Creates a new isometry from the given translation coordinates.
sourcepub fn rotation(angle: T) -> Isometry<T, Unit<Complex<T>>, 2>
pub fn rotation(angle: T) -> Isometry<T, Unit<Complex<T>>, 2>
Creates a new isometry from the given rotation angle.
sourcepub fn cast<To>(self) -> Isometry<To, Unit<Complex<To>>, 2>where
To: Scalar,
Isometry<To, Unit<Complex<To>>, 2>: SupersetOf<Isometry<T, Unit<Complex<T>>, 2>>,
pub fn cast<To>(self) -> Isometry<To, Unit<Complex<To>>, 2>where
To: Scalar,
Isometry<To, Unit<Complex<To>>, 2>: SupersetOf<Isometry<T, Unit<Complex<T>>, 2>>,
Cast the components of self
to another type.
Example
let iso = Isometry2::<f64>::identity();
let iso2 = iso.cast::<f32>();
assert_eq!(iso2, Isometry2::<f32>::identity());
sourceimpl<T> Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn new(
translation: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>,
axisangle: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
pub fn new(
translation: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>,
axisangle: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
Creates a new isometry from a translation and a rotation axis-angle.
Example
let axisangle = Vector3::y() * f32::consts::FRAC_PI_2;
let translation = Vector3::new(1.0, 2.0, 3.0);
// 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);
// Isometry with its rotation part represented as a UnitQuaternion
let iso = Isometry3::new(translation, axisangle);
assert_relative_eq!(iso * pt, Point3::new(7.0, 7.0, -1.0), epsilon = 1.0e-6);
assert_relative_eq!(iso * vec, Vector3::new(6.0, 5.0, -4.0), epsilon = 1.0e-6);
// Isometry with its rotation part represented as a Rotation3 (a 3x3 rotation matrix).
let iso = IsometryMatrix3::new(translation, axisangle);
assert_relative_eq!(iso * pt, Point3::new(7.0, 7.0, -1.0), epsilon = 1.0e-6);
assert_relative_eq!(iso * vec, Vector3::new(6.0, 5.0, -4.0), epsilon = 1.0e-6);
sourcepub fn translation(x: T, y: T, z: T) -> Isometry<T, Unit<Quaternion<T>>, 3>
pub fn translation(x: T, y: T, z: T) -> Isometry<T, Unit<Quaternion<T>>, 3>
Creates a new isometry from the given translation coordinates.
sourcepub fn rotation(
axisangle: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
pub fn rotation(
axisangle: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
Creates a new isometry from the given rotation angle.
sourcepub fn cast<To>(self) -> Isometry<To, Unit<Quaternion<To>>, 3>where
To: Scalar,
Isometry<To, Unit<Quaternion<To>>, 3>: SupersetOf<Isometry<T, Unit<Quaternion<T>>, 3>>,
pub fn cast<To>(self) -> Isometry<To, Unit<Quaternion<To>>, 3>where
To: Scalar,
Isometry<To, Unit<Quaternion<To>>, 3>: SupersetOf<Isometry<T, Unit<Quaternion<T>>, 3>>,
Cast the components of self
to another type.
Example
let iso = Isometry3::<f64>::identity();
let iso2 = iso.cast::<f32>();
assert_eq!(iso2, Isometry3::<f32>::identity());
sourceimpl<T> Isometry<T, Rotation<T, 3>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Isometry<T, Rotation<T, 3>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn new(
translation: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>,
axisangle: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
pub fn new(
translation: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>,
axisangle: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
Creates a new isometry from a translation and a rotation axis-angle.
Example
let axisangle = Vector3::y() * f32::consts::FRAC_PI_2;
let translation = Vector3::new(1.0, 2.0, 3.0);
// 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);
// Isometry with its rotation part represented as a UnitQuaternion
let iso = Isometry3::new(translation, axisangle);
assert_relative_eq!(iso * pt, Point3::new(7.0, 7.0, -1.0), epsilon = 1.0e-6);
assert_relative_eq!(iso * vec, Vector3::new(6.0, 5.0, -4.0), epsilon = 1.0e-6);
// Isometry with its rotation part represented as a Rotation3 (a 3x3 rotation matrix).
let iso = IsometryMatrix3::new(translation, axisangle);
assert_relative_eq!(iso * pt, Point3::new(7.0, 7.0, -1.0), epsilon = 1.0e-6);
assert_relative_eq!(iso * vec, Vector3::new(6.0, 5.0, -4.0), epsilon = 1.0e-6);
sourcepub fn translation(x: T, y: T, z: T) -> Isometry<T, Rotation<T, 3>, 3>
pub fn translation(x: T, y: T, z: T) -> Isometry<T, Rotation<T, 3>, 3>
Creates a new isometry from the given translation coordinates.
sourcepub fn rotation(
axisangle: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
pub fn rotation(
axisangle: Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
Creates a new isometry from the given rotation angle.
sourcepub fn cast<To>(self) -> Isometry<To, Rotation<To, 3>, 3>where
To: Scalar,
Isometry<To, Rotation<To, 3>, 3>: SupersetOf<Isometry<T, Rotation<T, 3>, 3>>,
pub fn cast<To>(self) -> Isometry<To, Rotation<To, 3>, 3>where
To: Scalar,
Isometry<To, Rotation<To, 3>, 3>: SupersetOf<Isometry<T, Rotation<T, 3>, 3>>,
Cast the components of self
to another type.
Example
let iso = IsometryMatrix3::<f64>::identity();
let iso2 = iso.cast::<f32>();
assert_eq!(iso2, IsometryMatrix3::<f32>::identity());
sourceimpl<T> Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn face_towards(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
pub fn face_towards(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
Creates an isometry that corresponds to the local frame of an observer standing at the
point eye
and looking toward target
.
It maps the z
axis to the view direction target - eye
and the origin to the eye
.
Arguments
- eye - The observer position.
- target - The target position.
- up - Vertical direction. The only requirement of this parameter is to not be collinear
to
eye - at
. Non-collinearity is not checked.
Example
let eye = Point3::new(1.0, 2.0, 3.0);
let target = Point3::new(2.0, 2.0, 3.0);
let up = Vector3::y();
// Isometry with its rotation part represented as a UnitQuaternion
let iso = Isometry3::face_towards(&eye, &target, &up);
assert_eq!(iso * Point3::origin(), eye);
assert_relative_eq!(iso * Vector3::z(), Vector3::x());
// Isometry with its rotation part represented as Rotation3 (a 3x3 rotation matrix).
let iso = IsometryMatrix3::face_towards(&eye, &target, &up);
assert_eq!(iso * Point3::origin(), eye);
assert_relative_eq!(iso * Vector3::z(), Vector3::x());
sourcepub fn new_observer_frame(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
👎Deprecated: renamed to face_towards
pub fn new_observer_frame(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
face_towards
Deprecated: Use Isometry::face_towards
instead.
sourcepub fn look_at_rh(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
pub fn look_at_rh(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
Builds a right-handed look-at view matrix.
It maps the view direction target - eye
to the negative z
axis to and the eye
to the origin.
This conforms to the common notion of right handed camera look-at view matrix from
the computer graphics community, i.e. the camera is assumed to look toward its local -z
axis.
Arguments
- eye - The eye position.
- target - The target position.
- up - A vector approximately aligned with required the vertical axis. The only
requirement of this parameter is to not be collinear to
target - eye
.
Example
let eye = Point3::new(1.0, 2.0, 3.0);
let target = Point3::new(2.0, 2.0, 3.0);
let up = Vector3::y();
// Isometry with its rotation part represented as a UnitQuaternion
let iso = Isometry3::look_at_rh(&eye, &target, &up);
assert_eq!(iso * eye, Point3::origin());
assert_relative_eq!(iso * Vector3::x(), -Vector3::z());
// Isometry with its rotation part represented as Rotation3 (a 3x3 rotation matrix).
let iso = IsometryMatrix3::look_at_rh(&eye, &target, &up);
assert_eq!(iso * eye, Point3::origin());
assert_relative_eq!(iso * Vector3::x(), -Vector3::z());
sourcepub fn look_at_lh(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
pub fn look_at_lh(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Unit<Quaternion<T>>, 3>
Builds a left-handed look-at view matrix.
It maps the view direction target - eye
to the positive z
axis and the eye
to the origin.
This conforms to the common notion of right handed camera look-at view matrix from
the computer graphics community, i.e. the camera is assumed to look toward its local z
axis.
Arguments
- eye - The eye position.
- target - The target position.
- up - A vector approximately aligned with required the vertical axis. The only
requirement of this parameter is to not be collinear to
target - eye
.
Example
let eye = Point3::new(1.0, 2.0, 3.0);
let target = Point3::new(2.0, 2.0, 3.0);
let up = Vector3::y();
// Isometry with its rotation part represented as a UnitQuaternion
let iso = Isometry3::look_at_lh(&eye, &target, &up);
assert_eq!(iso * eye, Point3::origin());
assert_relative_eq!(iso * Vector3::x(), Vector3::z());
// Isometry with its rotation part represented as Rotation3 (a 3x3 rotation matrix).
let iso = IsometryMatrix3::look_at_lh(&eye, &target, &up);
assert_eq!(iso * eye, Point3::origin());
assert_relative_eq!(iso * Vector3::x(), Vector3::z());
sourceimpl<T> Isometry<T, Rotation<T, 3>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Isometry<T, Rotation<T, 3>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcepub fn face_towards(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
pub fn face_towards(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
Creates an isometry that corresponds to the local frame of an observer standing at the
point eye
and looking toward target
.
It maps the z
axis to the view direction target - eye
and the origin to the eye
.
Arguments
- eye - The observer position.
- target - The target position.
- up - Vertical direction. The only requirement of this parameter is to not be collinear
to
eye - at
. Non-collinearity is not checked.
Example
let eye = Point3::new(1.0, 2.0, 3.0);
let target = Point3::new(2.0, 2.0, 3.0);
let up = Vector3::y();
// Isometry with its rotation part represented as a UnitQuaternion
let iso = Isometry3::face_towards(&eye, &target, &up);
assert_eq!(iso * Point3::origin(), eye);
assert_relative_eq!(iso * Vector3::z(), Vector3::x());
// Isometry with its rotation part represented as Rotation3 (a 3x3 rotation matrix).
let iso = IsometryMatrix3::face_towards(&eye, &target, &up);
assert_eq!(iso * Point3::origin(), eye);
assert_relative_eq!(iso * Vector3::z(), Vector3::x());
sourcepub fn new_observer_frame(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
👎Deprecated: renamed to face_towards
pub fn new_observer_frame(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
face_towards
Deprecated: Use Isometry::face_towards
instead.
sourcepub fn look_at_rh(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
pub fn look_at_rh(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
Builds a right-handed look-at view matrix.
It maps the view direction target - eye
to the negative z
axis to and the eye
to the origin.
This conforms to the common notion of right handed camera look-at view matrix from
the computer graphics community, i.e. the camera is assumed to look toward its local -z
axis.
Arguments
- eye - The eye position.
- target - The target position.
- up - A vector approximately aligned with required the vertical axis. The only
requirement of this parameter is to not be collinear to
target - eye
.
Example
let eye = Point3::new(1.0, 2.0, 3.0);
let target = Point3::new(2.0, 2.0, 3.0);
let up = Vector3::y();
// Isometry with its rotation part represented as a UnitQuaternion
let iso = Isometry3::look_at_rh(&eye, &target, &up);
assert_eq!(iso * eye, Point3::origin());
assert_relative_eq!(iso * Vector3::x(), -Vector3::z());
// Isometry with its rotation part represented as Rotation3 (a 3x3 rotation matrix).
let iso = IsometryMatrix3::look_at_rh(&eye, &target, &up);
assert_eq!(iso * eye, Point3::origin());
assert_relative_eq!(iso * Vector3::x(), -Vector3::z());
sourcepub fn look_at_lh(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
pub fn look_at_lh(
eye: &OPoint<T, Const<3>>,
target: &OPoint<T, Const<3>>,
up: &Matrix<T, Const<3>, Const<1>, ArrayStorage<T, 3, 1>>
) -> Isometry<T, Rotation<T, 3>, 3>
Builds a left-handed look-at view matrix.
It maps the view direction target - eye
to the positive z
axis and the eye
to the origin.
This conforms to the common notion of right handed camera look-at view matrix from
the computer graphics community, i.e. the camera is assumed to look toward its local z
axis.
Arguments
- eye - The eye position.
- target - The target position.
- up - A vector approximately aligned with required the vertical axis. The only
requirement of this parameter is to not be collinear to
target - eye
.
Example
let eye = Point3::new(1.0, 2.0, 3.0);
let target = Point3::new(2.0, 2.0, 3.0);
let up = Vector3::y();
// Isometry with its rotation part represented as a UnitQuaternion
let iso = Isometry3::look_at_lh(&eye, &target, &up);
assert_eq!(iso * eye, Point3::origin());
assert_relative_eq!(iso * Vector3::x(), Vector3::z());
// Isometry with its rotation part represented as Rotation3 (a 3x3 rotation matrix).
let iso = IsometryMatrix3::look_at_lh(&eye, &target, &up);
assert_eq!(iso * eye, Point3::origin());
assert_relative_eq!(iso * Vector3::x(), Vector3::z());
sourceimpl<T> Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
impl<T> Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
sourcepub fn lerp_slerp(
&self,
other: &Isometry<T, Unit<Quaternion<T>>, 3>,
t: T
) -> Isometry<T, Unit<Quaternion<T>>, 3>where
T: RealField,
pub fn lerp_slerp(
&self,
other: &Isometry<T, Unit<Quaternion<T>>, 3>,
t: T
) -> Isometry<T, Unit<Quaternion<T>>, 3>where
T: RealField,
Interpolates between two isometries using a linear interpolation for the translation part, and a spherical interpolation for the rotation part.
Panics if the angle between both rotations is 180 degrees (in which case the interpolation
is not well-defined). Use .try_lerp_slerp
instead to avoid the panic.
Examples:
let t1 = Translation3::new(1.0, 2.0, 3.0);
let t2 = Translation3::new(4.0, 8.0, 12.0);
let q1 = UnitQuaternion::from_euler_angles(std::f32::consts::FRAC_PI_4, 0.0, 0.0);
let q2 = UnitQuaternion::from_euler_angles(-std::f32::consts::PI, 0.0, 0.0);
let iso1 = Isometry3::from_parts(t1, q1);
let iso2 = Isometry3::from_parts(t2, q2);
let iso3 = iso1.lerp_slerp(&iso2, 1.0 / 3.0);
assert_eq!(iso3.translation.vector, Vector3::new(2.0, 4.0, 6.0));
assert_eq!(iso3.rotation.euler_angles(), (std::f32::consts::FRAC_PI_2, 0.0, 0.0));
sourcepub fn try_lerp_slerp(
&self,
other: &Isometry<T, Unit<Quaternion<T>>, 3>,
t: T,
epsilon: T
) -> Option<Isometry<T, Unit<Quaternion<T>>, 3>>where
T: RealField,
pub fn try_lerp_slerp(
&self,
other: &Isometry<T, Unit<Quaternion<T>>, 3>,
t: T,
epsilon: T
) -> Option<Isometry<T, Unit<Quaternion<T>>, 3>>where
T: RealField,
Attempts to interpolate between two isometries using a linear interpolation for the translation part, and a spherical interpolation for the rotation part.
Retuns None
if the angle between both rotations is 180 degrees (in which case the interpolation
is not well-defined).
Examples:
let t1 = Translation3::new(1.0, 2.0, 3.0);
let t2 = Translation3::new(4.0, 8.0, 12.0);
let q1 = UnitQuaternion::from_euler_angles(std::f32::consts::FRAC_PI_4, 0.0, 0.0);
let q2 = UnitQuaternion::from_euler_angles(-std::f32::consts::PI, 0.0, 0.0);
let iso1 = Isometry3::from_parts(t1, q1);
let iso2 = Isometry3::from_parts(t2, q2);
let iso3 = iso1.lerp_slerp(&iso2, 1.0 / 3.0);
assert_eq!(iso3.translation.vector, Vector3::new(2.0, 4.0, 6.0));
assert_eq!(iso3.rotation.euler_angles(), (std::f32::consts::FRAC_PI_2, 0.0, 0.0));
sourceimpl<T> Isometry<T, Rotation<T, 3>, 3>where
T: SimdRealField,
impl<T> Isometry<T, Rotation<T, 3>, 3>where
T: SimdRealField,
sourcepub fn lerp_slerp(
&self,
other: &Isometry<T, Rotation<T, 3>, 3>,
t: T
) -> Isometry<T, Rotation<T, 3>, 3>where
T: RealField,
pub fn lerp_slerp(
&self,
other: &Isometry<T, Rotation<T, 3>, 3>,
t: T
) -> Isometry<T, Rotation<T, 3>, 3>where
T: RealField,
Interpolates between two isometries using a linear interpolation for the translation part, and a spherical interpolation for the rotation part.
Panics if the angle between both rotations is 180 degrees (in which case the interpolation
is not well-defined). Use .try_lerp_slerp
instead to avoid the panic.
Examples:
let t1 = Translation3::new(1.0, 2.0, 3.0);
let t2 = Translation3::new(4.0, 8.0, 12.0);
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 iso1 = IsometryMatrix3::from_parts(t1, q1);
let iso2 = IsometryMatrix3::from_parts(t2, q2);
let iso3 = iso1.lerp_slerp(&iso2, 1.0 / 3.0);
assert_eq!(iso3.translation.vector, Vector3::new(2.0, 4.0, 6.0));
assert_eq!(iso3.rotation.euler_angles(), (std::f32::consts::FRAC_PI_2, 0.0, 0.0));
sourcepub fn try_lerp_slerp(
&self,
other: &Isometry<T, Rotation<T, 3>, 3>,
t: T,
epsilon: T
) -> Option<Isometry<T, Rotation<T, 3>, 3>>where
T: RealField,
pub fn try_lerp_slerp(
&self,
other: &Isometry<T, Rotation<T, 3>, 3>,
t: T,
epsilon: T
) -> Option<Isometry<T, Rotation<T, 3>, 3>>where
T: RealField,
Attempts to interpolate between two isometries using a linear interpolation for the translation part, and a spherical interpolation for the rotation part.
Retuns None
if the angle between both rotations is 180 degrees (in which case the interpolation
is not well-defined).
Examples:
let t1 = Translation3::new(1.0, 2.0, 3.0);
let t2 = Translation3::new(4.0, 8.0, 12.0);
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 iso1 = IsometryMatrix3::from_parts(t1, q1);
let iso2 = IsometryMatrix3::from_parts(t2, q2);
let iso3 = iso1.lerp_slerp(&iso2, 1.0 / 3.0);
assert_eq!(iso3.translation.vector, Vector3::new(2.0, 4.0, 6.0));
assert_eq!(iso3.rotation.euler_angles(), (std::f32::consts::FRAC_PI_2, 0.0, 0.0));
sourceimpl<T> Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
impl<T> Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
sourcepub fn lerp_slerp(
&self,
other: &Isometry<T, Unit<Complex<T>>, 2>,
t: T
) -> Isometry<T, Unit<Complex<T>>, 2>where
T: RealField,
pub fn lerp_slerp(
&self,
other: &Isometry<T, Unit<Complex<T>>, 2>,
t: T
) -> Isometry<T, Unit<Complex<T>>, 2>where
T: RealField,
Interpolates between two isometries using a linear interpolation for the translation part, and a spherical interpolation for the rotation part.
Panics if the angle between both rotations is 180 degrees (in which case the interpolation
is not well-defined). Use .try_lerp_slerp
instead to avoid the panic.
Examples:
let t1 = Translation2::new(1.0, 2.0);
let t2 = Translation2::new(4.0, 8.0);
let q1 = UnitComplex::new(std::f32::consts::FRAC_PI_4);
let q2 = UnitComplex::new(-std::f32::consts::PI);
let iso1 = Isometry2::from_parts(t1, q1);
let iso2 = Isometry2::from_parts(t2, q2);
let iso3 = iso1.lerp_slerp(&iso2, 1.0 / 3.0);
assert_eq!(iso3.translation.vector, Vector2::new(2.0, 4.0));
assert_relative_eq!(iso3.rotation.angle(), std::f32::consts::FRAC_PI_2);
sourceimpl<T> Isometry<T, Rotation<T, 2>, 2>where
T: SimdRealField,
impl<T> Isometry<T, Rotation<T, 2>, 2>where
T: SimdRealField,
sourcepub fn lerp_slerp(
&self,
other: &Isometry<T, Rotation<T, 2>, 2>,
t: T
) -> Isometry<T, Rotation<T, 2>, 2>where
T: RealField,
pub fn lerp_slerp(
&self,
other: &Isometry<T, Rotation<T, 2>, 2>,
t: T
) -> Isometry<T, Rotation<T, 2>, 2>where
T: RealField,
Interpolates between two isometries using a linear interpolation for the translation part, and a spherical interpolation for the rotation part.
Panics if the angle between both rotations is 180 degrees (in which case the interpolation
is not well-defined). Use .try_lerp_slerp
instead to avoid the panic.
Examples:
let t1 = Translation2::new(1.0, 2.0);
let t2 = Translation2::new(4.0, 8.0);
let q1 = Rotation2::new(std::f32::consts::FRAC_PI_4);
let q2 = Rotation2::new(-std::f32::consts::PI);
let iso1 = IsometryMatrix2::from_parts(t1, q1);
let iso2 = IsometryMatrix2::from_parts(t2, q2);
let iso3 = iso1.lerp_slerp(&iso2, 1.0 / 3.0);
assert_eq!(iso3.translation.vector, Vector2::new(2.0, 4.0));
assert_relative_eq!(iso3.rotation.angle(), std::f32::consts::FRAC_PI_2);
Trait Implementations
sourceimpl<T, R, const D: usize> AbsDiffEq<Isometry<T, R, D>> for Isometry<T, R, D>where
T: RealField,
R: AbstractRotation<T, D> + AbsDiffEq<R, Epsilon = <T as AbsDiffEq<T>>::Epsilon>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
impl<T, R, const D: usize> AbsDiffEq<Isometry<T, R, D>> for Isometry<T, R, D>where
T: RealField,
R: AbstractRotation<T, D> + AbsDiffEq<R, Epsilon = <T as AbsDiffEq<T>>::Epsilon>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
type Epsilon = <T as AbsDiffEq<T>>::Epsilon
type Epsilon = <T as AbsDiffEq<T>>::Epsilon
sourcefn default_epsilon(
) -> <Isometry<T, R, D> as AbsDiffEq<Isometry<T, R, D>>>::Epsilon
fn default_epsilon(
) -> <Isometry<T, R, D> as AbsDiffEq<Isometry<T, R, D>>>::Epsilon
sourcefn abs_diff_eq(
&self,
other: &Isometry<T, R, D>,
epsilon: <Isometry<T, R, D> as AbsDiffEq<Isometry<T, R, D>>>::Epsilon
) -> bool
fn abs_diff_eq(
&self,
other: &Isometry<T, R, D>,
epsilon: <Isometry<T, R, D> as AbsDiffEq<Isometry<T, R, D>>>::Epsilon
) -> bool
fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool
fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool
AbsDiffEq::abs_diff_eq
].impl AsMut<Isometry<f32, Unit<Quaternion<f32>>, 3>> for ColliderPosition
impl AsMut<Isometry<f32, Unit<Quaternion<f32>>, 3>> for ColliderPosition
impl AsRef<Isometry<f32, Unit<Quaternion<f32>>, 3>> for ColliderPosition
impl AsRef<Isometry<f32, Unit<Quaternion<f32>>, 3>> for ColliderPosition
sourceimpl<T, R, const D: usize> Default for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
<T as SimdValue>::Element: SimdRealField,
impl<T, R, const D: usize> Default for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, R, const D: usize> Display for Isometry<T, R, D>where
T: RealField + Display,
R: Display,
impl<T, R, const D: usize> Display for Isometry<T, R, D>where
T: RealField + Display,
R: Display,
sourceimpl<'a, 'b, T, R, const D: usize> Div<&'b Isometry<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Div<&'b Isometry<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'a, 'b, T, R, const D: usize> Div<&'b Isometry<T, R, D>> for &'a Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Div<&'b Isometry<T, R, D>> for &'a Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
/
operator.sourceimpl<'b, T, R, const D: usize> Div<&'b Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Div<&'b Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'b, T, R, const D: usize> Div<&'b Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Div<&'b Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
/
operator.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<'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> Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
/
operator.sourcefn div(
self,
rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<DualQuaternion<T>> as Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn div(
self,
rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<DualQuaternion<T>> as Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
/
operation. Read moresourceimpl<'a, 'b, T> Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
/
operator.sourcefn div(
self,
right: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<Quaternion<T>> as Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn div(
self,
right: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<Quaternion<T>> as Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
/
operation. Read moresourceimpl<'b, T> Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
/
operator.sourcefn div(
self,
rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<DualQuaternion<T>> as Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn div(
self,
rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<DualQuaternion<T>> as Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
/
operation. Read moresourceimpl<'b, T> Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
/
operator.sourcefn div(
self,
right: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<Quaternion<T>> as Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn div(
self,
right: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<Quaternion<T>> as Div<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
/
operation. Read moresourceimpl<'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<'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<'a, 'b, T, R, const D: usize> Div<&'b Similarity<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Div<&'b Similarity<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
/
operator.sourcefn div(
self,
rhs: &'b Similarity<T, R, D>
) -> <&'a Isometry<T, R, D> as Div<&'b Similarity<T, R, D>>>::Output
fn div(
self,
rhs: &'b Similarity<T, R, D>
) -> <&'a Isometry<T, R, D> as Div<&'b Similarity<T, R, D>>>::Output
/
operation. Read moresourceimpl<'b, T, R, const D: usize> Div<&'b Similarity<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Div<&'b Similarity<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
/
operator.sourcefn div(
self,
rhs: &'b Similarity<T, R, D>
) -> <Isometry<T, R, D> as Div<&'b Similarity<T, R, D>>>::Output
fn div(
self,
rhs: &'b Similarity<T, R, D>
) -> <Isometry<T, R, D> as Div<&'b Similarity<T, R, D>>>::Output
/
operation. Read moresourceimpl<'a, 'b, T> Div<&'b Unit<Complex<T>>> for &'a Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Div<&'b Unit<Complex<T>>> for &'a Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T> Div<&'b Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Div<&'b Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T> Div<&'b Unit<DualQuaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Div<&'b Unit<DualQuaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
/
operator.sourcefn div(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Div<&'b Unit<DualQuaternion<T>>>>::Output
fn div(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Div<&'b Unit<DualQuaternion<T>>>>::Output
/
operation. Read moresourceimpl<'b, T> Div<&'b Unit<DualQuaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Div<&'b Unit<DualQuaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
/
operator.sourcefn div(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Div<&'b Unit<DualQuaternion<T>>>>::Output
fn div(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Div<&'b Unit<DualQuaternion<T>>>>::Output
/
operation. Read moresourceimpl<'a, 'b, T> Div<&'b Unit<Quaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Div<&'b Unit<Quaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
/
operator.sourcefn div(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Div<&'b Unit<Quaternion<T>>>>::Output
fn div(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Div<&'b Unit<Quaternion<T>>>>::Output
/
operation. Read moresourceimpl<'b, T> Div<&'b Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Div<&'b Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
/
operator.sourcefn div(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Div<&'b Unit<Quaternion<T>>>>::Output
fn div(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Div<&'b Unit<Quaternion<T>>>>::Output
/
operation. Read moresourceimpl<'a, T, R, const D: usize> Div<Isometry<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Div<Isometry<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'a, T, R, const D: usize> Div<Isometry<T, R, D>> for &'a Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Div<Isometry<T, R, D>> for &'a Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
/
operator.sourceimpl<T, R, const D: usize> Div<Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Div<Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<T, R, const D: usize> Div<Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Div<Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
/
operator.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<Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Div<Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
/
operator.sourcefn div(
self,
rhs: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<DualQuaternion<T>> as Div<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn div(
self,
rhs: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<DualQuaternion<T>> as Div<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
/
operation. Read moresourceimpl<'a, T> Div<Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Div<Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
/
operator.sourcefn div(
self,
right: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<Quaternion<T>> as Div<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn div(
self,
right: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<Quaternion<T>> as Div<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
/
operation. Read moresourceimpl<T> Div<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Div<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
/
operator.sourcefn div(
self,
rhs: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<DualQuaternion<T>> as Div<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn div(
self,
rhs: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<DualQuaternion<T>> as Div<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
/
operation. Read moresourceimpl<T> Div<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Div<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
/
operator.sourcefn div(
self,
right: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<Quaternion<T>> as Div<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn div(
self,
right: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<Quaternion<T>> as Div<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
/
operation. Read moresourceimpl<'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 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<'a, T, R, const D: usize> Div<Similarity<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Div<Similarity<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
/
operator.sourcefn div(
self,
rhs: Similarity<T, R, D>
) -> <&'a Isometry<T, R, D> as Div<Similarity<T, R, D>>>::Output
fn div(
self,
rhs: Similarity<T, R, D>
) -> <&'a Isometry<T, R, D> as Div<Similarity<T, R, D>>>::Output
/
operation. Read moresourceimpl<T, R, const D: usize> Div<Similarity<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Div<Similarity<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
/
operator.sourcefn div(
self,
rhs: Similarity<T, R, D>
) -> <Isometry<T, R, D> as Div<Similarity<T, R, D>>>::Output
fn div(
self,
rhs: Similarity<T, R, D>
) -> <Isometry<T, R, D> as Div<Similarity<T, R, D>>>::Output
/
operation. Read moresourceimpl<'a, T> Div<Unit<Complex<T>>> for &'a Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Div<Unit<Complex<T>>> for &'a Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T> Div<Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Div<Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T> Div<Unit<DualQuaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Div<Unit<DualQuaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
/
operator.sourcefn div(
self,
rhs: Unit<DualQuaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Div<Unit<DualQuaternion<T>>>>::Output
fn div(
self,
rhs: Unit<DualQuaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Div<Unit<DualQuaternion<T>>>>::Output
/
operation. Read moresourceimpl<T> Div<Unit<DualQuaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Div<Unit<DualQuaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
/
operator.sourcefn div(
self,
rhs: Unit<DualQuaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Div<Unit<DualQuaternion<T>>>>::Output
fn div(
self,
rhs: Unit<DualQuaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Div<Unit<DualQuaternion<T>>>>::Output
/
operation. Read moresourceimpl<'a, T> Div<Unit<Quaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Div<Unit<Quaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
/
operator.sourcefn div(
self,
rhs: Unit<Quaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Div<Unit<Quaternion<T>>>>::Output
fn div(
self,
rhs: Unit<Quaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Div<Unit<Quaternion<T>>>>::Output
/
operation. Read moresourceimpl<T> Div<Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Div<Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
/
operator.sourcefn div(
self,
rhs: Unit<Quaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Div<Unit<Quaternion<T>>>>::Output
fn div(
self,
rhs: Unit<Quaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Div<Unit<Quaternion<T>>>>::Output
/
operation. Read moresourceimpl<'b, T, R, const D: usize> DivAssign<&'b Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> DivAssign<&'b Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn div_assign(&mut self, rhs: &'b Isometry<T, R, D>)
fn div_assign(&mut self, rhs: &'b Isometry<T, R, D>)
/=
operation. Read moresourceimpl<'b, T, R, const D: usize> DivAssign<&'b Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> DivAssign<&'b Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn div_assign(&mut self, rhs: &'b Isometry<T, R, D>)
fn div_assign(&mut self, rhs: &'b Isometry<T, R, D>)
/=
operation. Read moresourceimpl<'b, T> DivAssign<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> DivAssign<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn div_assign(&mut self, rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>)
fn div_assign(&mut self, rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>)
/=
operation. Read moresourceimpl<'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,
sourcefn div_assign(&mut self, rhs: &'b Rotation<T, D>)
fn div_assign(&mut self, rhs: &'b Rotation<T, D>)
/=
operation. Read moresourceimpl<'b, T> DivAssign<&'b Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> DivAssign<&'b Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn div_assign(&mut self, rhs: &'b Unit<Complex<T>>)
fn div_assign(&mut self, rhs: &'b Unit<Complex<T>>)
/=
operation. Read moresourceimpl<'b, T> DivAssign<&'b Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> DivAssign<&'b Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn div_assign(&mut self, rhs: &'b Unit<Quaternion<T>>)
fn div_assign(&mut self, rhs: &'b Unit<Quaternion<T>>)
/=
operation. Read moresourceimpl<T, R, const D: usize> DivAssign<Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> DivAssign<Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn div_assign(&mut self, rhs: Isometry<T, R, D>)
fn div_assign(&mut self, rhs: Isometry<T, R, D>)
/=
operation. Read moresourceimpl<T, R, const D: usize> DivAssign<Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> DivAssign<Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn div_assign(&mut self, rhs: Isometry<T, R, D>)
fn div_assign(&mut self, rhs: Isometry<T, R, D>)
/=
operation. Read moresourceimpl<T> DivAssign<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> DivAssign<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn div_assign(&mut self, rhs: Isometry<T, Unit<Quaternion<T>>, 3>)
fn div_assign(&mut self, rhs: Isometry<T, Unit<Quaternion<T>>, 3>)
/=
operation. Read moresourceimpl<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,
sourcefn div_assign(&mut self, rhs: Rotation<T, D>)
fn div_assign(&mut self, rhs: Rotation<T, D>)
/=
operation. Read moresourceimpl<T> DivAssign<Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> DivAssign<Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn div_assign(&mut self, rhs: Unit<Complex<T>>)
fn div_assign(&mut self, rhs: Unit<Complex<T>>)
/=
operation. Read moresourceimpl<T> DivAssign<Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> DivAssign<Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn div_assign(&mut self, rhs: Unit<Quaternion<T>>)
fn div_assign(&mut self, rhs: Unit<Quaternion<T>>)
/=
operation. Read moresourceimpl<T, R, const D: usize> From<[Isometry<<T as SimdValue>::Element, <R as SimdValue>::Element, D>; 16]> for Isometry<T, R, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 16]>,
R: SimdValue + AbstractRotation<T, D> + From<[<R as SimdValue>::Element; 16]>,
<R as SimdValue>::Element: AbstractRotation<<T as SimdValue>::Element, D> + Scalar + Copy,
<T as SimdValue>::Element: Scalar + Copy,
impl<T, R, const D: usize> From<[Isometry<<T as SimdValue>::Element, <R as SimdValue>::Element, D>; 16]> for Isometry<T, R, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 16]>,
R: SimdValue + AbstractRotation<T, D> + From<[<R as SimdValue>::Element; 16]>,
<R as SimdValue>::Element: AbstractRotation<<T as SimdValue>::Element, D> + Scalar + Copy,
<T as SimdValue>::Element: Scalar + Copy,
sourceimpl<T, R, const D: usize> From<[Isometry<<T as SimdValue>::Element, <R as SimdValue>::Element, D>; 2]> for Isometry<T, R, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 2]>,
R: SimdValue + AbstractRotation<T, D> + From<[<R as SimdValue>::Element; 2]>,
<R as SimdValue>::Element: AbstractRotation<<T as SimdValue>::Element, D> + Scalar + Copy,
<T as SimdValue>::Element: Scalar + Copy,
impl<T, R, const D: usize> From<[Isometry<<T as SimdValue>::Element, <R as SimdValue>::Element, D>; 2]> for Isometry<T, R, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 2]>,
R: SimdValue + AbstractRotation<T, D> + From<[<R as SimdValue>::Element; 2]>,
<R as SimdValue>::Element: AbstractRotation<<T as SimdValue>::Element, D> + Scalar + Copy,
<T as SimdValue>::Element: Scalar + Copy,
sourceimpl<T, R, const D: usize> From<[Isometry<<T as SimdValue>::Element, <R as SimdValue>::Element, D>; 4]> for Isometry<T, R, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 4]>,
R: SimdValue + AbstractRotation<T, D> + From<[<R as SimdValue>::Element; 4]>,
<R as SimdValue>::Element: AbstractRotation<<T as SimdValue>::Element, D> + Scalar + Copy,
<T as SimdValue>::Element: Scalar + Copy,
impl<T, R, const D: usize> From<[Isometry<<T as SimdValue>::Element, <R as SimdValue>::Element, D>; 4]> for Isometry<T, R, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 4]>,
R: SimdValue + AbstractRotation<T, D> + From<[<R as SimdValue>::Element; 4]>,
<R as SimdValue>::Element: AbstractRotation<<T as SimdValue>::Element, D> + Scalar + Copy,
<T as SimdValue>::Element: Scalar + Copy,
sourceimpl<T, R, const D: usize> From<[Isometry<<T as SimdValue>::Element, <R as SimdValue>::Element, D>; 8]> for Isometry<T, R, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 8]>,
R: SimdValue + AbstractRotation<T, D> + From<[<R as SimdValue>::Element; 8]>,
<R as SimdValue>::Element: AbstractRotation<<T as SimdValue>::Element, D> + Scalar + Copy,
<T as SimdValue>::Element: Scalar + Copy,
impl<T, R, const D: usize> From<[Isometry<<T as SimdValue>::Element, <R as SimdValue>::Element, D>; 8]> for Isometry<T, R, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 8]>,
R: SimdValue + AbstractRotation<T, D> + From<[<R as SimdValue>::Element; 8]>,
<R as SimdValue>::Element: AbstractRotation<<T as SimdValue>::Element, D> + Scalar + Copy,
<T as SimdValue>::Element: Scalar + Copy,
sourceimpl<T, R, const D: usize> From<[T; D]> for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> From<[T; D]> for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<T, R, const D: usize> From<Isometry<T, R, D>> for Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>where
T: SimdRealField,
Const<D>: DimNameAdd<Const<1>>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<T, R, const D: usize> From<Isometry<T, R, D>> for Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>where
T: SimdRealField,
Const<D>: DimNameAdd<Const<1>>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourcefn from(
iso: Isometry<T, R, D>
) -> Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>
fn from(
iso: Isometry<T, R, D>
) -> Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>
sourceimpl<T> From<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> From<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn from(iso: Isometry<T, Unit<Quaternion<T>>, 3>) -> Unit<DualQuaternion<T>>
fn from(iso: Isometry<T, Unit<Quaternion<T>>, 3>) -> Unit<DualQuaternion<T>>
sourceimpl<T, R, const D: usize> From<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> From<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<T, R, const D: usize> From<OPoint<T, Const<D>>> for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> From<OPoint<T, Const<D>>> for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<T, R, const D: usize> From<Translation<T, D>> for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> From<Translation<T, D>> for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn from(tra: Translation<T, D>) -> Isometry<T, R, D>
fn from(tra: Translation<T, D>) -> Isometry<T, R, D>
sourceimpl<T> From<Unit<DualQuaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> From<Unit<DualQuaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn from(dq: Unit<DualQuaternion<T>>) -> Isometry<T, Unit<Quaternion<T>>, 3>
fn from(dq: Unit<DualQuaternion<T>>) -> Isometry<T, Unit<Quaternion<T>>, 3>
sourceimpl<T, R, const D: usize> Hash for Isometry<T, R, D>where
T: Scalar + Hash,
R: Hash,
<DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer: Hash,
impl<T, R, const D: usize> Hash for Isometry<T, R, D>where
T: Scalar + Hash,
R: Hash,
<DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer: Hash,
sourceimpl IntoRapier<Isometry<f32, Unit<Quaternion<f32>>, 3>> for (Vec3, Quat)
impl IntoRapier<Isometry<f32, Unit<Quaternion<f32>>, 3>> for (Vec3, Quat)
fn into_rapier(self) -> Isometry<f32, Unit<Quaternion<f32>>, 3>
sourceimpl IsometryOps<AutoSimd<[f32; 4]>> for Isometry<AutoSimd<[f32; 4]>, Unit<Complex<AutoSimd<[f32; 4]>>>, 2>
impl IsometryOps<AutoSimd<[f32; 4]>> for Isometry<AutoSimd<[f32; 4]>, Unit<Complex<AutoSimd<[f32; 4]>>>, 2>
sourcefn absolute_transform_vector(
&self,
v: &Matrix<AutoSimd<[f32; 4]>, Const<2>, Const<1>, ArrayStorage<AutoSimd<[f32; 4]>, 2, 1>>
) -> Matrix<AutoSimd<[f32; 4]>, Const<2>, Const<1>, ArrayStorage<AutoSimd<[f32; 4]>, 2, 1>>
fn absolute_transform_vector(
&self,
v: &Matrix<AutoSimd<[f32; 4]>, Const<2>, Const<1>, ArrayStorage<AutoSimd<[f32; 4]>, 2, 1>>
) -> Matrix<AutoSimd<[f32; 4]>, Const<2>, Const<1>, ArrayStorage<AutoSimd<[f32; 4]>, 2, 1>>
self
. Read moresourceimpl IsometryOps<AutoSimd<[f32; 4]>> for Isometry<AutoSimd<[f32; 4]>, Unit<Quaternion<AutoSimd<[f32; 4]>>>, 3>
impl IsometryOps<AutoSimd<[f32; 4]>> for Isometry<AutoSimd<[f32; 4]>, Unit<Quaternion<AutoSimd<[f32; 4]>>>, 3>
sourcefn absolute_transform_vector(
&self,
v: &Matrix<AutoSimd<[f32; 4]>, Const<3>, Const<1>, ArrayStorage<AutoSimd<[f32; 4]>, 3, 1>>
) -> Matrix<AutoSimd<[f32; 4]>, Const<3>, Const<1>, ArrayStorage<AutoSimd<[f32; 4]>, 3, 1>>
fn absolute_transform_vector(
&self,
v: &Matrix<AutoSimd<[f32; 4]>, Const<3>, Const<1>, ArrayStorage<AutoSimd<[f32; 4]>, 3, 1>>
) -> Matrix<AutoSimd<[f32; 4]>, Const<3>, Const<1>, ArrayStorage<AutoSimd<[f32; 4]>, 3, 1>>
self
. Read moresourceimpl IsometryOps<f32> for Isometry<f32, Unit<Complex<f32>>, 2>
impl IsometryOps<f32> for Isometry<f32, Unit<Complex<f32>>, 2>
sourcefn absolute_transform_vector(
&self,
v: &Matrix<f32, Const<2>, Const<1>, ArrayStorage<f32, 2, 1>>
) -> Matrix<f32, Const<2>, Const<1>, ArrayStorage<f32, 2, 1>>
fn absolute_transform_vector(
&self,
v: &Matrix<f32, Const<2>, Const<1>, ArrayStorage<f32, 2, 1>>
) -> Matrix<f32, Const<2>, Const<1>, ArrayStorage<f32, 2, 1>>
self
. Read moresourceimpl IsometryOps<f32> for Isometry<f32, Unit<Quaternion<f32>>, 3>
impl IsometryOps<f32> for Isometry<f32, Unit<Quaternion<f32>>, 3>
sourcefn absolute_transform_vector(
&self,
v: &Matrix<f32, Const<3>, Const<1>, ArrayStorage<f32, 3, 1>>
) -> Matrix<f32, Const<3>, Const<1>, ArrayStorage<f32, 3, 1>>
fn absolute_transform_vector(
&self,
v: &Matrix<f32, Const<3>, Const<1>, ArrayStorage<f32, 3, 1>>
) -> Matrix<f32, Const<3>, Const<1>, ArrayStorage<f32, 3, 1>>
self
. Read moresourceimpl<'a, 'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'a, 'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for &'a Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for &'a Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
*
operator.sourceimpl<'a, 'b, T, C, R, const D: usize> Mul<&'b Isometry<T, R, D>> for &'a Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<'a, 'b, T, C, R, const D: usize> Mul<&'b Isometry<T, R, D>> for &'a Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourceimpl<'a, 'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for &'a Translation<T, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for &'a Translation<T, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
*
operator.sourceimpl<'b, T, C, R, const D: usize> Mul<&'b Isometry<T, R, D>> for Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<'b, T, C, R, const D: usize> Mul<&'b Isometry<T, R, D>> for Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourceimpl<'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for Translation<T, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Mul<&'b Isometry<T, R, D>> for Translation<T, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
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> Mul<&'b Isometry<T, Unit<Complex<T>>, 2>> for &'a Unit<Complex<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Mul<&'b Isometry<T, Unit<Complex<T>>, 2>> for &'a Unit<Complex<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T> Mul<&'b Isometry<T, Unit<Complex<T>>, 2>> for Unit<Complex<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Isometry<T, Unit<Complex<T>>, 2>> for Unit<Complex<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T> Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
*
operator.sourcefn mul(
self,
rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<DualQuaternion<T>> as Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn mul(
self,
rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<DualQuaternion<T>> as Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
*
operation. Read moresourceimpl<'a, 'b, T> Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
*
operator.sourcefn mul(
self,
right: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<Quaternion<T>> as Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn mul(
self,
right: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<Quaternion<T>> as Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
*
operation. Read moresourceimpl<'b, T> Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
*
operator.sourcefn mul(
self,
rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<DualQuaternion<T>> as Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn mul(
self,
rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<DualQuaternion<T>> as Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
*
operation. Read moresourceimpl<'b, T> Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
*
operator.sourcefn mul(
self,
right: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<Quaternion<T>> as Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn mul(
self,
right: &'b Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<Quaternion<T>> as Mul<&'b Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
*
operation. Read moresourceimpl<'a, 'b, T, R, const D: usize> Mul<&'b Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Mul<&'b Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
*
operator.sourceimpl<'b, T, R, const D: usize> Mul<&'b Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Mul<&'b Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
*
operator.sourceimpl<'a, 'b, T, R, const D: usize> Mul<&'b OPoint<T, Const<D>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Mul<&'b OPoint<T, Const<D>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'b, T, R, const D: usize> Mul<&'b OPoint<T, Const<D>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Mul<&'b OPoint<T, Const<D>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
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<'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<'a, 'b, T, R, const D: usize> Mul<&'b Similarity<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Mul<&'b Similarity<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
*
operator.sourcefn mul(
self,
rhs: &'b Similarity<T, R, D>
) -> <&'a Isometry<T, R, D> as Mul<&'b Similarity<T, R, D>>>::Output
fn mul(
self,
rhs: &'b Similarity<T, R, D>
) -> <&'a Isometry<T, R, D> as Mul<&'b Similarity<T, R, D>>>::Output
*
operation. Read moresourceimpl<'b, T, R, const D: usize> Mul<&'b Similarity<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Mul<&'b Similarity<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
*
operator.sourcefn mul(
self,
rhs: &'b Similarity<T, R, D>
) -> <Isometry<T, R, D> as Mul<&'b Similarity<T, R, D>>>::Output
fn mul(
self,
rhs: &'b Similarity<T, R, D>
) -> <Isometry<T, R, D> as Mul<&'b Similarity<T, R, D>>>::Output
*
operation. Read moresourceimpl<'a, 'b, T, C, R, const D: usize> Mul<&'b Transform<T, C, D>> for &'a Isometry<T, R, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<'a, 'b, T, C, R, const D: usize> Mul<&'b Transform<T, C, D>> for &'a Isometry<T, R, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourceimpl<'b, T, C, R, const D: usize> Mul<&'b Transform<T, C, D>> for Isometry<T, R, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<'b, T, C, R, const D: usize> Mul<&'b Transform<T, C, D>> for Isometry<T, R, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourceimpl<'a, 'b, T, R, const D: usize> Mul<&'b Translation<T, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Mul<&'b Translation<T, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn mul(
self,
right: &'b Translation<T, D>
) -> <&'a Isometry<T, R, D> as Mul<&'b Translation<T, D>>>::Output
fn mul(
self,
right: &'b Translation<T, D>
) -> <&'a Isometry<T, R, D> as Mul<&'b Translation<T, D>>>::Output
*
operation. Read moresourceimpl<'b, T, R, const D: usize> Mul<&'b Translation<T, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Mul<&'b Translation<T, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn mul(
self,
right: &'b Translation<T, D>
) -> <Isometry<T, R, D> as Mul<&'b Translation<T, D>>>::Output
fn mul(
self,
right: &'b Translation<T, D>
) -> <Isometry<T, R, D> as Mul<&'b Translation<T, D>>>::Output
*
operation. Read moresourceimpl<'a, 'b, T> Mul<&'b Unit<Complex<T>>> for &'a Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Mul<&'b Unit<Complex<T>>> for &'a Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'b, T> Mul<&'b Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, 'b, T> Mul<&'b Unit<DualQuaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Mul<&'b Unit<DualQuaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
*
operator.sourcefn mul(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Mul<&'b Unit<DualQuaternion<T>>>>::Output
fn mul(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Mul<&'b Unit<DualQuaternion<T>>>>::Output
*
operation. Read moresourceimpl<'b, T> Mul<&'b Unit<DualQuaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Unit<DualQuaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
*
operator.sourcefn mul(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Mul<&'b Unit<DualQuaternion<T>>>>::Output
fn mul(
self,
rhs: &'b Unit<DualQuaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Mul<&'b Unit<DualQuaternion<T>>>>::Output
*
operation. Read moresourceimpl<'a, 'b, T, R, const D: usize> Mul<&'b Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, 'b, T, R, const D: usize> Mul<&'b Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'b, T, R, const D: usize> Mul<&'b Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> Mul<&'b Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'a, 'b, T> Mul<&'b Unit<Quaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, 'b, T> Mul<&'b Unit<Quaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
*
operator.sourcefn mul(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Mul<&'b Unit<Quaternion<T>>>>::Output
fn mul(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Mul<&'b Unit<Quaternion<T>>>>::Output
*
operation. Read moresourceimpl<'b, T> Mul<&'b Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
*
operator.sourcefn mul(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Mul<&'b Unit<Quaternion<T>>>>::Output
fn mul(
self,
rhs: &'b Unit<Quaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Mul<&'b Unit<Quaternion<T>>>>::Output
*
operation. Read moresourceimpl<'a, T, R, const D: usize> Mul<Isometry<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Mul<Isometry<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'a, T, R, const D: usize> Mul<Isometry<T, R, D>> for &'a Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Mul<Isometry<T, R, D>> for &'a Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
*
operator.sourceimpl<'a, T, C, R, const D: usize> Mul<Isometry<T, R, D>> for &'a Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<'a, T, C, R, const D: usize> Mul<Isometry<T, R, D>> for &'a Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourceimpl<'a, T, R, const D: usize> Mul<Isometry<T, R, D>> for &'a Translation<T, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Mul<Isometry<T, R, D>> for &'a Translation<T, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<T, R, const D: usize> Mul<Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Mul<Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<T, R, const D: usize> Mul<Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Mul<Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
*
operator.sourceimpl<T, C, R, const D: usize> Mul<Isometry<T, R, D>> for Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<T, C, R, const D: usize> Mul<Isometry<T, R, D>> for Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourceimpl<T, R, const D: usize> Mul<Isometry<T, R, D>> for Translation<T, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Mul<Isometry<T, R, D>> for Translation<T, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
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, 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> Mul<Isometry<T, Unit<Complex<T>>, 2>> for &'a Unit<Complex<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Mul<Isometry<T, Unit<Complex<T>>, 2>> for &'a Unit<Complex<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T> Mul<Isometry<T, Unit<Complex<T>>, 2>> for Unit<Complex<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Isometry<T, Unit<Complex<T>>, 2>> for Unit<Complex<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T> Mul<Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Mul<Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
*
operator.sourcefn mul(
self,
rhs: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<DualQuaternion<T>> as Mul<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn mul(
self,
rhs: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<DualQuaternion<T>> as Mul<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
*
operation. Read moresourceimpl<'a, T> Mul<Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Mul<Isometry<T, Unit<Quaternion<T>>, 3>> for &'a Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
*
operator.sourcefn mul(
self,
right: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<Quaternion<T>> as Mul<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn mul(
self,
right: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <&'a Unit<Quaternion<T>> as Mul<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
*
operation. Read moresourceimpl<T> Mul<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
*
operator.sourcefn mul(
self,
rhs: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<DualQuaternion<T>> as Mul<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn mul(
self,
rhs: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<DualQuaternion<T>> as Mul<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
*
operation. Read moresourceimpl<T> Mul<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<Quaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
*
operator.sourcefn mul(
self,
right: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<Quaternion<T>> as Mul<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
fn mul(
self,
right: Isometry<T, Unit<Quaternion<T>>, 3>
) -> <Unit<Quaternion<T>> as Mul<Isometry<T, Unit<Quaternion<T>>, 3>>>::Output
*
operation. Read moresourceimpl<'a, T, R, const D: usize> Mul<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Mul<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
*
operator.sourceimpl<T, R, const D: usize> Mul<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Mul<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
type Output = Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
*
operator.sourceimpl<'a, T, R, const D: usize> Mul<OPoint<T, Const<D>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Mul<OPoint<T, Const<D>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<T, R, const D: usize> Mul<OPoint<T, Const<D>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Mul<OPoint<T, Const<D>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
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<'a, T, R, const D: usize> Mul<Similarity<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Mul<Similarity<T, R, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
*
operator.sourcefn mul(
self,
rhs: Similarity<T, R, D>
) -> <&'a Isometry<T, R, D> as Mul<Similarity<T, R, D>>>::Output
fn mul(
self,
rhs: Similarity<T, R, D>
) -> <&'a Isometry<T, R, D> as Mul<Similarity<T, R, D>>>::Output
*
operation. Read moresourceimpl<T, R, const D: usize> Mul<Similarity<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Mul<Similarity<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
type Output = Similarity<T, R, D>
type Output = Similarity<T, R, D>
*
operator.sourcefn mul(
self,
rhs: Similarity<T, R, D>
) -> <Isometry<T, R, D> as Mul<Similarity<T, R, D>>>::Output
fn mul(
self,
rhs: Similarity<T, R, D>
) -> <Isometry<T, R, D> as Mul<Similarity<T, R, D>>>::Output
*
operation. Read moresourceimpl<'a, T, C, R, const D: usize> Mul<Transform<T, C, D>> for &'a Isometry<T, R, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<'a, T, C, R, const D: usize> Mul<Transform<T, C, D>> for &'a Isometry<T, R, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourceimpl<T, C, R, const D: usize> Mul<Transform<T, C, D>> for Isometry<T, R, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<T, C, R, const D: usize> Mul<Transform<T, C, D>> for Isometry<T, R, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourceimpl<'a, T, R, const D: usize> Mul<Translation<T, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Mul<Translation<T, D>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn mul(
self,
right: Translation<T, D>
) -> <&'a Isometry<T, R, D> as Mul<Translation<T, D>>>::Output
fn mul(
self,
right: Translation<T, D>
) -> <&'a Isometry<T, R, D> as Mul<Translation<T, D>>>::Output
*
operation. Read moresourceimpl<T, R, const D: usize> Mul<Translation<T, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Mul<Translation<T, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn mul(
self,
right: Translation<T, D>
) -> <Isometry<T, R, D> as Mul<Translation<T, D>>>::Output
fn mul(
self,
right: Translation<T, D>
) -> <Isometry<T, R, D> as Mul<Translation<T, D>>>::Output
*
operation. Read moresourceimpl<'a, T> Mul<Unit<Complex<T>>> for &'a Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Mul<Unit<Complex<T>>> for &'a Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T> Mul<Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<'a, T> Mul<Unit<DualQuaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Mul<Unit<DualQuaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
*
operator.sourcefn mul(
self,
rhs: Unit<DualQuaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Mul<Unit<DualQuaternion<T>>>>::Output
fn mul(
self,
rhs: Unit<DualQuaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Mul<Unit<DualQuaternion<T>>>>::Output
*
operation. Read moresourceimpl<T> Mul<Unit<DualQuaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Unit<DualQuaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Unit<DualQuaternion<T>>
type Output = Unit<DualQuaternion<T>>
*
operator.sourcefn mul(
self,
rhs: Unit<DualQuaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Mul<Unit<DualQuaternion<T>>>>::Output
fn mul(
self,
rhs: Unit<DualQuaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Mul<Unit<DualQuaternion<T>>>>::Output
*
operation. Read moresourceimpl<'a, T, R, const D: usize> Mul<Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'a, T, R, const D: usize> Mul<Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>> for &'a Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<T, R, const D: usize> Mul<Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> Mul<Unit<Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourceimpl<'a, T> Mul<Unit<Quaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'a, T> Mul<Unit<Quaternion<T>>> for &'a Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
*
operator.sourcefn mul(
self,
rhs: Unit<Quaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Mul<Unit<Quaternion<T>>>>::Output
fn mul(
self,
rhs: Unit<Quaternion<T>>
) -> <&'a Isometry<T, Unit<Quaternion<T>>, 3> as Mul<Unit<Quaternion<T>>>>::Output
*
operation. Read moresourceimpl<T> Mul<Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
type Output = Isometry<T, Unit<Quaternion<T>>, 3>
*
operator.sourcefn mul(
self,
rhs: Unit<Quaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Mul<Unit<Quaternion<T>>>>::Output
fn mul(
self,
rhs: Unit<Quaternion<T>>
) -> <Isometry<T, Unit<Quaternion<T>>, 3> as Mul<Unit<Quaternion<T>>>>::Output
*
operation. Read moresourceimpl<'b, T, R, const D: usize> MulAssign<&'b Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> MulAssign<&'b Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn mul_assign(&mut self, rhs: &'b Isometry<T, R, D>)
fn mul_assign(&mut self, rhs: &'b Isometry<T, R, D>)
*=
operation. Read moresourceimpl<'b, T, R, const D: usize> MulAssign<&'b Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> MulAssign<&'b Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn mul_assign(&mut self, rhs: &'b Isometry<T, R, D>)
fn mul_assign(&mut self, rhs: &'b Isometry<T, R, D>)
*=
operation. Read moresourceimpl<'b, T, C, R, const D: usize> MulAssign<&'b Isometry<T, R, D>> for Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategory,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<'b, T, C, R, const D: usize> MulAssign<&'b Isometry<T, R, D>> for Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategory,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourcefn mul_assign(&mut self, rhs: &'b Isometry<T, R, D>)
fn mul_assign(&mut self, rhs: &'b Isometry<T, R, D>)
*=
operation. Read moresourceimpl<'b, T> MulAssign<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> MulAssign<&'b Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn mul_assign(&mut self, rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>)
fn mul_assign(&mut self, rhs: &'b Isometry<T, Unit<Quaternion<T>>, 3>)
*=
operation. Read moresourceimpl<'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,
sourcefn mul_assign(&mut self, rhs: &'b Rotation<T, D>)
fn mul_assign(&mut self, rhs: &'b Rotation<T, D>)
*=
operation. Read moresourceimpl<'b, T, R, const D: usize> MulAssign<&'b Translation<T, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<'b, T, R, const D: usize> MulAssign<&'b Translation<T, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn mul_assign(&mut self, rhs: &'b Translation<T, D>)
fn mul_assign(&mut self, rhs: &'b Translation<T, D>)
*=
operation. Read moresourceimpl<'b, T> MulAssign<&'b Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> MulAssign<&'b Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn mul_assign(&mut self, rhs: &'b Unit<Complex<T>>)
fn mul_assign(&mut self, rhs: &'b Unit<Complex<T>>)
*=
operation. Read moresourceimpl<'b, T> MulAssign<&'b Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> MulAssign<&'b Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn mul_assign(&mut self, rhs: &'b Unit<Quaternion<T>>)
fn mul_assign(&mut self, rhs: &'b Unit<Quaternion<T>>)
*=
operation. Read moresourceimpl<T, R, const D: usize> MulAssign<Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> MulAssign<Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn mul_assign(&mut self, rhs: Isometry<T, R, D>)
fn mul_assign(&mut self, rhs: Isometry<T, R, D>)
*=
operation. Read moresourceimpl<T, R, const D: usize> MulAssign<Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> MulAssign<Isometry<T, R, D>> for Similarity<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn mul_assign(&mut self, rhs: Isometry<T, R, D>)
fn mul_assign(&mut self, rhs: Isometry<T, R, D>)
*=
operation. Read moresourceimpl<T, C, R, const D: usize> MulAssign<Isometry<T, R, D>> for Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategory,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<T, C, R, const D: usize> MulAssign<Isometry<T, R, D>> for Transform<T, C, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategory,
R: SubsetOf<Matrix<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourcefn mul_assign(&mut self, rhs: Isometry<T, R, D>)
fn mul_assign(&mut self, rhs: Isometry<T, R, D>)
*=
operation. Read moresourceimpl<T> MulAssign<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> MulAssign<Isometry<T, Unit<Quaternion<T>>, 3>> for Unit<DualQuaternion<T>>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn mul_assign(&mut self, rhs: Isometry<T, Unit<Quaternion<T>>, 3>)
fn mul_assign(&mut self, rhs: Isometry<T, Unit<Quaternion<T>>, 3>)
*=
operation. Read moresourceimpl<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,
sourcefn mul_assign(&mut self, rhs: Rotation<T, D>)
fn mul_assign(&mut self, rhs: Rotation<T, D>)
*=
operation. Read moresourceimpl<T, R, const D: usize> MulAssign<Translation<T, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
impl<T, R, const D: usize> MulAssign<Translation<T, D>> for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: AbstractRotation<T, D>,
sourcefn mul_assign(&mut self, rhs: Translation<T, D>)
fn mul_assign(&mut self, rhs: Translation<T, D>)
*=
operation. Read moresourceimpl<T> MulAssign<Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> MulAssign<Unit<Complex<T>>> for Isometry<T, Unit<Complex<T>>, 2>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn mul_assign(&mut self, rhs: Unit<Complex<T>>)
fn mul_assign(&mut self, rhs: Unit<Complex<T>>)
*=
operation. Read moresourceimpl<T> MulAssign<Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> MulAssign<Unit<Quaternion<T>>> for Isometry<T, Unit<Quaternion<T>>, 3>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + SimdRealField,
<T as SimdValue>::Element: SimdRealField,
sourcefn mul_assign(&mut self, rhs: Unit<Quaternion<T>>)
fn mul_assign(&mut self, rhs: Unit<Quaternion<T>>)
*=
operation. Read moresourceimpl<T, R, const D: usize> One for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
<T as SimdValue>::Element: SimdRealField,
impl<T, R, const D: usize> One for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D>,
<T as SimdValue>::Element: SimdRealField,
sourceimpl<T, R, const D: usize> PartialEq<Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D> + PartialEq<R>,
impl<T, R, const D: usize> PartialEq<Isometry<T, R, D>> for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D> + PartialEq<R>,
sourceimpl<T, R, const D: usize> RelativeEq<Isometry<T, R, D>> for Isometry<T, R, D>where
T: RealField,
R: AbstractRotation<T, D> + RelativeEq<R, Epsilon = <T as AbsDiffEq<T>>::Epsilon>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
impl<T, R, const D: usize> RelativeEq<Isometry<T, R, D>> for Isometry<T, R, D>where
T: RealField,
R: AbstractRotation<T, D> + RelativeEq<R, Epsilon = <T as AbsDiffEq<T>>::Epsilon>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
sourcefn default_max_relative(
) -> <Isometry<T, R, D> as AbsDiffEq<Isometry<T, R, D>>>::Epsilon
fn default_max_relative(
) -> <Isometry<T, R, D> as AbsDiffEq<Isometry<T, R, D>>>::Epsilon
sourcefn relative_eq(
&self,
other: &Isometry<T, R, D>,
epsilon: <Isometry<T, R, D> as AbsDiffEq<Isometry<T, R, D>>>::Epsilon,
max_relative: <Isometry<T, R, D> as AbsDiffEq<Isometry<T, R, D>>>::Epsilon
) -> bool
fn relative_eq(
&self,
other: &Isometry<T, R, D>,
epsilon: <Isometry<T, R, D> as AbsDiffEq<Isometry<T, R, D>>>::Epsilon,
max_relative: <Isometry<T, R, D> as AbsDiffEq<Isometry<T, R, D>>>::Epsilon
) -> bool
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
RelativeEq::relative_eq
].sourceimpl<T, R, const D: usize> SimdValue for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: SimdValue<SimdBool = <T as SimdValue>::SimdBool> + AbstractRotation<T, D>,
<R as SimdValue>::Element: AbstractRotation<<T as SimdValue>::Element, D>,
impl<T, R, const D: usize> SimdValue for Isometry<T, R, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
R: SimdValue<SimdBool = <T as SimdValue>::SimdBool> + AbstractRotation<T, D>,
<R as SimdValue>::Element: AbstractRotation<<T as SimdValue>::Element, D>,
type Element = Isometry<<T as SimdValue>::Element, <R as SimdValue>::Element, D>
type Element = Isometry<<T as SimdValue>::Element, <R as SimdValue>::Element, D>
type SimdBool = <T as SimdValue>::SimdBool
type SimdBool = <T as SimdValue>::SimdBool
self
.sourcefn splat(val: <Isometry<T, R, D> as SimdValue>::Element) -> Isometry<T, R, D>
fn splat(val: <Isometry<T, R, D> as SimdValue>::Element) -> Isometry<T, R, D>
val
.sourcefn extract(&self, i: usize) -> <Isometry<T, R, D> as SimdValue>::Element
fn extract(&self, i: usize) -> <Isometry<T, R, D> as SimdValue>::Element
self
. Read moresourceunsafe fn extract_unchecked(
&self,
i: usize
) -> <Isometry<T, R, D> as SimdValue>::Element
unsafe fn extract_unchecked(
&self,
i: usize
) -> <Isometry<T, R, D> as SimdValue>::Element
self
without bound-checking.sourceunsafe fn replace_unchecked(
&mut self,
i: usize,
val: <Isometry<T, R, D> as SimdValue>::Element
)
unsafe fn replace_unchecked(
&mut self,
i: usize,
val: <Isometry<T, R, D> as SimdValue>::Element
)
self
by val
without bound-checking.sourcefn select(
self,
cond: <Isometry<T, R, D> as SimdValue>::SimdBool,
other: Isometry<T, R, D>
) -> Isometry<T, R, D>
fn select(
self,
cond: <Isometry<T, R, D> as SimdValue>::SimdBool,
other: Isometry<T, R, D>
) -> Isometry<T, R, D>
sourceimpl<T1, T2, R> SubsetOf<Isometry<T2, R, 2>> for Unit<Complex<T1>>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T2, 2> + SupersetOf<Unit<Complex<T1>>>,
impl<T1, T2, R> SubsetOf<Isometry<T2, R, 2>> for Unit<Complex<T1>>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T2, 2> + SupersetOf<Unit<Complex<T1>>>,
sourcefn to_superset(&self) -> Isometry<T2, R, 2>
fn to_superset(&self) -> Isometry<T2, R, 2>
self
to the equivalent element of its superset.sourcefn is_in_subset(iso: &Isometry<T2, R, 2>) -> bool
fn is_in_subset(iso: &Isometry<T2, R, 2>) -> bool
element
is actually part of the subset Self
(and can be converted to it).sourcefn from_superset_unchecked(iso: &Isometry<T2, R, 2>) -> Unit<Complex<T1>>
fn from_superset_unchecked(iso: &Isometry<T2, R, 2>) -> Unit<Complex<T1>>
self.to_superset
but without any property checks. Always succeeds.fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
self
from the equivalent element of its
superset. Read moresourceimpl<T1, T2, R> SubsetOf<Isometry<T2, R, 3>> for Unit<Quaternion<T1>>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T2, 3> + SupersetOf<Unit<Quaternion<T1>>>,
impl<T1, T2, R> SubsetOf<Isometry<T2, R, 3>> for Unit<Quaternion<T1>>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T2, 3> + SupersetOf<Unit<Quaternion<T1>>>,
sourcefn to_superset(&self) -> Isometry<T2, R, 3>
fn to_superset(&self) -> Isometry<T2, R, 3>
self
to the equivalent element of its superset.sourcefn is_in_subset(iso: &Isometry<T2, R, 3>) -> bool
fn is_in_subset(iso: &Isometry<T2, R, 3>) -> bool
element
is actually part of the subset Self
(and can be converted to it).sourcefn from_superset_unchecked(iso: &Isometry<T2, R, 3>) -> Unit<Quaternion<T1>>
fn from_superset_unchecked(iso: &Isometry<T2, R, 3>) -> Unit<Quaternion<T1>>
self.to_superset
but without any property checks. Always succeeds.fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
self
from the equivalent element of its
superset. Read moresourceimpl<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>>,
sourcefn to_superset(&self) -> Isometry<T2, R, D>
fn to_superset(&self) -> Isometry<T2, R, D>
self
to the equivalent element of its superset.sourcefn is_in_subset(iso: &Isometry<T2, R, D>) -> bool
fn is_in_subset(iso: &Isometry<T2, R, D>) -> bool
element
is actually part of the subset Self
(and can be converted to it).sourcefn from_superset_unchecked(iso: &Isometry<T2, R, D>) -> Rotation<T1, D>
fn from_superset_unchecked(iso: &Isometry<T2, R, D>) -> Rotation<T1, D>
self.to_superset
but without any property checks. Always succeeds.fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
self
from the equivalent element of its
superset. Read moresourceimpl<T1, T2, R, const D: usize> SubsetOf<Isometry<T2, R, D>> for Translation<T1, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T2, D>,
impl<T1, T2, R, const D: usize> SubsetOf<Isometry<T2, R, D>> for Translation<T1, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T2, D>,
sourcefn to_superset(&self) -> Isometry<T2, R, D>
fn to_superset(&self) -> Isometry<T2, R, D>
self
to the equivalent element of its superset.sourcefn is_in_subset(iso: &Isometry<T2, R, D>) -> bool
fn is_in_subset(iso: &Isometry<T2, R, D>) -> bool
element
is actually part of the subset Self
(and can be converted to it).sourcefn from_superset_unchecked(iso: &Isometry<T2, R, D>) -> Translation<T1, D>
fn from_superset_unchecked(iso: &Isometry<T2, R, D>) -> Translation<T1, D>
self.to_superset
but without any property checks. Always succeeds.fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
self
from the equivalent element of its
superset. Read moresourceimpl<T1, T2, R1, R2, const D: usize> SubsetOf<Isometry<T2, R2, D>> for Isometry<T1, R1, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R1: AbstractRotation<T1, D> + SubsetOf<R2>,
R2: AbstractRotation<T2, D>,
impl<T1, T2, R1, R2, const D: usize> SubsetOf<Isometry<T2, R2, D>> for Isometry<T1, R1, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R1: AbstractRotation<T1, D> + SubsetOf<R2>,
R2: AbstractRotation<T2, D>,
sourcefn to_superset(&self) -> Isometry<T2, R2, D>
fn to_superset(&self) -> Isometry<T2, R2, D>
self
to the equivalent element of its superset.sourcefn is_in_subset(iso: &Isometry<T2, R2, D>) -> bool
fn is_in_subset(iso: &Isometry<T2, R2, D>) -> bool
element
is actually part of the subset Self
(and can be converted to it).sourcefn from_superset_unchecked(iso: &Isometry<T2, R2, D>) -> Isometry<T1, R1, D>
fn from_superset_unchecked(iso: &Isometry<T2, R2, D>) -> Isometry<T1, R1, D>
self.to_superset
but without any property checks. Always succeeds.fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
self
from the equivalent element of its
superset. Read moresourceimpl<T1, T2> SubsetOf<Isometry<T2, Unit<Quaternion<T2>>, 3>> for Unit<DualQuaternion<T1>>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
impl<T1, T2> SubsetOf<Isometry<T2, Unit<Quaternion<T2>>, 3>> for Unit<DualQuaternion<T1>>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
sourcefn to_superset(&self) -> Isometry<T2, Unit<Quaternion<T2>>, 3>
fn to_superset(&self) -> Isometry<T2, Unit<Quaternion<T2>>, 3>
self
to the equivalent element of its superset.sourcefn is_in_subset(iso: &Isometry<T2, Unit<Quaternion<T2>>, 3>) -> bool
fn is_in_subset(iso: &Isometry<T2, Unit<Quaternion<T2>>, 3>) -> bool
element
is actually part of the subset Self
(and can be converted to it).sourcefn from_superset_unchecked(
iso: &Isometry<T2, Unit<Quaternion<T2>>, 3>
) -> Unit<DualQuaternion<T1>>
fn from_superset_unchecked(
iso: &Isometry<T2, Unit<Quaternion<T2>>, 3>
) -> Unit<DualQuaternion<T1>>
self.to_superset
but without any property checks. Always succeeds.fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
self
from the equivalent element of its
superset. Read moresourceimpl<T1, T2, R, const D: usize> SubsetOf<Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>> for Isometry<T1, R, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T1, D> + SubsetOf<Matrix<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>> + SubsetOf<Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
Const<D>: DimNameAdd<Const<1>> + DimMin<Const<D>, Output = Const<D>>,
DefaultAllocator: Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output> + Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<T1, T2, R, const D: usize> SubsetOf<Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>> for Isometry<T1, R, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R: AbstractRotation<T1, D> + SubsetOf<Matrix<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>> + SubsetOf<Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
Const<D>: DimNameAdd<Const<1>> + DimMin<Const<D>, Output = Const<D>>,
DefaultAllocator: Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output> + Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourcefn to_superset(
&self
) -> Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>
fn to_superset(
&self
) -> Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>
self
to the equivalent element of its superset.sourcefn is_in_subset(
m: &Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>
) -> bool
fn is_in_subset(
m: &Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>
) -> bool
element
is actually part of the subset Self
(and can be converted to it).sourcefn from_superset_unchecked(
m: &Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>
) -> Isometry<T1, R, D>
fn from_superset_unchecked(
m: &Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>
) -> Isometry<T1, R, D>
self.to_superset
but without any property checks. Always succeeds.fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
self
from the equivalent element of its
superset. Read moresourceimpl<T1, T2, R1, R2, const D: usize> SubsetOf<Similarity<T2, R2, D>> for Isometry<T1, R1, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R1: AbstractRotation<T1, D> + SubsetOf<R2>,
R2: AbstractRotation<T2, D>,
impl<T1, T2, R1, R2, const D: usize> SubsetOf<Similarity<T2, R2, D>> for Isometry<T1, R1, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
R1: AbstractRotation<T1, D> + SubsetOf<R2>,
R2: AbstractRotation<T2, D>,
sourcefn to_superset(&self) -> Similarity<T2, R2, D>
fn to_superset(&self) -> Similarity<T2, R2, D>
self
to the equivalent element of its superset.sourcefn is_in_subset(sim: &Similarity<T2, R2, D>) -> bool
fn is_in_subset(sim: &Similarity<T2, R2, D>) -> bool
element
is actually part of the subset Self
(and can be converted to it).sourcefn from_superset_unchecked(sim: &Similarity<T2, R2, D>) -> Isometry<T1, R1, D>
fn from_superset_unchecked(sim: &Similarity<T2, R2, D>) -> Isometry<T1, R1, D>
self.to_superset
but without any property checks. Always succeeds.fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
self
from the equivalent element of its
superset. Read moresourceimpl<T1, T2, R, C, const D: usize> SubsetOf<Transform<T2, C, D>> for Isometry<T1, R, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
C: SuperTCategoryOf<TAffine>,
R: AbstractRotation<T1, D> + SubsetOf<Matrix<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>> + SubsetOf<Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
Const<D>: DimNameAdd<Const<1>> + DimMin<Const<D>, Output = Const<D>>,
DefaultAllocator: Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output> + Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<T1, T2, R, C, const D: usize> SubsetOf<Transform<T2, C, D>> for Isometry<T1, R, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
C: SuperTCategoryOf<TAffine>,
R: AbstractRotation<T1, D> + SubsetOf<Matrix<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>> + SubsetOf<Matrix<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output, <DefaultAllocator as Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>>::Buffer>>,
Const<D>: DimNameAdd<Const<1>> + DimMin<Const<D>, Output = Const<D>>,
DefaultAllocator: Allocator<T1, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output> + Allocator<T2, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
sourcefn to_superset(&self) -> Transform<T2, C, D>
fn to_superset(&self) -> Transform<T2, C, D>
self
to the equivalent element of its superset.sourcefn is_in_subset(t: &Transform<T2, C, D>) -> bool
fn is_in_subset(t: &Transform<T2, C, D>) -> bool
element
is actually part of the subset Self
(and can be converted to it).sourcefn from_superset_unchecked(t: &Transform<T2, C, D>) -> Isometry<T1, R, D>
fn from_superset_unchecked(t: &Transform<T2, C, D>) -> Isometry<T1, R, D>
self.to_superset
but without any property checks. Always succeeds.fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
self
from the equivalent element of its
superset. Read moresourceimpl<T1, T2> SubsetOf<Unit<DualQuaternion<T2>>> for Isometry<T1, Unit<Quaternion<T1>>, 3>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
impl<T1, T2> SubsetOf<Unit<DualQuaternion<T2>>> for Isometry<T1, Unit<Quaternion<T1>>, 3>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
sourcefn to_superset(&self) -> Unit<DualQuaternion<T2>>
fn to_superset(&self) -> Unit<DualQuaternion<T2>>
self
to the equivalent element of its superset.sourcefn is_in_subset(dq: &Unit<DualQuaternion<T2>>) -> bool
fn is_in_subset(dq: &Unit<DualQuaternion<T2>>) -> bool
element
is actually part of the subset Self
(and can be converted to it).sourcefn from_superset_unchecked(
dq: &Unit<DualQuaternion<T2>>
) -> Isometry<T1, Unit<Quaternion<T1>>, 3>
fn from_superset_unchecked(
dq: &Unit<DualQuaternion<T2>>
) -> Isometry<T1, Unit<Quaternion<T1>>, 3>
self.to_superset
but without any property checks. Always succeeds.fn from_superset(element: &T) -> Option<Self>
fn from_superset(element: &T) -> Option<Self>
self
from the equivalent element of its
superset. Read moresourceimpl<T, R, const D: usize> UlpsEq<Isometry<T, R, D>> for Isometry<T, R, D>where
T: RealField,
R: AbstractRotation<T, D> + UlpsEq<R, Epsilon = <T as AbsDiffEq<T>>::Epsilon>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
impl<T, R, const D: usize> UlpsEq<Isometry<T, R, D>> for Isometry<T, R, D>where
T: RealField,
R: AbstractRotation<T, D> + UlpsEq<R, Epsilon = <T as AbsDiffEq<T>>::Epsilon>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
sourcefn default_max_ulps() -> u32
fn default_max_ulps() -> u32
impl<T, R, const D: usize> Copy for Isometry<T, R, D>where
T: Copy,
R: Copy,
impl<T, R, const D: usize> Eq for Isometry<T, R, D>where
T: SimdRealField,
R: AbstractRotation<T, D> + Eq,
Auto Trait Implementations
impl<T, R, const D: usize> RefUnwindSafe for Isometry<T, R, D>where
R: RefUnwindSafe,
T: RefUnwindSafe,
impl<T, R, const D: usize> Send for Isometry<T, R, D>where
R: Send,
T: Send,
impl<T, R, const D: usize> Sync for Isometry<T, R, D>where
R: Sync,
T: Sync,
impl<T, R, const D: usize> Unpin for Isometry<T, R, D>where
R: Unpin,
T: Unpin,
impl<T, R, const D: usize> UnwindSafe for Isometry<T, R, D>where
R: UnwindSafe,
T: UnwindSafe,
Blanket Implementations
impl<T, U> AsBindGroupShaderType<U> for Twhere
U: ShaderType,
&'a T: for<'a> Into<U>,
impl<T, U> AsBindGroupShaderType<U> for Twhere
U: ShaderType,
&'a T: for<'a> Into<U>,
fn as_bind_group_shader_type(
&self,
_images: &HashMap<Handle<Image>, <Image as RenderAsset>::PreparedAsset, RandomState, Global>
) -> U
fn as_bind_group_shader_type(
&self,
_images: &HashMap<Handle<Image>, <Image as RenderAsset>::PreparedAsset, RandomState, Global>
) -> U
T
[ShaderType
] for self
. When used in [AsBindGroup
]
derives, it is safe to assume that all images in self
exist. Read moresourceimpl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
const: unstable · sourcefn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
impl<T> Downcast for Twhere
T: Any,
impl<T> Downcast for Twhere
T: Any,
fn into_any(self: Box<T, Global>) -> Box<dyn Any + 'static, Global>
fn into_any(self: Box<T, Global>) -> Box<dyn Any + 'static, Global>
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 morefn into_any_rc(self: Rc<T>) -> Rc<dyn Any + 'static>
fn into_any_rc(self: Rc<T>) -> Rc<dyn Any + 'static>
Rc<Trait>
(where Trait: Downcast
) to Rc<Any>
. Rc<Any>
can then be
further downcast
into Rc<ConcreteType>
where ConcreteType
implements Trait
. Read morefn as_any(&self) -> &(dyn Any + 'static)
fn as_any(&self) -> &(dyn Any + 'static)
&Trait
(where Trait: Downcast
) to &Any
. This is needed since Rust cannot
generate &Any
’s vtable from &Trait
’s. Read morefn as_any_mut(&mut self) -> &mut (dyn Any + 'static)
fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)
&mut Trait
(where Trait: Downcast
) to &Any
. This is needed since Rust cannot
generate &mut Any
’s vtable from &mut Trait
’s. Read moreimpl<T> DynHash for Twhere
T: DynEq + Hash,
impl<T> DynHash for Twhere
T: DynEq + Hash,
sourceimpl<Q, K> Equivalent<K> for Qwhere
Q: Eq + ?Sized,
K: Borrow<Q> + ?Sized,
impl<Q, K> Equivalent<K> for Qwhere
Q: Eq + ?Sized,
K: Borrow<Q> + ?Sized,
sourcefn equivalent(&self, key: &K) -> bool
fn equivalent(&self, key: &K) -> bool
key
and return true
if they are equal.impl<T> FromWorld for Twhere
T: Default,
impl<T> FromWorld for Twhere
T: Default,
fn from_world(_world: &mut World) -> T
fn from_world(_world: &mut World) -> T
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 SPwhere
SS: SubsetOf<SP>,
impl<SS, SP> SupersetOf<SS> for SPwhere
SS: SubsetOf<SP>,
fn to_subset(&self) -> Option<SS>
fn to_subset(&self) -> Option<SS>
self
from the equivalent element of its
superset. Read morefn is_in_subset(&self) -> bool
fn is_in_subset(&self) -> bool
self
is actually part of its subset T
(and can be converted to it).fn to_subset_unchecked(&self) -> SS
fn to_subset_unchecked(&self) -> SS
self.to_subset
but without any property checks. Always succeeds.fn from_subset(element: &SS) -> SP
fn from_subset(element: &SS) -> SP
self
to the equivalent element of its superset.