Type Alias oxygengine_physics_2d::prelude::math::Translation
source · pub type Translation<N> = Translation<N, 2>;
Expand description
The translation type.
Aliased Type§
struct Translation<N> {
pub vector: Matrix<N, Const<2>, Const<1>, ArrayStorage<N, 2, 1>>,
}
Fields§
§vector: Matrix<N, Const<2>, Const<1>, ArrayStorage<N, 2, 1>>
The translation coordinates, i.e., how much is added to a point’s coordinates when it is translated.
Implementations§
source§impl<T, const D: usize> Translation<T, D>where
T: Scalar,
impl<T, const D: usize> Translation<T, D>where T: Scalar,
sourcepub fn from_vector(
vector: Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>>
) -> Translation<T, D>
👎Deprecated: Use ::from
instead.
pub fn from_vector( vector: Matrix<T, Const<D>, Const<1>, ArrayStorage<T, D, 1>> ) -> Translation<T, D>
::from
instead.Creates a new translation from the given vector.
sourcepub fn inverse(&self) -> Translation<T, D>where
T: ClosedNeg,
pub fn inverse(&self) -> Translation<T, D>where T: ClosedNeg,
Inverts self
.
Example
let t = Translation3::new(1.0, 2.0, 3.0);
assert_eq!(t * t.inverse(), Translation3::identity());
assert_eq!(t.inverse() * t, Translation3::identity());
// Work in all dimensions.
let t = Translation2::new(1.0, 2.0);
assert_eq!(t * t.inverse(), Translation2::identity());
assert_eq!(t.inverse() * t, Translation2::identity());
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
T: Zero + One,
Const<D>: DimNameAdd<Const<1>>,
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 T: Zero + One, Const<D>: DimNameAdd<Const<1>>, DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
Converts this translation into its equivalent homogeneous transformation matrix.
Example
let t = Translation3::new(10.0, 20.0, 30.0);
let expected = Matrix4::new(1.0, 0.0, 0.0, 10.0,
0.0, 1.0, 0.0, 20.0,
0.0, 0.0, 1.0, 30.0,
0.0, 0.0, 0.0, 1.0);
assert_eq!(t.to_homogeneous(), expected);
let t = Translation2::new(10.0, 20.0);
let expected = Matrix3::new(1.0, 0.0, 10.0,
0.0, 1.0, 20.0,
0.0, 0.0, 1.0);
assert_eq!(t.to_homogeneous(), expected);
sourcepub fn inverse_mut(&mut self)where
T: ClosedNeg,
pub fn inverse_mut(&mut self)where T: ClosedNeg,
Inverts self
in-place.
Example
let t = Translation3::new(1.0, 2.0, 3.0);
let mut inv_t = Translation3::new(1.0, 2.0, 3.0);
inv_t.inverse_mut();
assert_eq!(t * inv_t, Translation3::identity());
assert_eq!(inv_t * t, Translation3::identity());
// Work in all dimensions.
let t = Translation2::new(1.0, 2.0);
let mut inv_t = Translation2::new(1.0, 2.0);
inv_t.inverse_mut();
assert_eq!(t * inv_t, Translation2::identity());
assert_eq!(inv_t * t, Translation2::identity());
source§impl<T, const D: usize> Translation<T, D>where
T: Scalar + ClosedAdd<T>,
impl<T, const D: usize> Translation<T, D>where T: Scalar + ClosedAdd<T>,
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>>
Translate the given point.
This is the same as the multiplication self * pt
.
Example
let t = Translation3::new(1.0, 2.0, 3.0);
let transformed_point = t.transform_point(&Point3::new(4.0, 5.0, 6.0));
assert_eq!(transformed_point, Point3::new(5.0, 7.0, 9.0));
source§impl<T, const D: usize> Translation<T, D>where
T: Scalar + ClosedSub<T>,
impl<T, const D: usize> Translation<T, D>where T: Scalar + ClosedSub<T>,
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>>
Translate the given point by the inverse of this translation.
Example
let t = Translation3::new(1.0, 2.0, 3.0);
let transformed_point = t.inverse_transform_point(&Point3::new(4.0, 5.0, 6.0));
assert_eq!(transformed_point, Point3::new(3.0, 3.0, 3.0));
source§impl<T, const D: usize> Translation<T, D>where
T: Scalar,
impl<T, const D: usize> Translation<T, D>where T: Scalar,
sourcepub fn identity() -> Translation<T, D>where
T: Zero,
pub fn identity() -> Translation<T, D>where T: Zero,
Creates a new identity translation.
Example
let t = Translation2::identity();
let p = Point2::new(1.0, 2.0);
assert_eq!(t * p, p);
// Works in all dimensions.
let t = Translation3::identity();
let p = Point3::new(1.0, 2.0, 3.0);
assert_eq!(t * p, p);
sourcepub fn cast<To>(self) -> Translation<To, D>where
To: Scalar,
Translation<To, D>: SupersetOf<Translation<T, D>>,
pub fn cast<To>(self) -> Translation<To, D>where To: Scalar, Translation<To, D>: SupersetOf<Translation<T, D>>,
Cast the components of self
to another type.
Example
let tra = Translation2::new(1.0f64, 2.0);
let tra2 = tra.cast::<f32>();
assert_eq!(tra2, Translation2::new(1.0f32, 2.0));
source§impl<T> Translation<T, 2>
impl<T> Translation<T, 2>
sourcepub const fn new(x: T, y: T) -> Translation<T, 2>
pub const fn new(x: T, y: T) -> Translation<T, 2>
Initializes this translation from its components.
Example
let t = Translation2::new(1.0, 2.0);
assert!(t.vector.x == 1.0 && t.vector.y == 2.0);
Methods from Deref<Target = XY<T>>§
sourcepub fn inverse(&self) -> Translation<T, D>where
T: ClosedNeg,
pub fn inverse(&self) -> Translation<T, D>where T: ClosedNeg,
Inverts self
.
Example
let t = Translation3::new(1.0, 2.0, 3.0);
assert_eq!(t * t.inverse(), Translation3::identity());
assert_eq!(t.inverse() * t, Translation3::identity());
// Work in all dimensions.
let t = Translation2::new(1.0, 2.0);
assert_eq!(t * t.inverse(), Translation2::identity());
assert_eq!(t.inverse() * t, Translation2::identity());
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
T: Zero + One,
Const<D>: DimNameAdd<Const<1>>,
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 T: Zero + One, Const<D>: DimNameAdd<Const<1>>, DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
Converts this translation into its equivalent homogeneous transformation matrix.
Example
let t = Translation3::new(10.0, 20.0, 30.0);
let expected = Matrix4::new(1.0, 0.0, 0.0, 10.0,
0.0, 1.0, 0.0, 20.0,
0.0, 0.0, 1.0, 30.0,
0.0, 0.0, 0.0, 1.0);
assert_eq!(t.to_homogeneous(), expected);
let t = Translation2::new(10.0, 20.0);
let expected = Matrix3::new(1.0, 0.0, 10.0,
0.0, 1.0, 20.0,
0.0, 0.0, 1.0);
assert_eq!(t.to_homogeneous(), expected);
sourcepub fn inverse_mut(&mut self)where
T: ClosedNeg,
pub fn inverse_mut(&mut self)where T: ClosedNeg,
Inverts self
in-place.
Example
let t = Translation3::new(1.0, 2.0, 3.0);
let mut inv_t = Translation3::new(1.0, 2.0, 3.0);
inv_t.inverse_mut();
assert_eq!(t * inv_t, Translation3::identity());
assert_eq!(inv_t * t, Translation3::identity());
// Work in all dimensions.
let t = Translation2::new(1.0, 2.0);
let mut inv_t = Translation2::new(1.0, 2.0);
inv_t.inverse_mut();
assert_eq!(t * inv_t, Translation2::identity());
assert_eq!(inv_t * t, Translation2::identity());
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>>
Translate the given point.
This is the same as the multiplication self * pt
.
Example
let t = Translation3::new(1.0, 2.0, 3.0);
let transformed_point = t.transform_point(&Point3::new(4.0, 5.0, 6.0));
assert_eq!(transformed_point, Point3::new(5.0, 7.0, 9.0));
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>>
Translate the given point by the inverse of this translation.
Example
let t = Translation3::new(1.0, 2.0, 3.0);
let transformed_point = t.inverse_transform_point(&Point3::new(4.0, 5.0, 6.0));
assert_eq!(transformed_point, Point3::new(3.0, 3.0, 3.0));
Trait Implementations§
source§impl<T, const D: usize> AbsDiffEq<Translation<T, D>> for Translation<T, D>where
T: Scalar + AbsDiffEq<T>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
impl<T, const D: usize> AbsDiffEq<Translation<T, D>> for Translation<T, D>where T: Scalar + AbsDiffEq<T>, <T as AbsDiffEq<T>>::Epsilon: Clone,
source§fn default_epsilon(
) -> <Translation<T, D> as AbsDiffEq<Translation<T, D>>>::Epsilon
fn default_epsilon( ) -> <Translation<T, D> as AbsDiffEq<Translation<T, D>>>::Epsilon
source§fn abs_diff_eq(
&self,
other: &Translation<T, D>,
epsilon: <Translation<T, D> as AbsDiffEq<Translation<T, D>>>::Epsilon
) -> bool
fn abs_diff_eq( &self, other: &Translation<T, D>, epsilon: <Translation<T, D> as AbsDiffEq<Translation<T, 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
].source§impl<T, const D: usize> Clone for Translation<T, D>where
T: Scalar,
<DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer: Clone,
impl<T, const D: usize> Clone for Translation<T, D>where T: Scalar, <DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer: Clone,
source§fn clone(&self) -> Translation<T, D>
fn clone(&self) -> Translation<T, D>
1.0.0 · source§fn clone_from(&mut self, source: &Self)
fn clone_from(&mut self, source: &Self)
source
. Read moresource§impl<T> Deref for Translation<T, 2>where
T: Scalar,
impl<T> Deref for Translation<T, 2>where T: Scalar,
source§impl<T> DerefMut for Translation<T, 2>where
T: Scalar,
impl<T> DerefMut for Translation<T, 2>where T: Scalar,
source§impl<'a, T, const D: usize> Deserialize<'a> for Translation<T, D>where
T: Scalar,
<DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer: Deserialize<'a>,
impl<'a, T, const D: usize> Deserialize<'a> for Translation<T, D>where T: Scalar, <DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer: Deserialize<'a>,
source§fn deserialize<Des>(
deserializer: Des
) -> Result<Translation<T, D>, <Des as Deserializer<'a>>::Error>where
Des: Deserializer<'a>,
fn deserialize<Des>( deserializer: Des ) -> Result<Translation<T, D>, <Des as Deserializer<'a>>::Error>where Des: Deserializer<'a>,
source§impl<'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for Translation<T, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<'b, T, C, const D: usize> Div<&'b Transform<T, C, D>> for Translation<T, D>where T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField, Const<D>: DimNameAdd<Const<1>>, C: TCategoryMul<TAffine>, DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
§type Output = Transform<T, <C as TCategoryMul<TAffine>>::Representative, D>
type Output = Transform<T, <C as TCategoryMul<TAffine>>::Representative, D>
/
operator.source§impl<'b, T, const D: usize> Div<&'b Translation<T, D>> for Translation<T, D>where
T: Scalar + ClosedSub<T>,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
impl<'b, T, const D: usize> Div<&'b Translation<T, D>> for Translation<T, D>where T: Scalar + ClosedSub<T>, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
§type Output = Translation<T, D>
type Output = Translation<T, D>
/
operator.source§fn div(
self,
right: &'b Translation<T, D>
) -> <Translation<T, D> as Div<&'b Translation<T, D>>>::Output
fn div( self, right: &'b Translation<T, D> ) -> <Translation<T, D> as Div<&'b Translation<T, D>>>::Output
/
operation. Read moresource§impl<T, C, const D: usize> Div<Transform<T, C, D>> for Translation<T, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<T, C, const D: usize> Div<Transform<T, C, D>> for Translation<T, D>where T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField, Const<D>: DimNameAdd<Const<1>>, C: TCategoryMul<TAffine>, DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
§type Output = Transform<T, <C as TCategoryMul<TAffine>>::Representative, D>
type Output = Transform<T, <C as TCategoryMul<TAffine>>::Representative, D>
/
operator.source§impl<T, const D: usize> Div<Translation<T, D>> for Translation<T, D>where
T: Scalar + ClosedSub<T>,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
impl<T, const D: usize> Div<Translation<T, D>> for Translation<T, D>where T: Scalar + ClosedSub<T>, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
§type Output = Translation<T, D>
type Output = Translation<T, D>
/
operator.source§fn div(
self,
right: Translation<T, D>
) -> <Translation<T, D> as Div<Translation<T, D>>>::Output
fn div( self, right: Translation<T, D> ) -> <Translation<T, D> as Div<Translation<T, D>>>::Output
/
operation. Read moresource§impl<'b, T, const D: usize> DivAssign<&'b Translation<T, D>> for Translation<T, D>where
T: Scalar + ClosedSub<T>,
impl<'b, T, const D: usize> DivAssign<&'b Translation<T, D>> for Translation<T, D>where T: Scalar + ClosedSub<T>,
source§fn div_assign(&mut self, right: &'b Translation<T, D>)
fn div_assign(&mut self, right: &'b Translation<T, D>)
/=
operation. Read moresource§impl<T, const D: usize> DivAssign<Translation<T, D>> for Translation<T, D>where
T: Scalar + ClosedSub<T>,
impl<T, const D: usize> DivAssign<Translation<T, D>> for Translation<T, D>where T: Scalar + ClosedSub<T>,
source§fn div_assign(&mut self, right: Translation<T, D>)
fn div_assign(&mut self, right: Translation<T, D>)
/=
operation. Read moresource§impl<T, const D: usize> From<[T; D]> for Translation<T, D>where
T: Scalar,
impl<T, const D: usize> From<[T; D]> for Translation<T, D>where T: Scalar,
source§fn from(coords: [T; D]) -> Translation<T, D>
fn from(coords: [T; D]) -> Translation<T, D>
source§impl<T, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 16]> for Translation<T, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 16]>,
<T as SimdValue>::Element: Scalar,
impl<T, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 16]> for Translation<T, D>where T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 16]>, <T as SimdValue>::Element: Scalar,
source§fn from(
arr: [Translation<<T as SimdValue>::Element, D>; 16]
) -> Translation<T, D>
fn from( arr: [Translation<<T as SimdValue>::Element, D>; 16] ) -> Translation<T, D>
source§impl<T, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 2]> for Translation<T, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 2]>,
<T as SimdValue>::Element: Scalar,
impl<T, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 2]> for Translation<T, D>where T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 2]>, <T as SimdValue>::Element: Scalar,
source§fn from(
arr: [Translation<<T as SimdValue>::Element, D>; 2]
) -> Translation<T, D>
fn from( arr: [Translation<<T as SimdValue>::Element, D>; 2] ) -> Translation<T, D>
source§impl<T, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 4]> for Translation<T, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 4]>,
<T as SimdValue>::Element: Scalar,
impl<T, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 4]> for Translation<T, D>where T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 4]>, <T as SimdValue>::Element: Scalar,
source§fn from(
arr: [Translation<<T as SimdValue>::Element, D>; 4]
) -> Translation<T, D>
fn from( arr: [Translation<<T as SimdValue>::Element, D>; 4] ) -> Translation<T, D>
source§impl<T, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 8]> for Translation<T, D>where
T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 8]>,
<T as SimdValue>::Element: Scalar,
impl<T, const D: usize> From<[Translation<<T as SimdValue>::Element, D>; 8]> for Translation<T, D>where T: Scalar + PrimitiveSimdValue + From<[<T as SimdValue>::Element; 8]>, <T as SimdValue>::Element: Scalar,
source§fn from(
arr: [Translation<<T as SimdValue>::Element, D>; 8]
) -> Translation<T, D>
fn from( arr: [Translation<<T as SimdValue>::Element, D>; 8] ) -> Translation<T, D>
source§impl<T, const D: usize> From<Matrix<T, Const<D>, Const<1>, <DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer>> for Translation<T, D>where
T: Scalar,
impl<T, const D: usize> From<Matrix<T, Const<D>, Const<1>, <DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer>> for Translation<T, D>where T: Scalar,
source§impl<T, const D: usize> Hash for Translation<T, D>where
T: Scalar + Hash,
<DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer: Hash,
impl<T, const D: usize> Hash for Translation<T, D>where T: Scalar + Hash, <DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer: Hash,
source§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>,
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>,
source§impl<'b, T, const D: usize> Mul<&'b OPoint<T, Const<D>>> for Translation<T, D>where
T: Scalar + ClosedAdd<T>,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
impl<'b, T, const D: usize> Mul<&'b OPoint<T, Const<D>>> for Translation<T, D>where T: Scalar + ClosedAdd<T>, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
source§impl<'b, T, const D: usize> Mul<&'b Rotation<T, D>> for Translation<T, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T, const D: usize> Mul<&'b Rotation<T, D>> for Translation<T, D>where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,
source§impl<'b, T, R, const D: usize> Mul<&'b Similarity<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 Similarity<T, R, D>> for Translation<T, 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.source§fn mul(
self,
right: &'b Similarity<T, R, D>
) -> <Translation<T, D> as Mul<&'b Similarity<T, R, D>>>::Output
fn mul( self, right: &'b Similarity<T, R, D> ) -> <Translation<T, D> as Mul<&'b Similarity<T, R, D>>>::Output
*
operation. Read moresource§impl<'b, T, C, const D: usize> Mul<&'b Transform<T, C, D>> for Translation<T, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<'b, T, C, const D: usize> Mul<&'b Transform<T, C, D>> for Translation<T, D>where T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField, Const<D>: DimNameAdd<Const<1>>, C: TCategoryMul<TAffine>, DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
§type Output = Transform<T, <C as TCategoryMul<TAffine>>::Representative, D>
type Output = Transform<T, <C as TCategoryMul<TAffine>>::Representative, D>
*
operator.source§impl<'b, T, const D: usize> Mul<&'b Translation<T, D>> for Translation<T, D>where
T: Scalar + ClosedAdd<T>,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
impl<'b, T, const D: usize> Mul<&'b Translation<T, D>> for Translation<T, D>where T: Scalar + ClosedAdd<T>, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
§type Output = Translation<T, D>
type Output = Translation<T, D>
*
operator.source§fn mul(
self,
right: &'b Translation<T, D>
) -> <Translation<T, D> as Mul<&'b Translation<T, D>>>::Output
fn mul( self, right: &'b Translation<T, D> ) -> <Translation<T, D> as Mul<&'b Translation<T, D>>>::Output
*
operation. Read moresource§impl<'b, T> Mul<&'b Unit<Complex<T>>> for Translation<T, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<'b, T> Mul<&'b Unit<Complex<T>>> for Translation<T, 2>where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,
source§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>,
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>,
source§impl<T, const D: usize> Mul<OPoint<T, Const<D>>> for Translation<T, D>where
T: Scalar + ClosedAdd<T>,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
impl<T, const D: usize> Mul<OPoint<T, Const<D>>> for Translation<T, D>where T: Scalar + ClosedAdd<T>, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
source§impl<T, const D: usize> Mul<Rotation<T, D>> for Translation<T, D>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T, const D: usize> Mul<Rotation<T, D>> for Translation<T, D>where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,
source§impl<T, R, const D: usize> Mul<Similarity<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<Similarity<T, R, D>> for Translation<T, 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.source§fn mul(
self,
right: Similarity<T, R, D>
) -> <Translation<T, D> as Mul<Similarity<T, R, D>>>::Output
fn mul( self, right: Similarity<T, R, D> ) -> <Translation<T, D> as Mul<Similarity<T, R, D>>>::Output
*
operation. Read moresource§impl<T, C, const D: usize> Mul<Transform<T, C, D>> for Translation<T, D>where
T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField,
Const<D>: DimNameAdd<Const<1>>,
C: TCategoryMul<TAffine>,
DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
impl<T, C, const D: usize> Mul<Transform<T, C, D>> for Translation<T, D>where T: Scalar + Zero + One + ClosedAdd<T> + ClosedMul<T> + RealField, Const<D>: DimNameAdd<Const<1>>, C: TCategoryMul<TAffine>, DefaultAllocator: Allocator<T, <Const<D> as DimNameAdd<Const<1>>>::Output, <Const<D> as DimNameAdd<Const<1>>>::Output>,
§type Output = Transform<T, <C as TCategoryMul<TAffine>>::Representative, D>
type Output = Transform<T, <C as TCategoryMul<TAffine>>::Representative, D>
*
operator.source§impl<T, const D: usize> Mul<Translation<T, D>> for Translation<T, D>where
T: Scalar + ClosedAdd<T>,
ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
impl<T, const D: usize> Mul<Translation<T, D>> for Translation<T, D>where T: Scalar + ClosedAdd<T>, ShapeConstraint: SameNumberOfRows<Const<D>, Const<D>, Representative = Const<D>> + SameNumberOfColumns<Const<1>, Const<1>, Representative = Const<1>>,
§type Output = Translation<T, D>
type Output = Translation<T, D>
*
operator.source§fn mul(
self,
right: Translation<T, D>
) -> <Translation<T, D> as Mul<Translation<T, D>>>::Output
fn mul( self, right: Translation<T, D> ) -> <Translation<T, D> as Mul<Translation<T, D>>>::Output
*
operation. Read moresource§impl<T> Mul<Unit<Complex<T>>> for Translation<T, 2>where
T: SimdRealField,
<T as SimdValue>::Element: SimdRealField,
impl<T> Mul<Unit<Complex<T>>> for Translation<T, 2>where T: SimdRealField, <T as SimdValue>::Element: SimdRealField,
source§impl<'b, T, const D: usize> MulAssign<&'b Translation<T, D>> for Translation<T, D>where
T: Scalar + ClosedAdd<T>,
impl<'b, T, const D: usize> MulAssign<&'b Translation<T, D>> for Translation<T, D>where T: Scalar + ClosedAdd<T>,
source§fn mul_assign(&mut self, right: &'b Translation<T, D>)
fn mul_assign(&mut self, right: &'b Translation<T, D>)
*=
operation. Read moresource§impl<T, const D: usize> MulAssign<Translation<T, D>> for Translation<T, D>where
T: Scalar + ClosedAdd<T>,
impl<T, const D: usize> MulAssign<Translation<T, D>> for Translation<T, D>where T: Scalar + ClosedAdd<T>,
source§fn mul_assign(&mut self, right: Translation<T, D>)
fn mul_assign(&mut self, right: Translation<T, D>)
*=
operation. Read moresource§impl<T, const D: usize> One for Translation<T, D>where
T: Scalar + Zero + ClosedAdd<T>,
impl<T, const D: usize> One for Translation<T, D>where T: Scalar + Zero + ClosedAdd<T>,
source§fn one() -> Translation<T, D>
fn one() -> Translation<T, D>
source§impl<T, const D: usize> PartialEq<Translation<T, D>> for Translation<T, D>where
T: Scalar + PartialEq<T>,
impl<T, const D: usize> PartialEq<Translation<T, D>> for Translation<T, D>where T: Scalar + PartialEq<T>,
source§fn eq(&self, right: &Translation<T, D>) -> bool
fn eq(&self, right: &Translation<T, D>) -> bool
self
and other
values to be equal, and is used
by ==
.source§impl<T, const D: usize> RelativeEq<Translation<T, D>> for Translation<T, D>where
T: Scalar + RelativeEq<T>,
<T as AbsDiffEq<T>>::Epsilon: Clone,
impl<T, const D: usize> RelativeEq<Translation<T, D>> for Translation<T, D>where T: Scalar + RelativeEq<T>, <T as AbsDiffEq<T>>::Epsilon: Clone,
source§fn default_max_relative(
) -> <Translation<T, D> as AbsDiffEq<Translation<T, D>>>::Epsilon
fn default_max_relative( ) -> <Translation<T, D> as AbsDiffEq<Translation<T, D>>>::Epsilon
source§fn relative_eq(
&self,
other: &Translation<T, D>,
epsilon: <Translation<T, D> as AbsDiffEq<Translation<T, D>>>::Epsilon,
max_relative: <Translation<T, D> as AbsDiffEq<Translation<T, D>>>::Epsilon
) -> bool
fn relative_eq( &self, other: &Translation<T, D>, epsilon: <Translation<T, D> as AbsDiffEq<Translation<T, D>>>::Epsilon, max_relative: <Translation<T, D> as AbsDiffEq<Translation<T, 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
].source§impl<T, const D: usize> Serialize for Translation<T, D>where
T: Scalar,
<DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer: Serialize,
impl<T, const D: usize> Serialize for Translation<T, D>where T: Scalar, <DefaultAllocator as Allocator<T, Const<D>, Const<1>>>::Buffer: Serialize,
source§fn serialize<S>(
&self,
serializer: S
) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>where
S: Serializer,
fn serialize<S>( &self, serializer: S ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>where S: Serializer,
source§impl<T, const D: usize> SimdValue for Translation<T, D>where
T: Scalar + SimdValue,
<T as SimdValue>::Element: Scalar,
impl<T, const D: usize> SimdValue for Translation<T, D>where T: Scalar + SimdValue, <T as SimdValue>::Element: Scalar,
§type Element = Translation<<T as SimdValue>::Element, D>
type Element = Translation<<T as SimdValue>::Element, D>
§type SimdBool = <T as SimdValue>::SimdBool
type SimdBool = <T as SimdValue>::SimdBool
self
.source§fn splat(val: <Translation<T, D> as SimdValue>::Element) -> Translation<T, D>
fn splat(val: <Translation<T, D> as SimdValue>::Element) -> Translation<T, D>
val
.source§fn extract(&self, i: usize) -> <Translation<T, D> as SimdValue>::Element
fn extract(&self, i: usize) -> <Translation<T, D> as SimdValue>::Element
self
. Read moresource§unsafe fn extract_unchecked(
&self,
i: usize
) -> <Translation<T, D> as SimdValue>::Element
unsafe fn extract_unchecked( &self, i: usize ) -> <Translation<T, D> as SimdValue>::Element
self
without bound-checking.source§unsafe fn replace_unchecked(
&mut self,
i: usize,
val: <Translation<T, D> as SimdValue>::Element
)
unsafe fn replace_unchecked( &mut self, i: usize, val: <Translation<T, D> as SimdValue>::Element )
self
by val
without bound-checking.source§fn select(
self,
cond: <Translation<T, D> as SimdValue>::SimdBool,
other: Translation<T, D>
) -> Translation<T, D>
fn select( self, cond: <Translation<T, D> as SimdValue>::SimdBool, other: Translation<T, D> ) -> Translation<T, D>
source§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>,
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>,
source§fn to_superset(&self) -> Isometry<T2, R, D>
fn to_superset(&self) -> Isometry<T2, R, D>
self
to the equivalent element of its superset.source§fn 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).source§fn 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 moresource§impl<T1, T2, 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 Translation<T1, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
Const<D>: DimNameAdd<Const<1>>,
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, 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 Translation<T1, D>where T1: RealField, T2: RealField + SupersetOf<T1>, Const<D>: DimNameAdd<Const<1>>, 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>,
source§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>
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.source§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
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).source§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>
) -> Translation<T1, 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> ) -> 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 moresource§impl<T1, T2, R, const D: usize> SubsetOf<Similarity<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<Similarity<T2, R, D>> for Translation<T1, D>where T1: RealField, T2: RealField + SupersetOf<T1>, R: AbstractRotation<T2, D>,
source§fn to_superset(&self) -> Similarity<T2, R, D>
fn to_superset(&self) -> Similarity<T2, R, D>
self
to the equivalent element of its superset.source§fn is_in_subset(sim: &Similarity<T2, R, D>) -> bool
fn is_in_subset(sim: &Similarity<T2, R, D>) -> bool
element
is actually part of the subset Self
(and can be converted to it).source§fn from_superset_unchecked(sim: &Similarity<T2, R, D>) -> Translation<T1, D>
fn from_superset_unchecked(sim: &Similarity<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 moresource§impl<T1, T2, C, const D: usize> SubsetOf<Transform<T2, C, D>> for Translation<T1, D>where
T1: RealField,
T2: RealField + SupersetOf<T1>,
C: SuperTCategoryOf<TAffine>,
Const<D>: DimNameAdd<Const<1>>,
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, C, const D: usize> SubsetOf<Transform<T2, C, D>> for Translation<T1, D>where T1: RealField, T2: RealField + SupersetOf<T1>, C: SuperTCategoryOf<TAffine>, Const<D>: DimNameAdd<Const<1>>, 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>,
source§fn to_superset(&self) -> Transform<T2, C, D>
fn to_superset(&self) -> Transform<T2, C, D>
self
to the equivalent element of its superset.source§fn 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).source§fn from_superset_unchecked(t: &Transform<T2, C, D>) -> Translation<T1, D>
fn from_superset_unchecked(t: &Transform<T2, C, 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 moresource§impl<T1, T2, const D: usize> SubsetOf<Translation<T2, D>> for Translation<T1, D>where
T1: Scalar,
T2: Scalar + SupersetOf<T1>,
impl<T1, T2, const D: usize> SubsetOf<Translation<T2, D>> for Translation<T1, D>where T1: Scalar, T2: Scalar + SupersetOf<T1>,
source§fn to_superset(&self) -> Translation<T2, D>
fn to_superset(&self) -> Translation<T2, D>
self
to the equivalent element of its superset.source§fn is_in_subset(rot: &Translation<T2, D>) -> bool
fn is_in_subset(rot: &Translation<T2, D>) -> bool
element
is actually part of the subset Self
(and can be converted to it).source§fn from_superset_unchecked(rot: &Translation<T2, D>) -> Translation<T1, D>
fn from_superset_unchecked(rot: &Translation<T2, 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 more