Rotation is generalized over dimensions
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3 changed files with 65 additions and 42 deletions
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@ -13,9 +13,10 @@
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// See the License for the specific language governing permissions and
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// limitations under the License.
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use point::{Point,Point2, Point3};
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use vector::{Vector,Vec2, Vec3};
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use point::{Point, Point2, Point3};
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use vector::{Vector, Vec2, Vec3};
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/// A generic ray
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#[deriving(Clone, Eq)]
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pub struct Ray<P,V>
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{
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@ -17,49 +17,65 @@ use angle::Rad;
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use matrix::Matrix;
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use matrix::{Mat2, ToMat2};
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use matrix::{Mat3, ToMat3};
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use point::{Point2, Point3};
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use point::{Point, Point2, Point3};
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use quaternion::{Quat, ToQuat};
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use ray::{Ray2, Ray3};
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use ray::{Ray, Ray2, Ray3};
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use vector::{Vector, Vec2, Vec3};
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/// A trait for generic rotation
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pub trait Rotation
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<
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S: Primitive + Clone,
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Slice,
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V: Vector<S,Slice>,
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P: Point<S,V,Slice> + Clone
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>
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: Eq
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+ ApproxEq<S>
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{
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fn rotate_point(&self, point: &P) -> P;
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fn rotate_vec(&self, vec: &V) -> V;
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#[inline]
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fn rotate_ray(&self, ray: &Ray<P,V>) -> Ray<P,V> {
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Ray::new( ray.origin.clone(), self.rotate_vec(&ray.direction) )
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}
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fn concat(&self, other: &Self) -> Self;
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fn invert(&self) -> Self;
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#[inline]
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fn concat_self(&mut self, other: &Self) {
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*self = self.concat(other);
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}
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#[inline]
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fn invert_self(&mut self) {
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*self = self.invert();
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}
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}
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/// A two-dimensional rotation
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pub trait Rotation2
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<
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S
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>
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: Eq
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+ ApproxEq<S>
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: Rotation<S, [S, ..2], Vec2<S>, Point2<S>>
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+ ToMat2<S>
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+ ToBasis2<S>
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{
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fn rotate_point2(&self, point: &Point2<S>) -> Point2<S>;
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fn rotate_vec2(&self, vec: &Vec2<S>) -> Vec2<S>;
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fn rotate_ray2(&self, ray: &Ray2<S>) -> Ray2<S>;
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fn concat(&self, other: &Self) -> Self;
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fn concat_self(&mut self, other: &Self);
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fn invert(&self) -> Self;
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fn invert_self(&mut self);
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}
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{}
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/// A three-dimensional rotation
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pub trait Rotation3
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<
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S
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>
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: Eq
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+ ApproxEq<S>
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: Rotation<S, [S, ..3], Vec3<S>, Point3<S>>
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+ ToMat3<S>
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+ ToBasis3<S>
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+ ToQuat<S>
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{
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fn rotate_point3(&self, point: &Point3<S>) -> Point3<S>;
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fn rotate_vec3(&self, vec: &Vec3<S>) -> Vec3<S>;
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fn rotate_ray3(&self, ray: &Ray3<S>) -> Ray3<S>;
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fn concat(&self, other: &Self) -> Self;
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fn concat_self(&mut self, other: &Self);
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fn invert(&self) -> Self;
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fn invert_self(&mut self);
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}
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{}
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/// A two-dimensional rotation matrix.
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///
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@ -91,15 +107,15 @@ impl<S: Float> ToMat2<S> for Basis2<S> {
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fn to_mat2(&self) -> Mat2<S> { self.mat.clone() }
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}
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impl<S: Float> Rotation2<S> for Basis2<S> {
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impl<S: Float> Rotation<S, [S, ..2], Vec2<S>, Point2<S>> for Basis2<S> {
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#[inline]
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fn rotate_point2(&self, _point: &Point2<S>) -> Point2<S> { fail!("Not yet implemented") }
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fn rotate_point(&self, _point: &Point2<S>) -> Point2<S> { fail!("Not yet implemented") }
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#[inline]
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fn rotate_vec2(&self, vec: &Vec2<S>) -> Vec2<S> { self.mat.mul_v(vec) }
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fn rotate_vec(&self, vec: &Vec2<S>) -> Vec2<S> { self.mat.mul_v(vec) }
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#[inline]
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fn rotate_ray2(&self, _ray: &Ray2<S>) -> Ray2<S> { fail!("Not yet implemented") }
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fn rotate_ray(&self, _ray: &Ray2<S>) -> Ray2<S> { fail!("Not yet implemented") }
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#[inline]
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fn concat(&self, other: &Basis2<S>) -> Basis2<S> { Basis2 { mat: self.mat.mul_m(&other.mat) } }
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@ -136,6 +152,8 @@ impl<S: Float> ApproxEq<S> for Basis2<S> {
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}
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}
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impl<S: Float> Rotation2<S> for Basis2<S> {}
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/// A three-dimensional rotation matrix.
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///
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/// The matrix is guaranteed to be orthogonal, so some operations, specifically
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@ -207,15 +225,15 @@ impl<S: Float> ToQuat<S> for Basis3<S> {
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fn to_quat(&self) -> Quat<S> { self.mat.to_quat() }
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}
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impl<S: Float> Rotation3<S> for Basis3<S> {
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impl<S: Float> Rotation<S, [S, ..3], Vec3<S>, Point3<S>> for Basis3<S> {
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#[inline]
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fn rotate_point3(&self, _point: &Point3<S>) -> Point3<S> { fail!("Not yet implemented") }
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fn rotate_point(&self, _point: &Point3<S>) -> Point3<S> { fail!("Not yet implemented") }
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#[inline]
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fn rotate_vec3(&self, vec: &Vec3<S>) -> Vec3<S> { self.mat.mul_v(vec) }
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fn rotate_vec(&self, vec: &Vec3<S>) -> Vec3<S> { self.mat.mul_v(vec) }
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#[inline]
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fn rotate_ray3(&self, _ray: &Ray3<S>) -> Ray3<S> { fail!("Not yet implemented") }
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fn rotate_ray(&self, _ray: &Ray3<S>) -> Ray3<S> { fail!("Not yet implemented") }
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#[inline]
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fn concat(&self, other: &Basis3<S>) -> Basis3<S> { Basis3 { mat: self.mat.mul_m(&other.mat) } }
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@ -252,6 +270,8 @@ impl<S: Float> ApproxEq<S> for Basis3<S> {
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}
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}
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impl<S: Float> Rotation3<S> for Basis3<S> {}
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// Quaternion Rotation impls
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impl<S: Float> ToBasis3<S> for Quat<S> {
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@ -264,15 +284,15 @@ impl<S: Float> ToQuat<S> for Quat<S> {
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fn to_quat(&self) -> Quat<S> { self.clone() }
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}
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impl<S: Float> Rotation3<S> for Quat<S> {
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impl<S: Float> Rotation<S, [S, ..3], Vec3<S>, Point3<S>> for Quat<S> {
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#[inline]
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fn rotate_point3(&self, _point: &Point3<S>) -> Point3<S> { fail!("Not yet implemented") }
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fn rotate_point(&self, _point: &Point3<S>) -> Point3<S> { fail!("Not yet implemented") }
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#[inline]
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fn rotate_vec3(&self, vec: &Vec3<S>) -> Vec3<S> { self.mul_v(vec) }
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fn rotate_vec(&self, vec: &Vec3<S>) -> Vec3<S> { self.mul_v(vec) }
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#[inline]
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fn rotate_ray3(&self, _ray: &Ray3<S>) -> Ray3<S> { fail!("Not yet implemented") }
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fn rotate_ray(&self, _ray: &Ray3<S>) -> Ray3<S> { fail!("Not yet implemented") }
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#[inline]
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fn concat(&self, other: &Quat<S>) -> Quat<S> { self.mul_q(other) }
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@ -286,3 +306,5 @@ impl<S: Float> Rotation3<S> for Quat<S> {
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#[inline]
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fn invert_self(&mut self) { *self = self.invert() }
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}
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impl<S: Float> Rotation3<S> for Quat<S> {}
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@ -14,10 +14,10 @@
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// limitations under the License.
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use matrix::Mat4;
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use point::{Point,Point3};
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use point::{Point, Point3};
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use ray::Ray;
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use rotation::Rotation3;
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use vector::{Vector,Vec3};
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use vector::{Vector, Vec3};
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/// A trait of affine transformation, that can be applied to points or vectors
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pub trait Transform
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@ -60,11 +60,11 @@ impl<S: Float, R: Rotation3<S>> Transform3<S, R> {
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impl <S: Float, R: Rotation3<S>> Transform<S, [S, .. 3], Vec3<S>, Point3<S>> for Transform3<S,R> {
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#[inline]
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fn transform_vec(&self, vec: &Vec3<S>) -> Vec3<S> {
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self.rot.rotate_vec3( &vec.mul_s( self.scale.clone() ))
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self.rot.rotate_vec( &vec.mul_s( self.scale.clone() ))
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}
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#[inline]
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fn transform_point(&self, point: &Point3<S>) -> Point3<S> {
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self.rot.rotate_point3( &point.mul_s( self.scale.clone() )).add_v( &self.disp )
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self.rot.rotate_point( &point.mul_s( self.scale.clone() )).add_v( &self.disp )
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}
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}
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