forked from M-Labs/nalgebra
99b6181b1e
See comments on #207 for details.
213 lines
7.3 KiB
Rust
213 lines
7.3 KiB
Rust
use num::Zero;
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use alga::general::{SubsetOf, SupersetOf, Real};
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use alga::linear::Rotation as AlgaRotation;
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use core::{ColumnVector, SquareMatrix};
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use core::dimension::{U1, U3, U4};
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use core::storage::OwnedStorage;
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use core::allocator::{Allocator, OwnedAllocator};
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use geometry::{PointBase, QuaternionBase, UnitQuaternionBase, OwnedUnitQuaternionBase, RotationBase,
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OwnedRotation, IsometryBase, SimilarityBase, TransformBase, SuperTCategoryOf, TAffine, TranslationBase};
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/*
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* This file provides the following conversions:
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* =============================================
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*
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* Quaternion -> Quaternion
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* UnitQuaternion -> UnitQuaternion
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* UnitQuaternion -> RotationBase<U3>
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* UnitQuaternion -> IsometryBase<U3>
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* UnitQuaternion -> SimilarityBase<U3>
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* UnitQuaternion -> TransformBase<U3>
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* UnitQuaternion -> Matrix<U4> (homogeneous)
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*
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* NOTE:
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* UnitQuaternion -> Quaternion is already provided by: Unit<T> -> T
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*/
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impl<N1, N2, SA, SB> SubsetOf<QuaternionBase<N2, SB>> for QuaternionBase<N1, SA>
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where N1: Real,
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N2: Real + SupersetOf<N1>,
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SA: OwnedStorage<N1, U4, U1>,
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SB: OwnedStorage<N2, U4, U1>,
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SA::Alloc: OwnedAllocator<N1, U4, U1, SA>,
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SB::Alloc: OwnedAllocator<N2, U4, U1, SB> {
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#[inline]
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fn to_superset(&self) -> QuaternionBase<N2, SB> {
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QuaternionBase::from_vector(self.coords.to_superset())
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}
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#[inline]
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fn is_in_subset(q: &QuaternionBase<N2, SB>) -> bool {
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::is_convertible::<_, ColumnVector<N1, U4, SA>>(&q.coords)
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}
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#[inline]
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unsafe fn from_superset_unchecked(q: &QuaternionBase<N2, SB>) -> Self {
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Self::from_vector(q.coords.to_subset_unchecked())
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}
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}
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impl<N1, N2, SA, SB> SubsetOf<UnitQuaternionBase<N2, SB>> for UnitQuaternionBase<N1, SA>
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where N1: Real,
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N2: Real + SupersetOf<N1>,
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SA: OwnedStorage<N1, U4, U1>,
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SB: OwnedStorage<N2, U4, U1>,
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SA::Alloc: OwnedAllocator<N1, U4, U1, SA>,
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SB::Alloc: OwnedAllocator<N2, U4, U1, SB> {
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#[inline]
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fn to_superset(&self) -> UnitQuaternionBase<N2, SB> {
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UnitQuaternionBase::new_unchecked(self.as_ref().to_superset())
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}
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#[inline]
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fn is_in_subset(uq: &UnitQuaternionBase<N2, SB>) -> bool {
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::is_convertible::<_, QuaternionBase<N1, SA>>(uq.as_ref())
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}
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#[inline]
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unsafe fn from_superset_unchecked(uq: &UnitQuaternionBase<N2, SB>) -> Self {
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Self::new_unchecked(::convert_ref_unchecked(uq.as_ref()))
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}
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}
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impl<N1, N2, SA, SB> SubsetOf<RotationBase<N2, U3, SB>> for UnitQuaternionBase<N1, SA>
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where N1: Real,
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N2: Real + SupersetOf<N1>,
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SA: OwnedStorage<N1, U4, U1>,
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SB: OwnedStorage<N2, U3, U3>,
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SA::Alloc: OwnedAllocator<N1, U4, U1, SA> +
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Allocator<N1, U3, U3>,
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SB::Alloc: OwnedAllocator<N2, U3, U3, SB> +
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Allocator<N2, U4, U1> +
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Allocator<N2, U3, U1> {
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#[inline]
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fn to_superset(&self) -> RotationBase<N2, U3, SB> {
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let q: OwnedUnitQuaternionBase<N2, SB::Alloc> = self.to_superset();
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q.to_rotation_matrix()
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}
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#[inline]
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fn is_in_subset(rot: &RotationBase<N2, U3, SB>) -> bool {
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::is_convertible::<_, OwnedRotation<N1, U3, SA::Alloc>>(rot)
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}
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#[inline]
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unsafe fn from_superset_unchecked(rot: &RotationBase<N2, U3, SB>) -> Self {
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let q = OwnedUnitQuaternionBase::<N2, SB::Alloc>::from_rotation_matrix(rot);
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::convert_unchecked(q)
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}
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}
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impl<N1, N2, SA, SB, R> SubsetOf<IsometryBase<N2, U3, SB, R>> for UnitQuaternionBase<N1, SA>
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where N1: Real,
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N2: Real + SupersetOf<N1>,
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SA: OwnedStorage<N1, U4, U1>,
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SB: OwnedStorage<N2, U3, U1>,
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R: AlgaRotation<PointBase<N2, U3, SB>> + SupersetOf<UnitQuaternionBase<N1, SA>>,
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SA::Alloc: OwnedAllocator<N1, U4, U1, SA>,
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SB::Alloc: OwnedAllocator<N2, U3, U1, SB> {
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#[inline]
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fn to_superset(&self) -> IsometryBase<N2, U3, SB, R> {
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IsometryBase::from_parts(TranslationBase::identity(), ::convert_ref(self))
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}
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#[inline]
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fn is_in_subset(iso: &IsometryBase<N2, U3, SB, R>) -> bool {
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iso.translation.vector.is_zero()
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}
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#[inline]
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unsafe fn from_superset_unchecked(iso: &IsometryBase<N2, U3, SB, R>) -> Self {
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::convert_ref_unchecked(&iso.rotation)
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}
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}
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impl<N1, N2, SA, SB, R> SubsetOf<SimilarityBase<N2, U3, SB, R>> for UnitQuaternionBase<N1, SA>
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where N1: Real,
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N2: Real + SupersetOf<N1>,
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SA: OwnedStorage<N1, U4, U1>,
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SB: OwnedStorage<N2, U3, U1>,
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R: AlgaRotation<PointBase<N2, U3, SB>> + SupersetOf<UnitQuaternionBase<N1, SA>>,
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SA::Alloc: OwnedAllocator<N1, U4, U1, SA>,
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SB::Alloc: OwnedAllocator<N2, U3, U1, SB> {
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#[inline]
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fn to_superset(&self) -> SimilarityBase<N2, U3, SB, R> {
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SimilarityBase::from_isometry(::convert_ref(self), N2::one())
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}
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#[inline]
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fn is_in_subset(sim: &SimilarityBase<N2, U3, SB, R>) -> bool {
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sim.isometry.translation.vector.is_zero() &&
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sim.scaling() == N2::one()
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}
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#[inline]
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unsafe fn from_superset_unchecked(sim: &SimilarityBase<N2, U3, SB, R>) -> Self {
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::convert_ref_unchecked(&sim.isometry)
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}
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}
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impl<N1, N2, SA, SB, C> SubsetOf<TransformBase<N2, U3, SB, C>> for UnitQuaternionBase<N1, SA>
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where N1: Real,
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N2: Real + SupersetOf<N1>,
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SA: OwnedStorage<N1, U4, U1>,
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SB: OwnedStorage<N2, U4, U4>,
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C: SuperTCategoryOf<TAffine>,
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SA::Alloc: OwnedAllocator<N1, U4, U1, SA> +
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Allocator<N1, U3, U3> +
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Allocator<N1, U3, U1> +
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Allocator<N1, U4, U4>,
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SB::Alloc: OwnedAllocator<N2, U4, U4, SB> +
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Allocator<N2, U3, U3> +
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Allocator<N2, U1, U3> {
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#[inline]
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fn to_superset(&self) -> TransformBase<N2, U3, SB, C> {
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TransformBase::from_matrix_unchecked(self.to_homogeneous().to_superset())
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}
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#[inline]
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fn is_in_subset(t: &TransformBase<N2, U3, SB, C>) -> bool {
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<Self as SubsetOf<_>>::is_in_subset(t.matrix())
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}
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#[inline]
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unsafe fn from_superset_unchecked(t: &TransformBase<N2, U3, SB, C>) -> Self {
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Self::from_superset_unchecked(t.matrix())
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}
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}
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impl<N1, N2, SA, SB> SubsetOf<SquareMatrix<N2, U4, SB>> for UnitQuaternionBase<N1, SA>
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where N1: Real,
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N2: Real + SupersetOf<N1>,
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SA: OwnedStorage<N1, U4, U1>,
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SB: OwnedStorage<N2, U4, U4>,
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SA::Alloc: OwnedAllocator<N1, U4, U1, SA> +
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Allocator<N1, U3, U3> +
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Allocator<N1, U3, U1> +
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Allocator<N1, U4, U4>,
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SB::Alloc: OwnedAllocator<N2, U4, U4, SB> +
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Allocator<N2, U3, U3> +
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Allocator<N2, U1, U3> {
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#[inline]
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fn to_superset(&self) -> SquareMatrix<N2, U4, SB> {
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self.to_homogeneous().to_superset()
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}
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#[inline]
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fn is_in_subset(m: &SquareMatrix<N2, U4, SB>) -> bool {
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::is_convertible::<_, OwnedRotation<N1, U3, SA::Alloc>>(m)
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}
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#[inline]
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unsafe fn from_superset_unchecked(m: &SquareMatrix<N2, U4, SB>) -> Self {
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let rot: OwnedRotation<N1, U3, SA::Alloc> = ::convert_ref_unchecked(m);
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Self::from_rotation_matrix(&rot)
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}
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}
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