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@@ -56,7 +56,7 @@ EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(_Scalar,_AmbientDim)
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/** Default constructor initializing a null box. */
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inline explicit AlignedBox()
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inline AlignedBox()
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{ if (AmbientDimAtCompileTime!=Dynamic) setEmpty(); }
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/** Constructs a null box with \a _dim the dimension of the ambient space. */
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@@ -27,56 +27,75 @@ namespace Eigen {
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* * AngleAxisf(ea[1], Vector3f::UnitX())
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* * AngleAxisf(ea[2], Vector3f::UnitZ()); \endcode
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* This corresponds to the right-multiply conventions (with right hand side frames).
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*
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* The returned angles are in the ranges [0:pi]x[0:pi]x[-pi:pi].
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*
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* \sa class AngleAxis
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*/
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template<typename Derived>
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inline Matrix<typename MatrixBase<Derived>::Scalar,3,1>
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MatrixBase<Derived>::eulerAngles(Index a0, Index a1, Index a2) const
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{
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using std::atan2;
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using std::sin;
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using std::cos;
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/* Implemented from Graphics Gems IV */
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EIGEN_STATIC_ASSERT_MATRIX_SPECIFIC_SIZE(Derived,3,3)
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Matrix<Scalar,3,1> res;
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typedef Matrix<typename Derived::Scalar,2,1> Vector2;
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const Scalar epsilon = NumTraits<Scalar>::dummy_precision();
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const Index odd = ((a0+1)%3 == a1) ? 0 : 1;
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const Index i = a0;
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const Index j = (a0 + 1 + odd)%3;
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const Index k = (a0 + 2 - odd)%3;
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if (a0==a2)
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{
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Scalar s = Vector2(coeff(j,i) , coeff(k,i)).norm();
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res[1] = atan2(s, coeff(i,i));
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if (s > epsilon)
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res[0] = atan2(coeff(j,i), coeff(k,i));
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if((odd && res[0]<Scalar(0)) || ((!odd) && res[0]>Scalar(0)))
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{
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res[0] = atan2(coeff(j,i), coeff(k,i));
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res[2] = atan2(coeff(i,j),-coeff(i,k));
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res[0] = (res[0] > Scalar(0)) ? res[0] - Scalar(M_PI) : res[0] + Scalar(M_PI);
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Scalar s2 = Vector2(coeff(j,i), coeff(k,i)).norm();
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res[1] = -atan2(s2, coeff(i,i));
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}
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else
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{
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res[0] = Scalar(0);
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res[2] = (coeff(i,i)>0?1:-1)*atan2(-coeff(k,j), coeff(j,j));
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Scalar s2 = Vector2(coeff(j,i), coeff(k,i)).norm();
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res[1] = atan2(s2, coeff(i,i));
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}
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}
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// With a=(0,1,0), we have i=0; j=1; k=2, and after computing the first two angles,
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// we can compute their respective rotation, and apply its inverse to M. Since the result must
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// be a rotation around x, we have:
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//
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// c2 s1.s2 c1.s2 1 0 0
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// 0 c1 -s1 * M = 0 c3 s3
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// -s2 s1.c2 c1.c2 0 -s3 c3
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//
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// Thus: m11.c1 - m21.s1 = c3 & m12.c1 - m22.s1 = s3
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Scalar s1 = sin(res[0]);
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Scalar c1 = cos(res[0]);
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res[2] = atan2(c1*coeff(j,k)-s1*coeff(k,k), c1*coeff(j,j) - s1 * coeff(k,j));
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}
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else
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{
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Scalar c = Vector2(coeff(i,i) , coeff(i,j)).norm();
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res[1] = atan2(-coeff(i,k), c);
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if (c > epsilon)
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{
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res[0] = atan2(coeff(j,k), coeff(k,k));
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res[2] = atan2(coeff(i,j), coeff(i,i));
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res[0] = atan2(coeff(j,k), coeff(k,k));
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Scalar c2 = Vector2(coeff(i,i), coeff(i,j)).norm();
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if((odd && res[0]<Scalar(0)) || ((!odd) && res[0]>Scalar(0))) {
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res[0] = (res[0] > Scalar(0)) ? res[0] - Scalar(M_PI) : res[0] + Scalar(M_PI);
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res[1] = atan2(-coeff(i,k), -c2);
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}
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else
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{
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res[0] = Scalar(0);
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res[2] = (coeff(i,k)>0?1:-1)*atan2(-coeff(k,j), coeff(j,j));
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}
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res[1] = atan2(-coeff(i,k), c2);
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Scalar s1 = sin(res[0]);
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Scalar c1 = cos(res[0]);
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res[2] = atan2(s1*coeff(k,i)-c1*coeff(j,i), c1*coeff(j,j) - s1 * coeff(k,j));
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}
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if (!odd)
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res = -res;
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return res;
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}
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@@ -59,7 +59,7 @@ template<typename MatrixType,typename Rhs> struct homogeneous_right_product_impl
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} // end namespace internal
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template<typename MatrixType,int _Direction> class Homogeneous
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: public MatrixBase<Homogeneous<MatrixType,_Direction> >
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: internal::no_assignment_operator, public MatrixBase<Homogeneous<MatrixType,_Direction> >
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{
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public:
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@@ -50,7 +50,7 @@ public:
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typedef const Block<const Coefficients,AmbientDimAtCompileTime,1> ConstNormalReturnType;
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/** Default constructor without initialization */
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inline explicit Hyperplane() {}
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inline Hyperplane() {}
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template<int OtherOptions>
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Hyperplane(const Hyperplane<Scalar,AmbientDimAtCompileTime,OtherOptions>& other)
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@@ -33,9 +33,9 @@ MatrixBase<Derived>::cross(const MatrixBase<OtherDerived>& other) const
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typename internal::nested<Derived,2>::type lhs(derived());
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typename internal::nested<OtherDerived,2>::type rhs(other.derived());
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return typename cross_product_return_type<OtherDerived>::type(
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internal::conj(lhs.coeff(1) * rhs.coeff(2) - lhs.coeff(2) * rhs.coeff(1)),
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internal::conj(lhs.coeff(2) * rhs.coeff(0) - lhs.coeff(0) * rhs.coeff(2)),
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internal::conj(lhs.coeff(0) * rhs.coeff(1) - lhs.coeff(1) * rhs.coeff(0))
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numext::conj(lhs.coeff(1) * rhs.coeff(2) - lhs.coeff(2) * rhs.coeff(1)),
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numext::conj(lhs.coeff(2) * rhs.coeff(0) - lhs.coeff(0) * rhs.coeff(2)),
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numext::conj(lhs.coeff(0) * rhs.coeff(1) - lhs.coeff(1) * rhs.coeff(0))
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);
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}
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@@ -49,9 +49,9 @@ struct cross3_impl {
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run(const VectorLhs& lhs, const VectorRhs& rhs)
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{
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return typename internal::plain_matrix_type<VectorLhs>::type(
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internal::conj(lhs.coeff(1) * rhs.coeff(2) - lhs.coeff(2) * rhs.coeff(1)),
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internal::conj(lhs.coeff(2) * rhs.coeff(0) - lhs.coeff(0) * rhs.coeff(2)),
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internal::conj(lhs.coeff(0) * rhs.coeff(1) - lhs.coeff(1) * rhs.coeff(0)),
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numext::conj(lhs.coeff(1) * rhs.coeff(2) - lhs.coeff(2) * rhs.coeff(1)),
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numext::conj(lhs.coeff(2) * rhs.coeff(0) - lhs.coeff(0) * rhs.coeff(2)),
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numext::conj(lhs.coeff(0) * rhs.coeff(1) - lhs.coeff(1) * rhs.coeff(0)),
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0
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);
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}
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@@ -141,8 +141,8 @@ struct unitOrthogonal_selector
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if (maxi==0)
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sndi = 1;
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RealScalar invnm = RealScalar(1)/(Vector2() << src.coeff(sndi),src.coeff(maxi)).finished().norm();
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perp.coeffRef(maxi) = -conj(src.coeff(sndi)) * invnm;
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perp.coeffRef(sndi) = conj(src.coeff(maxi)) * invnm;
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perp.coeffRef(maxi) = -numext::conj(src.coeff(sndi)) * invnm;
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perp.coeffRef(sndi) = numext::conj(src.coeff(maxi)) * invnm;
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return perp;
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}
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@@ -168,8 +168,8 @@ struct unitOrthogonal_selector<Derived,3>
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|| (!isMuchSmallerThan(src.y(), src.z())))
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{
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RealScalar invnm = RealScalar(1)/src.template head<2>().norm();
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perp.coeffRef(0) = -conj(src.y())*invnm;
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perp.coeffRef(1) = conj(src.x())*invnm;
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perp.coeffRef(0) = -numext::conj(src.y())*invnm;
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perp.coeffRef(1) = numext::conj(src.x())*invnm;
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perp.coeffRef(2) = 0;
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}
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/* if both x and y are close to zero, then the vector is close
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@@ -180,8 +180,8 @@ struct unitOrthogonal_selector<Derived,3>
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{
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RealScalar invnm = RealScalar(1)/src.template tail<2>().norm();
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perp.coeffRef(0) = 0;
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perp.coeffRef(1) = -conj(src.z())*invnm;
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perp.coeffRef(2) = conj(src.y())*invnm;
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perp.coeffRef(1) = -numext::conj(src.z())*invnm;
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perp.coeffRef(2) = numext::conj(src.y())*invnm;
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}
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return perp;
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@@ -193,7 +193,7 @@ struct unitOrthogonal_selector<Derived,2>
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{
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typedef typename plain_matrix_type<Derived>::type VectorType;
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static inline VectorType run(const Derived& src)
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{ return VectorType(-conj(src.y()), conj(src.x())).normalized(); }
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{ return VectorType(-numext::conj(src.y()), numext::conj(src.x())).normalized(); }
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};
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} // end namespace internal
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@@ -41,7 +41,7 @@ public:
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typedef Matrix<Scalar,AmbientDimAtCompileTime,1,Options> VectorType;
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/** Default constructor without initialization */
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inline explicit ParametrizedLine() {}
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inline ParametrizedLine() {}
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template<int OtherOptions>
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ParametrizedLine(const ParametrizedLine<Scalar,AmbientDimAtCompileTime,OtherOptions>& other)
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