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Rename someOrthogonal to unitOrthogonal. Fix a bug in it, with dyn-size vectors of size <=3.
Update doc and test to reflect that it always returns a unit vector.
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@ -567,7 +567,7 @@ template<typename Derived> class MatrixBase
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template<typename OtherDerived>
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EvalType cross(const MatrixBase<OtherDerived>& other) const;
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EvalType someOrthogonal(void) const;
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EvalType unitOrthogonal(void) const;
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#ifdef EIGEN_MATRIXBASE_PLUGIN
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#include EIGEN_MATRIXBASE_PLUGIN
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@ -47,7 +47,7 @@ MatrixBase<Derived>::cross(const MatrixBase<OtherDerived>& other) const
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}
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template<typename Derived, int Size = Derived::SizeAtCompileTime>
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struct ei_someOrthogonal_selector
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struct ei_unitOrthogonal_selector
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{
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typedef typename ei_eval<Derived>::type VectorType;
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typedef typename ei_traits<Derived>::Scalar Scalar;
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@ -66,7 +66,9 @@ struct ei_someOrthogonal_selector
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|| (!ei_isMuchSmallerThan(src.y(), src.z())))
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{
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RealScalar invnm = Scalar(1)/src.template start<2>().norm();
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perp.template start<3>() << -ei_conj(src.y())*invnm, ei_conj(src.x())*invnm, 0;
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perp.coeffRef(0) = -ei_conj(src.y())*invnm;
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perp.coeffRef(1) = ei_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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* to the z-axis, so it's far from colinear to the x-axis for instance.
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@ -75,10 +77,12 @@ struct ei_someOrthogonal_selector
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else
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{
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RealScalar invnm = Scalar(1)/src.template end<2>().norm();
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perp.template start<3>() << 0, -ei_conj(src.z())*invnm, ei_conj(src.y())*invnm;
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perp.coeffRef(0) = 0;
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perp.coeffRef(1) = -ei_conj(src.z())*invnm;
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perp.coeffRef(2) = ei_conj(src.y())*invnm;
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}
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if (Derived::SizeAtCompileTime>3
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|| (Derived::SizeAtCompileTime==Dynamic && src.size()>3))
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if( (Derived::SizeAtCompileTime!=Dynamic && Derived::SizeAtCompileTime>3)
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|| (Derived::SizeAtCompileTime==Dynamic && src.size()>3) )
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perp.end(src.size()-3).setZero();
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return perp;
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@ -86,26 +90,26 @@ struct ei_someOrthogonal_selector
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};
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template<typename Derived>
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struct ei_someOrthogonal_selector<Derived,2>
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struct ei_unitOrthogonal_selector<Derived,2>
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{
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typedef typename ei_eval<Derived>::type VectorType;
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inline static VectorType run(const Derived& src)
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{ return VectorType(-ei_conj(src.y()), ei_conj(src.x())).normalized(); }
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};
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/** \returns an orthogonal vector of \c *this
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/** \returns a unit vector which is orthogonal to \c *this
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*
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* The size of \c *this must be at least 2. If the size is exactly 2,
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* then the returned vector is a counter clock wise rotation of \c *this, i.e., (-y,x).
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* then the returned vector is a counter clock wise rotation of \c *this, i.e., (-y,x).normalized().
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*
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* \sa cross()
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*/
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template<typename Derived>
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typename MatrixBase<Derived>::EvalType
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MatrixBase<Derived>::someOrthogonal() const
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MatrixBase<Derived>::unitOrthogonal() const
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{
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EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
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return ei_someOrthogonal_selector<Derived>::run(derived());
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return ei_unitOrthogonal_selector<Derived>::run(derived());
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}
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#endif // EIGEN_ORTHOMETHODS_H
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@ -58,9 +58,12 @@ template<typename Scalar> void geometry(void)
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(v0.cross(v1).cross(v0)).normalized();
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VERIFY(m.isUnitary());
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// someOrthogonal
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VERIFY_IS_MUCH_SMALLER_THAN(u0.someOrthogonal().dot(u0), Scalar(1));
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VERIFY_IS_MUCH_SMALLER_THAN(v0.someOrthogonal().dot(v0), Scalar(1));
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// unitOrthogonal
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VERIFY_IS_MUCH_SMALLER_THAN(u0.unitOrthogonal().dot(u0), Scalar(1));
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VERIFY_IS_MUCH_SMALLER_THAN(v0.unitOrthogonal().dot(v0), Scalar(1));
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VERIFY_IS_APPROX(u0.unitOrthogonal().norm(), Scalar(1));
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VERIFY_IS_APPROX(v0.unitOrthogonal().norm(), Scalar(1));
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q1 = AngleAxis(ei_random<Scalar>(-M_PI, M_PI), v0.normalized());
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q2 = AngleAxis(ei_random<Scalar>(-M_PI, M_PI), v1.normalized());
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