diff options
Diffstat (limited to 'extern/Eigen3/Eigen/src/Geometry/Quaternion.h')
| -rw-r--r-- | extern/Eigen3/Eigen/src/Geometry/Quaternion.h | 96 |
1 files changed, 47 insertions, 49 deletions
diff --git a/extern/Eigen3/Eigen/src/Geometry/Quaternion.h b/extern/Eigen3/Eigen/src/Geometry/Quaternion.h index 8792e2da2ae..9fee0c91980 100644 --- a/extern/Eigen3/Eigen/src/Geometry/Quaternion.h +++ b/extern/Eigen3/Eigen/src/Geometry/Quaternion.h @@ -150,18 +150,14 @@ public: /** \returns the conjugated quaternion */ Quaternion<Scalar> conjugate() const; - /** \returns an interpolation for a constant motion between \a other and \c *this - * \a t in [0;1] - * see http://en.wikipedia.org/wiki/Slerp - */ - template<class OtherDerived> Quaternion<Scalar> slerp(Scalar t, const QuaternionBase<OtherDerived>& other) const; + template<class OtherDerived> Quaternion<Scalar> slerp(const Scalar& t, const QuaternionBase<OtherDerived>& other) const; /** \returns \c true if \c *this is approximately equal to \a other, within the precision * determined by \a prec. * * \sa MatrixBase::isApprox() */ template<class OtherDerived> - bool isApprox(const QuaternionBase<OtherDerived>& other, RealScalar prec = NumTraits<Scalar>::dummy_precision()) const + bool isApprox(const QuaternionBase<OtherDerived>& other, const RealScalar& prec = NumTraits<Scalar>::dummy_precision()) const { return coeffs().isApprox(other.coeffs(), prec); } /** return the result vector of \a v through the rotation*/ @@ -193,11 +189,12 @@ public: * * \brief The quaternion class used to represent 3D orientations and rotations * - * \param _Scalar the scalar type, i.e., the type of the coefficients + * \tparam _Scalar the scalar type, i.e., the type of the coefficients + * \tparam _Options controls the memory alignment of the coefficients. Can be \# AutoAlign or \# DontAlign. Default is AutoAlign. * * This class represents a quaternion \f$ w+xi+yj+zk \f$ that is a convenient representation of * orientations and rotations of objects in three dimensions. Compared to other representations - * like Euler angles or 3x3 matrices, quatertions offer the following advantages: + * like Euler angles or 3x3 matrices, quaternions offer the following advantages: * \li \b compact storage (4 scalars) * \li \b efficient to compose (28 flops), * \li \b stable spherical interpolation @@ -248,7 +245,7 @@ public: * while internally the coefficients are stored in the following order: * [\c x, \c y, \c z, \c w] */ - inline Quaternion(Scalar w, Scalar x, Scalar y, Scalar z) : m_coeffs(x, y, z, w){} + inline Quaternion(const Scalar& w, const Scalar& x, const Scalar& y, const Scalar& z) : m_coeffs(x, y, z, w){} /** Constructs and initialize a quaternion from the array data */ inline Quaternion(const Scalar* data) : m_coeffs(data) {} @@ -304,41 +301,29 @@ typedef Quaternion<double> Quaterniond; namespace internal { template<typename _Scalar, int _Options> - struct traits<Map<Quaternion<_Scalar>, _Options> >: - traits<Quaternion<_Scalar, _Options> > + struct traits<Map<Quaternion<_Scalar>, _Options> > : traits<Quaternion<_Scalar, (int(_Options)&Aligned)==Aligned ? AutoAlign : DontAlign> > { - typedef _Scalar Scalar; typedef Map<Matrix<_Scalar,4,1>, _Options> Coefficients; - - typedef traits<Quaternion<_Scalar, _Options> > TraitsBase; - enum { - IsAligned = TraitsBase::IsAligned, - - Flags = TraitsBase::Flags - }; }; } namespace internal { template<typename _Scalar, int _Options> - struct traits<Map<const Quaternion<_Scalar>, _Options> >: - traits<Quaternion<_Scalar> > + struct traits<Map<const Quaternion<_Scalar>, _Options> > : traits<Quaternion<_Scalar, (int(_Options)&Aligned)==Aligned ? AutoAlign : DontAlign> > { - typedef _Scalar Scalar; typedef Map<const Matrix<_Scalar,4,1>, _Options> Coefficients; - - typedef traits<Quaternion<_Scalar, _Options> > TraitsBase; + typedef traits<Quaternion<_Scalar, (int(_Options)&Aligned)==Aligned ? AutoAlign : DontAlign> > TraitsBase; enum { - IsAligned = TraitsBase::IsAligned, Flags = TraitsBase::Flags & ~LvalueBit }; }; } -/** \brief Quaternion expression mapping a constant memory buffer +/** \ingroup Geometry_Module + * \brief Quaternion expression mapping a constant memory buffer * - * \param _Scalar the type of the Quaternion coefficients - * \param _Options see class Map + * \tparam _Scalar the type of the Quaternion coefficients + * \tparam _Options see class Map * * This is a specialization of class Map for Quaternion. This class allows to view * a 4 scalar memory buffer as an Eigen's Quaternion object. @@ -371,10 +356,11 @@ class Map<const Quaternion<_Scalar>, _Options > const Coefficients m_coeffs; }; -/** \brief Expression of a quaternion from a memory buffer +/** \ingroup Geometry_Module + * \brief Expression of a quaternion from a memory buffer * - * \param _Scalar the type of the Quaternion coefficients - * \param _Options see class Map + * \tparam _Scalar the type of the Quaternion coefficients + * \tparam _Options see class Map * * This is a specialization of class Map for Quaternion. This class allows to view * a 4 scalar memory buffer as an Eigen's Quaternion object. @@ -395,7 +381,7 @@ class Map<Quaternion<_Scalar>, _Options > /** Constructs a Mapped Quaternion object from the pointer \a coeffs * - * The pointer \a coeffs must reference the four coeffecients of Quaternion in the following order: + * The pointer \a coeffs must reference the four coefficients of Quaternion in the following order: * \code *coeffs == {x, y, z, w} \endcode * * If the template parameter _Options is set to #Aligned, then the pointer coeffs must be aligned. */ @@ -409,16 +395,16 @@ class Map<Quaternion<_Scalar>, _Options > }; /** \ingroup Geometry_Module - * Map an unaligned array of single precision scalar as a quaternion */ + * Map an unaligned array of single precision scalars as a quaternion */ typedef Map<Quaternion<float>, 0> QuaternionMapf; /** \ingroup Geometry_Module - * Map an unaligned array of double precision scalar as a quaternion */ + * Map an unaligned array of double precision scalars as a quaternion */ typedef Map<Quaternion<double>, 0> QuaternionMapd; /** \ingroup Geometry_Module - * Map a 16-bits aligned array of double precision scalars as a quaternion */ + * Map a 16-byte aligned array of single precision scalars as a quaternion */ typedef Map<Quaternion<float>, Aligned> QuaternionMapAlignedf; /** \ingroup Geometry_Module - * Map a 16-bits aligned array of double precision scalars as a quaternion */ + * Map a 16-byte aligned array of double precision scalars as a quaternion */ typedef Map<Quaternion<double>, Aligned> QuaternionMapAlignedd; /*************************************************************************** @@ -505,9 +491,11 @@ EIGEN_STRONG_INLINE Derived& QuaternionBase<Derived>::operator=(const Quaternion template<class Derived> EIGEN_STRONG_INLINE Derived& QuaternionBase<Derived>::operator=(const AngleAxisType& aa) { + using std::cos; + using std::sin; Scalar ha = Scalar(0.5)*aa.angle(); // Scalar(0.5) to suppress precision loss warnings - this->w() = internal::cos(ha); - this->vec() = internal::sin(ha) * aa.axis(); + this->w() = cos(ha); + this->vec() = sin(ha) * aa.axis(); return derived(); } @@ -581,12 +569,13 @@ template<typename Derived1, typename Derived2> inline Derived& QuaternionBase<Derived>::setFromTwoVectors(const MatrixBase<Derived1>& a, const MatrixBase<Derived2>& b) { using std::max; + using std::sqrt; Vector3 v0 = a.normalized(); Vector3 v1 = b.normalized(); Scalar c = v1.dot(v0); // if dot == -1, vectors are nearly opposites - // => accuraletly compute the rotation axis by computing the + // => accurately compute the rotation axis by computing the // intersection of the two planes. This is done by solving: // x^T v0 = 0 // x^T v1 = 0 @@ -601,12 +590,12 @@ inline Derived& QuaternionBase<Derived>::setFromTwoVectors(const MatrixBase<Deri Vector3 axis = svd.matrixV().col(2); Scalar w2 = (Scalar(1)+c)*Scalar(0.5); - this->w() = internal::sqrt(w2); - this->vec() = axis * internal::sqrt(Scalar(1) - w2); + this->w() = sqrt(w2); + this->vec() = axis * sqrt(Scalar(1) - w2); return derived(); } Vector3 axis = v0.cross(v1); - Scalar s = internal::sqrt((Scalar(1)+c)*Scalar(2)); + Scalar s = sqrt((Scalar(1)+c)*Scalar(2)); Scalar invs = Scalar(1)/s; this->vec() = axis * invs; this->w() = s * Scalar(0.5); @@ -677,24 +666,32 @@ inline typename internal::traits<Derived>::Scalar QuaternionBase<Derived>::angularDistance(const QuaternionBase<OtherDerived>& other) const { using std::acos; - double d = internal::abs(this->dot(other)); + using std::abs; + double d = abs(this->dot(other)); if (d>=1.0) return Scalar(0); return static_cast<Scalar>(2 * acos(d)); } + + /** \returns the spherical linear interpolation between the two quaternions - * \c *this and \a other at the parameter \a t + * \c *this and \a other at the parameter \a t in [0;1]. + * + * This represents an interpolation for a constant motion between \c *this and \a other, + * see also http://en.wikipedia.org/wiki/Slerp. */ template <class Derived> template <class OtherDerived> Quaternion<typename internal::traits<Derived>::Scalar> -QuaternionBase<Derived>::slerp(Scalar t, const QuaternionBase<OtherDerived>& other) const +QuaternionBase<Derived>::slerp(const Scalar& t, const QuaternionBase<OtherDerived>& other) const { using std::acos; + using std::sin; + using std::abs; static const Scalar one = Scalar(1) - NumTraits<Scalar>::epsilon(); Scalar d = this->dot(other); - Scalar absD = internal::abs(d); + Scalar absD = abs(d); Scalar scale0; Scalar scale1; @@ -708,10 +705,10 @@ QuaternionBase<Derived>::slerp(Scalar t, const QuaternionBase<OtherDerived>& oth { // theta is the angle between the 2 quaternions Scalar theta = acos(absD); - Scalar sinTheta = internal::sin(theta); + Scalar sinTheta = sin(theta); - scale0 = internal::sin( ( Scalar(1) - t ) * theta) / sinTheta; - scale1 = internal::sin( ( t * theta) ) / sinTheta; + scale0 = sin( ( Scalar(1) - t ) * theta) / sinTheta; + scale1 = sin( ( t * theta) ) / sinTheta; } if(d<0) scale1 = -scale1; @@ -728,6 +725,7 @@ struct quaternionbase_assign_impl<Other,3,3> typedef DenseIndex Index; template<class Derived> static inline void run(QuaternionBase<Derived>& q, const Other& mat) { + using std::sqrt; // This algorithm comes from "Quaternion Calculus and Fast Animation", // Ken Shoemake, 1987 SIGGRAPH course notes Scalar t = mat.trace(); |