diff options
author | Gael Guennebaud <g.gael@free.fr> | 2008-06-21 15:01:49 +0000 |
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committer | Gael Guennebaud <g.gael@free.fr> | 2008-06-21 15:01:49 +0000 |
commit | 32c5ea388ef678c1aa24bf1c2164455a319c92f8 (patch) | |
tree | 1111b4909a2ebf45ae4c7df62160c6424818a564 /Eigen/src/Geometry/EulerAngles.h | |
parent | 574416b8428756c9fc52e79fc00a2402d1a4e59c (diff) |
work on rotations in the Geometry module:
- convertions are done trough constructors and operator=
- added a EulerAngles class
Diffstat (limited to 'Eigen/src/Geometry/EulerAngles.h')
-rw-r--r-- | Eigen/src/Geometry/EulerAngles.h | 158 |
1 files changed, 158 insertions, 0 deletions
diff --git a/Eigen/src/Geometry/EulerAngles.h b/Eigen/src/Geometry/EulerAngles.h new file mode 100644 index 000000000..1e12e50cc --- /dev/null +++ b/Eigen/src/Geometry/EulerAngles.h @@ -0,0 +1,158 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. Eigen itself is part of the KDE project. +// +// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr> +// +// Eigen is free software; you can redistribute it and/or +// modify it under the terms of the GNU Lesser General Public +// License as published by the Free Software Foundation; either +// version 3 of the License, or (at your option) any later version. +// +// Alternatively, you can redistribute it and/or +// modify it under the terms of the GNU General Public License as +// published by the Free Software Foundation; either version 2 of +// the License, or (at your option) any later version. +// +// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY +// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS +// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public +// License and a copy of the GNU General Public License along with +// Eigen. If not, see <http://www.gnu.org/licenses/>. + +#ifndef EIGEN_EULERANGLES_H +#define EIGEN_EULERANGLES_H + +template<typename Other, + int OtherRows=Other::RowsAtCompileTime, + int OtherCols=Other::ColsAtCompileTime> +struct ei_eulerangles_assign_impl; + +/** \class EulerAngles + * + * \brief Represents a rotation in a 3 dimensional space as three Euler angles + * + * \param _Scalar the scalar type, i.e., the type of the angles. + * + * \sa class Quaternion, class AngleAxis, class Transform + */ +template<typename _Scalar> +class EulerAngles +{ +public: + enum { Dim = 3 }; + /** the scalar type of the coefficients */ + typedef _Scalar Scalar; + typedef Matrix<Scalar,3,3> Matrix3; + typedef Matrix<Scalar,3,1> Vector3; + typedef Quaternion<Scalar> QuaternionType; + typedef AngleAxis<Scalar> AngleAxisType; + +protected: + + Vector3 m_angles; + +public: + + EulerAngles() {} + template<typename Derived> + inline EulerAngles(Scalar a0, Scalar a1, Scalar a2) : m_angles(a0, a1, a2) {} + inline EulerAngles(const QuaternionType& q) { *this = q; } + inline EulerAngles(const AngleAxisType& aa) { *this = aa; } + template<typename Derived> + inline EulerAngles(const MatrixBase<Derived>& m) { *this = m; } + + Scalar angle(int i) const { return m_angles.coeff(i); } + Scalar& angle(int i) { return m_angles.coeffRef(i); } + + const Vector3& coeffs() const { return m_angles; } + Vector3& coeffs() { return m_angles; } + + EulerAngles& operator=(const QuaternionType& q); + EulerAngles& operator=(const AngleAxisType& ea); + template<typename Derived> + EulerAngles& operator=(const MatrixBase<Derived>& m); + + template<typename Derived> + EulerAngles& fromRotationMatrix(const MatrixBase<Derived>& m); + Matrix3 toRotationMatrix(void) const; +}; + +/** Set \c *this from a quaternion. + * The axis is normalized. + */ +template<typename Scalar> +EulerAngles<Scalar>& EulerAngles<Scalar>::operator=(const QuaternionType& q) +{ + Scalar y2 = q.y() * q.y(); + m_angles.coeffRef(0) = std::atan2(2*(q.w()*q.x() + q.y()*q.z()), (1 - 2*(q.x()*q.x() + y2))); + m_angles.coeffRef(1) = std::asin( 2*(q.w()*q.y() - q.z()*q.x())); + m_angles.coeffRef(2) = std::atan2(2*(q.w()*q.z() + q.x()*q.y()), (1 - 2*(y2 + q.z()*q.z()))); + return *this; +} + +/** Set \c *this from Euler angles \a ea. + */ +template<typename Scalar> +EulerAngles<Scalar>& EulerAngles<Scalar>::operator=(const AngleAxisType& aa) +{ + return *this = QuaternionType(aa); +} + +/** Set \c *this from the expression \a xpr: + * - if \a xpr is a 3x1 vector, then \a xpr is assumed to be a vector of angles + * - if \a xpr is a 3x3 matrix, then \a xpr is assumed to be rotation matrix + * and \a xpr is converted to Euler angles + */ +template<typename Scalar> +template<typename Derived> +EulerAngles<Scalar>& EulerAngles<Scalar>::operator=(const MatrixBase<Derived>& other) +{ + ei_eulerangles_assign_impl<Derived>::run(*this,other.derived()); + return *this; +} + +/** Constructs and \returns an equivalent 3x3 rotation matrix. + */ +template<typename Scalar> +typename EulerAngles<Scalar>::Matrix3 +EulerAngles<Scalar>::toRotationMatrix(void) const +{ + Vector3 c = m_angles.cwiseCos(); + Vector3 s = m_angles.cwiseSin(); + return Matrix3() << + c.y()*c.z(), -c.y()*s.z(), s.y(), + c.z()*s.x()*s.y()+c.x()*s.z(), c.x()*c.z()-s.x()*s.y()*s.z(), -c.y()*s.x(), + -c.x()*c.z()*s.y()+s.x()*s.z(), c.z()*s.x()+c.x()*s.y()*s.z(), c.x()*c.y(); +} + +// set from a rotation matrix +template<typename Other> +struct ei_eulerangles_assign_impl<Other,3,3> +{ + typedef typename Other::Scalar Scalar; + inline static void run(EulerAngles<Scalar>& ea, const Other& mat) + { + // mat = cy*cz -cy*sz sy + // cz*sx*sy+cx*sz cx*cz-sx*sy*sz -cy*sx + // -cx*cz*sy+sx*sz cz*sx+cx*sy*sz cx*cy + ea.angle(1) = std::asin(mat.coeff(0,2)); + ea.angle(0) = std::atan2(-mat.coeff(1,2),mat.coeff(2,2)); + ea.angle(2) = std::atan2(-mat.coeff(0,1),mat.coeff(0,0)); + } +}; + +// set from a vector of angles +template<typename Other> +struct ei_eulerangles_assign_impl<Other,3,1> +{ + typedef typename Other::Scalar Scalar; + inline static void run(EulerAngles<Scalar>& ea, const Other& vec) + { + ea.coeffs() = vec; + } +}; + +#endif // EIGEN_EULERANGLES_H |