pinocchio  2.4.4
A fast and flexible implementation of Rigid Body Dynamics algorithms and their analytical derivatives
Cheat sheet
Member LieGroupBase< Derived >::dDifference (const Eigen::MatrixBase< ConfigL_t > &q0, const Eigen::MatrixBase< ConfigR_t > &q1, const Eigen::MatrixBase< JacobianOut_t > &J) const
\( \frac{\partial\ominus}{\partial q_1} \frac{\partial\oplus}{\partial v} = I \)
Member LieGroupBase< Derived >::difference (const Eigen::MatrixBase< ConfigL_t > &q0, const Eigen::MatrixBase< ConfigR_t > &q1, const Eigen::MatrixBase< Tangent_t > &v) const
\( q_1 \ominus q_0 = - \left( q_0 \ominus q_1 \right) \)
Member LieGroupBase< Derived >::isSameConfiguration (const Eigen::MatrixBase< ConfigL_t > &q0, const Eigen::MatrixBase< ConfigR_t > &q1, const Scalar &prec=Eigen::NumTraits< Scalar >::dummy_precision()) const
\( q_1 \equiv q_0 \oplus \left( q_1 \ominus q_0 \right) \) ( \(\equiv\) means equivalent, not equal).
Class SE3Base< Derived >
\( {}^aM_c = {}^aM_b {}^bM_c \)
Member SE3Base< Derived >::toActionMatrix () const
\( {}^a\nu_c = {}^aX_b {}^b\nu_c \)
Member SpecialEuclideanOperationTpl< 3, _Scalar, _Options >::dDifference_impl (const Eigen::MatrixBase< ConfigL_t > &q0, const Eigen::MatrixBase< ConfigR_t > &q1, const Eigen::MatrixBase< JacobianOut_t > &J) const
\( \frac{\partial\ominus}{\partial q_1} {}^1X_0 = - \frac{\partial\ominus}{\partial q_0} \)