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/////////////////////////////////////////////////////////////////////////////// |
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// BSD 3-Clause License |
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// |
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// Copyright (C) 2019-2022, LAAS-CNRS, University of Edinburgh, |
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// Heriot-Watt University |
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// Copyright note valid unless otherwise stated in individual files. |
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// All rights reserved. |
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/////////////////////////////////////////////////////////////////////////////// |
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#ifndef CROCODDYL_MULTIBODY_ACTIONS_FREE_FWDDYN_HPP_ |
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#define CROCODDYL_MULTIBODY_ACTIONS_FREE_FWDDYN_HPP_ |
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#include <stdexcept> |
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#ifdef PINOCCHIO_WITH_CPPAD_SUPPORT // TODO(cmastalli): Removed after merging |
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// Pinocchio v.2.4.8 |
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#include <pinocchio/codegen/cppadcg.hpp> |
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#endif |
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#include "crocoddyl/core/actuation-base.hpp" |
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#include "crocoddyl/core/constraints/constraint-manager.hpp" |
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#include "crocoddyl/core/costs/cost-sum.hpp" |
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#include "crocoddyl/core/diff-action-base.hpp" |
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#include "crocoddyl/core/utils/exception.hpp" |
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#include "crocoddyl/multibody/data/multibody.hpp" |
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#include "crocoddyl/multibody/fwd.hpp" |
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#include "crocoddyl/multibody/states/multibody.hpp" |
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namespace crocoddyl { |
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/** |
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* @brief Differential action model for free forward dynamics in multibody |
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* systems. |
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* |
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* This class implements free forward dynamics, i.e., |
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* \f[ |
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* \mathbf{M}\dot{\mathbf{v}} + \mathbf{h}(\mathbf{q},\mathbf{v}) = |
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* \boldsymbol{\tau}, \f] where \f$\mathbf{q}\in Q\f$, |
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* \f$\mathbf{v}\in\mathbb{R}^{nv}\f$ are the configuration point and |
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* generalized velocity (its tangent vector), respectively; |
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* \f$\boldsymbol{\tau}\f$ is the torque inputs and |
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* \f$\mathbf{h}(\mathbf{q},\mathbf{v})\f$ are the Coriolis effect and gravity |
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* field. |
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* |
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* The derivatives of the system acceleration is computed efficiently based on |
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* the analytical derivatives of Articulate Body Algorithm (ABA) as described in |
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* \cite carpentier-rss18. |
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* |
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* The stack of cost functions is implemented in `CostModelSumTpl`. The |
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* computation of the free forward dynamics and its derivatives are carrying out |
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* inside `calc()` and `calcDiff()` functions, respectively. It is also |
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* important to remark that `calcDiff()` computes the derivatives using the |
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* latest stored values by `calc()`. Thus, we need to run `calc()` first. |
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* |
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* \sa `DifferentialActionModelAbstractTpl`, `calc()`, `calcDiff()`, |
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* `createData()` |
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*/ |
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template <typename _Scalar> |
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class DifferentialActionModelFreeFwdDynamicsTpl |
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: public DifferentialActionModelAbstractTpl<_Scalar> { |
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public: |
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EIGEN_MAKE_ALIGNED_OPERATOR_NEW |
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typedef _Scalar Scalar; |
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typedef DifferentialActionModelAbstractTpl<Scalar> Base; |
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typedef DifferentialActionDataFreeFwdDynamicsTpl<Scalar> Data; |
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typedef DifferentialActionDataAbstractTpl<Scalar> |
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DifferentialActionDataAbstract; |
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typedef StateMultibodyTpl<Scalar> StateMultibody; |
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typedef CostModelSumTpl<Scalar> CostModelSum; |
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typedef ConstraintModelManagerTpl<Scalar> ConstraintModelManager; |
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typedef ActuationModelAbstractTpl<Scalar> ActuationModelAbstract; |
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typedef MathBaseTpl<Scalar> MathBase; |
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typedef typename MathBase::VectorXs VectorXs; |
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typedef typename MathBase::MatrixXs MatrixXs; |
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DifferentialActionModelFreeFwdDynamicsTpl( |
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boost::shared_ptr<StateMultibody> state, |
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boost::shared_ptr<ActuationModelAbstract> actuation, |
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boost::shared_ptr<CostModelSum> costs, |
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boost::shared_ptr<ConstraintModelManager> constraints = nullptr); |
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virtual ~DifferentialActionModelFreeFwdDynamicsTpl(); |
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/** |
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* @brief Compute the system acceleration, and cost value |
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* |
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* It computes the system acceleration using the free forward-dynamics. |
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* |
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* @param[in] data Free forward-dynamics data |
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* @param[in] x State point \f$\mathbf{x}\in\mathbb{R}^{ndx}\f$ |
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* @param[in] u Control input \f$\mathbf{u}\in\mathbb{R}^{nu}\f$ |
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*/ |
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virtual void calc( |
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const boost::shared_ptr<DifferentialActionDataAbstract>& data, |
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const Eigen::Ref<const VectorXs>& x, const Eigen::Ref<const VectorXs>& u); |
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/** |
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* @brief @copydoc Base::calc(const |
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* boost::shared_ptr<DifferentialActionDataAbstract>& data, const |
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* Eigen::Ref<const VectorXs>& x) |
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*/ |
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virtual void calc( |
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const boost::shared_ptr<DifferentialActionDataAbstract>& data, |
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const Eigen::Ref<const VectorXs>& x); |
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/** |
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* @brief Compute the derivatives of the contact dynamics, and cost function |
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* |
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* @param[in] data Free forward-dynamics data |
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* @param[in] x State point \f$\mathbf{x}\in\mathbb{R}^{ndx}\f$ |
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* @param[in] u Control input \f$\mathbf{u}\in\mathbb{R}^{nu}\f$ |
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*/ |
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virtual void calcDiff( |
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const boost::shared_ptr<DifferentialActionDataAbstract>& data, |
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const Eigen::Ref<const VectorXs>& x, const Eigen::Ref<const VectorXs>& u); |
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/** |
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* @brief @copydoc Base::calcDiff(const |
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* boost::shared_ptr<DifferentialActionDataAbstract>& data, const |
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* Eigen::Ref<const VectorXs>& x) |
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*/ |
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virtual void calcDiff( |
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const boost::shared_ptr<DifferentialActionDataAbstract>& data, |
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const Eigen::Ref<const VectorXs>& x); |
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/** |
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* @brief Create the free forward-dynamics data |
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* |
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* @return free forward-dynamics data |
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*/ |
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virtual boost::shared_ptr<DifferentialActionDataAbstract> createData(); |
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/** |
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* @brief Check that the given data belongs to the free forward-dynamics data |
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*/ |
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virtual bool checkData( |
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const boost::shared_ptr<DifferentialActionDataAbstract>& data); |
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/** |
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* @brief @copydoc Base::quasiStatic() |
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*/ |
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virtual void quasiStatic( |
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const boost::shared_ptr<DifferentialActionDataAbstract>& data, |
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Eigen::Ref<VectorXs> u, const Eigen::Ref<const VectorXs>& x, |
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const std::size_t maxiter = 100, const Scalar tol = Scalar(1e-9)); |
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/** |
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* @brief Return the number of inequality constraints |
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*/ |
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virtual std::size_t get_ng() const; |
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/** |
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* @brief Return the number of equality constraints |
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*/ |
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virtual std::size_t get_nh() const; |
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/** |
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* @brief Return the lower bound of the inequality constraints |
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*/ |
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virtual const VectorXs& get_g_lb() const; |
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/** |
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* @brief Return the upper bound of the inequality constraints |
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*/ |
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virtual const VectorXs& get_g_ub() const; |
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/** |
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* @brief Return the actuation model |
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*/ |
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const boost::shared_ptr<ActuationModelAbstract>& get_actuation() const; |
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/** |
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* @brief Return the cost model |
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*/ |
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const boost::shared_ptr<CostModelSum>& get_costs() const; |
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/** |
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* @brief Return the constraint model manager |
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*/ |
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const boost::shared_ptr<ConstraintModelManager>& get_constraints() const; |
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/** |
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* @brief Return the Pinocchio model |
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*/ |
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pinocchio::ModelTpl<Scalar>& get_pinocchio() const; |
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/** |
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* @brief Return the armature vector |
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*/ |
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const VectorXs& get_armature() const; |
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/** |
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* @brief Modify the armature vector |
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*/ |
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void set_armature(const VectorXs& armature); |
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/** |
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* @brief Print relevant information of the free forward-dynamics model |
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* |
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* @param[out] os Output stream object |
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*/ |
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virtual void print(std::ostream& os) const; |
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protected: |
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using Base::g_lb_; //!< Lower bound of the inequality constraints |
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using Base::g_ub_; //!< Upper bound of the inequality constraints |
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using Base::nu_; //!< Control dimension |
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using Base::state_; //!< Model of the state |
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private: |
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boost::shared_ptr<ActuationModelAbstract> actuation_; //!< Actuation model |
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boost::shared_ptr<CostModelSum> costs_; //!< Cost model |
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boost::shared_ptr<ConstraintModelManager> constraints_; //!< Constraint model |
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pinocchio::ModelTpl<Scalar>& pinocchio_; //!< Pinocchio model |
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bool without_armature_; //!< Indicate if we have defined an armature |
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VectorXs armature_; //!< Armature vector |
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}; |
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template <typename _Scalar> |
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struct DifferentialActionDataFreeFwdDynamicsTpl |
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: public DifferentialActionDataAbstractTpl<_Scalar> { |
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EIGEN_MAKE_ALIGNED_OPERATOR_NEW |
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typedef _Scalar Scalar; |
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typedef MathBaseTpl<Scalar> MathBase; |
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typedef DifferentialActionDataAbstractTpl<Scalar> Base; |
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typedef JointDataAbstractTpl<Scalar> JointDataAbstract; |
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typedef DataCollectorJointActMultibodyTpl<Scalar> |
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DataCollectorJointActMultibody; |
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typedef typename MathBase::VectorXs VectorXs; |
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typedef typename MathBase::MatrixXs MatrixXs; |
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template <template <typename Scalar> class Model> |
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explicit DifferentialActionDataFreeFwdDynamicsTpl(Model<Scalar>* const model) |
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: Base(model), |
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pinocchio(pinocchio::DataTpl<Scalar>(model->get_pinocchio())), |
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multibody( |
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&pinocchio, model->get_actuation()->createData(), |
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boost::make_shared<JointDataAbstract>( |
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model->get_state(), model->get_actuation(), model->get_nu())), |
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costs(model->get_costs()->createData(&multibody)), |
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Minv(model->get_state()->get_nv(), model->get_state()->get_nv()), |
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u_drift(model->get_state()->get_nv()), |
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dtau_dx(model->get_state()->get_nv(), model->get_state()->get_ndx()), |
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✓✗✓✗ ✓✗✓✗ ✓✗✓✗ ✓✗✓✗ ✓✗ |
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tmp_xstatic(model->get_state()->get_nx()) { |
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✓✗✓✗ |
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multibody.joint->dtau_du.diagonal().setOnes(); |
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costs->shareMemory(this); |
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✓✓ | 10259 |
if (model->get_constraints() != nullptr) { |
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constraints = model->get_constraints()->createData(&multibody); |
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constraints->shareMemory(this); |
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} |
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Minv.setZero(); |
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u_drift.setZero(); |
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✓✗ | 10259 |
dtau_dx.setZero(); |
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tmp_xstatic.setZero(); |
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} |
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pinocchio::DataTpl<Scalar> pinocchio; |
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DataCollectorJointActMultibody multibody; |
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boost::shared_ptr<CostDataSumTpl<Scalar> > costs; |
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boost::shared_ptr<ConstraintDataManagerTpl<Scalar> > constraints; |
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MatrixXs Minv; |
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VectorXs u_drift; |
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MatrixXs dtau_dx; |
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VectorXs tmp_xstatic; |
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using Base::cost; |
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using Base::Fu; |
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using Base::Fx; |
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using Base::Lu; |
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using Base::Luu; |
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using Base::Lx; |
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using Base::Lxu; |
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using Base::Lxx; |
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using Base::r; |
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using Base::xout; |
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}; |
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} // namespace crocoddyl |
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/* --- Details -------------------------------------------------------------- */ |
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/* --- Details -------------------------------------------------------------- */ |
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/* --- Details -------------------------------------------------------------- */ |
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#include <crocoddyl/multibody/actions/free-fwddyn.hxx> |
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#endif // CROCODDYL_MULTIBODY_ACTIONS_FREE_FWDDYN_HPP_ |
Generated by: GCOVR (Version 4.2) |