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File: | include/crocoddyl/multibody/residuals/frame-rotation.hpp |
Date: | 2025-03-26 19:23:43 |
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1 | /////////////////////////////////////////////////////////////////////////////// | ||
2 | // BSD 3-Clause License | ||
3 | // | ||
4 | // Copyright (C) 2021-2025, LAAS-CNRS, University of Edinburgh, | ||
5 | // Heriot-Watt University | ||
6 | // Copyright note valid unless otherwise stated in individual files. | ||
7 | // All rights reserved. | ||
8 | /////////////////////////////////////////////////////////////////////////////// | ||
9 | |||
10 | #ifndef CROCODDYL_MULTIBODY_RESIDUALS_FRAME_ROTATION_HPP_ | ||
11 | #define CROCODDYL_MULTIBODY_RESIDUALS_FRAME_ROTATION_HPP_ | ||
12 | |||
13 | #include <pinocchio/multibody/fwd.hpp> | ||
14 | |||
15 | #include "crocoddyl/core/residual-base.hpp" | ||
16 | #include "crocoddyl/multibody/data/multibody.hpp" | ||
17 | #include "crocoddyl/multibody/fwd.hpp" | ||
18 | #include "crocoddyl/multibody/states/multibody.hpp" | ||
19 | |||
20 | namespace crocoddyl { | ||
21 | |||
22 | /** | ||
23 | * @brief Frame rotation residual | ||
24 | * | ||
25 | * This residual function is defined as | ||
26 | * \f$\mathbf{r}=\mathbf{R}\ominus\mathbf{R}^*\f$, where | ||
27 | * \f$\mathbf{R},\mathbf{R}^*\in~\mathbb{SO(3)}\f$ are the current and reference | ||
28 | * frame rotations, respectively. Note that the dimension of the residual vector | ||
29 | * is 3. Furthermore, the Jacobians of the residual function are computed | ||
30 | * analytically. | ||
31 | * | ||
32 | * As described in `ResidualModelAbstractTpl()`, the residual value and its | ||
33 | * Jacobians are calculated by `calc` and `calcDiff`, respectively. | ||
34 | * | ||
35 | * \sa `ResidualModelAbstractTpl`, `calc()`, `calcDiff()`, `createData()` | ||
36 | */ | ||
37 | template <typename _Scalar> | ||
38 | class ResidualModelFrameRotationTpl : public ResidualModelAbstractTpl<_Scalar> { | ||
39 | public: | ||
40 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
41 | ✗ | CROCODDYL_DERIVED_CAST(ResidualModelBase, ResidualModelFrameRotationTpl) | |
42 | |||
43 | typedef _Scalar Scalar; | ||
44 | typedef MathBaseTpl<Scalar> MathBase; | ||
45 | typedef ResidualModelAbstractTpl<Scalar> Base; | ||
46 | typedef ResidualDataFrameRotationTpl<Scalar> Data; | ||
47 | typedef StateMultibodyTpl<Scalar> StateMultibody; | ||
48 | typedef ResidualDataAbstractTpl<Scalar> ResidualDataAbstract; | ||
49 | typedef DataCollectorAbstractTpl<Scalar> DataCollectorAbstract; | ||
50 | typedef typename MathBase::VectorXs VectorXs; | ||
51 | typedef typename MathBase::Matrix3s Matrix3s; | ||
52 | |||
53 | /** | ||
54 | * @brief Initialize the frame rotation residual model | ||
55 | * | ||
56 | * @param[in] state State of the multibody system | ||
57 | * @param[in] id Reference frame id | ||
58 | * @param[in] Rref Reference frame rotation | ||
59 | * @param[in] nu Dimension of the control vector | ||
60 | */ | ||
61 | ResidualModelFrameRotationTpl(std::shared_ptr<StateMultibody> state, | ||
62 | const pinocchio::FrameIndex id, | ||
63 | const Matrix3s& Rref, const std::size_t nu); | ||
64 | |||
65 | /** | ||
66 | * @brief Initialize the frame rotation residual model | ||
67 | * | ||
68 | * The default `nu` is equals to StateAbstractTpl::get_nv(). | ||
69 | * | ||
70 | * @param[in] state State of the multibody system | ||
71 | * @param[in] id Reference frame id | ||
72 | * @param[in] Rref Reference frame rotation | ||
73 | */ | ||
74 | ResidualModelFrameRotationTpl(std::shared_ptr<StateMultibody> state, | ||
75 | const pinocchio::FrameIndex id, | ||
76 | const Matrix3s& Rref); | ||
77 | 716 | virtual ~ResidualModelFrameRotationTpl() = default; | |
78 | |||
79 | /** | ||
80 | * @brief Compute the frame rotation residual | ||
81 | * | ||
82 | * @param[in] data Frame rotation residual data | ||
83 | * @param[in] x State point \f$\mathbf{x}\in\mathbb{R}^{ndx}\f$ | ||
84 | * @param[in] u Control input \f$\mathbf{u}\in\mathbb{R}^{nu}\f$ | ||
85 | */ | ||
86 | virtual void calc(const std::shared_ptr<ResidualDataAbstract>& data, | ||
87 | const Eigen::Ref<const VectorXs>& x, | ||
88 | const Eigen::Ref<const VectorXs>& u) override; | ||
89 | |||
90 | /** | ||
91 | * @brief Compute the derivatives of the frame rotation residual | ||
92 | * | ||
93 | * @param[in] data Frame rotation residual data | ||
94 | * @param[in] x State point \f$\mathbf{x}\in\mathbb{R}^{ndx}\f$ | ||
95 | * @param[in] u Control input \f$\mathbf{u}\in\mathbb{R}^{nu}\f$ | ||
96 | */ | ||
97 | virtual void calcDiff(const std::shared_ptr<ResidualDataAbstract>& data, | ||
98 | const Eigen::Ref<const VectorXs>& x, | ||
99 | const Eigen::Ref<const VectorXs>& u) override; | ||
100 | |||
101 | /** | ||
102 | * @brief Create the frame rotation residual data | ||
103 | */ | ||
104 | virtual std::shared_ptr<ResidualDataAbstract> createData( | ||
105 | DataCollectorAbstract* const data) override; | ||
106 | |||
107 | /** | ||
108 | * @brief Cast the frame-rotation residual model to a different scalar type. | ||
109 | * | ||
110 | * It is useful for operations requiring different precision or scalar types. | ||
111 | * | ||
112 | * @tparam NewScalar The new scalar type to cast to. | ||
113 | * @return ResidualModelFrameRotationTpl<NewScalar> A residual model with the | ||
114 | * new scalar type. | ||
115 | */ | ||
116 | template <typename NewScalar> | ||
117 | ResidualModelFrameRotationTpl<NewScalar> cast() const; | ||
118 | |||
119 | /** | ||
120 | * @brief Return the reference frame id | ||
121 | */ | ||
122 | pinocchio::FrameIndex get_id() const; | ||
123 | |||
124 | /** | ||
125 | * @brief Return the reference frame rotation | ||
126 | */ | ||
127 | const Matrix3s& get_reference() const; | ||
128 | |||
129 | /** | ||
130 | * @brief Modify the reference frame id | ||
131 | */ | ||
132 | void set_id(const pinocchio::FrameIndex id); | ||
133 | |||
134 | /** | ||
135 | * @brief Modify the reference frame rotation | ||
136 | */ | ||
137 | void set_reference(const Matrix3s& reference); | ||
138 | |||
139 | /** | ||
140 | * @brief Print relevant information of the frame-rotation residual | ||
141 | * | ||
142 | * @param[out] os Output stream object | ||
143 | */ | ||
144 | virtual void print(std::ostream& os) const override; | ||
145 | |||
146 | protected: | ||
147 | using Base::nu_; | ||
148 | using Base::state_; | ||
149 | using Base::u_dependent_; | ||
150 | using Base::v_dependent_; | ||
151 | |||
152 | private: | ||
153 | pinocchio::FrameIndex id_; //!< Reference frame id | ||
154 | Matrix3s Rref_; //!< Reference frame rotation | ||
155 | Matrix3s oRf_inv_; //!< Inverse reference rotation | ||
156 | std::shared_ptr<typename StateMultibody::PinocchioModel> | ||
157 | pin_model_; //!< Pinocchio model | ||
158 | }; | ||
159 | |||
160 | template <typename _Scalar> | ||
161 | struct ResidualDataFrameRotationTpl : public ResidualDataAbstractTpl<_Scalar> { | ||
162 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
163 | |||
164 | typedef _Scalar Scalar; | ||
165 | typedef MathBaseTpl<Scalar> MathBase; | ||
166 | typedef ResidualDataAbstractTpl<Scalar> Base; | ||
167 | typedef DataCollectorAbstractTpl<Scalar> DataCollectorAbstract; | ||
168 | typedef typename MathBase::Vector3s Vector3s; | ||
169 | typedef typename MathBase::Matrix3s Matrix3s; | ||
170 | typedef typename MathBase::Matrix3xs Matrix3xs; | ||
171 | typedef typename MathBase::Matrix6xs Matrix6xs; | ||
172 | |||
173 | template <template <typename Scalar> class Model> | ||
174 | 9571 | ResidualDataFrameRotationTpl(Model<Scalar>* const model, | |
175 | DataCollectorAbstract* const data) | ||
176 |
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9571 | : Base(model, data), rJf(3, 3), fJf(6, model->get_state()->get_nv()) { |
177 |
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9571 | r.setZero(); |
178 |
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9571 | rRf.setIdentity(); |
179 |
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9571 | rJf.setZero(); |
180 |
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9571 | fJf.setZero(); |
181 | // Check that proper shared data has been passed | ||
182 | 9571 | DataCollectorMultibodyTpl<Scalar>* d = | |
183 |
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9571 | dynamic_cast<DataCollectorMultibodyTpl<Scalar>*>(shared); |
184 |
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9571 | if (d == NULL) { |
185 | ✗ | throw_pretty( | |
186 | "Invalid argument: the shared data should be derived from " | ||
187 | "DataCollectorMultibody"); | ||
188 | } | ||
189 | |||
190 | // Avoids data casting at runtime | ||
191 | 9571 | pinocchio = d->pinocchio; | |
192 | 9571 | } | |
193 | 19099 | virtual ~ResidualDataFrameRotationTpl() = default; | |
194 | |||
195 | pinocchio::DataTpl<Scalar>* pinocchio; //!< Pinocchio data | ||
196 | Matrix3s rRf; //!< Rotation error of the frame | ||
197 | Matrix3s rJf; //!< Error Jacobian of the frame | ||
198 | Matrix6xs fJf; //!< Local Jacobian of the frame | ||
199 | |||
200 | using Base::r; | ||
201 | using Base::Ru; | ||
202 | using Base::Rx; | ||
203 | using Base::shared; | ||
204 | }; | ||
205 | |||
206 | } // namespace crocoddyl | ||
207 | |||
208 | /* --- Details -------------------------------------------------------------- */ | ||
209 | /* --- Details -------------------------------------------------------------- */ | ||
210 | /* --- Details -------------------------------------------------------------- */ | ||
211 | #include "crocoddyl/multibody/residuals/frame-rotation.hxx" | ||
212 | |||
213 | CROCODDYL_DECLARE_EXTERN_TEMPLATE_CLASS( | ||
214 | crocoddyl::ResidualModelFrameRotationTpl) | ||
215 | CROCODDYL_DECLARE_EXTERN_TEMPLATE_STRUCT( | ||
216 | crocoddyl::ResidualDataFrameRotationTpl) | ||
217 | |||
218 | #endif // CROCODDYL_MULTIBODY_RESIDUALS_FRAME_ROTATION_HPP_ | ||
219 |