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File: | include/crocoddyl/core/numdiff/cost.hpp |
Date: | 2025-01-30 11:01:55 |
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1 | /////////////////////////////////////////////////////////////////////////////// | ||
2 | // BSD 3-Clause License | ||
3 | // | ||
4 | // Copyright (C) 2019-2023, LAAS-CNRS, University of Edinburgh, New York | ||
5 | // University, | ||
6 | // Max Planck Gesellschaft, | ||
7 | // Heriot-Watt University | ||
8 | // Copyright note valid unless otherwise stated in individual files. | ||
9 | // All rights reserved. | ||
10 | /////////////////////////////////////////////////////////////////////////////// | ||
11 | |||
12 | #ifndef CROCODDYL_CORE_NUMDIFF_COST_HPP_ | ||
13 | #define CROCODDYL_CORE_NUMDIFF_COST_HPP_ | ||
14 | |||
15 | #include <boost/function.hpp> | ||
16 | |||
17 | #include "crocoddyl/core/cost-base.hpp" | ||
18 | #include "crocoddyl/multibody/fwd.hpp" | ||
19 | |||
20 | namespace crocoddyl { | ||
21 | |||
22 | /** | ||
23 | * @brief This class computes the numerical differentiation of a cost model. | ||
24 | * | ||
25 | * It computes the Jacobian and Hessian of the cost model via numerical | ||
26 | * differentiation, i.e., \f$\mathbf{\ell_x}\f$, \f$\mathbf{\ell_u}\f$, | ||
27 | * \f$\mathbf{\ell_{xx}}\f$, \f$\mathbf{\ell_{uu}}\f$, and | ||
28 | * \f$\mathbf{\ell_{xu}}\f$ which denote the Jacobians and Hessians of the cost | ||
29 | * function, respectively. | ||
30 | * | ||
31 | * \sa `CostModelAbstractTpl()`, `calcDiff()` | ||
32 | */ | ||
33 | template <typename _Scalar> | ||
34 | class CostModelNumDiffTpl : public CostModelAbstractTpl<_Scalar> { | ||
35 | public: | ||
36 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
37 | |||
38 | typedef _Scalar Scalar; | ||
39 | typedef CostDataAbstractTpl<Scalar> CostDataAbstract; | ||
40 | typedef CostModelAbstractTpl<Scalar> Base; | ||
41 | typedef CostDataNumDiffTpl<Scalar> Data; | ||
42 | typedef DataCollectorAbstractTpl<Scalar> DataCollectorAbstract; | ||
43 | typedef MathBaseTpl<Scalar> MathBase; | ||
44 | typedef typename MathBaseTpl<Scalar>::VectorXs VectorXs; | ||
45 | typedef typename MathBaseTpl<Scalar>::MatrixXs MatrixXs; | ||
46 | typedef boost::function<void(const VectorXs&, const VectorXs&)> | ||
47 | ReevaluationFunction; | ||
48 | |||
49 | /** | ||
50 | * @brief Initialize the numdiff cost model | ||
51 | * | ||
52 | * @param model Cost model that we want to apply the numerical | ||
53 | * differentiation | ||
54 | */ | ||
55 | explicit CostModelNumDiffTpl(const std::shared_ptr<Base>& model); | ||
56 | |||
57 | /** | ||
58 | * @brief Initialize the numdiff cost model | ||
59 | */ | ||
60 | virtual ~CostModelNumDiffTpl(); | ||
61 | |||
62 | /** | ||
63 | * @brief @copydoc Base::calc() | ||
64 | */ | ||
65 | virtual void calc(const std::shared_ptr<CostDataAbstract>& data, | ||
66 | const Eigen::Ref<const VectorXs>& x, | ||
67 | const Eigen::Ref<const VectorXs>& u); | ||
68 | |||
69 | /** | ||
70 | * @brief @copydoc Base::calc(const std::shared_ptr<CostDataAbstract>& data, | ||
71 | * const Eigen::Ref<const VectorXs>& x) | ||
72 | */ | ||
73 | virtual void calc(const std::shared_ptr<CostDataAbstract>& data, | ||
74 | const Eigen::Ref<const VectorXs>& x); | ||
75 | |||
76 | /** | ||
77 | * @brief @copydoc Base::calcDiff() | ||
78 | */ | ||
79 | virtual void calcDiff(const std::shared_ptr<CostDataAbstract>& data, | ||
80 | const Eigen::Ref<const VectorXs>& x, | ||
81 | const Eigen::Ref<const VectorXs>& u); | ||
82 | |||
83 | /** | ||
84 | * @brief @copydoc Base::calcDiff(const std::shared_ptr<CostDataAbstract>& | ||
85 | * data, const Eigen::Ref<const VectorXs>& x) | ||
86 | */ | ||
87 | virtual void calcDiff(const std::shared_ptr<CostDataAbstract>& data, | ||
88 | const Eigen::Ref<const VectorXs>& x); | ||
89 | |||
90 | /** | ||
91 | * @brief Create a numdiff cost data | ||
92 | * | ||
93 | * @param data Data collector used by the original model | ||
94 | * @return the numdiff cost data | ||
95 | */ | ||
96 | virtual std::shared_ptr<CostDataAbstract> createData( | ||
97 | DataCollectorAbstract* const data); | ||
98 | |||
99 | /** | ||
100 | * @brief Return the original cost model | ||
101 | */ | ||
102 | const std::shared_ptr<Base>& get_model() const; | ||
103 | |||
104 | /** | ||
105 | * @brief Return the disturbance constant used by the numerical | ||
106 | * differentiation routine | ||
107 | */ | ||
108 | const Scalar get_disturbance() const; | ||
109 | |||
110 | /** | ||
111 | * @brief Modify the disturbance constant used by the numerical | ||
112 | * differentiation routine | ||
113 | */ | ||
114 | void set_disturbance(const Scalar disturbance); | ||
115 | |||
116 | /** | ||
117 | * @brief Identify if the Gauss approximation is going to be used or not. | ||
118 | * | ||
119 | * @return true | ||
120 | * @return false | ||
121 | */ | ||
122 | bool get_with_gauss_approx(); | ||
123 | |||
124 | /** | ||
125 | * @brief Register functions that updates the shared data computed for a | ||
126 | * system rollout The updated data is used to evaluate of the gradient and | ||
127 | * Hessian. | ||
128 | * | ||
129 | * @param reevals are the registered functions. | ||
130 | */ | ||
131 | void set_reevals(const std::vector<ReevaluationFunction>& reevals); | ||
132 | |||
133 | protected: | ||
134 | using Base::activation_; | ||
135 | using Base::nu_; | ||
136 | using Base::state_; | ||
137 | using Base::unone_; | ||
138 | |||
139 | private: | ||
140 | /** | ||
141 | * @brief Make sure that when we finite difference the Cost Model, the user | ||
142 | * does not face unknown behaviour because of the finite differencing of a | ||
143 | * quaternion around pi. This behaviour might occur if state cost in and | ||
144 | * floating systems. | ||
145 | * | ||
146 | * For full discussions see issue | ||
147 | * https://gepgitlab.laas.fr/loco-3d/crocoddyl/issues/139 | ||
148 | * | ||
149 | * @param x is the state at which the check is performed. | ||
150 | */ | ||
151 | void assertStableStateFD(const Eigen::Ref<const VectorXs>& /*x*/); | ||
152 | |||
153 | std::shared_ptr<Base> model_; //!< Cost model hat we want to apply the | ||
154 | //!< numerical differentiation | ||
155 | Scalar e_jac_; //!< Constant used for computing disturbances in Jacobian | ||
156 | //!< calculation | ||
157 | std::vector<ReevaluationFunction> | ||
158 | reevals_; //!< Functions that needs execution before calc or calcDiff | ||
159 | }; | ||
160 | |||
161 | template <typename _Scalar> | ||
162 | struct CostDataNumDiffTpl : public CostDataAbstractTpl<_Scalar> { | ||
163 | EIGEN_MAKE_ALIGNED_OPERATOR_NEW | ||
164 | |||
165 | typedef _Scalar Scalar; | ||
166 | typedef MathBaseTpl<Scalar> MathBase; | ||
167 | typedef CostDataAbstractTpl<Scalar> Base; | ||
168 | typedef DataCollectorAbstractTpl<Scalar> DataCollectorAbstract; | ||
169 | typedef ActivationDataAbstractTpl<Scalar> ActivationDataAbstract; | ||
170 | typedef typename MathBaseTpl<Scalar>::VectorXs VectorXs; | ||
171 | |||
172 | /** | ||
173 | * @brief Initialize the numdiff cost data | ||
174 | * | ||
175 | * @tparam Model is the type of the `CostModelAbstractTpl`. | ||
176 | * @param model is the object to compute the numerical differentiation from. | ||
177 | */ | ||
178 | template <template <typename Scalar> class Model> | ||
179 | 652 | explicit CostDataNumDiffTpl(Model<Scalar>* const model, | |
180 | DataCollectorAbstract* const shared_data) | ||
181 | : Base(model, shared_data), | ||
182 |
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652 | dx(model->get_state()->get_ndx()), |
183 |
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652 | xp(model->get_state()->get_nx()), |
184 |
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652 | du(model->get_nu()), |
185 |
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1304 | up(model->get_nu()) { |
186 |
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652 | dx.setZero(); |
187 |
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652 | xp.setZero(); |
188 |
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652 | du.setZero(); |
189 |
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652 | up.setZero(); |
190 | |||
191 | 652 | const std::size_t ndx = model->get_model()->get_state()->get_ndx(); | |
192 | 652 | const std::size_t nu = model->get_model()->get_nu(); | |
193 |
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652 | data_0 = model->get_model()->createData(shared_data); |
194 |
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26808 | for (std::size_t i = 0; i < ndx; ++i) { |
195 |
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26156 | data_x.push_back(model->get_model()->createData(shared_data)); |
196 | } | ||
197 |
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13730 | for (std::size_t i = 0; i < nu; ++i) { |
198 |
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13078 | data_u.push_back(model->get_model()->createData(shared_data)); |
199 | } | ||
200 | 652 | } | |
201 | |||
202 | 1304 | virtual ~CostDataNumDiffTpl() {} | |
203 | |||
204 | using Base::activation; | ||
205 | using Base::cost; | ||
206 | using Base::Lu; | ||
207 | using Base::Luu; | ||
208 | using Base::Lx; | ||
209 | using Base::Lxu; | ||
210 | using Base::Lxx; | ||
211 | using Base::residual; | ||
212 | using Base::shared; | ||
213 | |||
214 | Scalar x_norm; //!< Norm of the state vector | ||
215 | Scalar | ||
216 | xh_jac; //!< Disturbance value used for computing \f$ \ell_\mathbf{x} \f$ | ||
217 | Scalar | ||
218 | uh_jac; //!< Disturbance value used for computing \f$ \ell_\mathbf{u} \f$ | ||
219 | VectorXs dx; //!< State disturbance. | ||
220 | VectorXs xp; //!< The integrated state from the disturbance on one DoF "\f$ | ||
221 | //!< \int x dx_i \f$". | ||
222 | VectorXs du; //!< Control disturbance. | ||
223 | VectorXs up; //!< The integrated control from the disturbance on one DoF "\f$ | ||
224 | //!< \int u du_i = u + du \f$". | ||
225 | std::shared_ptr<Base> data_0; //!< The data at the approximation point. | ||
226 | std::vector<std::shared_ptr<Base> > | ||
227 | data_x; //!< The temporary data associated with the state variation. | ||
228 | std::vector<std::shared_ptr<Base> > | ||
229 | data_u; //!< The temporary data associated with the control variation. | ||
230 | }; | ||
231 | |||
232 | } // namespace crocoddyl | ||
233 | |||
234 | /* --- Details -------------------------------------------------------------- */ | ||
235 | /* --- Details -------------------------------------------------------------- */ | ||
236 | /* --- Details -------------------------------------------------------------- */ | ||
237 | #include "crocoddyl/core/numdiff/cost.hxx" | ||
238 | |||
239 | #endif // CROCODDYL_CORE_NUMDIFF_COST_HPP_ | ||
240 |