Directory: | ./ |
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File: | include/pinocchio/algorithm/constrained-dynamics.hxx |
Date: | 2025-02-12 21:03:38 |
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Lines: | 411 | 418 | 98.3% |
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1 | // | ||
2 | // Copyright (c) 2019-2022 INRIA CNRS | ||
3 | // | ||
4 | |||
5 | #ifndef __pinocchio_algorithm_constraint_dynamics_hxx__ | ||
6 | #define __pinocchio_algorithm_constraint_dynamics_hxx__ | ||
7 | |||
8 | #include "pinocchio/spatial/classic-acceleration.hpp" | ||
9 | #include "pinocchio/spatial/explog.hpp" | ||
10 | |||
11 | #include "pinocchio/algorithm/check.hpp" | ||
12 | #include "pinocchio/algorithm/aba.hpp" | ||
13 | #include "pinocchio/algorithm/contact-cholesky.hxx" | ||
14 | #include "pinocchio/algorithm/crba.hpp" | ||
15 | #include "pinocchio/algorithm/cholesky.hpp" | ||
16 | #include <limits> | ||
17 | |||
18 | namespace pinocchio | ||
19 | { | ||
20 | |||
21 | template< | ||
22 | typename Scalar, | ||
23 | int Options, | ||
24 | template<typename, int> class JointCollectionTpl, | ||
25 | class Allocator> | ||
26 | 68 | inline void initConstraintDynamics( | |
27 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
28 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
29 | const std::vector<RigidConstraintModelTpl<Scalar, Options>, Allocator> & contact_models) | ||
30 | { | ||
31 | 68 | data.contact_chol.allocate(model, contact_models); | |
32 | 68 | data.primal_dual_contact_solution.resize(data.contact_chol.size()); | |
33 | 68 | data.primal_rhs_contact.resize(data.contact_chol.constraintDim()); | |
34 | |||
35 | 68 | data.lambda_c.resize(data.contact_chol.constraintDim()); | |
36 | 68 | data.lambda_c_prox.resize(data.contact_chol.constraintDim()); | |
37 | 68 | data.impulse_c.resize(data.contact_chol.constraintDim()); | |
38 | |||
39 | // TODO: should be moved elsewhere | ||
40 | 68 | data.dlambda_dq.resize(data.contact_chol.constraintDim(), model.nv); | |
41 | 68 | data.dlambda_dx_prox.resize(data.contact_chol.constraintDim(), model.nv); | |
42 | 68 | data.drhs_prox.resize(data.contact_chol.constraintDim(), model.nv); | |
43 | 68 | data.dlambda_dv.resize(data.contact_chol.constraintDim(), model.nv); | |
44 | 68 | data.dlambda_dtau.resize(data.contact_chol.constraintDim(), model.nv); | |
45 | 68 | data.dvc_dq.resize(data.contact_chol.constraintDim(), model.nv); | |
46 | 68 | data.dac_dq.resize(data.contact_chol.constraintDim(), model.nv); | |
47 | 68 | data.dac_dv.resize(data.contact_chol.constraintDim(), model.nv); | |
48 | 68 | data.dac_da.resize(data.contact_chol.constraintDim(), model.nv); | |
49 | 68 | data.osim.resize(data.contact_chol.constraintDim(), data.contact_chol.constraintDim()); | |
50 | |||
51 | 68 | data.lambda_c.setZero(); | |
52 | 68 | data.lambda_c_prox.setZero(); | |
53 | 68 | data.dlambda_dq.setZero(); | |
54 | 68 | data.dlambda_dv.setZero(); | |
55 | 68 | data.dlambda_dtau.setZero(); | |
56 | 68 | data.dvc_dq.setZero(); | |
57 | 68 | data.dac_dq.setZero(); | |
58 | 68 | data.dac_dv.setZero(); | |
59 | 68 | data.dac_da.setZero(); | |
60 | 68 | data.osim.setZero(); | |
61 | 68 | } | |
62 | |||
63 | template< | ||
64 | typename Scalar, | ||
65 | int Options, | ||
66 | template<typename, int> class JointCollectionTpl, | ||
67 | typename ConfigVectorType, | ||
68 | typename TangentVectorType, | ||
69 | bool ContactMode> | ||
70 | struct ContactAndImpulseDynamicsForwardStep | ||
71 | : public fusion::JointUnaryVisitorBase<ContactAndImpulseDynamicsForwardStep< | ||
72 | Scalar, | ||
73 | Options, | ||
74 | JointCollectionTpl, | ||
75 | ConfigVectorType, | ||
76 | TangentVectorType, | ||
77 | ContactMode>> | ||
78 | { | ||
79 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
80 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
81 | |||
82 | typedef boost::fusion:: | ||
83 | vector<const Model &, Data &, const ConfigVectorType &, const TangentVectorType &> | ||
84 | ArgsType; | ||
85 | |||
86 | template<typename JointModel> | ||
87 | 85162 | static void algo( | |
88 | const JointModelBase<JointModel> & jmodel, | ||
89 | JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
90 | const Model & model, | ||
91 | Data & data, | ||
92 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
93 | const Eigen::MatrixBase<TangentVectorType> & v) | ||
94 | { | ||
95 | typedef typename Model::JointIndex JointIndex; | ||
96 | typedef typename Data::Motion Motion; | ||
97 | typedef typename Data::Force Force; | ||
98 | typedef typename Data::Inertia Inertia; | ||
99 | |||
100 |
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85162 | const JointIndex & i = jmodel.id(); |
101 | 85162 | const JointIndex & parent = model.parents[i]; | |
102 | |||
103 | 85162 | Motion & ov = data.ov[i]; | |
104 | 85162 | Inertia & oinertias = data.oinertias[i]; | |
105 | |||
106 |
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85162 | jmodel.calc(jdata.derived(), q.derived(), v.derived()); |
107 | |||
108 |
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85162 | data.liMi[i] = model.jointPlacements[i] * jdata.M(); |
109 |
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85162 | if (parent > 0) |
110 |
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81224 | data.oMi[i] = data.oMi[parent] * data.liMi[i]; |
111 | else | ||
112 |
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3938 | data.oMi[i] = data.liMi[i]; |
113 | |||
114 |
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85162 | ov = data.oMi[i].act(jdata.v()); |
115 |
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85162 | if (parent > 0) |
116 |
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81224 | ov += data.ov[parent]; |
117 | |||
118 |
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85162 | jmodel.jointCols(data.J) = data.oMi[i].act(jdata.S()); |
119 |
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85162 | oinertias = data.oMi[i].act(model.inertias[i]); |
120 |
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85162 | data.oYcrb[i] = data.oinertias[i]; |
121 | if (ContactMode) | ||
122 | { | ||
123 | 77710 | Force & oh = data.oh[i]; | |
124 | 77710 | Force & of = data.of[i]; | |
125 | 77710 | Motion & oa = data.oa[i]; | |
126 | 77710 | Motion & oa_gf = data.oa_gf[i]; | |
127 |
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77710 | oh = oinertias * ov; |
128 |
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77710 | oa = data.oMi[i].act(jdata.c()); |
129 |
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77710 | if (parent > 0) |
130 | { | ||
131 |
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74048 | oa += (data.ov[parent] ^ ov); |
132 |
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74048 | oa += data.oa[parent]; |
133 | } | ||
134 |
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77710 | oa_gf = oa - model.gravity; // add gravity contribution |
135 |
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77710 | of = oinertias * oa_gf + ov.cross(oh); |
136 | } | ||
137 | } | ||
138 | }; | ||
139 | |||
140 | template< | ||
141 | typename Scalar, | ||
142 | int Options, | ||
143 | template<typename, int> class JointCollectionTpl, | ||
144 | bool ContactMode> | ||
145 | struct ContactAndImpulseDynamicsBackwardStep | ||
146 | : public fusion::JointUnaryVisitorBase< | ||
147 | ContactAndImpulseDynamicsBackwardStep<Scalar, Options, JointCollectionTpl, ContactMode>> | ||
148 | { | ||
149 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
150 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
151 | |||
152 | typedef boost::fusion::vector<const Model &, Data &> ArgsType; | ||
153 | |||
154 | template<typename JointModel> | ||
155 | 85162 | static void algo(const JointModelBase<JointModel> & jmodel, const Model & model, Data & data) | |
156 | { | ||
157 | typedef typename Model::JointIndex JointIndex; | ||
158 | typedef | ||
159 | typename SizeDepType<JointModel::NV>::template ColsReturn<typename Data::Matrix6x>::Type | ||
160 | ColsBlock; | ||
161 | |||
162 |
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85162 | const JointIndex i = jmodel.id(); |
163 | 85162 | const JointIndex parent = model.parents[i]; | |
164 | |||
165 |
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85162 | ColsBlock dFda_cols = jmodel.jointCols(data.dFda); |
166 |
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85162 | const ColsBlock J_cols = jmodel.jointCols(data.J); |
167 |
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85162 | motionSet::inertiaAction(data.oYcrb[i], J_cols, dFda_cols); |
168 | |||
169 |
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85162 | data.M.block(jmodel.idx_v(), jmodel.idx_v(), jmodel.nv(), data.nvSubtree[i]).noalias() = |
170 |
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85162 | J_cols.transpose() * data.dFda.middleCols(jmodel.idx_v(), data.nvSubtree[i]); |
171 |
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85162 | data.oYcrb[parent] += data.oYcrb[i]; |
172 | |||
173 | if (ContactMode) | ||
174 | { | ||
175 |
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77710 | jmodel.jointVelocitySelector(data.nle).noalias() = |
176 |
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77710 | J_cols.transpose() * data.of[i].toVector(); |
177 |
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77710 | data.of[parent] += data.of[i]; |
178 | } | ||
179 | } | ||
180 | }; | ||
181 | |||
182 | template< | ||
183 | typename Scalar, | ||
184 | int Options, | ||
185 | template<typename, int> class JointCollectionTpl, | ||
186 | typename ConfigVectorType, | ||
187 | typename TangentVectorType1, | ||
188 | typename TangentVectorType2, | ||
189 | class ConstraintModelAllocator, | ||
190 | class ConstraintDataAllocator> | ||
191 | inline const typename DataTpl<Scalar, Options, JointCollectionTpl>::TangentVectorType & | ||
192 | 1831 | constraintDynamics( | |
193 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
194 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
195 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
196 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
197 | const Eigen::MatrixBase<TangentVectorType2> & tau, | ||
198 | const std::vector<RigidConstraintModelTpl<Scalar, Options>, ConstraintModelAllocator> & | ||
199 | contact_models, | ||
200 | std::vector<RigidConstraintDataTpl<Scalar, Options>, ConstraintDataAllocator> & contact_datas, | ||
201 | ProximalSettingsTpl<Scalar> & settings) | ||
202 | { | ||
203 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
204 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
205 | typedef typename Data::Motion Motion; | ||
206 | |||
207 | typedef RigidConstraintModelTpl<Scalar, Options> RigidConstraintModel; | ||
208 | typedef std::vector<RigidConstraintModel, ConstraintModelAllocator> VectorRigidConstraintModel; | ||
209 | typedef RigidConstraintDataTpl<Scalar, Options> RigidConstraintData; | ||
210 | |||
211 |
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1831 | assert(model.check(data) && "data is not consistent with model."); |
212 |
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1831 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
213 | q.size(), model.nq, "The joint configuration vector is not of right size"); | ||
214 |
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1831 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
215 | v.size(), model.nv, "The joint velocity vector is not of right size"); | ||
216 |
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1831 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
217 | tau.size(), model.nv, "The joint torque vector is not of right size"); | ||
218 |
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1831 | PINOCCHIO_CHECK_INPUT_ARGUMENT( |
219 | check_expression_if_real<Scalar>(settings.mu >= Scalar(0)), "mu has to be positive"); | ||
220 |
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1831 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
221 | contact_models.size(), contact_datas.size(), | ||
222 | "The contact models and data do not have the same vector size."); | ||
223 | |||
224 | // Check that all the frames are related to LOCAL or LOCAL_WORLD_ALIGNED reference frames | ||
225 | 1831 | for (typename VectorRigidConstraintModel::const_iterator cm_it = contact_models.begin(); | |
226 |
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4678 | cm_it != contact_models.end(); ++cm_it) |
227 | { | ||
228 |
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2847 | PINOCCHIO_CHECK_INPUT_ARGUMENT( |
229 | cm_it->reference_frame != WORLD, "Contact model with name " + cm_it->name | ||
230 | + " has reference_frame equals to WORLD. " | ||
231 | "constraintDynamics is only operating from LOCAL or " | ||
232 | "LOCAL_WORLD_ALIGNED reference frames.") | ||
233 | } | ||
234 | |||
235 | 1831 | typename Data::TangentVectorType & a = data.ddq; | |
236 | 1831 | typename Data::ContactCholeskyDecomposition & contact_chol = data.contact_chol; | |
237 | 1831 | typename Data::VectorXs & primal_dual_contact_solution = data.primal_dual_contact_solution; | |
238 | 1831 | typename Data::VectorXs & primal_rhs_contact = data.primal_rhs_contact; | |
239 | |||
240 |
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1831 | data.oYcrb[0].setZero(); |
241 |
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1831 | data.of[0].setZero(); |
242 |
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1831 | data.oa[0].setZero(); |
243 |
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1831 | data.ov[0].setZero(); |
244 | typedef ContactAndImpulseDynamicsForwardStep< | ||
245 | Scalar, Options, JointCollectionTpl, ConfigVectorType, TangentVectorType1, true> | ||
246 | Pass1; | ||
247 |
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40686 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
248 | { | ||
249 |
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38855 | Pass1::run( |
250 | 38855 | model.joints[i], data.joints[i], | |
251 |
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77710 | typename Pass1::ArgsType(model, data, q.derived(), v.derived())); |
252 | } | ||
253 | |||
254 | typedef ContactAndImpulseDynamicsBackwardStep<Scalar, Options, JointCollectionTpl, true> Pass2; | ||
255 |
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40686 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) |
256 | { | ||
257 |
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38855 | Pass2::run(model.joints[i], typename Pass2::ArgsType(model, data)); |
258 | } | ||
259 | |||
260 | // Add the armature contribution | ||
261 |
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1831 | data.M.diagonal() += model.armature; |
262 | |||
263 | // Retrieve the Centroidal Momemtum map | ||
264 | typedef typename Data::Force Force; | ||
265 | typedef Eigen::Block<typename Data::Matrix6x, 3, -1> Block3x; | ||
266 | |||
267 |
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1831 | data.com[0] = data.oYcrb[0].lever(); |
268 | |||
269 |
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1831 | data.Ag = data.dFda; |
270 |
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1831 | const Block3x Ag_lin = data.Ag.template middleRows<3>(Force::LINEAR); |
271 |
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1831 | Block3x Ag_ang = data.Ag.template middleRows<3>(Force::ANGULAR); |
272 |
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49841 | for (long i = 0; i < model.nv; ++i) |
273 |
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48010 | Ag_ang.col(i) += Ag_lin.col(i).cross(data.com[0]); |
274 | |||
275 | // Computes the Cholesky decomposition | ||
276 | 1831 | const Scalar mu = settings.mu; | |
277 |
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1831 | contact_chol.compute(model, data, contact_models, contact_datas, mu); |
278 | |||
279 |
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1831 | primal_dual_contact_solution.tail(model.nv) = tau - data.nle; |
280 | |||
281 | // Temporary variables | ||
282 | // Motion coriolis_centrifugal_acc1, coriolis_centrifugal_acc2; // Coriolis/centrifugal | ||
283 | // acceleration of the contact frame. | ||
284 |
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1831 | typename Motion::Vector3 coriolis_centrifugal_acc1_local; |
285 |
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1831 | typename Motion::Vector3 coriolis_centrifugal_acc2_local; |
286 | |||
287 | 1831 | Eigen::DenseIndex current_row_id = 0; | |
288 |
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4678 | for (size_t contact_id = 0; contact_id < contact_models.size(); ++contact_id) |
289 | { | ||
290 | 2847 | const RigidConstraintModel & contact_model = contact_models[contact_id]; | |
291 | 2847 | RigidConstraintData & contact_data = contact_datas[contact_id]; | |
292 | 2847 | const int contact_dim = contact_model.size(); | |
293 | |||
294 | 2847 | const typename RigidConstraintModel::BaumgarteCorrectorParameters & corrector = | |
295 | contact_model.corrector; | ||
296 | 2847 | const typename RigidConstraintData::Motion & contact_acceleration_desired = | |
297 | contact_data.contact_acceleration_desired; | ||
298 | 2847 | typename RigidConstraintData::Motion & contact_acceleration_error = | |
299 | contact_data.contact_acceleration_error; | ||
300 | |||
301 | 2847 | const typename Model::JointIndex joint1_id = contact_model.joint1_id; | |
302 | 2847 | typename RigidConstraintData::SE3 & oMc1 = contact_data.oMc1; | |
303 | 2847 | typename RigidConstraintData::Motion & vc1 = contact_data.contact1_velocity; | |
304 | 2847 | typename RigidConstraintData::Motion & coriolis_centrifugal_acc1 = | |
305 | contact_data.contact1_acceleration_drift; | ||
306 | |||
307 | 2847 | const typename Model::JointIndex joint2_id = contact_model.joint2_id; | |
308 | 2847 | typename RigidConstraintData::SE3 & oMc2 = contact_data.oMc2; | |
309 | 2847 | typename RigidConstraintData::Motion & vc2 = contact_data.contact2_velocity; | |
310 | 2847 | typename RigidConstraintData::Motion & coriolis_centrifugal_acc2 = | |
311 | contact_data.contact2_acceleration_drift; | ||
312 | |||
313 | 2847 | const typename RigidConstraintData::SE3 & c1Mc2 = contact_data.c1Mc2; | |
314 | |||
315 | // Compute contact placement and velocities | ||
316 |
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2847 | if (joint1_id > 0) |
317 |
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2646 | vc1 = oMc1.actInv(data.ov[joint1_id]); |
318 | else | ||
319 |
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201 | vc1.setZero(); |
320 |
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2847 | if (joint2_id > 0) |
321 |
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727 | vc2 = oMc2.actInv(data.ov[joint2_id]); |
322 | else | ||
323 |
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2120 | vc2.setZero(); |
324 | |||
325 |
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2847 | const Motion vc2_in_frame1 = c1Mc2.act(vc2); |
326 | // Compute placement and velocity errors | ||
327 |
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2847 | if (contact_model.type == CONTACT_6D) |
328 | { | ||
329 |
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1044 | contact_data.contact_placement_error = -log6(c1Mc2); |
330 |
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1044 | contact_data.contact_velocity_error.toVector() = (vc1 - vc2_in_frame1).toVector(); |
331 | } | ||
332 | else | ||
333 | { | ||
334 |
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1803 | contact_data.contact_placement_error.linear() = -c1Mc2.translation(); |
335 |
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1803 | contact_data.contact_placement_error.angular().setZero(); |
336 | |||
337 |
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1803 | contact_data.contact_velocity_error.linear() = |
338 |
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1803 | vc1.linear() - c1Mc2.rotation() * vc2.linear(); |
339 |
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1803 | contact_data.contact_velocity_error.angular().setZero(); |
340 | } | ||
341 | |||
342 | 5694 | if (check_expression_if_real<Scalar, false>( | |
343 |
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2847 | isZero(corrector.Kp, static_cast<Scalar>(0.)) |
344 |
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2847 | && isZero(corrector.Kd, static_cast<Scalar>(0.)))) |
345 | { | ||
346 |
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161 | contact_acceleration_error.setZero(); |
347 | } | ||
348 | else | ||
349 | { | ||
350 |
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2686 | if (contact_model.type == CONTACT_6D) |
351 |
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892 | contact_acceleration_error.toVector().noalias() = |
352 | ✗ | -(corrector.Kp.asDiagonal() /* * Jexp6(contact_data.contact_placement_error) */ | |
353 |
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892 | * contact_data.contact_placement_error.toVector()) |
354 |
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1784 | - (corrector.Kd.asDiagonal() * contact_data.contact_velocity_error.toVector()); |
355 | else | ||
356 | { | ||
357 |
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1794 | contact_acceleration_error.linear().noalias() = |
358 |
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1794 | -(corrector.Kp.asDiagonal() * contact_data.contact_placement_error.linear()) |
359 |
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1794 | - (corrector.Kd.asDiagonal() * contact_data.contact_velocity_error.linear()); |
360 |
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1794 | contact_acceleration_error.angular().setZero(); |
361 | } | ||
362 | } | ||
363 | |||
364 |
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2847 | switch (contact_model.reference_frame) |
365 | { | ||
366 | 594 | case LOCAL_WORLD_ALIGNED: { | |
367 | // LINEAR | ||
368 |
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594 | coriolis_centrifugal_acc1.linear().noalias() = |
369 |
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594 | data.oa[joint1_id].linear() + data.oa[joint1_id].angular().cross(oMc1.translation()); |
370 |
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594 | if (contact_model.type == CONTACT_3D) |
371 |
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594 | coriolis_centrifugal_acc1.linear() += data.ov[joint1_id].angular().cross( |
372 |
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594 | data.ov[joint1_id].linear() + data.ov[joint1_id].angular().cross(oMc1.translation())); |
373 | // ANGULAR | ||
374 |
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594 | coriolis_centrifugal_acc1.angular() = data.oa[joint1_id].angular(); |
375 | |||
376 | // LINEAR | ||
377 |
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594 | if (contact_model.type == CONTACT_3D) |
378 | { | ||
379 |
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594 | coriolis_centrifugal_acc2.linear().noalias() = |
380 |
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297 | data.oa[joint2_id].linear() + data.oa[joint2_id].angular().cross(oMc2.translation()) |
381 |
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297 | + data.ov[joint2_id].angular().cross( |
382 |
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297 | data.ov[joint2_id].linear() + data.ov[joint2_id].angular().cross(oMc2.translation())); |
383 |
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297 | coriolis_centrifugal_acc2.angular().setZero(); |
384 | } | ||
385 | else | ||
386 | { | ||
387 |
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297 | coriolis_centrifugal_acc2.linear() = |
388 |
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297 | data.oa[joint2_id].linear() + data.oa[joint2_id].angular().cross(oMc1.translation()); |
389 |
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297 | coriolis_centrifugal_acc2.angular() = data.oa[joint2_id].angular(); |
390 | } | ||
391 | |||
392 |
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594 | contact_acceleration_error.linear() = oMc1.rotation() * contact_acceleration_error.linear(); |
393 |
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594 | contact_acceleration_error.angular() = |
394 |
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594 | oMc1.rotation() * contact_acceleration_error.angular(); |
395 | 594 | break; | |
396 | } | ||
397 | 2253 | case LOCAL: { | |
398 |
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2253 | coriolis_centrifugal_acc1 = oMc1.actInv(data.oa[joint1_id]); |
399 |
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2253 | if (contact_model.type == CONTACT_3D) |
400 | { | ||
401 |
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1506 | coriolis_centrifugal_acc1.linear() += vc1.angular().cross(vc1.linear()); |
402 |
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1506 | coriolis_centrifugal_acc1.angular().setZero(); |
403 | } | ||
404 | else | ||
405 |
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747 | coriolis_centrifugal_acc1 += contact_data.contact_velocity_error.cross(vc2_in_frame1); |
406 | |||
407 |
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2253 | if (contact_model.type == CONTACT_3D) |
408 | { | ||
409 |
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4518 | coriolis_centrifugal_acc2.linear().noalias() = |
410 |
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1506 | oMc1.rotation().transpose() |
411 |
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1506 | * (data.oa[joint2_id].linear() + data.oa[joint2_id].angular().cross(oMc2.translation()) |
412 |
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1506 | + data.ov[joint2_id].angular().cross( |
413 |
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1506 | data.ov[joint2_id].linear() |
414 |
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1506 | + data.ov[joint2_id].angular().cross(oMc2.translation()))); |
415 |
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1506 | coriolis_centrifugal_acc2.angular().setZero(); |
416 | } | ||
417 | else | ||
418 |
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747 | coriolis_centrifugal_acc2 = oMc1.actInv(data.oa[joint2_id]); |
419 | 2253 | break; | |
420 | } | ||
421 | ✗ | default: | |
422 | ✗ | assert(false && "must never happened"); | |
423 | break; | ||
424 | } | ||
425 | |||
426 |
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2847 | contact_data.contact_acceleration = coriolis_centrifugal_acc2; |
427 |
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2847 | switch (contact_model.type) |
428 | { | ||
429 | 1803 | case CONTACT_3D: | |
430 |
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1803 | primal_rhs_contact.segment(current_row_id, contact_dim) = |
431 |
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1803 | -coriolis_centrifugal_acc1.linear() + coriolis_centrifugal_acc2.linear() |
432 |
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1803 | + contact_acceleration_error.linear() + contact_acceleration_desired.linear(); |
433 | 1803 | break; | |
434 | 1044 | case CONTACT_6D: | |
435 |
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1044 | primal_rhs_contact.segment(current_row_id, contact_dim) = |
436 |
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1044 | -coriolis_centrifugal_acc1.toVector() + coriolis_centrifugal_acc2.toVector() |
437 |
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1044 | + contact_acceleration_error.toVector() + contact_acceleration_desired.toVector(); |
438 | 1044 | break; | |
439 | ✗ | default: | |
440 | ✗ | assert(false && "must never happened"); | |
441 | break; | ||
442 | } | ||
443 | |||
444 | 2847 | current_row_id += contact_dim; | |
445 | } | ||
446 | |||
447 | // Solve the system | ||
448 | // Scalar primal_infeasibility = Scalar(0); | ||
449 | 1831 | int it = 0; | |
450 |
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1831 | data.lambda_c_prox.setZero(); |
451 |
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1831 | const Eigen::DenseIndex constraint_dim = contact_chol.constraintDim(); |
452 |
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4345 | for (; it < settings.max_iter;) |
453 | { | ||
454 | 2909 | it++; | |
455 |
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2909 | primal_dual_contact_solution.head(constraint_dim) = |
456 |
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2909 | primal_rhs_contact + data.lambda_c_prox * settings.mu; |
457 |
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2909 | primal_dual_contact_solution.tail(model.nv) = tau - data.nle; |
458 |
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2909 | contact_chol.solveInPlace(primal_dual_contact_solution); |
459 | |||
460 | // Use data.lambda_c as tmp variable for computing the constraint residual | ||
461 |
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5818 | contact_chol.getDelassusCholeskyExpression().applyOnTheRight( |
462 |
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5818 | primal_dual_contact_solution.head(constraint_dim), data.lambda_c); |
463 |
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2909 | data.lambda_c -= mu * primal_dual_contact_solution.head(constraint_dim) |
464 |
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2909 | + primal_rhs_contact.head(constraint_dim); |
465 | |||
466 |
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2909 | settings.absolute_residual = data.lambda_c.template lpNorm<Eigen::Infinity>(); |
467 | 2909 | settings.relative_residual = | |
468 |
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2909 | (primal_dual_contact_solution.head(constraint_dim) + data.lambda_c_prox) |
469 |
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2909 | .template lpNorm<Eigen::Infinity>(); |
470 | |||
471 |
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2909 | data.lambda_c_prox = -primal_dual_contact_solution.head(constraint_dim); |
472 | |||
473 | 2909 | const bool convergence_criteria_reached = | |
474 | 5818 | check_expression_if_real<Scalar, false>( | |
475 |
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2909 | settings.absolute_residual <= settings.absolute_accuracy) |
476 |
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5815 | || check_expression_if_real<Scalar, false>( |
477 |
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2906 | settings.relative_residual <= settings.relative_accuracy); |
478 |
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2909 | if (convergence_criteria_reached) // In the case where Scalar is not double, this will iterate |
479 | // for max_it. | ||
480 | 395 | break; | |
481 | } | ||
482 | 1831 | settings.iter = it; | |
483 |
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1831 | assert(settings.iter <= settings.max_iter && "must never happened"); |
484 | |||
485 | // Retrieve the joint space acceleration | ||
486 |
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1831 | a = primal_dual_contact_solution.tail(model.nv); |
487 |
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1831 | data.lambda_c = -primal_dual_contact_solution.head(constraint_dim); |
488 | |||
489 | // Retrieve the contact forces | ||
490 | 1831 | Eigen::DenseIndex current_row_sol_id = 0; | |
491 |
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4678 | for (size_t contact_id = 0; contact_id < contact_models.size(); ++contact_id) |
492 | { | ||
493 | 2847 | const RigidConstraintModel & contact_model = contact_models[contact_id]; | |
494 | 2847 | RigidConstraintData & contact_data = contact_datas[contact_id]; | |
495 | 2847 | typename RigidConstraintData::Force & fext = contact_data.contact_force; | |
496 | 2847 | const int contact_dim = contact_model.size(); | |
497 | |||
498 |
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2847 | switch (contact_model.type) |
499 | { | ||
500 | 1803 | case CONTACT_3D: { | |
501 |
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1803 | fext.linear() = -primal_dual_contact_solution.template segment<3>(current_row_sol_id); |
502 |
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1803 | fext.angular().setZero(); |
503 | 1803 | break; | |
504 | } | ||
505 | 1044 | case CONTACT_6D: { | |
506 | typedef typename Data::VectorXs::template FixedSegmentReturnType<6>::Type Segment6d; | ||
507 |
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1044 | const ForceRef<Segment6d> f_sol( |
508 | primal_dual_contact_solution.template segment<6>(current_row_sol_id)); | ||
509 |
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1044 | fext = -f_sol; |
510 | 1044 | break; | |
511 | } | ||
512 | ✗ | default: | |
513 | ✗ | assert(false && "must never happened"); | |
514 | break; | ||
515 | } | ||
516 | |||
517 | 2847 | current_row_sol_id += contact_dim; | |
518 | } | ||
519 | |||
520 | 1831 | return a; | |
521 | } | ||
522 | |||
523 | template< | ||
524 | typename Scalar, | ||
525 | int Options, | ||
526 | template<typename, int> class JointCollectionTpl, | ||
527 | typename ConfigVectorType, | ||
528 | typename TangentVectorType> | ||
529 | struct ContactABAForwardStep1 | ||
530 | : public fusion::JointUnaryVisitorBase<ContactABAForwardStep1< | ||
531 | Scalar, | ||
532 | Options, | ||
533 | JointCollectionTpl, | ||
534 | ConfigVectorType, | ||
535 | TangentVectorType>> | ||
536 | { | ||
537 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
538 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
539 | |||
540 | typedef boost::fusion:: | ||
541 | vector<const Model &, Data &, const ConfigVectorType &, const TangentVectorType &> | ||
542 | ArgsType; | ||
543 | |||
544 | template<typename JointModel> | ||
545 | 378 | static void algo( | |
546 | const pinocchio::JointModelBase<JointModel> & jmodel, | ||
547 | pinocchio::JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
548 | const Model & model, | ||
549 | Data & data, | ||
550 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
551 | const Eigen::MatrixBase<TangentVectorType> & v) | ||
552 | { | ||
553 | typedef typename Model::JointIndex JointIndex; | ||
554 | |||
555 |
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378 | const JointIndex & i = jmodel.id(); |
556 |
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378 | jmodel.calc(jdata.derived(), q.derived(), v.derived()); |
557 | |||
558 | 378 | const JointIndex & parent = model.parents[i]; | |
559 |
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378 | data.liMi[i] = model.jointPlacements[i] * jdata.M(); |
560 |
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378 | if (parent > 0) |
561 |
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364 | data.oMi[i] = data.oMi[parent] * data.liMi[i]; |
562 | else | ||
563 |
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14 | data.oMi[i] = data.liMi[i]; |
564 | |||
565 |
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378 | jmodel.jointCols(data.J) = data.oMi[i].act(jdata.S()); |
566 | |||
567 |
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378 | data.ov[i] = data.oMi[i].act(jdata.v()); |
568 |
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378 | if (parent > 0) |
569 |
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364 | data.ov[i] += data.ov[parent]; |
570 | |||
571 |
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378 | data.oa[i] = data.oMi[i].act(jdata.c()); |
572 |
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378 | if (parent > 0) |
573 | { | ||
574 |
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364 | data.oa[i] += (data.ov[parent] ^ data.ov[i]); |
575 | } | ||
576 | |||
577 |
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378 | data.oa_drift[i] = data.oa[i]; |
578 |
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378 | if (parent > 0) |
579 | { | ||
580 |
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364 | data.oa_drift[i] += data.oa_drift[parent]; |
581 | } | ||
582 | |||
583 |
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378 | data.oYcrb[i] = data.oMi[i].act(model.inertias[i]); |
584 |
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378 | data.oYaba[i] = data.oYcrb[i].matrix(); |
585 |
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378 | data.of[i] = data.oYcrb[i].vxiv(data.ov[i]) - data.oYcrb[i] * model.gravity; // -f_ext |
586 | } | ||
587 | }; | ||
588 | |||
589 | template< | ||
590 | typename Scalar, | ||
591 | int Options, | ||
592 | template<typename, int> class JointCollectionTpl, | ||
593 | typename TangentVectorType> | ||
594 | struct ContactABABackwardStep1 | ||
595 | : public fusion::JointUnaryVisitorBase< | ||
596 | ContactABABackwardStep1<Scalar, Options, JointCollectionTpl, TangentVectorType>> | ||
597 | { | ||
598 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
599 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
600 | |||
601 | typedef boost::fusion::vector<const Model &, Data &, const TangentVectorType &> ArgsType; | ||
602 | |||
603 | template<typename JointModel> | ||
604 | 378 | static void algo( | |
605 | const JointModelBase<JointModel> & jmodel, | ||
606 | JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
607 | const Model & model, | ||
608 | Data & data, | ||
609 | const Eigen::MatrixBase<TangentVectorType> & tau) | ||
610 | { | ||
611 | typedef typename Model::JointIndex JointIndex; | ||
612 | typedef typename Data::Inertia Inertia; | ||
613 | typedef typename Data::Force Force; | ||
614 | typedef typename Data::Matrix6x Matrix6x; | ||
615 | |||
616 |
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378 | const JointIndex & i = jmodel.id(); |
617 | 378 | const JointIndex & parent = model.parents[i]; | |
618 | 378 | typename Inertia::Matrix6 & Ia = data.oYaba[i]; | |
619 | |||
620 | typedef typename SizeDepType<JointModel::NV>::template ColsReturn<Matrix6x>::Type ColBlock; | ||
621 |
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378 | ColBlock Jcols = jmodel.jointCols(data.J); |
622 | |||
623 | 378 | Force & fi_augmented = data.of_augmented[i]; | |
624 | 378 | const Force & fi = data.of[i]; | |
625 | |||
626 |
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378 | fi_augmented += fi; |
627 |
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378 | jmodel.jointVelocitySelector(data.u).noalias() = |
628 |
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378 | jmodel.jointVelocitySelector(tau) - Jcols.transpose() * fi_augmented.toVector(); |
629 | |||
630 |
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378 | jdata.U().noalias() = Ia * Jcols; |
631 |
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378 | jdata.StU().noalias() = Jcols.transpose() * jdata.U(); |
632 | |||
633 | // Account for the rotor inertia contribution | ||
634 |
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378 | jdata.StU().diagonal() += jmodel.jointVelocitySelector(model.armature); |
635 | |||
636 |
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378 | internal::PerformStYSInversion<Scalar>::run(jdata.StU(), jdata.Dinv()); |
637 |
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378 | jdata.UDinv().noalias() = jdata.U() * jdata.Dinv(); |
638 | |||
639 |
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378 | if (parent > 0) |
640 | { | ||
641 |
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364 | Ia.noalias() -= jdata.UDinv() * jdata.U().transpose(); |
642 | |||
643 |
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364 | fi_augmented.toVector().noalias() += |
644 |
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364 | Ia * data.oa[i].toVector() + jdata.UDinv() * jmodel.jointVelocitySelector(data.u); |
645 |
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364 | data.oYaba[parent] += Ia; |
646 |
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364 | data.of_augmented[parent] += fi_augmented; |
647 | } | ||
648 | } | ||
649 | }; | ||
650 | |||
651 | template< | ||
652 | typename Scalar, | ||
653 | int Options, | ||
654 | template<typename, int> class JointCollectionTpl, | ||
655 | typename TangentVectorType> | ||
656 | struct ContactABABackwardStepAugmented | ||
657 | : public fusion::JointUnaryVisitorBase< | ||
658 | ContactABABackwardStepAugmented<Scalar, Options, JointCollectionTpl, TangentVectorType>> | ||
659 | { | ||
660 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
661 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
662 | |||
663 | typedef boost::fusion::vector<const Model &, Data &, const TangentVectorType &> ArgsType; | ||
664 | |||
665 | template<typename JointModel> | ||
666 | 324 | static void algo( | |
667 | const JointModelBase<JointModel> & jmodel, | ||
668 | JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
669 | const Model & model, | ||
670 | Data & data, | ||
671 | const Eigen::MatrixBase<TangentVectorType> & tau) | ||
672 | { | ||
673 | typedef typename Model::JointIndex JointIndex; | ||
674 | typedef typename Data::Inertia Inertia; | ||
675 | typedef typename Data::Force Force; | ||
676 | typedef typename Data::Matrix6x Matrix6x; | ||
677 | |||
678 |
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324 | const JointIndex & i = jmodel.id(); |
679 | 324 | const JointIndex & parent = model.parents[i]; | |
680 | 324 | typename Inertia::Matrix6 & Ia = data.oYaba[i]; | |
681 | |||
682 | typedef typename SizeDepType<JointModel::NV>::template ColsReturn<Matrix6x>::Type ColBlock; | ||
683 |
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324 | ColBlock Jcols = jmodel.jointCols(data.J); |
684 | |||
685 | 324 | Force & fi_augmented = data.of_augmented[i]; | |
686 | 324 | const Force & fi = data.of[i]; | |
687 | |||
688 |
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324 | fi_augmented += fi; |
689 |
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324 | jmodel.jointVelocitySelector(data.u).noalias() = |
690 |
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324 | jmodel.jointVelocitySelector(tau) - Jcols.transpose() * fi_augmented.toVector(); |
691 | |||
692 |
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324 | if (parent > 0) |
693 | { | ||
694 |
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312 | fi_augmented.toVector().noalias() += |
695 |
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312 | Ia * data.oa[i].toVector() + jdata.UDinv() * jmodel.jointVelocitySelector(data.u); |
696 |
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312 | data.of_augmented[parent] += fi_augmented; |
697 | } | ||
698 | } | ||
699 | }; | ||
700 | |||
701 | template<typename Scalar, int Options, template<typename, int> class JointCollectionTpl> | ||
702 | struct ContactABAForwardStep2 | ||
703 | : public fusion::JointUnaryVisitorBase< | ||
704 | ContactABAForwardStep2<Scalar, Options, JointCollectionTpl>> | ||
705 | { | ||
706 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
707 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
708 | |||
709 | typedef boost::fusion::vector<const Model &, Data &> ArgsType; | ||
710 | |||
711 | template<typename JointModel> | ||
712 | 702 | static void algo( | |
713 | const pinocchio::JointModelBase<JointModel> & jmodel, | ||
714 | pinocchio::JointDataBase<typename JointModel::JointDataDerived> & jdata, | ||
715 | const Model & model, | ||
716 | Data & data) | ||
717 | { | ||
718 | typedef typename Model::JointIndex JointIndex; | ||
719 | typedef typename Data::Matrix6x Matrix6x; | ||
720 | |||
721 | typedef typename SizeDepType<JointModel::NV>::template ColsReturn<Matrix6x>::Type ColBlock; | ||
722 |
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702 | ColBlock Jcols = jmodel.jointCols(data.J); |
723 | |||
724 |
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702 | const JointIndex & i = jmodel.id(); |
725 | 702 | const JointIndex & parent = model.parents[i]; | |
726 | |||
727 |
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702 | data.oa_augmented[i] = data.oa[i]; |
728 |
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702 | if (parent > 0) |
729 |
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676 | data.oa_augmented[i] += |
730 | 676 | data.oa_augmented[parent]; // does not take into account the gravity field | |
731 |
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702 | jmodel.jointVelocitySelector(data.ddq).noalias() = |
732 |
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702 | jdata.Dinv() * jmodel.jointVelocitySelector(data.u) |
733 |
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702 | - jdata.UDinv().transpose() * data.oa_augmented[i].toVector(); |
734 |
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702 | data.oa_augmented[i].toVector() += Jcols * jmodel.jointVelocitySelector(data.ddq); |
735 | } | ||
736 | }; | ||
737 | |||
738 | template< | ||
739 | typename Scalar, | ||
740 | int Options, | ||
741 | template<typename, int> class JointCollectionTpl, | ||
742 | typename ConfigVectorType, | ||
743 | typename TangentVectorType1, | ||
744 | typename TangentVectorType2, | ||
745 | class ModelAllocator, | ||
746 | class DataAllocator> | ||
747 | inline const typename DataTpl<Scalar, Options, JointCollectionTpl>::TangentVectorType & | ||
748 | 7 | contactABA( | |
749 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
750 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
751 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
752 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
753 | const Eigen::MatrixBase<TangentVectorType2> & tau, | ||
754 | const std::vector<RigidConstraintModelTpl<Scalar, Options>, ModelAllocator> & contact_models, | ||
755 | std::vector<RigidConstraintDataTpl<Scalar, Options>, DataAllocator> & contact_data, | ||
756 | ProximalSettingsTpl<Scalar> & settings) | ||
757 | { | ||
758 |
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7 | assert(model.check(data) && "data is not consistent with model."); |
759 |
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7 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
760 | q.size(), model.nq, "The joint configuration vector is not of right size"); | ||
761 |
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7 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
762 | v.size(), model.nv, "The joint velocity vector is not of right size"); | ||
763 |
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7 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
764 | tau.size(), model.nv, "The joint torque vector is not of right size"); | ||
765 |
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7 | PINOCCHIO_CHECK_INPUT_ARGUMENT( |
766 | check_expression_if_real<Scalar>(settings.mu >= Scalar(0)), "mu has to be positive"); | ||
767 |
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7 | PINOCCHIO_CHECK_ARGUMENT_SIZE( |
768 | contact_models.size(), contact_data.size(), "contact models and data size are not the same"); | ||
769 | |||
770 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
771 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
772 | |||
773 | typedef typename Data::Motion Motion; | ||
774 | |||
775 | typedef typename Model::JointIndex JointIndex; | ||
776 | typedef RigidConstraintModelTpl<Scalar, Options> RigidConstraintModel; | ||
777 | typedef RigidConstraintDataTpl<Scalar, Options> RigidConstraintData; | ||
778 | typedef typename Data::Force Force; | ||
779 | |||
780 | typedef ContactABAForwardStep1< | ||
781 | Scalar, Options, JointCollectionTpl, ConfigVectorType, TangentVectorType1> | ||
782 | Pass1; | ||
783 |
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196 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
784 | { | ||
785 |
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189 | Pass1::run( |
786 | 189 | model.joints[i], data.joints[i], | |
787 |
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189 | typename Pass1::ArgsType(model, data, q.derived(), v.derived())); |
788 |
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189 | data.of_augmented[i].setZero(); |
789 | } | ||
790 | |||
791 |
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15 | for (size_t k = 0; k < contact_models.size(); ++k) |
792 | { | ||
793 | 8 | const RigidConstraintModel & cmodel = contact_models[k]; | |
794 | 8 | RigidConstraintData & cdata = contact_data[k]; | |
795 | |||
796 | 8 | const typename Model::JointIndex joint1_id = cmodel.joint1_id; | |
797 | |||
798 | // Compute relative placement between the joint and the contact frame | ||
799 | 8 | SE3 & oMc = cdata.oMc1; | |
800 |
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8 | oMc = data.oMi[joint1_id] * cmodel.joint1_placement; // contact placement |
801 | |||
802 | typedef typename Data::Inertia Inertia; | ||
803 | typedef typename Inertia::Symmetric3 Symmetric3; | ||
804 | |||
805 | // Add contact inertia to the joint articulated inertia | ||
806 |
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8 | Symmetric3 S(Symmetric3::Zero()); |
807 |
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8 | if (cmodel.type == CONTACT_6D) |
808 |
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4 | S.setDiagonal(Symmetric3::Vector3::Constant(settings.mu)); |
809 | |||
810 |
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8 | const Inertia contact_inertia(settings.mu, oMc.translation(), S); |
811 |
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8 | data.oYaba[joint1_id] += contact_inertia.matrix(); |
812 | |||
813 | 8 | typename Data::Motion & joint_velocity = data.ov[joint1_id]; | |
814 | 8 | Motion & contact1_velocity = cdata.contact1_velocity; | |
815 |
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8 | contact1_velocity = oMc.actInv(joint_velocity); |
816 | |||
817 | 8 | typename Data::Motion & joint_spatial_acceleration_drift = data.oa_drift[joint1_id]; | |
818 | 8 | Motion & contact_acceleration_drift = cdata.contact1_acceleration_drift; | |
819 |
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16 | contact_acceleration_drift = |
820 |
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8 | cmodel.desired_contact_acceleration - oMc.actInv(joint_spatial_acceleration_drift); |
821 | |||
822 | // Handle the classic acceleration term | ||
823 |
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8 | if (cmodel.type == CONTACT_3D) |
824 |
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4 | contact_acceleration_drift.linear() -= |
825 |
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8 | contact1_velocity.angular().cross(contact1_velocity.linear()); |
826 | |||
827 | // Init contact force | ||
828 | // cdata.contact_force.setZero(); | ||
829 | |||
830 | // Add the contribution of the constraints to the force vector | ||
831 |
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8 | data.of_augmented[joint1_id] = oMc.act(cdata.contact_force); |
832 |
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8 | if (cmodel.type == CONTACT_3D) |
833 | { | ||
834 |
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4 | data.of_augmented[joint1_id] -= |
835 |
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8 | settings.mu * oMc.act(Force(contact_acceleration_drift.linear(), Force::Vector3::Zero())); |
836 | } | ||
837 | else | ||
838 | { | ||
839 |
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4 | data.of_augmented[joint1_id] -= |
840 |
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8 | oMc.act(Force(settings.mu * contact_acceleration_drift.toVector())); |
841 | } | ||
842 | } | ||
843 | |||
844 | typedef ContactABABackwardStep1<Scalar, Options, JointCollectionTpl, TangentVectorType2> Pass2; | ||
845 |
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196 | for (JointIndex i = (JointIndex)model.njoints - 1; i > 0; --i) |
846 | { | ||
847 |
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189 | Pass2::run( |
848 |
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378 | model.joints[i], data.joints[i], typename Pass2::ArgsType(model, data, tau.derived())); |
849 | } | ||
850 | |||
851 | typedef ContactABAForwardStep2<Scalar, Options, JointCollectionTpl> Pass3; | ||
852 |
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196 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
853 | { | ||
854 |
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189 | Pass3::run(model.joints[i], data.joints[i], typename Pass3::ArgsType(model, data)); |
855 |
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189 | data.of_augmented[i].setZero(); |
856 | } | ||
857 | |||
858 | 7 | settings.iter = 0; | |
859 | 7 | bool optimal_solution_found = false; | |
860 |
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7 | if (contact_models.size() == 0) |
861 | { | ||
862 | 3 | return data.ddq; | |
863 | } | ||
864 | |||
865 | 4 | Scalar primal_infeasibility = Scalar(0); | |
866 | 4 | int it = 0; | |
867 |
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10 | for (int it = 0; it < settings.max_iter; ++it) |
868 | { | ||
869 | // Compute contact acceleration errors and max contact errors, aka primal_infeasibility | ||
870 | 8 | primal_infeasibility = Scalar(0); | |
871 |
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24 | for (size_t contact_id = 0; contact_id < contact_models.size(); ++contact_id) |
872 | { | ||
873 | 16 | const RigidConstraintModel & cmodel = contact_models[contact_id]; | |
874 | 16 | RigidConstraintData & cdata = contact_data[contact_id]; | |
875 | |||
876 | 16 | const typename Model::JointIndex & joint1_id = cmodel.joint1_id; | |
877 | |||
878 | 16 | const SE3 & oMc = cdata.oMc1; | |
879 | 16 | const Motion & contact1_velocity = cdata.contact1_velocity; | |
880 | |||
881 | // Compute contact acceleration error (drift) | ||
882 | 16 | const typename Data::Motion & joint_spatial_acceleration = data.oa_augmented[joint1_id]; | |
883 |
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16 | cdata.contact_acceleration_deviation = |
884 |
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16 | oMc.actInv(joint_spatial_acceleration) - cmodel.desired_contact_acceleration; |
885 |
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16 | if (cmodel.type == CONTACT_3D) |
886 |
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8 | cdata.contact_acceleration_deviation.linear() += |
887 |
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16 | contact1_velocity.angular().cross(contact1_velocity.linear()); |
888 | |||
889 | using std::max; | ||
890 |
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16 | if (cmodel.type == CONTACT_3D) |
891 | { | ||
892 | 16 | primal_infeasibility = max<Scalar>( | |
893 | primal_infeasibility, | ||
894 |
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8 | cdata.contact_acceleration_deviation.linear().template lpNorm<Eigen::Infinity>()); |
895 | } | ||
896 | else | ||
897 | { | ||
898 | 16 | primal_infeasibility = max<Scalar>( | |
899 | primal_infeasibility, | ||
900 |
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8 | cdata.contact_acceleration_deviation.toVector().template lpNorm<Eigen::Infinity>()); |
901 | } | ||
902 | } | ||
903 | |||
904 | 16 | if (check_expression_if_real<Scalar, false>( | |
905 |
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8 | primal_infeasibility < settings.absolute_accuracy)) |
906 | { | ||
907 | 2 | optimal_solution_found = true; | |
908 | 2 | break; | |
909 | } | ||
910 | |||
911 | // Update contact forces | ||
912 |
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18 | for (size_t contact_id = 0; contact_id < contact_models.size(); ++contact_id) |
913 | { | ||
914 | 12 | const RigidConstraintModel & cmodel = contact_models[contact_id]; | |
915 | 12 | RigidConstraintData & cdata = contact_data[contact_id]; | |
916 | |||
917 | 12 | const typename Model::JointIndex & joint1_id = cmodel.joint1_id; | |
918 | |||
919 | 12 | const SE3 & oMc = cdata.oMc1; | |
920 | |||
921 | // Update contact force value | ||
922 |
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12 | if (cmodel.type == CONTACT_3D) |
923 |
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6 | cdata.contact_force.linear().noalias() += |
924 |
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12 | settings.mu * cdata.contact_acceleration_deviation.linear(); |
925 | else | ||
926 |
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6 | cdata.contact_force.toVector().noalias() += |
927 |
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6 | settings.mu * cdata.contact_acceleration_deviation.toVector(); |
928 | |||
929 | // Add the contribution of the constraints to the force vector | ||
930 | 12 | const Motion & contact_acceleration_drift = cdata.contact1_acceleration_drift; | |
931 |
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12 | data.of_augmented[joint1_id] = oMc.act(cdata.contact_force); |
932 |
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12 | if (cmodel.type == CONTACT_3D) |
933 | { | ||
934 |
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6 | data.of_augmented[joint1_id] -= |
935 | settings.mu | ||
936 |
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12 | * oMc.act(Force(contact_acceleration_drift.linear(), Force::Vector3::Zero())); |
937 | } | ||
938 | else | ||
939 | { | ||
940 |
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6 | data.of_augmented[joint1_id] -= |
941 |
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12 | oMc.act(Force(settings.mu * contact_acceleration_drift.toVector())); |
942 | } | ||
943 | } | ||
944 | |||
945 | typedef ContactABABackwardStepAugmented< | ||
946 | Scalar, Options, JointCollectionTpl, TangentVectorType2> | ||
947 | Pass2Augmented; | ||
948 |
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168 | for (JointIndex i = (JointIndex)model.njoints - 1; i > 0; --i) |
949 | { | ||
950 |
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162 | Pass2Augmented::run( |
951 |
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324 | model.joints[i], data.joints[i], typename Pass2::ArgsType(model, data, tau.derived())); |
952 | } | ||
953 | |||
954 | typedef ContactABAForwardStep2<Scalar, Options, JointCollectionTpl> Pass3; | ||
955 |
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168 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) |
956 | { | ||
957 |
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162 | Pass3::run(model.joints[i], data.joints[i], typename Pass3::ArgsType(model, data)); |
958 |
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162 | data.of_augmented[i].setZero(); |
959 | } | ||
960 | } | ||
961 | |||
962 | 4 | settings.iter = it; | |
963 | 4 | settings.absolute_residual = primal_infeasibility; | |
964 | |||
965 | 4 | return data.ddq; | |
966 | } | ||
967 | |||
968 | template< | ||
969 | typename Scalar, | ||
970 | int Options, | ||
971 | template<typename, int> class JointCollectionTpl, | ||
972 | typename ConfigVectorType, | ||
973 | typename TangentVectorType1, | ||
974 | typename TangentVectorType2, | ||
975 | class ModelAllocator, | ||
976 | class DataAllocator> | ||
977 | inline const typename DataTpl<Scalar, Options, JointCollectionTpl>::TangentVectorType & proxLTLs( | ||
978 | const ModelTpl<Scalar, Options, JointCollectionTpl> & model, | ||
979 | DataTpl<Scalar, Options, JointCollectionTpl> & data, | ||
980 | const Eigen::MatrixBase<ConfigVectorType> & q, | ||
981 | const Eigen::MatrixBase<TangentVectorType1> & v, | ||
982 | const Eigen::MatrixBase<TangentVectorType2> & tau, | ||
983 | const std::vector<RigidConstraintModelTpl<Scalar, Options>, ModelAllocator> & contact_models, | ||
984 | std::vector<RigidConstraintDataTpl<Scalar, Options>, DataAllocator> & contact_data, | ||
985 | ProximalSettingsTpl<Scalar> & settings) | ||
986 | { | ||
987 | // TODO: wip not yet tested. | ||
988 | using namespace Eigen; | ||
989 | |||
990 | assert(model.check(data) && "data is not consistent with model."); | ||
991 | PINOCCHIO_CHECK_ARGUMENT_SIZE( | ||
992 | q.size(), model.nq, "The joint configuration vector is not of right size"); | ||
993 | PINOCCHIO_CHECK_ARGUMENT_SIZE( | ||
994 | v.size(), model.nv, "The joint velocity vector is not of right size"); | ||
995 | PINOCCHIO_CHECK_ARGUMENT_SIZE( | ||
996 | tau.size(), model.nv, "The joint torque vector is not of right size"); | ||
997 | PINOCCHIO_CHECK_INPUT_ARGUMENT( | ||
998 | check_expression_if_real<Scalar>(settings.mu >= Scalar(0)), "mu has to be positive"); | ||
999 | PINOCCHIO_CHECK_ARGUMENT_SIZE( | ||
1000 | contact_models.size(), contact_data.size(), "contact models and data size are not the same"); | ||
1001 | |||
1002 | typedef ModelTpl<Scalar, Options, JointCollectionTpl> Model; | ||
1003 | typedef DataTpl<Scalar, Options, JointCollectionTpl> Data; | ||
1004 | |||
1005 | typedef typename Data::Motion Motion; | ||
1006 | |||
1007 | typedef typename Model::JointIndex JointIndex; | ||
1008 | typedef RigidConstraintModelTpl<Scalar, Options> RigidConstraintModel; | ||
1009 | typedef RigidConstraintDataTpl<Scalar, Options> RigidConstraintData; | ||
1010 | typedef typename Data::Force Force; | ||
1011 | |||
1012 | // Forward pass to compute the Jacobian and the inertia matrices | ||
1013 | typedef ContactABAForwardStep1< | ||
1014 | Scalar, Options, JointCollectionTpl, ConfigVectorType, TangentVectorType1> | ||
1015 | Pass1; | ||
1016 | data.tau = tau; | ||
1017 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) | ||
1018 | { | ||
1019 | Pass1::run( | ||
1020 | model.joints[i], data.joints[i], | ||
1021 | typename Pass1::ArgsType(model, data, q.derived(), v.derived())); | ||
1022 | data.of_augmented[i].setZero(); | ||
1023 | data.of[i] += data.oYcrb[i] * data.oa_drift[i]; | ||
1024 | } | ||
1025 | |||
1026 | // Update the inertia matrix of the constrained links | ||
1027 | for (size_t k = 0; k < contact_models.size(); ++k) | ||
1028 | { | ||
1029 | const RigidConstraintModel & cmodel = contact_models[k]; | ||
1030 | RigidConstraintData & cdata = contact_data[k]; | ||
1031 | |||
1032 | const typename Model::JointIndex joint1_id = cmodel.joint1_id; | ||
1033 | |||
1034 | // Compute relative placement between the joint and the contact frame | ||
1035 | SE3 & oMc = cdata.oMc1; | ||
1036 | oMc = data.oMi[joint1_id] * cmodel.joint1_placement; // contact placement | ||
1037 | |||
1038 | typedef typename Data::Inertia Inertia; | ||
1039 | typedef typename Inertia::Symmetric3 Symmetric3; | ||
1040 | |||
1041 | // Add contact inertia to the joint articulated inertia | ||
1042 | Symmetric3 S(Symmetric3::Zero()); | ||
1043 | if (cmodel.type == CONTACT_6D) | ||
1044 | S.setDiagonal(Symmetric3::Vector3::Constant(settings.mu)); | ||
1045 | |||
1046 | const Inertia contact_inertia(settings.mu, oMc.translation(), S); | ||
1047 | data.oYcrb[joint1_id] += contact_inertia; | ||
1048 | |||
1049 | typename Data::Motion & joint_velocity = data.ov[joint1_id]; | ||
1050 | Motion & contact1_velocity = cdata.contact1_velocity; | ||
1051 | contact1_velocity = oMc.actInv(joint_velocity); | ||
1052 | |||
1053 | typename Data::Motion & joint_spatial_acceleration_drift = data.oa_drift[joint1_id]; | ||
1054 | Motion & contact_acceleration_drift = cdata.contact1_acceleration_drift; | ||
1055 | contact_acceleration_drift = | ||
1056 | cmodel.desired_contact_acceleration - oMc.actInv(joint_spatial_acceleration_drift); | ||
1057 | |||
1058 | // Handle the classic acceleration term | ||
1059 | if (cmodel.type == CONTACT_3D) | ||
1060 | contact_acceleration_drift.linear() -= | ||
1061 | contact1_velocity.angular().cross(contact1_velocity.linear()); | ||
1062 | |||
1063 | // Init contact force | ||
1064 | // cdata.contact_force.setZero(); | ||
1065 | |||
1066 | // Add the contribution of the constraints to the force vector | ||
1067 | // data.of_augmented[joint1_id] = oMc.act(cdata.contact_force); | ||
1068 | if (cmodel.type == CONTACT_3D) | ||
1069 | { | ||
1070 | data.of_augmented[joint1_id] -= | ||
1071 | settings.mu * oMc.act(Force(contact_acceleration_drift.linear(), Force::Vector3::Zero())); | ||
1072 | } | ||
1073 | else | ||
1074 | { | ||
1075 | data.of_augmented[joint1_id] -= | ||
1076 | oMc.act(Force(settings.mu * contact_acceleration_drift.toVector())); | ||
1077 | } | ||
1078 | } | ||
1079 | |||
1080 | // Backward pass to compute the modified CRBA | ||
1081 | typedef impl::CrbaWorldConventionBackwardStep<Scalar, Options, JointCollectionTpl> Pass2; | ||
1082 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) | ||
1083 | { | ||
1084 | Pass2::run(model.joints[i], typename Pass2::ArgsType(model, data)); | ||
1085 | |||
1086 | // Compute data.oF in RNEA style to get bias forces | ||
1087 | const JointIndex & parent = model.parents[i]; | ||
1088 | const JointModel & jmodel = model.joints[i]; | ||
1089 | data.of[i] += data.of_augmented[i]; | ||
1090 | data.of[parent] += data.of[i]; | ||
1091 | |||
1092 | // subtract the bias forces from the torque to get Mv_dot_free | ||
1093 | jmodel.jointVelocitySelector(data.tau).noalias() -= | ||
1094 | jmodel.jointCols(data.J).transpose() * (data.of[i].toVector()); | ||
1095 | data.of_augmented[i].toVector().setZero(); | ||
1096 | } | ||
1097 | |||
1098 | // Factorize the CRBA | ||
1099 | // crba(model, data, q); | ||
1100 | pinocchio::cholesky::decompose(model, data); | ||
1101 | data.ddq = pinocchio::cholesky::solve(model, data, data.tau); | ||
1102 | |||
1103 | data.u = data.ddq; | ||
1104 | // data.tau.setZero(); | ||
1105 | // Proximal iterations | ||
1106 | for (int it = 1; it < settings.max_iter; it++) | ||
1107 | { | ||
1108 | data.tau.setZero(); | ||
1109 | // Compute accelerations and constraint residual | ||
1110 | data.oa_augmented[0].setZero(); | ||
1111 | for (JointIndex i = 1; i < (JointIndex)model.njoints; ++i) | ||
1112 | { | ||
1113 | if (data.constraints_supported_dim[i] > 0) | ||
1114 | { | ||
1115 | const JointModel & jmodel = model.joints[i]; | ||
1116 | data.oa_augmented[i].toVector().noalias() = | ||
1117 | data.oa_augmented[model.parents[i]].toVector() | ||
1118 | + jmodel.jointCols(data.J) * jmodel.jointVelocitySelector(data.u); | ||
1119 | data.of_augmented[i].toVector().setZero(); | ||
1120 | } | ||
1121 | } | ||
1122 | |||
1123 | // Check convergence | ||
1124 | for (size_t k = 0; k < contact_models.size(); ++k) | ||
1125 | { | ||
1126 | const RigidConstraintModel & cmodel = contact_models[k]; | ||
1127 | RigidConstraintData & cdata = contact_data[k]; | ||
1128 | |||
1129 | const typename Model::JointIndex joint1_id = cmodel.joint1_id; | ||
1130 | |||
1131 | // Compute relative placement between the joint and the contact frame | ||
1132 | SE3 & oMc = cdata.oMc1; | ||
1133 | oMc = data.oMi[joint1_id] * cmodel.joint1_placement; // contact placement | ||
1134 | |||
1135 | Motion & contact_acceleration_drift = cdata.contact1_acceleration_drift; | ||
1136 | contact_acceleration_drift -= oMc.actInv(data.oa_augmented[joint1_id]); | ||
1137 | |||
1138 | // Add the contribution of the constraints to the force vector | ||
1139 | if (cmodel.type == CONTACT_3D) | ||
1140 | { | ||
1141 | data.of_augmented[joint1_id] -= | ||
1142 | settings.mu | ||
1143 | * oMc.act(Force(contact_acceleration_drift.linear(), Force::Vector3::Zero())); | ||
1144 | } | ||
1145 | else | ||
1146 | { | ||
1147 | data.of_augmented[joint1_id] -= | ||
1148 | oMc.act(Force(settings.mu * contact_acceleration_drift.toVector())); | ||
1149 | } | ||
1150 | } | ||
1151 | |||
1152 | for (JointIndex i = (JointIndex)(model.njoints - 1); i > 0; --i) | ||
1153 | { | ||
1154 | if (data.constraints_supported_dim[i] > 0) | ||
1155 | { | ||
1156 | |||
1157 | const JointIndex & parent = model.parents[i]; | ||
1158 | const JointModel & jmodel = model.joints[i]; | ||
1159 | data.of_augmented[parent] += data.of_augmented[i]; | ||
1160 | |||
1161 | jmodel.jointVelocitySelector(data.tau).noalias() = | ||
1162 | -jmodel.jointCols(data.J).transpose() * (data.of_augmented[i].toVector()); | ||
1163 | } | ||
1164 | } | ||
1165 | |||
1166 | data.u = cholesky::solve(model, data, data.tau); | ||
1167 | data.ddq.noalias() += data.u; | ||
1168 | } | ||
1169 | |||
1170 | return data.ddq; | ||
1171 | } | ||
1172 | |||
1173 | } // namespace pinocchio | ||
1174 | |||
1175 | #endif // ifndef __pinocchio_algorithm_constraint_dynamics_hxx__ | ||
1176 |